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Scientific software relies on high-precision computation, yet finite floating-point representations can introduce precision errors that propagate in safety-critical domains. Despite the growing use of large language models (LLMs) in…

Software Engineering · Computer Science 2026-04-10 Tien Nguyen , Kirshanthan Sundararajah , Muhammad Ali Gulzar

Large Language Models (LLMs) offer promising capabilities for tackling complex reasoning tasks, including optimization problems. However, existing methods either rely on prompt engineering, which leads to poor generalization across problem…

Machine Learning · Computer Science 2025-10-23 Dong Li , Xujiang Zhao , Linlin Yu , Yanchi Liu , Wei Cheng , Zhengzhang Chen , Zhong Chen , Feng Chen , Chen Zhao , Haifeng Chen

Math word problems are critical K-8 educational tools, but writing them is time consuming and requires extensive expertise. To be educational, problems must be solvable, have accurate answers, and, most importantly, be educationally…

Computation and Language · Computer Science 2024-09-30 Bryan R Christ , Jonathan Kropko , Thomas Hartvigsen

Large Language Models (LLMs) have demonstrated strong performance across a wide range of tasks, yet they still struggle with complex mathematical reasoning, a challenge fundamentally rooted in deep structural dependencies. To address this…

Artificial Intelligence · Computer Science 2025-12-01 Lei Zan , Keli Zhang , Ruichu Cai , Lujia Pan

Optimization problems are pervasive in sectors from manufacturing and distribution to healthcare. However, most such problems are still solved heuristically by hand rather than optimally by state-of-the-art solvers because the expertise…

Artificial Intelligence · Computer Science 2024-02-16 Ali AhmadiTeshnizi , Wenzhi Gao , Madeleine Udell

Motivated by the remarkable success of artificial intelligence (AI) across diverse fields, the application of AI to solve scientific problems, often formulated as partial differential equations (PDEs), has garnered increasing attention.…

Machine Learning · Computer Science 2025-10-21 Rohan Bhatnagar , Ling Liang , Krish Patel , Haizhao Yang

Solving mathematical word problems (MWPs) automatically is challenging, primarily due to the semantic gap between human-readable words and machine-understandable logics. Despite the long history dated back to the1960s, MWPs have regained…

Computation and Language · Computer Science 2019-04-30 Dongxiang Zhang , Lei Wang , Luming Zhang , Bing Tian Dai , Heng Tao Shen

Exploring the capabilities of Large Language Models (LLMs) in puzzle solving unveils critical insights into their potential and challenges in AI, marking a significant step towards understanding their applicability in complex reasoning…

Computation and Language · Computer Science 2025-08-04 Panagiotis Giadikiaroglou , Maria Lymperaiou , Giorgos Filandrianos , Giorgos Stamou

Solving math word problems is a challenging task that requires accurate natural language understanding to bridge natural language texts and math expressions. Motivated by the intuition about how human generates the equations given the…

Computation and Language · Computer Science 2019-06-11 Ting-Rui Chiang , Yun-Nung Chen

Language Models (LMs) have demonstrated impressive capabilities in solving complex reasoning tasks, particularly when prompted to generate intermediate explanations. However, it remains an open question whether these intermediate reasoning…

Computation and Language · Computer Science 2025-02-25 Moritz Miller , Kumar Shridhar

Large language models (LLMs) have pushed the limits of natural language understanding and exhibited excellent problem-solving ability. Despite the great success, most existing open-source LLMs (e.g., LLaMA-2) are still far away from…

Computation and Language · Computer Science 2024-05-06 Longhui Yu , Weisen Jiang , Han Shi , Jincheng Yu , Zhengying Liu , Yu Zhang , James T. Kwok , Zhenguo Li , Adrian Weller , Weiyang Liu

Despite significant advancements in text generation and reasoning, Large Language Models (LLMs) still face challenges in accurately performing complex arithmetic operations. Language model systems often enable LLMs to generate code for…

Computation and Language · Computer Science 2024-09-04 Owen Dugan , Donato Manuel Jimenez Beneto , Charlotte Loh , Zhuo Chen , Rumen Dangovski , Marin Soljačić

Large language models have demonstrated impressive capabilities across various natural language processing tasks, especially in solving mathematical problems. However, large language models are not good at math theorem proving using formal…

Computation and Language · Computer Science 2025-06-19 Huaiyuan Ying , Zijian Wu , Yihan Geng , Zheng Yuan , Dahua Lin , Kai Chen

Automated math word problem solvers based on neural networks have successfully managed to obtain 70-80\% accuracy in solving arithmetic word problems. However, it has been shown that these solvers may rely on superficial patterns to obtain…

Computation and Language · Computer Science 2023-07-26 Abby Newcomb , Jugal Kalita

While forward reasoning (i.e., find the answer given the question) has been explored extensively in recent literature, backward reasoning is relatively unexplored. We examine the backward reasoning capabilities of LLMs on Math Word Problems…

Computation and Language · Computer Science 2024-07-09 Aniruddha Deb , Neeva Oza , Sarthak Singla , Dinesh Khandelwal , Dinesh Garg , Parag Singla

Transcendental equations requiring iterative numerical solution pervade engineering practice, from fluid mechanics friction factor calculations to orbital position determination. We systematically evaluate whether Large Language Models can…

Artificial Intelligence · Computer Science 2026-01-06 Sai Varun Kodathala , Rakesh Vunnam

Mathematical reasoning remains one of the most challenging domains for large language models (LLMs), requiring not only linguistic understanding but also structured logical deduction and numerical precision. While recent LLMs demonstrate…

Computation and Language · Computer Science 2026-01-27 Mahbub E Sobhani , Md. Faiyaz Abdullah Sayeedi , Tasnim Mohiuddin , Md Mofijul Islam , Swakkhar Shatabda

State-of-the-art language models can match human performance on many tasks, but they still struggle to robustly perform multi-step mathematical reasoning. To diagnose the failures of current models and support research, we introduce GSM8K,…

Large language models (LLMs) are increasingly relied upon to solve complex mathematical word problems. However, being susceptible to hallucination, they may generate inaccurate results when presented with unanswerable questions, raising…

Computation and Language · Computer Science 2024-10-18 Asir Saadat , Tasmia Binte Sogir , Md Taukir Azam Chowdhury , Syem Aziz

Enhancing the mathematical reasoning of large language models (LLMs) demands high-quality training data, yet conventional methods face critical challenges in scalability, cost, and data reliability. To address these limitations, we propose…

Computation and Language · Computer Science 2025-08-27 Sirui Chen , Changxin Tian , Binbin Hu , Kunlong Chen , Ziqi Liu , Zhiqiang Zhang , Jun Zhou