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Integrating Large Language Models (LLMs) into complex software systems enables the generation of human-understandable explanations of opaque AI processes, such as automated task planning. However, the quality and reliability of these…

Artificial Intelligence · Computer Science 2026-04-24 Gricel Vázquez , Alexandros Evangelidis , Sepeedeh Shahbeigi , Radu Calinescu , Simos Gerasimou

In natural language, words and phrases themselves imply the semantics. In contrast, the meaning of identifiers in mathematical formulae is undefined. Thus scientists must study the context to decode the meaning. The Mathematical Language…

Digital Libraries · Computer Science 2019-07-02 Robert Pagael , Moritz Schubotz

Large Language Models (LLMs) are increasingly used in math education not only as problem solvers but also as assessors of learners' reasoning. However, it remains unclear whether stronger math problem-solving ability is associated with…

Artificial Intelligence · Computer Science 2026-03-27 Liang Zhang , Yu Fu , Xinyi Jin

We propose a novel system, MathMistake Checker, designed to automate step-by-step mistake finding in mathematical problems with lengthy answers through a two-stage process. The system aims to simplify grading, increase efficiency, and…

Artificial Intelligence · Computer Science 2025-06-04 Tianyang Zhang , Zhuoxuan Jiang , Haotian Zhang , Lin Lin , Shaohua Zhang

Language models can solve complex reasoning tasks better by learning to generate rationales for their predictions. Often these models know how to solve a task but their auto-regressive decoding nature leads to incorrect results if they…

Computation and Language · Computer Science 2024-07-02 Kushal Jain , Moritz Miller , Niket Tandon , Kumar Shridhar

Generating explanation to explain its behavior is an essential capability for a robotic teammate. Explanations help human partners better understand the situation and maintain trust of their teammates. Prior work on robot generating…

Artificial Intelligence · Computer Science 2019-02-05 Yu Zhang , Mehrdad Zakershahrak

In recent years, large language models have greatly improved in their ability to perform complex multi-step reasoning. However, even state-of-the-art models still regularly produce logical mistakes. To train more reliable models, we can…

Multimodal Large Language Models (MLLMs) excel in solving text-based mathematical problems, but they struggle with mathematical diagrams since they are primarily trained on natural scene images. For humans, visual aids generally enhance…

Computation and Language · Computer Science 2024-09-26 Wenwen Zhuang , Xin Huang , Xiantao Zhang , Jin Zeng

Solving algebraic word problems requires executing a series of arithmetic operations---a program---to obtain a final answer. However, since programs can be arbitrarily complicated, inducing them directly from question-answer pairs is a…

Artificial Intelligence · Computer Science 2017-10-24 Wang Ling , Dani Yogatama , Chris Dyer , Phil Blunsom

Data synthesis for training large reasoning models offers a scalable alternative to limited, human-curated datasets, enabling the creation of high-quality data. However, existing approaches face several challenges: (i) indiscriminate…

Artificial Intelligence · Computer Science 2026-05-11 Yongxian Wei , Yilin Zhao , Zixuan Hu , Li Shen , Xinrui Chen , Runxi Cheng , Sinan Du , Hao Yu , Chun Yuan , Dian Li

Prompting large language models has enabled significant recent progress in multi-step reasoning over text. However, when applied to text generation from semi-structured data (e.g., graphs or tables), these methods typically suffer from low…

Computation and Language · Computer Science 2022-12-19 Swarnadeep Saha , Xinyan Velocity Yu , Mohit Bansal , Ramakanth Pasunuru , Asli Celikyilmaz

Despite the advancements in large language models (LLMs) for mathematical reasoning, solving competition-level math problems remains a significant challenge, especially for open-source LLMs without external tools. We introduce the MMIQC…

Computation and Language · Computer Science 2024-12-17 Haoxiong Liu , Yifan Zhang , Yifan Luo , Andrew Chi-Chih Yao

Planning problems where effects of actions are non-deterministic can be modeled as Markov decision processes. Planning problems are usually goal-directed. This paper proposes several techniques for exploiting the goal-directedness to…

Artificial Intelligence · Computer Science 2013-02-08 Nevin Lianwen Zhang , Weihong Zhang

Any act of problem-solving combines prior knowledge, local search, and a third element that is less often discussed: the extraction of information from search to update understanding. I propose a model of mathematical problem-solving as a…

History and Overview · Mathematics 2026-03-11 Asvin G

Traditional supervised fine-tuning (SFT) strategies for sequence-to-sequence tasks often train models to directly generate the target output. Recent work has shown that guiding models with intermediate steps, such as keywords, outlines, or…

Computation and Language · Computer Science 2025-02-19 Senyu Li , Zipeng Sun , Jiayi Wang , Xue Liu , Pontus Stenetorp , Siva Reddy , David Ifeoluwa Adelani

There is a growing concern about typically opaque decision-making with high-performance machine learning algorithms. Providing an explanation of the reasoning process in domain-specific terms can be crucial for adoption in risk-sensitive…

Computer Vision and Pattern Recognition · Computer Science 2022-11-28 Aditya Chattopadhyay , Stewart Slocum , Benjamin D. Haeffele , Rene Vidal , Donald Geman

Prior work on generating explanations in a planning and decision-making context has focused on providing the rationale behind an AI agent's decision making. While these methods provide the right explanations from the explainer's…

Artificial Intelligence · Computer Science 2020-10-20 Mehrdad Zakershahrak , Shashank Rao Marpally , Akshay Sharma , Ze Gong , Yu Zhang

Augmenting the multi-step reasoning abilities of Large Language Models (LLMs) has been a persistent challenge. Recently, verification has shown promise in improving solution consistency by evaluating generated outputs. However, current…

Machine Learning · Computer Science 2025-03-04 Shengyu Feng , Xiang Kong , Shuang Ma , Aonan Zhang , Dong Yin , Chong Wang , Ruoming Pang , Yiming Yang

In this paper, we consider planning in stochastic shortest path (SSP) problems, a subclass of Markov Decision Problems (MDP). We focus on medium-size problems whose state space can be fully enumerated. This problem has numerous important…

Artificial Intelligence · Computer Science 2012-06-18 Alejandro Isaza , Csaba Szepesvari , Vadim Bulitko , Russell Greiner

Rationalization is to employ a generator and a predictor to construct a self-explaining NLP model in which the generator selects a subset of human-intelligible pieces of the input text to the following predictor. However, rationalization…

Machine Learning · Computer Science 2023-07-25 Wei Liu , Haozhao Wang , Jun Wang , Ruixuan Li , Xinyang Li , Yuankai Zhang , Yang Qiu