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00f7555 | 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 | from __future__ import annotations
import gzip,json,pickle,time,re,gc,os
from pathlib import Path
import numpy as np
from scipy import sparse
from sklearn.feature_extraction.text import CountVectorizer
from sklearn.preprocessing import normalize
from numba import njit, prange, set_num_threads
ROOT=Path('/mnt/data'); WORK=ROOT/'msmarco_scale_work'; GEOM=WORK/'geometry_1m'; GEOM.mkdir(parents=True,exist_ok=True)
N_CAL=1_000_000; M=50_000; F=4; B=64; S=16; L=12; TAU=20.; BETA=-.2; EPS=1e-6
GRAPH_TAU=10.; ASSOC_K=64; ROUTE_K=32
SENT=np.uint16(65535)
set_num_threads(5)
def load_vocab():
with gzip.open(WORK/'final_vocab_50k.pkl.gz','rb') as g: z=pickle.load(g)
terms=z['terms'].tolist(); idf=np.asarray(z['idf'],np.float32)
return terms,idf,{t:i for i,t in enumerate(terms)}
def shard_path(i):
hits=list(ROOT.glob(f'corpus_{i:04d}.jsonl*.gz')); assert len(hits)==1,(i,hits); return hits[0]
def tfidf_shard(p,vocab,idf):
texts=[]
with gzip.open(p,'rt',encoding='utf-8') as f:
for line in f:
o=json.loads(line); texts.append(((o.get('title') or '')+' '+(o.get('text') or '')).strip())
cv=CountVectorizer(vocabulary=vocab,lowercase=True,token_pattern=r'(?u)\b\w\w+\b',dtype=np.int32)
X=cv.transform(texts).tocsr().astype(np.float32)
X.data *= idf[X.indices]
normalize(X,norm='l2',axis=1,copy=False)
X.sort_indices()
return X
@njit(parallel=True,cache=False)
def topk_memberships(indptr,indices,data,F):
N=indptr.size-1
branches=np.full((N,F),np.uint16(65535),np.uint16)
mem=np.zeros((N,F),np.float32)
topL=np.full((N,12),np.uint16(65535),np.uint16)
for d in prange(N):
a=indptr[d]; b=indptr[d+1]
# top 12 descending insertion
vals=np.zeros(12,np.float32); tids=np.full(12,np.uint16(65535),np.uint16)
for p in range(a,b):
v=data[p]; t=np.uint16(indices[p])
# locate insertion descending
pos=12
for r in range(12):
if v>vals[r]: pos=r; break
if pos<12:
for r in range(11,pos,-1): vals[r]=vals[r-1]; tids[r]=tids[r-1]
vals[pos]=v; tids[pos]=t
den=0.0
for s in range(F): den += vals[s]
if den>0:
for s in range(F):
branches[d,s]=tids[s]; mem[d,s]=vals[s]/den
for s in range(12): topL[d,s]=tids[s]
return branches,mem,topL
@njit(cache=False)
def lookup_center(ct,cv,t):
lo=0; hi=ct.size
while lo<hi:
mid=(lo+hi)//2; x=ct[mid]
if x==65535 or x>=t: hi=mid
else: lo=mid+1
if lo<ct.size and ct[lo]==t: return cv[lo]
return 0.0
@njit(parallel=True,cache=False)
def residual_codes(indptr,indices,data,branches,center_terms,center_values,S):
N=indptr.size-1; F=branches.shape[1]
rt=np.full((N,F,S),np.uint16(65535),np.uint16)
rs=np.zeros((N,F,S),np.int8)
for d in prange(N):
a=indptr[d]; b=indptr[d+1]
for sl in range(F):
j=int(branches[d,sl])
if j==65535: continue
best=np.zeros(S,np.float32); bt=np.full(S,np.uint16(65535),np.uint16); bs=np.zeros(S,np.int8)
for p in range(a,b):
t=np.uint16(indices[p]); r=data[p]-lookup_center(center_terms[j],center_values[j],t); ar=abs(r)
# replace current minimum
mi=0; mv=best[0]
for q in range(1,S):
if best[q]<mv: mi=q; mv=best[q]
if ar>mv:
best[mi]=ar; bt[mi]=t; bs[mi]=1 if r>=0 else -1
