JackHsieh/chunk-records-example · Datasets at Hugging Face

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	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	12	384	416	32	[]	[]	[]	[]	-39.487976	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	13	416	448	32	[]	[]	[]	[]	-41.967972	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	14	448	480	32	[]	[]	[]	[]	-17.47308	null	[]	[]
true	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	15	480	512	32	[ [ 13708, 2450, 397, 785, 3931, 13666, 5099, 89050, 4766, 264, 86810, 11, 11689, 304, 279, 17133, 1036, 333, 400, 36, 23013, 61, 35702, 12935, 854, 1959, 279, 58755, 4445, 2971, 369, 264, ...	[ "<thought>\nThe cut occurs mid-definition inside a footnote, specifically in the phrase “if $E[e^{\\lambda” — the exponential moment condition for a subgaussian random variable. The next tokens must complete the exponential expression, most likely as “(X - E[X])] \\leq e^{\\lambda^2 \\sigma^2 / 2}$” or a similar st...	[ 0 ]	[ false ]	-24.966846	[ -0.34375, -8.5, -1.1796875, -0.345703125, -0.484375, -0.0224609375, -0.89453125, -2.546875, -0.07861328125, -0.333984375, -8.9375, -0.375, -0.349609375, -0.000720977783203125, -0.001922607421875, -0.0029449462890625, -0.000286102294921875, -0.00982666015625, -0.000181198120117187...	[ -26.553077697753906 ]	[ [ -0.2392578125, -8.1875, -1.546875, -0.5078125, -0.5, -0.0294189453125, -1.078125, -1.9453125, -0.11376953125, -0.431640625, -9.1875, -0.9140625, -0.99609375, -0.0031280517578125, -0.0230712890625, -0.01556396484375, -0.000965118408203125, -0....
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	16	512	544	32	[]	[]	[]	[]	-10.08703	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	17	544	576	32	[]	[]	[]	[]	-28.833366	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	18	576	608	32	[]	[]	[]	[]	-10.678263	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	19	608	640	32	[]	[]	[]	[]	-39.038635	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	20	640	672	32	[]	[]	[]	[]	-0.534805	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	21	672	704	32	[]	[]	[]	[]	-6.36882	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	22	704	736	32	[]	[]	[]	[]	-0.098303	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	23	736	768	32	[]	[]	[]	[]	-39.51585	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	24	768	800	32	[]	[]	[]	[]	-48.660767	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	25	800	832	32	[]	[]	[]	[]	-69.088333	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	26	832	864	32	[]	[]	[]	[]	-53.789463	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	27	864	896	32	[]	[]	[]	[]	-24.21146	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	28	896	928	32	[]	[]	[]	[]	-30.988022	null	[]	[]
true	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	29	928	960	32	[ [ 13708, 2450, 397, 785, 3931, 13666, 5099, 1331, 18380, 304, 279, 6149, 315, 458, 31205, 11, 11689, 518, 279, 835, 315, 279, 19419, 57960, 37018, 90, 17, 15170, 12947, 576, 1790, 3950, ...	[ "<thought>\nThe cut occurs mid-sentence in the middle of an inequality, specifically at the end of the fraction $\\frac{2}{$. The next token must be the numerator or the continuation of the fraction’s expression. Given the context of a generalization bound in statistical learning theory, the numerator is likely a f...	[ 0 ]	[ false ]	-23.742229	[ -0.00001800060272216797, -0.0478515625, -0.66015625, -0.0048828125, -0.00089263916015625, -0.1953125, -0.0223388671875, -3.234375, -5.34375, -1.1484375, -3.96875, -0.0986328125, -0.019775390625, -6.59375, -0.58203125, -0.9609375, -0.7734375, -0.037353515625, -0.00081634521484375,...	[ -24.804527282714844 ]	[ [ -0.00015544891357421875, -0.050537109375, -0.546875, -0.0069580078125, -0.000827789306640625, -0.11767578125, -0.02734375, -3.4375, -5.53125, -0.8671875, -4.28125, -0.06298828125, -0.01397705078125, -7.15625, -0.5390625, -1.2109375, -0.8984375, ...
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	30	960	992	32	[]	[]	[]	[]	-17.953783	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	31	992	1,024	32	[]	[]	[]	[]	-42.306419	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	32	1,024	1,056	32	[]	[]	[]	[]	-40.406189	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	33	1,056	1,088	32	[]	[]	[]	[]	-50.938995	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	34	1,088	1,120	32	[]	[]	[]	[]	-68.948936	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	35	1,120	1,152	32	[]	[]	[]	[]	-48.897945	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	36	1,152	1,184	32	[]	[]	[]	[]	-31.832253	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	37	1,184	1,216	32	[]	[]	[]	[]	-28.030588	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	38	1,216	1,248	32	[]	[]	[]	[]	-24.457382	