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Most efforts to improve the reasoning capabilities of large language models (LLMs) involve either scaling the number of parameters and the size of training data, or scaling inference computation by letting models generate complex chains of…

Machine Learning · Computer Science 2025-10-10 Yeskendir Koishekenov , Aldo Lipani , Nicola Cancedda

Despite the growing application of Large Language Models (LLMs) to theoretical physics, there is little academic exploration into how domain-specific physics reasoning ability develops while training these models. To investigate this, we…

Machine Learning · Computer Science 2026-04-22 Nathaniel S. Woodward , Zhiqi Gao , Yurii Kvasiuk , Kendrick M. Smith , Frederic Sala , Moritz Münchmeyer

Large Language Models (LLMs) have shown strong reasoning capabilities, with models like OpenAI's O-series and DeepSeek R1 excelling at tasks such as mathematics, coding, logic, and puzzles through Reinforcement Learning with Verifiable…

Artificial Intelligence · Computer Science 2025-10-21 Xiaozhe Li , Xinyu Fang , Shengyuan Ding , Linyang Li , Haodong Duan , Qingwen Liu , Kai Chen

We challenge the prevailing assumption that complex reasoning in large language models (LLMs) necessitates massive training data. We demonstrate that sophisticated mathematical reasoning can emerge with only a few examples. Specifically,…

Computation and Language · Computer Science 2025-07-30 Yixin Ye , Zhen Huang , Yang Xiao , Ethan Chern , Shijie Xia , Pengfei Liu

This paper introduces Light-R1, an open-source suite for training long reasoning models using reproducible and cost-effective methodology. Given the proprietary nature of data used in the DeepSeek-R1 series, we develop an alternative…

Computation and Language · Computer Science 2025-05-29 Liang Wen , Yunke Cai , Fenrui Xiao , Xin He , Qi An , Zhenyu Duan , Yimin Du , Junchen Liu , Lifu Tang , Xiaowei Lv , Haosheng Zou , Yongchao Deng , Shousheng Jia , Xiangzheng Zhang

Large Reasoning Models (LRMs) have shown impressive capabilities in complex problem-solving, often benefiting from training on difficult mathematical problems that stimulate intricate reasoning. Recent efforts have explored automated…

Machine Learning · Computer Science 2025-09-26 Qizhi Pei , Zhuoshi Pan , Honglin Lin , Xin Gao , Yu Li , Zinan Tang , Conghui He , Rui Yan , Lijun Wu

While task-specific demonstrations show early success in applying large language models (LLMs) to automate some astronomical research tasks, they only provide incomplete views of all necessary capabilities in solving astronomy problems,…

Instrumentation and Methods for Astrophysics · Physics 2025-10-08 Lucas Carrit Delgado Pinheiro , Ziru Chen , Bruno Caixeta Piazza , Ness Shroff , Yingbin Liang , Yuan-Sen Ting , Huan Sun

Large reasoning models (LRMs) can do complex reasoning via long chain-of-thought (CoT) involving cognitive strategies such as backtracking and self-correction. Recent studies suggest that some models inherently possess these long reasoning…

Computation and Language · Computer Science 2025-07-18 Yunxiang Zhang , Muhammad Khalifa , Lechen Zhang , Xin Liu , Ayoung Lee , Xinliang Frederick Zhang , Farima Fatahi Bayat , Lu Wang

Reasoning is a key component of language understanding in Large Language Models. While Chain-of-Thought prompting enhances performance via explicit intermediate steps, it suffers from sufficient token overhead and a fixed reasoning…

Computation and Language · Computer Science 2025-11-18 Xinyuan Wang , Dongjie Wang , Wangyang Ying , Haoyue Bai , Nanxu Gong , Sixun Dong , Kunpeng Liu , Yanjie Fu

We present PCL-Reasoner-V1.5, a 32-billion-parameter large language model (LLM) for mathematical reasoning. The model is built upon Qwen2.5-32B and refined via supervised fine-tuning (SFT) followed by reinforcement learning (RL). A central…

Machine Learning · Computer Science 2026-01-22 Yao Lu , Dengdong Fan , Jianzheng Nie , Fan Xu , Jie Chen , Bin Zhou , Yonghong Tian

The research in AI-based formal mathematical reasoning has shown an unstoppable growth trend. These studies have excelled in mathematical competitions like IMO and have made significant progress. This paper focuses on formal verification,…

Artificial Intelligence · Computer Science 2025-06-10 Jialun Cao , Yaojie Lu , Meiziniu Li , Haoyang Ma , Haokun Li , Mengda He , Cheng Wen , Le Sun , Hongyu Zhang , Shengchao Qin , Shing-Chi Cheung , Cong Tian

The rapid advancement of Large Language Models (LLMs) has introduced new possibilities and challenges in physics education, necessitating rigorous evaluation of their capabilities as both problem solvers and automated assessors. This paper…

Physics Education · Physics 2026-05-25 Jonah R. Donaldson , Aliya Navaz , Konstantinos Doran , Alysta Lim , Mario Campanelli

Despite recent progress in large-scale reinforcement learning (RL) for reasoning, the training recipe for building high-performing reasoning models remains elusive. Key implementation details of frontier models, such as DeepSeek-R1,…

Machine Learning · Computer Science 2025-06-06 Yang Chen , Zhuolin Yang , Zihan Liu , Chankyu Lee , Peng Xu , Mohammad Shoeybi , Bryan Catanzaro , Wei Ping

We introduce DeepSeek-Prover-V2, an open-source large language model designed for formal theorem proving in Lean 4, with initialization data collected through a recursive theorem proving pipeline powered by DeepSeek-V3. The cold-start…

Large Language Models (LLMs) have shown significant promise in automated theorem proving, yet progress is often constrained by the scarcity of diverse and high-quality formal language data. To address this issue, we introduce…

Computation and Language · Computer Science 2025-12-02 Xinyuan Zhou , Yi Lei , Xiaoyu Zhou , Jingyi Sun , Yu Zhu , Zhongyi Ye , Weitai Zhang , Quan Liu , Si Wei , Cong Liu

Large language models (LLMs) have been shown to perform better when asked to reason step-by-step before answering a question. However, it is unclear to what degree the model's final answer is faithful to the stated reasoning steps. In this…

Computation and Language · Computer Science 2024-10-08 Debjit Paul , Robert West , Antoine Bosselut , Boi Faltings

Large language models (LLMs) have recently demonstrated remarkable success in mathematical reasoning. Despite progress in methods like chain-of-thought prompting and self-consistency sampling, these advances often focus on final correctness…

Thinking Large Language Models (LLMs) generate explicit intermediate reasoning traces before final answers, potentially improving transparency, interpretability, and solution accuracy for code generation. However, the quality of these…

Artificial Intelligence · Computer Science 2025-11-11 Haoran Xue , Gias Uddin , Song Wang

Large reasoning models exhibit long chain-of-thought reasoning with complex strategies such as backtracking and self-verification. Yet, these capabilities typically require resource-intensive post-training. We investigate whether such…

Computation and Language · Computer Science 2026-04-21 Yunxiang Zhang , Muhammad Khalifa , Lechen Zhang , Xin Liu , Ayoung Lee , Xinliang Frederick Zhang , Farima Fatahi Bayat , Lu Wang

Inequality proving, crucial across diverse scientific and mathematical fields, tests advanced reasoning skills such as discovering tight bounds and strategic theorem application. This makes it a distinct, demanding frontier for large…

Artificial Intelligence · Computer Science 2025-12-16 Pan Lu , Jiayi Sheng , Luna Lyu , Jikai Jin , Tony Xia , Alex Gu , James Zou
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