Fetching the paper…
Reading the bibliography…
Large Language Models (LLMs) have been successful in mathematical reasoning tasks such as formal theorem proving when integrated with interactive proof assistants like Lean.
Curriculum learning
Yoshua Bengio, Jérôme Louradour, Ronan Collobert, and Jason Weston · 2009
Earlier work this paper cites.
Premise Selection for Mathematics by Corpus Analysis and Kernel Methods
Jesse Alama, Tom Heskes, Daniel Kühlwein, Evgeni Tsivtsivadze, and Josef Urban · 2014
Earlier work this paper cites.
The Lean Theorem Prover (System Description)
Leonardo De Moura, Soonho Kong, Jeremy Avigad, Floris Van Doorn, and Jakob Von Raumer · 2015
Earlier work this paper cites.
Learning to Execute, February 2015
Wojciech Zaremba and Ilya Sutskever · 2015
Earlier work this paper cites.
Visualizing and Understanding Curriculum Learning for Long Short-Term Memory Networks, November 2016
Volkan Cirik, Eduard Hovy, and Louis-Philippe Morency · 2016
Earlier work this paper cites.
DeepMath - Deep Sequence Models for Premise Selection
Geoffrey Irving, Christian Szegedy, Alexander A Alemi, Niklas Een, Francois Chollet, and Josef Urban · 2016
Earlier work this paper cites.
Overcoming catastrophic forgetting in neural networks
James Kirkpatrick, Razvan Pascanu, Neil Rabinowitz, Joel Veness, Guillaume Desjardins, Andrei A. Rusu, Kieran Milan, John Quan, Tiago Ramalho, Agnieszka Grabska-Barwinska, Demis Hassabis, Claudia Clopath, Dharshan Kumaran, and Raia Hadsell · 2017
Earlier work this paper cites.
Learning without Forgetting, February 2017
Zhizhong Li and Derek Hoiem · 2017
Earlier work this paper cites.
Gradient Episodic Memory for Continual Learning
David Lopez-Paz and Marc’ Aurelio Ranzato · 2017
Earlier work this paper cites.
Decoupled Weight Decay Regularization
I. Loshchilov and F. Hutter · 2017
Earlier work this paper cites.
Continual Learning with Deep Generative Replay, December 2017
Hanul Shin, Jung Kwon Lee, Jaehong Kim, and Jiwon Kim · 2017
Earlier work this paper cites.
Adversarial Generation of Natural Language
Sandeep Subramanian, Sai Rajeswar, Francis Dutil, Chris Pal, and Aaron Courville · 2017
Earlier work this paper cites.
Attention is All you Need
Ashish Vaswani, Noam Shazeer, Niki Parmar, Jakob Uszkoreit, Llion Jones, Aidan N Gomez, Ł ukasz Kaiser, and Illia Polosukhin · 2017
Earlier work this paper cites.
Don’t forget, there is more than forgetting: New metrics for Continual Learning, October 2018
Natalia Díaz-Rodríguez, Vincenzo Lomonaco, David Filliat, and Davide Maltoni · 2018
Earlier work this paper cites.
Efficient Lifelong Learning with A-GEM, January 2019
Arslan Chaudhry, Marc’Aurelio Ranzato, Marcus Rohrbach, and Mohamed Elhoseiny · 2019
Earlier work this paper cites.
The Future of Mathematics? Professor Kevin Buzzard - 30 May 2019, June 2019
Kevin Buzzard · 2019
Earlier work this paper cites.
Curriculum Learning and Theorem Proving
Zsolt Zombori, Adrian Csiszarik, Henryk Michalewski, Cezary Kaliszyk, and Josef Urban · 2019
Earlier work this paper cites.
Learning to Prove Theorems by Learning to Generate Theorems
Mingzhe Wang and Jia Deng · 2020
Earlier work this paper cites.
Does the Order of Training Samples Matter? Improving Neural Data-to-Text Generation with Curriculum Learning
Ernie Chang, Hui-Syuan Yeh, and Vera Demberg · 2021
Earlier work this paper cites.
Lifelong Learning of Compositional Structures
Jorge A Mendez and Eric Eaton · 2021
Earlier work this paper cites.