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	39	1,248	1,280	32	[]	[]	[]	[]	-42.773079	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	40	1,280	1,312	32	[]	[]	[]	[]	-17.15844	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	41	1,312	1,344	32	[]	[]	[]	[]	-56.795326	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	42	1,344	1,376	32	[]	[]	[]	[]	-91.692673	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	43	1,376	1,408	32	[]	[]	[]	[]	-11.806931	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	44	1,408	1,440	32	[]	[]	[]	[]	-11.565239	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	45	1,440	1,472	32	[]	[]	[]	[]	-42.569115	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	46	1,472	1,504	32	[]	[]	[]	[]	-94.085075	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	47	1,504	1,536	32	[]	[]	[]	[]	-30.587881	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	48	1,536	1,568	32	[]	[]	[]	[]	-49.968414	null	[]	[]
true	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	49	1,568	1,600	32	[ [ 13708, 2450, 397, 785, 3931, 13666, 5099, 1331, 18380, 11, 304, 279, 6149, 315, 26312, 57960, 9150, 9198, 90, 47, 51535, 54, 50832, 5318, 92, 12947, 576, 1482, 21647, 374, 330, 10061, ...	[ "<thought>\nThe cut occurs mid-sentence, in the middle of defining $\\widehat{P}_{W,Z_i}$. The current clause is \"Let us choose $\\widehat{P}_{W,Z_i} = P_W\\otimes\\mu$ for $i=1$\", and the next token must be the continuation of the clause, most likely the next index in the enumeration, which is \"i=1$ to $n$\". T...	[ 0 ]	[ false ]	-56.398422	[ -0.921875, -0.1416015625, -0.60546875, -0.65234375, -7.25, -0.216796875, -0.0008087158203125, -0.0390625, -9.125, -0.06689453125, -0.045654296875, -3.125, -1.234375, -1.734375, -0.17578125, -3.875, -0.28515625, -0.83984375, -7.3125, -0.16796875, -0.2001953125, -0.333984375,...	[ -57.1187629699707 ]	[ [ -1.3515625, -0.10107421875, -0.6015625, -0.73046875, -6.78125, -0.193359375, -0.000812530517578125, -0.0361328125, -9.1875, -0.06396484375, -0.04736328125, -3.140625, -1.1328125, -1.7734375, -0.298828125, -3.609375, -0.34765625, -0.86328125, ...
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	50	1,600	1,632	32	[]	[]	[]	[]	-30.036789	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	51	1,632	1,664	32	[]	[]	[]	[]	-10.807658	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	52	1,664	1,696	32	[]	[]	[]	[]	-34.706154	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	53	1,696	1,728	32	[]	[]	[]	[]	-6.177449	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	54	1,728	1,760	32	[]	[]	[]	[]	-3.49026	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	55	1,760	1,792	32	[]	[]	[]	[]	-43.486416	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	56	1,792	1,824	32	[]	[]	[]	[]	-10.381817	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	57	1,824	1,856	32	[]	[]	[]	[]	-6.207346	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	58	1,856	1,888	32	[]	[]	[]	[]	-45.439518	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	59	1,888	1,920	32	[]	[]	[]	[]	-44.425587	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	60	1,920	1,952	32	[]	[]	[]	[]	-1.953065	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	61	1,952	1,984	32	[]	[]	[]	[]	-59.395283	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	62	1,984	2,016	32	[]	[]	[]	[]	-60.197186	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	63	2,016	2,048	32	[]	[]	[]	[]	-31.335766	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	64	2,048	2,080	32	[]	[]	[]	[]	-15.914214	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	65	2,080	2,112	32	[]	[]	[]	[]	-35.008739	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	66	2,112	2,144	32	[]	[]	[]	[]	-22.544409	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	67	2,144	2,176	32	[]	[]	[]	[]	-67.179558	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	68	2,176	2,208	32	[]	[]	[]	[]	-22.093924	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	69	2,208	2,240	32	[]	[]	[]	[]	-19.714701	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	70	2,240	2,272	32	[]	[]	[]	[]	-50.891937	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	71	2,272	2,304	32	[]	[]	[]	[]	-20.046661	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	72	2,304	2,336	32	[]	[]	[]	[]	-26.913265	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	73	2,336	2,368	32	[]	[]	[]	[]	-54.027321	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	74	2,368	2,400	32	[]	[]	[]	[]	-19.742796	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	75	2,400	2,432	32	[]	[]	[]	[]	-9.997185	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	76	2,432	2,464	32	[]	[]	[]	[]	-42.096909	null	[]	[]
