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Reinforcement learning with verifiable rewards (RLVR) has become a dominant paradigm for improving reasoning in large language models (LLMs), yet the underlying geometry of the resulting parameter trajectories remains underexplored. In this…

Machine Learning · Computer Science 2026-05-21 Zhepei Wei , Xinyu Zhu , Wei-Lin Chen , Chengsong Huang , Jiaxin Huang , Yu Meng

Reinforcement learning with verifiable rewards (RLVR) has driven significant performance gains in reasoning-oriented large language models (LLMs), yet its internal training dynamics remain largely a black box. In this work, we perform a…

Machine Learning · Computer Science 2026-05-22 Tianle Wang , Jiayu Liu , Zhongyuan Wu , Shenghao Jin , Wei Chen , Hao Xu , Ning Miao

Recent extensive research has demonstrated that the enhanced reasoning capabilities acquired by models through Reinforcement Learning with Verifiable Rewards (RLVR) are primarily concentrated within the rank-1 components. Predicated on this…

Machine Learning · Computer Science 2026-05-08 Hao Ye , Jisheng Dang , Junfeng Fang , Bimei Wang , Yizhou Zhang , Ning Lv , Wencan Zhang , Hong Peng , Bin Hu , Tat-Seng Chua

The growing disparity between the exponential scaling of computational resources and the finite growth of high-quality text data now constrains conventional scaling approaches for large language models (LLMs). To address this challenge, we…

Parameter-efficient methods like LoRA have revolutionised large language model (LLM) fine-tuning. ReLoRA extends this idea to pretraining by repeatedly merging and reinitialising low-rank adapters, increasing cumulative rank while keeping…

Computation and Language · Computer Science 2025-10-03 Yuval Weiss , David Demitri Africa , Paula Buttery , Richard Diehl Martinez

Despite the dominance and effectiveness of scaling, resulting in large networks with hundreds of billions of parameters, the necessity to train overparameterized models remains poorly understood, while training costs grow exponentially. In…

Computation and Language · Computer Science 2023-12-12 Vladislav Lialin , Namrata Shivagunde , Sherin Muckatira , Anna Rumshisky

Recent advances in reasoning capabilities of large language models (LLMs) are largely driven by reinforcement learning (RL), yet the underlying parameter dynamics during RL training remain poorly understood. This work identifies two…

Machine Learning · Computer Science 2026-02-24 Yuchen Cai , Ding Cao , Xin Xu , Zijun Yao , Yuqing Huang , Zhenyu Tan , Benyi Zhang , Guangzhong Sun , Guiquan Liu , Junfeng Fang

Low-rank Adaptation (LoRA) has gained popularity as a fine-tuning approach for Large Language Models (LLMs) due to its low resource requirements and good performance. While a plethora of work has investigated improving LoRA serving…

Machine Learning · Computer Science 2025-08-06 Minghao Yan , Zhuang Wang , Zhen Jia , Shivaram Venkataraman , Yida Wang

Fueled by their remarkable ability to tackle diverse tasks across multiple domains, large language models (LLMs) have grown at an unprecedented rate, with some recent models containing trillions of parameters. This growth is accompanied by…

Machine Learning · Computer Science 2025-05-30 Athanasios Glentis , Jiaxiang Li , Qiulin Shang , Andi Han , Ioannis Tsaknakis , Quan Wei , Mingyi Hong

Fine-tuning Large Language Models (LLMs) typically relies on large quantities of high-quality annotated data, or questions with well-defined ground truth answers in the case of Reinforcement Learning with Verifiable Rewards (RLVR). While…

Artificial Intelligence · Computer Science 2026-04-21 Justin Bauer , Thomas Walshe , Derek Pham , Harit Vishwakarma , Armin Parchami , Frederic Sala , Paroma Varma

Large Language Models (LLMs) have become indispensable in real-world applications. However, their widespread adoption raises significant safety concerns, particularly in responding to socially harmful questions. Despite substantial efforts…