Improving language models by retrieving from trillions of tokens, February 2022
Sebastian Borgeaud, Arthur Mensch, Jordan Hoffmann, Trevor Cai, Eliza Rutherford, Katie Millican, George van den Driessche, Jean-Baptiste Lespiau, Bogdan Damoc, Aidan Clark, Diego de Las Casas, Aurelia Guy, Jacob Menick, Roman Ring, Tom Hennigan, Saffron Huang, Loren Maggiore, Chris Jones, Albin Cassirer, Andy Brock, Michela Paganini, Geoffrey Irving, Oriol Vinyals, Simon Osindero, Karen Simonyan, Jack W. Rae, Erich Elsen, and Laurent Sifre · 2022
Earlier work this paper cites.
Thor: Wielding Hammers to Integrate Language Models and Automated Theorem Provers
Albert Q. Jiang, Wenda Li, Szymon Tworkowski, Konrad Czechowski, Tomasz Odrzygóźdź, Piotr Miłoś, Yuhuai Wu, and Mateja Jamnik · 2022
Earlier work this paper cites.
ReACC: A Retrieval-Augmented Code Completion Framework
Shuai Lu, Nan Duan, Hojae Han, Daya Guo, Seung-won Hwang, and Alexey Svyatkovskiy · 2022
Earlier work this paper cites.
Formal Mathematics Statement Curriculum Learning
Stanislas Polu, Jesse Michael Han, Kunhao Zheng, Mantas Baksys, Igor Babuschkin, and I. Sutskever · 2022
Earlier work this paper cites.
ByT5: Towards a Token-Free Future with Pre-trained Byte-to-Byte Models
Linting Xue, Aditya Barua, Noah Constant, Rami Al-Rfou, Sharan Narang, Mihir Kale, Adam Roberts, and Colin Raffel · 2022
Earlier work this paper cites.
On the difficulty of discovering mathematical proofs
Andrew Arana and Will Stafford · 2023
Cited alongside, same era.
Is forgetting less a good inductive bias for forward transfer?, March 2023
Jiefeng Chen, Timothy Nguyen, Dilan Gorur, and Arslan Chaudhry · 2023
Cited alongside, same era.
Continual evaluation for lifelong learning: Identifying the stability gap, March 2023
Matthias De Lange, Gido van de Ven, and Tinne Tuytelaars · 2023
Cited alongside, same era.
EmbedDistill: A Geometric Knowledge Distillation for Information Retrieval
Seungyeon Kim, Ankit Singh Rawat, Manzil Zaheer, Sadeep Jayasumana, Veeranjaneyulu Sadhanala, Wittawat Jitkrittum, Aditya Krishna Menon, Rob Fergus, and Sanjiv Kumar · 2023
Cited alongside, same era.
FIMO: A Challenge Formal Dataset for Automated Theorem Proving, December 2023
Chengwu Liu, Jianhao Shen, Huajian Xin, Zhengying Liu, Ye Yuan, Haiming Wang, Wei Ju, Chuanyang Zheng, Yichun Yin, Lin Li, Ming Zhang, and Qun Liu · 2023
Cited alongside, same era.
Interpretable Catastrophic Forgetting of Large Language Model Fine-tuning via Instruction Vector
Gangwei Jiang, Caigao Jiang, Zhaoyi Li, Siqiao Xue, Jun Zhou, Linqi Song, Defu Lian, and Ying Wei · 2024
Closest in time.
AlexKontorovich/PrimeNumberTheoremAnd, August 2024
Alex Kontorovich · 2024
Closest in time.
DeepSpeed Data Efficiency: Improving Deep Learning Model Quality and Training Efficiency via Efficient Data Sampling and Routing
Conglong Li, Zhewei Yao, Xiaoxia Wu, Minjia Zhang, Connor Holmes, Cheng Li, and Yuxiong He · 2024
Closest in time.
Lean-STaR: Learning to Interleave Thinking and Proving, August 2024
Haohan Lin, Zhiqing Sun, Yiming Yang, and Sean Welleck · 2024
Closest in time.
Proof Automation with Large Language Models, September 2024
Minghai Lu, Benjamin Delaware, and Tianyi Zhang · 2024
Closest in time.
Leanprover-community/mathlib4
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Machine-Learned Premise Selection for Lean
Bartosz Piotrowski, Ramon Fernández Mir, and Edward Ayers · 2023
Cited alongside, same era.
DT-Solver: Automated Theorem Proving with Dynamic-Tree Sampling Guided by Proof-level Value Function
Haiming Wang, Ye Yuan, Zhengying Liu, Jianhao Shen, Yichun Yin, Jing Xiong, Enze Xie, Han Shi, Yujun Li, Lin Li, Jian Yin, Zhenguo Li, and Xiaodan Liang · 2023
Cited alongside, same era.