true	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	77	2,464	2,496	32	[ [ 13708, 2450, 397, 785, 1467, 374, 5099, 1331, 18380, 4766, 458, 13383, 4573, 11, 3432, 1101, 5326, 330, 2132, 1083, 11017, 7069, 504, 576, 13173, 1124, 1097, 90, 785, 13173, 25, 3251, ...	[ "<thought>\nThe text is mid-sentence inside an Example environment, having just written \"It also follows immediately from Theorem \\ref{Theorem: General Upper Bounds} that:\" and is about to present a new inequality or bound. The previous example used mutual information $I(W; Z_i)$ as an argument in the bounds, an...	[ 0 ]	[ false ]	-39.408501	[ -0.68359375, -0.044921875, -0.2578125, -0.0172119140625, -0.51171875, -0.203125, -0.03857421875, -0.00408935546875, -0.033203125, -0.2734375, -0.1376953125, -0.29296875, -0.0020599365234375, -0.000017523765563964844, -0.0703125, -0.67578125, -0.0206298828125, -0.000667572021484375,...	[ -40.741477966308594 ]	[ [ -0.69140625, -0.232421875, -0.2197265625, -0.03759765625, -0.66796875, -0.1826171875, -0.061767578125, -0.00506591796875, -0.039306640625, -0.271484375, -0.302734375, -0.130859375, -0.0030517578125, -0.000015974044799804688, -0.0986328125, -0.8671875...
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	78	2,496	2,528	32	[]	[]	[]	[]	-13.517611	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	79	2,528	2,560	32	[]	[]	[]	[]	-25.487591	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	80	2,560	2,592	32	[]	[]	[]	[]	-18.773666	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	81	2,592	2,624	32	[]	[]	[]	[]	-5.953183	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	82	2,624	2,656	32	[]	[]	[]	[]	-44.441898	null	[]	[]
true	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	83	2,656	2,688	32	[ [ 13708, 2450, 397, 785, 3931, 13666, 5099, 1331, 18380, 304, 279, 6149, 315, 458, 31205, 2878, 458, 5285, 4573, 13, 576, 1537, 9434, 3950, 374, 57960, 37018, 90, 16, 15170, 77, 31716, ...	[ "<thought>\nThe cut occurs mid-sentence in the middle of an inequality within an align environment. The last visible token is $\\frac{1}{n}$, and the next few tokens will almost certainly continue the expression, likely with summation notation or a function involving $i=1,\\cdots,n$, mirroring the structure of the ...	[ 0 ]	[ false ]	-8.076443	[ -0.265625, -0.423828125, -0.2578125, -0.1767578125, -0.000362396240234375, -0.0001621246337890625, -0.000698089599609375, -0.0732421875, -3.046875, -0.02587890625, -0.00262451171875, -0.035400390625, -0.0027008056640625, -0.004547119140625, -0.01507568359375, -0.478515625, -0.0008659...	[ -9.181626319885254 ]	[ [ -0.2001953125, -0.2216796875, -0.3125, -0.166015625, -0.000339508056640625, -0.00009870529174804688, -0.000553131103515625, -0.0810546875, -3.296875, -0.031982421875, -0.001953125, -0.033447265625, -0.00146484375, -0.0037384033203125, -0.0091552734375, ...
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	84	2,688	2,720	32	[]	[]	[]	[]	-14.686813	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	85	2,720	2,752	32	[]	[]	[]	[]	-0.578466	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	86	2,752	2,784	32	[]	[]	[]	[]	-11.109622	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	87	2,784	2,816	32	[]	[]	[]	[]	-25.116909	null	[]	[]
true	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	88	2,816	2,848	32	[ [ 13708, 2450, 397, 785, 3931, 13666, 5099, 1331, 18380, 4766, 458, 5285, 4573, 11, 11689, 518, 279, 835, 315, 264, 1555, 1438, 1283, 330, 57, 5318, 593, 1, 323, 1101, 1573, 279, 41171...	[ "<thought>\nThe cut occurs mid-sentence inside an align environment, specifically at the end of a line break after \"Z_i))\" and just before the continuation of the inequality. The next 8 tokens will most likely be the continuation of the second inequality line, starting with the negated generalization bound and co...	[ 0 ]	[ false ]	-23.117264	[ -0.287109375, -0.17578125, -0.236328125, -0.734375, -0.03173828125, -0.17578125, -0.4140625, -0.33984375, -0.2578125, -0.0004520416259765625, -0.000156402587890625, -0.0009307861328125, -0.2080078125, -0.98046875, -0.06689453125, -0.00921630859375, -7.6875, -0.0038299560546875, -...	[ -22.107152938842773 ]	[ [ -0.55078125, -0.7734375, -0.1708984375, -0.546875, -0.0703125, -0.18359375, -0.5234375, -0.640625, -0.36328125, -0.00054168701171875, -0.00016498565673828125, -0.0008392333984375, -0.2578125, -0.484375, -0.10498046875, -0.005859375, -7.375, -...
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	89	2,848	2,880	32	[]	[]	[]	[]	-5.78286	null	[]	[]
