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"_comment": [
"Attribution for the third-party material the benchmark data is derived from.",
"`papers`: JMLR. Every record was read from the published PDF's page-1 footer. Volume 18 (2017) onward is CC-BY 4.0; earlier volumes state no public licence, and those 4 papers' text is rewritten in our own words.",
"`iclr`: ICLR papers on OpenReview under CC-BY 4.0. Each `key` is the OpenReview forum id and the item id in backward-verification.jsonl; the forum page carries the title, authors and licence.",
"`lecture_sources`: lecture notes and textbooks, each publicly available or used with the permission of its authors.",
"Our own contributions (Lean statements and proofs, labels, annotations, text we wrote) are CC BY 4.0, see Benchmarks/LICENSE."
],
"papers": [
{
"key": "v26-21-0039",
"used_by": [
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],
"title": "Manifold Fitting under Unbounded Noise",
"authors": "Zhigang Yao, Yuqing Xia",
"journal": "Journal of Machine Learning Research",
"volume": "26",
"issue": "45",
"pages": "1-55",
"year": "2025",
"url": "https://jmlr.org/papers/v26/21-0039.html",
"pdf_url": "https://jmlr.org/papers/volume26/21-0039/21-0039.pdf",
"modifications": [
"excerpt only: selected line spans of text converted from the published PDF by an OCR pipeline (MinerU), with the OCR's LaTeX spacing tightened; running headers and footers, including the copyright and licence lines, were dropped"
],
"copyright_notice": "©2025 Zhigang Yao and Yuqing Xia.",
"license": "CC-BY-4.0",
"license_evidence": "CC-BY 4.0 line printed in the page-1 footer of the published PDF"
},
{
"key": "v26-22-1262",
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"title": "Unbalanced Kantorovich-Rubinstein distance, plan, and barycenter on finite spaces: A statistical perspective",
"authors": "Shayan Hundrieser, Florian Heinemann, Marcel Klatt, Marina Struleva, Axel Munk",
"journal": "Journal of Machine Learning Research",
"volume": "26",
"issue": "37",
"pages": "1-70",
"year": "2025",
"url": "https://jmlr.org/papers/v26/22-1262.html",
"pdf_url": "https://jmlr.org/papers/volume26/22-1262/22-1262.pdf",
"modifications": [
"excerpt only: selected line spans of text converted from the published PDF by an OCR pipeline (MinerU), with the OCR's LaTeX spacing tightened; running headers and footers, including the copyright and licence lines, were dropped",
"3 correction(s) applied to the text as printed, 3 of them to typographical errors in the published paper rather than to OCR damage"
],
"copyright_notice": "©2025 Shayan Hundrieser, Florian Heinemann, Marcel Klatt, Marina Struleva, Axel Munk.",
"license": "CC-BY-4.0",
"license_evidence": "CC-BY 4.0 line printed in the page-1 footer of the published PDF"
},
{
"key": "v26-23-0102",
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"title": "On Model Identification and Out-of-Sample Prediction of PCR with Applications to Synthetic Controls",
"authors": "Anish Agarwal, Devavrat Shah, Dennis Shen",
"journal": "Journal of Machine Learning Research",
"volume": "26",
"issue": "117",
"pages": "1-58",
"year": "2025",
"url": "https://jmlr.org/papers/v26/23-0102.html",
"pdf_url": "https://jmlr.org/papers/volume26/23-0102/23-0102.pdf",
"modifications": [
"excerpt only: selected line spans of text converted from the published PDF by an OCR pipeline (MinerU), with the OCR's LaTeX spacing tightened; running headers and footers, including the copyright and licence lines, were dropped",
"1 correction(s) applied to the text as printed, 1 of them to typographical errors in the published paper rather than to OCR damage"
],
"copyright_notice": "©2025 Anish Agarwal, Devavrat Shah, and Dennis Shen.",
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{
