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While Group Relative Policy Optimization (GRPO) has emerged as a scalable framework for critic-free policy learning, extending it to settings with explicit behavioral constraints remains underexplored. We introduce Constrained GRPO, a…

Machine Learning · Computer Science 2026-02-09 Roger Girgis , Rodrigue de Schaetzen , Luke Rowe , Azalée Robitaille , Christopher Pal , Liam Paull

Very recently proximal policy optimization (PPO) algorithms have been proposed as first-order optimization methods for effective reinforcement learning. While PPO is inspired by the same learning theory that justifies trust region policy…

Machine Learning · Computer Science 2018-04-20 Gang Chen , Yiming Peng , Mengjie Zhang

We propose a successive convex approximation based off-policy optimization (SCAOPO) algorithm to solve the general constrained reinforcement learning problem, which is formulated as a constrained Markov decision process (CMDP) in the…

Machine Learning · Computer Science 2022-04-20 Chang Tian , An Liu , Guang Huang , Wu Luo

The field of risk-constrained reinforcement learning (RCRL) has been developed to effectively reduce the likelihood of worst-case scenarios by explicitly handling risk-measure-based constraints. However, the nonlinearity of risk measures…

Machine Learning · Computer Science 2024-05-30 Dohyeong Kim , Taehyun Cho , Seungyub Han , Hojun Chung , Kyungjae Lee , Songhwai Oh

It is challenging for reinforcement learning (RL) algorithms to succeed in real-world applications like financial trading and logistic system due to the noisy observation and environment shifting between training and evaluation. Thus, it…

Machine Learning · Computer Science 2022-05-20 Zhengyu Yang , Kan Ren , Xufang Luo , Minghuan Liu , Weiqing Liu , Jiang Bian , Weinan Zhang , Dongsheng Li

A common formulation of constrained reinforcement learning involves multiple rewards that must individually accumulate to given thresholds. In this class of problems, we show a simple example in which the desired optimal policy cannot be…

Machine Learning · Computer Science 2023-09-22 Miguel Calvo-Fullana , Santiago Paternain , Luiz F. O. Chamon , Alejandro Ribeiro

Constrained optimization provides a common framework for dealing with conflicting objectives in reinforcement learning (RL). In most of these settings, the objectives (and constraints) are expressed though the expected accumulated reward.…

Machine Learning · Computer Science 2025-12-03 Jane H. Lee , Baturay Saglam , Spyridon Pougkakiotis , Amin Karbasi , Dionysis Kalogerias

Group Relative Policy Optimization (GRPO) has emerged as a popular algorithm for reinforcement learning with large language models (LLMs). However, upon analyzing its clipping mechanism, we argue that it is suboptimal in certain scenarios.…

Machine Learning · Computer Science 2026-01-08 Chi Liu , Xin Chen

Offline reinforcement learning (RL) enables learning effective policies from fixed datasets without any environment interaction. Existing methods typically employ policy constraints to mitigate the distribution shift encountered during…

Machine Learning · Computer Science 2026-04-30 Tan Jing , Xiaorui Li , Chao Yao , Xiaojuan Ban , Yuetong Fang , Renjing Xu , Zhaolin Yuan

Adversarial training has become the primary method to defend against adversarial samples. However, it is hard to practically apply due to many shortcomings. One of the shortcomings of adversarial training is that it will reduce the…

Machine Learning · Computer Science 2021-08-31 Zhishen Nie , Ying Lin , Sp Ren , Lan Zhang

Constrained Reinforcement Learning (CRL) aims to optimize decision-making policies under constraint conditions, making it highly applicable to safety-critical domains such as autonomous driving, robotics, and power grid management. However,…

Machine Learning · Computer Science 2026-02-16 Wentao Xu , Zhongming Yao , Weihao Li , Zhenghang Song , Yumeng Song , Tianyi Li , Yushuai Li

Two divergence regimes dominate modern alignment practice. Supervised fine-tuning and many distillation-style objectives implicitly minimize the forward KL divergence KL(q || pi_theta), yielding stable mode-covering updates but often…

Machine Learning · Computer Science 2025-12-30 Wang Zixian

Safety and trustworthiness are indispensable requirements for real-world applications of AI systems using large language models (LLMs). This paper formulates human value alignment as an optimization problem of the language model policy to…

Machine Learning · Computer Science 2024-10-22 Akifumi Wachi , Thien Q. Tran , Rei Sato , Takumi Tanabe , Youhei Akimoto

Policy search can in principle acquire complex strategies for control of robots and other autonomous systems. When the policy is trained to process raw sensory inputs, such as images and depth maps, it can also acquire a strategy that…

Machine Learning · Computer Science 2017-02-28 Gregory Kahn , Tianhao Zhang , Sergey Levine , Pieter Abbeel

This paper presents the concept of an adaptive safe padding that forces Reinforcement Learning (RL) to synthesise optimal control policies while ensuring safety during the learning process. Policies are synthesised to satisfy a goal,…

Machine Learning · Computer Science 2020-03-24 Mohammadhosein Hasanbeig , Alessandro Abate , Daniel Kroening

Behavior constrained policy optimization has been demonstrated to be a successful paradigm for tackling Offline Reinforcement Learning. By exploiting historical transitions, a policy is trained to maximize a learned value function while…

Machine Learning · Computer Science 2023-07-25 Jiachen Li , Edwin Zhang , Ming Yin , Qinxun Bai , Yu-Xiang Wang , William Yang Wang

Deploying Reinforcement Learning (RL) agents in the real-world require that the agents satisfy safety constraints. Current RL agents explore the environment without considering these constraints, which can lead to damage to the hardware or…

Machine Learning · Computer Science 2021-03-17 Harshit Sikchi , Wenxuan Zhou , David Held

Legged locomotion in unstructured environments demands not only high-performance control policies but also formal guarantees to ensure robustness under perturbations. Control methods often require carefully designed reference trajectories,…

Robotics · Computer Science 2026-03-23 Vrushabh Zinage , Narek Harutyunyan , Eric Verheyden , Fred Y. Hadaegh , Soon-Jo Chung

Group-advantage-based reinforcement learning methods, such as GRPO and DAPO, have demonstrated strong performance across diverse domains, including mathematical reasoning and text-to-image generation. However, their reliance on sample-level…

Computer Vision and Pattern Recognition · Computer Science 2026-05-29 Shufan Li , Konstantinos Kallidromitis , Akash Gokul Yusuke Kato , Kazuki Kozuka , Aditya Grover

The proliferation of the Internet has led to the emergence of online advertising, driven by the mechanics of online auctions. In these repeated auctions, software agents participate on behalf of aggregated advertisers to optimize for their…

Machine Learning · Computer Science 2023-06-13 Haozhe Wang , Chao Du , Panyan Fang , Li He , Liang Wang , Bo Zheng
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