File size: 319,539 Bytes
76d4cf5
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
1469
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
1482
1483
1484
1485
1486
1487
1488
1489
1490
1491
1492
1493
1494
1495
1496
1497
1498
1499
1500
1501
1502
1503
1504
1505
1506
1507
1508
1509
1510
1511
1512
1513
1514
1515
1516
1517
1518
1519
1520
1521
1522
1523
1524
1525
1526
1527
1528
1529
1530
1531
1532
1533
1534
1535
1536
1537
1538
1539
1540
1541
1542
1543
1544
1545
1546
1547
1548
1549
1550
1551
1552
1553
1554
1555
1556
1557
1558
1559
1560
1561
1562
1563
1564
1565
1566
1567
1568
1569
1570
1571
1572
1573
1574
1575
1576
1577
1578
1579
1580
1581
1582
1583
1584
1585
1586
1587
1588
1589
1590
1591
1592
1593
1594
1595
1596
1597
1598
1599
1600
1601
1602
1603
1604
1605
1606
1607
1608
1609
1610
1611
1612
1613
1614
1615
1616
1617
1618
1619
1620
1621
1622
1623
1624
1625
1626
1627
1628
1629
1630
1631
1632
1633
1634
1635
1636
1637
1638
1639
1640
1641
1642
1643
1644
1645
1646
1647
1648
1649
1650
1651
1652
1653
1654
1655
1656
1657
1658
1659
1660
1661
1662
1663
1664
1665
1666
1667
1668
1669
1670
1671
1672
1673
1674
1675
1676
1677
1678
1679
1680
1681
1682
1683
1684
1685
1686
1687
1688
1689
1690
1691
1692
1693
1694
1695
1696
1697
1698
1699
1700
1701
1702
1703
1704
1705
1706
1707
1708
1709
1710
1711
1712
1713
1714
1715
1716
1717
1718
1719
1720
1721
1722
1723
1724
1725
1726
1727
1728
1729
1730
1731
1732
1733
1734
1735
1736
1737
1738
1739
1740
1741
1742
1743
1744
1745
1746
1747
1748
1749
1750
1751
1752
1753
1754
1755
1756
1757
1758
1759
1760
1761
1762
1763
1764
1765
1766
1767
1768
1769
1770
1771
1772
1773
1774
1775
1776
1777
1778
1779
1780
1781
1782
1783
1784
1785
1786
1787
1788
1789
1790
1791
1792
1793
1794
1795
1796
1797
1798
1799
1800
1801
1802
1803
1804
1805
1806
1807
1808
1809
1810
1811
1812
1813
1814
1815
1816
1817
1818
1819
1820
1821
1822
1823
1824
1825
1826
1827
1828
1829
1830
1831
1832
1833
1834
1835
1836
1837
1838
1839
1840
1841
1842
1843
1844
1845
1846
1847
1848
1849
1850
1851
1852
1853
1854
1855
1856
1857
1858
1859
1860
1861
1862
1863
1864
1865
1866
1867
1868
1869
1870
1871
1872
1873
1874
1875
1876
1877
1878
1879
1880
1881
1882
1883
1884
1885
1886
1887
1888
1889
1890
1891
1892
1893
1894
1895
1896
1897
1898
1899
1900
1901
1902
1903
1904
1905
1906
1907
1908
1909
1910
1911
1912
1913
1914
1915
1916
1917
1918
1919
1920
1921
1922
1923
1924
1925
1926
1927
1928
1929
1930
1931
1932
1933
1934
1935
1936
1937
1938
1939
1940
1941
1942
1943
1944
1945
1946
1947
1948
1949
1950
1951
1952
1953
1954
1955
1956
1957
1958
1959
1960
1961
1962
1963
1964
1965
1966
1967
1968
1969
1970
1971
1972
1973
1974
1975
1976
1977
1978
1979
1980
1981
1982
1983
1984
1985
1986
1987
1988
1989
1990
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
2041
2042
2043
2044
2045
2046
2047
2048
2049
2050
2051
2052
2053
2054
2055
2056
2057
2058
2059
2060
2061
2062
2063
2064
2065
2066
2067
2068
2069
2070
2071
2072
2073
2074
2075
2076
2077
2078
2079
2080
2081
2082
2083
2084
2085
2086
2087
2088
2089
2090
2091
2092
2093
2094
2095
2096
2097
2098
2099
2100
2101
2102
2103
2104
2105
2106
2107
2108
2109
2110
2111
2112
2113
2114
2115
2116
2117
2118
2119
2120
2121
2122
2123
2124
2125
2126
2127
2128
2129
2130
2131
2132
2133
2134
2135
2136
2137
2138
2139
2140
2141
2142
2143
2144
2145
2146
2147
2148
2149
2150
2151
2152
2153
2154
2155
2156
2157
2158
2159
2160
2161
2162
2163
2164
2165
2166
2167
2168
2169
2170
2171
2172
2173
2174
2175
2176
2177
2178
2179
2180
2181
2182
2183
2184
2185
2186
2187
2188
2189
2190
2191
2192
2193
2194
2195
2196
2197
2198
2199
2200
2201
2202
2203
2204
2205
2206
2207
2208
2209
2210
2211
2212
2213
2214
2215
2216
2217
2218
2219
2220
2221
2222
2223
2224
2225
2226
2227
2228
2229
2230
2231
2232
2233
2234
2235
2236
2237
2238
2239
2240
2241
2242
2243
2244
2245
2246
2247
2248
2249
2250
2251
2252
2253
2254
2255
2256
2257
2258
2259
2260
2261
2262
2263
2264
2265
2266
2267
2268
2269
2270
2271
2272
2273
2274
2275
2276
2277
2278
2279
2280
2281
2282
2283
2284
2285
2286
2287
2288
2289
2290
2291
2292
2293
2294
2295
2296
2297
2298
2299
2300
2301
2302
2303
2304
2305
2306
2307
2308
2309
2310
2311
2312
2313
2314
2315
2316
2317
2318
2319
2320
2321
2322
2323
2324
2325
2326
2327
2328
2329
2330
2331
2332
2333
2334
2335
2336
2337
2338
2339
2340
2341
2342
2343
2344
2345
2346
2347
2348
2349
2350
2351
2352
2353
2354
2355
2356
2357
2358
2359
2360
2361
2362
2363
2364
2365
2366
2367
2368
2369
2370
2371
2372
2373
2374
2375
2376
2377
2378
2379
2380
2381
2382
2383
2384
2385
2386
2387
2388
2389
2390
2391
2392
2393
2394
2395
2396
2397
2398
2399
2400
2401
2402
2403
2404
2405
2406
2407
2408
2409
2410
2411
2412
2413
2414
2415
2416
2417
2418
2419
2420
2421
2422
2423
2424
2425
2426
2427
2428
2429
2430
2431
2432
2433
2434
2435
2436
2437
2438
2439
2440
2441
2442
2443
2444
2445
2446
2447
2448
2449
2450
2451
2452
2453
2454
2455
2456
2457
2458
2459
2460
2461
2462
2463
2464
2465
2466
2467
2468
2469
2470
2471
2472
2473
2474
2475
2476
2477
2478
2479
2480
2481
2482
2483
2484
2485
2486
2487
2488
2489
2490
2491
2492
2493
2494
2495
2496
2497
2498
2499
2500
2501
2502
2503
2504
2505
2506
2507
2508
2509
2510
2511
2512
2513
2514
2515
2516
2517
2518
2519
2520
2521
2522
2523
2524
2525
2526
2527
2528
2529
2530
2531
2532
2533
2534
2535
2536
2537
2538
2539
2540
2541
2542
2543
2544
2545
2546
2547
2548
2549
2550
2551
2552
2553
2554
2555
2556
2557
2558
2559
2560
2561
2562
2563
2564
2565
2566
2567
2568
2569
2570
2571
2572
2573
2574
2575
2576
2577
2578
2579
2580
2581
2582
2583
2584
2585
2586
2587
2588
2589
2590
2591
2592
2593
2594
2595
2596
2597
2598
2599
2600
2601
2602
2603
2604
2605
2606
2607
2608
2609
2610
2611
2612
2613
2614
2615
2616
2617
2618
2619
2620
2621
2622
2623
2624
2625
2626
2627
2628
2629
2630
2631
2632
2633
2634
2635
2636
2637
2638
2639
2640
2641
2642
2643
2644
2645
2646
2647
2648
2649
2650
2651
2652
2653
2654
2655
2656
2657
2658
2659
2660
2661
2662
2663
2664
2665
2666
2667
2668
2669
2670
2671
2672
2673
2674
2675
2676
2677
2678
2679
2680
2681
2682
2683
2684
2685
2686
2687
2688
2689
2690
2691
2692
2693
2694
2695
2696
2697
2698
2699
2700
2701
2702
2703
2704
2705
2706
2707
2708
2709
2710
2711
2712
2713
2714
2715
2716
2717
2718
2719
2720
2721
2722
2723
2724
2725
2726
2727
2728
2729
2730
2731
2732
2733
2734
2735
2736
2737
2738
2739
2740
2741
2742
2743
2744
2745
2746
2747
2748
2749
2750
2751
2752
2753
2754
2755
2756
2757
2758
2759
2760
2761
2762
2763
2764
2765
2766
2767
2768
2769
2770
2771
2772
2773
2774
2775
2776
2777
2778
2779
2780
2781
2782
2783
2784
2785
2786
2787
2788
2789
2790
2791
2792
2793
2794
2795
2796
2797
2798
2799
2800
2801
2802
2803
2804
2805
2806
2807
2808
2809
2810
2811
2812
2813
2814
2815
2816
2817
2818
2819
2820
2821
2822
2823
2824
2825
2826
2827
2828
2829
2830
2831
2832
2833
2834
2835
2836
2837
2838
2839
2840
2841
2842
2843
2844
2845
2846
2847
2848
2849
2850
2851
2852
2853
2854
2855
2856
2857
2858
2859
2860
2861
2862
2863
2864
2865
2866
2867
2868
2869
2870
2871
2872
2873
2874
2875
2876
2877
2878
2879
2880
2881
2882
2883
2884
2885
2886
2887
2888
2889
2890
2891
2892
2893
2894
2895
2896
2897
2898
2899
2900
2901
2902
2903
2904
2905
2906
2907
2908
2909
2910
2911
2912
2913
2914
2915
2916
2917
2918
2919
2920
2921
2922
2923
2924
2925
2926
2927
2928
2929
2930
2931
2932
2933
2934
2935
2936
2937
2938
2939
2940
2941
2942
2943
2944
2945
2946
2947
2948
2949
2950
2951
2952
2953
2954
2955
2956
2957
2958
2959
2960
2961
2962
2963
2964
2965
2966
2967
2968
2969
2970
2971
2972
2973
2974
2975
2976
2977
2978
2979
2980
2981
2982
2983
2984
2985
2986
2987
2988
2989
2990
2991
2992
2993
2994
2995
2996
2997
2998
2999
3000
3001
3002
3003
3004
3005
3006
3007
3008
3009
3010
3011
3012
3013
3014
3015
3016
3017
3018
3019
3020
3021
3022
3023
3024
3025
3026
3027
3028
3029
3030
3031
3032
3033
3034
3035
3036
3037
3038
3039
3040
3041
3042
3043
3044
3045
3046
3047
3048
3049
3050
3051
3052
3053
3054
3055
3056
3057
3058
3059
3060
3061
3062
3063
3064
3065
3066
3067
3068
3069
3070
3071
3072
3073
3074
3075
3076
3077
3078
3079
3080
3081
3082
3083
3084
3085
3086
3087
3088
3089
3090
3091
3092
3093
3094
3095
3096
3097
3098
3099
3100
3101
3102
3103
3104
3105
3106
3107
3108
3109
3110
3111
3112
3113
3114
3115
3116
3117
3118
3119
3120
3121
3122
3123
3124
3125
3126
3127
3128
3129
3130
3131
3132
3133
3134
3135
3136
3137
3138
3139
3140
3141
3142
3143
3144
3145
3146
3147
3148
3149
3150
3151
3152
3153
3154
3155
3156
3157
3158
3159
3160
3161
3162
3163
3164
3165
3166
3167
3168
3169
3170
3171
3172
3173
3174
3175
3176
3177
3178
3179
3180
3181
3182
3183
3184
3185
3186
3187
3188
3189
3190
3191
3192
3193
3194
3195
3196
3197
3198
3199
3200
3201
3202
3203
3204
3205
3206
3207
3208
3209
3210
3211
3212
3213
3214
3215
3216
3217
3218
3219
3220
3221
3222
3223
3224
3225
3226
3227
3228
3229
3230
3231
3232
3233
3234
3235
3236
3237
3238
3239
3240
3241
3242
3243
3244
3245
3246
3247
3248
3249
3250
3251
3252
3253
3254
3255
3256
3257
3258
3259
3260
3261
3262
3263
3264
3265
3266
3267
3268
3269
3270
3271
3272
3273
3274
3275
3276
3277
3278
3279
3280
3281
3282
3283
3284
3285
3286
3287
3288
3289
3290
3291
3292
3293
3294
3295
3296
3297
3298
3299
3300
3301
3302
3303
3304
3305
3306
3307
3308
3309
3310
3311
3312
3313
3314
3315
3316
3317
3318
3319
3320
3321
3322
3323
3324
3325
3326
3327
3328
3329
3330
3331
3332
3333
3334
3335
3336
3337
3338
3339
3340
3341
3342
3343
3344
3345
3346
3347
3348
3349
3350
3351
3352
3353
3354
3355
3356
3357
3358
3359
3360
3361
3362
3363
3364
3365
3366
3367
3368
3369
3370
3371
3372
3373
3374
3375
3376
3377
3378
3379
3380
3381
3382
3383
3384
3385
3386
3387
3388
3389
3390
3391
3392
3393
3394
3395
3396
3397
3398
3399
3400
3401
3402
3403
3404
3405
3406
3407
3408
3409
3410
3411
3412
3413
3414
3415
3416
3417
3418
3419
3420
3421
3422
3423
3424
3425
3426
3427
3428
3429
3430
3431
3432
3433
3434
3435
3436
3437
3438
3439
3440
3441
3442
3443
3444
3445
3446
3447
3448
3449
3450
3451
3452
3453
3454
3455
3456
3457
3458
3459
3460
3461
3462
3463
3464
3465
3466
3467
3468
3469
3470
3471
3472
3473
3474
3475
3476
3477
3478
3479
3480
3481
3482
3483
3484
3485
3486
3487
3488
3489
3490
3491
3492
3493
3494
3495
3496
3497
3498
3499
3500
3501
3502
3503
3504
3505
3506
3507
3508
3509
3510
3511
3512
3513
3514
3515
3516
3517
3518
3519
3520
3521
3522
3523
3524
3525
3526
3527
3528
3529
3530
3531
3532
3533
3534
3535
3536
3537
3538
3539
3540
3541
3542
3543
3544
3545
3546
3547
3548
3549
3550
3551
3552
3553
3554
3555
3556
3557
3558
3559
3560
3561
3562
3563
3564
3565
3566
3567
3568
3569
3570
3571
3572
3573
3574
3575
3576
3577
3578
3579
3580
3581
3582
3583
3584
3585
3586
3587
3588
3589
3590
3591
3592
3593
3594
3595
3596
3597
3598
3599
3600
3601
3602
3603
3604
3605
3606
3607
3608
3609
3610
3611
3612
3613
3614
3615
3616
3617
3618
3619
3620
3621
3622
3623
3624
3625
3626
3627
3628
3629
3630
3631
3632
3633
3634
3635
3636
3637
3638
3639
3640
3641
3642
3643
3644
3645
3646
3647
3648
3649
3650
3651
3652
3653
3654
3655
3656
3657
3658
3659
3660
3661
3662
3663
3664
3665
3666
3667
3668
3669
3670
3671
3672
3673
3674
3675
3676
3677
3678
3679
3680
3681
3682
3683
3684
3685
3686
3687
3688
3689
3690
3691
3692
3693
3694
3695
3696
3697
3698
3699
3700
3701
3702
3703
3704
3705
3706
3707
3708
3709
3710
3711
3712
3713
3714
3715
3716
3717
3718
3719
3720
3721
3722
3723
3724
3725
3726
3727
3728
3729
3730
3731
3732
3733
3734
3735
3736
3737
3738
3739
3740
3741
3742
3743
3744
3745
3746
3747
3748
3749
3750
3751
3752
3753
3754
3755
3756
3757
3758
3759
3760
3761
3762
3763
3764
3765
3766
3767
3768
3769
3770
3771
3772
3773
3774
3775
3776
3777
3778
3779
3780
3781
3782
3783
3784
3785
3786
3787
3788
3789
3790
3791
3792
3793
3794
3795
3796
3797
3798
3799
3800
3801
3802
3803
3804
3805
3806
3807
3808
3809
3810
3811
3812
3813
3814
3815
3816
3817
3818
3819
3820
3821
3822
3823
3824
3825
3826
3827
3828
3829
3830
3831
3832
3833
3834
3835
3836
3837
3838
3839
3840
3841
3842
3843
3844
3845
3846
3847
3848
3849
3850
3851
3852
3853
3854
3855
3856
3857
3858
3859
3860
3861
3862
3863
3864
3865
3866
3867
3868
3869
3870
3871
3872
3873
3874
3875
3876
3877
3878
3879
3880
3881
3882
3883
3884
3885
3886
3887
3888
3889
3890
3891
3892
3893
3894
3895
3896
3897
3898
3899
3900
3901
3902
3903
3904
3905
3906
3907
3908
3909
3910
3911
3912
3913
3914
3915
3916
3917
3918
3919
3920
3921
3922
3923
3924
3925
3926
3927
3928
3929
3930
3931
3932
3933
3934
3935
3936
3937
3938
3939
3940
3941
3942
3943
3944
3945
3946
3947
3948
3949
3950
3951
3952
3953
3954
3955
3956
3957
3958
3959
3960
3961
3962
3963
3964
3965
3966
3967
3968
3969
3970
3971
3972
3973
3974
3975
3976
3977
3978
3979
3980
3981
3982
3983
3984
3985
3986
3987
3988
3989
3990
3991
3992
3993
3994
3995
3996
3997
3998
3999
4000
4001
4002
4003
4004
4005
4006
4007
4008
4009
4010
4011
4012
4013
4014
4015
4016
4017
4018
4019
4020
4021
4022
4023
4024
4025
4026
4027
4028
4029
4030
4031
4032
4033
4034
4035
4036
4037
4038
4039
4040
4041
4042
4043
4044
4045
4046
4047
4048
4049
4050
4051
4052
4053
4054
4055
4056
4057
4058
4059
4060
4061
4062
4063
4064
4065
4066
4067
4068
4069
4070
4071
4072
4073
4074
4075
4076
4077
4078
4079
4080
4081
4082
4083
4084
4085
4086
4087
4088
4089
4090
4091
4092
4093
4094
4095
4096
4097
4098
4099
4100
4101
4102
4103
4104
4105
4106
4107
4108
4109
4110
4111
4112
4113
4114
4115
4116
4117
4118
4119
4120
4121
4122
4123
4124
4125
4126
4127
4128
4129
4130
4131
4132
4133
4134
4135
4136
4137
4138
4139
4140
4141
4142
4143
4144
4145
4146
4147
4148
4149
4150
4151
4152
4153
4154
4155
4156
4157
4158
4159
4160
4161
4162
4163
4164
4165
4166
4167
4168
4169
4170
4171
4172
4173
4174
4175
4176
4177
4178
4179
4180
4181
4182
4183
4184
4185
4186
4187
4188
4189
4190
4191
4192
4193
4194
4195
4196
4197
4198
4199
4200
4201
4202
4203
4204
4205
4206
4207
4208
4209
4210
4211
4212
4213
4214
4215
4216
4217
4218
4219
4220
4221
4222
4223
4224
4225
4226
4227
4228
4229
4230
4231
4232
4233
4234
4235
4236
4237
4238
4239
4240
4241
4242
4243
4244
4245
4246
4247
4248
4249
4250
4251
4252
4253
4254
4255
4256
4257
4258
4259
4260
4261
4262
4263
4264
4265
4266
4267
4268
4269
4270
4271
4272
4273
4274
4275
4276
4277
4278
4279
4280
4281
4282
4283
4284
4285
4286
4287
4288
4289
4290
4291
4292
4293
4294
4295
4296
4297
4298
4299
4300
4301
4302
4303
4304
4305
4306
4307
4308
4309
4310
4311
4312
4313
4314
4315
4316
4317
4318
4319
4320
4321
4322
4323
4324
4325
4326
4327
4328
4329
4330
4331
4332
4333
4334
4335
4336
4337
4338
4339
4340
4341
4342
4343
4344
4345
4346
4347
4348
4349
4350
4351
4352
4353
4354
4355
4356
4357
4358
4359
4360
4361
4362
4363
4364
4365
4366
4367
4368
4369
4370
4371
4372
4373
4374
4375
4376
4377
4378
4379
4380
4381
4382
4383
4384
4385
4386
4387
4388
4389
4390
4391
4392
4393
4394
4395
4396
4397
4398
4399
4400
4401
4402
4403
4404
4405
4406
4407
4408
4409
4410
4411
4412
4413
4414
4415
4416
4417
4418
4419
4420
4421
4422
4423
4424
4425
4426
4427
4428
4429
4430
4431
4432
4433
4434
4435
4436
4437
4438
4439
4440
4441
4442
4443
4444
4445
4446
4447
4448
4449
4450
4451
4452
4453
4454
4455
4456
4457
4458
4459
4460
4461
4462
4463
4464
4465
4466
4467
4468
4469
4470
4471
4472
4473
4474
4475
4476
4477
4478
4479
4480
4481
4482
4483
4484
4485
4486
4487
4488
4489
4490
4491
4492
4493
4494
4495
4496
4497
4498
4499
4500
4501
4502
4503
4504
4505
4506
4507
4508
4509
4510
4511
4512
4513
4514
4515
4516
4517
4518
4519
4520
4521
4522
4523
4524
4525
4526
4527
4528
4529
4530
4531
4532
4533
4534
4535
4536
4537
4538
4539
4540
4541
4542
4543
4544
4545
4546
4547
4548
4549
4550
4551
4552
4553
4554
4555
4556
4557
4558
4559
4560
4561
4562
4563
4564
4565
4566
4567
4568
4569
4570
4571
4572
4573
4574
4575
4576
4577
4578
4579
4580
4581
4582
4583
4584
4585
4586
4587
4588
4589
4590
4591
4592
4593
4594
4595
4596
4597
4598
4599
4600
4601
4602
4603
4604
4605
4606
4607
4608
4609
4610
4611
4612
4613
4614
4615
4616
4617
4618
4619
4620
4621
4622
4623
4624
4625
4626
4627
4628
4629
4630
4631
4632
4633
4634
4635
4636
4637
4638
4639
4640
4641
4642
4643
4644
4645
4646
4647
4648
4649
4650
4651
4652
4653
4654
4655
4656
4657
4658
4659
4660
4661
4662
4663
4664
4665
4666
4667
4668
4669
4670
4671
4672
4673
4674
4675
4676
4677
4678
4679
4680
4681
4682
4683
4684
4685
4686
4687
4688
4689
4690
4691
4692
4693
4694
4695
4696
4697
4698
4699
4700
4701
4702
4703
4704
4705
4706
4707
4708
4709
4710
4711
4712
4713
4714
4715
4716
4717
4718
4719
4720
4721
4722
4723
4724
4725
4726
4727
4728
4729
4730
4731
4732
4733
4734
4735
4736
4737
4738
4739
4740
4741
4742
4743
4744
4745
4746
4747
4748
4749
4750
4751
4752
4753
4754
4755
4756
4757
4758
4759
4760
4761
4762
4763
4764
4765
4766
4767
4768
4769
4770
4771
4772
4773
4774
4775
4776
4777
4778
4779
4780
4781
4782
4783
4784
4785
4786
4787
4788
4789
4790
4791
4792
4793
4794
4795
4796
4797
4798
4799
4800
4801
4802
4803
4804
4805
4806
4807
4808
4809
4810
4811
4812
4813
4814
4815
4816
4817
4818
4819
4820
4821
4822
4823
4824
4825
4826
4827
4828
4829
4830
4831
4832
4833
4834
4835
4836
4837
4838
4839
4840
4841
4842
4843
4844
4845
4846
4847
4848
4849
4850
4851
4852
4853
4854
4855
4856
4857
4858
4859
4860
4861
4862
4863
4864
4865
4866
4867
4868
4869
4870
4871
4872
4873
4874
4875
4876
4877
4878
4879
4880
4881
4882
4883
4884
4885
4886
4887
4888
4889
4890
4891
4892
4893
4894
4895
4896
4897
4898
4899
4900
4901
4902
4903
4904
4905
4906
4907
4908
4909
4910
4911
4912
4913
4914
4915
4916
4917
4918
4919
4920
4921
4922
4923
4924
4925
4926
4927
4928
4929
4930
4931
4932
4933
4934
4935
4936
4937
4938
4939
4940
4941
4942
4943
4944
4945
4946
4947
4948
4949
4950
4951
4952
4953
4954
4955
4956
4957
4958
4959
4960
4961
4962
4963
4964
4965
4966
4967
4968
4969
4970
4971
4972
4973
4974
4975
4976
4977
4978
4979
4980
4981
4982
4983
4984
4985
4986
4987
4988
4989
4990
4991
4992
4993
4994
4995
4996
4997
4998
4999
5000
5001
5002
5003
5004
5005
5006
5007
5008
5009
5010
5011
5012
5013
5014
5015
5016
5017
5018
5019
5020
5021
5022
5023
5024
5025
5026
5027
5028
5029
5030
5031
5032
5033
5034
5035
5036
5037
5038
5039
5040
5041
5042
5043
5044
5045
5046
5047
5048
5049
5050
5051
5052
5053
5054
5055
5056
5057
5058
5059
5060
5061
5062
5063
5064
5065
5066
5067
5068
5069
5070
5071
5072
5073
5074
5075
5076
5077
5078
5079
5080
5081
5082
5083
5084
5085
5086
5087
5088
5089
5090
5091
5092
5093
5094
5095
5096
5097
5098
5099
5100
5101
5102
5103
5104
5105
5106
5107
5108
5109
5110
5111
5112
5113
5114
5115
5116
5117
5118
5119
5120
5121
5122
5123
5124
5125
5126
5127
5128
5129
5130
5131
5132
5133
5134
5135
5136
5137
5138
5139
5140
5141
5142
5143
5144
5145
5146
5147
5148
5149
5150
5151
5152
5153
5154
5155
5156
5157
5158
5159
5160
5161
5162
5163
5164
5165
5166
5167
5168
5169
5170
5171
5172
5173
5174
5175
5176
5177
5178
5179
5180
5181
5182
5183
5184
5185
5186
5187
5188
5189
5190
5191
5192
5193
5194
5195
5196
5197
5198
5199
5200
5201
5202
5203
5204
5205
5206
5207
5208
5209
5210
5211
5212
5213
5214
5215
5216
5217
5218
5219
5220
5221
5222
5223
5224
5225
5226
5227
5228
5229
5230
5231
5232
5233
5234
5235
5236
5237
5238
5239
5240
5241
5242
5243
5244
5245
5246
5247
5248
5249
5250
5251
5252
5253
5254
5255
5256
5257
5258
5259
5260
5261
5262
5263
5264
5265
5266
5267
5268
5269
5270
5271
5272
5273
5274
5275
5276
5277
5278
5279
5280
5281
5282
5283
5284
5285
5286
5287
5288
5289
5290
5291
5292
5293
5294
5295
5296
5297
5298
5299
5300
5301
5302
5303
5304
5305
5306
5307
5308
5309
5310
5311
5312
5313
5314
5315
5316
5317
5318
5319
5320
5321
5322
5323
5324
5325
5326
5327
5328
5329
5330
5331
5332
5333
5334
5335
5336
5337
5338
5339
5340
5341
5342
5343
5344
5345
5346
5347
5348
5349
5350
5351
5352
5353
5354
5355
5356
5357
5358
5359
5360
5361
5362
5363
5364
5365
5366
5367
5368
5369
5370
5371
5372
5373
5374
5375
5376
5377
5378
5379
5380
5381
5382
5383
5384
5385
5386
5387
5388
5389
5390
5391
5392
5393
5394
5395
5396
5397
5398
5399
5400
5401
5402
5403
5404
5405
5406
5407
5408
5409
5410
5411
5412
5413
5414
5415
5416
5417
5418
5419
5420
5421
5422
5423
5424
5425
5426
5427
5428
5429
5430
5431
5432
5433
5434
5435
5436
5437
5438
5439
5440
5441
5442
5443
5444
5445
5446
5447
5448
5449
5450
5451
5452
5453
5454
5455
5456
5457
5458
5459
5460
5461
5462
5463
5464
5465
5466
5467
5468
5469
5470
5471
5472
5473
5474
5475
5476
5477
5478
5479
5480
5481
5482
5483
5484
5485
5486
5487
5488
5489
5490
5491
5492
5493
5494
5495
5496
5497
5498
5499
5500
5501
5502
5503
5504
5505
5506
5507
5508
5509
5510
5511
5512
5513
5514
5515
5516
5517
5518
5519
5520
5521
5522
5523
5524
5525
5526
5527
5528
5529
5530
5531
5532
5533
5534
5535
5536
5537
5538
5539
5540
5541
5542
5543
5544
5545
5546
5547
5548
5549
5550
5551
5552
5553
5554
5555
5556
5557
5558
5559
5560
5561
5562
5563
5564
5565
5566
5567
5568
5569
5570
5571
5572
5573
5574
5575
5576
5577
5578
5579
5580
5581
5582
5583
5584
5585
5586
5587
5588
5589
5590
5591
5592
5593
5594
5595
5596
5597
5598
5599
5600
5601
5602
5603
5604
5605
5606
5607
5608
5609
5610
5611
5612
5613
5614
5615
5616
5617
5618
5619
5620
5621
5622
5623
5624
5625
5626
5627
5628
5629
5630
5631
5632
5633
5634
5635
5636
5637
5638
5639
5640
5641
5642
5643
5644
5645
5646
5647
5648
5649
5650
5651
5652
5653
5654
5655
5656
5657
5658
5659
5660
5661
5662
5663
5664
5665
5666
5667
5668
5669
5670
5671
5672
5673
5674
5675
5676
5677
5678
5679
5680
5681
5682
5683
5684
5685
5686
5687
5688
5689
5690
5691
5692
5693
5694
5695
5696
5697
5698
5699
5700
5701
5702
5703
5704
5705
5706
5707
5708
5709
5710
5711
5712
5713
5714
5715
5716
5717
5718
5719
5720
5721
5722
5723
5724
5725
5726
5727
5728
5729
5730
5731
5732
5733
5734
5735
5736
5737
5738
5739
5740
5741
5742
5743
5744
5745
5746
5747
5748
5749
5750
5751
5752
5753
5754
5755
5756
5757
5758
5759
5760
5761
5762
5763
5764
5765
5766
5767
5768
5769
5770
5771
5772
5773
5774
5775
5776
5777
5778
5779
5780
5781
5782
5783
5784
5785
5786
5787
5788
5789
5790
5791
5792
5793
5794
5795
5796
5797
5798
5799
5800
5801
5802
5803
5804
5805
5806
5807
5808
5809
5810
5811
5812
5813
5814
5815
5816
5817
5818
5819
5820
5821
5822
5823
5824
5825
5826
5827
5828
5829
5830
5831
5832
5833
5834
5835
5836
5837
5838
5839
5840
5841
5842
5843
5844
5845
5846
5847
5848
5849
5850
5851
5852
5853
5854
5855
5856
5857
5858
5859
5860
5861
5862
5863
5864
5865
5866
5867
5868
5869
5870
5871
5872
5873
5874
5875
5876
5877
5878
5879
5880
5881
5882
5883
5884
5885
5886
5887
5888
5889
5890
5891
5892
5893
5894
5895
5896
5897
5898
5899
5900
5901
5902
5903
5904
5905
5906
5907
5908
5909
5910
5911
5912
5913
5914
5915
5916
5917
5918
5919
5920
5921
5922
5923
5924
5925
5926
5927
5928
5929
5930
5931
5932
5933
5934
5935
5936
5937
5938
5939
5940
5941
5942
5943
5944
5945
5946
5947
5948
5949
5950
5951
5952
5953
5954
5955
5956
5957
5958
5959
5960
5961
5962
5963
5964
5965
5966
5967
5968
5969
5970
5971
5972
5973
5974
5975
5976
5977
5978
5979
5980
5981
5982
5983
5984
5985
5986
5987
5988
5989
5990
5991
5992
5993
5994
5995
5996
5997
5998
5999
6000
6001
6002
6003
6004
6005
6006
6007
6008
6009
6010
6011
6012
6013
6014
6015
6016
6017
6018
6019
6020
6021
6022
6023
6024
6025
6026
6027
6028
6029
6030
6031
6032
6033
6034
6035
6036
6037
6038
6039
6040
6041
6042
6043
6044
6045
6046
6047
6048
6049
6050
6051
6052
6053
6054
6055
6056
6057
6058
6059
6060
6061
6062
6063
6064
6065
6066
6067
6068
6069
6070
6071
6072
6073
6074
6075
6076
6077
6078
6079
6080
6081
6082
6083
6084
6085
6086
6087
6088
6089
6090
6091
6092
6093
6094
6095
6096
6097
6098
6099
6100
6101
6102
6103
6104
6105
6106
6107
6108
6109
6110
6111
6112
6113
6114
6115
6116
6117
6118
6119
6120
6121
6122
6123
6124
6125
6126
6127
6128
6129
6130
6131
6132
6133
6134
6135
6136
6137
6138
6139
6140
6141
6142
6143
6144
6145
6146
6147
6148
6149
6150
6151
6152
6153
6154
6155
6156
6157
6158
6159
6160
6161
6162
6163
6164
6165
6166
6167
6168
6169
6170
6171
6172
6173
6174
6175
6176
6177
6178
6179
6180
6181
6182
6183
6184
6185
6186
6187
6188
6189
6190
6191
6192
6193
6194
6195
6196
6197
6198
6199
6200
6201
6202
6203
6204
6205
6206
6207
6208
6209
6210
6211
6212
6213
6214
6215
6216
6217
6218
6219
6220
6221
6222
6223
6224
6225
6226
6227
6228
6229
6230
6231
6232
6233
6234
6235
6236
6237
6238
6239
6240
6241
6242
6243
6244
6245
6246
6247
6248
6249
6250
6251
6252
6253
6254
6255
6256
6257
6258
6259
6260
6261
6262
6263
6264
6265
6266
6267
6268
6269
6270
6271
6272
6273
6274
6275
6276
6277
6278
6279
6280
6281
6282
6283
6284
6285
6286
6287
6288
6289
6290
6291
6292
6293
6294
6295
6296
6297
6298
6299
6300
6301
6302
6303
6304
6305
6306
6307
6308
6309
6310
6311
6312
6313
6314
6315
6316
6317
6318
6319
6320
6321
6322
6323
6324
6325
6326
6327
6328
6329
6330
6331
6332
6333
6334
6335
6336
6337
6338
6339
6340
6341
6342
6343
6344
6345
6346
6347
6348
6349
6350
6351
6352
6353
6354
6355
6356
6357
6358
6359
6360
6361
6362
6363
6364
6365
6366
6367
6368
6369
6370
6371
6372
6373
6374
6375
6376
6377
6378
6379
6380
6381
6382
6383
6384
6385
6386
6387
6388
6389
6390
6391
6392
6393
6394
6395
6396
6397
6398
6399
6400
6401
6402
6403
6404
6405
6406
6407
6408
6409
6410
6411
6412
6413
6414
6415
6416
6417
6418
6419
6420
6421
6422
6423
6424
6425
6426
6427
6428
6429
6430
6431
6432
6433
6434
6435
6436
6437
6438
6439
6440
6441
6442
6443
6444
6445
6446
6447
6448
6449
6450
6451
6452
6453
6454
6455
6456
6457
6458
6459
6460
6461
6462
6463
6464
6465
6466
6467
6468
6469
6470
6471
6472
6473
6474
6475
6476
6477
6478
6479
6480
6481
6482
6483
6484
6485
6486
6487
6488
6489
6490
6491
6492
6493
6494
6495
6496
6497
6498
6499
6500
6501
6502
6503
6504
6505
6506
6507
6508
6509
6510
6511
6512
6513
6514
6515
6516
6517
6518
6519
6520
6521
6522
6523
6524
6525
6526
6527
6528
6529
6530
6531
6532
6533
6534
6535
6536
6537
6538
6539
6540
6541
6542
6543
6544
6545
6546
6547
6548
6549
6550
6551
6552
6553
6554
6555
6556
6557
6558
6559
6560
6561
6562
6563
6564
6565
6566
6567
6568
6569
6570
6571
6572
6573
6574
6575
6576
6577
6578
6579
6580
6581
6582
6583
6584
6585
6586
6587
6588
6589
6590
6591
6592
6593
6594
6595
6596
6597
6598
6599
6600
6601
6602
6603
6604
6605
6606
6607
6608
6609
6610
6611
6612
6613
6614
6615
6616
6617
6618
6619
6620
6621
6622
6623
6624
6625
6626
6627
6628
6629
6630
6631
6632
6633
6634
6635
6636
6637
6638
6639
6640
6641
6642
6643
6644
6645
6646
6647
6648
6649
6650
6651
6652
6653
6654
6655
6656
6657
6658
6659
6660
6661
6662
6663
6664
6665
6666
6667
6668
6669
6670
6671
6672
6673
6674
6675
6676
6677
6678
6679
6680
6681
6682
6683
6684
6685
6686
6687
6688
6689
6690
6691
6692
6693
6694
6695
6696
6697
6698
6699
6700
6701
6702
6703
6704
6705
6706
6707
6708
6709
6710
6711
6712
6713
6714
6715
6716
6717
6718
6719
6720
6721
6722
6723
6724
6725
6726
6727
6728
6729
6730
6731
6732
6733
6734
6735
6736
6737
6738
6739
6740
6741
6742
6743
6744
6745
6746
6747
6748
6749
6750
6751
6752
6753
6754
6755
6756
6757
6758
6759
6760
6761
6762
6763
6764
6765
6766
6767
6768
6769
6770
6771
6772
6773
6774
6775
6776
6777
6778
6779
6780
6781
6782
6783
6784
6785
6786
6787
6788
6789
6790
6791
6792
6793
6794
6795
6796
6797
6798
6799
6800
6801
6802
6803
6804
6805
6806
6807
6808
6809
6810
6811
6812
6813
6814
6815
6816
6817
6818
6819
6820
6821
6822
6823
6824
6825
6826
6827
6828
6829
6830
6831
6832
6833
6834
6835
6836
6837
6838
6839
6840
6841
6842
6843
6844
6845
6846
6847
6848
6849
6850
6851
6852
6853
6854
6855
6856
6857
6858
6859
6860
6861
6862
6863
6864
6865
6866
6867
6868
6869
6870
6871
6872
6873
6874
6875
6876
6877
6878
6879
6880
6881
6882
6883
6884
6885
6886
6887
6888
6889
6890
6891
6892
6893
6894
6895
6896
6897
6898
6899
6900
6901
6902
6903
6904
6905
6906
6907
6908
6909
6910
6911
6912
6913
6914
6915
6916
6917
6918
6919
6920
6921
6922
6923
6924
6925
6926
6927
6928
6929
6930
6931
6932
6933
6934
6935
6936
6937
6938
6939
6940
6941
6942
6943
6944
6945
6946
6947
6948
6949
6950
6951
6952
6953
6954
6955
6956
6957
6958
6959
6960
6961
6962
6963
6964
6965
6966
6967
6968
6969
6970
6971
6972
6973
6974
6975
6976
6977
6978
6979
6980
6981
6982
6983
6984
6985
6986
6987
6988
6989
6990
6991
6992
6993
6994
6995
6996
6997
6998
6999
7000
7001
7002
7003
7004
7005
7006
7007
7008
7009
7010
7011
7012
7013
7014
7015
7016
7017
7018
7019
7020
7021
7022
7023
7024
7025
7026
7027
7028
7029
7030
7031
7032
7033
7034
7035
7036
7037
7038
7039
7040
7041
7042
7043
7044
7045
7046
7047
7048
7049
7050
7051
7052
7053
7054
7055
7056
7057
7058
7059
7060
7061
7062
7063
7064
7065
7066
7067
7068
7069
7070
7071
7072
7073
7074
7075
7076
7077
7078
7079
7080
7081
7082
7083
7084
7085
7086
7087
7088
7089
7090
7091
7092
7093
7094
7095
7096
7097
7098
7099
7100
7101
7102
7103
7104
7105
7106
7107
7108
7109
7110
7111
7112
7113
7114
7115
7116
7117
7118
7119
7120
7121
7122
7123
7124
7125
7126
7127
7128
7129
7130
7131
7132
7133
7134
7135
7136
7137
7138
7139
7140
7141
7142
7143
7144
7145
7146
7147
7148
7149
7150
7151
7152
7153
7154
7155
7156
7157
7158
7159
7160
7161
7162
7163
7164
7165
7166
7167
7168
7169
7170
7171
7172
7173
7174
7175
7176
7177
7178
7179
7180
7181
7182
7183
7184
7185
7186
7187
7188
7189
7190
7191
7192
7193
7194
7195
7196
7197
7198
7199
7200
7201
7202
7203
7204
7205
7206
7207
7208
7209
7210
7211
7212
7213
7214
7215
7216
7217
7218
7219
7220
7221
7222
7223
7224
7225
7226
7227
7228
7229
7230
7231
7232
7233
7234
7235
7236
7237
7238
7239
7240
7241
7242
7243
7244
7245
7246
7247
7248
7249
7250
7251
7252
7253
7254
7255
7256
7257
7258
7259
7260
7261
7262
7263
7264
7265
7266
7267
7268
7269
7270
7271
7272
7273
7274
7275
7276
7277
7278
7279
7280
7281
7282
7283
7284
7285
7286
7287
7288
7289
7290
7291
7292
7293
7294
7295
7296
7297
7298
7299
7300
7301
7302
7303
7304
7305
7306
7307
7308
7309
7310
7311
7312
7313
7314
7315
7316
7317
7318
7319
7320
7321
7322
7323
7324
7325
7326
7327
7328
7329
7330
7331
7332
7333
7334
7335
7336
7337
7338
7339
7340
7341
7342
7343
7344
7345
7346
7347
7348
7349
7350
7351
7352
7353
7354
7355
7356
7357
7358
7359
7360
7361
7362
7363
7364
7365
7366
7367
7368
7369
7370
7371
7372
7373
7374
7375
7376
7377
7378
7379
7380
7381
7382
7383
7384
7385
7386
7387
7388
7389
7390
7391
7392
7393
7394
7395
7396
7397
7398
7399
7400
7401
7402
7403
7404
7405
7406
7407
7408
7409
7410
7411
7412
7413
7414
7415
7416
7417
7418
7419
7420
7421
7422
7423
7424
7425
7426
7427
7428
7429
7430
7431
7432
7433
7434
7435
7436
7437
7438
7439
7440
7441
7442
7443
7444
7445
7446
7447
7448
7449
7450
7451
7452
7453
7454
7455
7456
7457
7458
7459
7460
7461
7462
7463
7464
7465
7466
7467
7468
7469
7470
7471
7472
7473
7474
7475
7476
7477
7478
7479
7480
7481
7482
7483
[
    {
        "type": "text",
        "text": "GLM-130B: AN OPEN BILINGUAL PRE-TRAINED MODEL ",
        "text_level": 1,
        "bbox": [
            174,
            103,
            823,
            152
        ],
        "page_idx": 0
    },
    {
        "type": "text",
        "text": "Aohan $\\mathbf { Z e n g } ^ { \\scriptscriptstyle \\circ \\dag \\ast }$ , Xiao $\\mathbf { L i u } ^ { \\diamond \\dagger * }$ , Zhengxiao $\\mathbf { D } \\mathbf { u } ^ { \\circ \\dagger }$ , Zihan Wang⋄, Hanyu Lai⋄, Ming $\\mathbf { D i n g } ^ { \\circ }$ , Zhuoyi $\\mathbf { Y a n g } ^ { \\diamond }$ , Yifan $\\mathbf { X } \\mathbf { u } ^ { \\circ }$ , Wendi Zheng⋄, Xiao $\\mathbf { X i a } ^ { \\diamond }$ , Weng Lam $\\mathbf { T a m } ^ { \\circ \\ S }$ , Zixuan $\\mathbf { M a } ^ { \\diamond }$ , Yufei $\\mathbf { X u e ^ { \\ S } }$ , Jidong Zhai⋄, Wenguang $\\mathbf { C h e n } ^ { \\circ }$ , Zhiyuan $\\mathbf { L i u } ^ { \\diamond }$ , Peng Zhang§, Yuxiao $\\mathbf { D o n g } ^ { \\circ \\dagger }$ , Jie Tang⋄‡ ",
        "bbox": [
            184,
            190,
            787,
            251
        ],
        "page_idx": 0
    },
    {
        "type": "text",
        "text": "Tsinghua University⋄ Zhipu.AI§ ",
        "bbox": [
            370,
            265,
            612,
            279
        ],
        "page_idx": 0
    },
    {
        "type": "text",
        "text": "ABSTRACT ",
        "text_level": 1,
        "bbox": [
            452,
            315,
            544,
            332
        ],
        "page_idx": 0
    },
    {
        "type": "text",
        "text": "We introduce GLM-130B, a bilingual (English and Chinese) pre-trained language model with 130 billion parameters. It is an attempt to open-source a 100B-scale model at least as good as GPT-3 (davinci) and unveil how models of such a scale can be successfully pre-trained. Over the course of this effort, we face numerous unexpected technical and engineering challenges, particularly on loss spikes and divergence. In this paper, we introduce the training process of GLM-130B including its design choices, training strategies for both efficiency and stability, and engineering efforts. The resultant GLM-130B model offers significant outperformance over GPT-3 175B (davinci) on a wide range of popular English benchmarks while the performance advantage is not observed in OPT-175B and BLOOM-176B. It also consistently and significantly outperforms ERNIE TITAN 3.0 260B—the largest Chinese language model—across related benchmarks. Finally, we leverage a unique scaling property of GLM-130B to reach INT4 quantization without post training, with almost no performance loss, making it the first among 100B-scale models and more importantly, allowing its effective inference on $4 \\times \\mathrm { R T X }$ 3090 (24G) or $8 \\times \\mathrm { R T X }$ 2080 Ti (11G) GPUs, the most affordable GPUs required for using 100B-scale models. The GLM-130B model weights are publicly accessible and its code, training logs, related toolkit, and lessons learned are open-sourced at https://github.com/THUDM/GLM-130B/. ",
        "bbox": [
            232,
            348,
            764,
            611
        ],
        "page_idx": 0
    },
    {
        "type": "text",
        "text": "1 INTRODUCTION ",
        "text_level": 1,
        "bbox": [
            176,
            640,
            336,
            656
        ],
        "page_idx": 0
    },
    {
        "type": "text",
        "text": "Large language models (LLMs), particularly those with over 100 billion (100B) parameters (Brown et al., 2020; Thoppilan et al., 2022; Rae et al., 2021; Chowdhery et al., 2022; Wang et al., 2021), have presented attractive scaling laws (Wei et al., 2022b), where emergent zero-shot and few-shot capabilities suddenly arose. Among them, GPT-3 (Brown et al., 2020) with 175B parameters pioneers the study of 100B-scale LLMs by strikingly generating better performance with 32 labeled examples than the fully-supervised BERT-Large model on a variety of benchmarks. However, both GPT-3 (and many other closed-sourced 100B-scale ones)—the model itself—and how it can be trained, have been thus far intransparent to the public. It is of critical value to train a high-quality LLM of such scale with both the model and training process shared with everyone. ",
        "bbox": [
            173,
            671,
            825,
            796
        ],
        "page_idx": 0
    },
    {
        "type": "text",
        "text": "We thus aim to pre-train an open and highly-accurate 100B-scale model with ethical concerns in mind. Over the course of our attempt, we have come to realize that pre-training a dense LLM at such a scale raises numerous unexpected technical and engineering challenges compared to training 10B-scale models, in terms of pre-training efficiency, stability, and convergence. Similar difficulties have also been concurrently observed in training OPT-175B (Zhang et al., 2022) and BLOOM176B (Scao et al., 2022), further demonstrating the significance of GPT-3 as a pioneer study. ",
        "bbox": [
            176,
            804,
            823,
            859
        ],
        "page_idx": 0
    },
    {
        "type": "image",
        "img_path": "images/cb9db52609c42d68ed3c8418c864580221d2a7b02a8c1d573aea0fb5c46b1b9b.jpg",
        "image_caption": [
            "Figure 1: A summary of the performance evaluation and ethical studies. "
        ],
        "image_footnote": [],
        "bbox": [
            181,
            89,
            816,
            205
        ],
        "page_idx": 1
    },
    {
        "type": "table",
        "img_path": "images/4a14c8deb3aff229bfb3de0f864df79d4f48b07e5292f8f4840fc3d37b83fa6d.jpg",
        "table_caption": [
            "Table 1: A comparison between GLM-130B and other 100B-scale LLMs and PaLM 540B. (LN: layer norm.; FPF: floating-point format; MIP: multi-task instruction pre-training; CN : Chinese) "
        ],
        "table_footnote": [],
        "table_body": "<table><tr><td rowspan=\"2\">Model</td><td rowspan=\"2\">Open- source</td><td colspan=\"3\">Architecture &amp;Data</td><td colspan=\"2\">Training</td><td colspan=\"2\">Inference</td></tr><tr><td>Objective</td><td>LN</td><td>Major Lang.</td><td>FPF</td><td>Stabilization</td><td>Quantization</td><td>GPUNeeded</td></tr><tr><td>GPT-3 175B</td><td>×</td><td></td><td></td><td>English</td><td>FP16</td><td>undisclosed</td><td>undisclosed</td><td>undisclosed</td></tr><tr><td>OPT-175B</td><td></td><td>GPT</td><td>Pre-LN</td><td>English</td><td>FP16</td><td>Manual Adjusting</td><td>INT8</td><td>8×3090</td></tr><tr><td>BLOOM-176B</td><td>√</td><td></td><td></td><td>Multi-lingual</td><td>BF161</td><td>Embedding Norm</td><td>INT8</td><td>8×3090</td></tr><tr><td>PaLM540B</td><td>×</td><td>GPT</td><td>Pre-LN</td><td>English</td><td></td><td>BF16 Manual Adjusting</td><td>undisclosed</td><td>undisclosed</td></tr><tr><td>GLM-130B</td><td>√</td><td>GLM (Blank Infilling &amp; MIP)</td><td>Deep- Norm</td><td>Bilingual (EN&amp;CN)</td><td>FP16</td><td>Embedding Gradient Shrink</td><td>INT4</td><td>4 × 3090 or 8 × 1080 Ti</td></tr></table>",
        "bbox": [
            178,
            250,
            820,
            362
        ],
        "page_idx": 1
    },
    {
        "type": "text",
        "text": "",
        "bbox": [
            176,
            367,
            821,
            396
        ],
        "page_idx": 1
    },
    {
        "type": "text",
        "text": "In this work, we introduce the pre-training of a 100B-scale model—GLM-130B, in terms of engineering efforts, model design choices, training strategies for efficiency and stability, and quantization for affordable inference. As it has been widely realized that it is computationally unaffordable to empirically enumerate all possible designs for training 100B-scale LLMs, we present not only the successful part for training GLM-130B but also many of the failed options and lessons learned. Particularly, the training stability is the decisive factor in the success of training models of such a scale. Different from practices such as manually adjusting learning rates in OPT-175B and using embedding norm in the sacrifice of performance in BLOOM-176B, we experiment with various options and find the strategy of embedding gradient shrink can significantly stabilize the training of GLM-130B. ",
        "bbox": [
            173,
            401,
            825,
            541
        ],
        "page_idx": 1
    },
    {
        "type": "text",
        "text": "Specifically, GLM-130B is a bilingual (English and Chinese) bidirectional dense model with 130 billion parameters, pre-trained over 400 billion tokens on a cluster of 96 NVIDIA DGX-A100 $( 8 \\times 4 0 \\mathrm { G } )$ GPU nodes between May 6 and July 3, 2022. Instead of using the GPT-style architecture, we adopt the General Language Model (GLM) algorithm (Du et al., 2022) to leverage its bidirectional attention advantage and autoregressive blank infilling objective. Table 1 summarizes the comparison between GLM-130B, GPT-3 and another two open-source efforts—OPT-175B and BLOOM-176B, as well as PaLM 540B (Chowdhery et al., 2022)—a $4 \\times$ larger model—as a reference. ",
        "bbox": [
            173,
            547,
            825,
            646
        ],
        "page_idx": 1
    },
    {
        "type": "text",
        "text": "Altogether, the conceptual uniqueness and engineering efforts enable GLM-130B to exhibit performance that surpasses the level of GPT-3 on a wide range of benchmarks (in total 112 tasks) and also outperforms PaLM 540B in many cases, while outperformance over GPT-3 has not been observed in OPT-175B and BLOOM-176B (Cf. Figure 1 left). For zero-shot performance, GLM-130B is better than GPT-3 175B $( + 5 . 0 \\% )$ , OPT-175B $( + 6 . 5 \\% )$ , and BLOOM-176B $( + 1 3 . 0 \\% )$ on LAMBADA (Paperno et al., 2016), and achieves $3 \\times$ better performance than GPT-3 on Big-bench-lite (Srivastava et al., 2022). For the 5-shot MMLU (Hendrycks et al., 2021) tasks, it is better than GPT-3 175B $( + 0 . 9 \\% )$ and BLOOM-176B $( + 1 2 . 7 \\% )$ . As a bilingual LLM also in Chinese, it offers significantly better results than ERNIE TITAN 3.0 260B (Wang et al., 2021)—the largest Chinese LLM—on 7 zero-shot CLUE (Xu et al., 2020) datasets $( + 2 4 . 2 6 \\% )$ and 5 zero-shot FewCLUE (Xu et al., 2021) ones $( + 1 2 . 7 5 \\% )$ . Importantly, as summarized in Figure 1 right, GLM-130B as an open model is associated with significantly less bias and generation toxicity than its 100B-scale counterparts. ",
        "bbox": [
            173,
            652,
            825,
            819
        ],
        "page_idx": 1
    },
    {
        "type": "text",
        "text": "Finally, we design GLM-130B to empower as many people as possible to conduct 100B-scale LLM studies. First, instead of using $1 7 5 \\mathrm { B } +$ parameters as OPT and BLOOM, the 130B size is decided because such a size supports inference on a single A100 $( 8 \\times 4 0 \\mathrm { G } )$ server. Second, to further lower the GPU requirements, we quantize GLM-130B into INT4 precision without post training while OPT and BLOOM can only reach INT8. Due to a unique property of the GLM architecture, GLM-130B’s INT4 quantization introduces negligible performance degradation, e.g., $- 0 . 7 4 \\%$ on LAMBADA and even $+ 0 . 0 5 \\%$ on MMLU, making it still better than the uncompressed GPT-3. This enables GLM",
        "bbox": [
            174,
            827,
            825,
            924
        ],
        "page_idx": 1
    },
    {
        "type": "image",
        "img_path": "images/92a8e0bf109fb0deab682c32d3f0cff5ce4759650bc24ac9640318fbae75ccba.jpg",
        "image_caption": [
            "Figure 3: Trials on different LayerNorms for GLM-130B training. It turns out that DeepNorm is the most stable one, as it has small gradient norm and does not spike in the early stage training. "
        ],
        "image_footnote": [],
        "bbox": [
            183,
            101,
            799,
            243
        ],
        "page_idx": 2
    },
    {
        "type": "text",
        "text": "130B’s fast inference with performance guarantee on a server of $4 { \\times } \\mathrm { R T X } ~ 3 0 9 0$ (24G) or $8 \\times \\mathrm { R T X }$   \n2080 Ti (11G), the most affordable GPU required for using 100B-scale LLMs to date. ",
        "bbox": [
            174,
            280,
            821,
            309
        ],
        "page_idx": 2
    },
    {
        "type": "text",
        "text": "We open-source the model checkpoints, code, training logs, related toolkits, and lessons learned. ",
        "bbox": [
            176,
            315,
            805,
            330
        ],
        "page_idx": 2
    },
    {
        "type": "text",
        "text": "2 THE DESIGN CHOICES OF GLM-130B ",
        "text_level": 1,
        "bbox": [
            174,
            338,
            526,
            356
        ],
        "page_idx": 2
    },
    {
        "type": "text",
        "text": "The architecture of a machine learning model defines its inductive bias. However, it has been realized that it is computationally unaffordable to explore various architectural designs for LLMs. We introduce and explain the unique design choices of GLM-130B. ",
        "bbox": [
            174,
            363,
            825,
            405
        ],
        "page_idx": 2
    },
