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Effective code generation with language models hinges on two critical factors: accurately understanding the intent of the prompt and generating code that applies algorithmic reasoning to produce correct solutions capable of passing diverse…

Artificial Intelligence · Computer Science 2025-10-21 Amir Jalilifard , Anderson de Rezende Rocha , Marcos Medeiros Raimundo

Recent advances in large language models (LLMs) have made reasoning a central benchmark for evaluating intelligence. While prior surveys focus on efficiency by examining how to shorten reasoning chains or reduce computation, this view…

Artificial Intelligence · Computer Science 2026-04-01 Chao Wu , Baoheng Li , Mingchen Gao , Yu Tian , Zhenyi Wang

Assisting LLMs with code generation improved their performance on mathematical reasoning tasks. However, the evaluation of code-assisted LLMs is generally restricted to execution correctness, lacking a rigorous evaluation of their generated…

Computation and Language · Computer Science 2025-07-23 Zena Al-Khalili , Nick Howell , Dietrich Klakow

Agentic retrieval-augmented generation (RAG) formulates question answering as a multi-step interaction between reasoning and information retrieval, and has recently been advanced by reinforcement learning (RL) with outcome-based…

Computation and Language · Computer Science 2026-01-13 Tianhua Zhang , Kun Li , Junan Li , Yunxiang Li , Hongyin Luo , Xixin Wu , James Glass , Helen Meng

Many of the recent capabilities demonstrated by Large Language Models (LLMs) arise primarily from their ability to exploit contextual information. In this paper, we explore ways to improve reasoning capabilities of LLMs through (1)…

Large language models (LLMs) have demonstrated strong code generation capabilities, yet the runtime performance of generated code is not guaranteed, and there have been few attempts to train LLMs using runtime performance as a reward in the…

Machine Learning · Computer Science 2026-02-13 Ryo Mikasa , Shun-ichiro Hayashi , Daichi Mukunoki , Tetsuya Hoshino , Takahiro Katagiri

Answer verification identifies correct solutions among candidates generated by large language models (LLMs). Current approaches typically train verifier models by labeling solutions as correct or incorrect based solely on whether the final…

Computation and Language · Computer Science 2024-10-28 Akira Kawabata , Saku Sugawara

Mathematical reasoning is a key benchmark for large language models. Reinforcement learning is a standard post-training mechanism for improving the reasoning capabilities of large language models, yet performance remains sensitive to the…

Computation and Language · Computer Science 2026-05-11 Arash Ahmadi , Sarah Sharif , Yaser , Banad

In current Large Language Models we can trust the production of smoothly flowing prose on the basis of the principles of machine learning. However, there is no comparably principled basis to justify trust in the content of the text…

Artificial Intelligence · Computer Science 2026-05-15 Leslie G. Valiant

Process Reward Models (PRMs) have emerged as a powerful tool for providing step-level feedback when evaluating the reasoning of Large Language Models (LLMs), which frequently produce chains of thought (CoTs) containing errors even when the…

Computation and Language · Computer Science 2026-04-21 Raffaele Pisano , Roberto Navigli

We study self-rewarding reasoning large language models (LLMs), which can simultaneously generate step-by-step reasoning and evaluate the correctness of their outputs during the inference time-without external feedback. This integrated…

Artificial Intelligence · Computer Science 2025-02-28 Wei Xiong , Hanning Zhang , Chenlu Ye , Lichang Chen , Nan Jiang , Tong Zhang

Large language models (LLMs) have achieved significant progress in solving complex reasoning tasks by Reinforcement Learning with Verifiable Rewards (RLVR). This advancement is also inseparable from the oversight automated by reliable…

Computation and Language · Computer Science 2025-12-12 Zijian Wu , Lingkai Kong , Wenwei Zhang , Songyang Gao , Yuzhe Gu , Zhongrui Cai , Tianyou Ma , Yuhong Liu , Zhi Wang , Runyuan Ma , Guangyu Wang , Wei Li , Conghui He , Dahua Lin , Kai Chen

Being prompted to engage in reasoning has emerged as a core technique for using large language models (LLMs), deploying additional inference-time compute to improve task performance. However, as LLMs increase in both size and adoption,…

Computation and Language · Computer Science 2025-06-25 C. Nicolò De Sabbata , Theodore R. Sumers , Badr AlKhamissi , Antoine Bosselut , Thomas L. Griffiths

Large Language Models (LLMs) have shown remarkable reasoning capabilities through Reinforcement Learning with Verifiable Rewards (RLVR) methods. However, a key limitation of existing approaches is that rewards defined at the full trajectory…

Machine Learning · Computer Science 2025-09-30 Zhicheng Yang , Zhijiang Guo , Yinya Huang , Xiaodan Liang , Yiwei Wang , Jing Tang

Large language models (LLMs) are increasingly used for high-stakes decision-making, yet existing approaches struggle to reconcile scalability, interpretability, and reproducibility. Black-box models obscure their reasoning, while recent…

Mathematical programming -- the task of expressing operations and decision-making problems in precise mathematical language -- is fundamental across domains, yet remains a skill-intensive process requiring operations research expertise.…

Sequence prediction models can be learned from example sequences with a variety of training algorithms. Maximum likelihood learning is simple and efficient, yet can suffer from compounding error at test time. Reinforcement learning such as…

Machine Learning · Computer Science 2019-07-02 Bowen Tan , Zhiting Hu , Zichao Yang , Ruslan Salakhutdinov , Eric Xing

Current techniques for post-training Large Language Models (LLMs) rely either on costly human supervision or on external verifiers to boost performance on tasks such as mathematical reasoning and code generation. However, as LLMs improve…

Computation and Language · Computer Science 2026-01-21 Mukesh Ghimire , Aosong Feng , Liwen You , Youzhi Luo , Fang Liu , Xuan Zhu

Reward models are critical for improving large language models (LLMs), particularly in reinforcement learning from human feedback (RLHF) or inference-time verification. Current reward modeling typically relies on scores of overall responses…

Machine Learning · Computer Science 2025-06-17 Chaoyang Zhou , Shunyu Liu , Zengmao Wang , Di Wang , Rong-Cheng Tu , Bo Du , Dacheng Tao

The emergence of large language models and their applications as AI agents have significantly advanced state-of-the-art code generation benchmarks, transforming modern software engineering tasks. However, even with test-time computed…

Artificial Intelligence · Computer Science 2025-03-25 Hao-Yuan Chen , Cheng-Pong Huang , Jui-Ming Yao