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In this work, we consider solving a distributed optimization problem in a multi-agent network with multiple clusters. In each cluster, the involved agents cooperatively optimize a separable composite function with a common decision…

Optimization and Control · Mathematics 2022-03-03 Jianzheng Wang , Guoqiang Hu

Primal-dual safe RL methods commonly perform iterations between the primal update of the policy and the dual update of the Lagrange Multiplier. Such a training paradigm is highly susceptible to the error in cumulative cost estimation since…

Machine Learning · Computer Science 2024-04-16 Zifan Wu , Bo Tang , Qian Lin , Chao Yu , Shangqin Mao , Qianlong Xie , Xingxing Wang , Dong Wang

Missing values challenge data analysis because many supervised and unsupervised learning methods cannot be applied directly to incomplete data. Matrix completion based on low-rank assumptions are very powerful solution for dealing with…

Machine Learning · Statistics 2020-01-30 Aude Sportisse , Claire Boyer , Julie Josse

Deep reinforcement learning has recently emerged as a promising feedback control strategy for complex dynamical systems governed by partial differential equations (PDEs). When dealing with distributed, high-dimensional problems in state and…

Machine Learning · Computer Science 2025-09-23 Nicolò Botteghi , Matteo Tomasetto , Urban Fasel , Francesco Braghin , Andrea Manzoni

We develop a simple yet efficient Lagrangian method for computing equilibrium prices in a mean-field game price-formation model. We prove that equilibrium prices are optimal in terms of a suitable criterion and derive a primal-dual…

Optimization and Control · Mathematics 2025-09-18 Xu Wang , Samy Wu Fung , Levon Nurbekyan

Based on a preconditioned version of the randomized block-coordinate forward-backward algorithm recently proposed in [Combettes,Pesquet,2014], several variants of block-coordinate primal-dual algorithms are designed in order to solve a wide…

Optimization and Control · Mathematics 2014-10-28 Jean-Christophe Pesquet , Audrey Repetti

Consider a set of N agents seeking to solve distributively the minimization problem $\inf_{x} \sum_{n = 1}^N f_n(x)$ where the convex functions $f_n$ are local to the agents. The popular Alternating Direction Method of Multipliers has the…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-12-30 Franck Iutzeler , Pascal Bianchi , Philippe Ciblat , Walid Hachem

In this work, we study the problem of finding Pareto optimal policies in multi-agent reinforcement learning problems with cooperative reward structures. We show that any algorithm where each agent only optimizes their reward is subject to…

Machine Learning · Computer Science 2024-10-28 Bang Giang Le , Viet Cuong Ta

While multiagent systems have shown promise for tackling complex tasks via specialization, finetuning multiple agents simultaneously faces two key challenges: (1) credit assignment across agents, and (2) sample efficiency of expensive…

Artificial Intelligence · Computer Science 2026-02-05 Ed Li , Junyu Ren , Cat Yan

Heuristic search-based planning techniques are commonly used for motion planning on discretized spaces. The performance of these algorithms is heavily affected by the resolution at which the search space is discretized. Typically a fixed…

Robotics · Computer Science 2020-04-15 Wei Du , Fahad Islam , Maxim Likhachev

Retrieval-augmented generation (RAG) has proven to be effective in mitigating hallucinations in large language models, yet its effectiveness remains limited in complex, multi-step reasoning scenarios. Recent efforts have incorporated…

Computation and Language · Computer Science 2025-12-29 Wenda Wei , Yu-An Liu , Ruqing Zhang , Jiafeng Guo , Lixin Su , Shuaiqiang Wang , Dawei Yin , Maarten de Rijke , Xueqi Cheng

In this paper we deal with a network of agents seeking to solve in a distributed way Mixed-Integer Linear Programs (MILPs) with a coupling constraint (modeling a limited shared resource) and local constraints. MILPs are NP-hard problems and…

Systems and Control · Computer Science 2020-10-28 Andrea Camisa , Ivano Notarnicola , Giuseppe Notarstefano

In distributed machine learning, efficient training across multiple agents with different data distributions poses significant challenges. Even with a centralized coordinator, current algorithms that achieve optimal communication complexity…

Machine Learning · Computer Science 2024-08-13 Junchi Yang , Murat Yildirim , Qiu Feng

In this work, we present an algorithmically tractable safe approximation of distributionally robust optimization (DRO) problems that contain univariate indicator functions. The latter appear in different applications, but render the model…

Optimization and Control · Mathematics 2026-01-22 Jana Dienstbier , Frauke Liers , Florian Rösel , Jan Rolfes

Inferring reward functions from demonstrations and pairwise preferences are auspicious approaches for aligning Reinforcement Learning (RL) agents with human intentions. However, state-of-the art methods typically focus on learning a single…

Machine Learning · Computer Science 2022-01-04 Markus Peschl , Arkady Zgonnikov , Frans A. Oliehoek , Luciano C. Siebert

In this paper, we design a novel two-phase unsourced random access (URA) scheme in massive multiple input multiple output (MIMO). In the first phase, we collect a sequence of information bits to jointly acquire the user channel state…

Information Theory · Computer Science 2023-06-28 Jia-Cheng Jiang , Hui-Ming Wang

We present a framework for asynchronously solving convex optimization problems over networks of agents which are augmented by the presence of a centralized cloud computer. This framework uses a Tikhonov-regularized primal-dual approach in…

Optimization and Control · Mathematics 2016-10-14 Matthew T. Hale , Angelia Nedich , Magnus Egerstedt

Real-world image restoration is challenging due to complex and interacting mixed degradations. Recent agent-based approaches address this problem by composing multiple task-specific restoration tools. However, empirical analysis reveals…

Computer Vision and Pattern Recognition · Computer Science 2026-05-22 Feng Zhu , Shuyang Xie , Yihan Zeng , Ming Liu , Wangmeng Zuo

Active voltage control presents a promising avenue for relieving power congestion and enhancing voltage quality, taking advantage of the distributed controllable generators in the power network, such as roof-top photovoltaics. While…

Machine Learning · Computer Science 2024-09-04 Yang Qu , Jinming Ma , Feng Wu

In this paper, we introduce a novel first-order dual gradient algorithm for solving network utility maximization problems that arise in resource allocation schemes over networks with safety-critical constraints. Inspired by applications…

Optimization and Control · Mathematics 2022-08-10 Berkay Turan , Mahnoosh Alizadeh