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
true
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[ "<thought>\nThe text cuts off mid-phrase at \"We will from now assume that the manifold of the data is built upon the action of\". The next tokens must complete the noun phrase following \"action of\", likely a mathematical object such as a Lie group, given the context of the surrounding discussion on Lie groups, e...
[ 0 ]
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false
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[ "<thought>\nThe text is mid-sentence, following a mention of \"our theorem condition also requires that,\" which signals the start of a condition or constraint. Given the preceding mathematical context involving risk bounds, dimension $d$, and noise level $\\eta$, the next few tokens are likely to introduce a mathe...
[ 0 ]
[ false ]
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[ -41.8660888671875 ]
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false
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[ "<thought>\nThe text cuts off in the middle of a mathematical condition being set up, specifically in the context of a requirement for achieving a standard risk of $\\eta$. The phrase \"we need\" suggests a condition or bound involving $\\bmu$ is about to be stated, likely in the form of an inequality or scaling re...
[ 0 ]
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[ -44.15868377685547 ]
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false
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[ "<thought>\nThe text is mid-sentence, having introduced the requirement that $\\|\\bmu\\|_2 = \\Theta(d^r)$ for some $r \\in (1/4, 1/2]$. The next 8 tokens will most likely continue this sentence by elaborating on the implications of this condition, possibly specifying the exact relationship between $r$ and the ris...
[ 0 ]
[ false ]
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[ -46.6956787109375 ]
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false
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[ "<thought>\nThe cut occurs mid-range in the parameter list of the theorem statement, specifically after $\\delta \\in (0$ and before the closing parenthesis and the theorem's body. The next few tokens must complete the interval definition for $\\delta$, most likely as $\\delta \\in (0,1)$, given the typical use of ...
[ 0 ]
[ false ]
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[ -22.571983337402344 ]
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false
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[ "<thought>\nThe sentence is mid-phrase, cutting off at the end of the condition $1 \\leq p \\leq$. The next tokens must complete this inequality, likely specifying an upper bound for $p$, which is a standard norm constraint in adversarial robustness literature. The most plausible completion is $p \\leq \\infty$, as...
[ 0 ]
[ false ]
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[ -1.2546862363815308 ]
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false
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[ "<thought>\nThe text is mid-way through a theorem statement, specifically in the middle of a probability expression $\\PP_{(\\xb$. The next token must be the completion of the variable name inside the subscript of the probability measure, likely $\\xb$, followed by a closing parenthesis. After that, the theorem wil...
[ 0 ]
[ false ]
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[ -4.577855110168457 ]
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true
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[ "<thought>\nThe text is mid-way through writing a probability expression for the adversarial risk in a theorem. The current token ends with `\\cD]` inside a probability statement, so the next tokens must continue the expression inside the probability, likely beginning with a clause involving the adversarial risk or...
[ 0 ]
[ false ]
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[ -27.148103713989258 ]
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false
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[ "<thought>\nThe immediate next 8 tokens will most likely complete the sentence fragment inside the probability statement, specifically the condition involving the adversarial example. Given the structure of the probability expression and the use of \"s.t.\" (short for \"such that\"), the next tokens should logicall...
[ 0 ]
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[ -38.725914001464844 ]
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true
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[ "<thought>\nThe text is mid-sentence inside a theorem statement, with the sentence structure being an inequality or condition in the probability expression. The phrase ends with \"f_{\\btheta}\" and is likely to be followed by a subscript or argument to the function $f$, as well as a comparison operator or inequali...
[ 0 ]
[ false ]
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[ -91.48675537109375 ]
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[ "<thought>\nThe text cuts off mid-exponent in a probabilistic bound. The next tokens must complete the exponential expression, likely involving the term $-\\Omega(\\cdot)$ or $-c \\cdot \\text{poly}(d)$ for some constant $c > 0$, as is standard in risk or generalization bounds in high-dimensional statistics. Given ...
[ 0 ]
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[ "<thought>\nThe cut occurs in the middle of an exponential expression inside a bound on adversarial risk. The next tokens will likely complete the exponent’s inner expression, continuing the mathematical structure introduced by $\\exp\\Bigg( -C' \\bigg( \\frac{ \\big$. This suggests a fraction or norm expression in...
[ 0 ]
[ false ]
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[ "<thought>\nThe cut occurs in the middle of an exponent in an exponential function, specifically in the term $\\exp\\Bigg( -C' \\bigg( \\frac{ \\big(\\|\\bmu\\|_2^2 - 4\\epsilon$. The next tokens will most likely complete the numerator of the fraction, which is currently missing a closing parenthesis and the full ...
[ 0 ]
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[ "<thought>\nThe text cuts off mid-expression inside an exponent, specifically after the term $\\sqrt{d}$. The next few tokens are likely to complete the denominator of the fraction inside the exponential, most likely continuing with a closing parenthesis and possibly a multiplier or additional term that depends on ...
[ 0 ]
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[ "<thought>\nThe cut occurs mid-exponent in an exponential bound, inside a complex expression involving norms and constants. The next few tokens must complete the squaring operation that begins with a closing parenthesis and the exponentiation of the squared term. The immediate next tokens will likely be a closing p...
[ 0 ]
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[ "<thought>\nThe text is mid-way through an exponent in an exponential decay bound for adversarial risk. The previous line ends with an open parenthesis and a minus sign, suggesting a continuation of the expression inside the exponent. Given the structure of the preceding bound for $1 \\leq p \\leq 2$, the next part...
[ 0 ]
[ false ]
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false
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[ "<thought>\nThe cut occurs mid-expression in the exponent of an exponential bound, specifically within the term $\\frac{C'''\\|\\bmu\\|_2\\log n}{\\log t}$ from the $p > 2$ case. The next 8 tokens will likely continue the subtraction, completing the fraction and continuing the sequence of terms in the exponent. The...
[ 0 ]
[ false ]
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[ -24.028879165649414 ]
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false
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