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Exceptional mathematical reasoning ability is one of the key features that demonstrate the power of large language models (LLMs). How to comprehensively define and evaluate the mathematical abilities of LLMs, and even reflect the user…

Computation and Language · Computer Science 2024-10-10 Zihao Zhou , Shudong Liu , Maizhen Ning , Wei Liu , Jindong Wang , Derek F. Wong , Xiaowei Huang , Qiufeng Wang , Kaizhu Huang

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

Logical reasoning is a fundamental aspect of human intelligence and a key component of tasks like problem-solving and decision-making. Recent advancements have enabled Large Language Models (LLMs) to potentially exhibit reasoning…

Computation and Language · Computer Science 2023-11-13 Jiazhan Feng , Ruochen Xu , Junheng Hao , Hiteshi Sharma , Yelong Shen , Dongyan Zhao , Weizhu Chen

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

Large Language Models (LLMs) have recently developed new advanced functionalities. Their effectiveness relies on statistical learning and generalization capabilities. However, they face limitations in internalizing the data they process and…

Machine Learning · Computer Science 2026-01-14 Farah Ben Slama , Frédéric Armetta

Human cognition exhibits systematic compositionality, the algebraic ability to generate infinite novel combinations from finite learned components, which is the key to understanding and reasoning about complex logic. In this work, we…

Computation and Language · Computer Science 2024-10-11 Jun Zhao , Jingqi Tong , Yurong Mou , Ming Zhang , Qi Zhang , Xuanjing Huang

There is a substantial body of literature examining the mathematical reasoning capabilities of large language models (LLMs), particularly their performance on precise arithmetic operations in autoregressive architectures. However, their…

Computation and Language · Computer Science 2025-10-31 Chiung-Yi Tseng , Somshubhra Roy , Maisha Thasin , Danyang Zhang , Blessing Effiong

Despite significant advancements in the general capability of large language models (LLMs), they continue to struggle with consistent and accurate reasoning, especially in complex tasks such as mathematical and code reasoning. One key…

Machine Learning · Computer Science 2024-10-10 Zhenwen Liang , Ye Liu , Tong Niu , Xiangliang Zhang , Yingbo Zhou , Semih Yavuz

This study focuses on improving the performance of lightweight Large Language Models (LLMs) in mathematical reasoning tasks. We introduce a novel method for measuring mathematical logic similarity and design an automatic screening mechanism…

Computation and Language · Computer Science 2024-09-04 Ding Kai , Ma Zhenguo , Yan Xiaoran

Large Language Models (LLMs) have made remarkable strides in reasoning tasks, yet their performance often falters on novel and complex problems. Domain-specific continued pretraining (CPT) methods, such as those tailored for mathematical…

Artificial Intelligence · Computer Science 2025-07-24 Qifan Zhang , Nuo Chen , Zehua Li , Miao Peng , Jing Tang , Jia Li

Multimodal large language models (MLLMs) have achieved strong performance on perception-oriented tasks, yet their ability to perform mathematical spatial reasoning, defined as the capacity to parse and manipulate two- and three-dimensional…

Recent advancements in Large Language Models (LLMs) have showcased striking results on existing logical reasoning benchmarks, with some models even surpassing human performance. However, the true depth of their competencies and robustness…

Computation and Language · Computer Science 2024-11-05 Pengfei Hong , Navonil Majumder , Deepanway Ghosal , Somak Aditya , Rada Mihalcea , Soujanya Poria

Integrating free-text explanations to in-context learning of large language models (LLM) is shown to elicit strong reasoning capabilities along with reasonable explanations. In this paper, we consider the problem of leveraging the…

Computation and Language · Computer Science 2022-10-14 Shiyang Li , Jianshu Chen , Yelong Shen , Zhiyu Chen , Xinlu Zhang , Zekun Li , Hong Wang , Jing Qian , Baolin Peng , Yi Mao , Wenhu Chen , Xifeng Yan

Large language models (LLMs) are increasingly embedded in AI-based tutoring systems. Can they faithfully model novice reasoning and metacognitive judgments? Existing evaluations emphasize problem-solving accuracy, overlooking the fragmented…

Computation and Language · Computer Science 2026-05-12 Conrad Borchers , Jill-Jênn Vie , Roger Azevedo

Large language models (LLMs) have exhibited great potential in mathematical reasoning. However, there remains a performance gap in this area between existing open-source models and closed-source models such as GPT-4. In this paper, we…

Computation and Language · Computer Science 2024-09-12 Zimu Lu , Aojun Zhou , Houxing Ren , Ke Wang , Weikang Shi , Junting Pan , Mingjie Zhan , Hongsheng Li

Large language models (LLMs) can solve problems step-by-step. While this chain-of-thought (CoT) reasoning boosts LLMs' performance, it is unclear if LLMs \textit{know} when to use CoT and whether those CoT are always necessary to answer the…

Computation and Language · Computer Science 2024-03-21 Cheng-Han Chiang , Hung-yi Lee

Although demonstrating remarkable performance on reasoning tasks, Large Language Models (LLMs) still tend to fabricate unreliable responses when confronted with problems that are unsolvable or beyond their capability, severely undermining…

Computation and Language · Computer Science 2025-11-13 Boyang Xue , Qi Zhu , Rui Wang , Sheng Wang , Hongru Wang , Minda Hu , Fei Mi , Yasheng Wang , Lifeng Shang , Qun Liu , Kam-Fai Wong

We study the depth of grade-school math (GSM) problem-solving capabilities of LLMs. To this end, we evaluate their performance on pairs of existing math word problems together so that the answer to the second problem depends on correctly…

Machine Learning · Computer Science 2024-10-03 Arian Hosseini , Alessandro Sordoni , Daniel Toyama , Aaron Courville , Rishabh Agarwal

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

Current LLM training positions mathematical reasoning as a core capability. With publicly available sources fully tapped, there is unmet demand for diverse and challenging math questions. Relying solely on human experts is both…

Artificial Intelligence · Computer Science 2025-02-04 Vedant Shah , Dingli Yu , Kaifeng Lyu , Simon Park , Jiatong Yu , Yinghui He , Nan Rosemary Ke , Michael Mozer , Yoshua Bengio , Sanjeev Arora , Anirudh Goyal
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