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Recent RL methods have substantially improved the reasoning abilities of LLMs. Existing reward designs mainly follow two paradigms: (1) Reinforcement learning with verifiable rewards (RLVR) derives outcome signals from executable checks or…

Computation and Language · Computer Science 2026-05-25 Sirui Chen , Lei Xu , Yuying Zhao , Yutian Chen , Yu Wang , Beier Zhu , Hanwang Zhang , Shengjie Zhao , Chaochao Lu

Commonly, AI or machine learning (ML) models are evaluated on benchmark datasets. This practice supports innovative methodological research, but benchmark performance can be poorly correlated with performance in real-world applications -- a…

Machine Learning · Computer Science 2024-06-18 Olivier Binette , Jerome P. Reiter

Evaluating mathematical reasoning in LLMs is constrained by limited benchmark sizes and inherent model stochasticity, yielding high-variance accuracy estimates and unstable rankings across platforms. On difficult problems, an LLM may fail…

Machine Learning · Computer Science 2026-02-04 Zihan Dong , Zhixian Zhang , Yang Zhou , Can Jin , Ruijia Wu , Linjun Zhang

Synthetic verification techniques such as generating test cases and reward modelling are common ways to enhance the coding capabilities of large language models (LLM) beyond predefined tests. Additionally, code verification has recently…

Artificial Intelligence · Computer Science 2025-07-31 Aleksander Ficek , Somshubra Majumdar , Vahid Noroozi , Boris Ginsburg

Recent advances in Vision-Language Models (VLMs) have achieved impressive progress in multimodal mathematical reasoning. Yet, how much visual information truly contributes to reasoning remains unclear. Existing benchmarks report strong…

Computer Vision and Pattern Recognition · Computer Science 2025-12-01 Yuandong Wang , Yao Cui , Yuxin Zhao , Zhen Yang , Yangfu Zhu , Zhenzhou Shao

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

Multimodal Large Language Models (MLLMs) have demonstrated remarkable capabilities in visual mathematical reasoning across various existing benchmarks. However, these benchmarks are predominantly based on clean or processed multimodal…

Computer Vision and Pattern Recognition · Computer Science 2025-08-11 Jun Feng , Zixin Wang , Zhentao Zhang , Yue Guo , Zhihan Zhou , Xiuyi Chen , Zhenyang Li , Dawei Yin

Large Language Models (LLMs) have transformed AI but often struggle with tasks that require domain-specific reasoning and logical alignment. Traditional fine-tuning methods do not leverage the vast amount of symbolic domain-knowledge…

Computation and Language · Computer Science 2026-02-27 Piyush Jha , Prithwish Jana , Pranavkrishna Suresh , Arnav Arora , Vijay Ganesh

Large Language Models (LLMs) are increasingly being used in education, yet their correctness alone does not capture the quality, reliability, or pedagogical validity of their problem-solving behavior, especially in mathematics, where…

Computers and Society · Computer Science 2025-10-22 Sagnik Dakshit , Sushmita Sinha Roy

Feature transformation enhances data representation by deriving new features from the original data. Generative AI offers potential for this task, but faces challenges in stable generation (consistent outputs) and valid generation…

Machine Learning · Computer Science 2025-06-12 Xinyuan Wang , Haoyue Bai , Nanxu Gong , Wangyang Ying , Sixun Dong , Xiquan Cui , Yanjie Fu

Multimodal Large Language Models (MLLMs) have shown promising capabilities in mathematical reasoning within visual contexts across various datasets. However, most existing multimodal math benchmarks are limited to single-visual contexts,…

Artificial Intelligence · Computer Science 2025-08-04 Peijie Wang , Zhong-Zhi Li , Fei Yin , Xin Yang , Dekang Ran , Cheng-Lin Liu

Visual reasoning is central to human cognition, enabling individuals to interpret and abstractly understand their environment. Although recent Multimodal Large Language Models (MLLMs) have demonstrated impressive performance across language…

Computer Vision and Pattern Recognition · Computer Science 2025-03-17 Jing Bi , Junjia Guo , Susan Liang , Guangyu Sun , Luchuan Song , Yunlong Tang , Jinxi He , Jiarui Wu , Ali Vosoughi , Chen Chen , Chenliang Xu

While existing benchmarks probe the reasoning abilities of large language models (LLMs) across diverse domains, they predominantly assess passive reasoning, providing models with all the information needed to reach a solution. By contrast,…

Machine Learning · Computer Science 2025-06-11 Zhanke Zhou , Xiao Feng , Zhaocheng Zhu , Jiangchao Yao , Sanmi Koyejo , Bo Han

Despite the syntactic fluency of Large Language Models (LLMs), ensuring their logical correctness in high-stakes domains remains a fundamental challenge. We present a neurosymbolic framework that combines LLMs with SMT solvers to produce…

Computation and Language · Computer Science 2026-05-05 Vikash Singh , Darion Cassel , Nathaniel Weir , Nick Feng , Sam Bayless

While reinforcement learning (RL) demonstrated remarkable success in enhancing the reasoning capabilities of language models, the training dynamics of RL in LLMs remain unclear. In this work, we provide an explanation of the RL training…

Machine Learning · Computer Science 2025-09-30 Xingwu Chen , Tianle Li , Difan Zou

While Large Language Models (LLMs) have demonstrated strong math reasoning abilities through Reinforcement Learning with *Verifiable Rewards* (RLVR), many advanced mathematical problems are proof-based, with no guaranteed way to determine…

Computation and Language · Computer Science 2026-02-20 Haotong Yang , Zitong Wang , Shijia Kang , Siqi Yang , Wenkai Yu , Xu Niu , Yike Sun , Yi Hu , Zhouchen Lin , Muhan Zhang

Large language models (LLMs) are increasingly used for tasks that implicitly reduce to Boolean satisfiability (SAT), yet their reasoning ability on SAT remains unclear. We present a systematic study of LLMs on 2-SAT and 3-SAT, together with…

Artificial Intelligence · Computer Science 2026-05-28 Leizhen Zhang , Shuhan Chen , Sheng Chen

Reasoning-oriented large language models (RLMs) achieve strong gains on tasks such as mathematics and coding by generating explicit intermediate reasoning. However, their impact on machine translation (MT) remains underexplored. We…

Computation and Language · Computer Science 2026-02-17 Sara Rajaee , Sebastian Vincent , Alexandre Berard , Marzieh Fadaee , Kelly Marchisio , Tom Kocmi

\textbf{RE}trieval-\textbf{A}ugmented \textbf{L}LM-based \textbf{M}achine \textbf{T}ranslation (REAL-MT) shows promise for knowledge-intensive tasks like idiomatic translation, but its reliability under noisy retrieval contexts remains…

Computation and Language · Computer Science 2025-11-18 Yanming Sun , Runzhe Zhan , Chi Seng Cheang , Han Wu , Xuebo Liu , Yuyao Niu , Fengying Ye , Kaixin Lan , Lidia S. Chao , Derek F. Wong

Large language models (LLMs) have revolutionized many areas (e.g. natural language processing, software engineering, etc.) by achieving state-of-the-art performance on extensive downstream tasks. Aiming to achieve robust and general…

Artificial Intelligence · Computer Science 2024-01-18 Zhiming Li , Yushi Cao , Xiufeng Xu , Junzhe Jiang , Xu Liu , Yon Shin Teo , Shang-wei Lin , Yang Liu