LeanDojo: Theorem Proving with Retrieval-Augmented Language Models
Kaiyu Yang, Aidan M. Swope, Alex Gu, Rahul Chalamala, Peiyang Song, Shixing Yu, Saad Godil, Ryan Prenger, and Anima Anandkumar · 2023
Cited alongside, same era.
DocPrompting: Generating Code by Retrieving the Docs, February 2023
Shuyan Zhou, Uri Alon, Frank F. Xu, Zhiruo Wang, Zhengbao Jiang, and Graham Neubig · 2023
Cited alongside, same era.
Avigad/mathematics_in_lean_source, August 2024
Jeremy Avigad · 2024
Cited alongside, same era.
Llemma: An Open Language Model For Mathematics, March 2024
Zhangir Azerbayev, Hailey Schoelkopf, Keiran Paster, Marco Dos Santos, Stephen McAleer, Albert Q. Jiang, Jia Deng, Stella Biderman, and Sean Welleck · 2024
Cited alongside, same era.
Digama0/lean4lean, September 2024
Mario Carneiro · 2024
Cited alongside, same era.
The mathlib4 Community · 2024
Closest in time.
Magnushammer: A Transformer-Based Approach to Premise Selection, March 2024
Maciej Mikuła, Szymon Tworkowski, Szymon Antoniak, Bartosz Piotrowski, Albert Qiaochu Jiang, Jin Peng Zhou, Christian Szegedy, Łukasz Kuciński, Piotr Miłoś, and Yuhuai Wu · 2024
Closest in time.
Yuma-mizuno/lean-math-workshop
Yuma Mizuno · 2024
Closest in time.
Louis-Le-Grand/Formalisation-of-constructable-numbers, September 2024
Ludwig Monnerjahn · 2024
Closest in time.
Loganrjmurphy/LeanEuclid, September 2024
Logan Murphy · 2024
Closest in time.
OpenAI o1 System Card, September 2024
OpenAI · 2024
Closest in time.
Dwrensha/compfiles: Catalog Of Math Problems Formalized In Lean
David Renshaw · 2024
Closest in time.
DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models, April 2024
Zhihong Shao, Peiyi Wang, Qihao Zhu, Runxin Xu, Junxiao Song, Xiao Bi, Haowei Zhang, Mingchuan Zhang, Y. K. Li, Y. Wu, and Daya Guo · 2024
Closest in time.
Lecopivo/SciLean: Scientific computing in Lean 4
Tomáš Skřivan · 2024
Closest in time.
Towards large language models as copilots for theorem proving in lean, 2024
Peiyang Song, Kaiyu Yang, and Anima Anandkumar · 2024
Closest in time.
Teorth/pfr, August 2024
Terence Tao, Pietro Monticone, Lorenzo Luccioli, and Rémy Degenne · 2024
Closest in time.
An In-Context Learning Agent for Formal Theorem-Proving, August 2024
Amitayush Thakur, George Tsoukalas, Yeming Wen, Jimmy Xin, and Swarat Chaudhuri · 2024
Closest in time.
Continual Learning and Catastrophic Forgetting, March 2024
Gido M. van de Ven, Nicholas Soures, and Dhireesha Kudithipudi · 2024
Closest in time.
Fpvandoorn/carleson, September 2024
Floris van Doorn · 2024
Closest in time.
A Comprehensive Survey of Continual Learning: Theory, Method and Application
Liyuan Wang, Xingxing Zhang, Hang Su, and Jun Zhu · 2024
Closest in time.
Eric-wieser/lean-matrix-cookbook: The matrix cookbook, proved in the Lean theorem prover
Eric Wieser · 2024
Closest in time.
Yangky11/miniF2F-lean4
Kaiyu Yang · 2024
Closest in time.
Ahhwuhu/zeta_3_irrational at 3d68ddd90434a398c9a72f30d50c57f15a0118c7
Zeta 3 Irrational · 2024
Closest in time.
Don’t Trust: Verify – Grounding LLM Quantitative Reasoning with Autoformalization, March 2024
Jin Peng Zhou, Charles Staats, Wenda Li, Christian Szegedy, Kilian Q. Weinberger, and Yuhuai Wu · 2024
Closest in time.