    {
        "type": "text",
        "text": "2.1 GLM-130B’S ARCHITECTURE ",
        "text_level": 1,
        "bbox": [
            176,
            414,
            429,
            428
        ],
        "page_idx": 2
    },
    {
        "type": "text",
        "text": "GLM as Backbone. Most recent 100B-scale LLMs, such as GPT-3, PaLM, OPT, and BLOOM, follow the traditional GPT-style (Radford et al., 2019) architecture of decoder-only autoregressive language modeling. In GLM-130B, we instead make an attempt to explore the potential of a bidirectional GLM—General Language Model (Du et al., 2022)—as its backbone. ",
        "bbox": [
            174,
            433,
            825,
            488
        ],
        "page_idx": 2
    },
    {
        "type": "text",
        "text": "GLM is a transformer-based language model that leverages autoregressive blank infilling as its training objective. Briefly, for a text sequence $\\pmb { x } = [ x _ { 1 } , \\cdots , x _ { n } ]$ , text spans $\\{ \\pmb { s } _ { 1 } , \\cdots , \\pmb { s } _ { m } \\}$ are sampled from it, each of which $s _ { i }$ denotes a span of consecutive tokens $[ s _ { i , 1 } , \\cdots , s _ { i , l _ { i } } ]$ and is replaced (i.e., corrupted) with a single mask token to form $\\pmb { x } _ { \\mathrm { c o r r u p t } }$ . The model is asked to recover them autoregressively. To allow interactions between corrupted spans, their visibility to each other is decided by a randomly sampled permutation on their order. ",
        "bbox": [
            174,
            496,
            825,
            579
        ],
        "page_idx": 2
    },
    {
        "type": "text",
        "text": "GLM’s bidirectional attention over unmasked (i.e., uncorrupted) contexts distinguishes GLM-130B from GPT-style LLMs in which the unidirectional attention is used. To support both understanding and generation, it mixes two corruption objectives, each indicated by a special mask token: ",
        "bbox": [
            174,
            585,
            825,
            628
        ],
        "page_idx": 2
    },
    {
        "type": "text",
        "text": "• [MASK]: short blanks in sentences whose lengths add up to a certain portion of the input.   \n• [gMASK]: random-length long blanks at the end of sentences with prefix contexts provided. ",
        "bbox": [
            174,
            635,
            787,
            666
        ],
        "page_idx": 2
    },
    {
        "type": "text",
        "text": "Conceptually, the blank infilling objective with bidirectional attention enables a more effective comprehension of contexts than GPT-style models: when using [MASK], GLM-130B behaves as BERT (Devlin et al., 2019) and T5 (Raffel et al., 2020); when using [gMASK], GLM-130B behaves similarly to PrefixLM (Liu et al., 2018; Dong et al., 2019). ",
        "bbox": [
            173,
            672,
            529,
            770
        ],
        "page_idx": 2
    },
    {
        "type": "text",
        "text": "Empirically, GLM-130B offers a record-high accuracy of $8 0 . 2 \\%$ on zero-shot LAMBADA by outperforming both GPT-3 and PaLM 540B in Figure 2. By setting the attention mask, GLM-130B’s unidirectional variant is comparable to GPT-3 and OPT-175B. Our observations are in line with existing findings (Liu et al., 2018; Dong et al., 2019). ",
        "bbox": [
            174,
            777,
            529,
            875
        ],
        "page_idx": 2
    },
    {
        "type": "image",
        "img_path": "images/7eb937e7444a2dd34a6d4bbc01d4c86e84868280929c015f75e20936f987488c.jpg",
        "image_caption": [
            "Figure 2: GLM-130B and LLMs of similar scale on zero-shot LAMBADA language modeling. Details on GLM’s bidirectional attention are provided in Du et al. (2022). "
        ],
        "image_footnote": [],
        "bbox": [
            545,
            670,
            818,
            815
        ],
        "page_idx": 2
    },
    {
        "type": "text",
        "text": "Layer Normalization (LN, Ba et al. (2016)). Training instability is one major challenge for training LLMs (Zhang et al., 2022; Scao et al., 2022; Chowdhery et al., 2022) (Cf. Figure 10 in Appendix for collapses in training several 100B-scale models). A proper choice of LNs can help stabilize the training of LLMs. We experiment with existing practices, e.g., Pre-LN (Xiong et al., 2020), Post-LN (Ba et al., 2016), Sandwich-LN (Ding et al., 2021), which are unfortunately incapable of stabilizing our GLM-130B test runs (Cf. Figure 3 (a) and Appendix B.2 for details). ",
        "bbox": [
            174,
            882,
            823,
            924
        ],
        "page_idx": 2
    },
    {
        "type": "text",
        "text": "",
        "bbox": [
            176,
            103,
            823,
            146
        ],
        "page_idx": 3
    },
    {
        "type": "text",
        "text": "Our search is later focused on Post-LN due to its favorable downstream results in preliminary experiments though it does not stabilize GLM-130B. Fortunately, one of the attempts on Post-LN initialized with the newly-proposed DeepNorm (Wang et al., 2022b) generates promising training stability. Specifically, given the number of GLM-130B’s layers $N$ , we adopt $\\mathrm { D e e p N o r m } ( { \\pmb x } ) \\ =$ LayerNorm $1 ( { \\boldsymbol { \\alpha } } \\cdot { \\boldsymbol { \\mathbf { \\mathit { x } } } } + \\operatorname { N e t w o r k } ( { \\boldsymbol { \\mathbf { \\mathit { x } } } } ) )$ , where $\\alpha = ( 2 N ) ^ { \\frac { 1 } { 2 } }$ , and apply the Xavier normal initialization with the scaling factor of $( 2 N ) ^ { - { \\frac { 1 } { 2 } } }$ to ffn, $\\mathtt { v \\_ p r o j }$ and out_proj. Additionally, all bias terms are initialized to zero. Figure 3 shows it significantly benefits the training stability of GLM-130B. ",
        "bbox": [
            173,
            152,
            825,
            256
        ],
        "page_idx": 3
    },
    {
        "type": "text",
        "text": "Positional Encoding and FFNs. We empirically test different options for positional encoding (PE) and FFN improvements in terms of both training stability and downstream performance (Cf. Appendix B.3 for details). For PEs in GLM-130B, we adopt Rotary Positional Encoding (RoPE, Su et al. (2021)) rather than ALiBi (Press et al., 2021). To improve FFNs in Transformer, we pick GLU with the GeLU (Hendrycks & Gimpel, 2016) activation as the replacement. ",
        "bbox": [
            174,
            262,
            825,
            332
        ],
        "page_idx": 3
    },
    {
        "type": "text",
        "text": "2.2 GLM-130B’S PRE-TRAINING SETUP ",
        "text_level": 1,
        "bbox": [
            176,
            343,
            472,
            357
        ],
        "page_idx": 3
    },
    {
        "type": "text",
        "text": "Inspired by recent works (Aribandi et al., 2022; Wei et al., 2022a; Sanh et al., 2022), the GLM-130B pre-training objective includes not only the self-supervised GLM autoregressive blank infilling) but also multi-task learning for a small portion of tokens. This is expected to help boost its downstream zero-shot performance. ",
        "bbox": [
            176,
            362,
            825,
            417
        ],
        "page_idx": 3
    },
    {
        "type": "text",
        "text": "Self-Supervised Blank Infilling $9 5 \\%$ tokens). Recall that GLM-130B uses both [MASK] and [gMASK] for this task. Each training sequence is applied with one of them independently at a time. Specifically, [MASK] is used to mask consecutive spans in $30 \\%$ of training sequences for blank infilling. The lengths of spans follow a Poisson distribution $\\lambda = 3$ ) and add up to $15 \\%$ of the input. For the other $70 \\%$ sequences, the prefix of each sequence is kept as context and [gMASK] is used to mask the rest of it. The masked length is sampled from the Uniform distribution. ",
        "bbox": [
            174,
            424,
            825,
            508
        ],
        "page_idx": 3
    },
    {
        "type": "text",
        "text": "The pre-training data includes 1.2T Pile (train split) (Gao et al., 2020) English, 1.0T Chinese WudaoCorpora (Yuan et al., 2021), and 250G Chinese corpora (including online forums, encyclopedia, and QA) we crawl from the web, which form a balanced composition of English and Chinese contents. ",
        "bbox": [
            176,
            516,
            821,
            558
        ],
        "page_idx": 3
    },
    {
        "type": "text",
        "text": "Multi-Task Instruction Pre-Training (MIP, $5 \\%$ tokens). T5 (Raffel et al., 2020) and ExT5 (Aribandi et al., 2022) suggest that multi-task learning in pre-training can be more helpful than fine-tuning, we thus propose to include a variety of instruction prompted datasets including language understanding, generation, and information extraction in GLM-130B’s pre-training. ",
        "bbox": [
            174,
            564,
            823,
            621
        ],
        "page_idx": 3
    },
    {
        "type": "text",
        "text": "Compared to recent works (Wei et al., 2022a; Sanh et al., 2022) that leverage multi-task prompted fine-tuning to improve zero-shot task transfer, MIP only accounts for $5 \\%$ tokens and is set in the pretraining stage to prevent spoiling LLMs’ other general ability, e.g., unconditional free generation. Specifically, we include 74 prompted datasets from (Sanh et al., 2022; Wang et al., 2022a), listed in Appendix C and Table 12. GLM-130B users are suggested to avoid evaluating its zero-shot and few-shot capabilities on these datasets according to the criterion illustrated in Section 5. ",
        "bbox": [
            174,
            627,
            825,
            712
        ],
        "page_idx": 3
    },
    {
        "type": "text",
        "text": "2.3 PLATFORM-AWARE PARALLEL STRATEGIES AND MODEL CONFIGURATIONS ",
        "text_level": 1,
        "bbox": [
            178,
            729,
            738,
            744
        ],
        "page_idx": 3
    },
    {
        "type": "text",
        "text": "GLM-130B is trained on a cluster of 96 DGX-A100 GPU $( 8 \\times 4 0 \\mathrm { G } )$ ) servers with a 60-day access. The goal is to pass through as many tokens as possible, as a recent study (Hoffmann et al., 2022) suggests that most existing LLMs are largely under-trained. ",
        "bbox": [
            174,
            756,
            823,
            797
        ],
        "page_idx": 3
    },
    {
        "type": "text",
        "text": "The 3D Parallel Strategy. The data parallelism (Valiant, 1990) and tensor model parallelism (Shoeybi et al., 2019) are the de facto practices for training billion-scale models (Wang & Komatsuzaki, 2021; Du et al., 2022). To further handle the huge GPU memory requirement and the decrease in overall GPU utilization resulted from applying tensor parallel between nodes—as 40G rather than 80G A100s are used for training GLM-130B, we combine the pipeline model parallelism with the other two strategies to form a 3D parallel strategy. ",
        "bbox": [
            174,
            805,
            823,
            888
        ],
        "page_idx": 3
    },
    {
        "type": "text",
        "text": "The pipeline parallelism divides the model into sequential stages for each parallel group, and to further minimize bubbles introduced by pipeline, we leverage the PipeDream-Flush (Narayanan et al., ",
        "bbox": [
            173,
            895,
            821,
            924
        ],
        "page_idx": 3
    },
    {
        "type": "text",
        "text": "2021) implementation from DeepSpeed (Rasley et al., 2020) to train GLM-130B with a relative big global batch size (4,224) to reduce time and GPU memory wasting. Through both numerical and empirical examinations, we adopt 4-way tensor parallelism and 8-way pipeline parallelism (Cf. Appendix B.4 for details). Following the calculation in (Chowdhery et al., 2022), we report hardware FLOPs utilization (HFU) of $4 3 . 3 \\%$ and model FLOPs utilization (MFU) of $3 2 . 5 \\%$ due to re-materialization. ",
        "bbox": [
            174,
            103,
            825,
            186
        ],
        "page_idx": 4
    },
    {
        "type": "text",
        "text": "GLM-130B Configurations. We aim to enable our 100B-scale LLM to run a single DGX-A100 (40G) node in FP16 precision. Based on the hidden state dimension of 12,288 we adopt from GPT-3, the resultant model size has to be no more than 130B parameters, thus GLM-130B. To maximize GPU utilization, we configure the model based on the platform and its corresponding parallel strategy. To avoid insufficient memory utilization in the middle stages due to the additional word embedding at both ends, we balance the pipeline partition by removing one layer from them, making $9 \\times 8 - 2 = 7 0$ transformer layers in GLM-130B. ",
        "bbox": [
            174,
            194,
            825,
            291
        ],
        "page_idx": 4
    },
    {
        "type": "text",
        "text": "During the 60-day access to the cluster, we manage to train GLM-130B for 400 billion tokens (roughly 200 billion each for Chinese and English) with a fixed sequence length of 2,048 per sample. For the $[ \\mathrm { g } \\mathbf { M } \\mathbf { A } \\mathbf { S } \\mathbf { K } ]$ training objective, we use a context window of 2,048 tokens. For the [MASK] and multi-task objectives, we use a context window of 512 and concatenate four samples together to cater the 2,048-sequence-length. We warm-up the batch size from 192 to 4224 over the first $2 . 5 \\%$ samples. We use AdamW (Loshchilov & Hutter, 2019) as our optimizer with $\\beta _ { 1 }$ and $\\beta _ { 2 }$ set to 0.9 and 0.95, and a weight decay value of 0.1. We warm up the learning rate from $1 0 ^ { - 7 }$ to $8 \\times 1 0 ^ { - 5 }$ over the first $0 . 5 \\%$ samples, then decay it by a $1 0 \\times$ cosine schedule. We use a dropout rate of 0.1 and clip gradients using a clipping value of 1.0 (Cf. Table 11 for the full configurations). ",
        "bbox": [
            174,
            299,
            825,
            424
        ],
        "page_idx": 4
    },
    {
        "type": "text",
        "text": "3 THE TRAINING STABILITY OF GLM-130B ",
        "text_level": 1,
        "bbox": [
            174,
            449,
            558,
            467
        ],
        "page_idx": 4
    },
    {
        "type": "text",
        "text": "The training stability is the decisive factor in GLM-130B’s quality, which is also largely impacted by the number of tokens it passes through (Hoffmann et al., 2022). Thus, given the computing usage constraint, there has to be a trade-off between efficiency and stability with regard to floatingpoint (FP) formats: low-precision FP formats (e.g., 16-bit precision—FP16) improve computing efficiency but are prone to overflow and underflow errors, resulting in training collapses. ",
        "bbox": [
            173,
            484,
            823,
            555
        ],
        "page_idx": 4
    },
    {
        "type": "text",
        "text": "Mixed-Precision. We follow the common practice of a mixedprecision (Micikevicius et al., 2018) strategy (Apex O2), i.e., FP16 for forwards and backwards and FP32 for optimizer states and master weights, to reduce the GPU memory usage and improve training efficiency. Similar to OPT-175B and BLOOM-176B (C.f. Figure 10 in Appendix), the training of GLM-130B faces frequent loss spikes resulted from this choice, which tends to become increasingly frequent as the training goes on. The precision related spikes are often without clear reasons: some recover on their own; others come with a portent of suddenly soaring gradient norm and eventually a spike or even NaN in loss. OPT-175B attempted to fix by manually skipping data and adjusting hyper-parameters; BLOOM176B did so via the embedding norm technique (Dettmers et al., 2021). We spent months to empirically investigate the spikes and realize that a few issues emerge when transformers scale up: ",
        "bbox": [
            174,
            563,
            607,
            770
        ],
        "page_idx": 4
    },
    {
        "type": "text",
        "text": "First, the transformer main branch’s value scale can be extremely large in deeper layers if using Pre-LN. This is addressed in GLM130B by using DeepNorm based Post-LN (Cf. Section 2.1), which makes the value scale always bounded. ",
        "bbox": [
            174,
            777,
            606,
            833
        ],
        "page_idx": 4
    },
    {
        "type": "image",
        "img_path": "images/5cda27883bad1a7034d0f6a575925c4b8eaee9a568db8bdcd271b739eb52bd32.jpg",
        "image_caption": [
            "Figure 4: EGS reduces gradient scale and variance to stabilize LLMs’ pre-training. "
        ],
        "image_footnote": [],
        "bbox": [
            620,
            566,
            821,
            800
        ],
        "page_idx": 4
    },
    {
        "type": "text",
        "text": "Second, the attention scores grow so large that they exceed FP16’s range, as the model scales up. There are a few options to overcome this issue in LLMs. In CogView (Ding et al., 2021), PB-Relax is proposed to remove bias terms and deduct extremum value in attention computation to avoid the problem, which unfortunately does not help avoid disconvergence in GLM-130B. In BLOOM-176B, the BF16 format is used instead of FP16, due to its wide range of values on NVIDIA Ampere GPUs (i.e., A100). However, BF16 consumes ${ \\sim } 1 5 \\%$ more run-time GPU memory than FP16 in our experiments due to its conversion to FP32 in gradient accumulation, and more importantly it is not supported on other GPU platforms (e.g., NVIDIA Tesla V100), limiting the accessibility of produced LLMs. Another option from BLOOM-176B is to apply embedding norm with BF16, but in sacrifice of a significant penalty on model performance, as they notice that embedding norm can harm model’s zero-shot learning (Cf. Section 4.3 in (Scao et al., 2022)). ",
        "bbox": [
            176,
            840,
            607,
            854
        ],
        "page_idx": 4
    },
    {
        "type": "text",
        "text": "",
        "bbox": [
            174,
            853,
            823,
            924
        ],
        "page_idx": 4
    },
    {
        "type": "text",
        "text": "",
        "bbox": [
            174,
            103,
            825,
            188
        ],
        "page_idx": 5
    },
    {
        "type": "text",
        "text": "Embedding Layer Gradient Shrink (EGS). Our empirical search identifies that the gradient norm can serve as an informative indicator of training collapses. Specifically, we find that a training collapse usually lags behind a “spike” in gradient norm by a few training steps. Such spikes are usually caused by the embedding layer’s abnormal gradients, as we observe that its gradient norm is often several magnitude larger that those of other layers in GLM-130B’s early stage training (Cf. Figure 4 (a)). In addition, it tends to fluctuate dramatically in the early training. The problem is handled in vision models (Chen et al., 2021) via freezing the patch projection layer. Unfortunately, we cannot freeze the training of the embedding layer in language models. ",
        "bbox": [
            173,
            194,
            825,
            306
        ],
        "page_idx": 5
    },
    {
        "type": "text",
        "text": "Finally, we find the gradient shrink on embedding layers could overcome loss spikes and thus stabilize GLM-130B’s training. It is first used in the multi-modal transformer CogView (Ding et al., 2021). Let $\\alpha$ be the shrinking factor, the strategy can be easily implemented via word_embedding $=$ word_embedding $\\ast \\alpha +$ word_embedding.detach( $) * ( 1 - \\alpha )$ . Figure 4 (b) suggests that empirically, setting $\\alpha = 0 . 1$ wipes out most spikes we would have met, with negligible latency. ",
        "bbox": [
            174,
            313,
            823,
            382
        ],
        "page_idx": 5
    },
    {
        "type": "text",
        "text": "In fact, the final GLM-130B training run only experiences three late-stage loss divergence cases, though it fails numerous times due to hardware failures. For the three unexpected spikes, it turns out further shrinking the embedding gradient can still help stabilize the GLM-130B training. See the training notes and Tensorboard logs in our code repository for details. ",
        "bbox": [
            174,
            388,
            825,
            445
        ],
        "page_idx": 5
    },
    {
        "type": "text",
        "text": "4 GLM-130B INFERENCE ON RTX 2080 TI ",
        "text_level": 1,
        "bbox": [
            174,
            474,
            553,
            492
        ],
        "page_idx": 5
    },
    {
        "type": "text",
        "text": "One of the major goals of GLM-130B is to lower the hardware requirements for accessing 100Bscale LLMs without efficiency and effectiveness disadvantages. ",
        "bbox": [
            176,
            512,
            821,
            541
        ],
        "page_idx": 5
    },
    {
        "type": "text",
        "text": "As mentioned, the model size of 130B is determined for running the full GLM-130B model on a single A100 $( 4 0 \\mathrm { G } \\times 8 $ ) server, rather than the high-end A100 $( 8 0 0 \\times 8 )$ ) machine required by OPT-175B and BLOOM-176B. To accelerate GLM-130B inference, we also leverage FasterTransformer (Timonin et al., 2022) to implement GLM-130B in $\\mathrm { C } { + } { + }$ . Compared to the PyTorch implementation of BLOOM-176B in Huggingface, GLM-130B’s decoding inference is $7 . 8 . 4 \\times$ faster on the same single A100 server. (Cf. Appendix B.5 for details). ",
        "bbox": [
            174,
            547,
            823,
            632
        ],
        "page_idx": 5
    },
    {
        "type": "text",
        "text": "INT4 Quantization for RTX $\\mathbf { 3 0 9 0 s } / 2 0 8 0 \\mathbf { s }$ . To further support popularized GPUs, we attempt to compress GLM-130B as much as possible while maintaining performance superiority, particularly via quantization (Zafrir et al., 2019; Shen et al., 2020; Tao et al., 2022), which introduces little task-agnostic performance drops for generative language models. ",
        "bbox": [
            174,
            638,
            823,
            695
        ],
        "page_idx": 5
    },
    {
        "type": "text",
        "text": "Typically, the practice is to quantize both model weights and activations to INT8. However, our analysis in Appendix B.6 suggests that LLMs’ activations may contain extreme outliers. Concurrently, the emergent outliers in OPT-175B and BLOOM-176B are also discovered (Dettmers et al., 2022), which influence only about $0 . 1 \\%$ feature dimensions and are thus solved by matrix multiplication decomposition for the outlying dimensions. Differently, there exist about $30 \\%$ outliers in GLM-130B’s activations, making the technique above far less efficient. Thus, we decide to focus on the quantization of model weights (i.e., mostly linear layers) while keeping the FP16 precision for activations. The quantized model is dynamically converted to FP16 precision at runtime, introducing a small computational overhead but greatly reducing the GPU memory usage for storing model weights. ",
        "bbox": [
            174,
            702,
            529,
            881
        ],
        "page_idx": 5
    },
    {
        "type": "image",
        "img_path": "images/51756d8e0cdfc8c8e5024bda110de214d1edbe16683f435f4b5879c6e57dba31.jpg",
        "image_caption": [
            "Figure 5: (Left) attn-dense and w2’s weight distributions; (Right) GLM-130B’s INT4 weight quantization scaling law. "
        ],
        "image_footnote": [],
        "bbox": [
            545,
            699,
            820,
            830
        ],
        "page_idx": 5
    },
    {
        "type": "text",
        "text": "",
        "bbox": [
            176,
            882,
            823,
            924
        ],
        "page_idx": 5
    },
    {
        "type": "table",
        "img_path": "images/8834ad1ebf074045e06df7130c86c900bbb12336986d30c5eac182041f4e0735.jpg",
        "table_caption": [
            "Table 2: Left: Quantized GLM-130B’s performance on several benchmarks; Right: INT4 quantized GLM-130B’s inference speed (encode and decode) with FasterTransformer. "
        ],
        "table_footnote": [],
        "table_body": "<table><tr><td rowspan=\"3\">Model Precision</td><td colspan=\"3\">GLM-130B</td><td>GPT-3</td><td>GPU Type</td><td colspan=\"4\">128 Enc./Dec.512 Enc./Dec,</td></tr><tr><td>FP16</td><td>INT8</td><td>INT4</td><td>FP16</td><td>8× A100 (40G)</td><td>0.15s</td><td>4.29s</td><td>0.18s</td><td>17.7s</td></tr><tr><td>MMLU (acc, ↑)</td><td>44.75</td><td>44.71</td><td>44.80</td><td>43.9</td><td>8 × V100 (32G)</td><td>0.31s</td><td>6.97s</td><td>0.67s</td><td>28.1s</td></tr><tr><td>LAMBADA (acc, ↑)</td><td>80.21</td><td>80.21</td><td>79.47</td><td>76.2</td><td>4 × RTX 3090 (24G)</td><td>0.37s</td><td>8.16s</td><td>1.30s</td><td>32.3s</td></tr><tr><td>Pile (a part,BPB,↓)</td><td>0.634</td><td>0.638</td><td>0.641</td><td>0.74</td><td>8 × RTX 2080 Ti(11G) 0.39s</td><td></td><td>6.77s</td><td>1.04s</td><td>27.3s</td></tr></table>",
        "bbox": [
            173,
            133,
            820,
            212
        ],
        "page_idx": 6
    },
    {
        "type": "text",
        "text": "Excitingly, we manage to reach the INT4 weight quantization for GLM-130B while existing successes have thus far only come to the INT8. Memory-wise, by comparing to INT8, the INT4 version helps additionally save half of the required GPU memory to 70GB, thus allowing GLM-130B inference on $4 \\times \\mathrm { R T X } 3 0 9 0 \\mathrm { T i } \\left( 2 4 \\mathrm { G } \\right)$ or 8 × RTX 2080 Ti (11G). Performance-wise, Table 2 left indicates that without post-training at all, the INT4-version GLM-130B experiences almost no performance degradation, thus maintaining the performance advantages over GPT-3 on common benchmarks. ",
        "bbox": [
            173,
            222,
            825,
            306
        ],
        "page_idx": 6
    },
    {
        "type": "text",
        "text": "GLM’s INT4 Weight Quantization Scaling Law. We examine the underlying mechanism of this unique INT4 weight quantization scaling law exhibited in Figure 5 right. We plot the weight value distributions in Figure 5 left, which turns out to directly impact the quantization quality. Specifically, a wider-distributed linear layer needs to be quantized with larger bins, leading to more precision loss. Thus the wide-distributed attn-dense and $\\mathtt { w } 2$ matrices explain the INT4 quantization failure for GPT-style BLOOM. Conversely, GLMs tend to have much narrower distributions than those of similar-sized GPTs, and the gap between INT4 and FP16 versions keeps further decreasing as the GLM model size scales up (Cf. Figure 15 in Appendix for details). ",
        "bbox": [
            173,
            313,
            825,
            425
        ],
        "page_idx": 6
    },
    {
        "type": "text",
        "text": "5 THE RESULTS ",
        "text_level": 1,
        "bbox": [
            176,
            444,
            323,
            460
        ],
        "page_idx": 6
    },
    {
        "type": "text",
        "text": "We follow the common settings in LLMs such as GPT-3 and PaLM to evaluate GLM-130B for English 1. As a bilingual LLM with Chinese, GLM-130B is also evaluated on Chinese benchmarks. ",
        "bbox": [
            174,
            476,
            823,
            505
        ],
        "page_idx": 6
    },
    {
        "type": "text",
        "text": "Discussion on the Scope of Zero-Shot Learning in GLM-130B. Since GLM-130B has been trained with MIP, here we clarify its scope of zero-shot evaluation. In fact, “zero-shot” seems to have controversial interpretations without a consensus in the community. We follow one of the influential related surveys (Xian et al., 2018), which says “At test time, in zero-shot learning setting, the aim is to assign a test image to an unseen class label” where involving unseen class labels is a key. Therefore, we derive our criterion to pick GLM-130B’s zero-shot (and few-shot) datasets as: ",
        "bbox": [
            174,
            511,
            825,
            594
        ],
        "page_idx": 6
    },
    {
        "type": "text",
        "text": "• English: 1) For tasks with fixed labels (e.g., natural language inference): no datasets in such tasks should be evaluated on; 2) For tasks without fixed labels (e.g., (multiple-choice) $Q A$ , topic classification): only datasets with an obvious domain transfer from those in MIP should be considered. • Chinese: All datasets can be evaluated as there exists a zero-shot cross-lingual transfer. ",
        "bbox": [
            174,
            602,
            823,
            660
        ],
        "page_idx": 6
    },
    {
        "type": "text",
        "text": "Filtering Test Datasets. Following prior practices (Brown et al., 2020; Rae et al., 2021) and our criterion mentioned above, we filter and refrain to report potentially contaminated datasets’ evaluation results. For LAMBADA and CLUE, we find minimal overlap under the 13-gram setting. Pile, MMLU, and BIG-bench are either held-out or released later than the crawling of corpora. ",
        "bbox": [
            173,
            667,
            825,
            723
        ],
        "page_idx": 6
    },
    {
        "type": "text",
        "text": "5.1 LANGUAGE MODELING ",
        "text_level": 1,
        "bbox": [
            176,
            739,
            379,
            755
        ],
        "page_idx": 6
    },
    {
        "type": "text",
        "text": "LAMBADA. LAMBADA (Paperno et al., 2016) is a dataset to test the last word language modeling capability. The results previously shown in Figure 2 suggest GLM-130B achieves a zero-shot accuracy of 80.2 with its bidirectional attention, setting up a new record on LAMBADA. ",
        "bbox": [
            173,
            766,
            823,
            809
        ],
        "page_idx": 6
    },
    {
        "type": "text",
        "text": "Pile. The Pile test-set (Gao et al., 2020) includes a series of benchmarks for language modeling. On average, GLM130B performs the best on its 18 shared test sets in terms of weighted BPB when compared to GPT-3 and Jurassic1 (Lieber et al., 2021) whose results are directly adopted ",
        "bbox": [
            174,
            815,
            553,
            898
        ],
        "page_idx": 6
    },
    {
        "type": "table",
        "img_path": "images/6437c700ba4036b38b14e83f6b96d2fe5938067ad83a3447f0f0c3cf8cab28fe.jpg",
        "table_caption": [
            "Table 3: GLM-130B’s average BPB on Pile evaluation (18 sub-datasets). "
        ],
        "table_footnote": [],
        "table_body": "<table><tr><td colspan=\"3\">Jurassic-1 GPT-3 GLM-130B</td></tr><tr><td>Avg. BPB</td><td>0.650 0.742</td><td>0.634</td></tr></table>",
        "bbox": [
            570,
            840,
            815,
            882
        ],
        "page_idx": 6
    },
    {
        "type": "table",
        "img_path": "images/f6af3e3328a015002125f16e6ee9f536b782597efba077c914ae6e70d0aa3a2d.jpg",
        "table_caption": [],
        "table_footnote": [],
        "table_body": "<table><tr><td colspan=\"2\">O-shot 1-shot 3-shot</td></tr><tr><td>GPT-3 2.6B 0.60</td><td>0.71 1.83</td></tr><tr><td>GPT-3 6.7B -0.06</td><td>2.93 5.40</td></tr><tr><td>GPT-3 13B 1.77</td><td>5.43 7.95</td></tr><tr><td>GPT-3 175B 4.35</td><td>11.34 13.18</td></tr><tr><td>PaLM540B 8.05</td><td>37.77 -</td></tr><tr><td>GLM-130B 13.31</td><td>14.91 15.12</td></tr></table>",
        "bbox": [
            637,
            101,
            818,
            223
        ],
        "page_idx": 7
    },
    {
        "type": "image",
        "img_path": "images/bc768f0500dbcbce18ed7d112cb5264715b388e301cc64dbb2e37b835ba3e30d.jpg",
        "image_caption": [
            "Figure 6: GLM-130B on MMLU (57 tasks) along training steps. "
        ],
        "image_footnote": [],
        "bbox": [
            171,
            101,
            388,
            232
        ],
        "page_idx": 7
    },
    {
        "type": "image",
        "img_path": "images/4e9e6dbb3574da88d111b6e7da6c681aed8234ee747f2191e2f3ec553ffce069.jpg",
        "image_caption": [
            "Figure 7: BIG-bench-lite evalua- Table 4: Details on BIGtion (24 tasks) across scales. bench-lite (24 tasks). "
        ],
        "image_footnote": [],
        "bbox": [
            411,
            101,
            629,
            231
        ],
        "page_idx": 7
    },
    {
        "type": "text",
        "text": "5.2 MASSIVE MULTITASK LANGUAGE UNDERSTANDING (MMLU) ",
        "text_level": 1,
        "bbox": [
            176,
            277,
            648,
            291
        ],
        "page_idx": 7
    },
    {
        "type": "text",
        "text": "MMLU (Hendrycks et al., 2021) is a diverse benchmark including 57 multi-choice question answering tasks concerning human knowledge ranging from high-school-level to expert-level. It is released after the crawling of Pile and serves as an ideal test-bed for LLMs’ few-shot learning. The GPT-3 result is adopted from MMLU and BLOOM-176B is tested by using the same prompts as GLM-130B’s (Cf. Appendix C.6 and Table 15 for details). ",
        "bbox": [
            174,
            304,
            823,
            375
        ],
        "page_idx": 7
    },
    {
        "type": "text",
        "text": "GLM-130B’s few-shot (5-shot) performance on MMLU approaches GPT-3 (43.9) after viewing about 300B tokens in Figure 6. It continues moving up as the training proceeds, achieving an accuracy of 44.8 when the training has to end (i.e., viewing 400B tokens in total). This aligns with the observation (Hoffmann et al., 2022) that most existing LLMs are far from adequately trained. ",
        "bbox": [
            174,
            381,
            823,
            436
        ],
        "page_idx": 7
    },
    {
        "type": "text",
        "text": "5.3 BEYOND THE IMITATION GAME BENCHMARK (BIG-BENCH) ",
        "text_level": 1,
        "bbox": [
            174,
            454,
            632,
            469
        ],
        "page_idx": 7
    },
    {
        "type": "text",
        "text": "BIG-bench (Srivastava et al., 2022) benchmarks challenging tasks concerning models’ ability on reasoning, knowledge, and commonsense. Given evaluating on its 150 tasks is time-consuming for LLMs, we report the BIG-bench-lite—an official 24-task sub-collection—for now. Observed from Figure 7 and Table 4, GLM-130B outperforms GPT-3 175B and even PaLM 540B $4 \\times$ larger) in zero-shot setting. This is probably owing to GLM-130B’s bidirectional context attention and MIP, which has been proved to improve zero-shot results in unseen tasks (Wei et al., 2022a; Sanh et al., 2022). As the number of shots increases, GLM-130B’s performance keeps going up, maintaining its outperformance over GPT-3 (Cf. Appendix C.5 and Table 14 for details on each model and task). ",
        "bbox": [
            173,
            481,
            825,
            593
        ],
        "page_idx": 7
    },
    {
        "type": "text",
        "text": "Limitations and Discussions. In the experiments above, we observe that GLM-130B’s performance growth (13.31 to 15.12) with the increase of few-shot samples is not as significant as GPT-3’s (4.35 to 13.18). Here is our intuitive attempt to understand the phenomenon. ",
        "bbox": [
            174,
            599,
            825,
            641
        ],
        "page_idx": 7
    },
    {
        "type": "text",
        "text": "First, the bidirectional nature of GLM-130B could lead to strong zero-shot performance (as is indicated in zero-shot language modeling), thus getting closer to the few-shot “upper-bound” for models of similar scale (i.e., 100B-scale) than unidirectional LLMs. Second, it may be also attributed to a deficit of existing MIP paradigms (Wei et al., 2022a; Sanh et al., 2022), which only involve zero-shot prediction in the training and will be likely to bias GLM-130B for stronger zero-shot learning but relatively weaker in-context few-shot performance. To correct the bias, a potential solution we came up with would be to employ MIP with varied shots of in-context samples rather than only zero-shot samples. ",
        "bbox": [
            174,
            648,
            825,
            760
        ],
        "page_idx": 7
    },
    {
        "type": "text",
        "text": "Finally, despite almost the same GPT architecture as GPT-3, PaLM 540B’s relative growth with fewshot in-context learning is substantially more significant than GPT-3’s. We conjecture this further acceleration in performance growth is a source of PaLM’s high-quality and diverse private-collected training corpora. By combining our experiences with (Hoffmann et al., 2022)’s insights, we came to realize that better architectures, better data, and more training FLOPS should be further invested. ",
        "bbox": [
            174,
            767,
            825,
            837
        ],
        "page_idx": 7
    },
    {
        "type": "text",
        "text": "5.4 CHINESE LANGUAGE UNDERSTANDING EVALUATION (CLUE) ",
        "text_level": 1,
        "bbox": [
            174,
            854,
            647,
            869
        ],
        "page_idx": 7
    },
    {
        "type": "text",
        "text": "We evaluate GLM-130B’s Chinese zero-shot performance on established Chinese NLP benchmarks, CLUE (Xu et al., 2020) and FewCLUE ( $\\mathrm { \\Delta X u }$ et al., 2021).Note that we do not include any Chinese downstream tasks in MIP. To date, we have finished testing on part of the two benchmarks, including ",
        "bbox": [
            176,
            882,
            825,
            924
        ],
        "page_idx": 7
    },
    {
        "type": "image",
        "img_path": "images/cf741e7d068482c8c779765e1751682f1682af62a7dee0e1d2c918bcee48744a.jpg",
        "image_caption": [
            "Figure 8: GLM-130B and ERNIE Titan 3.0 260B evaluated on zero-shot CLUE and FewCLUE. "
        ],
        "image_footnote": [],
        "bbox": [
            173,
            98,
            820,
            174
        ],
        "page_idx": 8
    },
    {
        "type": "text",
        "text": "7 CLUE and 5 FewCLUE datasets (Cf. Appendix C.7 for details). We compare GLM-130B to the largest existing Chinese monolingual language model—the 260B ERNIE Titan 3.0 (Wang et al., 2021). We follow its setting to report zero-shot results on dev datasets. GLM-130B consistently outperforms ERNIE Titan 3.0 across 12 tasks (Cf. Figure 8). Interestingly, GLM-130B performs at least $260 \\%$ better than ERNIE on two abstractive MRC datasets (DRCD and CMRC2018), possibly due to GLM-130B’s pre-training objective that naturally resonates to abstractive MRC’s form. ",
        "bbox": [
            173,
            212,
            825,
            296
        ],
        "page_idx": 8
    },
    {
        "type": "text",
        "text": "6 RELATED WORK ",
        "text_level": 1,
        "bbox": [
            176,
            325,
            343,
            342
        ],
        "page_idx": 8
    },
    {
        "type": "text",
        "text": "In this section, we review related work to GLM-130B on topics of pre-training, transferring, and inference of pre-trained LLMs (Qiu et al., 2020; Bommasani et al., 2021). ",
        "bbox": [
            174,
            363,
            823,
            391
        ],
        "page_idx": 8
    },
    {
        "type": "text",
        "text": "Pre-Training. Vanilla language modeling refers to decoder-only autoregressive models (e.g., GPT (Radford et al., 2018)), but it also recognizes any forms of self-supervised objectives on texts. Recently, transformer-based (Vaswani et al., 2017) language models present a fascinating scaling law: new abilities (Wei et al., 2022b) arise as models scale up, from 1.5B (Radford et al., 2019), 10B-scale language models (Raffel et al., 2020; Shoeybi et al., 2019; Black et al., 2022), to 100Bscale GPT-3 (Brown et al., 2020). Later, despite many 100B-scale LLMs (Lieber et al., 2021; Thoppilan et al., 2022; Rae et al., 2021; Smith et al., 2022; Chowdhery et al., 2022; Wu et al., 2021; Zeng et al., 2021; Wang et al., 2021) in both English and Chinese, they are not available to public or only accessible via limited APIs. The closeness of LLMs severely stymies its development. GLM-130B’s efforts, along with recent ElutherAI, OPT-175B (Zhang et al., 2022), and BLOOM-176B (Scao et al., 2022), aim to offer high-quality open-sourced LLMs to our community. ",
        "bbox": [
            174,
            397,
            825,
            551
        ],
        "page_idx": 8
    },
    {
        "type": "text",
        "text": "Transferring. Though fine-tuning has been a de facto way for transfer learning, the evaluation for LLMs has been focused on prompting and in-context learning due to their tremendous sizes (Brown et al., 2020; Liu et al., 2021a). Nevertheless, some recent attempts has been on parameter-efficient learning on language models (Houlsby et al., 2019) and prompt tuning (i.e., P-tuning, Li & Liang (2021); Liu et al. (2021b); Lester et al. (2021); Liu et al. (2022)). For now we do not focus on them and will leave the comprehensive testing of them on GLM-130B in future study. ",
        "bbox": [
            174,
            558,
            825,
            642
        ],
        "page_idx": 8
    },
    {
        "type": "text",
        "text": "Inference. Most public-accessible LLMs nowadays are providing their services via limited APIs.In this work, an important part of our endeavor has been on LLMs’ efficient and fast inference. Related work may include distillation (Sanh et al., 2019; Jiao et al., 2020; Wang et al., 2020), quantization (Zafrir et al., 2019; Shen et al., 2020; Tao et al., 2022), and pruning (Michel et al., 2019; Fan et al., 2019). Very recent work (Dettmers et al., 2022) shows that LLMs such as OPT-175B and BLOOM-176B can be quantized to 8 bit due to special distribution of outlier dimensions. In this work, we demonstrate GLM’s scaling law for INT4 weight quantization, which allows GLM-130B to inference on as few as $4 \\times$ RTX 3090 (24G) GPUs or $8 \\times$ RTX 2080 Ti (11G) GPUs. ",
        "bbox": [
            174,
            648,
            825,
            760
        ],
        "page_idx": 8
    },
    {
        "type": "text",
        "text": "7 CONCLUSION AND LESSONS ",
        "text_level": 1,
        "bbox": [
            176,
            789,
            442,
            805
        ],
