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uuid
string
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chunk_end_index
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input_ids
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thought_text
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list
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list
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thoughtless_log_prob_per_token
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thoughtful_log_prob_sum
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thoughtful_log_prob_per_token
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false
00f4e67e-ca74-4205-b34b-1c91121b3370
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[]
[]
[]
[]
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null
[]
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[]
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[]
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[ "<thought>\nThe cut occurs mid-equation, in the middle of the derivative expression $\\frac{d}{d \\theta} \\gamma_{...}$. The next tokens must complete the derivative expression, likely specifying a parameter or index for $\\gamma$, such as a subscript like $\\theta_i$ or $x_i$, or a function argument. The most pla...
[ 0 ]
[ false ]
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[ -95.18690490722656 ]
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false
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[]
[]
[]
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null
[]
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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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false
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[]
[]
[]
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[ "<thought>\nThe text is mid-clause in the second item of an enumerated list. The phrase is defining a condition on the derivative of $f$ at points $\\theta_i$, and the derivative expression is cut off mid-symbol at $\\gamma_{x_i}(0)$. The next tokens must complete the derivative expression, likely as $\\frac{d}{d \...
[ 0 ]
[ false ]
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[ -46.46929931640625 ]
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false
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false
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[]
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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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[ "<thought>\nThe text is in the middle of a proof, referencing Lemma~\\ref{lemma:modulo}, and the sentence structure indicates a conditional continuation: \"we know that if $\\mathcal{R}=0$, $...\" The next tokens will likely begin with a logical or mathematical consequence of the condition $\\mathcal{R}=0$, possibl...
[ 0 ]
[ false ]
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[ -52.64226531982422 ]
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false
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[]
[]
[]
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[]
[]
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[ "<thought>\nThe cut occurs mid-sentence inside a paragraph discussing the approximation of a Lie group, with the last partial word being \"x\". Given the preceding context, the next 8 tokens are most likely to complete the phrase \"two neighboring points $x$ and $x'$\", introducing a pair of points for further disc...
[ 0 ]
[ false ]
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[ -2.332409381866455 ]
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false
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[]
[]
[]
[]
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null
[]
[]
false
00f4e67e-ca74-4205-b34b-1c91121b3370
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[]
[]
[]
[]
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null
[]
[]
false
00f4e67e-ca74-4205-b34b-1c91121b3370
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[]
[]
[]
[]
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[]
[]
false
00f4e67e-ca74-4205-b34b-1c91121b3370
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[]
[]
[]
[]
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[]
[]
false
00f4e67e-ca74-4205-b34b-1c91121b3370
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[]
[]
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00f4e67e-ca74-4205-b34b-1c91121b3370
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[]
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[]
[]
[]
[]
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null
[]
[]
false
00f4e67e-ca74-4205-b34b-1c91121b3370
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2,208
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[]
[]
[]
[]
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null
[]
[]
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00f4e67e-ca74-4205-b34b-1c91121b3370
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[]
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[ "<thought>\nThe text is mid-sentence, having just introduced a second drawback. The next 8 tokens will likely continue the sentence by specifying or elaborating on this second drawback, possibly naming it or describing its impact. Since the first drawback was introduced with \"the first is the curse of dimensionali...
[ 0 ]
[ false ]
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[ -15.389297485351562 ]
[ [ -0.33203125, -0.013671875, -0.5703125, -5.5, -0.94921875, -3.296875, -0.0849609375, -0.69140625, -0.15234375, -2.671875, -0.016357421875, -0.01708984375, -0.0031280517578125, -0.00092315673828125, -0.00408935546875, -0.00104522705078125, -0.00078...
false
00f4e67e-ca74-4205-b34b-1c91121b3370
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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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null
[]
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false
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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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[]
[]
false
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[]
[]
[]
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[]
[]
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[]
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00f4e67e-ca74-4205-b34b-1c91121b3370
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[]
[]
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[ "<thought>\nThe next 8 tokens are likely to be \"and not data points,\" as the preceding sentence ends with \"as its analytical formula is given by the approximation scheme used.\" This suggests a contrast with the previous paragraph's emphasis on data-point constraints, and the sentence is clearly mid-contrast, in...
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[ "<thought>\nThe text cuts off mid-sentence with \"We\". The next token must be the beginning of a new word, likely a noun or gerund, given the context of introducing a new idea or method. The immediate continuation is likely \"We propose\" or \"We define\", as the paper is transitioning into a new section of method...
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