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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

Compositional generalization refers to a model's capability to generalize to newly composed input data based on the data components observed during training. It has triggered a series of compositional generalization analysis on different…

Computation and Language · Computer Science 2022-09-07 Yunshi Lan , Lei Wang , Jing Jiang , Ee-Peng Lim

Optimization of Mixed-Integer Non-Linear Programming (MINLP) supports important decisions in applications such as Chemical Process Engineering. But current solvers have limited ability for deductive reasoning or the use of domain-specific…

Artificial Intelligence · Computer Science 2017-02-07 Andrea Callia D'Iddio , Michael Huth

It's hard for neural MWP solvers to deal with tiny local variances. In MWP task, some local changes conserve the original semantic while the others may totally change the underlying logic. Currently, existing datasets for MWP task contain…

Computation and Language · Computer Science 2022-04-19 Ailisi Li , Jiaqing Liang , Yanghua Xiao

Solutions to math word problems (MWPs) with step-by-step explanations are valuable, especially in education, to help students better comprehend problem-solving strategies. Most existing approaches only focus on obtaining the final correct…

Computation and Language · Computer Science 2023-06-02 Mengxue Zhang , Zichao Wang , Zhichao Yang , Weiqi Feng , Andrew Lan

Large language models (LLMs) are known to struggle with complicated reasoning tasks such as math word problems (MWPs). In this paper, we present how analogy from similarly structured questions can improve LLMs' problem-solving capabilities…

Computation and Language · Computer Science 2024-11-26 Xiaocong Yang , Jiacheng Lin , Ziqi Wang , Chengxiang Zhai

Complexity analysis offers assurance of program's runtime behavior, but large classes of programs remain unanalyzable by existing automated techniques.The mwp-flow analysis sidesteps many difficulties shared by existing approaches, and…

Programming Languages · Computer Science 2023-03-21 Clément Aubert , Thomas Rubiano , Neea Rusch , Thomas Seiller

Visuals are valuable tools for teaching math word problems (MWPs), helping young learners interpret textual descriptions into mathematical expressions before solving them. However, creating such visuals is labor-intensive and there is a…

Computation and Language · Computer Science 2025-06-05 Junling Wang , Anna Rutkiewicz , April Yi Wang , Mrinmaya Sachan

Existing MWP solvers employ sequence or binary tree to present the solution expression and decode it from given problem description. However, such structures fail to handle the variants that can be derived via mathematical manipulation,…

Computation and Language · Computer Science 2023-10-31 Yi Bin , Mengqun Han , Wenhao Shi , Lei Wang , Yang Yang , See-Kiong Ng , Heng Tao Shen

Numerous real-world decision-making problems can be formulated and solved using Mixed-Integer Linear Programming (MILP) models. However, the transformation of these problems into MILP models heavily relies on expertise in operations…

Optimization and Control · Mathematics 2023-11-28 Qingyang Li , Lele Zhang , Vicky Mak-Hau

Numerous theorems, such as those in geometry, are often presented in multimodal forms (e.g., diagrams). Humans benefit from visual reasoning in such settings, using diagrams to gain intuition and guide the proof process. Modern Multimodal…

Computation and Language · Computer Science 2025-06-09 Zhitao He , Zongwei Lyu , Dazhong Chen , Dadi Guo , Yi R. Fung

Large-scale pre-trained language models (PLMs) bring new opportunities to challenging problems, especially those that need high-level intelligence, such as the math word problem (MWPs). However, directly applying existing PLMs to MWPs can…

Computation and Language · Computer Science 2024-01-01 Xinyu Zhu , Junjie Wang , Lin Zhang , Yuxiang Zhang , Ruyi Gan , Jiaxing Zhang , Yujiu Yang

Various robustness evaluation methodologies from different perspectives have been proposed for different natural language processing (NLP) tasks. These methods have often focused on either universal or task-specific generalization…

This paper investigates the question of what makes math word problems (MWPs) in English challenging for large language models (LLMs). We conduct an in-depth analysis of the key linguistic and mathematical characteristics of MWPs. In…

Computation and Language · Computer Science 2024-04-02 KV Aditya Srivatsa , Ekaterina Kochmar

Recent advancements in large language models (LLMs) have greatly improved code generation, specifically at the function level. For instance, GPT-4o has achieved a 91.0\% pass rate on HumanEval. However, this draws into question the adequacy…

Computation and Language · Computer Science 2025-08-19 Jianbo Dai , Jianqiao Lu , Yunlong Feng , Guangtao Zeng , Rongju Ruan , Ming Cheng , Dong Huang , Haochen Tan , Zhijiang Guo

Solving algebraic word problems (AWPs) has recently emerged as an important natural language processing task. Recently, large language models (LLMs) have demonstrated powerful mathematical capabilities, and the Chain-of-Thought technique,…

Artificial Intelligence · Computer Science 2025-07-02 Yunze Lin

Optimization problems are prevalent across various scenarios. Formulating and then solving optimization problems described by natural language often requires highly specialized human expertise, which could block the widespread application…

Artificial Intelligence · Computer Science 2025-03-04 Caigao Jiang , Xiang Shu , Hong Qian , Xingyu Lu , Jun Zhou , Aimin Zhou , Yang Yu

Prompt-learning has become a new paradigm in modern natural language processing, which directly adapts pre-trained language models (PLMs) to $cloze$-style prediction, autoregressive modeling, or sequence to sequence generation, resulting in…

Computation and Language · Computer Science 2021-11-04 Ning Ding , Shengding Hu , Weilin Zhao , Yulin Chen , Zhiyuan Liu , Hai-Tao Zheng , Maosong Sun

Automatically generating high-quality step-by-step solutions to math word problems has many applications in education. Recently, combining large language models (LLMs) with external tools to perform complex reasoning and calculation has…

Computation and Language · Computer Science 2023-04-19 Joy He-Yueya , Gabriel Poesia , Rose E. Wang , Noah D. Goodman

Effective evaluation of multi-hop tool use is critical for analyzing the understanding, reasoning, and function-calling capabilities of large language models (LLMs). However, progress has been hindered by a lack of reliable evaluation…

Computation and Language · Computer Science 2025-05-21 Junjie Ye , Zhengyin Du , Xuesong Yao , Weijian Lin , Yufei Xu , Zehui Chen , Zaiyuan Wang , Sining Zhu , Zhiheng Xi , Siyu Yuan , Tao Gui , Qi Zhang , Xuanjing Huang , Jiecao Chen