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Reinforcement Learning with Verifiable Rewards (RLVR) is an effective paradigm for improving the reasoning capabilities of large language models. However, existing RLVR methods utilize rollouts in an indiscriminate and short-horizon manner:…

Machine Learning · Computer Science 2026-05-26 Xiaodong Lu , Xiaohan Wang , Jiajun Chai , Guojun Yin , Wei Lin , Zhijun Chen , Yu Luo , Fuzhen Zhuang , Yikun Ban , Deqing Wang

Large language models (LLMs) have exhibited remarkable performance on complex reasoning tasks, with reinforcement learning under verifiable rewards (RLVR) emerging as a principled framework for aligning model behavior with reasoning chains.…

Artificial Intelligence · Computer Science 2026-05-05 Yunjian Zhang , Sudong Wang , Yang Li , Peiran Xu , Conghao Zhou , Xiaoyue Ma , Jianing Li , Yao Zhu

As test-time scaling becomes a pivotal research frontier in Large Language Models (LLMs) development, contemporary and advanced post-training methodologies increasingly focus on extending the generation length of long Chain-of-Thought (CoT)…

Computation and Language · Computer Science 2025-05-28 Mingyang Song , Mao Zheng

Recent advancements in reasoning-focused language models such as OpenAI's O1 and DeepSeek-R1 have shown that scaling test-time computation-through chain-of-thought reasoning and iterative exploration-can yield substantial improvements on…

(This work has been submitted to the IEEE for possible publication. Copyright may be transferred without notice, after which this version may no longer be accessible.) To improve the efficiency of deep reinforcement learning (DRL)-based…

Artificial Intelligence · Computer Science 2021-05-25 Gang Peng , Jin Yang , Xinde Lia , Mohammad Omar Khyam

Reinforcement Learning (RL) is increasingly applied to large-scale decision-making problems like logistics, scheduling, and recommender systems, but existing algorithms struggle with the curse of dimensionality in such large discrete action…

Machine Learning · Computer Science 2026-05-12 Heiko Hoppe , Fabian Akkerman , Wouter van Heeswijk , Maximilian Schiffer

Reward models are central to aligning large language models, yet they often overfit to spurious cues such as response length and overly agreeable tone. Most prior work weakens these cues directly by penalizing or controlling specific…

Computation and Language · Computer Science 2026-04-17 Yunsheng Lu , Zijiang Yang , Licheng Pan , Zhixuan Chu

Preference-based alignment methods (e.g., RLHF, DPO) typically optimize a single scalar objective, implicitly averaging over heterogeneous human preferences. In practice, systematic annotator and user-group disagreement makes mean-reward…

Machine Learning · Computer Science 2026-05-19 Mingxi Zou , Jiaxiang Chen , Junfan Li , Langzhang Liang , Qifan Wang , Xu Yinghui , Zenglin Xu

Reinforcement Learning (RL) in environments with complex, history-dependent reward structures poses significant challenges for traditional methods. In this work, we introduce a novel approach that leverages automaton-based feedback to guide…

Machine Learning · Computer Science 2025-10-20 Mahyar Alinejad , Alvaro Velasquez , Yue Wang , George Atia

Reinforcement learning (RL) is currently one of the most prominent methods for optimizing dynamical systems, with breakthrough results across various fields. The framework is based on the concept of a Markov decision process (MDP), leading…

Optimization and Control · Mathematics 2025-11-17 Rene Carmona , Mathieu Lauriere

Biological brains are inherently limited in their capacity to process and store information, but are nevertheless capable of solving complex tasks with apparent ease. Intelligent behavior is related to these limitations, since resource…

Neurons and Cognition · Quantitative Biology 2020-11-16 Nisheet Patel , Luigi Acerbi , Alexandre Pouget

Reinforcement Learning with Verifiable Rewards (RLVR) has proven effective in enhancing the reasoning capabilities of large language models, particularly in domains such as mathematics where reliable rule-based verifiers can be constructed.…

Machine Learning · Computer Science 2026-03-12 Changyi Xiao , Caijun Xu , Yixin Cao

We propose and study a version of the DCA (Difference-of-Convex functions Algorithm) using the $\ell_1$ penalty function for solving nonsmooth DC optimization problems with nonsmooth DC equality and inequality constraints. The method…

Optimization and Control · Mathematics 2024-04-23 M. V. Dolgopolik

We introduce the technique of adaptive discretization to design an efficient model-based episodic reinforcement learning algorithm in large (potentially continuous) state-action spaces. Our algorithm is based on optimistic one-step value…

Machine Learning · Computer Science 2020-10-26 Sean R. Sinclair , Tianyu Wang , Gauri Jain , Siddhartha Banerjee , Christina Lee Yu

Reinforcement Learning with Verifiable Rewards (RLVR) has improved the reasoning abilities of Large Language Models (LLMs) by using rule-based binary feedback. However, current RLVR methods typically assign the same reward to every token.…

Machine Learning · Computer Science 2025-10-21 Guofu Xie , Yunsheng Shi , Hongtao Tian , Ting Yao , Xiao Zhang

Many real-world control problems, ranging from finance to robotics, evolve in continuous time with non-uniform, event-driven decisions. Standard discrete-time reinforcement learning (RL), based on fixed-step Bellman updates, struggles in…

Machine Learning · Computer Science 2026-02-17 Minh Nguyen

Decentralized Finance (DeFi) lending enables permissionless borrowing via smart contracts. However, it faces challenges in optimizing interest rates, mitigating bad debt, and improving capital efficiency. Rule-based interest-rate models…

Machine Learning · Computer Science 2025-06-03 Hanxiao Qu , Krzysztof Gogol , Florian Groetschla , Claudio Tessone

In this paper, a deep reinforcement learning (DRL)-based approach to the Lyapunov optimization is considered to minimize the time-average penalty while maintaining queue stability. A proper construction of state and action spaces is…

Networking and Internet Architecture · Computer Science 2020-12-16 Sohee Bae , Seungyul Han , Youngchul Sung

Deep reinforcement learning (RL) models, despite their efficiency in learning an optimal policy in static environments, easily loses previously learned knowledge (i.e., catastrophic forgetting). It leads RL models to poor performance in…

Machine Learning · Computer Science 2025-09-08 Wonseo Jang , Dongjae Kim

While reinforcement learning has achieved impressive progress in language model reasoning, it is constrained by the requirement for verifiable rewards. Recent verifier-free RL methods address this limitation by utilizing the probabilities…

Computation and Language · Computer Science 2026-05-26 Xueru Wen , Jie Lou , Yanjiang Liu , Hongyu Lin , Ben He , Xianpei Han , Le Sun , Yaojie Lu , Debing Zhang