# sort retained residuals descending by magnitude for determinism
for x in range(S):
mx=x
for y in range(x+1,S):
if best[y]>best[mx]: mx=y
if mx!=x:
tv=best[x]; best[x]=best[mx]; best[mx]=tv
tt=bt[x]; bt[x]=bt[mx]; bt[mx]=tt
ss=bs[x]; bs[x]=bs[mx]; bs[mx]=ss
for q in range(S): rt[d,sl,q]=bt[q]; rs[d,sl,q]=bs[q]
return rt,rs
def prune_rows(mat,k):
rows=[]; cols=[]; vals=[]; mat=mat.tocsr()
for r in range(mat.shape[0]):
a,b=mat.indptr[r],mat.indptr[r+1]; idx=mat.indices[a:b]; dat=mat.data[a:b]
if len(dat)==0: continue
kk=min(k,len(dat)); pick=np.argpartition(dat,-kk)[-kk:]; pick=pick[np.argsort(dat[pick])[::-1]]
rows.extend([r]*kk); cols.extend(idx[pick].tolist()); vals.extend(dat[pick].astype(np.float32).tolist())
return sparse.csr_matrix((np.asarray(vals,np.float32),(np.asarray(rows,np.int32),np.asarray(cols,np.int32))),shape=mat.shape)
if __name__=='__main__':
t_all=time.time(); terms,idf,vocab=load_vocab(); np.save(GEOM/'idf.npy',idf);
with gzip.open(GEOM/'terms.pkl.gz','wb',compresslevel=1) as g: pickle.dump(terms,g,protocol=5)
print('GEOMETRY calibration on first 1,000,000 passages; lexical basis from all 8.84M',flush=True)
# X calibration
xcache=GEOM/'cal_X.npz'
if xcache.exists():
X=sparse.load_npz(xcache).tocsr(); print(' X checkpoint loaded',X.shape,X.nnz,flush=True)
else:
xs=[]
for sid in range(4):
t=time.time(); Xs=tfidf_shard(shard_path(sid),vocab,idf); xs.append(Xs); print(' tfidf shard',sid,Xs.shape,Xs.nnz,'sec',time.time()-t,flush=True)
X=sparse.vstack(xs,format='csr'); del xs; gc.collect(); print(' X',X.shape,X.nnz,flush=True); sparse.save_npz(xcache,X,compressed=False); print(' X checkpoint saved',flush=True)
# branches/topL
if (GEOM/'cal_branches.npy').exists() and (GEOM/'cal_memberships.npy').exists() and (GEOM/'cal_topL.npy').exists():
branches=np.load(GEOM/'cal_branches.npy'); mem=np.load(GEOM/'cal_memberships.npy'); topL=np.load(GEOM/'cal_topL.npy'); print(' membership checkpoint loaded',flush=True)
else:
t=time.time(); branches,mem,topL=topk_memberships(X.indptr.astype(np.int64),X.indices.astype(np.int32),X.data.astype(np.float32),F); print(' memberships sec',time.time()-t,flush=True)
np.save(GEOM/'cal_branches.npy',branches); np.save(GEOM/'cal_memberships.npy',mem); np.save(GEOM/'cal_topL.npy',topL); print(' membership checkpoint saved',flush=True)
# centers exact using sparse algebra
if (GEOM/'center_terms.npy').exists() and (GEOM/'center_values.npy').exists():
center_terms=np.load(GEOM/'center_terms.npy'); center_values=np.load(GEOM/'center_values.npy'); print(' centers checkpoint loaded',flush=True)
else:
t=time.time(); wr=np.repeat(np.arange(N_CAL,dtype=np.int32),F); wc=branches.ravel().astype(np.int32); wd=mem.ravel(); valid=wc!=65535
W=sparse.csr_matrix((wd[valid],(wr[valid],wc[valid])),shape=(N_CAL,M),dtype=np.float32); del wr,wc,wd,valid
mass=np.asarray(W.sum(axis=0)).ravel().astype(np.float32)
center_terms=np.full((M,B),SENT,np.uint16); center_values=np.zeros((M,B),np.float32)
block=512
for start in range(0,M,block):
end=min(M,start+block); C=(W[:,start:end].T@X).tocsr()
for local in range(end-start):
j=start+local
if mass[j]<=0: continue
a,b=C.indptr[local],C.indptr[local+1]; idx=C.indices[a:b]; dat=C.data[a:b]/mass[j]
