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authorYuren Hao <yurenh2@illinois.edu>2026-04-08 22:06:05 -0500
committerYuren Hao <yurenh2@illinois.edu>2026-04-08 22:06:05 -0500
commit05704d0eb2fa59fe727652465b07db40bcb06c38 (patch)
tree8904aca836cf552fd1a5ae8c2174e9f91e70bbbc /CITATION.cff
Initial release: GAP framework
- Full pipeline: variant generation, multi-judge verification, evaluation - Loaders for OpenAI / Anthropic / Google / xAI / OpenRouter / vLLM - Framework-level mechanism analyses: paired structural overlap, repairability rescue, self-correction probe, cross-model agreement, topic x problem-type interaction - Unicode -> bare-LaTeX cleaner + audit + spot-check - Mirrors https://huggingface.co/datasets/blackhao0426/PutnamGAP
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+message: |
+ If you use the GAP framework or the PutnamGAP dataset, you MUST cite both
+ this work and the four MAA Putnam source books listed in the README under
+ "Citation".
+title: "GAP — Generalization-and-Perturbation Framework for LLM Mathematical Reasoning Robustness"
+authors:
+ - family-names: Hao
+ given-names: Yuren
+ - family-names: Wan
+ given-names: Xiang
+ - family-names: Zhai
+ given-names: ChengXiang
+year: 2025
+url: "https://github.com/YurenHao0426/GAP"
+repository-code: "https://github.com/YurenHao0426/GAP"
+license: CC-BY-4.0
+preferred-citation:
+ type: article
+ title: |
+ An Investigation of Robustness of LLMs in Mathematical Reasoning:
+ Benchmarking with Mathematically-Equivalent Transformation of Advanced
+ Mathematical Problems
+ authors:
+ - family-names: Hao
+ given-names: Yuren
+ - family-names: Wan
+ given-names: Xiang
+ - family-names: Zhai
+ given-names: ChengXiang
+ year: 2025
+ journal: "arXiv preprint arXiv:2508.08833"
+ url: "https://arxiv.org/abs/2508.08833"
+references:
+ - type: book
+ title: "The William Lowell Putnam Mathematical Competition: Problems and Solutions 1938-1964"
+ authors:
+ - family-names: Gleason
+ given-names: A. M.
+ - family-names: Greenwood
+ given-names: R. E.
+ - family-names: Kelly
+ given-names: L. M.
+ year: 1980
+ publisher:
+ name: Mathematical Association of America
+ notes: "MAA Problem Books, vol. 1; reprinted by AMS/MAA Press"
+ - type: book
+ title: "The William Lowell Putnam Mathematical Competition: Problems and Solutions 1965-1984"
+ authors:
+ - family-names: Alexanderson
+ given-names: Gerald L.
+ - family-names: Klosinski
+ given-names: Leonard F.
+ - family-names: Larson
+ given-names: Loren C.
+ year: 1985
+ publisher:
+ name: Mathematical Association of America
+ notes: "MAA Problem Books, vol. 30"
+ - type: book
+ title: "The William Lowell Putnam Mathematical Competition 1985-2000: Problems, Solutions and Commentary"
+ authors:
+ - family-names: Kedlaya
+ given-names: Kiran S.
+ - family-names: Poonen
+ given-names: Bjorn
+ - family-names: Vakil
+ given-names: Ravi
+ year: 2002
+ publisher:
+ name: Mathematical Association of America
+ notes: "MAA Problem Books, vol. 33"
+ - type: book
+ title: "The William Lowell Putnam Mathematical Competition 2001-2016: Problems, Solutions and Commentary"
+ authors:
+ - family-names: Kedlaya
+ given-names: Kiran S.
+ - family-names: Kane
+ given-names: Daniel M.
+ - family-names: Kane
+ given-names: Jonathan M.
+ - family-names: O'Dorney
+ given-names: Evan M.
+ year: 2020
+ publisher:
+ name: American Mathematical Society (MAA Press)
+ notes: "MAA Problem Books, vol. 37"