Datasets:
JackHsieh
/
chunk-records-example

Dataset card Data Studio Files
xet
 Community
is_thoughtful
bool
uuid
string
chunk_index
int64
chunk_start_index
int64
chunk_end_index
int64
num_scored_tokens
int64
input_ids
list
thought_text
list
g
list
truncated
list
thoughtless_log_prob_sum
float32
thoughtless_log_prob_per_token
list
thoughtful_log_prob_sum
list
thoughtful_log_prob_per_token
list
false
005c1d1c-718c-49a9-a586-6f31b38722f6
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1,056
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[]
[]
[]
[]
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null
[]
[]
true
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[ "<thought>\nThe text is mid-sentence, inside a clause describing the observational behavior of the learner. The phrase \"if\" suggests a conditional statement is about to be introduced. The most likely next tokens are a clause beginning with a variable or expression involving $S$, $S^\\star$, or $t$, possibly invol...
[ 0 ]
[ false ]
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[ -56.51517868041992 ]
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false
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[]
[]
[]
[]
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null
[]
[]
true
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[ "<thought>\nThe cut occurs mid-sentence in the phrase \"Consequently, both E\", with \"E\" likely being the start of a technical term or abbreviation such as \"E[T]\" or \"E[·]\" denoting an expectation. The next 8 tokens will likely complete this expectation expression, possibly involving a random variable or a lo...
[ 0 ]
[ false ]
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[ -65.2790756225586 ]
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false
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[]
[]
[]
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false
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[]
[]
[]
[]
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null
[]
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false
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[]
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[]
[]
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false
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false
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false
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[]
[]
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[]
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null
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[]
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false
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false
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[]
[]
[]
[]
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null
[]
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false
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[]
[]
[]
[]
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null
[]
[]
false
005c1d1c-718c-49a9-a586-6f31b38722f6
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[]
[]
[]
[]
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null
[]
[]
false
005c1d1c-718c-49a9-a586-6f31b38722f6
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[]
[]
[]
[]
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null
[]
[]
false
005c1d1c-718c-49a9-a586-6f31b38722f6
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[]
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null
[]
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false
005c1d1c-718c-49a9-a586-6f31b38722f6
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[]
[]
[]
[]
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null
[]
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true
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[ "<thought>\nThe next 8 tokens are likely to continue the summation expression being set up, specifically completing the inner sum over subsets $ S $ of size $ d $ that are contained in $ S_t $. The most immediate continuation is the indicator function $\\boldsymbol{1}\\{S\\subseteq S_t\\}$, which is the natural nex...
[ 0 ]
[ false ]
-19.616838
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[ -18.979496002197266 ]
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false
005c1d1c-718c-49a9-a586-6f31b38722f6
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[]
[]
[]
[]
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null
[]
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false
005c1d1c-718c-49a9-a586-6f31b38722f6
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[]
[]
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[]
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null
[]
[]
false
005c1d1c-718c-49a9-a586-6f31b38722f6
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[]
[]
[]
[]
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null
[]
[]
false
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[]
[]
[]
[]
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null
[]
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true
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[ "<thought>\nThe text is mid-derivation in a mathematical proof, having just invoked an equation reference (\\ref{eq:proof-lb-i2}) and specifying that the sum is taken over subsets $S$ of size $d$. The next tokens will likely be a mathematical expression or inequality involving the sum $\\sum_{|S|=d}T_{S}$, continui...
[ 0 ]
[ false ]
-5.485399
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[ -7.246162414550781 ]
[ [ -0.019775390625, -0.1572265625, -0.00130462646484375, -0.56640625, -0.00982666015625, -0.0026702880859375, -0.00131988525390625, -0.001556396484375, -0.00634765625, -0.0001583099365234375, -0.2216796875, -0.1044921875, -3.203125, -0.1416015625, -0.228515...
true
005c1d1c-718c-49a9-a586-6f31b38722f6
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1,920
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[ [ 13708, 2450, 397, 785, 13922, 1790, 220, 23, 11211, 1969, 4583, 279, 1482, 3409, 330, 10374, 1626, 1, 892, 374, 264, 97913, 18072, 369, 6888, 3856, 11, 4363, 8110, 553, 264, 7735, 47...
[ "<thought>\nThe immediate next 8 tokens must complete the current word \"mathfr\" which is a LaTeX macro for math mode, likely followed by a symbol or expression related to the lower bound. Given the context, the next token is most likely \"R\", forming \"\\mathfrak{R}\" which is a common notation for regret in the...