if len(dat)==0: continue
kk=min(B,len(dat)); pick=np.argpartition(dat,-kk)[-kk:]; ii=idx[pick]; vv=dat[pick]; oo=np.argsort(ii); ii=ii[oo]; vv=vv[oo]
center_terms[j,:kk]=ii.astype(np.uint16); center_values[j,:kk]=vv.astype(np.float32)
if start%4096==0: print(' centers',end,'/',M,flush=True)
np.save(GEOM/'center_terms.npy',center_terms); np.save(GEOM/'center_values.npy',center_values); del W,mass,C; gc.collect(); print(' centers sec',time.time()-t,flush=True)
# residuals
if (GEOM/'cal_res_terms.npy').exists() and (GEOM/'cal_res_signs.npy').exists():
rt=np.load(GEOM/'cal_res_terms.npy',mmap_mode='r'); rs=np.load(GEOM/'cal_res_signs.npy',mmap_mode='r'); print(' residual checkpoint loaded',flush=True)
else:
t=time.time(); rt,rs=residual_codes(X.indptr.astype(np.int64),X.indices.astype(np.int32),X.data.astype(np.float32),branches,center_terms,center_values,S); print(' residual sec',time.time()-t,flush=True); np.save(GEOM/'cal_res_terms.npy',rt); np.save(GEOM/'cal_res_signs.npy',rs); print(' residual checkpoint saved',flush=True)
# reliability global
total_memberships=int(np.sum(branches!=SENT)); gcnt=np.zeros(M,np.float64); gsum=np.zeros(M,np.float64)
for d0 in range(0,N_CAL,50_000):
tt=rt[d0:d0+50_000].ravel(); zz=rs[d0:d0+50_000].ravel().astype(np.float64); ok=tt!=SENT
gcnt += np.bincount(tt[ok].astype(np.int64),minlength=M)
gsum += np.bincount(tt[ok].astype(np.int64),weights=zz[ok],minlength=M)
ge2=gcnt/max(1,total_memberships); ge1=gsum/max(1,total_memberships); gvar=np.maximum(ge2-ge1*ge1,0.)
# branch order calibration
flat=branches.ravel(); valid=np.flatnonzero(flat!=SENT); order=valid[np.argsort(flat[valid],kind='stable')]; sorted_br=flat[order].astype(np.int64); counts=np.bincount(sorted_br,minlength=M); offs=np.zeros(M+1,np.int64); np.cumsum(counts,out=offs[1:])
f_rt=rt.reshape(N_CAL*F,S); f_rs=rs.reshape(N_CAL*F,S)
# Memory-bounded reliability CSR. Upper bound is one entry per residual occurrence.
max_rel=N_CAL*F*S
rel_i=np.memmap(GEOM/'rel_indices.u16',dtype=np.uint16,mode='w+',shape=(max_rel,))
rel_v=np.memmap(GEOM/'rel_data.f32',dtype=np.float32,mode='w+',shape=(max_rel,))
rel_p=np.zeros(M+1,np.uint64); pos_rel=0
t=time.time()
for j in range(M):
a,b=offs[j],offs[j+1]; mpos=order[a:b]; nj=len(mpos)
if nj>0:
tj=f_rt[mpos].ravel(); sj=f_rs[mpos].ravel().astype(np.float64); ok=tj!=SENT
if np.any(ok):
u,inv=np.unique(tj[ok],return_inverse=True); cnt=np.bincount(inv).astype(np.float64); sm=np.bincount(inv,weights=sj[ok]).astype(np.float64)
e2=cnt/nj; e1=sm/nj; lv=np.maximum(e2-e1*e1,0.); shr=(cnt/(cnt+TAU))*lv+(TAU/(cnt+TAU))*gvar[u.astype(np.int64)]; w=np.power(shr+EPS,BETA)
if len(w) and np.isfinite(w).all() and w.mean()>0: w=w/w.mean()
nrel=len(u); rel_i[pos_rel:pos_rel+nrel]=u.astype(np.uint16); rel_v[pos_rel:pos_rel+nrel]=w.astype(np.float32); pos_rel+=nrel
rel_p[j+1]=pos_rel
if j%5000==0 and j: print(' reliability branch',j,'pairs',pos_rel,flush=True)
rel_i.flush(); rel_v.flush(); np.save(GEOM/'rel_indptr.npy',rel_p); np.save(GEOM/'global_sign_var.npy',gvar.astype(np.float32));
with open(GEOM/'rel_meta.json','w') as f: json.dump({'nnz':int(pos_rel),'max_entries':int(max_rel)},f)
print(' reliability nnz',pos_rel,'sec',time.time()-t,flush=True)
