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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 (possibly) nonsmooth…

最优化与控制 · 数学 2018-09-03 Ivano Notarnicola , Ying Sun , Gesualdo Scutari , Giuseppe Notarstefano

We study distributed multi-agent large-scale optimization problems, wherein the cost function is composed of a smooth possibly nonconvex sum-utility plus a DC (Difference-of-Convex) regularizer. We consider the scenario where the dimension…

分布式、并行与集群计算 · 计算机科学 2018-05-29 Ivano Notarnicola , Ying Sun , Gesualdo Scutari , Giuseppe Notarstefano

We study nonconvex distributed optimization in multiagent networks where the communications between nodes is modeled as a time-varying sequence of arbitrary digraphs. We introduce a novel broadcast-based distributed algorithmic framework…

分布式、并行与集群计算 · 计算机科学 2016-12-16 Ying Sun , Gesualdo Scutari , Daniel Palomar

We study distributed stochastic nonconvex optimization in multi-agent networks. We introduce a novel algorithmic framework for the distributed minimization of the sum of the expected value of a smooth (possibly nonconvex) function (the…

信号处理 · 电气工程与系统科学 2020-05-13 Paolo Di Lorenzo , Simone Scardapane

We study nonconvex distributed optimization in multi-agent networks with time-varying (nonsymmetric) connectivity. We introduce the first algorithmic framework for the distributed minimization of the sum of a smooth (possibly nonconvex and…

分布式、并行与集群计算 · 计算机科学 2016-02-02 Paolo Di Lorenzo , Gesualdo Scutari

In this paper we introduce a class of novel distributed algorithms for solving stochastic big-data convex optimization problems over directed graphs. In the addressed set-up, the dimension of the decision variable can be extremely high and…

最优化与控制 · 数学 2020-10-06 Francesco Farina , Giuseppe Notarstefano

This paper considers nonconvex distributed constrained optimization over networks, modeled as directed (possibly time-varying) graphs. We introduce the first algorithmic framework for the minimization of the sum of a smooth nonconvex…

最优化与控制 · 数学 2018-09-05 Gesualdo Scutari , Ying Sun

This paper studies a distributed multi-agent convex optimization problem. The system comprises multiple agents in this problem, each with a set of local data points and an associated local cost function. The agents are connected to a…

最优化与控制 · 数学 2021-08-20 Kushal Chakrabarti , Nirupam Gupta , Nikhil Chopra

This paper proposes a multi-scale method to design a continuous-time distributed algorithm for constrained convex optimization problems by using multi-agents with Markov switched network dynamics and noisy inter-agent communications. Unlike…

最优化与控制 · 数学 2021-03-02 Wei Ni , Xiaoli Wang

In this paper, distributed convex optimization problem over non-directed dynamical networks is studied. Here, networked agents with single-integrator dynamics are supposed to rendezvous at a point that is the solution of a global convex…

最优化与控制 · 数学 2017-07-18 Amir Adibzadeh , Mohsen Zamani , Amir A. Suratgar , Mohammad B. Menhaj

We study distributed non-convex optimization on a time-varying multi-agent network. Each node has access to its own smooth local cost function, and the collective goal is to minimize the sum of these functions. We generalize the results…

最优化与控制 · 数学 2016-12-06 Tatiana Tatarenko , Behrouz Touri

This paper addresses the problem of nonconvex nonsmooth decentralised optimisation in multi-agent networks with undirected connected communication graphs. Our contribution lies in introducing an algorithmic framework designed for the…

最优化与控制 · 数学 2023-12-08 Behnam Mafakheri , Jonathan H. Manton , Iman Shames

This note studies the distributed non-convex optimization problem with non-smooth regularization, which has wide applications in decentralized learning, estimation and control. The objective function is the sum of different local objective…

最优化与控制 · 数学 2021-03-04 Xia Jiang , Xianlin Zeng , Jian Sun , Jie Chen

This paper considers a distributed stochastic strongly convex optimization, where agents connected over a network aim to cooperatively minimize the average of all agents' local cost functions. Due to the stochasticity of gradient estimation…

最优化与控制 · 数学 2020-02-17 Jinlong Lei , Peng Yi , Jie Chen , Yiguang Hong

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

The paper considers distributed stochastic optimization over randomly switching networks, where agents collaboratively minimize the average of all agents' local expectation-valued convex cost functions. Due to the stochasticity in gradient…

最优化与控制 · 数学 2022-04-07 Jinlong Lei , Peng Yi , Jie Chen , Yiguang Hong

In this two-part paper, we propose a general algorithmic framework for the minimization of a nonconvex smooth function subject to nonconvex smooth constraints. The algorithm solves a sequence of (separable) strongly convex problems and…

多智能体系统 · 计算机科学 2016-01-18 Gesualdo Scutari , Francisco Facchinei , Lorenzo Lampariello , Peiran Song

Distributed optimization utilizes local computation and communication to realize a global aim of optimizing the sum of local objective functions. This article addresses a class of constrained distributed nonconvex optimization problems…

最优化与控制 · 数学 2024-05-07 Zhiyu He , Jianping He , Cailian Chen , Xinping Guan

The recently developed Distributed Block Proximal Method, for solving stochastic big-data convex optimization problems, is studied in this paper under the assumption of constant stepsizes and strongly convex (possibly non-smooth) local…

最优化与控制 · 数学 2020-03-06 Francesco Farina , Giuseppe Notarstefano

In this paper we consider a distributed optimization scenario in which the aggregate objective function to minimize is partitioned, big-data and possibly non-convex. Specifically, we focus on a set-up in which the dimension of the decision…

分布式、并行与集群计算 · 计算机科学 2017-03-27 Ivano Notarnicola , Giuseppe Notarstefano
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