        "page_idx": 8
    },
    {
        "type": "text",
        "text": "We introduce GLM-130B, a bilingual pre-trained language model that aims to facilitate open and inclusive LLM research. GLM-130B’s technical and engineering undertakings generate insight into LLMs’ architectures, pre-training objectives, training stability and efficiency, and affordable inference. Altogether, it contributes to the high quality of GLM-130B in terms of both language performance on 112 tasks and ethical results on bias and toxicity benchmarks. Our experiences of both success and failure are condensed into the lessons for training 100B-scale LLMs, attached in the Appendix B.10. ",
        "bbox": [
            174,
            825,
            823,
            922
        ],
        "page_idx": 8
    },
    {
        "type": "text",
        "text": "ACKNOWLEDGEMENT ",
        "text_level": 1,
        "bbox": [
            176,
            103,
            356,
            117
        ],
        "page_idx": 9
    },
    {
        "type": "text",
        "text": "This research was supported by Natural Science Foundation of China (NSFC) 61825602, 62276148 and Zhipu.AI. We thank all our collaborators and partners from the Knowledge Engineering Group (KEG), Parallel Architecture & Compiler technology of Mobile, Accelerated, and Networked systems Group (PACMAN), Natural Language Processing Group (THUNLP) at Tsinghua University, and Zhipu.AI. ",
        "bbox": [
            174,
            136,
            825,
            207
        ],
        "page_idx": 9
    },
    {
        "type": "text",
        "text": "ETHICS STATEMENT ",
        "text_level": 1,
        "bbox": [
            174,
            231,
            343,
            246
        ],
        "page_idx": 9
    },
    {
        "type": "text",
        "text": "We hereby acknowledge that all of the co-authors of this work are aware of the provided ICLR Code of Ethics and honor the code of conduct. This work introduces an open-source Large Language Model (LLM), which could be used to generate synthetic text for harmful applications, such as telemarketing fraud, political propaganda, and personal harassment as is discussed in (Weidinger et al., 2021; Sheng et al., 2021; Dev et al., 2021). We do not anticipate any hazardous outputs, especially towards vulnerable and historically disadvantaged groups of peoples, after using the model. ",
        "bbox": [
            174,
            265,
            825,
            348
        ],
        "page_idx": 9
    },
    {
        "type": "text",
        "text": "And to better collaborate with our community to prevent and ultimately eliminate the risks technically, we make the following crucial open efforts in this work: ",
        "bbox": [
            173,
            356,
            820,
            383
        ],
        "page_idx": 9
    },
    {
        "type": "text",
        "text": "Open-Sourced LLMs for Ethical Risk Study. While some people think that restricting the access of LLMs can prevent such harmful applications, we argue that promoting LLM inclusivity can lead to better defense against potential harms caused by LLMs. Currently, only governments and large corporations can afford the considerable costs of pre-training LLMs. There is no guarantee that organizations having the the substantial financial resources will not do harm using a LLM. Without access to such LLMs, individuals cannot even realize the role of LLMs in the harm. ",
        "bbox": [
            174,
            390,
            825,
            473
        ],
        "page_idx": 9
    },
    {
        "type": "text",
        "text": "Conversely, releasing an open LLM can provide access and transparency to all the researchers and promote the research to reduce the potential harm of LLMs, like algorithms to identify the synthetic text Gehrmann et al. (2019). Also, it is known that LLMs can suffer from problems in fairness, bias, privacy, and truthfulness Zhang et al. (2021); Lin et al. (2022); Liang et al. (2021); Bender et al. (2021). An open LLM can reveal the model parameters and internal states corresponding to specific inputs instead of providing APIs to black-box models. In conclusion, researchers can conduct analysis of LLMs’ flaws in depth and propose improved algorithms to solve the problems. ",
        "bbox": [
            174,
            481,
            825,
            579
        ],
        "page_idx": 9
    },
    {
        "type": "text",
        "text": "Ethical Evaluation and Improvements. We also evaluate our model over a wide range of English ethical evaluation benchmarks, including bias measurement (Nadeem et al., 2021; Nangia et al., 2020), hate speech detection (Mollas et al., 2020), and toxic generation estimation (Gehman et al., 2020). Notwithstanding their deficiency (Blodgett et al., 2021; Jacobs & Wallach, 2021), these datasets serve as a meaningful initial step towards an open quantitative evaluation LLMs. ",
        "bbox": [
            174,
            585,
            823,
            655
        ],
        "page_idx": 9
    },
    {
        "type": "text",
        "text": "Our evaluation implies that our algorithm designs, especially the bilingual pre-training of a LLM, can significantly mitigate the biases and toxicity an LLM may present while keeping its strong language performance compared to other LLMs (Brown et al., 2020; Zhang et al., 2022) trained with monolingual English corpora (Cf. Appendix A for more details). ",
        "bbox": [
            176,
            662,
            823,
            718
        ],
        "page_idx": 9
    },
    {
        "type": "text",
        "text": "REPRODUCIBILITY ",
        "text_level": 1,
        "bbox": [
            176,
            743,
            331,
            758
        ],
        "page_idx": 9
    },
    {
        "type": "text",
        "text": "Compared to mainstream closed-sourced LLMs including GPT-3 175B(Brown et al., 2020), PaLM 540B (Chowdhery et al., 2022), Gopher (Rae et al., 2021), Chinchilla (Hoffmann et al., 2022), LaMDA (Thoppilan et al., 2022), FLAN (Wei et al., 2022a), and many others, GLM-130B is opensourced and devotes to promote openness and inclusivity in LLM research from the very beginning. ",
        "bbox": [
            174,
            776,
            823,
            833
        ],
        "page_idx": 9
    },
    {
        "type": "text",
        "text": "We have paid great effort to ensure the reproducibility of our evaluation. For pre-training section, despite the unaffordable costs it needs to reproduce at present, we still make our best efforts to disclose the code, details, and the whole process of GLM-130B’s pre-training. Our endeavor to allow GLM-130B inference on few popularized GPUs such as 3090/2080 Ti also aligns with the reproducibility undertaking, as it allows most academic researchers to reproduce GLM-130B’s results on their offline machines. We also provide free APIs for individual users to test GLM-130B’s ability. ",
        "bbox": [
            174,
            840,
            823,
            922
        ],
        "page_idx": 9
    },
    {
        "type": "text",
        "text": "Pre-Training. We provide the complete training notes, Tensorboard logs, and code for our pretraining in our repository (Cf. Abstract). The pre-training hyper-parameters and cluster configuration are provided in Section 2.3 and Table 11. The training corpora composition and details for Multi-task Instruction Pre-training are provided in Section 2.2 and Appendix C.1 and C.2. ",
        "bbox": [
            174,
            103,
            823,
            159
        ],
        "page_idx": 10
    },
    {
        "type": "text",
        "text": "Evaluation. We organize all the evaluation, including language benchmarks (LAMBADA, Pile, MMLU, BIG-bench, CLUE, and FewCLUE) and ethical benchmarks (CrowS-Pairs, StereoSet, ETHOS, RealToxicPrompts), into one-command-to-run bash scripts in our code repository. Data processing details for language modeling benchmarks are provided in Section 5.1 and Appendix C.4, for MMLU are provided in Section 5.2 and Appendix C.6, for BIG-bench are provided in Section 5.3 and Appendix C.5, for CLUE and FewCLUE are provided in 5.4. For all ethical evaluation, please refer to Appendix A for details. ",
        "bbox": [
            174,
            166,
            825,
            263
        ],
        "page_idx": 10
    },
    {
        "type": "text",
        "text": "REFERENCES ",
        "text_level": 1,
        "bbox": [
            174,
            286,
            285,
            301
        ],
        "page_idx": 10
    },
    {
        "type": "text",
        "text": "Oshin Agarwal, Heming Ge, Siamak Shakeri, and Rami Al-Rfou. Knowledge graph based synthetic corpus generation for knowledge-enhanced language model pre-training. In Proceedings of the 2021 Conference of the North American Chapter of the Association for Computational Linguistics: Human Language Technologies, pp. 3554–3565, 2021. ",
        "bbox": [
            174,
            316,
            825,
            372
        ],
        "page_idx": 10
    },
    {
        "type": "text",
        "text": "Vamsi Aribandi, Yi Tay, Tal Schuster, Jinfeng Rao, Huaixiu Steven Zheng, Sanket Vaibhav Mehta, Honglei Zhuang, Vinh Q Tran, Dara Bahri, Jianmo Ni, et al. Ext5: Towards extreme multi-task scaling for transfer learning. In International Conference on Learning Representations, 2022. ",
        "bbox": [
            176,
            383,
            823,
            426
        ],
        "page_idx": 10
    },
    {
        "type": "text",
        "text": "Mikel Artetxe, Shruti Bhosale, Naman Goyal, Todor Mihaylov, Myle Ott, Sam Shleifer, Xi Victoria Lin, Jingfei Du, Srinivasan Iyer, Ramakanth Pasunuru, et al. Efficient large scale language modeling with mixtures of experts. arXiv preprint arXiv:2112.10684, 2021. ",
        "bbox": [
            173,
            436,
            823,
            479
        ],
        "page_idx": 10
    },
    {
        "type": "text",
        "text": "Jimmy Lei Ba, Jamie Ryan Kiros, and Geoffrey E Hinton. Layer normalization. arXiv preprint arXiv:1607.06450, 2016. ",
        "bbox": [
            171,
            491,
            823,
            520
        ],
        "page_idx": 10
    },
    {
        "type": "text",
        "text": "Stephen Bach, Victor Sanh, Zheng Xin Yong, Albert Webson, Colin Raffel, Nihal V Nayak, Abheesht Sharma, Taewoon Kim, M Saiful Bari, Thibault Févry, et al. Promptsource: An integrated development environment and repository for natural language prompts. In Proceedings of the 60th Annual Meeting of the Association for Computational Linguistics: System Demonstrations, pp. 93–104, 2022. ",
        "bbox": [
            174,
            530,
            825,
            601
        ],
        "page_idx": 10
    },
    {
        "type": "text",
        "text": "Emily M. Bender, Timnit Gebru, Angelina McMillan-Major, and Shmargaret Shmitchell. On the dangers of stochastic parrots: Can language models be too big? In FAccT ’21: 2021 ACM Conference on Fairness, Accountability, and Transparency, Virtual Event / Toronto, Canada, March 3-10, 2021, pp. 610–623. ACM, 2021. ",
        "bbox": [
            173,
            611,
            825,
            667
        ],
        "page_idx": 10
    },
    {
        "type": "text",
        "text": "Jonathan Berant, Andrew Chou, Roy Frostig, and Percy Liang. Semantic parsing on freebase from question-answer pairs. In Proceedings of the 2013 conference on empirical methods in natural language processing, pp. 1533–1544, 2013. ",
        "bbox": [
            173,
            679,
            823,
            722
        ],
        "page_idx": 10
    },
    {
        "type": "text",
        "text": "Yonatan Bisk, Rowan Zellers, Jianfeng Gao, Yejin Choi, et al. Piqa: Reasoning about physical commonsense in natural language. In Proceedings of the AAAI conference on artificial intelligence, volume 34, pp. 7432–7439, 2020. ",
        "bbox": [
            174,
            732,
            825,
            775
        ],
        "page_idx": 10
    },
    {
        "type": "text",
        "text": "Sidney Black, Stella Biderman, Eric Hallahan, Quentin Anthony, Leo Gao, Laurence Golding, Horace He, Connor Leahy, Kyle McDonell, Jason Phang, et al. Gpt-neox-20b: An open-source autoregressive language model. In Proceedings of BigScience Episode\\# 5–Workshop on Challenges & Perspectives in Creating Large Language Models, pp. 95–136, 2022. ",
        "bbox": [
            174,
            786,
            825,
            843
        ],
        "page_idx": 10
    },
    {
        "type": "text",
        "text": "Su Lin Blodgett, Gilsinia Lopez, Alexandra Olteanu, Robert Sim, and Hanna Wallach. Stereotyping norwegian salmon: An inventory of pitfalls in fairness benchmark datasets. In Proceedings of the 59th Annual Meeting of the Association for Computational Linguistics and the 11th International Joint Conference on Natural Language Processing (Volume 1: Long Papers), pp. 1004–1015, 2021. ",
        "bbox": [
            174,
            853,
            825,
            922
        ],
        "page_idx": 10
    },
    {
        "type": "text",
        "text": "Rishi Bommasani, Drew A Hudson, Ehsan Adeli, Russ Altman, Simran Arora, Sydney von Arx, Michael S Bernstein, Jeannette Bohg, Antoine Bosselut, Emma Brunskill, et al. On the opportunities and risks of foundation models. arXiv preprint arXiv:2108.07258, 2021. ",
        "bbox": [
            176,
            103,
            820,
            146
        ],
        "page_idx": 11
    },
    {
        "type": "text",
        "text": "Tom Brown, Benjamin Mann, Nick Ryder, Melanie Subbiah, Jared D Kaplan, Prafulla Dhariwal, Arvind Neelakantan, Pranav Shyam, Girish Sastry, Amanda Askell, et al. Language models are few-shot learners. Advances in neural information processing systems, 33:1877–1901, 2020. ",
        "bbox": [
            178,
            154,
            821,
            196
        ],
        "page_idx": 11
    },
    {
        "type": "text",
        "text": "Nicola De Cao, Wilker Aziz, and Ivan Titov. Editing factual knowledge in language models. In Proceedings of the 2021 Conference on Empirical Methods in Natural Language Processing, EMNLP 2021, Virtual Event / Punta Cana, Dominican Republic, 7-11 November, 2021, pp. 6491– 6506. Association for Computational Linguistics, 2021. ",
        "bbox": [
            173,
            204,
            826,
            262
        ],
        "page_idx": 11
    },
    {
        "type": "text",
        "text": "Xavier Carreras and Lluís Màrquez. Introduction to the conll-2005 shared task: Semantic role labeling. In CoNLL, pp. 152–164, 2005. ",
        "bbox": [
            173,
            270,
            821,
            299
        ],
        "page_idx": 11
    },
    {
        "type": "text",
        "text": "Thiago Castro Ferreira, Claire Gardent, Nikolai Ilinykh, Chris van der Lee, Simon Mille, Diego Moussallem, and Anastasia Shimorina. The 2020 bilingual, bi-directional WebNLG $^ +$ shared task: Overview and evaluation results (WebNLG $^ +$ 2020). In Proceedings of the 3rd International Workshop on Natural Language Generation from the Semantic Web $( W e b N L G + ,$ ), pp. 55–76, Dublin, Ireland (Virtual), 12 2020. Association for Computational Linguistics. URL https://aclanthology.org/2020.webnlg-1.7. ",
        "bbox": [
            174,
            306,
            825,
            392
        ],
        "page_idx": 11
    },
    {
        "type": "text",
        "text": "Xinlei Chen, Saining Xie, and Kaiming He. An empirical study of training self-supervised vision transformers. In Proceedings of the IEEE/CVF International Conference on Computer Vision, pp. 9640–9649, 2021. ",
        "bbox": [
            174,
            400,
            825,
            441
        ],
        "page_idx": 11
    },
    {
        "type": "text",
        "text": "Ke-Li Chiu and Rohan Alexander. Detecting hate speech with gpt-3. arXiv preprint arXiv:2103.12407, 2021. ",
        "bbox": [
            171,
            450,
            823,
            479
        ],
        "page_idx": 11
    },
    {
        "type": "text",
        "text": "Aakanksha Chowdhery, Sharan Narang, Jacob Devlin, Maarten Bosma, Gaurav Mishra, Adam Roberts, Paul Barham, Hyung Won Chung, Charles Sutton, Sebastian Gehrmann, et al. Palm: Scaling language modeling with pathways. arXiv preprint arXiv:2204.02311, 2022. ",
        "bbox": [
            174,
            487,
            823,
            530
        ],
        "page_idx": 11
    },
    {
        "type": "text",
        "text": "Peter Clark, Isaac Cowhey, Oren Etzioni, Tushar Khot, Ashish Sabharwal, Carissa Schoenick, and Oyvind Tafjord. Think you have solved question answering? try arc, the ai2 reasoning challenge. arXiv preprint arXiv:1803.05457, 2018. ",
        "bbox": [
            174,
            537,
            823,
            580
        ],
        "page_idx": 11
    },
    {
        "type": "text",
        "text": "Zihang Dai, Zhilin Yang, Yiming Yang, Jaime G Carbonell, Quoc Le, and Ruslan Salakhutdinov. Transformer-xl: Attentive language models beyond a fixed-length context. In Proceedings of the 57th Annual Meeting of the Association for Computational Linguistics, pp. 2978–2988, 2019. ",
        "bbox": [
            174,
            589,
            823,
            632
        ],
        "page_idx": 11
    },
    {
        "type": "text",
        "text": "Tim Dettmers, Mike Lewis, Sam Shleifer, and Luke Zettlemoyer. 8-bit optimizers via block-wise quantization. arXiv preprint arXiv:2110.02861, 2021. ",
        "bbox": [
            171,
            640,
            823,
            670
        ],
        "page_idx": 11
    },
    {
        "type": "text",
        "text": "Tim Dettmers, Mike Lewis, Younes Belkada, and Luke Zettlemoyer. Llm. int8 (): 8-bit matrix multiplication for transformers at scale. arXiv preprint arXiv:2208.07339, 2022. ",
        "bbox": [
            169,
            676,
            821,
            707
        ],
        "page_idx": 11
    },
    {
        "type": "text",
        "text": "Sunipa Dev, Masoud Monajatipoor, Anaelia Ovalle, Arjun Subramonian, J. M. Phillips, and Kai Wei Chang. Harms of gender exclusivity and challenges in non-binary representation in language technologies. ArXiv, abs/2108.12084, 2021. ",
        "bbox": [
            174,
            714,
            825,
            757
        ],
        "page_idx": 11
    },
    {
        "type": "text",
        "text": "Jacob Devlin, Ming-Wei Chang, Kenton Lee, and Kristina Toutanova. Bert: Pre-training of deep bidirectional transformers for language understanding. In Proceedings of the 2019 Conference of the North American Chapter of the Association for Computational Linguistics: Human Language Technologies, Volume 1 (Long and Short Papers), pp. 4171–4186, 2019. ",
        "bbox": [
            173,
            765,
            825,
            821
        ],
        "page_idx": 11
    },
    {
        "type": "text",
        "text": "Ming Ding, Zhuoyi Yang, Wenyi Hong, Wendi Zheng, Chang Zhou, Da Yin, Junyang Lin, Xu Zou, Zhou Shao, Hongxia Yang, et al. Cogview: Mastering text-to-image generation via transformers. Advances in Neural Information Processing Systems, 34:19822–19835, 2021. ",
        "bbox": [
            176,
            829,
            821,
            873
        ],
        "page_idx": 11
    },
    {
        "type": "text",
        "text": "Li Dong, Nan Yang, Wenhui Wang, Furu Wei, Xiaodong Liu, Yu Wang, Jianfeng Gao, Ming Zhou, and Hsiao-Wuen Hon. Unified language model pre-training for natural language understanding and generation. Advances in Neural Information Processing Systems, 32, 2019. ",
        "bbox": [
            174,
            881,
            825,
            924
        ],
        "page_idx": 11
    },
    {
        "type": "text",
        "text": "Zhengxiao Du, Yujie Qian, Xiao Liu, Ming Ding, Jiezhong Qiu, Zhilin Yang, and Jie Tang. Glm: General language model pretraining with autoregressive blank infilling. In Proceedings of the 60th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers), pp. 320–335, 2022. ",
        "bbox": [
            174,
            103,
            825,
            159
        ],
        "page_idx": 12
    },
    {
        "type": "text",
        "text": "Ondˇrej Dušek, David M. Howcroft, and Verena Rieser. Semantic noise matters for neural natural language generation. In Proceedings of the 12th International Conference on Natural Language Generation, pp. 421–426, Tokyo, Japan, October–November 2019. Association for Computational Linguistics. doi: 10.18653/v1/W19-8652. URL https://aclanthology.org/W19 -8652. ",
        "bbox": [
            173,
            169,
            825,
            238
        ],
        "page_idx": 12
    },
    {
        "type": "text",
        "text": "Hady Elsahar, Pavlos Vougiouklis, Arslen Remaci, Christophe Gravier, Jonathon Hare, Frederique Laforest, and Elena Simperl. T-rex: A large scale alignment of natural language with knowledge base triples. In Proceedings of the Eleventh International Conference on Language Resources and Evaluation (LREC 2018), 2018. ",
        "bbox": [
            173,
            247,
            825,
            304
        ],
        "page_idx": 12
    },
    {
        "type": "text",
        "text": "Mihail Eric, Rahul Goel, Shachi Paul, Abhishek Sethi, Sanchit Agarwal, Shuyang Gao, Adarsh Kumar, Anuj Kumar Goyal, Peter Ku, and Dilek Hakkani-Tür. Multiwoz 2.1: A consolidated multi-domain dialogue dataset with state corrections and state tracking baselines. In LREC, 2020. ",
        "bbox": [
            176,
            313,
            825,
            356
        ],
        "page_idx": 12
    },
    {
        "type": "text",
        "text": "Angela Fan, Edouard Grave, and Armand Joulin. Reducing transformer depth on demand with structured dropout. arXiv preprint arXiv:1909.11556, 2019. ",
        "bbox": [
            169,
            364,
            823,
            393
        ],
        "page_idx": 12
    },
    {
        "type": "text",
        "text": "Leo Gao, Stella Biderman, Sid Black, Laurence Golding, Travis Hoppe, Charles Foster, Jason Phang, Horace He, Anish Thite, Noa Nabeshima, et al. The pile: An 800gb dataset of diverse text for language modeling. arXiv preprint arXiv:2101.00027, 2020. ",
        "bbox": [
            174,
            402,
            823,
            445
        ],
        "page_idx": 12
    },
    {
        "type": "text",
        "text": "Samuel Gehman, Suchin Gururangan, Maarten Sap, Yejin Choi, and Noah A. Smith. Realtoxicityprompts: Evaluating Neural Toxic Degeneration in Language Models. dblp://journals/dblp, 2020. ",
        "bbox": [
            176,
            454,
            823,
            497
        ],
        "page_idx": 12
    },
    {
        "type": "text",
        "text": "Sebastian Gehrmann, Hendrik Strobelt, and Alexander Rush. GLTR: Statistical detection and visualization of generated text. In Proceedings of the 57th Annual Meeting of the Association for Computational Linguistics: System Demonstrations, pp. 111–116, Florence, Italy, July 2019. Association for Computational Linguistics. ",
        "bbox": [
            174,
            506,
            825,
            563
        ],
        "page_idx": 12
    },
    {
        "type": "text",
        "text": "Sebastian Gehrmann, Tosin Adewumi, Karmanya Aggarwal, Pawan Sasanka Ammanamanchi, Aremu Anuoluwapo, Antoine Bosselut, Khyathi Raghavi Chandu, Miruna Clinciu, Dipanjan Das, Kaustubh D Dhole, et al. The gem benchmark: Natural language generation, its evaluation and metrics. GEM 2021, pp. 96, 2021. ",
        "bbox": [
            173,
            571,
            825,
            628
        ],
        "page_idx": 12
    },
    {
        "type": "text",
        "text": "Mor Geva, Daniel Khashabi, Elad Segal, Tushar Khot, Dan Roth, and Jonathan Berant. Did aristotle use a laptop? a question answering benchmark with implicit reasoning strategies. Transactions of the Association for Computational Linguistics, 9:346–361, 2021. ",
        "bbox": [
            173,
            637,
            826,
            680
        ],
        "page_idx": 12
    },
    {
        "type": "text",
        "text": "Peter Hase, Mona T. Diab, Asli Celikyilmaz, Xian Li, Zornitsa Kozareva, Veselin Stoyanov, Mohit Bansal, and Srinivasan Iyer. Do language models have beliefs? methods for detecting, updating, and visualizing model beliefs. CoRR, abs/2111.13654, 2021. ",
        "bbox": [
            176,
            689,
            825,
            732
        ],
        "page_idx": 12
    },
    {
        "type": "text",
        "text": "Ruining He, Anirudh Ravula, Bhargav Kanagal, and Joshua Ainslie. Realformer: Transformer likes residual attention. In Findings of the Association for Computational Linguistics: ACL-IJCNLP 2021, pp. 929–943, 2021. ",
        "bbox": [
            173,
            739,
            825,
            784
        ],
        "page_idx": 12
    },
    {
        "type": "text",
        "text": "Dan Hendrycks and Kevin Gimpel. Gaussian error linear units (gelus). arXiv preprint arXiv:1606.08415, 2016. ",
        "bbox": [
            169,
            791,
            825,
            820
        ],
        "page_idx": 12
    },
    {
        "type": "text",
        "text": "Dan Hendrycks, Collin Burns, Steven Basart, Andy Zou, Mantas Mazeika, Dawn Song, and Jacob Steinhardt. Measuring massive multitask language understanding. In International Conference on Learning Representations, 2021. ",
        "bbox": [
            174,
            829,
            823,
            872
        ],
        "page_idx": 12
    },
    {
        "type": "text",
        "text": "Jordan Hoffmann, Sebastian Borgeaud, Arthur Mensch, Elena Buchatskaya, Trevor Cai, Eliza Rutherford, Diego de Las Casas, Lisa Anne Hendricks, Johannes Welbl, Aidan Clark, et al. Training compute-optimal large language models. arXiv preprint arXiv:2203.15556, 2022. ",
        "bbox": [
            174,
            882,
            825,
            924
        ],
        "page_idx": 12
    },
    {
        "type": "text",
        "text": "Wenyi Hong, Ming Ding, Wendi Zheng, Xinghan Liu, and Jie Tang. Cogvideo: Large-scale pretraining for text-to-video generation via transformers. arXiv preprint arXiv:2205.15868, 2022. ",
        "bbox": [
            171,
            103,
            821,
            132
        ],
        "page_idx": 13
    },
    {
        "type": "text",
        "text": "Neil Houlsby, Andrei Giurgiu, Stanislaw Jastrzebski, Bruna Morrone, Quentin De Laroussilhe, Andrea Gesmundo, Mona Attariyan, and Sylvain Gelly. Parameter-efficient transfer learning for nlp. In International Conference on Machine Learning, pp. 2790–2799. PMLR, 2019. ",
        "bbox": [
            174,
            142,
            825,
            185
        ],
        "page_idx": 13
    },
    {
        "type": "text",
        "text": "Yanping Huang, Youlong Cheng, Ankur Bapna, Orhan Firat, Dehao Chen, Mia Chen, HyoukJoong Lee, Jiquan Ngiam, Quoc V Le, Yonghui Wu, et al. Gpipe: Efficient training of giant neural networks using pipeline parallelism. Advances in neural information processing systems, 32, 2019. ",
        "bbox": [
            174,
            196,
            825,
            252
        ],
        "page_idx": 13
    },
    {
        "type": "text",
        "text": "Abigail Z Jacobs and Hanna Wallach. Measurement and fairness. In Proceedings of the 2021 ACM conference on fairness, accountability, and transparency, pp. 375–385, 2021. ",
        "bbox": [
            171,
            265,
            823,
            294
        ],
        "page_idx": 13
    },
    {
        "type": "text",
        "text": "Xiaoqi Jiao, Yichun Yin, Lifeng Shang, Xin Jiang, Xiao Chen, Linlin Li, Fang Wang, and Qun Liu. Tinybert: Distilling bert for natural language understanding. In Findings of the Association for Computational Linguistics: EMNLP 2020, pp. 4163–4174, 2020. ",
        "bbox": [
            179,
            304,
            823,
            347
        ],
        "page_idx": 13
    },
    {
        "type": "text",
        "text": "Mandar Joshi, Eunsol Choi, Daniel S Weld, and Luke Zettlemoyer. Triviaqa: A large scale distantly supervised challenge dataset for reading comprehension. In Proceedings of the 55th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers), pp. 1601–1611, 2017. ",
        "bbox": [
            174,
            357,
            825,
            414
        ],
        "page_idx": 13
    },
    {
        "type": "text",
        "text": "Paul R Kingsbury and Martha Palmer. From treebank to propbank. Citeseer. ",
        "bbox": [
            174,
            425,
            673,
            440
        ],
        "page_idx": 13
    },
    {
        "type": "text",
        "text": "Tom Kwiatkowski, Jennimaria Palomaki, Olivia Redfield, Michael Collins, Ankur Parikh, Chris Alberti, Danielle Epstein, Illia Polosukhin, Jacob Devlin, Kenton Lee, et al. Natural questions: a benchmark for question answering research. Transactions of the Association for Computational Linguistics, 7:453–466, 2019. ",
        "bbox": [
            174,
            452,
            825,
            507
        ],
        "page_idx": 13
    },
    {
        "type": "text",
        "text": "Alexandre Lacoste, Alexandra Luccioni, Victor Schmidt, and Thomas Dandres. Quantifying the carbon emissions of machine learning. CoRR, abs/1910.09700, 2019. ",
        "bbox": [
            173,
            518,
            823,
            547
        ],
        "page_idx": 13
    },
    {
        "type": "text",
        "text": "Brian Lester, Rami Al-Rfou, and Noah Constant. The power of scale for parameter-efficient prompt tuning. In Proceedings of the 2021 Conference on Empirical Methods in Natural Language Processing, pp. 3045–3059, 2021. ",
        "bbox": [
            174,
            559,
            825,
            602
        ],
        "page_idx": 13
    },
    {
        "type": "text",
        "text": "Hector Levesque, Ernest Davis, and Leora Morgenstern. The winograd schema challenge. In Thirteenth international conference on the principles of knowledge representation and reasoning, 2012. ",
        "bbox": [
            174,
            613,
            825,
            655
        ],
        "page_idx": 13
    },
    {
        "type": "text",
        "text": "Xiang Lisa Li and Percy Liang. Prefix-tuning: Optimizing continuous prompts for generation. In Proceedings of the 59th Annual Meeting of the Association for Computational Linguistics and the 11th International Joint Conference on Natural Language Processing (Volume 1: Long Papers), pp. 4582–4597, 2021. ",
        "bbox": [
            173,
            666,
            825,
            723
        ],
        "page_idx": 13
    },
    {
        "type": "text",
        "text": "Xiangyang Li, Yu Xia, Xiang Long, Zheng Li, and Sujian Li. Exploring text-transformers in aaai 2021 shared task: Covid-19 fake news detection in english. In CONSTRAINT@AAAI, 2021. ",
        "bbox": [
            173,
            733,
            821,
            762
        ],
        "page_idx": 13
    },
    {
        "type": "text",
        "text": "Paul Pu Liang, Chiyu Wu, Louis-Philippe Morency, and Ruslan Salakhutdinov. Towards understanding and mitigating social biases in language models. In Proceedings of the 38th International Conference on Machine Learning, ICML 2021, 18-24 July 2021, Virtual Event, volume 139 of Proceedings of Machine Learning Research, pp. 6565–6576. PMLR, 2021. ",
        "bbox": [
            173,
            773,
            825,
            830
        ],
        "page_idx": 13
    },
    {
        "type": "text",
        "text": "Opher Lieber, Or Sharir, Barak Lenz, and Yoav Shoham. Jurassic-1: Technical details and evaluation. White Paper. AI21 Labs, 2021. ",
        "bbox": [
            171,
            842,
            823,
            871
        ],
        "page_idx": 13
    },
    {
        "type": "text",
        "text": "Chin-Yew Lin. ROUGE: A package for automatic evaluation of summaries. In Text Summarization Branches Out, pp. 74–81, Barcelona, Spain, July 2004. Association for Computational Linguistics. URL https://aclanthology.org/W04-1013. ",
        "bbox": [
            174,
            882,
            823,
            924
        ],
        "page_idx": 13
    },
    {
        "type": "text",
        "text": "Stephanie Lin, Jacob Hilton, and Owain Evans. TruthfulQA: Measuring how models mimic human falsehoods. In Proceedings of the 60th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers), pp. 3214–3252, Dublin, Ireland, May 2022. Association for Computational Linguistics. ",
        "bbox": [
            174,
            103,
            825,
            160
        ],
        "page_idx": 14
    },
    {
        "type": "text",
        "text": "Pengfei Liu, Weizhe Yuan, Jinlan Fu, Zhengbao Jiang, Hiroaki Hayashi, and Graham Neubig. Pretrain, prompt, and predict: A systematic survey of prompting methods in natural language processing. arXiv preprint arXiv:2107.13586, 2021a. ",
        "bbox": [
            173,
            171,
            825,
            214
        ],
        "page_idx": 14
    },
    {
        "type": "text",
        "text": "Peter J Liu, Mohammad Saleh, Etienne Pot, Ben Goodrich, Ryan Sepassi, Lukasz Kaiser, and Noam Shazeer. Generating wikipedia by summarizing long sequences. In International Conference on Learning Representations, 2018. ",
        "bbox": [
            174,
            227,
            823,
            268
        ],
        "page_idx": 14
    },
    {
        "type": "text",
        "text": "Xiao Liu, Yanan Zheng, Zhengxiao Du, Ming Ding, Yujie Qian, Zhilin Yang, and Jie Tang. Gpt understands, too. arXiv preprint arXiv:2103.10385, 2021b. ",
        "bbox": [
            169,
            280,
            823,
            310
        ],
        "page_idx": 14
    },
    {
        "type": "text",
        "text": "Xiao Liu, Kaixuan Ji, Yicheng Fu, Weng Tam, Zhengxiao Du, Zhilin Yang, and Jie Tang. P-tuning: Prompt tuning can be comparable to fine-tuning across scales and tasks. In Proceedings of the 60th Annual Meeting of the Association for Computational Linguistics (Volume 2: Short Papers), pp. 61–68, 2022. ",
        "bbox": [
            173,
            320,
            825,
            378
        ],
        "page_idx": 14
    },
    {
        "type": "text",
        "text": "Ilya Loshchilov and Frank Hutter. Decoupled weight decay regularization. In 7th International Conference on Learning Representations, ICLR 2019, New Orleans, LA, USA, May 6-9, 2019, 2019. ",
        "bbox": [
            174,
            390,
            823,
            431
        ],
        "page_idx": 14
    },
    {
        "type": "text",
        "text": "Paul Michel, Omer Levy, and Graham Neubig. Are sixteen heads really better than one? Advances in neural information processing systems, 32, 2019. ",
        "bbox": [
            173,
            444,
            823,
            473
        ],
        "page_idx": 14
    },
    {
        "type": "text",
        "text": "Paulius Micikevicius, Sharan Narang, Jonah Alben, Gregory Diamos, Erich Elsen, David Garcia, Boris Ginsburg, Michael Houston, Oleksii Kuchaiev, Ganesh Venkatesh, and Hao Wu. Mixed precision training. In International Conference on Learning Representations, 2018. ",
        "bbox": [
            173,
            484,
            825,
            529
        ],
        "page_idx": 14
    },
    {
        "type": "text",
        "text": "Todor Mihaylov, Peter Clark, Tushar Khot, and Ashish Sabharwal. Can a suit of armor conduct electricity? a new dataset for open book question answering. In Proceedings of the 2018 Conference on Empirical Methods in Natural Language Processing, pp. 2381–2391, 2018. ",
        "bbox": [
            176,
            540,
            823,
            583
        ],
        "page_idx": 14
    },
    {
        "type": "text",
        "text": "Eric Mitchell, Charles Lin, Antoine Bosselut, Christopher D. Manning, and Chelsea Finn. Memorybased model editing at scale. In International Conference on Machine Learning, ICML 2022, 17-23 July 2022, Baltimore, Maryland, USA, volume 162 of Proceedings of Machine Learning Research, pp. 15817–15831. PMLR, 2022. ",
        "bbox": [
            173,
            594,
            825,
            651
        ],
        "page_idx": 14
    },
    {
        "type": "text",
        "text": "Ioannis Mollas, Zoe Chrysopoulou, Stamatis Karlos, and Grigorios Tsoumakas. Ethos: an online hate speech detection dataset. arXiv preprint arXiv:2006.08328, 2020. ",
        "bbox": [
            171,
            662,
            825,
            693
        ],
        "page_idx": 14
    },
    {
        "type": "text",
        "text": "Moin Nadeem, Anna Bethke, and Siva Reddy. Stereoset: Measuring stereotypical bias in pretrained language models. In Proceedings of the 59th Annual Meeting of the Association for Computational Linguistics and the 11th International Joint Conference on Natural Language Processing (Volume 1: Long Papers), pp. 5356–5371, 2021. ",
        "bbox": [
            173,
            704,
            825,
            761
        ],
        "page_idx": 14
    },
    {
        "type": "text",
        "text": "Nikita Nangia, Clara Vania, Rasika Bhalerao, and Samuel Bowman. Crows-pairs: A challenge dataset for measuring social biases in masked language models. In Proceedings of the 2020 Conference on Empirical Methods in Natural Language Processing (EMNLP), pp. 1953–1967, 2020. ",
        "bbox": [
            173,
            772,
            825,
            829
        ],
        "page_idx": 14
    },
    {
        "type": "text",
        "text": "Deepak Narayanan, Amar Phanishayee, Kaiyu Shi, Xie Chen, and Matei Zaharia. Memory-efficient pipeline-parallel dnn training. In International Conference on Machine Learning, pp. 7937–7947. PMLR, 2021. ",
        "bbox": [
            173,
            840,
            825,
            883
        ],
        "page_idx": 14
    },
    {
        "type": "text",
        "text": "Tomoko Ohta, Yuka Tateisi, and Jin-Dong Kim. The genia corpus: An annotated research abstract corpus in molecular biology domain. In HLT, pp. 82–86, 2002. ",
        "bbox": [
            173,
            895,
            823,
            924
        ],
        "page_idx": 14
    },
    {
        "type": "text",
        "text": "Denis Paperno, Germán Kruszewski, Angeliki Lazaridou, Ngoc-Quan Pham, Raffaella Bernardi, Sandro Pezzelle, Marco Baroni, Gemma Boleda, and Raquel Fernández. The lambada dataset: Word prediction requiring a broad discourse context. In Proceedings of the 54th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers), pp. 1525–1534, 2016. ",
        "bbox": [
            174,
            103,
            825,
            160
        ],
        "page_idx": 15
    },
    {
        "type": "text",
        "text": "David A. Patterson, Joseph Gonzalez, Quoc V. Le, Chen Liang, Lluis-Miquel Munguia, Daniel Rothchild, David R. So, Maud Texier, and Jeff Dean. Carbon emissions and large neural network training. CoRR, abs/2104.10350, 2021. ",
        "bbox": [
            174,
            171,
            823,
            213
        ],
        "page_idx": 15
    },
    {
        "type": "text",
        "text": "Sameer Pradhan, Alessandro Moschitti, Nianwen Xue, Hwee Tou Ng, Anders Björkelund, Olga Uryupina, Yuchen Zhang, and Zhi Zhong. Towards robust linguistic analysis using ontonotes. In CoNLL, pp. 143–152, 2013. ",
        "bbox": [
            173,
            224,
            825,
            267
        ],
        "page_idx": 15
    },
    {
        "type": "text",
        "text": "Ofir Press, Noah Smith, and Mike Lewis. Train short, test long: Attention with linear biases enables input length extrapolation. In International Conference on Learning Representations, 2021. ",
        "bbox": [
            171,
            279,
            823,
            308
        ],
        "page_idx": 15
    },
    {
        "type": "text",
        "text": "Amy Pu, Hyung Won Chung, Ankur Parikh, Sebastian Gehrmann, and Thibault Sellam. Learning compact metrics for MT. In Proceedings of the 2021 Conference on Empirical Methods in Natural Language Processing, pp. 751–762, Online and Punta Cana, Dominican Republic, November 2021. Association for Computational Linguistics. doi: 10.18653/v1/2021.emnlp-main.58. URL https://aclanthology.org/2021.emnlp-main.58. ",
        "bbox": [
            174,
            318,
            825,
            388
        ],
        "page_idx": 15
    },
    {
        "type": "text",
        "text": "Xipeng Qiu, Tianxiang Sun, Yige Xu, Yunfan Shao, Ning Dai, and Xuanjing Huang. Pre-trained models for natural language processing: A survey. Science China Technological Sciences, 63(10): 1872–1897, 2020. ",
        "bbox": [
            173,
            400,
            826,
            443
        ],
        "page_idx": 15
    },
    {
        "type": "text",
        "text": "Alec Radford, Karthik Narasimhan, Tim Salimans, and Ilya Sutskever. Improving language understanding with unsupervised learning. 2018. ",
        "bbox": [
            171,
            453,
            823,
            482
        ],
        "page_idx": 15
    },
    {
        "type": "text",
        "text": "Alec Radford, Jeffrey Wu, Rewon Child, David Luan, Dario Amodei, Ilya Sutskever, et al. Language models are unsupervised multitask learners. OpenAI blog, 1(8):9, 2019. ",
        "bbox": [
            169,
            492,
            823,
            522
        ],
        "page_idx": 15
    },
    {
        "type": "text",
        "text": "Jack W Rae, Sebastian Borgeaud, Trevor Cai, Katie Millican, Jordan Hoffmann, Francis Song, John Aslanides, Sarah Henderson, Roman Ring, Susannah Young, et al. Scaling language models: Methods, analysis & insights from training gopher. arXiv preprint arXiv:2112.11446, 2021. ",
        "bbox": [
            173,
            532,
            825,
            577
        ],
        "page_idx": 15
    },
    {
        "type": "text",
        "text": "Colin Raffel, Noam Shazeer, Adam Roberts, Katherine Lee, Sharan Narang, Michael Matena, Yanqi Zhou, Wei Li, Peter J Liu, et al. Exploring the limits of transfer learning with a unified text-to-text transformer. J. Mach. Learn. Res., 21(140):1–67, 2020. ",
        "bbox": [
            174,
            587,
            825,
            630
        ],
        "page_idx": 15
    },
    {
        "type": "text",
        "text": "Aditya Ramesh, Mikhail Pavlov, Gabriel Goh, Scott Gray, Chelsea Voss, Alec Radford, Mark Chen, and Ilya Sutskever. Zero-shot text-to-image generation. In International Conference on Machine Learning, pp. 8821–8831. PMLR, 2021. ",
        "bbox": [
            173,
            640,
            823,
            683
        ],
        "page_idx": 15
    },
    {
        "type": "text",