"key": "v26-23-0455",
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"title": "Biological Sequence Kernels with Guaranteed Flexibility",
"authors": "Alan N. Amin, Debora S. Marks, Eli N. Weinstein",
"journal": "Journal of Machine Learning Research",
"volume": "26",
"issue": "216",
"pages": "1-63",
"year": "2025",
"url": "https://jmlr.org/papers/v26/23-0455.html",
"pdf_url": "https://jmlr.org/papers/volume26/23-0455/23-0455.pdf",
"modifications": [
"excerpt only: selected line spans of text converted from the published PDF by an OCR pipeline (MinerU), with the OCR's LaTeX spacing tightened; running headers and footers, including the copyright and licence lines, were dropped",
"5 correction(s) applied to the text as printed, 5 of them to typographical errors in the published paper rather than to OCR damage"
],
"copyright_notice": "©2025 Alan N. Amin and Debora S. Marks and Eli N. Weinstein.",
"license": "CC-BY-4.0",
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{
"key": "v26-23-0832",
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"title": "Random Pruning Over-parameterized Neural Networks Can Improve Generalization: A Training Dynamics Analysis",
"authors": "Hongru Yang, Yingbin Liang, Xiaojie Guo, Lingfei Wu, Zhangyang Wang",
"journal": "Journal of Machine Learning Research",
"volume": "26",
"issue": "84",
"pages": "1-51",
"year": "2025",
"url": "https://jmlr.org/papers/v26/23-0832.html",
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"text the OCR garbled was rebuilt by comparison with the published PDF",
"2 correction(s) applied to the text as printed, 2 of them to typographical errors in the published paper rather than to OCR damage"
],
"copyright_notice": "©2025 Hongru Yang, Yingbin Liang, Xiaojie Guo, Lingfei Wu and Zhangyang Wang.",
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{
"key": "v26-23-1104",
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"title": "Near-Optimal Nonconvex-Strongly-Convex Bilevel Optimization with Fully First-Order Oracles",
"authors": "Lesi Chen, Yaohua Ma, Jingzhao Zhang",
"journal": "Journal of Machine Learning Research",
"volume": "26",
"issue": "109",
"pages": "1-56",
"year": "2025",
"url": "https://jmlr.org/papers/v26/23-1104.html",
"pdf_url": "https://jmlr.org/papers/volume26/23-1104/23-1104.pdf",
"modifications": [
"excerpt only: selected line spans of text converted from the published PDF by an OCR pipeline (MinerU), with the OCR's LaTeX spacing tightened; running headers and footers, including the copyright and licence lines, were dropped",
"text the OCR garbled was rebuilt by comparison with the published PDF",
"4 correction(s) applied to the text as printed, 4 of them to typographical errors in the published paper rather than to OCR damage"
],
"copyright_notice": "©2025 Lesi Chen, Yaohua Ma and Jingzhao Zhang.",
"license": "CC-BY-4.0",
"license_evidence": "CC-BY 4.0 line printed in the page-1 footer of the published PDF"
},
{
"key": "v26-23-1519",
"used_by": [
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"title": "Bagged Regularized k-Distances for Anomaly Detection",
"authors": "Yuchao Cai, Hanfang Yang, Yuheng Ma, Hanyuan Hang",
"journal": "Journal of Machine Learning Research",
"volume": "26",
"issue": "178",
"pages": "1-59",
"year": "2025",
"url": "https://jmlr.org/papers/v26/23-1519.html",
"pdf_url": "https://jmlr.org/papers/volume26/23-1519/23-1519.pdf",
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"text the OCR garbled was rebuilt by comparison with the published PDF",
"1 correction(s) applied to the text as printed, 1 of them to typographical errors in the published paper rather than to OCR damage"
],
"copyright_notice": "©2025 Yuchao Cai, Hanfang Yang, Yuheng Ma, Hanyuan Hang.",
"license": "CC-BY-4.0",
