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Mathematical reasoning is a challenging task for large language models (LLMs), while the scaling relationship of it with respect to LLM capacity is under-explored. In this paper, we investigate how the pre-training loss, supervised data…

Computation and Language · Computer Science 2023-09-14 Zheng Yuan , Hongyi Yuan , Chengpeng Li , Guanting Dong , Keming Lu , Chuanqi Tan , Chang Zhou , Jingren Zhou

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

Multimodal large language models (MLLMs) have made rapid progress, yet their reasoning ability often lags behind strong text-only LLMs. Bridging this gap typically requires large-scale multimodal reasoning data or reinforcement learning,…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Chao Huang , Zeliang Zhang , Jiang Liu , Ximeng Sun , Jialian Wu , Xiaodong Yu , Ze Wang , Chenliang Xu , Emad Barsoum , Zicheng Liu

Reinforcement learning (RL) has become a key technique for enhancing the reasoning abilities of large language models (LLMs), with policy-gradient algorithms dominating the post-training stage because of their efficiency and effectiveness.…

Artificial Intelligence · Computer Science 2025-08-08 Chang Tian , Matthew B. Blaschko , Mingzhe Xing , Xiuxing Li , Yinliang Yue , Marie-Francine Moens

Supervised fine-tuning (SFT) is a standard approach to adapting large language models (LLMs) to new domains. In this work, we improve the statistical efficiency of SFT by selecting an informative subset of training examples. Specifically,…

Machine Learning · Computer Science 2025-05-22 Rohan Deb , Kiran Thekumparampil , Kousha Kalantari , Gaurush Hiranandani , Shoham Sabach , Branislav Kveton

Large language models (LLMs) excel at complex tasks thanks to advances in their reasoning abilities. However, existing methods overlook the trade-off between reasoning effectiveness and efficiency, often encouraging unnecessarily long…

Machine Learning · Computer Science 2025-10-16 Jingyao Wang , Wenwen Qiang , Zeen Song , Changwen Zheng , Hui Xiong

Reinforcement learning with Verifiable Rewards (RLVR) has emerged as a powerful paradigm for eliciting reasoning capabilities in large language models, particularly in mathematics and coding. While recent efforts have extended this paradigm…

Computation and Language · Computer Science 2026-03-13 Hanxu Hu , Yuxuan Wang , Maggie Huan , Jannis Vamvas , Yinya Huang , Zhijiang Guo , Rico Sennrich

Reinforcement learning (RL) for large language models is an energy-intensive endeavor: training can be unstable, and the policy may gradually drift away from its pretrained weights. We present \emph{RLEP}\, -- \,Reinforcement Learning with…

Computation and Language · Computer Science 2025-07-11 Hongzhi Zhang , Jia Fu , Jingyuan Zhang , Kai Fu , Qi Wang , Fuzheng Zhang , Guorui Zhou

The rapid advancement of large language models (LLMs) has significantly advanced the capabilities of artificial intelligence across various domains. However, their massive scale and high computational costs render them unsuitable for direct…

Computer Vision and Pattern Recognition · Computer Science 2025-10-01 Miao Rang , Zhenni Bi , Hang Zhou , Hanting Chen , An Xiao , Tianyu Guo , Kai Han , Xinghao Chen , Yunhe Wang

In recent years, large language models (LLMs) have demonstrated significant potential in complex reasoning tasks like mathematical problem-solving. However, existing research predominantly relies on reinforcement learning (RL) frameworks…

Machine Learning · Computer Science 2026-01-12 ShaoZhen Liu , Xinting Huang , Houwen Peng , Xin Chen , Xinyang Song , Qi Li , Zhenan Sun

Large Language Models (LLMs) have achieved significant advances in reasoning tasks. A key approach is tree-based search with verifiers, which expand candidate reasoning paths and use reward models to guide pruning and selection. Although…