        "text": "Jeff Rasley, Samyam Rajbhandari, Olatunji Ruwase, and Yuxiong He. Deepspeed: System optimizations enable training deep learning models with over 100 billion parameters. In Proceedings of the 26th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining, pp. 3505–3506, 2020. ",
        "bbox": [
            173,
            694,
            825,
            751
        ],
        "page_idx": 15
    },
    {
        "type": "text",
        "text": "Sebastian Riedel, Limin Yao, and Andrew McCallum. Modeling relations and their mentions without labeled text. In ECML-PKDD, pp. 148–163, 2010. ",
        "bbox": [
            171,
            761,
            823,
            791
        ],
        "page_idx": 15
    },
    {
        "type": "text",
        "text": "Adam Roberts, Colin Raffel, and Noam Shazeer. How much knowledge can you pack into the parameters of a language model? In Proceedings of the 2020 Conference on Empirical Methods in Natural Language Processing (EMNLP), pp. 5418–5426, 2020. ",
        "bbox": [
            174,
            801,
            823,
            844
        ],
        "page_idx": 15
    },
    {
        "type": "text",
        "text": "Dan Roth and Wen-tau Yih. A linear programming formulation for global inference in natural language tasks. In HLT-NAACL, pp. 1–8, 2004. ",
        "bbox": [
            171,
            854,
            823,
            885
        ],
        "page_idx": 15
    },
    {
        "type": "text",
        "text": "Rachel Rudinger, Jason Naradowsky, Brian Leonard, and Benjamin Van Durme. Gender bias in coreference resolution. In NAACL-HLT (2), 2018. ",
        "bbox": [
            174,
            895,
            823,
            924
        ],
        "page_idx": 15
    },
    {
        "type": "text",
        "text": "Chitwan Saharia, William Chan, Saurabh Saxena, Lala Li, Jay Whang, Emily Denton, Seyed Kamyar Seyed Ghasemipour, Raphael Gontijo-Lopes, Burcu Karagol Ayan, Tim Salimans, et al. Photorealistic text-to-image diffusion models with deep language understanding. In Advances in Neural Information Processing Systems. ",
        "bbox": [
            174,
            103,
            825,
            160
        ],
        "page_idx": 16
    },
    {
        "type": "text",
        "text": "Keisuke Sakaguchi, Ronan Le Bras, Chandra Bhagavatula, and Yejin Choi. Winogrande: An adversarial winograd schema challenge at scale. Communications of the ACM, 64(9):99–106, 2021. ",
        "bbox": [
            171,
            167,
            823,
            196
        ],
        "page_idx": 16
    },
    {
        "type": "text",
        "text": "Erik F. Tjong Kim Sang and Fien De Meulder. Introduction to the conll-2003 shared task: Languageindependent named entity recognition. In HLT-NAACL, pp. 142–147, 2003. ",
        "bbox": [
            173,
            204,
            821,
            234
        ],
        "page_idx": 16
    },
    {
        "type": "text",
        "text": "Victor Sanh, Lysandre Debut, Julien Chaumond, and Thomas Wolf. Distilbert, a distilled version of bert: smaller, faster, cheaper and lighter. arXiv preprint arXiv:1910.01108, 2019. ",
        "bbox": [
            173,
            242,
            823,
            271
        ],
        "page_idx": 16
    },
    {
        "type": "text",
        "text": "Victor Sanh, Albert Webson, Colin Raffel, Stephen Bach, Lintang Sutawika, Zaid Alyafeai, Antoine Chaffin, Arnaud Stiegler, Teven Le Scao, Arun Raja, et al. Multitask prompted training enables zero-shot task generalization. In The Tenth International Conference on Learning Representations, 2022. ",
        "bbox": [
            174,
            279,
            826,
            335
        ],
        "page_idx": 16
    },
    {
        "type": "text",
        "text": "Teven Le Scao, Angela Fan, Christopher Akiki, Ellie Pavlick, Suzana Ilic, Daniel Hesslow, Roman ´ Castagné, Alexandra Sasha Luccioni, François Yvon, Matthias Gallé, et al. Bloom: A 176bparameter open-access multilingual language model. arXiv preprint arXiv:2211.05100, 2022. ",
        "bbox": [
            176,
            344,
            825,
            387
        ],
        "page_idx": 16
    },
    {
        "type": "text",
        "text": "Timo Schick, Sahana Udupa, and Hinrich Schütze. Self-diagnosis and self-debiasing: A proposal for reducing corpus-based bias in nlp. Transactions of the Association for Computational Linguistics, 9:1408–1424, 2021. ",
        "bbox": [
            174,
            395,
            825,
            438
        ],
        "page_idx": 16
    },
    {
        "type": "text",
        "text": "Thomas Scialom, Paul-Alexis Dray, Sylvain Lamprier, Benjamin Piwowarski, and Jacopo Staiano. MLSUM: The multilingual summarization corpus. In Proceedings of the 2020 Conference on Empirical Methods in Natural Language Processing (EMNLP), pp. 8051–8067, Online, November 2020. Association for Computational Linguistics. doi: 10.18653/v1/2020.emnlp-main.647. URL https://aclanthology.org/2020.emnlp-main.647. ",
        "bbox": [
            173,
            445,
            825,
            517
        ],
        "page_idx": 16
    },
    {
        "type": "text",
        "text": "Sheng Shen, Zhen Dong, Jiayu Ye, Linjian Ma, Zhewei Yao, Amir Gholami, Michael W Mahoney, and Kurt Keutzer. Q-bert: Hessian based ultra low precision quantization of bert. In Proceedings of the AAAI Conference on Artificial Intelligence, volume 34, pp. 8815–8821, 2020. ",
        "bbox": [
            174,
            523,
            825,
            568
        ],
        "page_idx": 16
    },
    {
        "type": "text",
        "text": "Emily Sheng, Kai-Wei Chang, P. Natarajan, and Nanyun Peng. Societal biases in language generation: Progress and challenges. In ACL, 2021. ",
        "bbox": [
            173,
            575,
            823,
            604
        ],
        "page_idx": 16
    },
    {
        "type": "text",
        "text": "Sam Shleifer, Jason Weston, and Myle Ott. Normformer: Improved transformer pretraining with extra normalization. arXiv preprint arXiv:2110.09456, 2021. ",
        "bbox": [
            173,
            613,
            825,
            642
        ],
        "page_idx": 16
    },
    {
        "type": "text",
        "text": "Mohammad Shoeybi, Mostofa Patwary, Raul Puri, Patrick LeGresley, Jared Casper, and Bryan Catanzaro. Megatron-lm: Training multi-billion parameter language models using model parallelism. arXiv preprint arXiv:1909.08053, 2019. ",
        "bbox": [
            176,
            650,
            823,
            693
        ],
        "page_idx": 16
    },
    {
        "type": "text",
        "text": "Shaden Smith, Mostofa Patwary, Brandon Norick, Patrick LeGresley, Samyam Rajbhandari, Jared Casper, Zhun Liu, Shrimai Prabhumoye, George Zerveas, Vijay Korthikanti, et al. Using deepspeed and megatron to train megatron-turing nlg 530b, a large-scale generative language model. arXiv preprint arXiv:2201.11990, 2022. ",
        "bbox": [
            173,
            700,
            825,
            757
        ],
        "page_idx": 16
    },
    {
        "type": "text",
        "text": "Aarohi Srivastava, Abhinav Rastogi, Abhishek Rao, Abu Awal Md Shoeb, Abubakar Abid, Adam Fisch, Adam R Brown, Adam Santoro, Aditya Gupta, Adrià Garriga-Alonso, et al. Beyond the imitation game: Quantifying and extrapolating the capabilities of language models. arXiv preprint arXiv:2206.04615, 2022. ",
        "bbox": [
            174,
            765,
            826,
            821
        ],
        "page_idx": 16
    },
    {
        "type": "text",
        "text": "Emma Strubell, Ananya Ganesh, and Andrew McCallum. Energy and policy considerations for deep learning in NLP. In Proceedings of the 57th Conference of the Association for Computational Linguistics, ACL 2019, Florence, Italy, July 28- August 2, 2019, Volume 1: Long Papers, pp. 3645–3650. Association for Computational Linguistics, 2019. ",
        "bbox": [
            173,
            830,
            825,
            887
        ],
        "page_idx": 16
    },
    {
        "type": "text",
        "text": "Jianlin Su, Yu Lu, Shengfeng Pan, Bo Wen, and Yunfeng Liu. Roformer: Enhanced transformer with rotary position embedding. arXiv preprint arXiv:2104.09864, 2021. ",
        "bbox": [
            174,
            895,
            821,
            924
        ],
        "page_idx": 16
    },
    {
        "type": "text",
        "text": "Alon Talmor, Jonathan Herzig, Nicholas Lourie, and Jonathan Berant. Commonsenseqa: A question answering challenge targeting commonsense knowledge. In Proceedings of the 2019 Conference of the North American Chapter of the Association for Computational Linguistics: Human Language Technologies, Volume 1 (Long and Short Papers), pp. 4149–4158, 2019. ",
        "bbox": [
            174,
            103,
            825,
            160
        ],
        "page_idx": 17
    },
    {
        "type": "text",
        "text": "Chaofan Tao, Lu Hou, Wei Zhang, Lifeng Shang, Xin Jiang, Qun Liu, Ping Luo, and Ngai Wong. Compression of generative pre-trained language models via quantization. In Proceedings of the 60th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers), pp. 4821–4836, 2022. ",
        "bbox": [
            173,
            171,
            825,
            227
        ],
        "page_idx": 17
    },
    {
        "type": "text",
        "text": "Romal Thoppilan, Daniel De Freitas, Jamie Hall, Noam Shazeer, Apoorv Kulshreshtha, Heng-Tze Cheng, Alicia Jin, Taylor Bos, Leslie Baker, Yu Du, et al. Lamda: Language models for dialog applications. arXiv preprint arXiv:2201.08239, 2022. ",
        "bbox": [
            176,
            238,
            823,
            281
        ],
        "page_idx": 17
    },
    {
        "type": "text",
        "text": "Denis Timonin, Bo Yang Hsueh, and Vinh Nguyen. Accelerated inference for large transformer models using nvidia triton inference server. NVIDIA blog, 2022. ",
        "bbox": [
            169,
            291,
            823,
            321
        ],
        "page_idx": 17
    },
    {
        "type": "text",
        "text": "Leslie G Valiant. A bridging model for parallel computation. Communications of the ACM, 33(8): 103–111, 1990. ",
        "bbox": [
            171,
            332,
            823,
            361
        ],
        "page_idx": 17
    },
    {
        "type": "text",
        "text": "Ashish Vaswani, Noam Shazeer, Niki Parmar, Jakob Uszkoreit, Llion Jones, Aidan N Gomez, Łukasz Kaiser, and Illia Polosukhin. Attention is all you need. Advances in neural information processing systems, 30, 2017. ",
        "bbox": [
            174,
            371,
            825,
            415
        ],
        "page_idx": 17
    },
    {
        "type": "text",
        "text": "David Wadden, Ulme Wennberg, Yi Luan, and Hannaneh Hajishirzi. Entity, relation, and event extraction with contextualized span representations. In Proceedings of the 2019 Conference on Empirical Methods in Natural Language Processing and the 9th International Joint Conference on Natural Language Processing (EMNLP-IJCNLP), pp. 5784–5789, 2019. ",
        "bbox": [
            173,
            425,
            825,
            483
        ],
        "page_idx": 17
    },
    {
        "type": "text",
        "text": "C. Walker and Linguistic Data Consortium. ACE 2005 Multilingual Training Corpus. Linguistic Data Consortium, 2005. ISBN 9781585633760. ",
        "bbox": [
            171,
            492,
            823,
            522
        ],
        "page_idx": 17
    },
    {
        "type": "text",
        "text": "Alex Wang, Yada Pruksachatkun, Nikita Nangia, Amanpreet Singh, Julian Michael, Felix Hill, Omer Levy, and Samuel R. Bowman. SuperGLUE: A Stickier Benchmark for General-Purpose Language Understanding Systems. In NeurIPS 2019, pp. 3261–3275, 2019. ",
        "bbox": [
            174,
            532,
            825,
            575
        ],
        "page_idx": 17
    },
    {
        "type": "text",
        "text": "Ben Wang and Aran Komatsuzaki. GPT-J-6B: A 6 Billion Parameter Autoregressive Language Model. https://github.com/kingoflolz/mesh-transformer-jax, May 2021. ",
        "bbox": [
            173,
            587,
            823,
            616
        ],
        "page_idx": 17
    },
    {
        "type": "text",
        "text": "Chenguang Wang, Xiao Liu, Zui Chen, Haoyun Hong, Jie Tang, and Dawn Song. Deepstruct: Pretraining of language models for structure prediction. In Findings of the Association for Computational Linguistics: ACL 2022, pp. 803–823, 2022a. ",
        "bbox": [
            176,
            626,
            820,
            670
        ],
        "page_idx": 17
    },
    {
        "type": "text",
        "text": "Hongyu Wang, Shuming Ma, Li Dong, Shaohan Huang, Dongdong Zhang, and Furu Wei. Deepnet: Scaling transformers to 1,000 layers. arXiv preprint arXiv:2203.00555, 2022b. ",
        "bbox": [
            169,
            680,
            823,
            709
        ],
        "page_idx": 17
    },
    {
        "type": "text",
        "text": "Shuohuan Wang, Yu Sun, Yang Xiang, Zhihua Wu, Siyu Ding, Weibao Gong, Shikun Feng, Junyuan Shang, Yanbin Zhao, Chao Pang, et al. Ernie 3.0 titan: Exploring larger-scale knowledge enhanced pre-training for language understanding and generation. arXiv preprint arXiv:2112.12731, 2021. ",
        "bbox": [
            174,
            719,
            825,
            776
        ],
        "page_idx": 17
    },
    {
        "type": "text",
        "text": "Wenhui Wang, Furu Wei, Li Dong, Hangbo Bao, Nan Yang, and Ming Zhou. Minilm: Deep selfattention distillation for task-agnostic compression of pre-trained transformers. Advances in Neural Information Processing Systems, 33:5776–5788, 2020. ",
        "bbox": [
            174,
            787,
            823,
            830
        ],
        "page_idx": 17
    },
    {
        "type": "text",
        "text": "Xuezhi Wang, Jason Wei, Dale Schuurmans, Quoc Le, Ed Chi, and Denny Zhou. Rationaleaugmented ensembles in language models. arXiv preprint arXiv:2207.00747, 2022c. ",
        "bbox": [
            169,
            842,
            823,
            871
        ],
        "page_idx": 17
    },
    {
        "type": "text",
        "text": "Jason Wei, Maarten Bosma, Vincent Zhao, Kelvin Guu, Adams Wei Yu, Brian Lester, Nan Du, Andrew M Dai, and Quoc V Le. Finetuned language models are zero-shot learners. In International Conference on Learning Representations, 2022a. ",
        "bbox": [
            174,
            881,
            825,
            924
        ],
        "page_idx": 17
    },
    {
        "type": "text",
        "text": "Jason Wei, Yi Tay, Rishi Bommasani, Colin Raffel, Barret Zoph, Sebastian Borgeaud, Dani Yogatama, Maarten Bosma, Denny Zhou, Donald Metzler, et al. Emergent abilities of large language models. arXiv preprint arXiv:2206.07682, 2022b. ",
        "bbox": [
            176,
            103,
            823,
            146
        ],
        "page_idx": 18
    },
    {
        "type": "text",
        "text": "Jason Wei, Xuezhi Wang, Dale Schuurmans, Maarten Bosma, Ed Chi, Quoc Le, and Denny Zhou. Chain of thought prompting elicits reasoning in large language models. arXiv preprint arXiv:2201.11903, 2022c. ",
        "bbox": [
            174,
            155,
            823,
            196
        ],
        "page_idx": 18
    },
    {
        "type": "text",
        "text": "Laura Weidinger, John Mellor, Maribeth Rauh, Conor Griffin, Jonathan Uesato, Po-Sen Huang, Myra Cheng, Mia Glaese, Borja Balle, Atoosa Kasirzadeh, et al. Ethical and social risks of harm from language models. arXiv preprint arXiv:2112.04359, 2021. ",
        "bbox": [
            173,
            205,
            823,
            250
        ],
        "page_idx": 18
    },
    {
        "type": "text",
        "text": "Shaohua Wu, Xudong Zhao, Tong Yu, Rongguo Zhang, Chong Shen, Hongli Liu, Feng Li, Hong Zhu, Jiangang Luo, Liang Xu, et al. Yuan 1.0: Large-scale pre-trained language model in zeroshot and few-shot learning. arXiv preprint arXiv:2110.04725, 2021. ",
        "bbox": [
            176,
            257,
            823,
            301
        ],
        "page_idx": 18
    },
    {
        "type": "text",
        "text": "Yongqin Xian, Christoph H Lampert, Bernt Schiele, and Zeynep Akata. Zero-shot learning—a comprehensive evaluation of the good, the bad and the ugly. IEEE transactions on pattern analysis and machine intelligence, 41(9):2251–2265, 2018. ",
        "bbox": [
            173,
            309,
            823,
            353
        ],
        "page_idx": 18
    },
    {
        "type": "text",
        "text": "Ruibin Xiong, Yunchang Yang, Di He, Kai Zheng, Shuxin Zheng, Chen Xing, Huishuai Zhang, Yanyan Lan, Liwei Wang, and Tieyan Liu. On layer normalization in the transformer architecture. In International Conference on Machine Learning, pp. 10524–10533. PMLR, 2020. ",
        "bbox": [
            174,
            361,
            823,
            405
        ],
        "page_idx": 18
    },
    {
        "type": "text",
        "text": "Liang Xu, Hai Hu, Xuanwei Zhang, Lu Li, Chenjie Cao, Yudong Li, Yechen Xu, Kai Sun, Dian Yu, Cong Yu, et al. Clue: A chinese language understanding evaluation benchmark. In Proceedings of the 28th International Conference on Computational Linguistics, pp. 4762–4772, 2020. ",
        "bbox": [
            174,
            412,
            823,
            457
        ],
        "page_idx": 18
    },
    {
        "type": "text",
        "text": "Liang Xu, Xiaojing Lu, Chenyang Yuan, Xuanwei Zhang, Huilin Xu, Hu Yuan, Guoao Wei, Xiang Pan, Xin Tian, Libo Qin, et al. Fewclue: A chinese few-shot learning evaluation benchmark. arXiv preprint arXiv:2107.07498, 2021. ",
        "bbox": [
            174,
            463,
            823,
            507
        ],
        "page_idx": 18
    },
    {
        "type": "text",
        "text": "Sha Yuan, Hanyu Zhao, Zhengxiao Du, Ming Ding, Xiao Liu, Yukuo Cen, Xu Zou, Zhilin Yang, and Jie Tang. Wudaocorpora: A super large-scale chinese corpora for pre-training language models. AI Open, 2:65–68, 2021. ",
        "bbox": [
            173,
            515,
            825,
            559
        ],
        "page_idx": 18
    },
    {
        "type": "text",
        "text": "Ofir Zafrir, Guy Boudoukh, Peter Izsak, and Moshe Wasserblat. Q8bert: Quantized 8bit bert. In 2019 Fifth Workshop on Energy Efficient Machine Learning and Cognitive Computing-NeurIPS Edition (EMC2-NIPS), pp. 36–39. IEEE, 2019. ",
        "bbox": [
            173,
            566,
            825,
            611
        ],
        "page_idx": 18
    },
    {
        "type": "text",
        "text": "Wei Zeng, Xiaozhe Ren, Teng Su, Hui Wang, Yi Liao, Zhiwei Wang, Xin Jiang, ZhenZhang Yang, Kaisheng Wang, Xiaoda Zhang, et al. Pangu- $\\cdot \\backslash \\alpha$ : Large-scale autoregressive pretrained chinese language models with auto-parallel computation. arXiv preprint arXiv:2104.12369, 2021. ",
        "bbox": [
            174,
            618,
            823,
            662
        ],
        "page_idx": 18
    },
    {
        "type": "text",
        "text": "Chiyuan Zhang, Daphne Ippolito, Katherine Lee, Matthew Jagielski, Florian Tramèr, and Nicholas Carlini. Counterfactual memorization in neural language models. CoRR, abs/2112.12938, 2021. ",
        "bbox": [
            174,
            670,
            823,
            700
        ],
        "page_idx": 18
    },
    {
        "type": "text",
        "text": "Susan Zhang, Stephen Roller, Naman Goyal, Mikel Artetxe, Moya Chen, Shuohui Chen, Christopher Dewan, Mona Diab, Xian Li, Xi Victoria Lin, et al. Opt: Open pre-trained transformer language models. arXiv preprint arXiv:2205.01068, 2022. ",
        "bbox": [
            174,
            708,
            823,
            751
        ],
        "page_idx": 18
    },
    {
        "type": "text",
        "text": "Yuhao Zhang, Victor Zhong, Danqi Chen, Gabor Angeli, and Christopher D. Manning. Positionaware attention and supervised data improve slot filling. In EMNLP, pp. 35–45, 2017. ",
        "bbox": [
            173,
            760,
            823,
            789
        ],
        "page_idx": 18
    },
    {
        "type": "text",
        "text": "Ben Zhou, Daniel Khashabi, Qiang Ning, and Dan Roth. “going on a vacation” takes longer than “going for a walk”: A study of temporal commonsense understanding. In Proceedings of the 2019 Conference on Empirical Methods in Natural Language Processing and the 9th International Joint Conference on Natural Language Processing (EMNLP-IJCNLP), pp. 3363–3369, 2019. ",
        "bbox": [
            173,
            797,
            826,
            853
        ],
        "page_idx": 18
    },
    {
        "type": "text",
        "text": "Chen Zhu, Ankit Singh Rawat, Manzil Zaheer, Srinadh Bhojanapalli, Daliang Li, Felix X. Yu, and Sanjiv Kumar. Modifying memories in transformer models. CoRR, abs/2012.00363, 2020. ",
        "bbox": [
            174,
            863,
            825,
            892
        ],
        "page_idx": 18
    },
    {
        "type": "text",
        "text": "Part I ",
        "text_level": 1,
        "bbox": [
            174,
            99,
            236,
            118
        ],
        "page_idx": 19
    },
    {
        "type": "text",
        "text": "Appendix ",
        "text_level": 1,
        "bbox": [
            176,
            131,
            316,
            159
        ],
        "page_idx": 19
    },
    {
        "type": "text",
        "text": "Table of Contents ",
        "text_level": 1,
        "bbox": [
            174,
            184,
            352,
            203
        ],
        "page_idx": 19
    },
    {
        "type": "text",
        "text": "A Ethics: Evaluation on Biases and Toxicity 21 ",
        "text_level": 1,
        "bbox": [
            214,
            210,
            787,
            224
        ],
        "page_idx": 19
    },
    {
        "type": "text",
        "text": "A.1 Bias Measurement: CrowS-Pairs 21   \nA.2 Bias Measurement: StereoSet 21   \nA.3 Hate Speech Detection: ETHOS 22   \nA.4 Toxic Genearation: RealToxicPrompts 22 ",
        "bbox": [
            235,
            227,
            785,
            286
        ],
        "page_idx": 19
    },
    {
        "type": "text",
        "text": "B Technical Details 23 ",
        "text_level": 1,
        "bbox": [
            212,
            300,
            785,
            313
        ],
        "page_idx": 19
    },
    {
        "type": "text",
        "text": "B.1 Tokenization 23   \nB.2 Layer Normalization 24   \nB.3 Positional Encoding and Feed-forward Network 24   \nB.4 Pipeline Parallel Analysis 25   \nB.5 Inference Acceleration . 27   \nB.6 Activation Outlier Analysis 27   \nB.7 Weight Quantization . 28   \nB.8 Quantization settings 28   \nB.9 Ablation on Contribution Attribution 29   \nB.10 Lessons Learned 30 ",
        "bbox": [
            235,
            315,
            787,
            467
        ],
        "page_idx": 19
    },
    {
        "type": "text",
        "text": "C Dataset and Evaluation Details 32 ",
        "text_level": 1,
        "bbox": [
            214,
            478,
            790,
            493
        ],
        "page_idx": 19
    },
    {
        "type": "text",
        "text": "C.1 Multi-task Instruction Pre-training (MIP) 32   \nC. Data and prompts in MIP for DeepStruct 32   \nC. Result Sources for GPT-3, BLOOM-176B, and OPT-175B 39   \n. Pile Test-set Evaluation 39   \nC. BIG-bench-lite Evaluation 40   \nC.6 MMLU Evaluation 40   \nChinese Language Understanding Evaluation 40   \nC.8 Natural Language Generation 41   \nC.9 Winograd-Style Tasks 43   \nC.10 Closed-book Question Answering 43   \nC.11 Commonsense Reasoning 44   \nC.12 Fixed Label Datasets: A Case Study in Natural Language Inference 44   \nC.13 SuperGLUE 44   \nC.14 Chain-of-Thought Prompting 45 ",
        "bbox": [
            235,
            496,
            787,
            709
        ],
        "page_idx": 19
    },
    {
        "type": "text",
        "text": "D Scaling and Emergent Abilities in GLM-130B 46 ",
        "text_level": 1,
        "bbox": [
            204,
            722,
            785,
            734
        ],
        "page_idx": 19
    },
    {
        "type": "text",
        "text": "E Contributions 52 ",
        "text_level": 1,
        "bbox": [
            210,
            750,
            787,
            762
        ],
        "page_idx": 19
    },
    {
        "type": "text",
        "text": "E.1 Preparation 52   \nE.2 Model Training 52   \nE.3 Post Training 52   \nE.4 Project Management . 52   \nE.5 Computation Sponsor 52 ",
        "bbox": [
            235,
            765,
            787,
            840
        ],
        "page_idx": 19
    },
    {
        "type": "text",
        "text": "F A Brief History of GLM-130B 53 ",
        "text_level": 1,
        "bbox": [
            214,
            852,
            784,
            866
        ],
        "page_idx": 19
    },
    {
        "type": "text",
        "text": "G Broader Impact ",
        "text_level": 1,
        "bbox": [
            214,
            880,
            338,
            892
        ],
        "page_idx": 19
    },
    {
        "type": "text",
        "text": "5 ",
        "text_level": 1,
        "bbox": [
            238,
            878,
            776,
            891
        ],
        "page_idx": 19
    },
    {
        "type": "text",
        "text": "G.1 Impact on AI Research 55   \nG.2 Impact on Individual Developers and Small Companies . 55 ",
        "bbox": [
            230,
            895,
            787,
            924
        ],
        "page_idx": 19
    },
    {
        "type": "text",
        "text": "A ETHICS: EVALUATION ON BIASES AND TOXICITY ",
        "text_level": 1,
        "bbox": [
            176,
            184,
            620,
            200
        ],
        "page_idx": 20
    },
    {
        "type": "text",
        "text": "Albeit LLMs’ strong abilities in language and beyond, which could bring substantial welfare to human beings, they can potentially produce toxic and illegal contents for evil use (Weidinger et al., 2021; Sheng et al., 2021; Dev et al., 2021; Bommasani et al., 2021). In GLM-130B, before granting model weight to applicants, in the model license we demand them to agree that they will not use it for any deeds that may be harmful to society and human beings. ",
        "bbox": [
            174,
            215,
            825,
            285
        ],
        "page_idx": 20
    },
    {
        "type": "text",
        "text": "Additionally, from a technical perspective, we argue that we must also understand LLMs’ toxic and biased behaviors and ultimately eliminate them. This aligns with our commitment to “LLM Inclusivity”, as it is necessary to include more people in the open-sourced LLM research to facilitate the process. Moreover, if an LLM is shown to be good at identifying toxic and biased content, techniques such as self-diagnoses (Schick et al., 2021) can help to reduce the harmful generation in a self-consistent post-processing procedure. Therefore, as an initial step, we evaluate GLM130B over a variety of related benchmarks to shed light on the challenging topic. Despite their limitations (Blodgett et al., 2021; Jacobs & Wallach, 2021) which should be addressed in future work, they still serve as a good start to arouse the community’s awareness of the problem. ",
        "bbox": [
            174,
            292,
            825,
            417
        ],
        "page_idx": 20
    },
    {
        "type": "text",
        "text": "A.1 BIAS MEASUREMENT: CROWS-PAIRS ",
        "text_level": 1,
        "bbox": [
            176,
            434,
            478,
            448
        ],
        "page_idx": 20
    },
    {
        "type": "text",
        "text": "CrowS-Pairs (Nangia et al., 2020), or namely Crowdsourced Stereotype Pairs benchmark, is widely used for measuring biases for masked language models. It collects 1508 examples with nine different conventional biases and adopts a probing-based approach to compare the pseudolog-likelihood of a pair of stereotypical and antistereotypical sentences. Since GLM-130B is pre-trained with autoregressive blanking infilling, CrowS-Pairs evaluation is directly applicable. We compare the GPT-3 Davinci and OPT-175B’s results on CrowS-Pairs reported in (Zhang et al., 2022) with GLM-130B. ",
        "bbox": [
            176,
            460,
            491,
            640
        ],
        "page_idx": 20
    },
    {
        "type": "table",
        "img_path": "images/ffb552451ea3b8dfe682691748d9c5d4d1e14ba51fce85dcca656dfcec58d90e.jpg",
        "table_caption": [
            "Table 5: CrowS-Pairs (Nangia et al., 2020) Bias Measurement. The lower scores the better. "
        ],
        "table_footnote": [],
        "table_body": "<table><tr><td>Category GPT-3 OPT-175B GLM-130B</td></tr><tr><td>Gender 62.6</td><td>65.7 55.7</td></tr><tr><td>Religion 73.3</td><td>68.6 73.3</td></tr><tr><td>Race/Color 64.7</td><td>68.6 58.5</td></tr><tr><td>Sexual orientation 76.2</td><td>78.6 60.7</td></tr><tr><td>Age 64.4</td><td>67.8 63.2</td></tr><tr><td>Nationality 61.6</td><td>62.9 64.1</td></tr><tr><td>Disability 76.7</td><td>76.7 71.6</td></tr><tr><td>Physical appearance 74.6</td><td>76.2 74.6</td></tr><tr><td>Socioeconomic status 73.8</td><td>76.2 70.9</td></tr><tr><td>Overall 67.2</td><td>69.5 65.8</td></tr></table>",
        "bbox": [
            504,
            473,
            821,
            636
        ],
        "page_idx": 20
    },
    {
        "type": "text",
        "text": "Our results are presented in Table 5. GLM-130B shows fewer biases on almost all kinds of stereotypes except for religion and nationality. We speculate that it is because GLM-130B is a bilingual pre-trained LLM that learns the semantics for certain content from both English and Chinese corpora. Since CrowsS-Pairs’ stereotypes mainly draw from the US Equal Employment Opportunities Commission’s $\\operatorname { l i s t } ^ { 2 }$ , the bias distributions in two different cultures and languages may be different and consequently reconcile social biases in GLM-130B on a benchmark originally designed for English-language society. We think this is an interesting finding, as multi-lingual pre-training may help LLMs to present less harmful biases for better fairness. Finally, we also admit that GLM130B may in turn presents some special Chinese biases which currently lack testing benchmarks and require considerable future efforts to detect and prevent. ",
        "bbox": [
            174,
            647,
            825,
            786
        ],
        "page_idx": 20
    },
    {
        "type": "text",
        "text": "A.2 BIAS MEASUREMENT: STEREOSET ",
        "text_level": 1,
        "bbox": [
            176,
            804,
            460,
            818
        ],
        "page_idx": 20
    },
    {
        "type": "text",
        "text": "Another widely used bias and stereotype evaluation benchmark is StereoSet (Nadeem et al., 2021), which is also adopted in (Lieber et al., 2021; Artetxe et al., 2021; Zhang et al., 2022). To balance the evaluation between bias detecting and language modeling quality, StereoSet reports a series of metrics including Language Modeling Scores (LMS), Stereotype Score (SS), and Idealized Context Association Test Score (ICAT) as an overall averaged metric. For example, given the premise “She is the twin’s mother”, StereoSet provides three candidate hypothesis: 1) “the water is deep”, 2) “she is a lazy, unkind person”, and 3) “she is a kind, caring woman”. The first option servers as a distractor to test models’ language capability and calculate LMS; the second and third statements are anti-stereotypical and stereotypical respectively and used for calculating SS. A widely-adopted technique here is to calibrate the likelihood of an option according to its length (Lieber et al., 2021; Zhang et al., 2022), as the distractor term is particularly short. ",
        "bbox": [
            176,
            829,
            825,
            900
        ],
        "page_idx": 20
    },
    {
        "type": "text",
        "text": "",
        "bbox": [
            174,
            103,
            825,
            188
        ],
        "page_idx": 21
    },
    {
        "type": "text",
        "text": "Following (Zhang et al., 2022), we normalize scores over tokens rather than characters (Lieber et al., 2021) to yield model predictions for calculating the metrics. The results are shown in Table 6. As we observe, GLM-130B exceedingly outperforms GPT-3 Davinci and OPT-175B on all metrics. Such results accurately align with our discoveries in language modeling experiments and CrowS-Pairs bias evaluation, that GLM-130B has a high quality in both language modeling and social fairness. ",
        "bbox": [
            174,
            194,
            825,
            263
        ],
        "page_idx": 21
    },
    {
        "type": "table",
        "img_path": "images/074722f226828fbedadb3f634d27bfadfa9265acdf01ba18f2d16f46f3292997.jpg",
        "table_caption": [
            "Table 6: StereoSet (Nadeem et al., 2021) Bias Measurement with LMS (↑), SS (↓), and ICAT (↑). "
        ],
        "table_footnote": [],
        "table_body": "<table><tr><td rowspan=\"2\">Category</td><td colspan=\"3\">Profession</td><td colspan=\"3\">Gender</td><td colspan=\"3\">Religion</td><td colspan=\"3\">Race</td><td colspan=\"3\">Overall</td></tr><tr><td>LMS</td><td>ss</td><td>ICAT</td><td>LMS</td><td>SS</td><td>ICAT</td><td>LMS</td><td>ss</td><td>ICAT</td><td>LMS</td><td>Ss</td><td>ICAT</td><td>LMS</td><td>ss</td><td>ICAT</td></tr><tr><td>GPT-3</td><td>78.4</td><td>63.4</td><td>57.5</td><td>75.6</td><td>66.5</td><td>50.6</td><td>80.8</td><td>59.0</td><td>66.3</td><td>77.0</td><td>57.4</td><td>65.7</td><td>77.6</td><td>60.8</td><td>60.8</td></tr><tr><td>OPT-175B</td><td>74.1</td><td>62.6</td><td>55.4</td><td>74.0</td><td>63.6</td><td>53.8</td><td>84.0</td><td>59.0</td><td>68.9</td><td>74.9</td><td>56.8</td><td>64.8</td><td>74.8</td><td>59.9</td><td>60.0</td></tr><tr><td>GLM-130B</td><td>86.5</td><td>59.6</td><td>69.9</td><td>83.9</td><td>63.5</td><td>61.2</td><td>91.0</td><td>53.5</td><td>84.6</td><td>85.7</td><td>54.1</td><td>78.7</td><td>86.0</td><td>57.3</td><td>73.5</td></tr></table>",
        "bbox": [
            173,
            292,
            821,
            378
        ],
        "page_idx": 21
    },
    {
        "type": "text",
        "text": "A.3 HATE SPEECH DETECTION: ETHOS ",
        "text_level": 1,
        "bbox": [
            176,
            392,
            470,
            407
        ],
        "page_idx": 21
    },
    {
        "type": "text",
        "text": "Social media corpus may contain hate speeches, and to investigate to what extent LLMs know and can help to identify them is crucial. We adopt the ETHOS dataset originally proposed in (Mollas et al., 2020) to detect sexism and racism speech on zero-shot or few-shot datasets created by (Chiu & Alexander, 2021). GPT-3 Davinci (a public-accessible variant of GPT-3 175B) and OPT 175B are also tested on the benchmark (whose results are reported in (Zhang et al., 2022)). For binary classification including Zero-shot, One-shot, and Few-shot (binary) (which answers “yes” or “no”), we report binary F1; for multiclass classification (which answers “yes”, “no”, or “neither”), we report micro F1. We adopt almost the same prompts as in (Chiu & Alexander, 2021), except aligning the Few-shot (binary) prompt to the form used in One-shot and adding the word “Classification” before the colon in the original Few-shot (multiclass) prompt. ",
        "bbox": [
            173,
            419,
            825,
            558
        ],
        "page_idx": 21
    },
    {
        "type": "text",
        "text": "Results are shown in Table 7. We find that GLM-130B outperforms two other LLMs among four different settings. On one hand, GLM130B’s pre-training over unsupervised diverse corpora from online forums and social media including sections such as “hackernews”, “stackexchange”, and “pile_cc” can endow our model with the background knowledge to identify those speeches. On the other hand, the MIP training may also improve GLM-130B’s zero-shot and few-shot capabilities. ",
        "bbox": [
            174,
            564,
            491,
            717
        ],
        "page_idx": 21
    },
    {
        "type": "text",
        "text": "Table 7: ETHOS (Mollas et al., 2020) Hate speech detection. “(bi)” and “(mul)” denote binary and multiclass classification respectively. All scores are F1 and the higher the better. ",
        "bbox": [
            504,
            564,
            823,
            619
        ],
        "page_idx": 21
    },
    {
        "type": "table",
        "img_path": "images/eed18b33148c91c98f80a02a48e8ded0d8e6111e7a94a7db61a719b27f8d3380.jpg",
        "table_caption": [],
        "table_footnote": [],
        "table_body": "<table><tr><td>GPT-3</td><td>OPT-175B</td><td>GLM-130B</td></tr><tr><td>Zero-shot</td><td>66.7</td><td>68.8</td></tr><tr><td>One-shot</td><td>71.3</td><td>79.1</td></tr><tr><td>Few-shot (bi)</td><td>75.9</td><td>79.7</td></tr><tr><td>35.4 Few-shot (mul) 67.2</td><td>81.2</td><td>85.8</td></tr></table>",
        "bbox": [
            509,
            631,
            816,
            712
        ],
        "page_idx": 21
    },
    {
        "type": "text",
        "text": "A.4 TOXIC GENEARATION: REALTOXICPROMPTS ",
        "text_level": 1,
        "bbox": [
            174,
            734,
            531,
            748
        ],
        "page_idx": 21
    },
    {
        "type": "text",
        "text": "Evaluating the toxicity of generation by given prompts is an important part of a model’s safe deployment. We evaluate the toxic generation of GLM-130B on the RealToxicPrompts (Gehman et al., 2020) dataset. Following its settings, we use nucleus sampling $( p = 0 . 9 $ ) to generate 25 continuations for each of the 10K random sampled prompts, limiting the maximum generated length to 128 tokens. Then we report the mean toxicity probabilities of 25 continuations evaluated by Perspective $\\mathrm { A P I } ^ { 3 }$ . In order to make a fair comparison ",
        "bbox": [
            174,
            761,
            529,
            900
        ],
        "page_idx": 21
    },
    {
        "type": "image",
        "img_path": "images/08773a74b3cd771639013ca94c05ccd8eeccf3abb07ec9d9a9a95bd17e6f5871.jpg",
        "image_caption": [
            "Figure 9: RealToxicPrompts (Gehman et al., 2020) evaluation. Lower continuation toxicity probability is better. "
        ],
        "image_footnote": [],
        "bbox": [
            544,
            731,
            823,
            873
        ],
        "page_idx": 21
    },
    {
        "type": "image",
        "img_path": "images/c67c925396528fc4c06822d4368a2a80da44553e5b09b35c0d856a9a9173b334.jpg",
        "image_caption": [
            "Figure 10: Handling training collapses and instability is the first priority when training LLMs. "
        ],
        "image_footnote": [],
        "bbox": [
            174,
            102,
            823,
            477
        ],
        "page_idx": 22
    },
    {
        "type": "text",
        "text": "under different tokenization methods, we only report   \nthe toxicity score of the first complete sentence of a   \ncontinuation as we found that the score returned by the Perspective API seems to increase with sentence length. ",
        "bbox": [
            174,
            534,
            825,
            590
        ],
        "page_idx": 22
    },
    {
        "type": "text",
        "text": "Results are shown in Figure 9. Generally, as the toxicity of the given prompt increases, the toxicity probability of the continuation increases accordingly in both models. Compared to GPT-3 Davinci, GLM-130B has a lower toxicity rate in all cases, indicating that GLM-130B is less prone to generating toxic content. ",
        "bbox": [
            174,
            597,
            825,
            654
        ],
        "page_idx": 22
    },
    {
        "type": "text",
        "text": "B TECHNICAL DETAILS ",
        "text_level": 1,
        "bbox": [
            176,
            675,
            387,
            691
        ],
        "page_idx": 22
    },
    {
        "type": "text",
        "text": "In this section, we introduce additional details about the technical issues we have identified and solved throughout the GLM-130B training. Along with concurrent open-source LLM efforts, we believe that those published details could serve as great cornerstones to future LLM training. ",
        "bbox": [
            174,
            708,
            825,
            751
        ],
        "page_idx": 22
    },
    {
        "type": "text",
        "text": "B.1 TOKENIZATION ",
        "text_level": 1,
        "bbox": [
            176,
            770,
            325,
            784
        ],
        "page_idx": 22
    },
    {
        "type": "text",
        "text": "For the tokenization of the corpus, we implement a text tokenizer based on the package icetk with several adjustments. As an image-text unified tokenizer, the vocabulary size of icetk is 150000. The first 20000 tokens are image tokens and the rest are text tokens. The text tokenizer of icetk is formulated and trained by sentencepiece4, on a 25GB bilingual corpus equally distributed with English and Chinese contents. We divide tokens recognized by the tokenizer into four categories. The common tokens are assigned from No.20000 to No.20099, consisting of punctuations, numbers and spaces free of extended definition. No.20100 to No.83822 are English tokens and No.83823 to ",
        "bbox": [
            174,
            796,
            825,
            895
        ],
        "page_idx": 22
    },
    {
        "type": "text",
        "text": "No.145653 are Chinese tokens. Tokens after No.145653 are other special tokens including concatenated punctuations and pieces from other languages, etc. ",
        "bbox": [
            173,
            103,
            821,
            132
        ],
        "page_idx": 23
    },
    {
        "type": "text",
        "text": "During our implementation, We ignore the first 20000 image tokens and simply utilize the latter 130000 intended for text tokenization. we disable the ignoring of linebreak to tokenize the linebreak mark \\n into No. 20004 token $< \\mathrm { n } >$ . On the basis of inherent tokens, we add special tokens [MASK] and [gMASK] for model prediction. We also add special tokens ${ < S \\mathrm { O p } > }$ , <eop>, <eos> for sentence and passage separation. ",
        "bbox": [
            174,
            138,
            823,
            208
        ],
        "page_idx": 23
    },
    {
        "type": "text",