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{
"key": "v26-23-1679",
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"title": "Optimal Rates of Kernel Ridge Regression under Source Condition in Large Dimensions",
"authors": "Haobo Zhang, Yicheng Li, Weihao Lu, Qian Lin",
"journal": "Journal of Machine Learning Research",
"volume": "26",
"issue": "219",
"pages": "1-63",
"year": "2025",
"url": "https://jmlr.org/papers/v26/23-1679.html",
"pdf_url": "https://jmlr.org/papers/volume26/23-1679/23-1679.pdf",
"modifications": [
"excerpt only: selected line spans of text converted from the published PDF by an OCR pipeline (MinerU), with the OCR's LaTeX spacing tightened; running headers and footers, including the copyright and licence lines, were dropped",
"4 correction(s) applied to the text as printed, 4 of them to typographical errors in the published paper rather than to OCR damage"
],
"copyright_notice": "©2025 Haobo Zhang, Yicheng Li, Weihao Lu and Qian Lin.",
"license": "CC-BY-4.0",
"license_evidence": "CC-BY 4.0 line printed in the page-1 footer of the published PDF"
},
{
"key": "v26-24-0194",
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"title": "Score-based Causal Representation Learning: Linear and General Transformations",
"authors": "Burak Varici, Emre Acartürk, Karthikeyan Shanmugam, Abhishek Kumar, Ali Tajer",
"journal": "Journal of Machine Learning Research",
"volume": "26",
"issue": "112",
"pages": "1-90",
"year": "2025",
"url": "https://jmlr.org/papers/v26/24-0194.html",
"pdf_url": "https://jmlr.org/papers/volume26/24-0194/24-0194.pdf",
"modifications": [
"excerpt only: selected line spans of text converted from the published PDF by an OCR pipeline (MinerU), with the OCR's LaTeX spacing tightened; running headers and footers, including the copyright and licence lines, were dropped",
"text the OCR garbled was rebuilt by comparison with the published PDF",
"1 correction(s) applied to the text as printed, 1 of them to typographical errors in the published paper rather than to OCR damage"
],
"copyright_notice": "©2025 Burak Varıcı, Emre Acartürk, Karthikeyan Shanmugam, Abhishek Kumar, and Ali Tajer.",
"license": "CC-BY-4.0",
"license_evidence": "CC-BY 4.0 line printed in the page-1 footer of the published PDF"
},
{
"key": "v26-24-0579",
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"title": "The Blessing of Heterogeneity in Federated Q-Learning: Linear Speedup and Beyond",
"authors": "Jiin Woo, Gauri Joshi, Yuejie Chi",
"journal": "Journal of Machine Learning Research",
"volume": "26",
"issue": "26",
"pages": "1-85",
"year": "2025",
"url": "https://jmlr.org/papers/v26/24-0579.html",
"pdf_url": "https://jmlr.org/papers/volume26/24-0579/24-0579.pdf",
"modifications": [
"excerpt only: selected line spans of text converted from the published PDF by an OCR pipeline (MinerU), with the OCR's LaTeX spacing tightened; running headers and footers, including the copyright and licence lines, were dropped"
],
"copyright_notice": "©2025 Jiin Woo, Gauri Joshi, Yuejie Chi.",
"license": "CC-BY-4.0",
"license_evidence": "CC-BY 4.0 line printed in the page-1 footer of the published PDF"
},
{
"key": "v26-24-1178",
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"title": "Enhanced Feature Learning via Regularisation: Integrating Neural Networks and Kernel Methods",
"authors": "Bertille FOLLAIN, Francis BACH",
"journal": "Journal of Machine Learning Research",
"volume": "26",
"issue": "172",
"pages": "1-56",
"year": "2025",
"url": "https://jmlr.org/papers/v26/24-1178.html",
"pdf_url": "https://jmlr.org/papers/volume26/24-1178/24-1178.pdf",
"modifications": [
"excerpt only: selected line spans of text converted from the published PDF by an OCR pipeline (MinerU), with the OCR's LaTeX spacing tightened; running headers and footers, including the copyright and licence lines, were dropped"