[ 0 ]
[ false ]
-8.479681
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[ -9.14753532409668 ]
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false
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[]
[]
[]
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null
[]
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false
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[]
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null
[]
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false
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[]
[]
[]
[]
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null
[]
[]
false
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[]
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[]
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null
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false
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[]
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false
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[]
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null
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false
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[]
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[]
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false
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[]
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[]
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null
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false
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[]
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null
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false
005c1d1c-718c-49a9-a586-6f31b38722f6
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[]
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false
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[]
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true
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[ "<thought>\nThe next 8 tokens must include the closing parenthesis of the square root in the denominator of the fraction, followed by the continuation of the $\\min$ function's second argument, likely involving a multiplication or division by $\\Gamma_{g,d,K}$, as the expression is being set to a value for $\\delta...
[ 0 ]
[ false ]
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[ -31.342660903930664 ]
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false
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[]
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false
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null
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false
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[]
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null
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null
[]
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false
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[]
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null
[]
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false
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[]
[]
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null
[]
[]
false
005c1d1c-718c-49a9-a586-6f31b38722f6
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[]
[]
[]
[]
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null
[]
[]
false
005c1d1c-718c-49a9-a586-6f31b38722f6
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2,688
32
[]
[]
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null
[]
[]
false
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[]
[]
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null
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true
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[ "<thought>\nThe text is at the beginning of a new paragraph, immediately following the end of a proof. The phrase \"Next, we\" is a standard transition into a new section or result. Given the structure and content of the previous proof, the most likely continuation is a statement introducing a new theorem, lemma, o...
[ 0 ]
[ false ]
-53.618408
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[ -59.07171630859375 ]
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false
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[]
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[]
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[]
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[ "<thought>\nThe cut occurs mid-word at \"p\" of \"p\\in [0,1]^N\", a standard notation for price vectors in this context. The next 8 tokens will complete the lemma statement by introducing the price vector and likely the constraint on the maximum number of items offered, i.e., $\\|p\\|_0 \\leq K$. This is required ...
[ 0 ]
[ false ]
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[ -40.221256256103516 ]
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false
005c1d1c-718c-49a9-a586-6f31b38722f6
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[]
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[]
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[]
[]
[]
[]
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false
005c1d1c-718c-49a9-a586-6f31b38722f6
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[]
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[]
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[ "<thought>\nThe next 8 tokens will almost certainly be \"on $K$\" to complete the phrase \"depending only on $K$\", which is a standard mathematical convention when specifying parameters that constants rely on. The token immediately following this will likely be a comma or a period, but within the strict 8-token wi...
[ 0 ]
[ false ]
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[ -30.71773910522461 ]
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false
005c1d1c-718c-49a9-a586-6f31b38722f6
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[]
[]
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true
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[ "<thought>\nThe cut occurs mid-word in \"such that for any bandit algorithm and $N$\", with the next token likely being a right parenthesis or a quantifier like \"$\\geq$\" or a condition on $N$, given the formal style of the lemma. The next 8 tokens will likely complete the statement of the lemma's conditions, pos...
[ 0 ]
[ false ]
-43.101814
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[ -39.44740295410156 ]
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false
005c1d1c-718c-49a9-a586-6f31b38722f6
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[]
[]
[]
[]
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[]
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false
005c1d1c-718c-49a9-a586-6f31b38722f6
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[]
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[]
[]
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[]
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[]
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[]
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[]
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[]
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[]
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[]
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005c1d1c-718c-49a9-a586-6f31b38722f6
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[]
[]
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[]
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[]
[]
false
005c1d1c-718c-49a9-a586-6f31b38722f6
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[]
[]
[]
[]
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null
[]
[]
false
005c1d1c-718c-49a9-a586-6f31b38722f6
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[]
[]
[]
[]
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[]
[]
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005c1d1c-718c-49a9-a586-6f31b38722f6
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[]
[]
[]
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[ "<thought>\nThe immediate continuation must complete the definition of the reward function $ R(S,v_t) $, which is currently written as $ R(S,v_t) = \\frac{\\sum_{i\\in S}p_iv_{ti}}{...} $. Given the multinomial logit (MNL) model context and the unit price assumption $ p_i \\equiv 1 $, the denominator is expected to...
[ 0 ]
[ false ]
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[ -25.292261123657227 ]
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false
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[]