        "text": "B.2 LAYER NORMALIZATION ",
        "text_level": 1,
        "bbox": [
            174,
            224,
            390,
            239
        ],
        "page_idx": 23
    },
    {
        "type": "text",
        "text": "Here we briefly introduce the history of layer normalization in language modeling problems, and how its variants perform in recent LLMs including our experiments for them on GLM-130B. ",
        "bbox": [
            173,
            251,
            823,
            280
        ],
        "page_idx": 23
    },
    {
        "type": "text",
        "text": "Post-LN (Vaswani et al., 2017). Post-LN is jointly proposed with the transformer architecture and is placed between the residual blocks. It is then adopted by BERT (Devlin et al., 2019) for bidirectional language model pre-training. Nevertheless, Post-LN was later accused of transformers’ slow and vulnerable converging (Xiong et al., 2020) and the Pre-LN emerged as a substitute. ",
        "bbox": [
            174,
            286,
            825,
            343
        ],
        "page_idx": 23
    },
    {
        "type": "text",
        "text": "Pre-LN (Xiong et al., 2020). On the contrary, Pre-LN is located in the residual blocks to reduce exploding gradients and becomes dominant in existing language models, including all recent LLMs. However, OPT-175B (Zhang et al., 2022), BLOOM (Scao et al., 2022), and text-to-image model CogView Ding et al. (2021) later observe that Pre-LN is still unable to handle the vulnerable training when models scale up to 100B or meet multi-modal data. This is also justified in GLM-130B’s preliminary experiments, where Pre-LN consistently crashes in its early stage training. ",
        "bbox": [
            173,
            349,
            825,
            434
        ],
        "page_idx": 23
    },
    {
        "type": "text",
        "text": "Additionally, another problem rooted in Pre-LN transformers is that it may harm the model performance after tuning compared to Post-LN. This is observed in (He et al., 2021). ",
        "bbox": [
            171,
            439,
            820,
            468
        ],
        "page_idx": 23
    },
    {
        "type": "text",
        "text": "Sandwich-LN (Ding et al., 2021). As a remedy, on top of Pre-LN, CogView (later in Normformer (Shleifer et al., 2021)) develops Sandwich-LN which appends extra normalization to the end of each residual branch. Accompanied with PB-Relax (Precision-Bottleneck Relaxation) techniques, they stabilize the training of a 4-billion text-to-image generation model. Despite its superiority over Pre-LN, sadly Sandwich-LN is also proved to collapse in GLM-130B training; let alone the potential consequent weaker tuning performance caused by its Pre-LN nature. ",
        "bbox": [
            173,
            474,
            825,
            559
        ],
        "page_idx": 23
    },
    {
        "type": "text",
        "text": "B.3 POSITIONAL ENCODING AND FEED-FORWARD NETWORK ",
        "text_level": 1,
        "bbox": [
            173,
            575,
            612,
            590
        ],
        "page_idx": 23
    },
    {
        "type": "text",
        "text": "Positional Encoding Vanilla transformer adopts absolute (or sinuous) position encoding, and is later evolved into relative positional encoding (Dai et al., 2019). Relative PEs can capture word relevance better than absolute positional encoding. Rotary Positional Embedding (RoPE) (Su et al., 2021) is a relative position encoding implemented in the form of absolute position encoding, and its core idea is shown in the following equation. ",
        "bbox": [
            173,
            602,
            825,
            671
        ],
        "page_idx": 23
    },
    {
        "type": "equation",
        "img_path": "images/7c39b448c929c0ce05529312005fb62c9869e153cab7f74f6aa516197f78ccb3.jpg",
        "text": "$$\n\\left( \\pmb { R _ { m } q } \\right) ^ { \\top } \\left( \\pmb { R _ { n } k } \\right) = q ^ { \\top } \\pmb { R _ { m } ^ { \\top } \\pmb { R _ { n } k } } = q ^ { \\top } \\pmb { R _ { n - m } k }\n$$",
        "text_format": "latex",
        "bbox": [
            348,
            678,
            650,
            698
        ],
        "page_idx": 23
    },
    {
        "type": "text",
        "text": "The product of $q$ at position $m$ and $k$ at position $n$ is related to their distance $n - m$ , which reflects the relativity of the position encoding. The definition of $\\pmb { R }$ in the above equation is ",
        "bbox": [
            171,
            712,
            823,
            741
        ],
        "page_idx": 23
    },
    {
        "type": "equation",
        "img_path": "images/15bfbab5f50ac332839b347a3ee762c3b49ac9e470a27caf5cbea359ec1d77a1.jpg",
        "text": "$$\n\\pmb { R _ { \\theta , m } ^ { d } } = \\left( \\begin{array} { c c c c c c c c } { \\cos m \\theta _ { 1 } } & { - \\sin m \\theta _ { 1 } } & { 0 } & { 0 } & { \\cdots } & { 0 } & { 0 } \\\\ { \\sin m \\theta _ { 1 } } & { \\cos m \\theta _ { 1 } } & { 0 } & { 0 } & { \\cdots } & { 0 } & { 0 } \\\\ { 0 } & { 0 } & { \\cos m \\theta _ { 2 } } & { - \\sin m \\theta _ { 2 } } & { \\cdots } & { 0 } & { 0 } \\\\ { 0 } & { 0 } & { \\sin m \\theta _ { 2 } } & { \\cos m \\theta _ { 2 } } & { \\cdots } & { 0 } & { 0 } \\\\ { \\vdots } & { \\vdots } & { \\vdots } & { \\vdots } & { \\ddots } & { \\vdots } & { \\vdots } \\\\ { 0 } & { 0 } & { 0 } & { 0 } & { \\cdots } & { \\cos m \\theta _ { d / 2 } } & { - \\sin m \\theta _ { d / 2 } } \\\\ { 0 } & { 0 } & { 0 } & { 0 } & { \\cdots } & { \\sin m \\theta _ { d / 2 } } & { \\cos m \\theta _ { d / 2 } } \\end{array} \\right) .\n$$",
        "text_format": "latex",
        "bbox": [
            181,
            746,
            797,
            861
        ],
        "page_idx": 23
    },
    {
        "type": "text",
        "text": "To allow its value to decay as the distance increases, $\\theta$ takes the value ",
        "bbox": [
            174,
            872,
            630,
            887
        ],
        "page_idx": 23
    },
    {
        "type": "equation",
        "img_path": "images/b021461a2b5904156e6410fd967e6010763dcac7ad5bc405b2f767265ae20292.jpg",
        "text": "$$\n\\theta = \\left. \\theta _ { i } = 1 0 0 0 0 ^ { \\frac { - 2 ( i - 1 ) } { d } } , \\quad i \\in \\left[ 1 , 2 , \\cdots , { \\frac { d } { 2 } } \\right] \\right.\n$$",
        "text_format": "latex",
        "bbox": [
            338,
            893,
            658,
            929
        ],
        "page_idx": 23
    },
    {
        "type": "text",
        "text": "A two-dimensional absolute position encoding method is proposed in vanilla GLM for modeling both intra- and inter-span position information. In GLM-130B, different from the two-dimensional positional encoding used in vanilla GLM, we turn back to conventional one-dimensional positional encoding. However, we originally thought that two-dimensional form cannot be directly applied to $\\mathrm { R o P E } ^ { 5 }$ . As a substitute plan, in GLM-130B we simply remove the second dimension used in the original GLM as we find that the unidirectional attention mask sub-matrices for [MASK] generation indicate the token order as well. This observation results in our transforming GLM-130B’s positional encoding into a one-dimensional one according to the following strategies: ",
        "bbox": [
            173,
            103,
            825,
            215
        ],
        "page_idx": 24
    },
    {
        "type": "text",
        "text": "• For sequences corrupted by short spans, we discard the second-dimensional position encoding. • For sequences corrupted by a long span at the end, we change the positional ids to one-dimensional $0 , 1 , \\cdots , s - 1$ , and generated tokens will just prolong the first-dimensional positional encoding from the last context token $s - 1$ . ",
        "bbox": [
            173,
            222,
            825,
            280
        ],
        "page_idx": 24
    },
    {
        "type": "text",
        "text": "Feed-forward Network Some recent efforts to improve transformer architecture have been on the FFN, including replacing it with GLU (adopted in PaLM). Research shows that using GLU can improve model performance, which is consistent with our experimental results (Cf. Table 8). Specifically, we use GLU with the GeLU (Hendrycks & Gimpel, 2016) activation. as ",
        "bbox": [
            173,
            295,
            825,
            352
        ],
        "page_idx": 24
    },
    {
        "type": "equation",
        "img_path": "images/22107530ea396a9bd3fe7f93edafd226368fa4aaa293e3a49bc70bcac9249739.jpg",
        "text": "$$\n\\operatorname { F F N } _ { \\operatorname { G e G L U } } \\left( \\pmb { x } ; W _ { 1 } , V , W _ { 2 } \\right) = \\left( \\operatorname { G e L U } ( \\pmb { x } W _ { 1 } ) \\otimes \\pmb { x } V \\right) W _ { 2 }\n$$",
        "text_format": "latex",
        "bbox": [
            302,
            358,
            696,
            377
        ],
        "page_idx": 24
    },
    {
        "type": "text",
        "text": "In order to keep the same parameter as the vanilla FFN, the feed-forward size $d _ { \\mathrm { { f f n } } }$ (which is usually $4 d _ { \\mathrm { H } }$ , where $d _ { \\mathrm { H } }$ is the hidden dimension) is reduced to $\\textstyle { \\frac { 8 } { 3 } } d _ { \\mathrm { H } }$ as the $V$ is additionally introduced. ",
        "bbox": [
            173,
            390,
            823,
            420
        ],
        "page_idx": 24
    },
    {
        "type": "table",
        "img_path": "images/92edee97bab72c732d5eda0392648a0731ea41aa35f65c49d87dea104309d28a.jpg",
        "table_caption": [
            "Table 8: Ablation Study for PE and FFN on $\\mathrm { G L M _ { B a s e } }$ "
        ],
        "table_footnote": [],
        "table_body": "<table><tr><td>Model</td><td>Test PPL</td></tr><tr><td>GLMBase</td><td>24.58</td></tr><tr><td>+ ALiBi</td><td>24.14</td></tr><tr><td>+RoPE</td><td>22.95</td></tr><tr><td>+RoPE+GeGLU</td><td>22.31</td></tr></table>",
        "bbox": [
            622,
            473,
            813,
            560
        ],
        "page_idx": 24
    },
    {
        "type": "text",
        "text": "Ablation Study on PE and FFN In order to validate our PE and FFN choices, we test them in our experiments by pre-training $\\mathrm { G L M _ { B a s e } }$ (110M) over a random 50G Chinese and English mixed corpus. We compare absolute PE with two recent popular relative PE variants, RoPE (Chowdhery et al., 2022) and ALiBi (Press et al., 2021). For FFN, we compare vanilla FFN with Gate Linear Unit with GeLU activations. Results from Table 8 show that both ALiBi and RoPE improve perplexity on the test set, and the improvement is more significant with RoPE while using GeGLU can further improve the model’s performance. ",
        "bbox": [
            174,
            434,
            599,
            574
        ],
        "page_idx": 24
    },
    {
        "type": "text",
        "text": "B.4 PIPELINE PARALLEL ANALYSIS",
        "text_level": 1,
        "bbox": [
            176,
            590,
            434,
            604
        ],
        "page_idx": 24
    },
    {
        "type": "text",
        "text": "In pipeline parallelism, each stage consists of three operations (Cf. Figure 11(a)): forward (denoted as F), backward (denoted as B), and optimizer step (denoted as U). However, naive sequential pipeline implementation leads to an unbearable amount of bubbles. The improved Gpipe (Huang et al., 2019) (Cf. Figure 11(b)) strategy reduces bubbles drastically via splitting data into microbatches; the more micro-batches there are, the more stages can compute simultaneously in an iteration. The recent PipeDream-Flush (Narayanan et al., 2021) (Cf. Figure 11(c)) additionally optimizes the GPU memory usage by interweaving forward and backward from different stages to reduce forward activation’s memory occupation. ",
        "bbox": [
            173,
            616,
            825,
            728
        ],
        "page_idx": 24
    },
    {
        "type": "text",
        "text": "We analyze the bubble share in GLM-130B’s pre-training by assuming that the number of pipeline segments is $p$ , the number of micro-batches is $m$ , and the time for forward and backward per microbatch are $t _ { f }$ and $t _ { b }$ . In ideal case, forward and backward take $t _ { \\mathrm { i d e a l } } = m ( t _ { f } + t _ { b } )$ . But in practice, the default pipeline delivery strategy causes $p - 1$ forward propagation and $p - 1$ backward propagation bubbles, respectively, for a total time of ${ \\bar { t } } _ { \\mathrm { b u b b l e } } = ( p - 1 ) { \\bar { ( } } t _ { f } ^ { - } + t _ { b } )$ , so that the bubble occupancy is ",
        "bbox": [
            174,
            734,
            825,
            806
        ],
        "page_idx": 24
    },
    {
        "type": "equation",
        "img_path": "images/3847be85aa99a1ae5867e02f7a85163641f628ae0115601a81c7a78273c81d30.jpg",
        "text": "$$\n\\mathrm { \\ b u b b l e - r a t i o } = { \\frac { t _ { \\mathrm { b u b b l e } } } { t _ { \\mathrm { i d e a l } } + t _ { \\mathrm { b u b b l e } } } } = { \\frac { p - 1 } { m + p - 1 } }\n$$",
        "text_format": "latex",
        "bbox": [
            346,
            813,
            650,
            844
        ],
        "page_idx": 24
    },
    {
        "type": "text",
        "text": "For larger numbers of micro-batches, the bubble percentage will be reduced to an acceptable level. In particular, experiments in GPipe Huang et al. (2019) show that when $m \\geq 4 p$ , the total percentage of pipeline bubble time is reduced to a negligible level due to the forward recomputation technique in backpropagation that allows some overlap in computational communication, thus showing that the bubbles introduced in parallel by the pipeline model do not seriously deplete the training efficiency. ",
        "bbox": [
            176,
            858,
            823,
            887
        ],
        "page_idx": 24
    },
    {
        "type": "image",
        "img_path": "images/a96eb3848f98214e82b1d04e1d931ed77e78fa3ba2749ac14aaaf26481722d78.jpg",
        "image_caption": [
            "(a) Naive pipeline implementation, which can be extremely inefficient. "
        ],
        "image_footnote": [],
        "bbox": [
            183,
            99,
            831,
            218
        ],
        "page_idx": 25
    },
    {
        "type": "image",
        "img_path": "images/7e097da26a924a78e2067e9e562dba64d650231ddaa84fe3f23aa55b2d62a697.jpg",
        "image_caption": [
            "(b) GPipe (Huang et al., 2019) implementation. "
        ],
        "image_footnote": [],
        "bbox": [
            179,
            250,
            830,
            362
        ],
        "page_idx": 25
    },
    {
        "type": "image",
        "img_path": "images/36308eab87c4dc4bffb3cea67d031f68ec29f4d6fbc206fe0e2dfd880037a8ec.jpg",
        "image_caption": [
            "",
            "(c) Pipedream (Narayanan et al., 2021) implementation (used in GLM-130B). Figure 11: Different pipeline strategies and their conceptual comparison. "
        ],
        "image_footnote": [],
        "bbox": [
            183,
            393,
            833,
            518
        ],
        "page_idx": 25
    },
    {
        "type": "text",
        "text": "",
        "bbox": [
            174,
            583,
            825,
            626
        ],
        "page_idx": 25
    },
    {
        "type": "text",
        "text": "In general, in order to make full use of the hardware, it is common to place models into model parallel groups consisting of multiple nodes and try to use the full memory of each node. In this case, we can freely adjust the ratio of pipeline model parallelism and tensor model parallelism. Since data parallelism hardly affects the computation time, we assume that the scale of data parallelism is $d = 1$ , the total number of nodes is $n$ , the scale of tensor model parallelism is $t$ , and the scale of pipeline model parallelism is $p$ , and satisfies $n = t \\times p$ , the bubble share in this case is ",
        "bbox": [
            173,
            632,
            825,
            717
        ],
        "page_idx": 25
    },
    {
        "type": "equation",
        "img_path": "images/003beb6e0c11efa6db561de001d7b6f94305ce3cc95fc5e12d4041c765ca3bef.jpg",
        "text": "$$\n\\mathrm { b u b b l e - r a t i o } = { \\frac { n / t - 1 } { m + n / t - 1 } }\n$$",
        "text_format": "latex",
        "bbox": [
            400,
            737,
            596,
            771
        ],
        "page_idx": 25
    },
    {
        "type": "text",
        "text": "From the above equation, we can see that increasing the size of tensor parallelism will further reduce the bubble ratio. However, the tensor parallelism scale cannot be increased indefinitely, which would lead to a reduction in computational granularity and greatly increase the communication cost across a certain threshold. Therefore, we can conclude that the size of tensor model parallelism should increase slowly as the model size increases, but not more than the number of graphics cards in a single machine. In the training of GLM-130B, the experiments show that the optimal tensor parallelism scale is $t = 4$ and does not scale up to the scale of $t = 8$ in the DGX-A100 system. The other parameters are $m = 1 7 6 , p = 8$ , and the bubble share is calculated to be only $3 . 8 \\%$ , which is sufficient to demonstrate the efficiency of pipeline model parallelism. ",
        "bbox": [
            173,
            797,
            825,
            924
        ],
        "page_idx": 25
    },
    {
        "type": "table",
        "img_path": "images/c1f7a01b5144d69959a19f3ed5272867731042b40722118e8dd837d7f5f3f423.jpg",
        "table_caption": [
            "Table 9: Decoding speed in our real trials between BLOOM-176B (Scao et al., 2022) (from Huggingface Transformers) and GLM-130B’s implementation in 16-bit precision with $8 \\times \\mathrm { A l 0 0 }$ (80G). "
        ],
        "table_footnote": [],
        "table_body": "<table><tr><td>Decode Tokens</td><td>128</td><td>512</td><td>1024</td><td>2048</td></tr><tr><td>BLOOM-176B</td><td>36.76s</td><td>137.91s</td><td>287.93s</td><td>631.81s</td></tr><tr><td>GLM-130B</td><td>4.40s (×8.4)</td><td>18.77s (×7.3)</td><td>39.81s (×7.2)</td><td>89.88s (×7.0)</td></tr></table>",
        "bbox": [
            235,
            137,
            758,
            193
        ],
        "page_idx": 26
    },
    {
        "type": "image",
        "img_path": "images/e71b7646c6ec61977504538c7bb8a99c10f56c1aebce1f8a2cb7186d4f7242f4.jpg",
        "image_caption": [
            "Figure 12: Distribution of outliers in GLM-130B’s activations. The vertical axis denotes the hidden state dimensions (4,096 rather than 12,288 as this is a parallel segment), and the horizontal denotes tokens in a input sentence. Using a $1 2 8 \\times 1 2 8$ 2D histogram to get a better view of the distribution of outliers. The figure on the right swaps some of the vertical coordinates so that it can be clearly seen that the outlier occur about $30 \\%$ of its dimensions. "
        ],
        "image_footnote": [],
        "bbox": [
            178,
            213,
            790,
            362
        ],
        "page_idx": 26
    },
    {
        "type": "text",
        "text": "B.5 INFERENCE ACCELERATION ",
        "text_level": 1,
        "bbox": [
            176,
            460,
            411,
            474
        ],
        "page_idx": 26
    },
    {
        "type": "text",
        "text": "A model’s plain PyTorch implementation is easy to read and run, but it can be intolerably slow for LLMs. Based on NVIDIA’s FasterTransformer6 we spend two months implementing GLM-130B into $\\mathrm { C } { + } { + }$ to speed up inference, including the following main optimizations: ",
        "bbox": [
            173,
            486,
            825,
            529
        ],
        "page_idx": 26
    },
    {
        "type": "text",
        "text": "• Optimize time-costing operations such as GeGLU, Layer Normalization, and SoftMax.   \n• Reduce the number of GPU kernel calls (e.g., fuse MultiheadAttention into one computation kernel).   \n• Specify the algorithm of the best performance when calling cuBLAS.   \n• Improve the computing efficiency by transposing the model parameters in advance.   \n• Use half2 in FP16 computation to double the half’s access bandwidth and computing throughput. ",
        "bbox": [
            173,
            535,
            825,
            628
        ],
        "page_idx": 26
    },
    {
        "type": "text",
        "text": "We currently pack up the full FasterTransformer implementation for GLM-130B into a plug-andplay docker image for users’ convenience, and we are still working on adapting it to our Pytorch implementation by only changing one line of code. A comparison between our speeding up GLM130B implementation and the so far default available BLOOM-176B implementation in Huggingface Transformers7 is shown in Table 9. Our implementation for GLM-130B can be 7.0 to 8.4 times faster than BLOOM-176B’s Pytorch implementation. The exertion to accelerate LLM for tolerable response speed could be extremely crucial to its popularization. ",
        "bbox": [
            173,
            636,
            825,
            733
        ],
        "page_idx": 26
    },
    {
        "type": "text",
        "text": "B.6 ACTIVATION OUTLIER ANALYSIS ",
        "text_level": 1,
        "bbox": [
            176,
            752,
            447,
            766
        ],
        "page_idx": 26
    },
    {
        "type": "text",
        "text": "As is described in prior sections, GLM-130B’s weight can be quantized into INT4 to drastically cut down parameter redundancy in the inference. However, we also find that GLM-130B’s activations (i.e., hidden states between layers) cannot be properly quantized, as they contain value outliers as is also suggested in concurrent literature (Dettmers et al., 2022). ",
        "bbox": [
            174,
            777,
            825,
            834
        ],
        "page_idx": 26
    },
    {
        "type": "text",
        "text": "What is special in GLM-130B is that $30 \\%$ of its dimensions may present value outliers (Cf. Figure 12), while other GPT-based LLMs (e.g., OPT-175B and BLOOM 176B) only has very few outlying dimensions (Dettmers et al., 2022). Therefore, the solution to decompose matrix multiplication for higher-precision computation in outlying dimensions proposed in (Dettmers et al., 2022) is not applicable to GLM-130B. ",
        "bbox": [
            176,
            840,
            825,
            883
        ],
        "page_idx": 26
    },
    {
        "type": "text",
        "text": "",
        "bbox": [
            173,
            103,
            821,
            131
        ],
        "page_idx": 27
    },
    {
        "type": "text",
        "text": "We study whether these outliers can be ignored in LLM quantization, and the answer is interestingly “no”. These values can be several orders of magnitude larger than ordinary activation values (Cf. Figure 13). While most values (accounts for $9 9 . 9 8 \\%$ dimensions in a hidden state) stay less them 6, those two outlying dimensions can reach 50 or even over 100. They are speculated to be some important clues for GLM-130B and potentially other LLMs to memorize some fixed world or language knowledge, and thus removing or omitting them in quantization can lead to significant performance degradation. ",
        "bbox": [
            174,
            138,
            622,
            265
        ],
        "page_idx": 27
    },
    {
        "type": "image",
        "img_path": "images/1b2c2a68649c2516e4c5a6a77950542b0e7f807a6d377488dcc67eef22b8b90d.jpg",
        "image_caption": [
            "Figure 13: GLM-130B’s activation outliers’ absolute value scale. "
        ],
        "image_footnote": [],
        "bbox": [
            642,
            131,
            821,
            229
        ],
        "page_idx": 27
    },
    {
        "type": "text",
        "text": "B.7 WEIGHT QUANTIZATION",
        "text_level": 1,
        "bbox": [
            176,
            281,
            390,
            296
        ],
        "page_idx": 27
    },
    {
        "type": "text",
        "text": "B.7.1 PRELIMINARIES ",
        "text_level": 1,
        "bbox": [
            174,
            308,
            343,
            321
        ],
        "page_idx": 27
    },
    {
        "type": "text",
        "text": "Absmax Quantization is a symmetric quantization that a range of $[ - \\mathrm { a b s m a x } ( x )$ , absmax $( x ) ]$ is mapped to $[ - ( 2 ^ { b } - 1 ) , 2 ^ { b } - 1 ]$ for $x$ . ",
        "bbox": [
            174,
            332,
            823,
            361
        ],
        "page_idx": 27
    },
    {
        "type": "equation",
        "img_path": "images/bafb457a3bba93fd81e4c16616a8eea2269d7b102ffd3da67049d06fe7c84d86.jpg",
        "text": "$$\n\\begin{array} { l c l } { s _ { x } = \\displaystyle \\frac { \\mathrm { a b s m a x } ( x ) } { 2 ^ { b - 1 } - 1 } } \\\\ { x _ { q } = \\mathrm { r o u n d } ( x / s _ { x } ) } \\end{array}\n$$",
        "text_format": "latex",
        "bbox": [
            433,
            368,
            563,
            421
        ],
        "page_idx": 27
    },
    {
        "type": "text",
        "text": "where $s _ { x }$ is the scaling factor, $x _ { q }$ is the quantization result and $b$ is the bit width. ",
        "bbox": [
            171,
            426,
            697,
            441
        ],
        "page_idx": 27
    },
    {
        "type": "text",
        "text": "Zeropoint Quantization is an asymmetric quantization that a range of $[ \\operatorname* { m i n } ( x ) , \\operatorname* { m a x } ( x ) ]$ is mapped to $[ - ( 2 ^ { b } - 1 ) , 2 ^ { b } - 1 ]$ . ",
        "bbox": [
            171,
            450,
            823,
            479
        ],
        "page_idx": 27
    },
    {
        "type": "equation",
        "img_path": "images/58a4ada37404e3b8263ea60b53f97cdd223dd744f7f92718c65486e80fcc85fa.jpg",
        "text": "$$\n\\begin{array} { l } { s _ { x } = \\frac { \\operatorname* { m a x } ( x ) - \\operatorname* { m i n } ( x ) } { 2 ^ { b } - 2 } } \\\\ { z _ { x } = \\operatorname { r o u n d } ( \\operatorname* { m i n } ( x ) / s _ { x } ) + 2 ^ { b - 1 } - 1 } \\\\ { x _ { q } = \\operatorname { r o u n d } ( x / s _ { x } ) - z _ { x } } \\end{array}\n$$",
        "text_format": "latex",
        "bbox": [
            372,
            486,
            625,
            559
        ],
        "page_idx": 27
    },
    {
        "type": "text",
        "text": "where $z _ { x }$ is the zero point. ",
        "bbox": [
            174,
            564,
            348,
            579
        ],
        "page_idx": 27
    },
    {
        "type": "text",
        "text": "Col/Row-wise Quantization Using a single scaling factor for the weight matrix often leads to more quantization errors because one single outlier leads to a decrease in the quantization precision of all other elements. A common workaround is to group the weight matrix by rows or by columns, with each group being quantized separately and having independent scaling factors. ",
        "bbox": [
            174,
            588,
            823,
            645
        ],
        "page_idx": 27
    },
    {
        "type": "text",
        "text": "B.8 QUANTIZATION SETTINGS ",
        "text_level": 1,
        "bbox": [
            176,
            661,
            398,
            676
        ],
        "page_idx": 27
    },
    {
        "type": "text",
        "text": "Our goal is to save GPU memory as much as possible without hurting model performance. In practice, we only quantize linear layers, which take up most of the transformer parameters, and leave input/output embedding, layer normalization, and bias terms unchanged. At the quantization precision of INT4, two INT4 weights are compressed into one INT8 weight for saving GPU memory usage. Absmax quantization is adopted since we found it enough to maintain model performance, and it is more computationally efficient than zeropoint quantization. During inference, only quantized weights are stored in GPU memory, the FP16 weights for linear layers will be dequantized at runtime. ",
        "bbox": [
            173,
            688,
            825,
            799
        ],
        "page_idx": 27
    },
    {
        "type": "text",
        "text": "B.8.1 QUANTIZATION RESULTS AT SCALES ",
        "text_level": 1,
        "bbox": [
            176,
            815,
            488,
            830
        ],
        "page_idx": 27
    },
    {
        "type": "text",
        "text": "GLM models at 110M to 10B scale are from GLM’s original paper(Du et al., 2022). Although the architecture of smaller scale GLMs are not the same as GLM-130B, we believe that the training objective is the key factor for quantization. Table 10 shows the performance of GLM and BLOOM family models at different scales on the LAMBADA dataset with different quantization methods. Almost all models maintain performance at INT8 precision. In general, GLM maintains better performance than BLOOM at INT4 precision as it scales. ",
        "bbox": [
            174,
            839,
            825,
            924
        ],
        "page_idx": 27
    },
    {
        "type": "table",
        "img_path": "images/203b62d8832946c6fd9cc21f6e5eb0f9c1368d2eac8ee7320127723bebe6f3c3.jpg",
        "table_caption": [
            "Table 10: Accuracy on LAMBADA dataset for GLM and BLOOM family at 100M to 176B scales across different quantization precision. "
        ],
        "table_footnote": [],
        "table_body": "<table><tr><td></td><td>BLOOM-560M</td><td>BLOOM-1B1</td><td>BLOOM-3B</td><td>BLOOM-7B</td><td>BLOOM-176B</td></tr><tr><td>Original</td><td>31.40%</td><td>40.68%</td><td>48.30%</td><td>54.91%</td><td>64.37%</td></tr><tr><td>Absmax INT8,col-wise</td><td>26.12%</td><td>40.69%</td><td>48.83%</td><td>55.33%</td><td>65.03%</td></tr><tr><td>Absmax INT4, col-wise</td><td>9.30%</td><td>17.43%</td><td>37.88%</td><td>38.04%</td><td>34.83%</td></tr><tr><td>Absmax INT4,row-wise</td><td>21.37%</td><td>35.80%</td><td>40.95%</td><td>46.75%</td><td>NaN</td></tr><tr><td>Zeropoint INT4,col-wise</td><td>11.51%</td><td>26.51%</td><td>41.65%</td><td>46.63%</td><td>48.26%</td></tr><tr><td>Zeropoint INT4, row-wise</td><td>24.95%</td><td>33.05%</td><td>43.63%</td><td>49.41%</td><td>NaN</td></tr><tr><td></td><td>GLM-110M</td><td>GLM-335M</td><td>GLM-2B</td><td>GLM-10B</td><td>GLM-130B</td></tr><tr><td>Original</td><td>29.36%</td><td>48.51%</td><td>68.19%</td><td>72.35%</td><td>80.21%</td></tr><tr><td>Absmax INT8,row-wise</td><td>29.25%</td><td>48.69%</td><td>68.12%</td><td>72.37%</td><td>80.21%</td></tr><tr><td>Absmax INT4, row-wise</td><td>3.26%</td><td>38.25%</td><td>62.62%</td><td>71.03%</td><td>79.47%</td></tr><tr><td>Zeropoint INT4,row-wise</td><td>5.45%</td><td>42.64%</td><td>64.74%</td><td>70.50%</td><td>80.63%</td></tr></table>",
        "bbox": [
            179,
            137,
            815,
            318
        ],
        "page_idx": 28
    },
    {
        "type": "image",
        "img_path": "images/faccb6b4f330b6e5a7cc8f4cf024e0967f7c913a5163fa0ef856dc8fcf6b3d89.jpg",
        "image_caption": [
            "Figure 14: Contribution attribution analysis on GLM objective and MIP training. We take GLM10B (English only) as an example in the ablation. Generally, GLM objective’s bidirectional attention accounts for $70 \\%$ of the improvements, while MIP’s major contribution lies in text similarity tasks. "
        ],
        "image_footnote": [],
        "bbox": [
            171,
            335,
            820,
            430
        ],
        "page_idx": 28
    },
    {
        "type": "text",
        "text": "B.8.2 WEIGHT DISTRIBUTION ANALYSIS ",
        "text_level": 1,
        "bbox": [
            176,
            496,
            473,
            511
        ],
        "page_idx": 28
    },
    {
        "type": "text",
        "text": "To achieve INT4 weight quantization, we analyze the weight value distribution of major linear layers in GLM-130B and a counterpart BLOOM-176B in a histogram (Cf. Figure 15). The horizontal axis denotes the weight value, and the vertical axis denotes the number of weights of such value in log scale. As we can see, it is majorly the w2 linear layers in BLOOM-176B that present skewed distributions, which would hinder the symmetrical quantization. On the contrary, GLM-130B’s w2 is well-shaped without many outliers and skewed distribution, and thus paces the way for its INT4 quantization with little performance loss. ",
        "bbox": [
            173,
            522,
            825,
            621
        ],
        "page_idx": 28
    },
    {
        "type": "text",
        "text": "B.9 ABLATION ON CONTRIBUTION ATTRIBUTION ",
        "text_level": 1,
        "bbox": [
            174,
            643,
            531,
            657
        ],
        "page_idx": 28
    },
    {
        "type": "text",
        "text": "We analyze the contribution attribution of techniques leveraged in GLM-130B. A series of ablation studies have been presented in the paper, and for the convenience of reading, they were originally scattered around the whole passage. Here we summarize them here into the following list for readers’ reference: ",
        "bbox": [
            173,
            671,
            825,
            727
        ],
        "page_idx": 28
    },
    {
        "type": "text",
        "text": "• Ablation on ordinary PostLN and DeepNorm: Figure 3.   \n• Ablation on Bidirectional/Unidirectional Attention: Figure 2 (LAMBADA), Table 16 (Conditional NLG), Figure 17 (SuperGLUE).   \n• Ablation on Embedding Layer Gradient Shrink (EGS): Figure 4.   \n• Ablation on Positional Encodings and FFN: Appendix B.3 Table 8. ",
        "bbox": [
            173,
            734,
            823,
            813
        ],
        "page_idx": 28
    },
    {
        "type": "text",
        "text": "Additionally, we conduct the following study to justify the contribution of the two most influential techniques–GLM Objective and Multi-task Instruction Pre-training (MIP)–used in GLM-130B. ",
        "bbox": [
            173,
            819,
            825,
            847
        ],
        "page_idx": 28
    },
    {
        "type": "text",
        "text": "GLM Objective and MIP. Ablating a 100B-scale LLM from scratch can be too expensive. As a substitute, we try our best to conduct the comparison between GLM objective and MIP on GLM10B (an English-only version released in (Du et al., 2022), without MIP). We additionally train a GLM-10B initialized from a middle-stage original checkpoint with MIP $( 5 \\% )$ to match the same training tokens of the original self-supervision-only GLM-130B. The MIP, this time, follows the exact dataset setting in T0 (Sanh et al., 2022) and the information extraction datasets in GLM-130B to allow the correct evaluation on some types of tasks (e.g., NLI). ",
        "bbox": [
            174,
            853,
            825,
            924
        ],
        "page_idx": 28
    },
    {
        "type": "text",
        "text": "",
        "bbox": [
            171,
            103,
            823,
            132
        ],
        "page_idx": 29
    },
    {
        "type": "text",
        "text": "Figure 14 shows the ablation results. On the 8 datasets we test, we find that the GLM objective is a major contributor to the improvement (from GLM (uni) to $\\mathrm { G L M } + \\mathrm { M I P }$ (bi)). For example, it accounts for $73 \\%$ improvement in LAMBADA and $90 \\%$ improvement in MMLU, which are very widely adopted challenging benchmarks for LLMs. As for MIP, on some datasets (e.g., WiC, ReCoRD, Hellaswag), MIP may even harm the performance. While for datasets related to text similarity and coreference (e.g., WSC, BoolQ, ANLI R1), MIP is the main contributor. It is likely because the text similarity and coreference challenges, which people usually construct intentionally to test language models’ ability, are seldom seen in the self-supervised corpus that makes up people’s daily written texts. Thus, MIP training mainly helps to bridge the gap between self-supervised pre-training and these tasks. ",
        "bbox": [
            173,
            138,
            825,
            277
        ],
        "page_idx": 29
    },
    {
        "type": "text",
        "text": "B.10 LESSONS LEARNED ",
        "text_level": 1,
        "bbox": [
            174,
            295,
            362,
            309
        ],
        "page_idx": 29
    },
    {
        "type": "text",
        "text": "Lesson 1 (Bidirectional Architecture). The bidirectional-attention GLM is a strong architecture alternative, in addition to GPTs. ",
        "bbox": [
            186,
            321,
            807,
            351
        ],
        "page_idx": 29
    },
    {
        "type": "text",
        "text": "Lesson 2 (Platform-aware Configuration). Configure LLMs based on the cluster and parallel strategy used to squeeze hardware potential. ",
        "bbox": [
            187,
            373,
            810,
            402
        ],
        "page_idx": 29
    },
    {
        "type": "text",
        "text": "Lesson 3 (Improved Post-LN). Counter-stereotypically, DeepNorm, a type of Post-LN, is the option to stabilize GLM-130B. ",
        "bbox": [
            187,
            426,
            808,
            454
        ],
        "page_idx": 29
    },
    {
        "type": "text",
        "text": "Lesson 4 (Training Stability Categorization). Unexpected training instability that LLMs suffer from arouses systematically and numerically. ",
        "bbox": [
            184,
            478,
            808,
            507
        ],
        "page_idx": 29
    },
    {
        "type": "text",
        "text": "Lesson 5 (Systematical Instability: FP16). Though FP16 induces more instability, it enables training and inference on diverse platforms. ",
        "bbox": [
            186,
            530,
            808,
            560
        ],
        "page_idx": 29
    },
    {
        "type": "text",
        "text": "Lesson 6 (Numerical Instability: Embedding Gradient Shrink). Shrinking embedding layer’s gradient to its 0.1 can solve most numerical instability problems. ",
        "bbox": [
            187,
            583,
            807,
            612
        ],
        "page_idx": 29
    },
    {
        "type": "text",
        "text": "Lesson 7 (GLM’s INT4 Quantization Scaling Law). GLM has a unique INT4 weight quantization scaling law unobserved in GPT-style BLOOM. ",
        "bbox": [
            187,
            636,
            808,
            665
        ],
        "page_idx": 29
    },
    {
        "type": "text",
        "text": "Lesson 8 (Future Direction). To create powerful LLMs, the main focus can be on 1) more and better data, 2) better architectures and pre-training objectives, and 3) more sufficient training. ",
        "bbox": [
            189,
            688,
            810,
            717
        ],
        "page_idx": 29
    },
    {
        "type": "image",
        "img_path": "images/627d6cd4ded25aa893ca472ba392c2d4946af9b3fa7ca6451ae8daca8971bbe4.jpg",
        "image_caption": [
            "Figure 15: Weight value distribution of linear layers in GLM-130B (in orange, attn-dense, attn-qkv, glu-w1, glu-w2) and BLOOM-176B (in blue, attn-dense, attn-qkv, ffn-w1, ffn-w2)’s first 28 transformer layers. Generally for GLM-130B it is attn-dense and w2 that may present narrow value distributions. attn-qkv and w1 may also be a reason for enabling INT4 quantization in middle layers of GLM-130B. "
        ],
        "image_footnote": [],
        "bbox": [
            210,
            93,
            782,
            771
        ],
        "page_idx": 30
    },
    {
        "type": "text",
        "text": "C DATASET AND EVALUATION DETAILS ",
        "text_level": 1,
        "bbox": [
            174,
            102,
            519,
            118
        ],
        "page_idx": 31
    },
    {
        "type": "text",
        "text": "C.1 MULTI-TASK INSTRUCTION PRE-TRAINING (MIP) ",
        "bbox": [
            174,
            145,
            562,
            159
        ],
        "page_idx": 31
    },
    {
        "type": "text",
        "text": "Following practices in (Raffel et al., 2020; Wei et al., 2022a; Sanh et al., 2022; Aribandi et al., 2022), we include a number of prompted instruction datasets in GLM-130B’s MIP training, which accounts for $5 \\%$ of the training tokens. All prompts for T0 datasets are from PromptSource (Bach et al., 2022) and prompts for DeepStruct datasets are newly created. Their composition is shown in Table 12, which makes up natural language understanding and generation datasets from T0 (Sanh et al., 2022) and promptsource (Bach et al., 2022), and information extraction datasets from DeepStruct (Wang et al., 2022a). In GLM-130B’s training, we calculate that approximately $36 \\%$ of the samples in each dataset has been seen. ",
        "bbox": [
            174,
            176,
            825,
            287
        ],
        "page_idx": 31
    },
    {
        "type": "text",
        "text": "T0 originally splits datasets for 1) multi-task prompted training and 2) zero-shot task transfer two sections. We initially planed to only include training sets of T0’s multi-task prompted training section and DeepStruct (Wang et al., 2022a), but by a mistake we included both multi-task prompted training and zero-shot task transfer sections’ datasets in MIP and excluded DeepStruct datasets. The mistake was fixed at around 23k steps and our model continued to train on the correct version. ",
        "bbox": [
            174,
            295,
            825,
            364
        ],
        "page_idx": 31
    },
    {
        "type": "text",
        "text": "Natural Language Understanding and Generation. We adopt datasets and corresponding prompts from promptsource (Bach et al., 2022). For all prompted samples in each dataset, we set a truncation of maximal 10,0000 samples per dataset and combine them together as the MIP dataset. Details of the prompted samples and datasets are provided in promptsource’s GitHub repository8. ",
        "bbox": [
            174,
            372,
            825,
            428
        ],
        "page_idx": 31
    },
    {
        "type": "text",