true	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	90	2,880	2,912	32	[ [ 13708, 2450, 397, 785, 3931, 13666, 5099, 1331, 18380, 11, 5099, 62259, 367, 11, 323, 5099, 12, 27710, 11, 11689, 4766, 279, 2086, 31205, 315, 279, 5285, 2504, 11, 1290, 1283, 57960, ...	[ "<thought>\nThe cut occurs mid-sentence, mid-equation, and mid-phrase, specifically inside the second inequality of the align block, right after $\\frac{1}{n}$ and before the summation. Given the parallel structure with the previous line, the next token must be $\\sum_{i=1}^n$, followed by $\\psi_-^{\\star -1}(L(W;...	[ 0 ]	[ false ]	-17.25976	[ -1.8671875, -0.00003075599670410156, -0.357421875, -0.08544921875, -0.0546875, -0.076171875, -0.0625, -0.1884765625, -0.0016937255859375, -4.53125, -0.15625, -0.044677734375, -2.578125, -0.78125, -0.07568359375, -0.0264892578125, -0.001220703125, -0.002410888671875, -0.0310058593...	[ -21.542774200439453 ]	[ [ -4.28125, -0.00002396106719970703, -0.71875, -0.107421875, -0.04736328125, -0.041748046875, -0.064453125, -0.1982421875, -0.0010223388671875, -5.34375, -0.12109375, -0.0220947265625, -3.390625, -0.189453125, -0.05908203125, -0.01177978515625, -0....
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	91	2,912	2,944	32	[]	[]	[]	[]	-10.830401	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	92	2,944	2,976	32	[]	[]	[]	[]	-8.38629	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	93	2,976	3,008	32	[]	[]	[]	[]	-6.753483	null	[]	[]
true	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	94	3,008	3,040	32	[ [ 13708, 2450, 397, 785, 3931, 13666, 5099, 62259, 367, 11, 4766, 279, 2086, 1555, 315, 279, 5285, 2504, 11, 11689, 518, 279, 835, 315, 279, 7493, 57960, 30765, 39311, 61, 35702, 11870, ...	[ "<thought>\nThe cut occurs mid-equation, inside the second line of the align block, specifically at the end of the expression $\\psi_-^{\\star -1}(L(W;Z_i))$ but before the closing delimiters of the align environment. The next 8 tokens must include the closing parenthesis for $L(W;Z_i)$, the closing align line deli...	[ 0 ]	[ false ]	-27.299936	[ -0.005279541015625, -0.00014495849609375, -0.015869140625, -0.006439208984375, -0.0003376007080078125, -0.0000022649765014648438, -0.00008344650268554688, -0.00010967254638671875, -0.0003452301025390625, -0.000377655029296875, -0.00262451171875, -0.0014801025390625, -0.2392578125, -0.02160...	[ -27.078767776489258 ]	[ [ -0.0947265625, -0.00020885467529296875, -0.01434326171875, -0.0123291015625, -0.0009613037109375, -0.000009179115295410156, -0.000324249267578125, -0.0002727508544921875, -0.000682830810546875, -0.00160980224609375, -0.0157470703125, -0.00174713134765625, -0.369...
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	95	3,040	3,072	32	[]	[]	[]	[]	-5.18577	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	96	3,072	3,104	32	[]	[]	[]	[]	-14.402168	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	97	3,104	3,136	32	[]	[]	[]	[]	-6.313005	null	[]	[]
true	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	98	3,136	3,168	32	[ [ 13708, 2450, 397, 785, 3931, 13666, 5099, 1331, 18380, 11, 304, 279, 6149, 315, 264, 44377, 5785, 13, 576, 3681, 3409, 572, 330, 258, 1, 323, 279, 44377, 1376, 6009, 448, 2917, 67075...	[ "<thought>\nThe cut occurs mid-sentence, in the middle of a citation reference. The previous word was \"in\" and the citation key began with \"\\cite{bu2019tightening}\". The next few tokens will almost certainly complete the citation, likely with a closing brace and possibly another citation if the sentence contin...	[ 0 ]	[ false ]	-11.878238	[ -0.00016307830810546875, -3.53125, -0.00555419921875, -0.05078125, -0.01409912109375, -0.00396728515625, -1.1953125, -0.005584716796875, -0.00164794921875, -0.00994873046875, -0.478515625, -0.65625, -1.3515625, -0.00173187255859375, -0.1708984375, -0.78515625, -0.047607421875, -0.3...	[ -12.078957557678223 ]	[ [ -0.0002498626708984375, -4.875, -0.0028533935546875, -0.1171875, -0.0093994140625, -0.005767822265625, -0.1611328125, -0.0068359375, -0.0033721923828125, -0.005828857421875, -0.080078125, -1.6953125, -1.1953125, -0.0036468505859375, -0.15625, -0.7382...
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	99	3,168	3,200	32	[]	[]	[]	[]	-7.743074	null	[]	[]
true	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	100	3,200	3,232	32	[ [ 13708, 2450, 397, 785, 3931, 13666, 5099, 1331, 18380, 11, 304, 279, 6149, 315, 264, 44377, 5785, 25, 330, 1782, 1102, 25377, 304, 1124, 67075, 90, 70, 3263, 576, 1790, 2421, 11211, ...	[ "<thought>\nThe cut occurs mid-sentence, in the middle of a citation reference: \"the result appearing in \\cite{g\". The next few tokens will almost certainly continue the citation key, likely starting with the author name or an acronym that follows \"g\", as is standard in LaTeX citations. The most plausible next...	[ 0 ]	[ false ]	-20.752659	[ -0.43359375, -0.0025177001953125, -7.152557373046875e-7, -0.0005340576171875, -0.0001392364501953125, -0.00159454345703125, -0.0011749267578125, -0.00933837890625, -0.00122833251953125, -0.0010986328125, -0.005218505859375, -0.006103515625, -2.640625, -0.01556396484375, -0.0277099609375,...	[ -23.144023895263672 ]	[ [ -0.1328125, -0.002838134765625, -0.00000286102294921875, -0.000911712646484375, -0.00016117095947265625, -0.002410888671875, -0.00115203857421875, -0.00787353515625, -0.0012664794921875, -0.000789642333984375, -0.0032806396484375, -0.0037078857421875, -3.375, ...
