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Recently, decomposing complex problems into simple subtasks--a crucial part of human-like natural planning--to solve the given problem has significantly boosted the performance of large language models (LLMs). However, leveraging such…

Computation and Language · Computer Science 2025-07-11 Mihir Parmar , Palash Goyal , Xin Liu , Yiwen Song , Mingyang Ling , Chitta Baral , Hamid Palangi , Tomas Pfister

The math abilities of large language models can represent their abstract reasoning ability. In this paper, we introduce and open-source our math reasoning LLMs InternLM-Math which is continue pre-trained from InternLM2. We unify…

Our research demonstrates the significant benefits of using fine-tuning with explanations to enhance the performance of language models. Unlike prompting, which maintains the model's parameters, fine-tuning allows the model to learn and…

Computation and Language · Computer Science 2024-02-13 Mohamad Ballout , Ulf Krumnack , Gunther Heidemann , Kai-Uwe Kuehnberger

Large language models (LLMs) have made impressive progress in handling simple math problems, yet they still struggle with more challenging and complex mathematical tasks. In this paper, we introduce a series of LLMs that employs the…

Computation and Language · Computer Science 2024-07-18 Chengpeng Li , Guanting Dong , Mingfeng Xue , Ru Peng , Xiang Wang , Dayiheng Liu

With the great success of ChatGPT, the research of large language models has become increasingly popular. However, the models have several limitations, such as toxicity and pool performance of arithmetic solving. Meanwhile, LLM may have…

Computation and Language · Computer Science 2023-12-01 Yingdi Guo

Despite their success in many natural language tasks, solving math problems remains a significant challenge for large language models (LLMs). A large gap exists between LLMs' pass-at-one and pass-at-N performance in solving math problems,…

Computation and Language · Computer Science 2023-10-17 Yixin Liu , Avi Singh , C. Daniel Freeman , John D. Co-Reyes , Peter J. Liu

Large reasoning models such as DeepSeek-R1 and their distilled variants achieve strong performance on complex reasoning tasks. Yet, distilling these models often demands large-scale data for supervised fine-tuning (SFT), motivating the…

Computation and Language · Computer Science 2026-01-16 Lechen Zhang , Yunxiang Zhang , Wei Hu , Lu Wang

We look at reasoning on GSM8k, a dataset of short texts presenting primary school, math problems. We find, with Mirzadeh et al. (2024), that current LLM progress on the data set may not be explained by better reasoning but by exposure to a…

Computation and Language · Computer Science 2025-03-10 Krish Sharma , Niyar R Barman , Akshay Chaturvedi , Nicholas Asher

Solving symbolic reasoning problems that require compositionality and systematicity is considered one of the key ingredients of human intelligence. However, symbolic reasoning is still a great challenge for deep learning models, which often…

Neural and Evolutionary Computing · Computer Science 2023-07-03 Flavio Petruzzellis , Alberto Testolin , Alessandro Sperduti

Multi-step reasoning ability of large language models is crucial in tasks such as math and tool utilization. Current researches predominantly focus on enhancing model performance in these multi-step reasoning tasks through fine-tuning with…

Computation and Language · Computer Science 2024-10-23 Yuli Qiu , Jiashu Yao , Heyan Huang , Yuhang Guo

Many intellectual endeavors require mathematical problem solving, but this skill remains beyond the capabilities of computers. To measure this ability in machine learning models, we introduce MATH, a new dataset of 12,500 challenging…

Machine Learning · Computer Science 2021-11-10 Dan Hendrycks , Collin Burns , Saurav Kadavath , Akul Arora , Steven Basart , Eric Tang , Dawn Song , Jacob Steinhardt

Large language models (LLMs) have achieved impressive success on many benchmarks for mathematical reasoning. However, there is growing concern that some of this performance actually reflects dataset contamination, where data closely…

With the development of artificial intelligence (AI), large language models (LLM) are widely used in many fields. However, the reasoning ability of LLM is still very limited when it comes to mathematical reasoning. Mathematics plays an…

Computation and Language · Computer Science 2024-08-06 Wenbei Xie , Donglin Liu , Haoran Yan , Wenjie Wu , Zongyang Liu

Despite recent advances in training and prompting strategies for Large Language Models (LLMs), these models continue to face challenges with complex logical reasoning tasks that involve long reasoning chains. In this work, we explore the…

Computation and Language · Computer Science 2024-12-18 Jiaming Zhou , Abbas Ghaddar , Ge Zhang , Liheng Ma , Yaochen Hu , Soumyasundar Pal , Mark Coates , Bin Wang , Yingxue Zhang , Jianye Hao

Large language models make remarkable progress in reasoning capabilities. Existing works focus mainly on deductive reasoning tasks (e.g., code and math), while another type of reasoning mode that better aligns with human learning, inductive…

Computation and Language · Computer Science 2025-03-18 Kedi Chen , Zhikai Lei , Fan Zhang , Yinqi Zhang , Qin Chen , Jie Zhou , Liang He , Qipeng Guo , Kai Chen , Wei Zhang

Pretrained large Language Models (LLMs) are able to answer questions that are unlikely to have been encountered during training. However a diversity of potential applications exist in the broad domain of reasoning systems and considerations…

Computation and Language · Computer Science 2024-11-27 Tim Hartill

Large Language Models (LLMs) have been applied to Math Word Problems (MWPs) with transformative impacts, revolutionizing how these complex problems are approached and solved in various domains including educational settings. However, the…

Computation and Language · Computer Science 2024-06-18 Joykirat Singh , Akshay Nambi , Vibhav Vineet

Reinforcement learning (RL)-based fine-tuning has become a crucial step in post-training language models for advanced mathematical reasoning and coding. Following the success of frontier reasoning models, recent work has demonstrated that…

Machine Learning · Computer Science 2025-08-11 Rosie Zhao , Alexandru Meterez , Sham Kakade , Cengiz Pehlevan , Samy Jelassi , Eran Malach

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

The use of Large Language Models (LLMs) in mathematical reasoning has become a cornerstone of related research, demonstrating the intelligence of these models and enabling potential practical applications through their advanced performance,…

Computation and Language · Computer Science 2024-12-20 Kathrin Seßler , Yao Rong , Emek Gözlüklü , Enkelejda Kasneci
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