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Fact-checking aims to verify the truthfulness of a claim based on the retrieved evidence. Existing methods typically follow a decomposition paradigm, in which a claim is broken down into sub-claims that are individually verified. However,…

Computation and Language · Computer Science 2026-01-26 Mingwei Sun , Qianlong Wang , Ruifeng Xu

The research in AI-based formal mathematical reasoning has shown an unstoppable growth trend. These studies have excelled in mathematical competitions like IMO and have made significant progress. This paper focuses on formal verification,…

Artificial Intelligence · Computer Science 2025-06-10 Jialun Cao , Yaojie Lu , Meiziniu Li , Haoyang Ma , Haokun Li , Mengda He , Cheng Wen , Le Sun , Hongyu Zhang , Shengchao Qin , Shing-Chi Cheung , Cong Tian

Equation discovery is aimed at directly extracting physical laws from data and has emerged as a pivotal research domain. Previous methods based on symbolic mathematics have achieved substantial advancements, but often require the design of…

Machine Learning · Computer Science 2024-07-23 Mengge Du , Yuntian Chen , Zhongzheng Wang , Longfeng Nie , Dongxiao Zhang

Evaluating statement autoformalization, translating natural language mathematics into formal languages like Lean 4, remains a significant challenge, with few metrics, datasets, and standards to robustly measure progress. In this work, we…

Computation and Language · Computer Science 2025-10-30 Auguste Poiroux , Gail Weiss , Viktor Kunčak , Antoine Bosselut

We introduce ProofNet, a benchmark for autoformalization and formal proving of undergraduate-level mathematics. The ProofNet benchmarks consists of 371 examples, each consisting of a formal theorem statement in Lean 3, a natural language…

Computation and Language · Computer Science 2023-02-27 Zhangir Azerbayev , Bartosz Piotrowski , Hailey Schoelkopf , Edward W. Ayers , Dragomir Radev , Jeremy Avigad

Large language models (LLMs) are incredible and versatile tools for text-based tasks that have enabled countless, previously unimaginable, applications. Retrieval models, in contrast, have not yet seen such capable general-purpose models…

Information Retrieval · Computer Science 2025-09-10 Julian Killingback , Hamed Zamani

Recent efforts in fine-tuning language models often rely on automatic data selection, commonly using Nearest Neighbors retrieval from large datasets. However, we theoretically show that this approach tends to select redundant data, limiting…

Machine Learning · Computer Science 2025-02-11 Jonas Hübotter , Sascha Bongni , Ido Hakimi , Andreas Krause

Mathematical reasoning continues to be a critical challenge in large language model (LLM) development with significant interest. However, most of the cutting-edge progress in mathematical reasoning with LLMs has become \emph{closed-source}…

Computation and Language · Computer Science 2024-10-08 Shubham Toshniwal , Wei Du , Ivan Moshkov , Branislav Kisacanin , Alexan Ayrapetyan , Igor Gitman

Natural language explanations play a fundamental role in Natural Language Inference (NLI) by revealing how premises logically entail hypotheses. Recent work has shown that the interaction of large language models (LLMs) with theorem provers…

Computation and Language · Computer Science 2025-06-02 Xin Quan , Marco Valentino , Louise A. Dennis , André Freitas

Recent regulatory initiatives like the European AI Act and relevant voices in the Machine Learning (ML) community stress the need to describe datasets along several key dimensions for trustworthy AI, such as the provenance processes and…

Digital Libraries · Computer Science 2024-05-27 Joan Giner-Miguelez , Abel Gómez , Jordi Cabot

Recent work has shown that directly fine-tuning large language models (LLMs) for dense retrieval yields strong performance, but their substantial parameter counts make them computationally inefficient. While prior studies have revealed…

Information Retrieval · Computer Science 2025-12-24 Yibin Lei , Shwai He , Ang Li , Andrew Yates

Personalization, the ability to tailor a system to individual users, is an essential factor in user experience with natural language processing (NLP) systems. With the emergence of Large Language Models (LLMs), a key question is how to…

Computation and Language · Computer Science 2023-11-01 Chris Richardson , Yao Zhang , Kellen Gillespie , Sudipta Kar , Arshdeep Singh , Zeynab Raeesy , Omar Zia Khan , Abhinav Sethy

Finetuning language models (LMs) is crucial for adapting the models to downstream data and tasks. However, full finetuning is usually costly. Existing work, such as parameter-efficient finetuning (PEFT), often focuses on \textit{how to…

Computation and Language · Computer Science 2025-06-03 Jian Gu , Aldeida Aleti , Chunyang Chen , Hongyu Zhang

Autoformalization is the task of translating natural language materials into machine-verifiable formalisations. Progress in autoformalization research is hindered by the lack of a sizeable dataset consisting of informal-formal pairs…

Computation and Language · Computer Science 2023-11-10 Albert Q. Jiang , Wenda Li , Mateja Jamnik

Large language models (LLMs) can face factual limitations when responding to time-sensitive queries about recent events that arise after their knowledge thresholds in the training corpus. Existing search-augmented approaches fall into two…

Information Retrieval · Computer Science 2025-06-11 Wentao Shi , Yiqing Shen

The demand for synthetic data in mathematical reasoning has increased due to its potential to enhance the mathematical capabilities of large language models (LLMs). However, ensuring the validity of intermediate reasoning steps remains a…

Artificial Intelligence · Computer Science 2026-01-19 Joshua Ong Jun Leang , Giwon Hong , Wenda Li , Shay B. Cohen

Large language models (LLMs) have become increasingly prevalent in our daily lives, leading to an expectation for LLMs to be trustworthy -- - both accurate and well-calibrated (the prediction confidence should align with its ground truth…

Computation and Language · Computer Science 2024-10-04 KaShun Shum , Minrui Xu , Jianshu Zhang , Zixin Chen , Shizhe Diao , Hanze Dong , Jipeng Zhang , Muhammad Omer Raza

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

While Supervised Fine-Tuning (SFT) and Rejection Sampling Fine-Tuning (RFT) are standard for LLM alignment, they either rely on costly expert data or discard valuable negative samples, leading to data inefficiency. To address this, we…

Machine Learning · Computer Science 2026-04-24 Zehua Liu , Shuqi Liu , Tao Zhong , Mingxuan Yuan

Scaling data and model size has been proven effective for boosting the performance of large language models. In addition to training-time scaling, recent studies have revealed that increasing test-time computational resources can further…

Computation and Language · Computer Science 2025-01-22 Yafu Li , Zhilin Wang , Tingchen Fu , Ganqu Cui , Sen Yang , Yu Cheng