Artificial Intelligence · Computer Science 2025-10-01 Yingqian Cui , Zhenwei Dai , Pengfei He , Bing He , Hui Liu , Xianfeng Tang , Jingying Zeng , Suhang Wang , Yue Xing , Jiliang Tang , Benoit Dumoulin

Recently, two-stage fine-tuning strategies, e.g., acquiring essential driving knowledge through supervised fine-tuning (SFT) and further enhancing decision-making and planning via reinforcement fine-tuning (RFT), have shown strong potential…

Computer Vision and Pattern Recognition · Computer Science 2025-12-03 Songyan Zhang , Wenhui Huang , Zhan Chen , Chua Jiahao Collister , Qihang Huang , Chen Lv

The entry of large language models (LLMs) into research and commercial spaces has led to a trend of ever-larger models, with initial promises of generalisability, followed by a widespread desire to downsize and create specialised models…

Computation and Language · Computer Science 2024-02-19 Niall Taylor , Upamanyu Ghose , Omid Rohanian , Mohammadmahdi Nouriborji , Andrey Kormilitzin , David Clifton , Alejo Nevado-Holgado

Instruction fine-tuning (IFT) elicits instruction following capabilities and steers the behavior of large language models (LLMs) via supervised learning. However, existing models trained on open-source IFT datasets only have the ability to…

Computation and Language · Computer Science 2024-09-24 Kuan Wang , Alexander Bukharin , Haoming Jiang , Qingyu Yin , Zhengyang Wang , Tuo Zhao , Jingbo Shang , Chao Zhang , Bing Yin , Xian Li , Jianshu Chen , Shiyang Li

Despite the strong performance of Large Language Models (LLMs) on complex instruction-following tasks, precise control of output length remains a persistent challenge. Existing methods primarily attempt to enforce length constraints by…

Computation and Language · Computer Science 2026-03-23 Wei Zhang , Lintong Du , Yuanhe Zhang , Zhenhong Zhou , Kun Wang , Li Sun , Sen Su

Conventionally, supervised fine-tuning (SFT) is treated as a simple imitation learning process that only trains a policy to imitate expert behavior on demonstration datasets. In this work, we challenge this view by establishing a…

Machine Learning · Computer Science 2025-10-06 Jiangnan Li , Thuy-Trang Vu , Ehsan Abbasnejad , Gholamreza Haffari

Many existing studies have achieved significant improvements in the reasoning capabilities of large language models (LLMs) through reinforcement learning with verifiable rewards (RLVR), while the enhancement of reasoning abilities in small…

Machine Learning · Computer Science 2025-08-26 Zhong Guan , Likang Wu , Hongke Zhao , Jiahui Wang , Le Wu

Post-training with Reinforcement Learning (RL) has substantially improved reasoning in Large Language Models (LLMs) via test-time scaling. However, extending this paradigm to Multimodal LLMs (MLLMs) through verbose rationales yields limited…

Computation and Language · Computer Science 2026-02-16 Bangzheng Li , Jianmo Ni , Chen Qu , Ian Miao , Liu Yang , Xingyu Fu , Muhao Chen , Derek Zhiyuan Cheng

Large Language Models (LLMs) often produce plausible but poorly-calibrated answers, limiting their reliability on reasoning-intensive tasks. We present Reinforcement Learning from Self-Feedback (RLSF), a post-training stage that uses the…

Computation and Language · Computer Science 2025-07-30 Carel van Niekerk , Renato Vukovic , Benjamin Matthias Ruppik , Hsien-chin Lin , Milica Gašić

The large language model (LLM) is typically integrated into the mainstream optimization protocol. No work has questioned whether maintaining the model integrity is \textit{indispensable} for promising performance. In this work, we introduce…

Computation and Language · Computer Science 2026-03-17 Mingyuan Zhang , Yue Bai , Huan Wang , Yizhou Wang , Qihua Dong , Yitian Zhang , Yun Fu