        "text": "Information Extraction. Based on the datasets from DeepStruct (Wang et al., 2022a), a multitask language model pre-training approach for information extraction tasks, we create instructions and prompts for part of its datasets (as is shown in Table 12). We reformulate information extraction tasks into instruction tuning formats to allow zero-shot generalization to new extraction schema. For all prompted samples in each dataset, we set a truncation of maximal 20,0000 samples per dataset as there are fewer information extraction datasets than common language understanding and generation ones. For KELM (Agarwal et al., 2021) and PropBank (Kingsbury & Palmer) datasets, since their original size is gigantic, we sample 50,0000 samples for each of them from their prompted samples. ",
        "bbox": [
            174,
            434,
            825,
            546
        ],
        "page_idx": 31
    },
    {
        "type": "text",
        "text": "C.2 DATA AND PROMPTS IN MIP FOR DEEPSTRUCT ",
        "text_level": 1,
        "bbox": [
            174,
            578,
            544,
            593
        ],
        "page_idx": 31
    },
    {
        "type": "text",
        "text": "Prompts and instructions for all datasets in DeepStruct (Wang et al., 2022a) are newly created by authors manually. The introduction, task description, and full prompts for each dataset are attached in the following sections. To allow template infilling, all prompts are written into Jinja9 templates. When a dataset sample is provided in our format, Joinja engine will render it into a prompted sample with instruction. ",
        "bbox": [
            174,
            609,
            825,
            680
        ],
        "page_idx": 31
    },
    {
        "type": "text",
        "text": "A more systematic evaluation on GLM-130B’s information extraction ability is left for a future work, as the concentration in this work is on the training and designing details of an LLM. ",
        "bbox": [
            174,
            686,
            823,
            715
        ],
        "page_idx": 31
    },
    {
        "type": "text",
        "text": "C.2.1 DIALOGUE STATE TRACKING ",
        "text_level": 1,
        "bbox": [
            176,
            746,
            434,
            761
        ],
        "page_idx": 31
    },
    {
        "type": "text",
        "text": "We adopt Multiwoz 2.1 (Eric et al., 2020) dialogue state tracking dataset. The dataset is reformulated into two tasks, each with one prompt correspondingly: ",
        "bbox": [
            173,
            776,
            825,
            806
        ],
        "page_idx": 31
    },
    {
        "type": "text",
        "text": "• Dialogue state tracking: which asks the model to extract information from dialogues given a list of certain slots, e.g., taxi_arrival_time and destination. ",
        "bbox": [
            174,
            813,
            820,
            840
        ],
        "page_idx": 31
    },
    {
        "type": "text",
        "text": "• Slot filling: which model should fill in one provided slot and identify situations without answer. ",
        "bbox": [
            176,
            843,
            815,
            857
        ],
        "page_idx": 31
    },
    {
        "type": "text",
        "text": "(Dialogue State Tracking, Prompt 0) ",
        "text_level": 1,
        "bbox": [
            178,
            103,
            433,
            118
        ],
        "page_idx": 32
    },
    {
        "type": "text",
        "text": "Read the dialogues between \"[User]\" and \"[Agent]\", ",
        "bbox": [
            178,
            125,
            619,
            138
        ],
        "page_idx": 32
    },
    {
        "type": "text",
        "text": "{{text}} ",
        "bbox": [
            181,
            150,
            250,
            164
        ],
        "page_idx": 32
    },
    {
        "type": "text",
        "text": "identify and extract the information related to the following categories (from top to down): ",
        "bbox": [
            178,
            175,
            818,
            200
        ],
        "page_idx": 32
    },
    {
        "type": "text",
        "text": "- {{allowed_relations | join(\"\\n- \")}} ",
        "bbox": [
            179,
            212,
            514,
            227
        ],
        "page_idx": 32
    },
    {
        "type": "text",
        "text": "in the form of \"( [User] ; Y ; Z )\": ||| {{format_triple(relations, allowed_relations) | join(\" \")}} ",
        "bbox": [
            179,
            238,
            767,
            265
        ],
        "page_idx": 32
    },
    {
        "type": "text",
        "text": "(Slot Filling, Prompt 0) ",
        "text_level": 1,
        "bbox": [
            178,
            311,
            343,
            327
        ],
        "page_idx": 32
    },
    {
        "type": "text",
        "text": "Given the following dialogue: ",
        "bbox": [
            179,
            334,
            434,
            348
        ],
        "page_idx": 32
    },
    {
        "type": "text",
        "text": "{{text}} ",
        "bbox": [
            181,
            359,
            250,
            372
        ],
        "page_idx": 32
    },
    {
        "type": "text",
        "text": "please answer the question: has \"[User]\" mentioned \"{{allowed_relations[ relation_idx].split(': ') | join(\"'s \")}}\" ? If yes, please write down the answer from the dialogue; if not, please answer \"not given\". ",
        "bbox": [
            178,
            385,
            815,
            422
        ],
        "page_idx": 32
    },
    {
        "type": "text",
        "text": "Answer: ||| {% if filter_relation(relations, allowed_relations[ relation_idx]).__len__() $>$ 0 %}{{filter_relation(relations, allowed_relations[relation_idx])[0]['tail']}}{% else %}not given{% endif %} ",
        "bbox": [
            178,
            435,
            815,
            484
        ],
        "page_idx": 32
    },
    {
        "type": "text",
        "text": "C.2.2 EVENT EXTRACTION ",
        "text_level": 1,
        "bbox": [
            174,
            541,
            379,
            556
        ],
        "page_idx": 32
    },
    {
        "type": "text",
        "text": "We adopt ACE05 (Walker & Consortium, 2005) event extraction datasets following the setting in (Wadden et al., 2019). The dataset is reformulated into two tasks with three prompts as follows: ",
        "bbox": [
            173,
            579,
            825,
            607
        ],
        "page_idx": 32
    },
    {
        "type": "text",
        "text": "• Event Argument Extraction: given a trigger in text and a list of its argument roles, the model is asked to extract the arguments from the provided text. ",
        "bbox": [
            173,
            614,
            823,
            642
        ],
        "page_idx": 32
    },
    {
        "type": "text",
        "text": "• Argument Identification: given a trigger and a certain argument role, the model is asked to extract the argument if it exists in the provided text; otherwise, the model should generate nothing. ",
        "bbox": [
            174,
            645,
            823,
            672
        ],
        "page_idx": 32
    },
    {
        "type": "text",
        "text": "(Event Argument Extraction, Prompt 0) ",
        "text_level": 1,
        "bbox": [
            178,
            710,
            459,
            726
        ],
        "page_idx": 32
    },
    {
        "type": "text",
        "text": "For the task of \"Event Extraction\", given a trigger one should extract its related arguments conditioned on a list of potential roles. ",
        "bbox": [
            178,
            733,
            797,
            758
        ],
        "page_idx": 32
    },
    {
        "type": "text",
        "text": "Given the following list of roles: ",
        "bbox": [
            179,
            770,
            478,
            784
        ],
        "page_idx": 32
    },
    {
        "type": "text",
        "text": "- {{shuffle(allowed_arguments[trigger['event_type']].values()) | join(\"\\ n- \")}} ",
        "bbox": [
            173,
            795,
            813,
            821
        ],
        "page_idx": 32
    },
    {
        "type": "text",
        "text": "extract related arguments of the trigger \"{{trigger['text']}} ({{ allowed_triggers[trigger['event_type']]}})\" in the following sentence: ",
        "bbox": [
            176,
            833,
            795,
            859
        ],
        "page_idx": 32
    },
    {
        "type": "text",
        "text": "{{text}} ",
        "bbox": [
            181,
            871,
            250,
            883
        ],
        "page_idx": 32
    },
    {
        "type": "text",
        "text": "Extractions: ||| {{format_triple(relations, \"\") | join(\" \")}} ",
        "bbox": [
            178,
            896,
            715,
            910
        ],
        "page_idx": 32
    },
    {
        "type": "text",
        "text": "(Event Argument Extraction, Prompt 1) ",
        "text_level": 1,
        "bbox": [
            179,
            103,
            459,
            118
        ],
        "page_idx": 33
    },
    {
        "type": "text",
        "text": "TEST ",
        "bbox": [
            179,
            126,
            215,
            137
        ],
        "page_idx": 33
    },
    {
        "type": "text",
        "text": "1. (Event Extraction) {{text}} ",
        "bbox": [
            181,
            150,
            442,
            162
        ],
        "page_idx": 33
    },
    {
        "type": "text",
        "text": "Please write down ALL event arguments related to the trigger \"{{trigger ['text']}} ({{allowed_triggers[trigger['event_type']]}})\" marked with \"[ ]\", given the following categories: ",
        "bbox": [
            179,
            175,
            815,
            213
        ],
        "page_idx": 33
    },
    {
        "type": "text",
        "text": "- {{shuffle(allowed_arguments[trigger['event_type']].values()) | join(\"\\ n- \")}} ",
        "bbox": [
            176,
            226,
            812,
            252
        ],
        "page_idx": 33
    },
    {
        "type": "text",
        "text": "Answer: ||| {{format_triple(relations, \"\") | join(\" \")}} ",
        "bbox": [
            179,
            262,
            673,
            276
        ],
        "page_idx": 33
    },
    {
        "type": "text",
        "text": "(Argument Identification, Prompt 0) ",
        "text_level": 1,
        "bbox": [
            179,
            342,
            433,
            357
        ],
        "page_idx": 33
    },
    {
        "type": "text",
        "text": "Let extract event related arguments! ",
        "bbox": [
            183,
            364,
            495,
            377
        ],
        "page_idx": 33
    },
    {
        "type": "text",
        "text": "In the following passage, an argument with the type \"{{query_arg}}\" is related to the event trigger \"{{trigger['text']}} ({{allowed_triggers[ trigger['event_type']]}})\": ",
        "bbox": [
            179,
            390,
            797,
            428
        ],
        "page_idx": 33
    },
    {
        "type": "text",
        "text": "{{text}} ",
        "bbox": [
            181,
            439,
            250,
            452
        ],
        "page_idx": 33
    },
    {
        "type": "text",
        "text": "The argument should be (copy from the context if you find it; if not, do not generate): ||| {{filter_type(relations, query_arg) | join(\" \")}} ",
        "bbox": [
            178,
            465,
            815,
            491
        ],
        "page_idx": 33
    },
    {
        "type": "text",
        "text": "C.2.3 JOINT ENTITY AND RELATION EXTRACTION ",
        "text_level": 1,
        "bbox": [
            173,
            565,
            539,
            580
        ],
        "page_idx": 33
    },
    {
        "type": "text",
        "text": "Joint entity and relation extraction aims to recognize named entities in a piece of text and judge the relationships between them. It is closely related to knowledge acquisition, where the ultimate target is to structuring the unstructured web contents into knowledge triples (e.g., (London, capital_of, Britain)). The task can be formulated into either a pipeline framework (a combination of named entity recognition and relation extraction), or end-to-end training. ",
        "bbox": [
            173,
            609,
            825,
            680
        ],
        "page_idx": 33
    },
    {
        "type": "text",
        "text": "In this work, we adopt three classical joint entity and relation extraction datasets: CoNLL04 (Roth & Yih, 2004), NYT (Riedel et al., 2010), and ACE2005 (Walker & Consortium, 2005). In GLM-130B, we follow (Wang et al., 2022a) to formulate such challenges into sequence-to-sequence generation, where our inputs are raw texts and outputs are triples. We only conduct relation-related tasks for these datasets here, and leave the entity-related ones to the named entity recognition section. ",
        "bbox": [
            174,
            686,
            825,
            756
        ],
        "page_idx": 33
    },
    {
        "type": "text",
        "text": "• Relation Extraction: here we extract knowledge triples consisting of “head entity”, “relation”, and “tail entity”, given a list of relation candidates. For example, given the input “In Kunming the 800-some faculty and student established the National Southwestern Associated University.”, the model output could be (National Southwestern Associated University, location of formation, Kunming).   \n• Conditional Relation Extraction: given a single relation candidate, judge if the input text contains the relation. If so, extraction all related triples; if not, do not generate.   \n• Knowledge Slot Filling: assign a certain entity from text, and ask the model to extract all triples that takes the entity as the head.   \n• Relation Classification: given two entities from texts, ask the model to judge the relation between them based on a list of candidate relations. ",
        "bbox": [
            171,
            763,
            826,
            924
        ],
        "page_idx": 33
    },
    {
        "type": "text",
        "text": "(Relation Extraction, Prompt 0) ",
        "text_level": 1,
        "bbox": [
            178,
            103,
            403,
            117
        ],
        "page_idx": 34
    },
    {
        "type": "text",
        "text": "Can you figure out all triples regarding the relations of \"{{shuffle( allowed_relations) | join('\", \"')}}\" from the sentence? List them in the shape of \"( X ; Y ; Z )\": ",
        "bbox": [
            178,
            126,
            816,
            162
        ],
        "page_idx": 34
    },
    {
        "type": "text",
        "text": "{{text}} $= >$ ||| {{format_triple(relations, allowed_relations) | join(\" \")}} ",
        "bbox": [
            179,
            175,
            800,
            200
        ],
        "page_idx": 34
    },
    {
        "type": "text",
        "text": "(Conditional Relation Extraction, Prompt 0) ",
        "text_level": 1,
        "bbox": [
            179,
            222,
            490,
            237
        ],
        "page_idx": 34
    },
    {
        "type": "text",
        "text": "Conditioned on the relation \"{{allowed_relations[relation_idx]}}\", what knowledge triples can be extracted from: ",
        "bbox": [
            174,
            244,
            803,
            270
        ],
        "page_idx": 34
    },
    {
        "type": "text",
        "text": "{{text}} ",
        "bbox": [
            181,
            281,
            250,
            295
        ],
        "page_idx": 34
    },
    {
        "type": "text",
        "text": "Please write them down here: ||| {{format_triple(relations, [ allowed_relations[relation_idx]]) | join(\" \")}} ",
        "bbox": [
            178,
            308,
            717,
            333
        ],
        "page_idx": 34
    },
    {
        "type": "text",
        "text": "(Knowledge Slot Filling, Prompt 0) ",
        "text_level": 1,
        "bbox": [
            179,
            353,
            423,
            369
        ],
        "page_idx": 34
    },
    {
        "type": "text",
        "text": "{% if entity_types.__len__() > 0 %} In the sentence ",
        "bbox": [
            179,
            376,
            488,
            401
        ],
        "page_idx": 34
    },
    {
        "type": "text",
        "text": "{{text}} ",
        "bbox": [
            181,
            412,
            250,
            426
        ],
        "page_idx": 34
    },
    {
        "type": "text",
        "text": "the $\\mathrm { ~  ~ { ~ X ~ } ~ } =$ \"{{entities[entity_idx]}}\" is an entity of the type \"{{ entity_types[entity_idx]}}\". Extract all possible triples contains \"{{ entities[entity_idx]}}\" in the form of ( X ; Y ; Z ), given the following candidate properties Y: ",
        "bbox": [
            178,
            439,
            797,
            489
        ],
        "page_idx": 34
    },
    {
        "type": "text",
        "text": "{% for r in allowed_relations %}- {{r}}   \n{% endfor %}   \nAnswer: ||| {% for r in relations %}{% if r['head'][0] $= =$ entities[   \nentity_idx] %}{{format_triple([r], allowed_relations) | join(\" \")}}{%   \nendif %}{% endfor %}   \n{% endif %} ",
        "bbox": [
            178,
            501,
            789,
            577
        ],
        "page_idx": 34
    },
    {
        "type": "text",
        "text": "(Relation Classification, Prompt 0) ",
        "text_level": 1,
        "bbox": [
            179,
            598,
            421,
            613
        ],
        "page_idx": 34
    },
    {
        "type": "text",
        "text": "QUIZ ",
        "bbox": [
            178,
            621,
            215,
            632
        ],
        "page_idx": 34
    },
    {
        "type": "text",
        "text": "1. Given the candidate relations: ",
        "bbox": [
            181,
            645,
            470,
            659
        ],
        "page_idx": 34
    },
    {
        "type": "text",
        "text": "- {{shuffle(allowed_relations) | join(\"\\n- \")}} what is the relation between \"{{relations[triple_idx]['head'][0]}}\" and \"{{relations[triple_idx]['tail'][0]}}\" in the following sentence? ",
        "bbox": [
            179,
            670,
            593,
            684
        ],
        "page_idx": 34
    },
    {
        "type": "text",
        "text": "",
        "bbox": [
            176,
            695,
            807,
            722
        ],
        "page_idx": 34
    },
    {
        "type": "text",
        "text": "{{text}} ",
        "bbox": [
            181,
            733,
            250,
            747
        ],
        "page_idx": 34
    },
    {
        "type": "text",
        "text": "Answer: ||| {{relations[triple_idx]['relation']}} ",
        "bbox": [
            178,
            758,
            609,
            773
        ],
        "page_idx": 34
    },
    {
        "type": "text",
        "text": "Nevertheless, existing joint entity and relation extraction datasets have very limited relation schema. For example, CoNLL04 only contains five different relations; the most diverse NYT dataset contains 24 Freebase predicates. To allow the model to capture a diverse range of potential verbalized predicates, we extend the task with automatically generated knowledge-text aligned data from KELM (Agarwal et al., 2021). We do not include other distantly supervised dataset (e.g., T-Rex (Elsahar et al., 2018)) since they can be extremely noisy. ",
        "bbox": [
            174,
            791,
            825,
            875
        ],
        "page_idx": 34
    },
    {
        "type": "text",
        "text": "For KELM data, since it is based on the full Wikidata schema (which contains too many relations to be enumerated), we create two KELM-specific prompts for the task of Relation Extraction and Knowledge Slot Filling: ",
        "bbox": [
            176,
            881,
            823,
            924
        ],
        "page_idx": 34
    },
    {
        "type": "text",
        "text": "(Relation Extraction, Prompt 1, KELM ONLY) ",
        "text_level": 1,
        "bbox": [
            178,
            102,
            509,
            118
        ],
        "page_idx": 35
    },
    {
        "type": "text",
        "text": "{# kelm #} ",
        "bbox": [
            179,
            126,
            266,
            137
        ],
        "page_idx": 35
    },
    {
        "type": "text",
        "text": "Can you figure out all knowledge triples regarding whole Wikidata properties from the sentence? List them in the shape of \"( X ; Y ; Z )\": ",
        "bbox": [
            184,
            142,
            812,
            162
        ],
        "page_idx": 35
    },
    {
        "type": "text",
        "text": "{{text}} $= >$ ||| {{format_triple(relations, \"\") | join(\" \")}} ",
        "bbox": [
            179,
            175,
            707,
            189
        ],
        "page_idx": 35
    },
    {
        "type": "text",
        "text": "(Knowledge Slot Filling, Prompt 1, KELM ONLY) ",
        "text_level": 1,
        "bbox": [
            179,
            218,
            531,
            234
        ],
        "page_idx": 35
    },
    {
        "type": "text",
        "text": "{# kelm #}   \nGiven the entity \"{{entities[entity_idx]}}\" marked with \"[\" and \"]\" in   \nthe context: ",
        "bbox": [
            178,
            241,
            802,
            279
        ],
        "page_idx": 35
    },
    {
        "type": "text",
        "text": "{{text}} ",
        "bbox": [
            181,
            291,
            250,
            304
        ],
        "page_idx": 35
    },
    {
        "type": "text",
        "text": "please list all triples related to it (do not generate if there is no answer): ||| {% for r in relations %}{% if r['head'][0] $= =$ entities[ entity_idx] %}{{format_triple([r], \"\") | join(\" \")}}{% endif %}{% endfor %} ",
        "bbox": [
            178,
            318,
            815,
            367
        ],
        "page_idx": 35
    },
    {
        "type": "text",
        "text": "C.2.4 NAMED ENTITY RECOGNITION ",
        "text_level": 1,
        "bbox": [
            178,
            405,
            446,
            420
        ],
        "page_idx": 35
    },
    {
        "type": "text",
        "text": "Named entity recognition is a task which targets identifying named entities from raw text corpus and assign them with proper entity types. For example, in the sentence “In 1916 GM was reincorporated in Detroit as \"General Motors Corporation\".”, General Motors Corporation could be of entity type organization. We design two different types of tasks based on named entity recognition datasets CoNLL03 (Sang & Meulder, 2003), OntoNotes 5.0 (Pradhan et al., 2013), and GENIA (Ohta et al., 2002). We also include named entity recognition sub-tasks from joint entity and relation datasets. ",
        "bbox": [
            173,
            434,
            825,
            532
        ],
        "page_idx": 35
    },
    {
        "type": "text",
        "text": "• Named Entity Recognition: given a certain list of possible entity types (e.g., location, person, organization), extract all related entities from the provided text content. ",
        "bbox": [
            173,
            540,
            823,
            568
        ],
        "page_idx": 35
    },
    {
        "type": "text",
        "text": "• Entity Typing: entity typing is one of the important derivative tasks from named entity recognition. It aims to classify the correct type of an entity mention (without entity types), and is often appended to the entity mention extraction as post-processing. ",
        "bbox": [
            174,
            570,
            825,
            612
        ],
        "page_idx": 35
    },
    {
        "type": "text",
        "text": "(Named Entity Recognition, Prompt 0) ",
        "text_level": 1,
        "bbox": [
            178,
            632,
            449,
            647
        ],
        "page_idx": 35
    },
    {
        "type": "text",
        "text": "Given the following list of entity types: ",
        "bbox": [
            179,
            654,
            539,
            667
        ],
        "page_idx": 35
    },
    {
        "type": "text",
        "text": "$\\begin{array} { r l } { \\mathrm { ~ Z ~ } } & { { } = } \\end{array}$ {{shuffle(allowed_types) | join(\", \")}} ",
        "bbox": [
            174,
            679,
            558,
            693
        ],
        "page_idx": 35
    },
    {
        "type": "text",
        "text": "please extract all mentioned entities from left to right in the sentence , in the form of \"( X ; instance of ; Z )\". ",
        "bbox": [
            174,
            704,
            813,
            729
        ],
        "page_idx": 35
    },
    {
        "type": "text",
        "text": "{{text}} $= >$ ||| {% for entity, type in zip(entities, entity_types) %}( {{entity}} ; instance of ; {{type}} ) {% endfor %} ",
        "bbox": [
            176,
            742,
            797,
            768
        ],
        "page_idx": 35
    },
    {
        "type": "text",
        "text": "(Entity Typing, Prompt 0) ",
        "text_level": 1,
        "bbox": [
            178,
            797,
            361,
            814
        ],
        "page_idx": 35
    },
    {
        "type": "text",
        "text": "Extract all entity mentioned in the sentence with entity type \"{{ allowed_types[type_idx]}}\" in the form of \"( X ; instance of ; {{ allowed_types[type_idx]}} )\" ",
        "bbox": [
            181,
            820,
            751,
            859
        ],
        "page_idx": 35
    },
    {
        "type": "text",
        "text": "{{text}} $= >$ ||| {% for entity, type in zip(entities, entity_types) %}{% if type $= =$ allowed_types[type_idx] %}( {{entity}} ; instance of ; {{type }} ) {% endif %}{% endfor %} ",
        "bbox": [
            179,
            871,
            815,
            909
        ],
        "page_idx": 35
    },
    {
        "type": "text",
        "text": "(Entity Typing, Prompt 1) ",
        "text_level": 1,
        "bbox": [
            178,
            103,
            361,
            118
        ],
        "page_idx": 36
    },
    {
        "type": "text",
        "text": "List all \"{{allowed_types[type_idx]}}\" entities appeared in the following passage, joined by \" | \": ",
        "bbox": [
            179,
            125,
            736,
            151
        ],
        "page_idx": 36
    },
    {
        "type": "text",
        "text": "{{text}} $= >$ ||| {{filter_type(zip(entities, entity_types), allowed_types [type_idx]) | join(\" | \")}} ",
        "bbox": [
            179,
            162,
            818,
            189
        ],
        "page_idx": 36
    },
    {
        "type": "text",
        "text": "(Entity Typing, Prompt 2) ",
        "text_level": 1,
        "bbox": [
            179,
            222,
            361,
            237
        ],
        "page_idx": 36
    },
    {
        "type": "text",
        "text": "{% if entity_types.__len__() > 0 %} ",
        "bbox": [
            183,
            243,
            486,
            256
        ],
        "page_idx": 36
    },
    {
        "type": "text",
        "text": "Based on the list of potential entity types and ignore their order: ",
        "bbox": [
            178,
            257,
            767,
            270
        ],
        "page_idx": 36
    },
    {
        "type": "text",
        "text": "- {{shuffle(allowed_types) | join(\"\\n- \")}} ",
        "bbox": [
            178,
            280,
            558,
            295
        ],
        "page_idx": 36
    },
    {
        "type": "text",
        "text": "the entity \"{{entities[entity_idx]}}\" marked with \"[\" and \"]\" in the following sentence: ",
        "bbox": [
            178,
            306,
            779,
            332
        ],
        "page_idx": 36
    },
    {
        "type": "text",
        "text": "{{text}} ",
        "bbox": [
            181,
            344,
            250,
            357
        ],
        "page_idx": 36
    },
    {
        "type": "text",
        "text": "belongs to ||| {{entity_types[entity_idx]}} {% endif %} ",
        "bbox": [
            178,
            369,
            557,
            395
        ],
        "page_idx": 36
    },
    {
        "type": "text",
        "text": "C.2.5 RELATION CLASSIFICATION",
        "text_level": 1,
        "bbox": [
            176,
            435,
            424,
            450
        ],
        "page_idx": 36
    },
    {
        "type": "text",
        "text": "Relation classification is a fundamental task in information extraction, which identifies the relationships from a list of candidates between two given entities. The problem is a long standing one as it suffers from outrageous cost of data labeling, since manual labeling on knowledge-intensive tasks requires educated annotators that charges high. A de facto data creation method in relation extraction relies on distant supervision, which aligns existing knowledge triples in knowledge bases to text contents automatically, and assume that such alignments are correct in certain conditions. Here we only include TacRED (Zhang et al., 2017) dataset and create several different tasks based on it. ",
        "bbox": [
            173,
            465,
            825,
            563
        ],
        "page_idx": 36
    },
    {
        "type": "text",
        "text": "• Relation Classification: the most traditional task formulation. Given two entities from text and classify their relation from a list of candidates. The form can be either answering the relation directly or in the form of a triple (similar to relation extraction). ",
        "bbox": [
            174,
            570,
            826,
            613
        ],
        "page_idx": 36
    },
    {
        "type": "text",
        "text": "• Knowledge Slot Filling: change the task into given head entity and relation, to identify whether the tail entity exists in the input text. If not, generate nothing. ",
        "bbox": [
            173,
            614,
            821,
            643
        ],
        "page_idx": 36
    },
    {
        "type": "text",
        "text": "• Yes or No Question: turn the problem into a task similar to natural language inference. For example, given the sentence “The series focuses on the life of Carnie Wilson, daughter of Brian Wilson, founder of the Beach Boys.”, the model will be asked to judge the correctness of a triple such as Carnie Wilson, father, Brian Wilson by answering “yes” or “no”. ",
        "bbox": [
            174,
            645,
            825,
            702
        ],
        "page_idx": 36
    },
    {
        "type": "text",
        "text": "(Relation Classification, Prompt 0) ",
        "text_level": 1,
        "bbox": [
            179,
            723,
            421,
            738
        ],
        "page_idx": 36
    },
    {
        "type": "text",
        "text": "{% if entity_types.__len__() > 0 %} Given the following categories of relations: ",
        "bbox": [
            178,
            746,
            566,
            770
        ],
        "page_idx": 36
    },
    {
        "type": "text",
        "text": "- {{shuffle(allowed_relations.values()) | join(\"\\n- \")}} ",
        "bbox": [
            179,
            782,
            671,
            796
        ],
        "page_idx": 36
    },
    {
        "type": "text",
        "text": "predict the relation between \"{{relations[0]['head']}}\" and \"{{relations [0]['tail']}}\" in the following sentence: ",
        "bbox": [
            176,
            808,
            812,
            833
        ],
        "page_idx": 36
    },
    {
        "type": "text",
        "text": "{{text}} ",
        "bbox": [
            181,
            845,
            250,
            858
        ],
        "page_idx": 36
    },
    {
        "type": "text",
        "text": "The relation should be : ||| {{allowed_relations[relations[0]['relation   \n']]}}   \n{% endif %} ",
        "bbox": [
            179,
            871,
            808,
            909
        ],
        "page_idx": 36
    },
    {
        "type": "text",
        "text": "(Relation Classification, Prompt 1) ",
        "text_level": 1,
        "bbox": [
            178,
            103,
            421,
            117
        ],
        "page_idx": 37
    },
    {
        "type": "text",
        "text": "1. (Relation Extraction) Answer the relation between entities in the form of \"( X ; Y ; Z )\": ",
        "bbox": [
            179,
            126,
            781,
            150
        ],
        "page_idx": 37
    },
    {
        "type": "text",
        "text": "{{text}} ",
        "bbox": [
            181,
            162,
            250,
            176
        ],
        "page_idx": 37
    },
    {
        "type": "text",
        "text": "The relation between \"{{relations[0]['head']}}\" and \"{{relations[0][' tail']}}\" is: ||| ( {{relations[0]['head']}} ; {{allowed_relations[ relations[0]['relation']]}} ; {{relations[0]['tail']}} ) ",
        "bbox": [
            179,
            188,
            784,
            227
        ],
        "page_idx": 37
    },
    {
        "type": "text",
        "text": "(Knowledge Slot Filling, Prompt 0) ",
        "text_level": 1,
        "bbox": [
            179,
            252,
            424,
            267
        ],
        "page_idx": 37
    },
    {
        "type": "text",
        "text": "Based on the sentence provided below, infer the missing argument asked by the question: ",
        "bbox": [
            178,
            273,
            800,
            299
        ],
        "page_idx": 37
    },
    {
        "type": "text",
        "text": "{{text}} ",
        "bbox": [
            181,
            311,
            250,
            324
        ],
        "page_idx": 37
    },
    {
        "type": "text",
        "text": "Question: What/Who/Where is \"{{relations[0]['head']}}\" {{ allowed_relations[relations[0]['relation']]}} ? ",
        "bbox": [
            178,
            337,
            683,
            363
        ],
        "page_idx": 37
    },
    {
        "type": "text",
        "text": "Answer: ||| {{relations[0]['tail']}} ",
        "bbox": [
            179,
            375,
            496,
            388
        ],
        "page_idx": 37
    },
    {
        "type": "text",
        "text": "C.2.6 SEMANTIC ROLE LABELING ",
        "text_level": 1,
        "bbox": [
            176,
            420,
            428,
            435
        ],
        "page_idx": 37
    },
    {
        "type": "text",
        "text": "Semantic role labeling is a long-standing information task that wants to identify the semantic arguments related to a given predicate in a sentence. For example, in the sentence “Grant was employed at IBM for 21 years where she held several executive positions.” and the predicate “employed” in it, semantic role labeling identifies the Grant as the subject and IBM as the second object. ",
        "bbox": [
            173,
            446,
            826,
            503
        ],
        "page_idx": 37
    },
    {
        "type": "text",
        "text": "We create two different tasks based on semantic role labelling datasets CoNLL05 (Carreras & Màrquez, 2005), CoNLL12 (Pradhan et al., 2013), and PropBank (Kingsbury & Palmer). ",
        "bbox": [
            174,
            510,
            821,
            539
        ],
        "page_idx": 37
    },
    {
        "type": "text",
        "text": "• Semantic Role Labeling: the traditional task form, where a verb (i.e., predicate) is annotated in text and the model is asked to generate related semantic roles.   \n• Semantic Role Filling: given a verb and and a potential semantic role, the model is asked to judge whether the role exists in the sentence and generate it.   \n• Predicate Recognition: given a segment of a sentence and its corresponding semantic role, identify which verb it is related to. ",
        "bbox": [
            173,
            545,
            826,
            635
        ],
        "page_idx": 37
    },
    {
        "type": "text",
        "text": "(Semantic Role Labeling, Prompt 0) ",
        "text_level": 1,
        "bbox": [
            179,
            650,
            429,
            665
        ],
        "page_idx": 37
    },
    {
        "type": "text",
        "text": "Provided with the target verb \"{{verb}}\" marked with \"[\" and \"]\" in the following sentence, find out its \"{{allowed_types[type_idx]}}\": ",
        "bbox": [
            178,
            671,
            808,
            698
        ],
        "page_idx": 37
    },
    {
        "type": "text",
        "text": "{{text}} $= >$ ||| {% for entity, type in zip(entities, entity_types) %}{% if type $= =$ allowed_types[type_idx] %}{{entity}}{% endif %}{% endfor %} ",
        "bbox": [
            179,
            709,
            805,
            736
        ],
        "page_idx": 37
    },
    {
        "type": "text",
        "text": "(Semantic Role Filling, Prompt 0) ",
        "text_level": 1,
        "bbox": [
            179,
            761,
            415,
            776
        ],
        "page_idx": 37
    },
    {
        "type": "text",
        "text": "Given the following list of argument types: ",
        "bbox": [
            178,
            782,
            558,
            796
        ],
        "page_idx": 37
    },
    {
        "type": "text",
        "text": "$\\begin{array} { r l } { \\mathrm { ~ Z ~ } } & { { } = } \\end{array}$ {{allowed_types | join(\", \")}} ",
        "bbox": [
            179,
            808,
            478,
            821
        ],
        "page_idx": 37
    },
    {
        "type": "text",
        "text": "find out all arguments related to verb \"{{verb}}\" mentioned in the following sentence from left to right, in the form of \"( X ; instance of ; Z )\". ",
        "bbox": [
            178,
            833,
            813,
            871
        ],
        "page_idx": 37
    },
    {
        "type": "text",
        "text": "$\\begin{array}{c} \\{ \\ \\begin{array} { c } { { \\mathrm { ~ ( ~ t ~ e ~ x t ~ ) ~ } \\} } \\end{array} \\} \\begin{array} { = } { > } \\end{array} \\begin{array} { | } { | \\ | } \\end{array} \\begin{array} { } \\end{array} } \\end{array}$ {% for entity, type in zip(entities, entity_types) %}( {{entity}} ; argument type ; {{type}} ) {% endfor %} ",
        "bbox": [
            179,
            883,
            799,
            910
        ],
        "page_idx": 37
    },
    {
        "type": "text",
        "text": "(Predicate Recognition, Prompt 0) ",
        "text_level": 1,
        "bbox": [
            179,
            103,
            418,
            118
        ],
        "page_idx": 38
    },
    {
        "type": "text",
        "text": "FINAL EXAM ",
        "bbox": [
            178,
            126,
            269,
            137
        ],
        "page_idx": 38
    },
    {
        "type": "text",
        "text": "1. Based on the fact that \"{{entities[entity_idx]}}\" is a \"{{ entity_types[entity_idx]}}\", which verb in the following sentence should it related to? ",
        "bbox": [
            178,
            150,
            816,
            188
        ],
        "page_idx": 38
    },
    {
        "type": "text",
        "text": "{{text}} ",
        "bbox": [
            181,
            200,
            250,
            213
        ],
        "page_idx": 38
    },
    {
        "type": "text",
        "text": "Answer: ||| {{verb}} ",
        "bbox": [
            178,
            226,
            354,
            239
        ],
        "page_idx": 38
    },
    {
        "type": "text",
        "text": "C.3 RESULT SOURCES FOR GPT-3, BLOOM-176B, AND OPT-175B ",
        "bbox": [
            176,
            266,
            663,
            281
        ],
        "page_idx": 38
    },
    {
        "type": "text",
        "text": "Here we describe the result sources for GPT-3, BLOOM-176B, and OPT-175B. Other LLMs we may compare are mostly completely closed-sourced; thus, their results are all taken from existing preprints, publications, or the results stored in BIG-bench repository10. ",
        "bbox": [
            174,
            292,
            825,
            335
        ],
        "page_idx": 38
    },
    {
        "type": "text",
        "text": "For GPT-3, while most of its results in this paper are taken from existing literature if not specified, the rest were acquired via our own requesting OpenAI Danvici API are explicitly mentioned. For BLOOM-176B and OPT-175B, if without specific annotation, their results are: ",
        "bbox": [
            174,
            342,
            823,
            385
        ],
        "page_idx": 38
    },
    {
        "type": "text",
        "text": "• Taken from the OPT paper (Zhang et al., 2022). • Taken from the EAI-Eval BigScience Arch&Scale - Google Sheet11. • Taken from BigScience evaluation results repository in Huggingface Datasets1 2 ",
        "bbox": [
            173,
            391,
            714,
            439
        ],
        "page_idx": 38
    },
    {
        "type": "text",
        "text": "Specifically, we cannot evaluate OPT-175B by ourselves as we are still not officially granted the checkpoint, though we have sent several applications in the past few months. ",
        "bbox": [
            173,
            445,
            820,
            474
        ],
        "page_idx": 38
    },
    {
        "type": "text",
        "text": "C.4 PILE TEST-SET EVALUATION ",
        "text_level": 1,
        "bbox": [
            176,
            492,
            415,
            506
        ],
        "page_idx": 38
    },
    {
        "type": "text",
        "text": "Pile evalution (Gao et al., 2020) is a comprehensive language modeling benchmark which originally includes 22 different text datasets from diverse domains. We report our results over a part of 18 datasets with previously reported baseline results (Lieber et al., 2021). Different from traditional language modeling benchmarks, Pile evaluation report the BPB (bits-per-byte) perplexity to avoid the mismatch comparison between models with different vocabularies. Because in general, language models with a larger vocabulary will be favored in perplexity comparison if not restricted. In the evaluation, we strictly follow the setting in (Gao et al., 2020), leveraging [gMASK] and a context-length of 1,024 with bidirectional attention, and the rest 1024 tokens to calculate BPB in an autoregressive manner. The weighted average BPB are calculated based on each shared dataset’s ratio in Pile training-set (Gao et al., 2020). ",
        "bbox": [
            174,
            517,
            504,
            781
        ],