Machine Learning · Computer Science 2025-07-29 Gabriel J. Perin , Runjin Chen , Xuxi Chen , Nina S. T. Hirata , Zhangyang Wang , Junyuan Hong

Reinforcement Learning with Verifiable Rewards (RLVR) improves LLM reasoning, yet growing evidence indicates an exploration ceiling: it often reweights existing solution traces rather than discovering new strategies, limiting gains under…

Machine Learning · Computer Science 2026-03-03 Bizhe Bai , Xinyue Wang , Peng Ye , Tao Chen

Large Language Models (LLMs) increasingly rely on reinforcement learning with verifiable rewards (RLVR) to elicit reliable chain-of-thought reasoning. However, the training process remains bottlenecked by the computationally expensive…

Machine Learning · Computer Science 2026-01-13 Bingshuai Liu , Ante Wang , Zijun Min , Liang Yao , Haibo Zhang , Yang Liu , Xu Han , Peng Li , Anxiang Zeng , Jinsong Su

Reinforcement Learning with Verifiable Rewards~(RLVR) has become a prominent paradigm to enhance the capabilities (i.e.\ long-context) of Large Language Models~(LLMs). However, it often relies on gold-standard answers or explicit evaluation…

Computation and Language · Computer Science 2026-03-03 Yao Xiao , Lei Wang , Yue Deng , Guanzheng Chen , Ziqi Jin , Jung-jae Kim , Xiaoli Li , Roy Ka-wei Lee , Lidong Bing

Given the high computational cost of preference alignment training of large language models (LLMs), exploring efficient methods to reduce the training overhead remains an important and compelling research problem. Motivated by the…

Machine Learning · Computer Science 2025-06-02 Chujie Zheng , Ziqi Wang , Heng Ji , Minlie Huang , Nanyun Peng

Reinforcement learning with verifiable rewards (RLVR) has emerged as a powerful paradigm for enhancing the reasoning capabilities of large language models (LLMs). Unlike traditional RL approaches, RLVR leverages rule-based feedback to guide…

Computation and Language · Computer Science 2025-08-19 Jia Deng , Jie Chen , Zhipeng Chen , Daixuan Cheng , Fei Bai , Beichen Zhang , Yinqian Min , Yanzipeng Gao , Wayne Xin Zhao , Ji-Rong Wen

Vision-Language-Action (VLA) models have recently emerged as a powerful paradigm for robotic manipulation. Despite substantial progress enabled by large-scale pretraining and supervised fine-tuning (SFT), these models face two fundamental…

Reinforcement learning with verifiable rewards (RLVR) has recently advanced the reasoning capabilities of large language models (LLMs). While prior work has emphasized algorithmic design, data curation, and reward shaping, we investigate…

Machine Learning · Computer Science 2025-07-10 Xinjie Chen , Minpeng Liao , Guoxin Chen , Chengxi Li , Biao Fu , Kai Fan , Xinggao Liu

Multimodal Reward Models (MRMs) play a crucial role in enhancing the performance of Multimodal Large Language Models (MLLMs). While recent advancements have primarily focused on improving the model structure and training data of MRMs, there…

Computer Vision and Pattern Recognition · Computer Science 2025-05-12 Yi-Fan Zhang , Xingyu Lu , Xiao Hu , Chaoyou Fu , Bin Wen , Tianke Zhang , Changyi Liu , Kaiyu Jiang , Kaibing Chen , Kaiyu Tang , Haojie Ding , Jiankang Chen , Fan Yang , Zhang Zhang , Tingting Gao , Liang Wang

Fine-tuning Large Language Models (LLMs) and storing them for each downstream task or domain is impractical because of the massive model size (e.g., 350GB in GPT-3). Current literature, such as LoRA, showcases the potential of low-rank…

Computation and Language · Computer Science 2024-05-01 Soroush Abbasi Koohpayegani , KL Navaneet , Parsa Nooralinejad , Soheil Kolouri , Hamed Pirsiavash
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