],
"copyright_notice": "©2025 Bertille FOLLAIN and Francis BACH.",
"license": "CC-BY-4.0",
"license_evidence": "CC-BY 4.0 line printed in the page-1 footer of the published PDF"
},
{
"key": "v26-24-2016",
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"title": "Minimax Optimal Two-Sample Testing under Local Differential Privacy",
"authors": "Jongmin Mun, Seungwoo Kwak, Ilmun Kim",
"journal": "Journal of Machine Learning Research",
"volume": "26",
"issue": "252",
"pages": "1-79",
"year": "2025",
"url": "https://jmlr.org/papers/v26/24-2016.html",
"pdf_url": "https://jmlr.org/papers/volume26/24-2016/24-2016.pdf",
"modifications": [
"excerpt only: selected line spans of text converted from the published PDF by an OCR pipeline (MinerU), with the OCR's LaTeX spacing tightened; running headers and footers, including the copyright and licence lines, were dropped",
"text the OCR garbled was rebuilt by comparison with the published PDF",
"5 correction(s) applied to the text as printed, 4 of them to typographical errors in the published paper rather than to OCR damage, and 1 removing a clause that defines a symbol no longer used once those corrections are applied"
],
"copyright_notice": "©2025 Jongmin Mun, Seungwoo Kwak and Ilmun Kim.",
"license": "CC-BY-4.0",
"license_evidence": "CC-BY 4.0 line printed in the page-1 footer of the published PDF"
},
{
"key": "v26-24-2230",
"used_by": [
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],
"title": "Frontiers to the learning of nonparametric hidden Markov models",
"authors": "Kweku Abraham, Elisabeth Gassiat, Zacharie Naulet",
"journal": "Journal of Machine Learning Research",
"volume": "26",
"issue": "155",
"pages": "1-75",
"year": "2025",
"url": "https://jmlr.org/papers/v26/24-2230.html",
"pdf_url": "https://jmlr.org/papers/volume26/24-2230/24-2230.pdf",
"modifications": [
"excerpt only: selected line spans of text converted from the published PDF by an OCR pipeline (MinerU), with the OCR's LaTeX spacing tightened; running headers and footers, including the copyright and licence lines, were dropped",
"1 correction(s) applied to the text as printed, 1 of them to typographical errors in the published paper rather than to OCR damage"
],
"copyright_notice": "©2025 Kweku Abraham, Elisabeth Gassiat and Zacharie Naulet.",
"license": "CC-BY-4.0",
"license_evidence": "CC-BY 4.0 line printed in the page-1 footer of the published PDF"
},
{
"key": "v26-25-0183",
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"title": "Estimation of Local Geometric Structure on Manifolds from Noisy Data",
"authors": "Yariv Aizenbud, Barak Sober",
"journal": "Journal of Machine Learning Research",
"volume": "26",
"issue": "64",
"pages": "1-89",
"year": "2025",
"url": "https://jmlr.org/papers/v26/25-0183.html",
"pdf_url": "https://jmlr.org/papers/volume26/25-0183/25-0183.pdf",
"modifications": [
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"text the OCR garbled was rebuilt by comparison with the published PDF",
"2 correction(s) applied to the text as printed, 2 of them to typographical errors in the published paper rather than to OCR damage"
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"copyright_notice": "©2025 Yariv Aizenbud and Barak Sober.",
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{
"key": "v26-25-0657",
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"title": "Second-order Information Promotes Mini-Batch Robustness in Variance-Reduced Gradients",
"authors": "Sachin Garg, Albert S. Berahas, Michał Dereziński",
"journal": "Journal of Machine Learning Research",
"volume": "26",
"issue": "306",
"pages": "1-49",
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