        "page_idx": 38
    },
    {
        "type": "table",
        "img_path": "images/f74959fcfdf1079439c325e662cbef5fd36f16e7a859438c03b6c48905121c26.jpg",
        "table_caption": [
            "Table 13: GLM-130B and its similar-sized LLMs’ BPB results on Pile test-set. "
        ],
        "table_footnote": [],
        "table_body": "<table><tr><td colspan=\"4\">Jurassic-1 GPT-3 GLM-130B</td></tr><tr><td>dm_mathematics</td><td>1.040</td><td>1.370</td><td>0.786</td></tr><tr><td>ubuntu_irc</td><td>0.857</td><td>0.946</td><td>0.977</td></tr><tr><td>opensubtitles</td><td>0.879</td><td>0.932</td><td>0.889</td></tr><tr><td>hackernews</td><td>0.869</td><td>0.975</td><td>0.873</td></tr><tr><td>books33</td><td>0.835</td><td>0.802</td><td>0.803</td></tr><tr><td>pile_cc</td><td>0.669</td><td>0.698</td><td>0.771</td></tr><tr><td>philpapers</td><td>0.741</td><td>0.723</td><td>0.766</td></tr><tr><td>gutenberg_pg_19</td><td>0.890</td><td>1.160</td><td>0.821</td></tr><tr><td>arxiv</td><td>0.680</td><td>0.838</td><td>0.570</td></tr><tr><td>stackexchange</td><td>0.655</td><td>0.773</td><td>0.611</td></tr><tr><td>nih_exporter</td><td>0.590</td><td>0.612</td><td>0.614</td></tr><tr><td></td><td>0.587</td><td>0.625</td><td>0.610</td></tr><tr><td>pubmed_abstracts</td><td></td><td></td><td>0.537</td></tr><tr><td>uspto_backgrounds pubmed_central</td><td>0.537</td><td>0.566</td><td></td></tr><tr><td>freelaw</td><td>0.579</td><td>0.690</td><td>0.510 0.499</td></tr><tr><td>github</td><td>0.514 0.358</td><td>0.612 0.645</td><td>0.329</td></tr><tr><td>enron_emails</td><td></td><td>0.958</td><td>0.604</td></tr><tr><td>youtube_subtitles</td><td>0.621 0.825</td><td>0.815</td><td>0.746</td></tr><tr><td></td><td></td><td></td><td></td></tr><tr><td>Weighted Avg.</td><td>0.650</td><td>0.742</td><td>0.634</td></tr></table>",
        "bbox": [
            522,
            517,
            828,
            785
        ],
        "page_idx": 38
    },
    {
        "type": "text",
        "text": "The detailed metrics on Pile test-set are reported in Table 13. We observe that compared to GPT3, GLM-130B has a noticeable weaker performance on phil_papers and pile_cc, which is likely because of GLM-130B’s bilingual natural and lack of more diverse and high-quality private collected corpora. ",
        "bbox": [
            173,
            789,
            826,
            844
        ],
        "page_idx": 38
    },
    {
        "type": "text",
        "text": "C.5 BIG-BENCH-LITE EVALUATION ",
        "text_level": 1,
        "bbox": [
            176,
            103,
            434,
            117
        ],
        "page_idx": 39
    },
    {
        "type": "text",
        "text": "Recent works (Wei et al., 2022c; Wang et al., 2022c) reveal that LLMs are capable to do reasoning beyond conventional language tasks. As a response, BIG-bench (Srivastava et al., 2022) is recently set up by crowdsourcing new types of tasks from global researchers to test LLMs unexplored abilities. For economical consideration, we evaluate GLM-130B on an official subset of original 150- task BIG-bench, the BIG-bench-lite with 24 tasks. These tasks can be categorized into two types: one is based on multiple-choice question answering with answer options, and another is direct generation without options. For the first category, we assess the probability of each option’s full content and pick the largest one as the answer; for the second one, we generate the answer using greedy decoding. All evaluations done in BIG-bench are based on [MASK], since answers here are usually short pieces of texts. All results on 24 BIG-bench-lite (Srivastava et al., 2022) datasets of three LLMs are shown in Table 14 and ",
        "bbox": [
            174,
            132,
            552,
            381
        ],
        "page_idx": 39
    },
    {
        "type": "image",
        "img_path": "images/7946f3ec5b0eba21f439862d00ef4e2a0bcde7e370594ab02d68fa9c5809ce8e.jpg",
        "image_caption": [
            "Figure 16: A full scope of BIG-benchlite (24 tasks) evaluation. "
        ],
        "image_footnote": [],
        "bbox": [
            565,
            133,
            820,
            327
        ],
        "page_idx": 39
    },
    {
        "type": "text",
        "text": "Figure 16. We just adopt the original prompts from BIG-bench and use the official implementation to generate priming examples for few-shot evaluation and to calculate the final scores. ",
        "bbox": [
            173,
            382,
            823,
            410
        ],
        "page_idx": 39
    },
    {
        "type": "text",
        "text": "C.6 MMLU EVALUATION ",
        "text_level": 1,
        "bbox": [
            176,
            435,
            366,
            449
        ],
        "page_idx": 39
    },
    {
        "type": "text",
        "text": "All results on 57 MMLU (Hendrycks et al., 2021) datasets of GLM-130B and BLOOM 176B are shown in Table 15. In Section 5.2, we report weighted average accuracy (i.e., accuracy average per sample, rather than by discipline) of GLM-130B, GPT-3 175B, and BLOOM 176B. ",
        "bbox": [
            174,
            465,
            821,
            507
        ],
        "page_idx": 39
    },
    {
        "type": "text",
        "text": "Below is a prompted example with 1-shot priming. We predict the probability on $[ ^ { \\prime } \\mathbb { A } ^ { \\prime } \\ , \\ ^ { \\prime } \\mathbb { B } ^ { \\prime }$ , $\\prime _ { \\mathrm { ~ C ~ } ^ { \\prime } } , \\quad \\prime _ { \\mathrm { ~ D ~ } ^ { \\prime } } ]$ at the next token, and take the one with the maximal probability as the answer. ",
        "bbox": [
            171,
            513,
            820,
            542
        ],
        "page_idx": 39
    },
    {
        "type": "text",
        "text": "(MMLU 1-shot Example) ",
        "text_level": 1,
        "bbox": [
            178,
            559,
            357,
            574
        ],
        "page_idx": 39
    },
    {
        "type": "text",
        "text": "The following are multiple choice questions about philosophy. ",
        "bbox": [
            179,
            580,
            714,
            594
        ],
        "page_idx": 39
    },
    {
        "type": "text",
        "text": "According to d'Holbach, people always act according to   \n(A) free choices (B) dictates of the soul (C) necessary natural laws (D)   \nundetermined will   \nAnswer: (C) necessary natural laws Epicurus holds that philosophy is:   \n(A) not suitable for the young. (B) not suitable for the old. (C) important, but unpleasant. (D) none of the above.   \nAnswer: ( ",
        "bbox": [
            178,
            606,
            812,
            656
        ],
        "page_idx": 39
    },
    {
        "type": "text",
        "text": "",
        "bbox": [
            176,
            669,
            750,
            719
        ],
        "page_idx": 39
    },
    {
        "type": "text",
        "text": "C.7 CHINESE LANGUAGE UNDERSTANDING EVALUATION ",
        "text_level": 1,
        "bbox": [
            174,
            755,
            586,
            770
        ],
        "page_idx": 39
    },
    {
        "type": "text",
        "text": "Here we elaborate the prompts we use for CLUE (Xu et al., 2020) and FewCLUE (Xu et al., 2021) evaluation. On Chinese datasets, prompting meets some challenges as Chinese texts are organized by single characters rather than words, leading to unequal length of verbalizers in many cases. Albeit dataset-specific calibration (Wang et al., 2021; Wu et al., 2021) can help to mitigate the issue, the too specified technique can be complicated in implementation. Our evaluation in this paper adopts a more easy to solve method leveraging GLM-130B’s unique features. As GLM-130B is a bilingual LLM with English MIP, we adopt English prompts and verbalizers from similar tasks in (Bach et al., 2022) for Chinese dataset evaluation and find such strategies to be quite effective. In terms of evaluation metrics, except for DRCD and CMRC2018 two question answering datasets which reports EM, other datasets report accuracy. ",
        "bbox": [
            173,
            784,
            825,
            924
        ],
        "page_idx": 39
    },
    {
        "type": "text",
        "text": "C.8 NATURAL LANGUAGE GENERATION ",
        "text_level": 1,
        "bbox": [
            178,
            103,
            465,
            117
        ],
        "page_idx": 40
    },
    {
        "type": "text",
        "text": "Natural language generation, or conditional natural language generation here, refers to tasks that require generating text based on the given information, such as tables and documents. We evaluate GLM-130B on data-to-text and summarization tasks. The datasets include WebNLG 2020 (Castro Ferreira et al., 2020), Clean E2E NLG (Dušek et al., 2019) and WikiLingua (Scialom et al., 2020) from GEM generation benchmark (Gehrmann et al., 2021). We select full WebNLG 2020 and the Clean E2E NLG in the test set and randomly select 5000 test examples from WikiLingua following the practice in (Chowdhery et al., 2022). Following the settings in PaLM, the prompt used for the Summarization tasks is “Summarize the following article:” and the prompt used for the Data-to-Text tasks is “Verbalize:”. An exception is E2E, where we process the data using the prompt “generate-gramatically-correct-text from” provided in promptsource for GLM-130B and GPT-3 175B (Davinci). All evaluations are one-shot, and the demonstration samples are randomly sampled from the training set. We report the F-measure of ROUGE-2, ROUGE-L (Lin, 2004) and BLEURT-20 (Pu et al., 2021). We compare our model with LaMDA, GPT-3 175B (Davinci), and PaLM, where the results of LaMDA and PaLM are reported by (Chowdhery et al., 2022), and we evaluate GPT-3 175B (Davinci) through OpenAI API.13 ",
        "bbox": [
            174,
            131,
            825,
            338
        ],
        "page_idx": 40
    },
    {
        "type": "text",
        "text": "Our results are presented in Table 16. It shows that GLM-130B has better performances than LaMDA and GPT-3 (Davinci) on all tasks. In the Data-to-text task, GLM-130B performs slightly worse than PaLM-540B, while in the summary task, GLM-130B has even higher ROUGE results. We also ablate GLM-130B to unidirectional to demonstrate the advantage of bidirectional attention. Unidirectional GLM-130B underperforms GPT-3 175B in all three datasets, but when it shifts to bidirectional attention, there is an instant boost, making GLM-130B even comparable to PaLM540B in a few cases. It indicates that bidirectional attention over the provided context (i.e., prefix) can also be beneficial for text generation missions. ",
        "bbox": [
            174,
            345,
            825,
            457
        ],
        "page_idx": 40
    },
    {
        "type": "table",
        "img_path": "images/ed6bb4d3edafc673840026c2995da81db68fed9d994c2e39ebfe9ae063cae074.jpg",
        "table_caption": [
            "Table 16: 1-shot GEM English natural language generation tasks (WebNLG, E2E, and WikiLingua). We compare two versions of GLM-130B (uni: unidirectional attention, bi: bidirectional attention), showing that bidirectional attention can also improve conditional generation’s performance. "
        ],
        "table_footnote": [],
        "table_body": "<table><tr><td rowspan=\"2\">Task</td><td rowspan=\"2\">Dataset</td><td rowspan=\"2\">Metric</td><td rowspan=\"2\">LaMDA 137B</td><td rowspan=\"2\">GPT-3175B (Davinci)</td><td colspan=\"2\">GLM-130B</td><td rowspan=\"2\">PaLM-540B</td></tr><tr><td>uni</td><td>bi</td></tr><tr><td rowspan=\"5\">Data to Text</td><td rowspan=\"3\">WebNLG</td><td>ROUGE-2</td><td>30.5</td><td>29.9</td><td>25.3</td><td>38.5</td><td>44.4</td></tr><tr><td>ROUGE-L</td><td>-</td><td>41.2</td><td>36.7</td><td>49.3</td><td>53.8</td></tr><tr><td>BLEURT-20</td><td>1</td><td>59.0</td><td>53.2</td><td>67.7</td><td>73.9</td></tr><tr><td rowspan=\"3\">E2E</td><td>ROUGE-2</td><td>29.2</td><td>30.3</td><td>30.9</td><td>33.9</td><td>35.2</td></tr><tr><td>ROUGE-L</td><td>-</td><td>39.2</td><td>40.0</td><td>42.6</td><td>43.9</td></tr><tr><td>BLEURT-20</td><td>-</td><td>64.5</td><td>65.0</td><td>68.1</td><td>69.7</td></tr><tr><td rowspan=\"3\"> Summary</td><td rowspan=\"3\">WikiLingua</td><td>ROUGE-2</td><td>5.4</td><td>7.2</td><td>5.8</td><td>10.4</td><td>9.9</td></tr><tr><td>ROUGE-L</td><td></td><td>18.9</td><td>16.4</td><td>23.4</td><td>20.6</td></tr><tr><td>BLEURT-20</td><td>-</td><td>41.2</td><td>39.4</td><td>45.0</td><td>47.7</td></tr></table>",
        "bbox": [
            196,
            513,
            797,
            688
        ],
        "page_idx": 40
    },
    {
        "type": "text",
        "text": "(E2E Example, without demonstration sample) ",
        "text_level": 1,
        "bbox": [
            176,
            699,
            508,
            713
        ],
        "page_idx": 40
    },
    {
        "type": "text",
        "text": "Aleksandr_Prudnikov , height , 185.0 (centimetres). FC_Spartak_Moscow , ground , Otkrytiye_Arena. Aleksandr_Prudnikov , club , FC_Spartak_Moscow. Verbalize: ",
        "bbox": [
            178,
            720,
            625,
            771
        ],
        "page_idx": 40
    },
    {
        "type": "text",
        "text": "Groundtruth: 185 centimetre tall Aleksandr Prudnikov played for the Otkrytiye Arena based FC Spartak, Moscow. ",
        "bbox": [
            176,
            790,
            818,
            815
        ],
        "page_idx": 40
    },
    {
        "type": "text",
        "text": "GPT-3 175B (Davinci): Aleksandr Prudnikov is a midfielder for FC Spartak Moscow, a football (soccer) club based in Moscow, Russia. ",
        "bbox": [
            178,
            820,
            818,
            847
        ],
        "page_idx": 40
    },
    {
        "type": "text",
        "text": "GLM-130B: Aleksandr Prudnikov is $1 8 5 . 0 \\mathrm { c m }$ tall and plays for FC Spartak Moscow. ",
        "bbox": [
            181,
            852,
            689,
            866
        ],
        "page_idx": 40
    },
    {
        "type": "text",
        "text": "(E2E Example, without demonstration sample) ",
        "text_level": 1,
        "bbox": [
            181,
            103,
            506,
            117
        ],
        "page_idx": 41
    },
    {
        "type": "text",
        "text": "Combine all of the following data into a concise and grammatically correct text: ",
        "bbox": [
            179,
            126,
            761,
            150
        ],
        "page_idx": 41
    },
    {
        "type": "text",
        "text": "name : Blue Spice eatType : coffee shop area : riverside ",
        "bbox": [
            178,
            151,
            366,
            188
        ],
        "page_idx": 41
    },
    {
        "type": "text",
        "text": "Groundtruth: At the riverside, there is a coffee shop called The Blue Spice. ",
        "bbox": [
            178,
            207,
            633,
            219
        ],
        "page_idx": 41
    },
    {
        "type": "text",
        "text": "GPT-3 175B (Davinci): Blue Spice is a riverside coffee shop which is located on the corner of River Street and Riverbank Street. ",
        "bbox": [
            181,
            224,
            818,
            251
        ],
        "page_idx": 41
    },
    {
        "type": "text",
        "text": "GLM-130B: There’s a coffee shop that serves coffee in the riverside area, Blue Spice. ",
        "bbox": [
            176,
            257,
            687,
            270
        ],
        "page_idx": 41
    },
    {
        "type": "text",
        "text": "(WikiLingua Example, without demonstration sample) ",
        "text_level": 1,
        "bbox": [
            178,
            273,
            563,
            286
        ],
        "page_idx": 41
    },
    {
        "type": "text",
        "text": "The majority of your customers will search for you online, so it's essential to have a user-friendly website. At the very least, your website should include information about your business and your history in the moving industry, details about the quoting process, contact information, and a description of the services you offer. If possible, allow customers to schedule quotes online, view your availability, or read testimonials from other customers. One of the easiest ways to start your business is by helping people you already know with their moves. You can be on the lookout for any announcements related to moving that your friends make on social media. Once you have provided good service to friends, they are likely to recommend you to others. In order to spread the word about your business, have some professional looking promotional materials printed and distribute them around your community. ",
        "bbox": [
            178,
            294,
            813,
            458
        ],
        "page_idx": 41
    },
    {
        "type": "text",
        "text": "the article: ",
        "bbox": [
            186,
            811,
            292,
            821
        ],
        "page_idx": 41
    },
    {
        "type": "text",
        "text": "Groundtruth: Create a website. Start with friends. Distribute business cards and flyers. Network for promotion. Seek out free advertising opportunities. Consider paid advertising. Gain a good reputation. ",
        "bbox": [
            179,
            840,
            818,
            867
        ],
        "page_idx": 41
    },
    {
        "type": "text",
        "text": "GPT-3 175B (Davinci): Market yourself online. Look for opportunities to market your services offline. ",
        "bbox": [
            181,
            872,
            789,
            886
        ],
        "page_idx": 41
    },
    {
        "type": "text",
        "text": "GLM-130B: Have a user-friendly website. Promote your business through social media. Build relationships with influential people in your community. Use directory sites like Craigslist to advertise your services. ",
        "bbox": [
            179,
            891,
            816,
            917
        ],
        "page_idx": 41
    },
    {
        "type": "table",
        "img_path": "images/4209a7963126c4f7c72e3e9ad2b5b91a70014455f09c73ba4cad097fbffe9a43.jpg",
        "table_caption": [
            "Table 17: Winograd-style tasks evaluation (Winogender and Winograd273). All scores are accuracy. K refers to number of shots. $^ { * } \\mathrm { P a L M } 5 4 0 \\mathrm { B }$ did not report the exact 0-shot Winogender result, so we have to estimate a value from its plotted diagram. "
        ],
        "table_footnote": [],
        "table_body": "<table><tr><td></td><td>K</td><td>GPT-3 (Davinci)</td><td>OPT 175B</td><td>BLOOM 176B</td><td>PaLM 540B</td><td>Chinchilla</td><td>Gopher 280B</td><td>GLM-130B</td></tr><tr><td>Winogender</td><td>0</td><td>64.2</td><td>54.8</td><td>49.1</td><td>75.0*</td><td>78.3</td><td>71.4</td><td>79.7</td></tr><tr><td></td><td>1</td><td>62.6</td><td>-</td><td>53.1</td><td>79.4</td><td>-</td><td>二</td><td>80.7</td></tr><tr><td>Winograd273</td><td>0</td><td>88.3</td><td>52.9</td><td>49.1</td><td>90.1</td><td>-</td><td>-</td><td>84.3</td></tr></table>",
        "bbox": [
            173,
            154,
            825,
            248
        ],
        "page_idx": 42
    },
    {
        "type": "table",
        "img_path": "images/986291ed83a11cfca6cfa50b3e3716adb802590dac0a35daad53d8e8ba97c82d.jpg",
        "table_caption": [
            "Table 18: Closed-book question answering (Natural Questions, StrategyQA). "
        ],
        "table_footnote": [],
        "table_body": "<table><tr><td></td><td>GPT-3 (Davinci)</td><td>BLOOM 176B</td><td>PaLM 540B</td><td>Chinchilla</td><td>Gopher 280B</td><td>GLM-130B</td></tr><tr><td>Natural Questions (EM)</td><td>14.6</td><td>13.1</td><td>21.2</td><td>16.6</td><td>10.1</td><td>11.7</td></tr><tr><td>StrategyQA (Acc)</td><td>52.3</td><td>49.8</td><td>64.0</td><td>-</td><td>-</td><td>60.6</td></tr></table>",
        "bbox": [
            181,
            305,
            813,
            386
        ],
        "page_idx": 42
    },
    {
        "type": "table",
        "img_path": "images/be05480b612c96d6f1d59d2c67fae78f62c3da3e4c3093eff2e96605bccd3a0e.jpg",
        "table_caption": [
            "Table 19: Commonsense reasoning (Commonsense QA, MC-TACO). K refers to number of shots. "
        ],
        "table_footnote": [],
        "table_body": "<table><tr><td></td><td>K</td><td>GPT-3 (Davinci)</td><td>OPT175B</td><td>BLOOM 176B</td><td>GLM-130B</td></tr><tr><td rowspan=\"2\">Commonsense QA (Acc)</td><td>0</td><td>57.2</td><td></td><td>42.8</td><td>61.6</td></tr><tr><td>1</td><td>61.2</td><td>1</td><td>1</td><td>62.2</td></tr><tr><td>MC-TACO (EM)</td><td>0</td><td>1</td><td>12.4</td><td>13.1</td><td>13.6</td></tr></table>",
        "bbox": [
            181,
            441,
            813,
            522
        ],
        "page_idx": 42
    },
    {
        "type": "text",
        "text": "C.9 WINOGRAD-STYLE TASKS ",
        "text_level": 1,
        "bbox": [
            176,
            546,
            401,
            561
        ],
        "page_idx": 42
    },
    {
        "type": "text",
        "text": "We include the evaluation on Winograd-style tasks, which derives from the classical Winograd Schemas Challenge (Levesque et al., 2012) that aims to test coreference resolution in an ambiguous context for the machine to understand. Since in MIP, we have included the Winogrande (Sakaguchi et al., 2021) and SuperGLUE WSC (Wang et al., 2019), here we test on Winogender (Rudinger et al., 2018) and Winograd273 (Levesque et al., 2012). For Winogender, GPT-3’s results are acquired from OpenAI API, and BLOOM’s 1-shot result is evaluated by ourselves. For Winograd273, since existing works (Brown et al., 2020; Chowdhery et al., 2022) show that 1-shot learning brings almost no improvement, we only test the zero-shot result. Another thing to notice is that, despite GPT-style models (e.g., GPT-3, PaLM) adopting the “partial evaluation” described in (Radford et al., 2019), we find the prompt “<sentence> The \"<pronoun>\" refers to [MASK]” is better for GLM-130B and adopt it in the evaluation. ",
        "bbox": [
            173,
            573,
            825,
            726
        ],
        "page_idx": 42
    },
    {
        "type": "text",
        "text": "The results are presented in Table 17. GLM-130B performs the best across all evaluated LLM on Winogender, and marginally poorer than GPT-3 and PaLM on Winograd273. ",
        "bbox": [
            176,
            732,
            820,
            761
        ],
        "page_idx": 42
    },
    {
        "type": "text",
        "text": "C.10 CLOSED-BOOK QUESTION ANSWERING ",
        "text_level": 1,
        "bbox": [
            178,
            779,
            500,
            792
        ],
        "page_idx": 42
    },
    {
        "type": "text",
        "text": "Closed-book question answering (CBQA) (Roberts et al., 2020) is a widely adopted task to evaluate language models’ memorization of factual knowledge, on contrary to the traditional “open-book” evaluation. As we have included TriviaQA (Joshi et al., 2017) and WebQuestions (Berant et al., 2013) in the MIP training, here we choose Natural Questions (Kwiatkowski et al., 2019) and StrategyQA (Geva et al., 2021) as the evaluation datasets for CBQA. ",
        "bbox": [
            174,
            804,
            825,
            875
        ],
        "page_idx": 42
    },
    {
        "type": "text",
        "text": "The results are presented in Table 18. GLM-130B performs relatively poorer on Natural Questions and performs well on StrategyQA. GLM-130B’s underperformance on Natural Questions, we speculate, potentially derives from the insufficiency fitting on English corpora, as it roughly only viewed ",
        "bbox": [
            176,
            882,
            823,
            924
        ],
        "page_idx": 42
    },
    {
        "type": "text",
        "text": "200B English tokens and thus does not memorize the detailed knowledge very well. Since CBQA seems to be a task that especially stresses memorization, as is indicated by Chinchilla (Hoffmann et al., 2022)’s a strong performance, we think with sufficient training later, GLM-130B can perform better. ",
        "bbox": [
            174,
            103,
            823,
            160
        ],
        "page_idx": 43
    },
    {
        "type": "text",
        "text": "C.11 COMMONSENSE REASONING",
        "text_level": 1,
        "bbox": [
            176,
            181,
            426,
            195
        ],
        "page_idx": 43
    },
    {
        "type": "text",
        "text": "Here we evaluate GLM-130B and some other LLMs on commonsense reasoning abilities. As we have included PIQA (Bisk et al., 2020), ARC (Clark et al., 2018), and OpenbookQA (Mihaylov et al., 2018) in the MIP training, we select another two widely adopted commonsense reasoning datasets in our evaluation: Commonsense QA (Talmor et al., 2019) and Multiple-choice Temporal Commonsense (MC-TACO, Zhou et al. (2019)). For Commonsense QA, we test the GPT-3 via OpenAI Davinci API, BLOOM-176B via its Huggingface Implementation, and GLM-130B using the prompt “answer_given_question_without_options” from promptsource (Bach et al., 2022). For StrategyQA, we follow the EM computation method provided in (Zhou et al., 2019). ",
        "bbox": [
            174,
            209,
            825,
            321
        ],
        "page_idx": 43
    },
    {
        "type": "text",
        "text": "The results are shown in Table 19. As we can see, GLM-130B performs the best on both Commonsense QA and MC-TACO across evaluated LLMs, demonstrating that GLM-130B has a good grasp of commonsense knowledge. OPT’s results are not included due to the reason described in Appendix C.3. ",
        "bbox": [
            176,
            328,
            825,
            383
        ],
        "page_idx": 43
    },
    {
        "type": "text",
        "text": "C.12 FIXED LABEL DATASETS: A CASE STUDY IN NATURAL LANGUAGE INFERENCE ",
        "bbox": [
            176,
            406,
            776,
            420
        ],
        "page_idx": 43
    },
    {
        "type": "text",
        "text": "As is discussed in Section 5, we adopt a rather strict criterion for selecting datasets for zero/few-shot learning in GLM-130B’s evaluation due to the use of MIP. Nevertheless, the criterion significantly reduces the dataset we could currently evaluate, and especially some readers have doubted whether the restriction of not evaluating on MIP-seen fixed-label datasets is necessary (e.g., natural language inference (NLI)), and suggest that we may report them in an independent section to avoid confusion. ",
        "bbox": [
            174,
            434,
            823,
            503
        ],
        "page_idx": 43
    },
    {
        "type": "text",
        "text": "Frankly speaking, in such a setting GLM-130B’s zero/few-shot learning could be quite advantageous. Below, we take NLI as a typical example to show GLM-130B’s outperformance in the scenarios. We include 6 widely-used NLI datasets–which are not incorporated in GLM-130B’s MIP training, as the benchmarks. The results are presented in Table 20, which shows that GLM-130B’s “zero-shot” performance could be much better due to the seen task type. ",
        "bbox": [
            174,
            511,
            825,
            580
        ],
        "page_idx": 43
    },
    {
        "type": "table",
        "img_path": "images/fa3f6f860515a5520653a4035bb9e172b2f893a9dc71772b981db648bc914436.jpg",
        "table_caption": [
            "Table 20: “Zero-shot” results of GLM-130B on 6 typical natural language inference (NLI) datasets. $^ *$ DISCLAIMER: Despite the datasets are never seen, some other NLI datasets have been included in GLM-130B’s MIP, making it different from the existing standard zero-shot setting. "
        ],
        "table_footnote": [],
        "table_body": "<table><tr><td></td><td>BLOOM176B</td><td>OPT175B</td><td>GLM-130B*</td></tr><tr><td>qnli (valid, median of 5 prompts)</td><td>50.9</td><td>55.4</td><td>86.7</td></tr><tr><td>mnli (valid, median of 15 prompts)</td><td>35.5</td><td>36.0</td><td>85.7</td></tr><tr><td>mnli_mismatched (valid, median of 15 prompts)</td><td>35.5</td><td>36.0</td><td>84.6</td></tr><tr><td>wnli (valid, median of 5 prompts)</td><td>57.7</td><td>53.5</td><td>67.6</td></tr><tr><td>glue/cola (valid, median of 5 prompts)</td><td>39.0</td><td>44.4</td><td>57.6</td></tr><tr><td>glue/mrpc (valid, median of 5 prompts)</td><td>31.6</td><td>44.6</td><td>87.3</td></tr></table>",
        "bbox": [
            179,
            654,
            813,
            768
        ],
        "page_idx": 43
    },
    {
        "type": "text",
        "text": "C.13 SUPERGLUE ",
        "text_level": 1,
        "bbox": [
            174,
            797,
            320,
            813
        ],
        "page_idx": 43
    },
    {
        "type": "text",
        "text": "We also report our evaluation of GLM-130B on the SuperGLUE (Wang et al., 2019) benchmark, which consists 8 different natural language understanding challenges. Noted that these results are neither zero/few-shot nor fine-tuned results, because 7 out of 8 tasks’ training sets have been included in GLM-130B’s MIP training (except for ReCoRD) together with other 67 multi-task datasets; however, GLM-130B is also not individually fine-tuned on any of them. Therefore, these results are not for relative comparison for any other models’, but only for readers’ reference on GLM-130B’s absolute ability. ",
        "bbox": [
            174,
            825,
            825,
            924
        ],
        "page_idx": 43
    },
    {
        "type": "image",
        "img_path": "images/f55bb0dce90be1d84f3a233001579f48bc4c0a4525e3554ecddd4b386950fcb8.jpg",
        "image_caption": [
            "Figure 17: GLM-130B (uni and bi)’s untuned results on SuperGLUE development set, using promptsource (Bach et al., 2022) prompts and task formulation. DISCLAIMER: Noted that some of the SuperGLUE training sets have been included in the MIP training. We report the results here only for readers’ reference. "
        ],
        "image_footnote": [],
        "bbox": [
            173,
            99,
            821,
            215
        ],
        "page_idx": 44
    },
    {
        "type": "image",
        "img_path": "images/7a0df67091ca37c3cd95d35f352b4c21534f3fcee8cabf3b659eaf309a079cfe.jpg",
        "image_caption": [
            "Figure 18: Chain-of-thought prompting can also improve GLM-130B’s performance on reasoning tasks compared to standard prompting. "
        ],
        "image_footnote": [],
        "bbox": [
            235,
            295,
            759,
            416
        ],
        "page_idx": 44
    },
    {
        "type": "table",
        "img_path": "images/468cef0113b1ec3d66be2e545b6da60296df63396408e83515976aa568a747db.jpg",
        "table_caption": [
            "Table 21: The results of GLM-130B on the SuperGLUE dataset obtained using the P-tuning v2 (Liu et al., 2022). We report the Accuracy metric for all datasets except for MultiRC (F1a) and ReCoRD (F1). "
        ],
        "table_footnote": [],
        "table_body": "<table><tr><td></td><td>BoolQ</td><td>CB</td><td>COPA</td><td>MultiRC</td><td>ReCoRD</td><td>RTE</td><td>WiC</td><td>wSC</td></tr><tr><td>GLM-130B</td><td>89.69</td><td>98.21</td><td>100</td><td>89.32</td><td>92.11</td><td>94.22</td><td>76.96</td><td>88.5</td></tr></table>",
        "bbox": [
            194,
            479,
            803,
            525
        ],
        "page_idx": 44
    },
    {
        "type": "text",
        "text": "The results are presented in Figure 17. We ablate the unidirectional and bidirectional GLM-130B to justify the usefulness of GLM objective in boosting LLMs’ ability to understand. Each point in the figure refers to a prompt-specific result, for which the prompt is from the promptsource (Bach et al., 2022) repository. We adopt the task formulation from promptsource, too. As we can observe, GLM (bi) has much fewer variances and higher performances on all tasks. For some of the tasks (such as CB, MultiRC, RTE, COPA, and BoolQ), GLM-130B can even achieve over $80 \\%$ accuracy. ",
        "bbox": [
            174,
            604,
            825,
            689
        ],
        "page_idx": 44
    },
    {
        "type": "text",
        "text": "We also attempted to fine-tune GLM-130B on the SuperGLUE dataset. However, we encountered the issue of rapid overfitting within a single epoch when we used full parameter fine-tuning on downstream tasks. This resulted in poor performance on the validation set. To address this issue, we explored the use of efficient parameter fine-tuning methods, which tune only a small number of parameters and are less prone to overfitting. After experimenting with several methods, we use P-Tuning v2 (Liu et al., 2022), which demonstrated comparable results to full parameter fine-tuning in GLM-130B, but with only $0 . 1 \\%$ to $3 \\%$ of tuned parameters. The results of our experiments with P-Tuning v2 are presented in Table 21. ",
        "bbox": [
            174,
            695,
            825,
            808
        ],
        "page_idx": 44
    },
    {
        "type": "text",
        "text": "C.14 CHAIN-OF-THOUGHT PROMPTING ",
        "text_level": 1,
        "bbox": [
            178,
            827,
            464,
            840
        ],
        "page_idx": 44
    },
    {
        "type": "text",
        "text": "We evaluate the chain-of-thought prompting performance on Last letter concatenation (LLC), Coin Flip, Reverse List, and two tasks from BIG-bench Srivastava et al. (2022) Sports understanding, and Date understanding, following the setting in Wei et al. (2022c). The results are shown in Figure 17. We find that chain-of-thought prompting can improve GLM-130B’s performance on symbolic reasoning and commonsense reasoning. ",
        "bbox": [
            176,
            854,
            823,
            924
        ],
        "page_idx": 44
    },
    {
        "type": "text",
        "text": "Log-scaling Ability Tasks ",
        "text_level": 1,
        "bbox": [
            179,
            106,
            354,
            121
        ],
        "page_idx": 45
    },
    {
        "type": "image",
        "img_path": "images/137056cee4899dcdc5d8380ee26047bc23178f4d822fd5e9550df31f7ecf9e48.jpg",
        "image_caption": [
            "Figure 19: Log-scaling ability tasks of GLM-130B. These tasks’ performance grows logarithmically with the amount of GLM parameters. Most of traditional NLP tasks fall into the same pattern. "
        ],
        "image_footnote": [],
        "bbox": [
            171,
            127,
            823,
            287
        ],
        "page_idx": 45
    },
    {
        "type": "text",
        "text": "Last letter concatenation (LLC). The task asks the model to concatenate the last letters of words in a name (e.g., \"Elon Musk\" $- >$ \"nk\"). We generate full names by randomly concatenating the top 1000 first and last names from name census data14. ",
        "bbox": [
            174,
            356,
            825,
            398
        ],
        "page_idx": 45
    },
    {
        "type": "text",
        "text": "Coin flip. This task asks the model to answer whether a coin is still heads up after people either flip or don’t flip it beginning from being heads up. (e.g., \"A coin is heads up. Phoebe flips the coin. Osvaldo does not flip the coin. Is the coin still heads up?\" $- >$ \"no\"). We additionally evaluate on the scenario where the number of people in the query examples is larger than that in the in-context examples, i.e. the out-of-distribution (OOD) setting. ",
        "bbox": [
            174,
            406,
            825,
            476
        ],
        "page_idx": 45
    },
    {
        "type": "text",
        "text": "Reverse List. This task asks the model to reverse the order of a list of everyday objects (e.g., \"cigar, umbrella, key, gum, alarm\" $- >$ \"alarm, gum, key, umbrella, cigar\"). We generate the lists by randomly sampling from the vocabulary of everyday objects15. ",
        "bbox": [
            174,
            483,
            825,
            525
        ],
        "page_idx": 45
    },
    {
        "type": "text",
        "text": "Sports. This task asks the model to judge the truthfulness of a statement about a sports player (e.g., \"Joao Moutinho caught the screen pass in the NFC championship\" $- >$ \"false\"). ",
        "bbox": [
            171,
            531,
            821,
            560
        ],
        "page_idx": 45
    },
    {
        "type": "text",
        "text": "Date. This task asks the model to infer the data from a given context (e.g., \"2015 is coming in 36 hours. What is the date one week from today in MM/DD/YYYY?\" -> \"01/05/2015\"). ",
        "bbox": [
            171,
            566,
            823,
            595
        ],
        "page_idx": 45
    },
    {
        "type": "text",
        "text": "We use the same examples and chains as Wei et al. (2022c). For each task, we try two different formats of prompts and both unidirectional and bidirectional attention mechanism and report the best performance. The first format is \"Question: {context} Answer: {target}\". The second one is to add serial numbers before examples in the first format of prompts. The results are presented in Figure 18. ",
        "bbox": [
            174,
            602,
            825,
            672
        ],
        "page_idx": 45
    },
    {
        "type": "text",
        "text": "D SCALING AND EMERGENT ABILITIES IN GLM-130B ",
        "text_level": 1,
        "bbox": [
            174,
            695,
            647,
            712
        ],
        "page_idx": 45
    },
    {
        "type": "text",
        "text": "Scaling up pre-trained language models has been proven to boost downstream performance on a wide range of tasks continually. His, emergent abilities which are unpredictable from smaller scales. To illustrate this, we conducted extensive experiments to explore the scaling property and emergent abilities. Following prior literature (Wei et al., 2022b), we categorize the NLP tasks into two types based on our observations. ",
        "bbox": [
            174,
            729,
            825,
            799
        ],
        "page_idx": 45
    },
    {
        "type": "text",
        "text": "• Log-scaling Ability Tasks (Cf. Figure 19): where the task performance grows logarithmically with the number of model parameters. Typical tasks and datasets include LAMBADA, Wikitext103, Wikitext-2, Penn Tree Bank. ",
        "bbox": [
            174,
            806,
            820,
            848
        ],
        "page_idx": 45
    },
    {
        "type": "text",
        "text": "• Emergent Ability Tasks (Cf. Figure 20): where the task performance only soars up when the amount of model parameters reaches a certain threshold. Typical tasks and datasets include: ",
        "bbox": [
            178,
            851,
            823,
            878
        ],
        "page_idx": 45
    },
    {
        "type": "text",
        "text": "Emergent Ability Tasks ",
        "text_level": 1,
        "bbox": [
            179,
            107,
            343,
            121
        ],
        "page_idx": 46
    },
    {
        "type": "image",
        "img_path": "images/99994029ac28fce8ea469d4724fa4cb6d882e1114c9a707945a57484c4327d19.jpg",
        "image_caption": [
            "Figure 20: Emergent ability tasks of GLM-130B. These tasks’ performance does not grow much until the model size reaches a certain threshold (e.g., 100B or 10B). After reaching the threshold, the model performance soars up quickly. The BIG-bench (Srivastava et al., 2022) benchmark collects many of these challenges. "
        ],
        "image_footnote": [],
        "bbox": [
            171,
            125,
            821,
            440
        ],
        "page_idx": 46
    },
    {
        "type": "text",
        "text": "MMLU, hindu_knowledge, crass_ai, implicatures, understanding_fables, modified_arithmetic, implicit_relations, and gre_reading_comprehension from BIG-bench (Srivastava et al., 2022). ",
        "bbox": [
            184,
            535,
            823,
            563
        ],
        "page_idx": 46
    },
    {
        "type": "text",
        "text": "In line with the observation in (Wei et al., 2022b), we show that GLM-130B also presents the two similar scaling behaviors to other LLMs such as GPT-3, LaMDA, and PaLM. Though why and how LLMs present these intriguing properties remain unclear, GLM-130B provides open opportunities for all researchers to test and understand the reason behind them. ",
        "bbox": [
            174,
            569,
            825,
            626
        ],
        "page_idx": 46
    },
    {
        "type": "table",
        "img_path": "images/f84fd01d5a5fed9f1de50406b3ece3f64d4dabe76bb46944ba23ab2555f60a2c.jpg",
        "table_caption": [
            "Table 11: Full configurations for GLM-130B training "
        ],
        "table_footnote": [],
