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We consider optimal transport based distributionally robust optimization (DRO) problems with locally strongly convex transport cost functions and affine decision rules. Under conventional convexity assumptions on the underlying loss…

Optimization and Control · Mathematics 2021-04-27 Jose Blanchet , Karthyek Murthy , Fan Zhang

Many problems in Reinforcement Learning (RL) seek an optimal policy with large discrete multidimensional yet unordered action spaces; these include problems in randomized allocation of resources such as placements of multiple security…

Machine Learning · Computer Science 2023-11-28 Changyu Chen , Ramesha Karunasena , Thanh Hong Nguyen , Arunesh Sinha , Pradeep Varakantham

Optimal transport aims to estimate a transportation plan that minimizes a displacement cost. This is realized by optimizing the scalar product between the sought plan and the given cost, over the space of doubly stochastic matrices. When…

This article presents a constrained policy optimization approach for the optimal control of systems under nonstationary uncertainties. We introduce an assumption that we call Markov embeddability that allows us to cast the stochastic…

Optimization and Control · Mathematics 2026-05-11 Sungho Shin , François Pacaud , Emil Contantinescu , Mihai Anitescu

Offline reinforcement learning (RL) aims to learn a policy that maximizes the expected return using a given static dataset of transitions. However, offline RL faces the distribution shift problem. The policy constraint offline RL method is…

Machine Learning · Computer Science 2025-12-24 Yuanhao Chen , Qi Liu , Pengbin Chen , Zhongjian Qiao , Yanjie Li

We consider a class of reinforcement-learning systems in which the agent follows a behavior policy to explore a discrete state-action space to find an optimal policy while adhering to some restriction on its behavior. Such restriction may…

Machine Learning · Computer Science 2023-04-07 Peter C. Y. Chen

Safe reinforcement learning (RL) aims to learn policies that satisfy certain constraints before deploying them to safety-critical applications. Previous primal-dual style approaches suffer from instability issues and lack optimality…

Machine Learning · Computer Science 2022-06-20 Zuxin Liu , Zhepeng Cen , Vladislav Isenbaev , Wei Liu , Zhiwei Steven Wu , Bo Li , Ding Zhao

This paper studies the distributed optimization problem with possibly nonidentical local constraints, where its global objective function is composed of $N$ convex functions. The aim is to solve the considered optimization problem in a…

Optimization and Control · Mathematics 2022-08-26 Hongzhe Liu , Wenwu Yu , Guanghui Wen , Wei Xing Zheng

In this paper, we analyze the convergence of a distributed Robbins-Monro algorithm for both constrained and unconstrained optimization in multi-agent systems. The algorithm searches for local minima of a (nonconvex) objective function which…

Information Theory · Computer Science 2011-04-20 Pascal Bianchi , Jérémie Jakubowicz

This work develops effective distributed strategies for the solution of constrained multi-agent stochastic optimization problems with coupled parameters across the agents. In this formulation, each agent is influenced by only a subset of…

Optimization and Control · Mathematics 2019-03-15 Sulaiman A. Alghunaim , Ali H. Sayed

Recent developments in offline reinforcement learning have uncovered the immense potential of diffusion modeling, which excels at representing heterogeneous behavior policies. However, sampling from diffusion policies is considerably slow…

Machine Learning · Computer Science 2024-03-18 Huayu Chen , Cheng Lu , Zhengyi Wang , Hang Su , Jun Zhu

Traditional continuous deep reinforcement learning (RL) algorithms employ deterministic or unimodal Gaussian actors, which cannot express complex multimodal decision distributions. This limitation can hinder their performance in…

Machine Learning · Computer Science 2025-11-04 Ziqi Wang , Jiashun Liu , Ling Pan

Reinforcement learning has shown strong performance in robotic manipulation, but learned policies often degrade in performance when test conditions differ from the training distribution. This limitation is especially important in…

Robotics · Computer Science 2026-04-02 Shaifalee Saxena , Rafael Fierro , Alexander Scheinker

Distributional reinforcement learning algorithms have attempted to utilize estimated uncertainty for exploration, such as optimism in the face of uncertainty. However, using the estimated variance for optimistic exploration may cause biased…

Machine Learning · Computer Science 2023-12-06 Taehyun Cho , Seungyub Han , Heesoo Lee , Kyungjae Lee , Jungwoo Lee

Optimal transport is a powerful framework for the efficient allocation of resources between sources and targets. However, traditional models often struggle to scale effectively in the presence of large and heterogeneous populations. In this…

Artificial Intelligence · Computer Science 2024-11-13 Navpreet Kaur , Juntao Chen , Yingdong Lu

Reinforcement learning (RL) problems over general state and action spaces are notoriously challenging. In contrast to the tableau setting, one can not enumerate all the states and then iteratively update the policies for each state. This…

Machine Learning · Computer Science 2026-03-24 Caleb Ju , Guanghui Lan

This paper deals with solving distributed optimization problems with equality constraints by a class of uncertain nonlinear heterogeneous dynamic multi-agent systems. It is assumed that each agent with an uncertain dynamic model has limited…

Systems and Control · Electrical Eng. & Systems 2022-06-28 Mohammad Saeed Sarafraz , Mohammad Saleh Tavazoei

Portfolio optimization tasks describe sequential decision problems in which the investor's wealth is distributed across a set of assets. Allocation constraints are used to enforce minimal or maximal investments into particular subsets of…

Artificial Intelligence · Computer Science 2024-04-17 David Winkel , Niklas Strauß , Matthias Schubert , Thomas Seidl

The paper studies a distributed constrained optimization problem, where multiple agents connected in a network collectively minimize the sum of individual objective functions subject to a global constraint being an intersection of the local…

Optimization and Control · Mathematics 2016-03-08 Jinlong Lei , Han-Fu Chen , Hai-Tao Fang

Entropy regularization is used to get improved optimization performance in reinforcement learning tasks. A common form of regularization is to maximize policy entropy to avoid premature convergence and lead to more stochastic policies for…

Machine Learning · Computer Science 2019-12-12 Riashat Islam , Zafarali Ahmed , Doina Precup