true	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	101	3,232	3,264	32	[ [ 13708, 2450, 397, 785, 3931, 13666, 5099, 1331, 18380, 304, 279, 1590, 14311, 11, 448, 279, 1537, 3950, 1660, 279, 7130, 44377, 3210, 91405, 67075, 90, 70, 559, 1732, 17, 15, 16, 24,...	[ "<thought>\nThe cut occurs mid-sentence in the final paragraph, with the last token being the partial citation command `\\cite{gastpar2019Laut`. The next 8 tokens must complete the citation, likely by closing the brace and continuing the sentence. The most plausible next tokens are `})` to close the citation, follo...	[ 0 ]	[ false ]	-1.992129	[ -0.06591796875, -0.00244140625, -5.960464477539062e-7, -0.0004119873046875, -0.000370025634765625, -0.001373291015625, -0.0022125244140625, -0.0272216796875, -0.00115203857421875, -0.00072479248046875, -0.01239013671875, -0.01080322265625, -0.33984375, -0.00885009765625, -0.00732421875, ...	[ -2.701155424118042 ]	[ [ -0.1650390625, -0.004150390625, -9.5367431640625e-7, -0.000598907470703125, -0.000225067138671875, -0.0019683837890625, -0.00171661376953125, -0.134765625, -0.00102996826171875, -0.00064849853515625, -0.010009765625, -0.006988525390625, -1.078125, -0.0014038...
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	102	3,264	3,296	32	[]	[]	[]	[]	-17.237259	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	103	3,296	3,328	32	[]	[]	[]	[]	-19.051577	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	104	3,328	3,360	32	[]	[]	[]	[]	-2.695507	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	105	3,360	3,392	32	[]	[]	[]	[]	-16.788158	null	[]	[]
true	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	106	3,392	3,424	32	[ [ 13708, 2450, 397, 785, 3931, 13666, 5099, 1331, 18380, 4766, 279, 17133, 330, 6005, 965, 658, 11035, 1502, 90, 6005, 965, 1, 1959, 279, 3409, 330, 6005, 965, 658, 1, 374, 4363, 949, ...	[ "<thought>\nThe cut occurs mid-sentence inside the phrase \"corollary}\\label{coroll\" — the word \"corollary\" is likely part of a LaTeX label for a new theorem-like environment. The next 8 tokens must therefore complete the \\label command and begin the corollary statement, likely with the structure: \"corollary}...	[ 0 ]	[ false ]	-17.101997	[ -0.1611328125, -0.087890625, -0.404296875, -0.3671875, -0.00836181640625, -0.00689697265625, -0.01214599609375, -0.00113677978515625, -0.00848388671875, -0.00011301040649414062, -1.8203125, -0.41015625, -0.10498046875, -0.04833984375, -0.021728515625, -0.000016689300537109375, -0.002...	[ -16.883075714111328 ]	[ [ -0.12353515625, -0.052734375, -0.4453125, -0.1865234375, -0.006103515625, -0.005645751953125, -0.0091552734375, -0.0016937255859375, -0.005706787109375, -0.00013065338134765625, -2.15625, -0.2734375, -0.07421875, -0.0478515625, -0.0128173828125, -0.0...
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	107	3,424	3,456	32	[]	[]	[]	[]	-29.269621	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	108	3,456	3,488	32	[]	[]	[]	[]	-12.490581	null	[]	[]
true	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	109	3,488	3,520	32	[ [ 13708, 2450, 397, 785, 3931, 13666, 5099, 1331, 18380, 518, 279, 835, 315, 1036, 285, 57960, 24912, 3, 854, 1959, 4363, 949, 315, 264, 2971, 476, 24335, 911, 279, 4709, 729, 13, 576,...	[ "<thought>\nThe cut occurs mid-sentence at the end of “is $\\sigma$” — likely part of a condition or assumption about the loss function. The next token is almost certainly the continuation of this phrase, specifically “-subgaussian,” as this term was previously defined in the paper. The next few tokens will likely ...	[ 0 ]	[ false ]	-12.889795	[ -0.000881195068359375, -0.00186920166015625, -0.000492095947265625, -0.032470703125, -4.21875, -3.03125, -0.031494140625, -0.009765625, -0.30078125, -0.07861328125, -0.00762939453125, -0.69921875, -0.000865936279296875, -0.00579833984375, -0.43359375, -0.044189453125, -0.013061523437...	[ -12.6734619140625 ]	[ [ -0.0025177001953125, -0.0019683837890625, -0.000804901123046875, -0.0693359375, -4.53125, -2.390625, -0.0439453125, -0.01458740234375, -0.353515625, -0.10888671875, -0.00750732421875, -0.8359375, -0.00201416015625, -0.00872802734375, -0.478515625, -0...
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	110	3,520	3,552	32	[]	[]	[]	[]	-6.09149	null	[]	[]
false	012b63ef-4be1-42a8-a33a-6fdc5e6fb62d	111	3,552	3,584	32	[]	[]	[]	[]	-10.36174	null	[]	[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

