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Training models through self-play alone (without any human data) has been a longstanding goal in AI, but its effectiveness for training large language models remains unclear, particularly in code generation where rewards based on unit tests…

Artificial Intelligence · Computer Science 2025-12-23 Alex Wilf , Pranjal Aggarwal , Bryan Parno , Daniel Fried , Louis-Philippe Morency , Paul Pu Liang , Sean Welleck

Large Language Models (LLMs) have achieved remarkable progress through Reinforcement Learning with Verifiable Rewards (RLVR), yet still rely heavily on external supervision (e.g., curated labels). Adversarial learning, particularly through…

Machine Learning · Computer Science 2026-01-19 Zhengxin Zhang , Chengyu Huang , Aochong Oliver Li , Claire Cardie

Reinforcement learning with verifiable rewards (RLVR) has shown promise in enhancing the reasoning capabilities of large language models by learning directly from outcome-based rewards. Recent RLVR works that operate under the zero setting…

Machine Learning · Computer Science 2025-10-17 Andrew Zhao , Yiran Wu , Yang Yue , Tong Wu , Quentin Xu , Yang Yue , Matthieu Lin , Shenzhi Wang , Qingyun Wu , Zilong Zheng , Gao Huang

Self-play reinforcement learning trains language models on their own generated tasks, co-evolving a proposer and solver without human labels. Recent systems report strong reasoning gains, but collapse and instability are widely observed and…

Machine Learning · Computer Science 2026-05-22 Sophia Xiao Pu , Zhaotian Weng , Chengzhi Liu , Jayanth Srinivasa , Gaowen Liu , William Yang Wang , Xin Eric Wang

Recently, Reinforcement Learning from Verifiable Rewards (RLVR) has been established as a highly effective technique for augmenting the math reasoning skills of Large Language Models (LLMs) based on a single instance. Current…

Machine Learning · Computer Science 2026-05-05 Rudray Dave , Vedang Dubey , Smit Deoghare , Sudhakar Mishra

Our ability to know when to trust the decisions made by machine learning systems has not kept up with the staggering improvements in their performance, limiting their applicability in high-stakes domains. We introduce Prover-Verifier Games…

Machine Learning · Computer Science 2021-08-30 Cem Anil , Guodong Zhang , Yuhuai Wu , Roger Grosse

Can large language models improve without external data -- by generating their own questions and answers? We hypothesize that a pre-trained language model can improve its reasoning skills given only a single prompt specifying the topic…

Machine Learning · Computer Science 2025-09-11 Lili Chen , Mihir Prabhudesai , Katerina Fragkiadaki , Hao Liu , Deepak Pathak

Reinforcement learning has become a cornerstone technique for developing reasoning models in complex tasks, ranging from mathematical problem-solving to imaginary reasoning. The optimization of these models typically relies on policy…

Machine Learning · Computer Science 2026-02-11 Qingnan Ren , Shiting Huang , Zhen Fang , Zehui Chen , Lin Chen , Lijun Li , Feng Zhao

We introduce PopuLoRA, a population-based asymmetric self-play framework for reinforcement learning with verifiable rewards (RLVR) post-training of LLMs. Teachers and students are specialised LoRA adapters on a shared frozen base: teachers…

Artificial Intelligence · Computer Science 2026-05-19 Roger Creus Castanyer , Geoffrey Bradway , Lorenz Wolf , Maxwill Lin , Augustine N. Mavor-Parker , Matthew James Sargent

Recent advances in large language model (LLM) reasoning, led by reinforcement learning with verifiable rewards (RLVR), have inspired self-play post-training, where models improve by generating and solving their own problems. While self-play…

Machine Learning · Computer Science 2025-11-03 Justin Yang Chae , Md Tanvirul Alam , Nidhi Rastogi

Reinforcement learning from verifiable rewards (RLVR) produces strong reasoning models, yet they can fail catastrophically when the conditioning context is fallible (e.g., corrupted chain-of-thought, misleading partial solutions, or mild…

Reinforcement Learning with Verifiable Rewards (RLVR) has recently emerged as a key paradigm for post-training Large Language Models (LLMs), particularly for complex reasoning tasks. However, vanilla RLVR training has been shown to improve…

Computation and Language · Computer Science 2025-12-16 Xiao Liang , Zhongzhi Li , Yeyun Gong , Yelong Shen , Ying Nian Wu , Zhijiang Guo , Weizhu Chen

Reinforcement Learning with Verifiable Rewards (RLVR) is a promising paradigm for enhancing the reasoning ability in Large Language Models (LLMs). However, prevailing methods primarily rely on self-exploration or a single off-policy teacher…

Computation and Language · Computer Science 2025-10-10 Xiaoyang Yuan , Yujuan Ding , Yi Bin , Wenqi Shao , Jinyu Cai , Jingkuan Song , Yang Yang , Heng Tao Shen

Self-play with large language models has emerged as a promising paradigm for achieving self-improving artificial intelligence. However, existing self-play frameworks often suffer from optimization instability, due to (i) non-stationary…

Artificial Intelligence · Computer Science 2026-01-22 Shengda Fan , Xuyan Ye , Yankai Lin

Current reinforcement learning (RL) frameworks for large language models (LLM) post-training typically assume a fixed prompt distribution, which is sub-optimal and bottlenecks scalability. Prior works have explored prompt evolving, but are…

Computation and Language · Computer Science 2025-04-11 Ziyu Ye , Rishabh Agarwal , Tianqi Liu , Rishabh Joshi , Sarmishta Velury , Quoc V. Le , Qijun Tan , Yuan Liu

The reasoning capabilities of advanced large language models (LLMs) like o1 have revolutionized artificial intelligence applications. Nevertheless, evaluating and optimizing complex reasoning processes remain significant challenges due to…

Computation and Language · Computer Science 2025-02-18 Xiaoyu Tan , Tianchu Yao , Chao Qu , Bin Li , Minghao Yang , Dakuan Lu , Haozhe Wang , Xihe Qiu , Wei Chu , Yinghui Xu , Yuan Qi

Deductive reasoning is the process of deriving conclusions strictly from the given premises, without relying on external knowledge. We define honesty in this setting as a model's ability to respond only when the conclusion is logically…

Computation and Language · Computer Science 2025-12-01 Jiarui Liu , Kaustubh Dhole , Yingheng Wang , Haoyang Wen , Sarah Zhang , Haitao Mao , Gaotang Li , Neeraj Varshney , Jingguo Liu , Xiaoman Pan

Large language models (LLMs) often solve challenging math exercises yet fail to apply the concept right when the problem requires genuine understanding. Popular Reinforcement Learning with Verifiable Rewards (RLVR) pipelines reinforce final…

Artificial Intelligence · Computer Science 2026-05-08 Zijun Gao , Zhikun Xu , Xiao Ye , Ben Zhou

Personalized alignment is crucial for enabling Large Language Models (LLMs) to engage effectively in user-centric interactions. However, current methods face a dual challenge: they fail to infer users' deep implicit preferences (including…

Artificial Intelligence · Computer Science 2026-04-29 Peiming Li , Zhiyuan Hu , Yang Tang , Shiyu Li , Xi Chen

Reinforcement fine-tuning improves the reasoning ability of large language models, but it can also encourage them to answer unanswerable queries by guessing or hallucinating missing information. Existing abstention methods either train…

Computation and Language · Computer Science 2026-04-21 Skylar Zhai , Jingcheng Liang , Dongyeop Kang
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