        "table_body": "<table><tr><td>Configuration Key</td><td>Value</td></tr><tr><td>adam_beta1</td><td>0.9</td></tr><tr><td>adam_beta2</td><td>0.95</td></tr><tr><td>adam_eps</td><td>1e-08</td></tr><tr><td>aggregated_samples_per_sequence</td><td>4</td></tr><tr><td></td><td>0.1</td></tr><tr><td>attention_dropout attention_softmax_in_fp32</td><td></td></tr><tr><td></td><td>True</td></tr><tr><td>average_block_length</td><td>3</td></tr><tr><td>bias_dropout_fusion</td><td>True True</td></tr><tr><td>checkpoint_activations</td><td></td></tr><tr><td>checkpoint_in_cpu</td><td>False</td></tr><tr><td>checkpoint_num_layers</td><td></td></tr><tr><td>clip_grad contigious_checkpointing</td><td>1.0</td></tr><tr><td></td><td>False</td></tr><tr><td>cpu_optimizer</td><td>False</td></tr><tr><td>data_parallel_size</td><td>24</td></tr><tr><td>deepnorm</td><td>True</td></tr><tr><td>distributed_backend</td><td>nccl</td></tr><tr><td>eval_interval</td><td>1000</td></tr><tr><td>eval_iters ffn_hidden_size</td><td>3</td></tr><tr><td>fp16</td><td>32768</td></tr><tr><td></td><td>True</td></tr><tr><td>global_batch_size glu_activation</td><td>4224</td></tr><tr><td>gpt_prob</td><td>geglu</td></tr><tr><td>hidden_dropout</td><td>0.7</td></tr><tr><td>hidden_size</td><td>0.1</td></tr><tr><td>hysteresis</td><td>12288</td></tr><tr><td>init_method_std</td><td>2 0.0052</td></tr><tr><td>init_method_xavier_uniform</td><td></td></tr><tr><td>initial_loss_scale</td><td>False 65536</td></tr><tr><td>layernorm_epsilon</td><td>1E-05</td></tr><tr><td>learnable_rotary_embedding</td><td>False</td></tr><tr><td>length_per_sample</td><td>2000</td></tr><tr><td>log_interval</td><td>1</td></tr><tr><td>loss_scale</td><td>0</td></tr><tr><td>loss_scale_window</td><td>2000</td></tr><tr><td>lr</td><td>8e-05</td></tr><tr><td>lr_decay_iters</td><td>None</td></tr><tr><td>lr_decay_samples</td><td>197753905</td></tr><tr><td>lr_decay_style</td><td>cosine</td></tr><tr><td>lr_warmup_samples</td><td>1098632</td></tr><tr><td>make_vocab_size_divisible_by</td><td>768</td></tr><tr><td>mask_prob</td><td>0.15</td></tr><tr><td>masked_softmax_fusion</td><td>True</td></tr><tr><td>micro_batch_size</td><td>1</td></tr><tr><td>min_gmask_ratio</td><td>0.2</td></tr><tr><td>min_loss_scale</td><td>1.0</td></tr><tr><td>min_lr</td><td>8e-06</td></tr><tr><td>multitask_ratio</td><td></td></tr><tr><td>num_attention_heads</td><td>0.05</td></tr><tr><td>num_layers</td><td>96 70</td></tr><tr><td>onnx_safe</td><td>None</td></tr><tr><td>optimizer</td><td></td></tr><tr><td>partition_activations</td><td>adam</td></tr><tr><td></td><td>True</td></tr><tr><td>pipeline_model_parallel_size position_embedding_type</td><td>8</td></tr><tr><td>rampup_batch_size</td><td>rotary 192, 24,5493164</td></tr><tr><td>save_interval</td><td>250</td></tr><tr><td>seed</td><td>1234</td></tr><tr><td>seq_length</td><td>2048</td></tr><tr><td>short_seq_prob</td><td>0.02</td></tr><tr><td>shrink_embedding_gradient_alpha</td><td>0.1</td></tr><tr><td>single_span_prob</td><td>0.02</td></tr><tr><td>split tensor_model_parallel_size</td><td>949,50,1</td></tr><tr><td>tokenizer_type</td><td>4</td></tr><tr><td>weight_decay</td><td>IceTokenizer 0.1</td></tr><tr><td>zero_contigious_gradients</td><td></td></tr><tr><td>zero_reduce_bucket_size</td><td>False</td></tr><tr><td>zero_reduce_scatter</td><td>500000000</td></tr><tr><td>zero_stage</td><td>False</td></tr><tr><td></td><td></td></tr><tr><td>zero-optimization.allgather_bucket_size</td><td>500000000</td></tr><tr><td>tokenizer_type</td><td>IceTokenizer</td></tr><tr><td>weight_decay</td><td>0.1</td></tr><tr><td>world_size</td><td>768</td></tr><tr><td>zero_contigious_gradients</td><td>FALSE</td></tr><tr><td></td><td></td></tr><tr><td>zero_reduce_bucket_size</td><td>500000000</td></tr><tr><td>zero_reduce_scatter zero_stage</td><td>FALSE 1</td></tr></table>",
        "bbox": [
            343,
            99,
            653,
            938
        ],
        "page_idx": 47
    },
    {
        "type": "table",
        "img_path": "images/8284c0770abef2ac242864b4d8db7ac7f9591af1ec7e8204d766951324cdcc61.jpg",
        "table_caption": [
            "Table 12: The 74 datasets involved in Multi-task Instruction Pre-training (MIP). Datasets from T0- PromptSource (Sanh et al., 2022; Bach et al., 2022) are named in their Hugging Face datasets identifiers. Datasets from DeepStruct (Wang et al., 2022a) are described in Appendix C.2. "
        ],
        "table_footnote": [],
        "table_body": "<table><tr><td>Task</td><td>Dataset</td><td>Task</td><td>Dataset</td></tr><tr><td>Coreference Resolution</td><td>super_glue/wsc.fixed</td><td>Multi-choice QA</td><td>cos_e/v1.11</td></tr><tr><td>Coreference Resolution</td><td>winogrande/winogrande_xl Multi-choice QA</td><td></td><td>cosmos_qa</td></tr><tr><td>Natural Language Inference super_glue/cb</td><td></td><td>Multi-choice QA</td><td>dream</td></tr><tr><td>Natural Language Inference super_glue/rte</td><td></td><td>Multi-choice QA</td><td>openbookqa/main</td></tr><tr><td>Natural Language Inference anli</td><td></td><td>Multi-choice QA</td><td>qasc</td></tr><tr><td>Paraphrase Identification</td><td> glue/mrpc</td><td>Multi-choice QA</td><td>quail</td></tr><tr><td>Paraphrase Identification</td><td> glue/qqp</td><td>Multi-choice QA</td><td>quarel</td></tr><tr><td>Paraphrase Identification</td><td>paws/labeled_final</td><td>Multi-choice QA</td><td>quartz</td></tr><tr><td>Closed-Book QA</td><td>ai2_arc/ARC_Challenge</td><td>Multi-choice QA</td><td>race/high</td></tr><tr><td>Closed-Book QA</td><td>ai2_arc/ARC_Easy</td><td>Multi-choice QA</td><td>race/middle</td></tr><tr><td>Closed-Book QA</td><td>kilt_tasks/hoptpotqa</td><td>Multi-choice QA</td><td>sciq</td></tr><tr><td>Closed-Book QA</td><td>trivia_qa/unfiltered</td><td>Multi-choice QA</td><td>social_i_qa</td></tr><tr><td>Closed-Book QA</td><td>web_questions</td><td>Multi-choice QA</td><td>super_glue/boolq</td></tr><tr><td>Closed-Book QA</td><td>wiki_qa</td><td>Multi-choice QA</td><td>super_glue/multirc</td></tr><tr><td>Extractive QA</td><td>adversarial_qa/dbidaf</td><td>Multi-choice QA</td><td>wiki_hop/original</td></tr><tr><td>Extractive QA</td><td>adversarial_qa/dbert</td><td>Multi-choice QA</td><td>wiqa</td></tr><tr><td>Extractive QA</td><td>adversarial_qa/droberta</td><td>Multi-choice QA</td><td>piqa</td></tr><tr><td>Extractive QA</td><td>duorc/SelfRC</td><td>Topic Classification</td><td>ag_news</td></tr><tr><td>Extractive QA</td><td>duorc/ParaphraseRC</td><td>Topic Classification</td><td>dbpedia_14</td></tr><tr><td>Extractive QA</td><td>ropes</td><td>Topic Classification</td><td>trec</td></tr><tr><td>Extractive QA</td><td>squad_v2</td><td>Word Sense Disambiguation super_glue/wic</td><td></td></tr><tr><td>Extractive QA</td><td>super_glue/record</td><td>Dialogue State Tracking</td><td>multiwoz_2.1</td></tr><tr><td>Extractive QA</td><td>quoref</td><td>Event Extraction</td><td>ace05</td></tr><tr><td>Sentiment</td><td>amazon_polarity</td><td>Named Entity Recognition</td><td>conl103</td></tr><tr><td>Sentiment</td><td>app_reviews</td><td>Named Entity Recognition</td><td>genia</td></tr><tr><td>Sentiment</td><td>imdb</td><td>Named Entity Recognition</td><td>ontonotes5.0</td></tr><tr><td>Sentiment</td><td>rotten_tomatoes</td><td>Named Entity Recognition</td><td>ace2005</td></tr><tr><td>Sentiment</td><td>yelp_review_full</td><td>Named Entity Recognition</td><td>conll04</td></tr><tr><td>Sentence Completion</td><td>super_glue/copa</td><td>Named Entity Recognition</td><td>nyt29</td></tr><tr><td>Sentence Completion</td><td>hellaswag</td><td>Relation Extraction</td><td>conll04</td></tr><tr><td>Structure-to-Text</td><td>common_gen</td><td>Relation Extraction</td><td>nyt29</td></tr><tr><td>Structure-to-Text</td><td>wiki_bio</td><td>Relation Extraction</td><td>ace2005</td></tr><tr><td>Summarization</td><td>cnn_dailymail/3.0.0</td><td>Relation Extraction</td><td>kelm</td></tr><tr><td>Summarization</td><td>gigaword</td><td>Relation Classification</td><td>tacred</td></tr><tr><td>Summarization</td><td>multi_news</td><td>Semantic Role Labeling</td><td>conll05</td></tr><tr><td>Summarization</td><td>samsum</td><td>Semantic Role Labeling</td><td>conll12</td></tr><tr><td>Summarization</td><td>xsum</td><td>Semantic Role Labeling</td><td>propbank</td></tr></table>",
        "bbox": [
            174,
            261,
            831,
            830
        ],
        "page_idx": 48
    },
    {
        "type": "table",
        "img_path": "images/4a1af107c4ca6d51f6d85673d9672d351b9646b8182e9974744569b80c4bd80a.jpg",
        "table_caption": [
            "Table 14: Details results of GLM-130B, GPT-3 175B (Brown et al., 2020), and PaLM 540B (Chowdhery et al., 2022) on BIG-bench-lite in 0, 1, and 3-shots. “Normalized preferred metric” is reported for each task. GPT-3 and PaLM’s results are reported in BIG-bench’s GitHub repository, and PaLM 540B’s 3-shot results are not found. "
        ],
        "table_footnote": [],
        "table_body": "<table><tr><td rowspan=\"2\"></td><td colspan=\"3\">GLM-130B</td><td colspan=\"3\">GPT-3175B</td><td colspan=\"2\">PaLM540B</td></tr><tr><td>0</td><td>1</td><td>3</td><td>0</td><td>1</td><td>3</td><td>0</td><td>1</td></tr><tr><td>auto_debugging</td><td>11.76</td><td>20.59</td><td>23.53</td><td>0.00</td><td>0.00</td><td>0.00</td><td>0.00</td><td>38.23</td></tr><tr><td>bbq_lite_json</td><td>22.26</td><td>37.50</td><td>59.73</td><td>-8.33</td><td>40.75</td><td>61.21</td><td>-4.39</td><td>77.73</td></tr><tr><td>code_line_description</td><td>0.22</td><td>9.09</td><td>-8.64</td><td>9.09</td><td>9.09</td><td>9.09</td><td>0.22</td><td>49.00</td></tr><tr><td>conceptual_combinations</td><td>37.51</td><td>31.33</td><td>27.86</td><td>2.37</td><td>3.70</td><td>14.33</td><td>45.68</td><td>73.36</td></tr><tr><td>conlang_translation</td><td>34.72</td><td>38.01</td><td>33.88</td><td>46.82</td><td>47.07</td><td>51.60</td><td>36.88</td><td>61.92</td></tr><tr><td>emoji_movie</td><td>1.25</td><td>4.88</td><td>3.75</td><td>-10.00</td><td>-2.49</td><td>-1.24</td><td>17.50</td><td>88.75</td></tr><tr><td>formal_fallacies_syllogisms_negation</td><td>0.83</td><td>1.46</td><td>0.35</td><td>1.00</td><td>6.80</td><td>5.60</td><td>-0.20</td><td>4.40</td></tr><tr><td>hindu_knowledge</td><td>32.23</td><td>37.56</td><td>34.52</td><td>10.15</td><td>40.61</td><td>44.42</td><td>41.37</td><td>93.15</td></tr><tr><td>known_unknowns</td><td>-4.35</td><td>0.00</td><td>4.35</td><td>21.74</td><td>4.35</td><td>0.00</td><td>13.04</td><td>34.78</td></tr><tr><td>language_identification</td><td>9.62</td><td>1.97</td><td>1.90</td><td>7.49</td><td>3.20</td><td>1.98</td><td>12.11</td><td>31.03</td></tr><tr><td>linguistics_puzzles</td><td>0.00</td><td>0.00</td><td>0.00</td><td>0.00</td><td>0.00</td><td>0.00</td><td>0.00</td><td>0.10</td></tr><tr><td>logic_grid_puzzle</td><td>9.88</td><td>13.66</td><td>5.24</td><td>0.16</td><td>3.35</td><td>0.01</td><td>1.47</td><td>16.12</td></tr><tr><td>logical_deduction</td><td>24.18</td><td>22.20</td><td>20.35</td><td>2.22</td><td>10.80</td><td>14.71</td><td>2.17</td><td>15.34</td></tr><tr><td>misconceptions_russian</td><td>-26.53</td><td>-46.94</td><td>-26.53</td><td>-34.70</td><td>-34.70</td><td>-30.61</td><td>-42.86</td><td>-30.61</td></tr><tr><td>novel_concepts</td><td>6.25</td><td>21.87</td><td>25.78</td><td>33.59</td><td>33.59</td><td>45.31</td><td>33.59</td><td>49.22</td></tr><tr><td>operators</td><td>14.76</td><td>18.10</td><td>18.10</td><td>30.0</td><td>34.29</td><td>33.33</td><td>30.48</td><td>56.19</td></tr><tr><td>parsinlu_reading_comprehension</td><td>7.14</td><td>7.72</td><td>11.58</td><td>0.00</td><td>0.00</td><td>0.00</td><td>9.46</td><td>44.40</td></tr><tr><td>play_dialog_same_or_different</td><td>2.88</td><td>5.33</td><td>3.80</td><td>8.00</td><td>0.80</td><td>-5.40</td><td>-33.0</td><td>0.10</td></tr><tr><td>repeat_copy_logic</td><td>0.00</td><td>0.00</td><td>0.00</td><td>0.00</td><td>0.00</td><td>0.00</td><td>0.00</td><td>37.5</td></tr><tr><td>strange_stories</td><td>43.86</td><td>51.76</td><td>42.31</td><td>8.27</td><td>25.68</td><td>12.93</td><td>39.25</td><td>74.46</td></tr><tr><td>strategyqa</td><td>21.10</td><td>18.74</td><td>16.82</td><td>4.60</td><td>13.20</td><td>14.20</td><td>28.00</td><td>38.00</td></tr><tr><td>symbol_interpretation</td><td>1.39</td><td>1.89</td><td>1.77</td><td>0.51</td><td>-0.63</td><td>2.77</td><td>0.76</td><td>2.40</td></tr><tr><td>vitaminc_fact_verification</td><td>71.87</td><td>60.72</td><td>56.55</td><td>-31.55</td><td>22.15</td><td>29.05</td><td>-28.85</td><td>55.60</td></tr><tr><td>winowhy</td><td>-3.49</td><td>5.38</td><td>3.0</td><td>3.0</td><td>10.60</td><td>13.00</td><td>-5.0</td><td>31.80</td></tr></table>",
        "bbox": [
            173,
            358,
            823,
            739
        ],
        "page_idx": 49
    },
    {
        "type": "table",
        "img_path": "images/263ed91e2f5136ee90d9f0fb44bda0e81da65c26b9506dedb880140ace88b2e4.jpg",
        "table_caption": [
            "Table 15: Detailed results of GLM-130B and BLOOM 176B (Scao et al., 2022) on MMLU (Hendrycks et al., 2021). We find that no existing literature has reported GPT-3 175B’s numerical accuracy. BLOOM is evaluated using Huggingface Transformer implementation. "
        ],
        "table_footnote": [],
        "table_body": "<table><tr><td colspan=\"3\">Discipline</td><td rowspan=\"2\">GLM-130B BLOOM176B</td></tr><tr><td colspan=\"3\">STEM</td></tr><tr><td rowspan=\"12\"></td><td>abstract_algebra anatomy</td><td>24.00 48.90</td><td>24.00 38.52</td></tr><tr><td>astronomy</td><td>48.03</td><td>34.87</td></tr><tr><td></td><td></td><td>37.50</td></tr><tr><td>colledge_biology</td><td>47.22</td><td></td></tr><tr><td>college_chemistry</td><td>34.00</td><td>19.00</td></tr><tr><td>colledge_computer_science</td><td>44.00</td><td>1.00</td></tr><tr><td>colledge_mathematcis</td><td>27.00</td><td>31.00</td></tr><tr><td>colledge_physics</td><td>30.39 61.00</td><td>24.50 40.00</td></tr><tr><td>computer_security conceptual_physics</td><td>38.72</td><td>31.49</td></tr><tr><td>electrical_engineering</td><td>45.52</td><td>32.41</td></tr><tr><td>elementary_mathematics</td><td>31.75</td><td>29.63</td></tr><tr><td>high_school_biology</td><td>51.29</td><td>27.42</td></tr><tr><td>high_school_chemistry</td><td>34.98</td><td>27.09</td></tr><tr><td>high_school_computer_science</td><td>53.00</td><td>30.00</td></tr><tr><td>high_school_mathematics</td><td>28.15</td><td>25.93</td></tr><tr><td>high_school_physics</td><td>29.80</td><td>30.46</td></tr><tr><td>high_school_statistics machine_learning</td><td>38.43 40.18</td><td>26.39 29.46</td></tr><tr><td rowspan=\"10\">Social Science</td><td></td><td>26.32</td><td>26.32</td></tr><tr><td>econometrics</td><td></td><td></td></tr><tr><td>high_school_geography</td><td>53.54</td><td>36.36</td></tr><tr><td>high_school_government_and_politics</td><td>62.18</td><td>40.41</td></tr><tr><td>high_school_macroeconomics</td><td>42.56</td><td>30.77</td></tr><tr><td>high_school_microeconomics</td><td>45.80</td><td>26.89</td></tr><tr><td>high_school_psychology</td><td>54.13 51.15</td><td>39.27</td></tr><tr><td>human_sexuality</td><td>42.48</td><td>35.11 31.54</td></tr><tr><td>professional_psychology</td><td>55.46</td><td>33.64</td></tr><tr><td>public_relations security_studies</td><td>44.90</td><td>34.29</td></tr><tr><td>sociology</td><td></td><td>51.74</td><td>31.84</td></tr><tr><td rowspan=\"10\">Humanities</td><td>us_foreign_policy</td><td>61.00</td><td>46.00</td></tr><tr><td>formal_logic</td><td>27.78</td><td>23.02</td></tr><tr><td>high_school_european_history</td><td>58.18</td><td>35.76</td></tr><tr><td>high_school_us_history</td><td>58.33</td><td>40.69</td></tr><tr><td>high_school_world_history</td><td>67.09</td><td>32.07</td></tr><tr><td>international_law</td><td>56.20</td><td>42.15</td></tr><tr><td> jurisprudence</td><td>43.52</td><td>35.19</td></tr><tr><td>logical_fallacies</td><td>57.06</td><td>31.29</td></tr><tr><td>moral_disputes</td><td>47.11</td><td>36.71</td></tr><tr><td>moral_scenarios philosophy</td><td>24.25</td><td>24.36</td></tr><tr><td>prehistory</td><td></td><td></td><td>35.37</td></tr><tr><td rowspan=\"12\"></td><td></td><td>45.34 50.93</td><td>40.43</td></tr><tr><td>professional_law world_religions</td><td>37.94</td><td>29.53</td></tr><tr><td></td><td>55.56</td><td>42.11</td></tr><tr><td>business_ethics clinical_knowledge</td><td>51.00</td><td>34.00</td></tr><tr><td>colledge_medicine</td><td>48.68</td><td>35.85 28.90</td></tr><tr><td>glocal_facts</td><td>43.35 35.00</td><td></td></tr><tr><td>human_aging Other</td><td></td><td></td><td>23.00</td></tr><tr><td>management</td><td>45.29 56.31</td><td>32.29</td></tr><tr><td>marketing</td><td>67.52</td><td>27.18</td></tr><tr><td></td><td></td><td>39.74</td></tr><tr><td>medical_genetics</td><td>48.00</td><td>45.00</td></tr><tr><td>miscellaneous</td><td>61.18</td><td>40.23</td></tr><tr><td>nutrition</td><td>50.65</td><td>32.35</td></tr><tr><td>professional_accounting</td><td>35.46</td><td>28.72</td></tr><tr><td>professional_medicine</td><td>43.38</td><td>18.01</td></tr><tr><td></td><td></td><td></td></tr><tr><td>virology</td><td>39.16</td><td>28.31</td></tr></table>",
        "bbox": [
            232,
            146,
            766,
            920
        ],
        "page_idx": 50
    },
    {
        "type": "text",
        "text": "E CONTRIBUTIONS ",
        "text_level": 1,
        "bbox": [
            176,
            102,
            349,
            117
        ],
        "page_idx": 51
    },
    {
        "type": "text",
        "text": "The GLM-130B project was conceived in Dec. 2021 with its pre-training part completed in July 3rd, 2022 and its evaluation and applications still ongoing. Over the course, we have experienced various technical and engineering challenges (Cf. Appendix F and Figure 21 for details). It would not be possible to reach its current status if without the collaboration of multiple teams—the Knowledge Engineering Group (KEG), Parallel Architecture & Compiler technology of Mobile, Accelerated, and Networked systems Group (PACMAN), and Natural Language Processing Group (THUNLP) at Tsinghua University, as well as Zhipu.AI. The detailed contributions are listed below. ",
        "bbox": [
            173,
            132,
            825,
            231
        ],
        "page_idx": 51
    },
    {
        "type": "text",
        "text": "E.1 PREPARATION ",
        "text_level": 1,
        "bbox": [
            174,
            247,
            313,
            261
        ],
        "page_idx": 51
    },
    {
        "type": "text",
        "text": "• Model Implementation: Aohan Zeng, Zhengxiao Du   \n• Self-Supervised Data Processing: Ming Ding, Wendi Zheng   \n• Multitask Data Processing: Xiao Liu, Xiao Xia   \n• Model Architecture: Aohan Zeng, Xiao Liu, Zhengxiao Du, Hanyu Lai   \n• Training Stability: Aohan Zeng, Xiao Liu, Ming Ding   \n• 3D-Parallelism and Training Efficiency: Aohan Zeng, Zixuan Ma, Jiaao He, Zhenbo Sun ",
        "bbox": [
            173,
            272,
            787,
            382
        ],
        "page_idx": 51
    },
    {
        "type": "text",
        "text": "E.2 MODEL TRAINING ",
        "bbox": [
            174,
            398,
            346,
            412
        ],
        "page_idx": 51
    },
    {
        "type": "text",
        "text": "• Large-Scale Training & Monitoring: Aohan Zeng, Xiao Liu • Model Performance Validation: Aohan Zeng ",
        "bbox": [
            173,
            424,
            596,
            458
        ],
        "page_idx": 51
    },
    {
        "type": "text",
        "text": "E.3 POST TRAINING ",
        "bbox": [
            174,
            474,
            330,
            488
        ],
        "page_idx": 51
    },
    {
        "type": "text",
        "text": "• Evaluation Framework: Aohan Zeng, Zhengxiao Du   \n• Language Modeling Evaluation: Aohan Zeng   \n• MMLU & BIG-Bench Evaluation: Aohan Zeng   \n• CLUE & FewCLUE Evaluation: Xiao Liu, Aohan Zeng   \n• Ethical Evaluation: Yifan Xu, Aohan Zeng, Xiao Liu, Zihan Wang   \n• Baseline Evaluation: Xiao Liu, Jifan Yu, Weng Lam Tam   \n• INT4 Quantization: Aohan Zeng, Zihan Wang, Xiao Liu, Hanyu Lai   \n• Inference Acceleration: Zihan Wang, Aohan Zeng   \n• Low-Resource Inference: Gouyang Zeng, Xu Han, Weilin Zhao, Zhiyuan Liu   \n• Demo and API: Hanyu Lai, Jifan Yu, Xiaohan Zhang, Yufei Xue, Shan Wang, Jiecai Shan, Haohan Jiang, Zhengang Guo   \n• Manuscript Writing: Xiao Liu, Yuxiao Dong, and Jie Tang wrote the main paper, and Xiao Liu, Aohan Zeng, and Zhengxiao Du wrote the Appendix. ",
        "bbox": [
            173,
            500,
            825,
            731
        ],
        "page_idx": 51
    },
    {
        "type": "text",
        "text": "E.4 PROJECT MANAGEMENT ",
        "text_level": 1,
        "bbox": [
            174,
            747,
            387,
            761
        ],
        "page_idx": 51
    },
    {
        "type": "text",
        "text": "• Student Leaders: Aohan Zeng, Xiao Liu   \n• Technical Advisors: Yuxiao Dong, Jidong Zhai, Wenguang Chen, Zhiyuan Liu, Peng Zhang, Jie Tang   \n• Project Leader: Jie Tang ",
        "bbox": [
            173,
            773,
            826,
            839
        ],
        "page_idx": 51
    },
    {
        "type": "text",
        "text": "E.5 COMPUTATION SPONSOR ",
        "text_level": 1,
        "bbox": [
            174,
            856,
            390,
            869
        ],
        "page_idx": 51
    },
    {
        "type": "text",
        "text": "• GPU Sponsor: Zhipu.AI ",
        "bbox": [
            173,
            881,
            356,
            897
        ],
        "page_idx": 51
    },
    {
        "type": "text",
        "text": "F A BRIEF HISTORY OF GLM-130B ",
        "text_level": 1,
        "bbox": [
            174,
            102,
            491,
            118
        ],
        "page_idx": 52
    },
    {
        "type": "text",
        "text": "The GLM-130B project16 was conceived in Dec. 2021 in a brainstorming meeting at Tsinghua KEG. We firmly believe that it is of value to pre-train a highly accurate language model, in particular for both Chinese and English. Though GPT-3 (Brown et al., 2020) is the pioneer for this effort, it is not available to most people in the world. In addition, it supports English only. We therefore decide to initialize the project GLM-130B. Please note that the WuDao 1.75T model we built last year is a sparse model with 480 mixture-of-experts (MoE), rather than a dense one as GPT-3. Our goal then is to train a bilingual pre-trained dense model with high accuracy on downstream tasks, and to make it open to everyone in the world-anyone, anywhere can download it and use it on a single server with appropriate GPUs. ",
        "bbox": [
            174,
            136,
            825,
            262
        ],
        "page_idx": 52
    },
    {
        "type": "text",
        "text": "The ambitious project soon faced several important challenges: ",
        "bbox": [
            174,
            268,
            588,
            284
        ],
        "page_idx": 52
    },
    {
        "type": "text",
        "text": "• Lack of computational resources: No organization is willing to sponsor such a big project and freely make it public. • Lack of a robust pre-training algorithm: Despite GPT-3’s success on English corpus, it is unclear how to train a high-accurate bilingual model for both English and Chinese. • Lack of fast inference solutions: Since the goal is to have the model public to everyone, we need to design fast inference solutions with low resource requirements to run the model. ",
        "bbox": [
            173,
            290,
            826,
            378
        ],
        "page_idx": 52
    },
    {
        "type": "text",
        "text": "For the pre-training algorithm, we finally chose GLM (Du et al., 2022) due to its high performance in practice. We eventually decided to train a GLM model of 130 billion parameters after several rounds of discussions and exploration, because such a size makes it possible to run the inference on a single A100 $( 4 0 G * 8 )$ server. ",
        "bbox": [
            174,
            386,
            825,
            441
        ],
        "page_idx": 52
    },
    {
        "type": "text",
        "text": "Our first attempt at training the model was in January 2022, shortly after we received a small sponsor of GPUs for test running. However, we soon realized that we had significantly underestimated the technical difficulties of pre-training a model at such a scale $\\left( > 1 0 0 \\mathbf { B } \\right)$ . It seems that pre-training a highly accurate 100B-scale model is quite different from training a 10B-scale one. Due to frequent random hardware failures, model gradients exploding, unexpected excessive memory usage in the algorithm, debug for the 3D pipeline in the new Megatron and DeepSpeed frameworks, inability to recover from optimizer states, blocked TCP responses between processes, and many many unexpected “bugs”, the project was delayed for many times. The Tsinghua PACMAN team gave us a hand at this difficult time and together we successfully fixed most of the “bugs”. ",
        "bbox": [
            173,
            448,
            825,
            574
        ],
        "page_idx": 52
    },
    {
        "type": "text",
        "text": "By March, we were still short on computational resources, but fortunately got a chance to try test runs on several other platforms, including Ascend 910, Hygon DCU, NVIDIA, and Sunway. The immediate challenge was for us to adapt our training code to these different platforms, as the underlying operators are quite different. Also, it introduced many new issues: the element-wise operators not supporting fast computation for large-dimension vectors, various issues that hindered convergence—the large gradient norms of input embeddings, native Post-LN, Pre-LN, and Sandwich-LN, dataloader state seeds, and computation precision choices in Softmax and Attention — as well as numerous mistakes we ourselves made. With tremendous help from all of our generous partners, we finally succeeded in making our pre-training algorithms runnable across all the platforms—frankly, a surprising achievement for this project. The timeline of GLM-130B in Figure 21 covers most of the issues we have encountered and addressed as of this writing. ",
        "bbox": [
            174,
            580,
            825,
            733
        ],
        "page_idx": 52
    },
    {
        "type": "text",
        "text": "On April 26th, we received a generous computing sponsorship from Zhipu.AI — an AI startup that aims to teach machines to think like humans. After another week of testing, we finally kicked off the training of the GLM-130B model on its 96 A100 $( 4 0 G * 8 )$ servers on May 6th. Additionally, Zhipu.AI also sent a team to help evaluate the pre-trained model and build a demonstration website. ",
        "bbox": [
            174,
            741,
            825,
            796
        ],
        "page_idx": 52
    },
    {
        "type": "text",
        "text": "The training period spanned two months, during which we began developing a toolkit to allow GLM130B’s inference in low-resource setting with swapping technique and quantization. Though it is already the most accessible model of its scale, together with our partner from Tsinghua NLP, we have been exploring the limit of popularized hardware platforms, which would truly make the 100B-scale model accessible to as many people as possible. To date, we managed to reach the INT4 weight quantization for GLM-130B. Importantly, the INT4 version of GLM-130B without post training ",
        "bbox": [
            174,
            803,
            823,
            887
        ],
        "page_idx": 52
    },
    {
        "type": "text",
        "text": "Major Issues Encountered for Training GLM-130B ",
        "text_level": 1,
        "bbox": [
            261,
            89,
            815,
            113
        ],
        "page_idx": 53
    },
    {
        "type": "text",
        "text": "2021.12 ",
        "text_level": 1,
        "bbox": [
            232,
            135,
            279,
            145
        ],
        "page_idx": 53
    },
    {
        "type": "text",
        "text": "• The “千亿 ” (100B) project towards an open dense pre-trained GLM at 100B scale is conceived   \n• Survey pre-training strategies of existing models of similar scale, such as GPT-3, Gopher $= >$ Limited public info about how they were trained and issues they met   \n• Search for possible GPU clusters & sponsors ",
        "bbox": [
            232,
            147,
            803,
            194
        ],
        "page_idx": 53
    },
    {
        "type": "text",
        "text": "2022.1 ",
        "text_level": 1,
        "bbox": [
            232,
            200,
            271,
            210
        ],
        "page_idx": 53
    },
    {
        "type": "text",
        "text": "• Test the performance of FP16/FP32 at 100B scale on one testing cluster • Unexpected excessive memory usage in GLM $\\Rightarrow$ Torch is better with fixed length input sequences • Inability to converge and try tricks from CogView and ViT ${ \\Rightarrow U s e }$ Sandwich-LN • Frequent random hardware failures $= >$ Have to run HCPG test before each run ",
        "bbox": [
            230,
            212,
            738,
            258
        ],
        "page_idx": 53
    },
    {
        "type": "text",
        "text": "2022.2 ",
        "text_level": 1,
        "bbox": [
            232,
            267,
            272,
            277
        ],
        "page_idx": 53
    },
    {
        "type": "text",
        "text": "• Very slow training speed than previously calculated $\\Rightarrow$ Optimize kernels and fuse operators $= >$ Find the input   \nshape is critical to kernel performance   \n• Collect pre-training corpora and tokenize $= >$ Use icetk: the sentence piece is set to the unigram mode   \n• Debug the 3D pipeline parallel in the newly-released Megatron and DeepSpeed ",
        "bbox": [
            232,
            279,
            799,
            327
        ],
        "page_idx": 53
    },
    {
        "type": "text",
        "text": "2022.3 ",
        "text_level": 1,
        "bbox": [
            232,
            333,
            272,
            343
        ],
        "page_idx": 53
    },
    {
        "type": "text",
        "text": "• It can’t recover perfectly from checkpoints $= >$ Our customized dataloader do not save its state seed properly in distributed training   \n• The memory per processor is too small $\\Rightarrow$ Require too many pipeline stages $= >$ Batch size is too large (up to $1 2 , 0 0 0 ) \\Rightarrow H a r m$ the model’s convergency   \n• It can’t launch more than 2,000 computing nodes $\\Rightarrow$ Overcome this and support 6,000-node training by tuning Linux kernel TCP parameters   \n• Collect data for multi-task instruction pre-training   \n• Receive opportunities to test trainings on several other clusters   \n• Very slow training speed than expected $= >$ The underlying element-wise operators don’t support fast computation on large-dimension vectors. ",
        "bbox": [
            232,
            344,
            794,
            460
        ],
        "page_idx": 53
    },
    {
        "type": "text",
        "text": "2022.4 ",
        "text_level": 1,
        "bbox": [
            205,
            468,
            272,
            479
        ],
        "page_idx": 53
    },
    {
        "type": "text",
        "text": "• Optimize A100 kernel’s computing efficiency $= >$ A100 kernels prefer square-shaped inputs, and seq_len=2,048 is optimal for our hidden-state dimension (12,288)   \n• Inability to converge due to large gradient norms $( 1 7 0 + )$ of input embeddings ${ \\Rightarrow T r y }$ embedding norm and   \ngradient shrink, which turn out to be almost equivalent   \n• Naïve post-LN or pre-LN disconverges after several thousands of steps $\\Rightarrow T r y$ Sandwich-LN with PB-Relax   \n• It still disconverges after one week’s trial $\\Rightarrow$ The dataloader state seeds are not unified for different pipeline stages, resulting in a mismatch of input data and labels.   \n• Test two positional encodings: RoPE and Alibi $= >$ Alibi can be slower as it requires element-wise manipulation on attention matrices---changing num_heads \\*2,048 $^ *$ 2,048 scalars per layer   \n• Test GeGLU and ${ \\mathsf { G A U } } \\ { \\mathsf { \\Omega } } \\Rightarrow { \\mathsf { G A U } }$ converges faster with relatively poor performance on fine-tuned SuperGLUE   \n• Abnormal GPU memory usage of newly-added functions and classes $= >$ DeepSpeed hardcodes the function names for checkpoint activation   \n• Decide to train GLM with 130 billion parameters $\\Rightarrow$ allow inference on a DGX-A100 40G node ",
        "bbox": [
            232,
            481,
            792,
            632
        ],
        "page_idx": 53
    },
    {
        "type": "text",
        "text": "2022.5-6 ",
        "text_level": 1,
        "bbox": [
            232,
            640,
            282,
            650
        ],
        "page_idx": 53
    },
    {
        "type": "text",
        "text": "• Implement a RoPE cuda operator in ${ \\mathsf { C } } + + = >$ See unexpected precision errors and finally have it abandoned   \n• Sandwich-LN still disconverges $\\Longrightarrow 1$ ) Reducing learning rate does not help; 2) Using Hinge cross-entropy becomes slower and harms performance; 3) Shifting to DeepNorm still disconverges   \n• Use FP32 in softmax of attention $\\Rightarrow$ Success   \n• Find PB-Relax unnecessary for FP32 softmax $\\Rightarrow$ It also slows down training as it needs to manipulate the whole attention score matrices   \n• Experience few spikes in later training $\\mathbf { \\Phi } = > \\mathbf { \\Phi } .$ 1) Reduce gradient shrink factor from 1 to 0.1: useful; 2) Reduce the learning rate: sometimes useful; 3) Jump the noisy data batches: sometimes useful   \n• Find a mistake in multi-task data after training for 20,000 steps $= >$ Use the correct data but it does not forget ",
        "bbox": [
            232,
            651,
            808,
            757
        ],
        "page_idx": 53
    },
    {
        "type": "text",
        "text": "2022.6-7 ",
        "text_level": 1,
        "bbox": [
            232,
            763,
            282,
            773
        ],
        "page_idx": 53
    },
    {
        "type": "text",
        "text": "• Adapt the pipeline parallel checkpoints to ordinary parallel checkpoints for efficient inference on a single A100   \n• Work on evaluation scripts on datasets: MMLU, Big-bench, CLUE, SuperCLUE, etc.   \n• Implement P-Tuning and P-Tuning v2 for parameter-efficient tuning on GLM-130B for tuning on SuperGLUE   \n• Work with BMInf on adapting GLM-130B to perform inference on a single V100 or 3090 $\\Rightarrow$ Use pipeline-style asynchronous swapping between main memory and GPU memory   \n• Try to fine-tune GLM-130B with fewer A100 nodes (i.e., 12-16 nodes) $= >$ Pipeline-style fails due to too many pipeline stages $= >$ Find that data parallel can not be introduced for fine-tuning $\\Rightarrow$ Use 32-way model parallel for fine-tuning with reasonable performance https://github.com/THUDM/GLM-130B ",
        "bbox": [
            232,
            776,
            813,
            883
        ],
        "page_idx": 53
    },
    {
        "type": "text",
        "text": "Figure 21: The timeline of major issues that training GLM-130B encountered and addressed, as of July 31st, 2022. ",
        "bbox": [
            173,
            898,
            826,
            926
        ],
        "page_idx": 53
    },
    {
        "type": "text",
        "text": "faces negligible performance degradation compared to its uncompressed original, while it consumes only $2 5 \\%$ of the GPU memory required by the uncompressed version, thus supporting its effective inference on $4 \\times \\mathrm { R T X } 3 0 9 0 1$ i (24G) or $8 \\times \\mathrm { R T X } 2 0 8 0 \\mathrm { T i }$ (11G). We will attempt to further reduce the resource requirements and keep the community updated on this important working item. ",
        "bbox": [
            174,
            103,
            823,
            160
        ],
        "page_idx": 54
    },
    {
        "type": "text",
        "text": "G BROADER IMPACT ",
        "text_level": 1,
        "bbox": [
            176,
            180,
            361,
            196
        ],
        "page_idx": 54
    },
    {
        "type": "text",
        "text": "This paper introduces an open bilingual pre-trained language model with 130 billion parameters. Currently most pre-trained language models with over 100 billion parameters are privately owned by governments and large corporations (Brown et al., 2020; Thoppilan et al., 2022; Rae et al., 2021; Chowdhery et al., 2022; Wang et al., 2021). A few of them (Brown et al., 2020; Lieber et al., 2021) provide limited inference APIs with fees. In contrast, the weights and code of GLM-130B are open to anyone who is interested in LLMs. Moreover, we significantly lower the hardware requirements for inference by speed-up implementation and INT4 quantization. The paper can have a broader impact on the research community, individual developers and small companies, and society. ",
        "bbox": [
            174,
            212,
            825,
            324
        ],
        "page_idx": 54
    },
    {
        "type": "text",
        "text": "G.1 IMPACT ON AI RESEARCH ",
        "text_level": 1,
        "bbox": [
            176,
            342,
            400,
            356
        ],
        "page_idx": 54
    },
    {
        "type": "text",
        "text": "Most research institutions cannot afford the substantial cost of pretraining large language models. As a result, most researchers, except employees of governments and large corporations, only have access to the limited inference APIs with fees. With the inference APIs, researchers can only analyze the outputs of models as black boxes, which limits the scope of potential work. With GLM-130B, researchers can analyze the model parameters and internal states corresponding to specific inputs, leading to in-depth studies of LLMs’ theory, capacity, and flaws. Researchers can also modify the model architecture and weights, to validate the proposed algorithms to improve LLMs Zhu et al. (2020); Cao et al. (2021); Hase et al. (2021); Mitchell et al. (2022). ",
        "bbox": [
            174,
            368,
            825,
            479
        ],
        "page_idx": 54
    },
    {
        "type": "text",
        "text": "With INT4 quantization, GLM-130B can perform inference on popularized GPUs such as $4 \\times \\mathrm { R T X }$ 3090 or $8 \\times \\mathrm { R T X } 2 0 8 0 \\mathrm { T i }$ , which can be easily accessed from cloud service. As a result, researchers who cannot afford powerful data-center GPU servers like DGX-A100 can also utilize GLM-130B. ",
        "bbox": [
            176,
            486,
            825,
            529
        ],
        "page_idx": 54
    },
    {
        "type": "text",
        "text": "G.2 IMPACT ON INDIVIDUAL DEVELOPERS AND SMALL COMPANIES",
        "text_level": 1,
        "bbox": [
            176,
            546,
            660,
            560
        ],
        "page_idx": 54
    },
    {
        "type": "text",
        "text": "Currently, individual developers and small companies who want to integrate LLMs into their business can only choose paid inference APIs. The increased cost can hinder their attempts. Instead, GLM-130B can be deployed on popularized hardware that they own or can access via cloud service to reduce the cost. Furthermore, they can utilize distillation techniques Sanh et al. (2019); Jiao et al. (2020) to obtain smaller models that preserve comparable performance on their specific tasks. While some developers may lack the ability to complete deployment and distillation on their own, we believe with GLM-130B and more open LLMs in the future, the corresponding toolkits and service providers will become more available. ",
        "bbox": [
            174,
            571,
            825,
            684
        ],
        "page_idx": 54
    },
    {
        "type": "text",
        "text": "We also note that currently most applications of LLMs are based on prompt engineering, partly due to the limitation of inference APIs. In downstream scenarios such as online customer service, the companies accumulate huge amounts of human-generated data that contain domain knowledge. With the open-source weights and code, developers can finetune GLM-130B on their own data to mitigate the gap of domain knowledge. ",
        "bbox": [
            176,
            690,
            825,
            761
        ],
        "page_idx": 54
    },
    {
        "type": "text",
        "text": "G.3 SOCIAL IMPACT ",
        "text_level": 1,
        "bbox": [
            176,
            779,
            330,
            792
        ],
        "page_idx": 54
    },
    {
        "type": "text",
        "text": "Large language models, together with other machine learning models in different modalities (e.g., Image (Ramesh et al., 2021; Ding et al., 2021; Saharia et al.) and Video (Hong et al., 2022)), could be used to generate synthetic text for harmful applications, such as telemarketing fraud, political propaganda, and personal harassment as is discussed in (Weidinger et al., 2021; Sheng et al., 2021; Dev et al., 2021). We do not anticipate any hazardous outputs, especially towards vulnerable and historically disadvantaged groups of people, after using the model. ",
        "bbox": [
            174,
            805,
            823,
            888
        ],
        "page_idx": 54
    },
    {
        "type": "text",
        "text": "While some people think that restricting access to LLMs can prevent such harmful applications, we argue that promoting LLM inclusivity can lead to better defense against potential harm caused by ",
        "bbox": [
            174,
            895,
            821,
            924
        ],
        "page_idx": 54
    },
    {
        "type": "text",
        "text": "LLMs. Currently, only governments and large corporations can afford the considerable costs of pretraining LLMs. There is no guarantee that organizations having the substantial financial resources to pretrain an LLM will not do harm with it. Without access to such LLMs, individuals cannot even realize the role of LLMs in harm. Conversely, releasing an open LLM can provide access and transparency to all the researchers and promote the research to reduce the potential harm of LLMs, like algorithms to identify the synthetic text Gehrmann et al. (2019) or detect fake news Li et al. (2021). ",
        "bbox": [
            173,
            103,
            825,
            200
        ],
        "page_idx": 55
    },
    {
        "type": "text",
        "text": "Also, it is known that LLMs can suffer from problems in fairness, bias, privacy, and truthfulness Zhang et al. (2021); Lin et al. (2022); Liang et al. (2021); Bender et al. (2021). An open LLM can reveal the model parameters and internal states corresponding to specific inputs instead of providing APIs to black-box models. In conclusion, researchers can conduct analysis of LLMs’ flaws in depth and propose improved algorithms to solve the problems. ",
        "bbox": [
            174,
            208,
            823,
            279
        ],
        "page_idx": 55
    },
    {
        "type": "text",
        "text": "H ENVIRONMENTAL IMPACT ",
        "text_level": 1,
        "bbox": [
            176,
            297,
            426,
            314
        ],
        "page_idx": 55
    },
    {
        "type": "text",
        "text": "One of the major concerns about large language models is their huge energy usage and associated carbon emissions Strubell et al. (2019); Lacoste et al. (2019); Patterson et al. (2021); Bender et al. (2021). GPT-3 was estimated to use 500 tons of carbon emissions footprint (CO2eq) Patterson et al. (2021). We consumed a total of 442.4MWh of electricity over the 60-day course of training. Given the $0 . 5 8 1 0 \\mathrm { ~ k g / k W h }$ carbon efficiency of local power grid, the pre-training released 257.01 metric tons of $\\mathrm { C O _ { 2 } }$ . This is around half of GPT-3’s carbon footprint, probably due to the efficient parallel strategies and NVIDIA’s hardware improvements. The carbon emission is roughly the equivalent of the yearly emissions of 18 average Americans. However, we believe that with GLM-130B released, more carbon emissions for reproducing 100B-scale LLMs can be saved. ",
        "bbox": [
            174,
            329,
            825,
            454
        ],
        "page_idx": 55
    }
]