12

384

416

32

[]

-39.487976

null

[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

13

416

448

32

[]

-41.967972

null

[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

14

448

480

32

[]

-17.47308

null

[]

true

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

15

480

512

32

[ [ 13708, 2450, 397, 785, 3931, 13666, 5099, 89050, 4766, 264, 86810, 11, 11689, 304, 279, 17133, 1036, 333, 400, 36, 23013, 61, 35702, 12935, 854, 1959, 279, 58755, 4445, 2971, 369, 264, ...

[ "<thought>\nThe cut occurs mid-definition inside a footnote, specifically in the phrase “if $E[e^{\\lambda” — the exponential moment condition for a subgaussian random variable. The next tokens must complete the exponential expression, most likely as “(X - E[X])] \\leq e^{\\lambda^2 \\sigma^2 / 2}$” or a similar st...

[ 0 ]

[ false ]

-24.966846

[ -0.34375, -8.5, -1.1796875, -0.345703125, -0.484375, -0.0224609375, -0.89453125, -2.546875, -0.07861328125, -0.333984375, -8.9375, -0.375, -0.349609375, -0.000720977783203125, -0.001922607421875, -0.0029449462890625, -0.000286102294921875, -0.00982666015625, -0.000181198120117187...

[ -26.553077697753906 ]

[ [ -0.2392578125, -8.1875, -1.546875, -0.5078125, -0.5, -0.0294189453125, -1.078125, -1.9453125, -0.11376953125, -0.431640625, -9.1875, -0.9140625, -0.99609375, -0.0031280517578125, -0.0230712890625, -0.01556396484375, -0.000965118408203125, -0....

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

16

512

544

32

[]

-10.08703

null

[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

17

544

576

32

[]

-28.833366

null

[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

18

576

608

32

[]

-10.678263

null

[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

19

608

640

32

[]

-39.038635

null

[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

20

640

672

32

[]

-0.534805

null

[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

21

672

704

32

[]

-6.36882

null

[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

22

704

736

32

[]

-0.098303

null

[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

23

736

768

32

[]

-39.51585

null

[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

24

768

800

32

[]

-48.660767

null

[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

25

800

832

32

[]

-69.088333

null

[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

26

832

864

32

[]

-53.789463

null

[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

27

864

896

32

[]

-24.21146

null

[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

28

896

928

32

[]

-30.988022

null

[]

true

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

29

928

960

32

[ [ 13708, 2450, 397, 785, 3931, 13666, 5099, 1331, 18380, 304, 279, 6149, 315, 458, 31205, 11, 11689, 518, 279, 835, 315, 279, 19419, 57960, 37018, 90, 17, 15170, 12947, 576, 1790, 3950, ...

