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A central question in artificial intelligence is the extent to which machine learning models comprehend mathematics. To address this, we propose a novel framework for measuring mathematical reasoning that moves beyond standard benchmarks to…

Computation and Language · Computer Science 2025-10-13 V. S. Raghu Parupudi

Logical reasoning remains a challenge for natural language processing, but it can be improved by training language models to mimic theorem provers on procedurally generated problems. Previous work used domain-specific proof generation…

Computation and Language · Computer Science 2024-06-18 Damien Sileo

Recent Large Language Models (LLMs) have significantly advanced natural language processing and automated decision-making. However, these models still encounter difficulties when performing complex reasoning tasks involving logical…

Computation and Language · Computer Science 2025-06-26 Yubo Dong , Hehe Fan

In reasoning tasks, even a minor error can cascade into inaccurate results, leading to suboptimal performance of large language models in such domains. Earlier fine-tuning approaches sought to mitigate this by leveraging more precise…

Computation and Language · Computer Science 2024-07-12 Changyu Chen , Xiting Wang , Ting-En Lin , Ang Lv , Yuchuan Wu , Xin Gao , Ji-Rong Wen , Rui Yan , Yongbin Li

Existing benchmarks for frontier models often test specialized, "PhD-level" knowledge that is difficult for non-experts to grasp. In contrast, we present a benchmark with 613 problems based on the NPR Sunday Puzzle Challenge that requires…

Test-time scaling has enabled Large Language Models (LLMs) with remarkable reasoning capabilities, particularly in mathematical domains, through intermediate chain-of-thought (CoT) reasoning before generating final answers. However, the…

Machine Learning · Computer Science 2025-10-21 Binxin Gao , Jingjun Han

Advanced models such as OpenAI o1 exhibit impressive problem-solving capabilities through step-by-step reasoning. However, they may still falter on more complex problems, making errors that disrupt their reasoning paths. We attribute this…

Computation and Language · Computer Science 2024-10-16 Yew Ken Chia , Guizhen Chen , Weiwen Xu , Luu Anh Tuan , Soujanya Poria , Lidong Bing

Large Language Models (LLMs) have achieved remarkable success across diverse tasks, largely driven by well-designed prompts. However, crafting and selecting such prompts often requires considerable human effort, significantly limiting its…

Computation and Language · Computer Science 2025-03-20 Dengyun Peng , Yuhang Zhou , Qiguang Chen , Jinhao Liu , Jingjing Chen , Libo Qin

In the era of large language models, Mixture-of-Experts (MoE) is a promising architecture for managing computational costs when scaling up model parameters. However, conventional MoE architectures like GShard, which activate the top-$K$ out…

Verification is crucial for effective mathematical reasoning. We present a new temporal consistency method where verifiers iteratively refine their judgments based on the previous assessment. Unlike one-round verification or multi-model…

Computation and Language · Computer Science 2025-12-01 Jiacheng Guo , Yue Wu , Jiahao Qiu , Kaixuan Huang , Xinzhe Juan , Ling Yang , Mengdi Wang

Recent advances in large language models (LLMs) have popularized test-time scaling, where models generate additional reasoning tokens before producing final answers. These approaches have demonstrated significant performance improvements on…

Artificial Intelligence · Computer Science 2026-01-13 Wenxun Wu , Yuanyang Li , Guhan Chen , Linyue Wang , Hongyang Chen

This paper investigates the capabilities of large language models (LLMs) in formulating and solving decision-making problems using mathematical programming. We first conduct a systematic review and meta-analysis of recent literature to…

Artificial Intelligence · Computer Science 2025-08-26 Mohammad J. Abdel-Rahman , Yasmeen Alslman , Dania Refai , Amro Saleh , Malik A. Abu Loha , Mohammad Yahya Hamed

As the mathematical capabilities of large language models (LLMs) improve, it becomes increasingly important to evaluate their performance on research-level tasks at the frontier of mathematical knowledge. However, existing benchmarks are…

Mathematical reasoning has been challenging for large language models (LLMs), and the introduction of step-by-step Chain-of-Thought (CoT) inference has significantly advanced the mathematical capabilities of LLMs. However, current…

Artificial Intelligence · Computer Science 2025-09-23 Lang Cao , Yingtian Zou , Chao Peng , Renhong Chen , Wu Ning , Yitong Li

In this paper, we investigate the underlying factors that potentially enhance the mathematical reasoning capabilities of large language models (LLMs). We argue that the data scaling law for math reasoning capabilities in modern LLMs is far…

Artificial Intelligence · Computer Science 2024-07-18 Liang Zeng , Liangjun Zhong , Liang Zhao , Tianwen Wei , Liu Yang , Jujie He , Cheng Cheng , Rui Hu , Yang Liu , Shuicheng Yan , Han Fang , Yahui Zhou

DeepSeek-R1 is a cutting-edge open-source large language model (LLM) developed by DeepSeek, showcasing advanced reasoning capabilities through a hybrid architecture that integrates mixture of experts (MoE), chain of thought (CoT) reasoning,…

Computation and Language · Computer Science 2025-06-03 Jiancheng Ye , Sophie Bronstein , Jiarui Hai , Malak Abu Hashish

Formal mathematical reasoning remains a critical challenge for artificial intelligence, hindered by limitations of existing benchmarks in scope and scale. To address this, we present FormalMATH, a large-scale Lean4 benchmark comprising…

How far are Large Language Models (LLMs) in performing deep relational reasoning? In this paper, we evaluate and compare the reasoning capabilities of three cutting-edge LLMs, namely, DeepSeek-R1, DeepSeek-V3 and GPT-4o, through a suite of…

Artificial Intelligence · Computer Science 2025-07-01 Chi Chiu So , Yueyue Sun , Jun-Min Wang , Siu Pang Yung , Anthony Wai Keung Loh , Chun Pong Chau

Though reasoning abilities are considered language-agnostic, existing LLMs exhibit inconsistent reasoning abilities across different languages, e.g., reasoning in the dominant language like English is superior to other languages due to the…

Computation and Language · Computer Science 2024-04-16 Shuaijie She , Wei Zou , Shujian Huang , Wenhao Zhu , Xiang Liu , Xiang Geng , Jiajun Chen

Language models have become increasingly popular in recent years for tasks like information retrieval. As use-cases become oriented toward specific domains, fine-tuning becomes default for standard performance. To fine-tune these models for…

Computation and Language · Computer Science 2023-01-02 Pranjali Awasthi , David Recio-Mitter , Yosuke Kyle Sugi
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