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We introduce Mathador-LM, a new benchmark for evaluating the mathematical reasoning on large language models (LLMs), combining ruleset interpretation, planning, and problem-solving. This benchmark is inspired by the Mathador game, where the…

Computation and Language · Computer Science 2024-10-16 Eldar Kurtic , Amir Moeini , Dan Alistarh

Large language models (LLMs) have been shown to be capable of impressive few-shot generalisation to new tasks. However, they still tend to perform poorly on multi-step logical reasoning problems. Here we carry out a comprehensive evaluation…

Artificial Intelligence · Computer Science 2022-05-20 Antonia Creswell , Murray Shanahan , Irina Higgins

Large language models (LLMs) have substantially advanced machine learning research, including natural language processing, computer vision, data mining, etc., yet they still exhibit critical limitations in explainability, reliability,…

Machine Learning · Computer Science 2025-09-19 Xin Wang , Haoyang Li , Haibo Chen , Zeyang Zhang , Wenwu Zhu

Large language models (LLMs) are increasingly used to meet user information needs, but their effectiveness in dealing with user queries that contain various types of ambiguity remains unknown, ultimately risking user trust and satisfaction.…

Computation and Language · Computer Science 2024-06-04 Tong Zhang , Peixin Qin , Yang Deng , Chen Huang , Wenqiang Lei , Junhong Liu , Dingnan Jin , Hongru Liang , Tat-Seng Chua

Searching for mathematical results remains difficult: most existing tools retrieve entire papers, while mathematicians and theorem-proving agents often seek a specific theorem, lemma, or proposition that answers a query. While semantic…

Information Retrieval · Computer Science 2026-03-10 Luke Alexander , Eric Leonen , Sophie Szeto , Artemii Remizov , Ignacio Tejeda , Jarod Alper , Giovanni Inchiostro , Vasily Ilin

Large reasoning models (e.g., R1, o3) have demonstrated remarkable mathematical problem-solving abilities. However, the high reported accuracy of these advanced models on popular datasets, reliance on purely numerical evaluation and…

Artificial Intelligence · Computer Science 2025-12-10 Dadi Guo , Jiayu Liu , Zhiyuan Fan , Zhitao He , Haoran Li , Yuxin Li , Yumeng Wang , Yi R. Fung

Large language models (LLMs) process and predict sequences containing text to answer questions, and address tasks including document summarization, providing recommendations, writing software and solving quantitative problems. We provide a…

Numerical Analysis · Mathematics 2026-02-02 Ricardo Baptista , Andrew Stuart , Son Tran

Codifying mathematical theories in a proof assistant or computer algebra system is a challenging task, of which the most difficult part is, counterintuitively, structuring definitions. This results in a steep learning curve for new users…

Symbolic Computation · Computer Science 2025-11-19 Alena Gusakov , Peter Nelson , Stephen Watt

Large text data sets, such as publications, websites, and other text-based media, inherit two distinct types of features: (1) the text itself, its information conveyed through semantics, and (2) its relationship to other texts through…

Computation and Language · Computer Science 2026-02-05 Tim Kunt , Annika Buchholz , Imene Khebouri , Thorsten Koch , Ida Litzel , Thi Huong Vu

Large Language Models (LLMs), excel in natural language understanding, but their capability for complex mathematical reasoning with an amalgamation of structured tables and unstructured text is uncertain. This study explores LLMs'…

Computation and Language · Computer Science 2025-10-10 Pragya Srivastava , Manuj Malik , Vivek Gupta , Tanuja Ganu , Dan Roth

This book provides a comprehensive introduction to the foundational concepts of machine learning (ML) and deep learning (DL). It bridges the gap between theoretical mathematics and practical application, focusing on Python as the primary…

Large Language Models (LLMs) have demonstrated strong performance across various natural language processing tasks, yet their proficiency in mathematical reasoning remains a key challenge. Addressing the gap between natural and mathematical…

Artificial Intelligence · Computer Science 2025-02-18 Xuhan Huang , Qingning Shen , Yan Hu , Anningzhe Gao , Benyou Wang

Active learning (AL) accelerates scientific discovery by prioritizing the most informative experiments, but traditional machine learning (ML) models used in AL suffer from cold-start limitations and domain-specific feature engineering,…

Machine Learning · Computer Science 2025-12-05 Hongchen Wang , Rafael Espinosa Castañeda , Jay R. Werber , Yao Fehlis , Edward Kim , Jason Hattrick-Simpers

We present a benchmark test suite and an automated machine learning procedure for evaluating supervised machine learning (ML) models for predicting properties of inorganic bulk materials. The test suite, Matbench, is a set of 13 ML tasks…

Materials Science · Physics 2021-02-23 Alexander Dunn , Qi Wang , Alex Ganose , Daniel Dopp , Anubhav Jain

We introduce a novel task consisting in assigning a proof to a given mathematical statement. The task is designed to improve the processing of research-level mathematical texts. Applying Natural Language Processing (NLP) tools to research…

Computation and Language · Computer Science 2021-02-04 Maximin Coavoux , Shay B. Cohen

The new and growing field of Quantitative Dependency Syntax has emerged at the crossroads between Dependency Syntax and Quantitative Linguistics. One of the main concerns in this field is the statistical patterns of syntactic dependency…

Computation and Language · Computer Science 2022-06-15 Lluís Alemany-Puig , Juan Luis Esteban , Ramon Ferrer-i-Cancho

Efficient and accurate autoformalization methods, which leverage large-scale datasets of extensive natural language mathematical problems to construct formal language datasets, are key to advancing formal mathematical reasoning. In this…

Computation and Language · Computer Science 2025-07-16 Jiaxuan Xie , Chengwu Liu , Ye Yuan , Siqi Li , Zhiping Xiao , Ming Zhang

We announce a tool for mapping derivations of the E theorem prover to Mizar proofs. Our mapping complements earlier work that generates problems for automated theorem provers from Mizar inference checking problems. We describe the tool,…

Logic in Computer Science · Computer Science 2012-05-02 Jesse Alama

As artificial intelligence (AI) gains greater adoption in a wide variety of applications, it has immense potential to contribute to mathematical discovery, by guiding conjecture generation, constructing counterexamples, assisting in…

Artificial Intelligence · Computer Science 2023-10-27 Hassen Saidi , Susmit Jha , Tuhin Sahai

Mathematics formalisation is the task of writing mathematics (i.e., definitions, theorem statements, proofs) in natural language, as found in books and papers, into a formal language that can then be checked for correctness by a program. It…

Computation and Language · Computer Science 2022-11-15 Ayush Agrawal , Siddhartha Gadgil , Navin Goyal , Ashvni Narayanan , Anand Tadipatri
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