[ "<thought>\nThe cut occurs mid-sentence in the middle of an inequality, specifically at the end of the fraction $\\frac{2}{$. The next token must be the numerator or the continuation of the fraction’s expression. Given the context of a generalization bound in statistical learning theory, the numerator is likely a f...

[ 0 ]

[ false ]

-23.742229

[ -0.00001800060272216797, -0.0478515625, -0.66015625, -0.0048828125, -0.00089263916015625, -0.1953125, -0.0223388671875, -3.234375, -5.34375, -1.1484375, -3.96875, -0.0986328125, -0.019775390625, -6.59375, -0.58203125, -0.9609375, -0.7734375, -0.037353515625, -0.00081634521484375,...

[ -24.804527282714844 ]

[ [ -0.00015544891357421875, -0.050537109375, -0.546875, -0.0069580078125, -0.000827789306640625, -0.11767578125, -0.02734375, -3.4375, -5.53125, -0.8671875, -4.28125, -0.06298828125, -0.01397705078125, -7.15625, -0.5390625, -1.2109375, -0.8984375, ...

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

30

960

992

32

[]

-17.953783

null

[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

31

992

1,024

32

[]

-42.306419

null

[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

32

1,024

1,056

32

[]

-40.406189

null

[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

33

1,056

1,088

32

[]

-50.938995

null

[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

34

1,088

1,120

32

[]

-68.948936

null

[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

35

1,120

1,152

32

[]

-48.897945

null

[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

36

1,152

1,184

32

[]

-31.832253

null

[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

37

1,184

1,216

32

[]

-28.030588

null

[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

38

1,216

1,248

32

[]

-24.457382

null

[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

39

1,248

1,280

32

[]

-42.773079

null

[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

40

1,280

1,312

32

[]

-17.15844

null

[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

41

1,312

1,344

32

[]

-56.795326

null

[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

42

1,344

1,376

32

[]

-91.692673

null

[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

43

1,376

1,408

32

[]

-11.806931

null

[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

44

1,408

1,440

32

[]

-11.565239

null

[]

false

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[ "<thought>\nThe cut occurs mid-sentence, in the middle of defining $\\widehat{P}_{W,Z_i}$. The current clause is \"Let us choose $\\widehat{P}_{W,Z_i} = P_W\\otimes\\mu$ for $i=1$\", and the next token must be the continuation of the clause, most likely the next index in the enumeration, which is \"i=1$ to $n$\". T...

[ 0 ]

[ false ]

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[ -57.1187629699707 ]

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false

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false

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[]

false

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[ [ 13708, 2450, 397, 785, 1467, 374, 5099, 1331, 18380, 4766, 458, 13383, 4573, 11, 3432, 1101, 5326, 330, 2132, 1083, 11017, 7069, 504, 576, 13173, 1124, 1097, 90, 785, 13173, 25, 3251, ...

[ "<thought>\nThe text is mid-sentence inside an Example environment, having just written \"It also follows immediately from Theorem \\ref{Theorem: General Upper Bounds} that:\" and is about to present a new inequality or bound. The previous example used mutual information $I(W; Z_i)$ as an argument in the bounds, an...

[ 0 ]

[ false ]

-39.408501

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[ -40.741477966308594 ]

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false

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[]

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false

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[]

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[]

false

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[]

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[]

false

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[]

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[]

false

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[]

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[ "<thought>\nThe cut occurs mid-sentence in the middle of an inequality within an align environment. The last visible token is $\\frac{1}{n}$, and the next few tokens will almost certainly continue the expression, likely with summation notation or a function involving $i=1,\\cdots,n$, mirroring the structure of the ...

[ 0 ]

[ false ]

-8.076443

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[ -9.181626319885254 ]

[ [ -0.2001953125, -0.2216796875, -0.3125, -0.166015625, -0.000339508056640625, -0.00009870529174804688, -0.000553131103515625, -0.0810546875, -3.296875, -0.031982421875, -0.001953125, -0.033447265625, -0.00146484375, -0.0037384033203125, -0.0091552734375, ...

false

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[]

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[]

false

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[]

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null

[]

false

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[]

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null

[]

false

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[]

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true

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[ "<thought>\nThe cut occurs mid-sentence inside an align environment, specifically at the end of a line break after \"Z_i))\" and just before the continuation of the inequality. The next 8 tokens will most likely be the continuation of the second inequality line, starting with the negated generalization bound and co...

