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The distributed nonconvex optimization problem of minimizing a global cost function formed by a sum of $n$ local cost functions by using local information exchange is considered. This problem is an important component of many machine…

最优化与控制 · 数学 2022-01-11 Xinlei Yi , Shengjun Zhang , Tao Yang , Tianyou Chai , Karl H. Johansson

This paper delves into the investigation of a distributed aggregative optimization problem within a network. In this scenario, each agent possesses its own local cost function, which relies not only on the local state variable but also on…

最优化与控制 · 数学 2025-04-01 Jiaxu Liu , Song Chen , Shengze Cai , Chao Xu , Jian Chu

In this paper, the distributed resource allocation problem on strongly connected and weight-balanced digraphs is investigated, where the decisions of each agent are restricted to satisfy the coupled network resource constraints and…

最优化与控制 · 数学 2022-03-10 Xiaohong Nian , Fan Li , Dongxin Liu

Motivated by recent development in networking and parallel data-processing, we consider a distributed and localized finite-sum (or fixed-sum) allocation technique to solve resource-constrained convex optimization problems over multi-agent…

系统与控制 · 电气工程与系统科学 2022-03-29 Mohammadreza Doostmohammadian , Maria Vrakopoulou , Alireza Aghasi , Themistoklis Charalambous

We provide a unifying framework for distributed convex optimization over time-varying networks, in the presence of constraints and uncertainty, features that are typically treated separately in the literature. We adopt a proximal…

最优化与控制 · 数学 2017-05-24 Kostas Margellos , Alessandro Falsone , Simone Garatti , Maria Prandini

This paper fully studies distributed optimal consensus problem in non-directed dynamical networks. We consider a group of networked agents that are supposed to rendezvous at the optimal point of a collective convex objective function. Each…

最优化与控制 · 数学 2017-12-22 Amir Adibzadeh , Amir A. Suratgar , Mohammad B. Menhaja , Mohsen Zamani

We consider a multi-agent optimization problem where agents subject to local, intermittent interactions aim to minimize a sum of local objective functions subject to a global inequality constraint and a global state constraint set. In…

最优化与控制 · 数学 2012-10-10 Minghui Zhu , Sonia Martinez

In this paper, we consider distributed optimization design for resource allocation problems over weight-balanced graphs. With the help of singular perturbation analysis, we propose a simple sub-optimal continuous-time optimization…

最优化与控制 · 数学 2022-06-14 Shu Liang , Xianlin Zeng , Yiguang Hong

In this paper, we study distributed optimization with smooth non-convex local objectives. We propose a novel variant of the well-known EXact firsT-ordeR Algorithm (EXTRA), called Two-timescale EXTRA, by introducing two distinct step-sizes.…

最优化与控制 · 数学 2025-09-23 Zeyu Peng , Farhad Farokhi , Ye Pu

Nonconvex optimization refers to the process of solving problems whose objective or constraints are nonconvex. Historically, this type of problems have been very difficult to solve to global optimality, with traditional solvers often…

最优化与控制 · 数学 2025-08-12 Dimitris Bertsimas , Danique de Moor , Thodoris Koukouvinos , Demetrios Kriezis

This paper presents a special type of distributed optimization problems, where the summation of agents' local cost functions (i.e., global cost function) is convex, but each individual can be non-convex. Unlike most distributed optimization…

最优化与控制 · 数学 2021-08-16 Yipeng Pang , Guoqiang Hu

In this paper, we present a distributed algorithm for solving convex, constraint-coupled, optimization problems over peer-to-peer networks. We consider a network of processors that aim to cooperatively minimize the sum of local cost…

最优化与控制 · 数学 2021-04-14 Andrea Camisa , Alessia Benevento , Giuseppe Notarstefano

Distributed Optimization is an increasingly important subject area with the rise of multi-agent control and optimization. We consider a decentralized stochastic optimization problem where the agents on a graph aim to asynchronously optimize…

最优化与控制 · 数学 2021-10-22 Vyacheslav Kungurtsev , Mahdi Morafah , Tara Javidi , Gesualdo Scutari

We present and analyze a central cutting surface algorithm for general semi-infinite convex optimization problems, and use it to develop a novel algorithm for distributionally robust optimization problems in which the uncertainty set…

最优化与控制 · 数学 2014-08-14 Sanjay Mehrotra , David Papp

We develop and analyze an asynchronous algorithm for distributed convex optimization when the objective writes a sum of smooth functions, local to each worker, and a non-smooth function. Unlike many existing methods, our distributed…

最优化与控制 · 数学 2019-12-13 Konstantin Mishchenko , Franck Iutzeler , Jérôme Malick

We study non-convex distributed optimization problems where a set of agents collaboratively solve a separable optimization problem that is distributed over a time-varying network. The existing methods to solve these problems rely on (at…

最优化与控制 · 数学 2022-04-26 Hadi Reisizadeh , Behrouz Touri , Soheil Mohajer

Recent studies have illustrated that stochastic gradient Markov Chain Monte Carlo techniques have a strong potential in non-convex optimization, where local and global convergence guarantees can be shown under certain conditions. By…

This paper studies the problem of distributed beam scheduling for 5G millimeter-Wave (mm-Wave) cellular networks where base stations (BSs) belonging to different operators share the same spectrum without centralized coordination among them.…

信息论 · 计算机科学 2021-07-26 Xiang Zhang , Shamik Sarkar , Arupjyoti Bhuyan , Sneha Kumar Kasera , Mingyue Ji

In this paper, we study distributed big-data nonconvex optimization in multi-agent networks. We consider the (constrained) minimization of the sum of a smooth (possibly) nonconvex function, i.e., the agents' sum-utility, plus a convex…

分布式、并行与集群计算 · 计算机科学 2018-05-03 Ivano Notarnicola , Ying Sun , Gesualdo Scutari , Giuseppe Notarstefano

We consider the problem of optimizing time averages in systems with independent and identically distributed behavior over renewal frames. This includes scheduling and task processing to maximize utility in stochastic networks with variable…

最优化与控制 · 数学 2010-11-30 Michael J. Neely