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Equation discovery is aimed at directly extracting physical laws from data and has emerged as a pivotal research domain. Previous methods based on symbolic mathematics have achieved substantial advancements, but often require the design of…

Machine Learning · Computer Science 2024-07-23 Mengge Du , Yuntian Chen , Zhongzheng Wang , Longfeng Nie , Dongxiao Zhang

Large Language Models (LLMs) exhibit impressive performance across various domains but still struggle with arithmetic reasoning tasks. Recent work shows the effectiveness of prompt design methods in enhancing reasoning capabilities.…

Computation and Language · Computer Science 2024-10-11 Wenting Tan , Dongxiao Chen , Jieting Xue , Zihao Wang , Taijie Chen

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…

The rapid advancement of Large Language Models (LLMs) in the realm of mathematical reasoning necessitates comprehensive evaluations to gauge progress and inspire future directions. Existing assessments predominantly focus on problem-solving…

Computation and Language · Computer Science 2024-06-05 Xiaoyuan Li , Wenjie Wang , Moxin Li , Junrong Guo , Yang Zhang , Fuli Feng

Socratic questioning is an educational method that allows students to discover answers to complex problems by asking them a series of thoughtful questions. Generation of didactically sound questions is challenging, requiring understanding…

Computation and Language · Computer Science 2022-11-24 Kumar Shridhar , Jakub Macina , Mennatallah El-Assady , Tanmay Sinha , Manu Kapur , Mrinmaya Sachan

The enhancement of mathematical capabilities in large language models (LLMs) fosters new developments in mathematics education within primary and secondary schools, particularly as they relate to intelligent tutoring systems. However, LLMs…

Computation and Language · Computer Science 2025-07-08 Zhenquan Shen , Xinguo Yu , Xiaotian Cheng , Rao Peng , Hao Ming

Mathematical reasoning would be one of the next frontiers for artificial intelligence to make significant progress. The ongoing surge to solve math word problems (MWPs) and hence achieve better mathematical reasoning ability would continue…

Computation and Language · Computer Science 2021-11-11 Keyur Faldu , Amit Sheth , Prashant Kikani , Manas Gaur , Aditi Avasthi

Recent advancements in large language models (LLMs) have showcased significant improvements in mathematics. However, traditional math benchmarks like GSM8k offer a unidimensional perspective, falling short in providing a holistic assessment…

Computation and Language · Computer Science 2024-05-21 Hongwei Liu , Zilong Zheng , Yuxuan Qiao , Haodong Duan , Zhiwei Fei , Fengzhe Zhou , Wenwei Zhang , Songyang Zhang , Dahua Lin , Kai Chen

Generating accurate and consistent visual aids is a critical challenge in mathematics education, where visual representations like geometric shapes and functions play a pivotal role in enhancing student comprehension. This paper introduces…

Computation and Language · Computer Science 2024-11-11 Jeongwoo Lee , Kwangsuk Park , Jihyeon Park

We evaluate the reasoning abilities of large language models in multilingual settings. We introduce the Multilingual Grade School Math (MGSM) benchmark, by manually translating 250 grade-school math problems from the GSM8K dataset (Cobbe et…

This paper aims to advance the mathematical intelligence of machines by presenting the first Chinese mathematical pre-trained language model~(PLM) for effectively understanding and representing mathematical problems. Unlike other standard…

Computation and Language · Computer Science 2022-06-14 Wayne Xin Zhao , Kun Zhou , Zheng Gong , Beichen Zhang , Yuanhang Zhou , Jing Sha , Zhigang Chen , Shijin Wang , Cong Liu , Ji-Rong Wen

This paper investigates how hallucination rates in Large Language Models (LLMs) may be controlled via a symbolic data generation framework, exploring a fundamental relationship between the rate of certain mathematical errors and types of…

Computation and Language · Computer Science 2025-01-14 Jordan Meadows , Marco Valentino , Andre Freitas

Final-answer-based metrics are commonly used for evaluating large language models (LLMs) on math word problems, often taken as proxies for reasoning ability. However, such metrics conflate two distinct sub-skills: abstract formulation…

Computation and Language · Computer Science 2025-05-30 Ziling Cheng , Meng Cao , Leila Pishdad , Yanshuai Cao , Jackie Chi Kit Cheung

Entity resolution, the task of identifying and merging records that refer to the same real-world entity, is crucial in sectors like e-commerce, healthcare, and law enforcement. Large Language Models (LLMs) introduce an innovative approach…

Computation and Language · Computer Science 2024-09-13 Huahang Li , Longyu Feng , Shuangyin Li , Fei Hao , Chen Jason Zhang , Yuanfeng Song

Advanced applied mathematics problems are underrepresented in existing Large Language Model (LLM) benchmark datasets. To address this, we introduce HARDMath, a dataset inspired by a graduate course on asymptotic methods, featuring…

Large language models (LLMs) are capable of solving a wide range of tasks, yet they have struggled with reasoning. To address this, we propose $\textbf{Additional Logic Training (ALT)}$, which aims to enhance LLMs' reasoning capabilities by…

Machine Learning · Computer Science 2024-12-24 Terufumi Morishita , Gaku Morio , Atsuki Yamaguchi , Yasuhiro Sogawa

Large language models (LLMs) have demonstrated remarkable potential across a broad range of applications. However, producing reliable text that faithfully represents data remains a challenge. While prior work has shown that task-specific…

Human-Computer Interaction · Computer Science 2026-03-16 Amandine M. Caut , Amy Rouillard , Beimnet Zenebe , Matthias Green , Ágúst Pálmason Morthens , David J. T. Sumpter

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

The challenges of solving complex university-level mathematics problems, particularly those from MIT, and Columbia University courses, and selected tasks from the MATH dataset, remain a significant obstacle in the field of artificial…

Computation and Language · Computer Science 2025-09-23 Eishkaran Singh , Tanav Singh Bajaj , Siddharth Nayak

Mathematical reasoning is an increasingly important indicator of large language model (LLM) capabilities, yet we lack understanding of how LLMs process even simple mathematical tasks. To address this, we reverse engineer how three mid-sized…

Artificial Intelligence · Computer Science 2025-02-04 Subhash Kantamneni , Max Tegmark
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