[ 0 ]

[ false ]

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[ -22.107152938842773 ]

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false

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[]

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[]

true

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[ [ 13708, 2450, 397, 785, 3931, 13666, 5099, 1331, 18380, 11, 5099, 62259, 367, 11, 323, 5099, 12, 27710, 11, 11689, 4766, 279, 2086, 31205, 315, 279, 5285, 2504, 11, 1290, 1283, 57960, ...

[ "<thought>\nThe cut occurs mid-sentence, mid-equation, and mid-phrase, specifically inside the second inequality of the align block, right after $\\frac{1}{n}$ and before the summation. Given the parallel structure with the previous line, the next token must be $\\sum_{i=1}^n$, followed by $\\psi_-^{\\star -1}(L(W;...

[ 0 ]

[ false ]

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[ -21.542774200439453 ]

[ [ -4.28125, -0.00002396106719970703, -0.71875, -0.107421875, -0.04736328125, -0.041748046875, -0.064453125, -0.1982421875, -0.0010223388671875, -5.34375, -0.12109375, -0.0220947265625, -3.390625, -0.189453125, -0.05908203125, -0.01177978515625, -0....

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

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2,912

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[]

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null

[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

92

2,944

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[]

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null

[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

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[]

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null

[]

true

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

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[ "<thought>\nThe cut occurs mid-equation, inside the second line of the align block, specifically at the end of the expression $\\psi_-^{\\star -1}(L(W;Z_i))$ but before the closing delimiters of the align environment. The next 8 tokens must include the closing parenthesis for $L(W;Z_i)$, the closing align line deli...

[ 0 ]

[ false ]

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[ -27.078767776489258 ]

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false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

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[]

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null

[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

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[]

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null

[]

false

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[]

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null

[]

true

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[ [ 13708, 2450, 397, 785, 3931, 13666, 5099, 1331, 18380, 11, 304, 279, 6149, 315, 264, 44377, 5785, 13, 576, 3681, 3409, 572, 330, 258, 1, 323, 279, 44377, 1376, 6009, 448, 2917, 67075...

[ "<thought>\nThe cut occurs mid-sentence, in the middle of a citation reference. The previous word was \"in\" and the citation key began with \"\\cite{bu2019tightening}\". The next few tokens will almost certainly complete the citation, likely with a closing brace and possibly another citation if the sentence contin...

[ 0 ]

[ false ]

-11.878238

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[ -12.078957557678223 ]

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false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

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[]

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null

[]

true

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3,200

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[ [ 13708, 2450, 397, 785, 3931, 13666, 5099, 1331, 18380, 11, 304, 279, 6149, 315, 264, 44377, 5785, 25, 330, 1782, 1102, 25377, 304, 1124, 67075, 90, 70, 3263, 576, 1790, 2421, 11211, ...

[ "<thought>\nThe cut occurs mid-sentence, in the middle of a citation reference: \"the result appearing in \\cite{g\". The next few tokens will almost certainly continue the citation key, likely starting with the author name or an acronym that follows \"g\", as is standard in LaTeX citations. The most plausible next...

[ 0 ]

[ false ]

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[ -23.144023895263672 ]

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true

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

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[ [ 13708, 2450, 397, 785, 3931, 13666, 5099, 1331, 18380, 304, 279, 1590, 14311, 11, 448, 279, 1537, 3950, 1660, 279, 7130, 44377, 3210, 91405, 67075, 90, 70, 559, 1732, 17, 15, 16, 24,...

[ "<thought>\nThe cut occurs mid-sentence in the final paragraph, with the last token being the partial citation command `\\cite{gastpar2019Laut`. The next 8 tokens must complete the citation, likely by closing the brace and continuing the sentence. The most plausible next tokens are `})` to close the citation, follo...

[ 0 ]

[ false ]

-1.992129

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[ -2.701155424118042 ]

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false

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[]

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[]

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null

[]

false

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3,328

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[]

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null

[]

false

012b63ef-4be1-42a8-a33a-6fdc5e6fb62d

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3,360

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[]

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[ "<thought>\nThe cut occurs mid-sentence inside the phrase \"corollary}\\label{coroll\" — the word \"corollary\" is likely part of a LaTeX label for a new theorem-like environment. The next 8 tokens must therefore complete the \\label command and begin the corollary statement, likely with the structure: \"corollary}...

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[ "<thought>\nThe cut occurs mid-sentence at the end of “is $\\sigma$” — likely part of a condition or assumption about the loss function. The next token is almost certainly the continuation of this phrase, specifically “-subgaussian,” as this term was previously defined in the paper. The next few tokens will likely ...

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