del rt,rs,order,flat,valid,sorted_br,counts,offs,f_rt,f_rs,rel_i,rel_v,rel_p; gc.collect()
# graph exact from calibration topL: n_i and unordered pair counts
t=time.time(); flatL=topL.ravel(); good=flatL!=SENT; ni=np.bincount(flatL[good].astype(np.int64),minlength=M).astype(np.float64); del flatL,good
maxpairs=N_CAL*66; pairkeys=np.full(maxpairs,np.uint32(0xffffffff),np.uint32); pos=0
# vectorized per pair position across documents: only 66 loops, each handles 1m rows
for a in range(L):
ia=topL[:,a]
for b in range(a+1,L):
ib=topL[:,b]; ok=(ia!=SENT)&(ib!=SENT); n=int(ok.sum())
x=ia[ok].astype(np.uint32); y=ib[ok].astype(np.uint32); lo=np.minimum(x,y); hi=np.maximum(x,y); pairkeys[pos:pos+n]=(lo<<16)|hi; pos+=n
print(' pair occurrences',pos,'sorting...',flush=True); keys=pairkeys[:pos]; keys.sort(); del pairkeys,topL; gc.collect()
# run-length encode sorted keys without np.unique's large extra sort
change=np.empty(len(keys),dtype=bool); change[0]=True; change[1:]=keys[1:]!=keys[:-1]; starts=np.flatnonzero(change); ukeys=keys[starts].copy(); cnt=np.diff(np.append(starts,len(keys))).astype(np.float32); del keys,change,starts; gc.collect(); print(' unique pairs',len(ukeys),flush=True)
ii=(ukeys>>16).astype(np.int32); jj=(ukeys & np.uint32(65535)).astype(np.int32); nij=cnt.astype(np.float64); ppmi=np.log((nij*float(N_CAL)+1e-12)/(ni[ii]*ni[jj]+1e-12)); ppmi=np.maximum(ppmi,0.); score=(nij/(nij+GRAPH_TAU))*ppmi; mask=score>0; ii=ii[mask]; jj=jj[mask]; sv=score[mask].astype(np.float32); del ukeys,cnt,nij,ppmi,score,mask; gc.collect(); print(' positive pair edges',len(sv),flush=True)
rows=np.concatenate([ii,jj]); cols=np.concatenate([jj,ii]); vals=np.concatenate([sv,sv]); del ii,jj,sv; Afull=sparse.csr_matrix((vals,(rows,cols)),shape=(M,M)); del rows,cols,vals; gc.collect(); A=prune_rows(Afull,ASSOC_K); del Afull; gc.collect(); sparse.save_npz(GEOM/'assoc_ppmi.npz',A,compressed=True); print(' A nnz',A.nnz,flush=True)
An=normalize(A,norm='l2',axis=1,copy=True); gr=[]; gc2=[]; gv=[]; bs=256
for start in range(0,M,bs):
end=min(M,start+bs); sim=(An[start:end]@An.T).tocsr()
for local in range(end-start):
i=start+local; a,b=sim.indptr[local],sim.indptr[local+1]; js=sim.indices[a:b]; vv2=sim.data[a:b]; mk=(js!=i)&(vv2>0); js=js[mk]; vv2=vv2[mk]
if len(vv2)==0: continue
kk=min(ROUTE_K,len(vv2)); pk=np.argpartition(vv2,-kk)[-kk:]; pk=pk[np.argsort(vv2[pk])[::-1]]; gr.extend([i]*kk); gc2.extend(js[pk].tolist()); gv.extend(vv2[pk].astype(np.float32).tolist())
if start%4096==0: print(' G',end,'/',M,flush=True)
G=sparse.csr_matrix((np.asarray(gv,np.float32),(np.asarray(gr,np.int32),np.asarray(gc2,np.int32))),shape=(M,M)); sparse.save_npz(GEOM/'context_similarity.npz',G,compressed=True); print(' G nnz',G.nnz,'graph sec',time.time()-t,flush=True)
# Save metadata
with open(GEOM/'meta.json','w') as f: json.dump({'calibration_docs':N_CAL,'full_corpus_docs':8_841_823,'F':F,'B':B,'S':S,'L':L,'tau':TAU,'beta':BETA,'graph_tau':GRAPH_TAU,'assoc_k':ASSOC_K,'route_k':ROUTE_K,'build_seconds':time.time()-t_all},f,indent=2)
print('GEOMETRY DONE total sec',time.time()-t_all,flush=True)
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