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Decentralized solutions to finite-sum minimization are of significant importance in many signal processing, control, and machine learning applications. In such settings, the data is distributed over a network of arbitrarily-connected nodes…

机器学习 · 计算机科学 2019-11-14 Ran Xin , Soummya Kar , Usman A. Khan

Consider a network of $N$ decentralized computing agents collaboratively solving a nonconvex stochastic composite problem. In this work, we propose a single-loop algorithm, called DEEPSTORM, that achieves optimal sample complexity for this…

最优化与控制 · 数学 2023-04-14 Gabriel Mancino-Ball , Shengnan Miao , Yangyang Xu , Jie Chen

In this work, we consider the asynchronous distributed optimization problem in which each node has its own convex cost function and can communicate directly only with its neighbors, as determined by a directed communication topology…

最优化与控制 · 数学 2021-04-27 Wei Jiang , Andreas Grammenos , Evangelia Kalyvianaki , Themistoklis Charalambous

We consider distributed convex optimization problems that involve a separable objective function and nontrivial functional constraints, such as Linear Matrix Inequalities (LMIs). We propose a decentralized and computationally inexpensive…

最优化与控制 · 数学 2018-01-22 Soomin Lee , Michael M. Zavlanos

This paper focuses on stochastic proximal gradient methods for optimizing a smooth non-convex loss function with a non-smooth non-convex regularizer and convex constraints. To the best of our knowledge we present the first non-asymptotic…

最优化与控制 · 数学 2019-05-27 Michael R. Metel , Akiko Takeda

This paper focuses on the distributed optimization of stochastic saddle point problems. The first part of the paper is devoted to lower bounds for the centralized and decentralized distributed methods for smooth (strongly) convex-(strongly)…

机器学习 · 计算机科学 2025-04-28 Aleksandr Beznosikov , Valentin Samokhin , Alexander Gasnikov

Federated Learning (FL) has achieved significant achievements recently, enabling collaborative model training on distributed data over edge devices. Iterative gradient or model exchanges between devices and the centralized server in the…

分布式、并行与集群计算 · 计算机科学 2023-12-19 Ji Liu , Tianshi Che , Yang Zhou , Ruoming Jin , Huaiyu Dai , Dejing Dou , Patrick Valduriez

This paper considers decentralized consensus optimization problems where nodes of a network have access to different summands of a global objective function. Nodes cooperate to minimize the global objective by exchanging information with…

最优化与控制 · 数学 2016-09-21 Aryan Mokhtari , Wei Shi , Qing Ling , Alejandro Ribeiro

Distributed algorithms for solving additive or consensus optimization problems commonly rely on first-order or proximal splitting methods. These algorithms generally come with restrictive assumptions and at best enjoy a linear convergence…

最优化与控制 · 数学 2017-05-11 Sina Khoshfetrat Pakazad , Christian A. Naesseth , Fredrik Lindsten , Anders Hansson

Decentralized optimization, particularly the class of decentralized composite convex optimization (DCCO) problems, has found many applications. Due to ubiquitous communication congestion and random dropouts in practice, it is highly…

最优化与控制 · 数学 2022-10-12 Changxin Liu , Zirui Zhou , Jian Pei , Yong Zhang , Yang Shi

Federated learning, where algorithms are trained across multiple decentralized devices without sharing local data, is increasingly popular in distributed machine learning practice. Typically, a graph structure $G$ exists behind local…

机器学习 · 统计学 2022-09-20 Huiyuan Wang , Xuyang Zhao , Wei Lin

In this paper we consider distributed optimization problems in which the cost function is separable, i.e., a sum of possibly non-smooth functions all sharing a common variable, and can be split into a strongly convex term and a convex one.…

系统与控制 · 计算机科学 2016-06-27 Ivano Notarnicola , Giuseppe Notarstefano

Federated learning enables training on a massive number of edge devices. To improve flexibility and scalability, we propose a new asynchronous federated optimization algorithm. We prove that the proposed approach has near-linear convergence…

分布式、并行与集群计算 · 计算机科学 2020-12-08 Cong Xie , Sanmi Koyejo , Indranil Gupta

We consider network-based decentralized optimization problems, where each node in the network possesses a local function and the objective is to collectively attain a consensus solution that minimizes the sum of all the local functions. A…

最优化与控制 · 数学 2023-09-07 Suhail M. Shah , Albert S. Berahas , Raghu Bollapragada

In this article, we propose a communication-efficient decentralized machine learning (ML) algorithm, coined quantized group ADMM (Q-GADMM). To reduce the number of communication links, every worker in Q-GADMM communicates only with two…

机器学习 · 计算机科学 2025-01-22 Anis Elgabli , Jihong Park , Amrit S. Bedi , Chaouki Ben Issaid , Mehdi Bennis , Vaneet Aggarwal

Distributed adaptive signal processing has attracted much attention in the recent decade owing to its effectiveness in many decentralized real-time applications in networked systems. Because many natural signals are highly sparse with most…

最优化与控制 · 数学 2017-11-22 Xuanyu Cao , K. J. Ray Liu

We focus on decentralized stochastic non-convex optimization, where $n$ agents work together to optimize a composite objective function which is a sum of a smooth term and a non-smooth convex term. To solve this problem, we propose two…

最优化与控制 · 数学 2023-06-23 Tesi Xiao , Xuxing Chen , Krishnakumar Balasubramanian , Saeed Ghadimi

We study the decentralized consensus and stochastic optimization problems with compressed communications over static directed graphs. We propose an iterative gradient-based algorithm that compresses messages according to a desired…

最优化与控制 · 数学 2022-04-19 Mohammad Taha Toghani , César A. Uribe

We consider stochastic convex optimization problems with affine constraints and develop several methods using either primal or dual approach to solve it. In the primal case, we use a special penalization technique to make the initial…

最优化与控制 · 数学 2020-11-13 Eduard Gorbunov , Darina Dvinskikh , Alexander Gasnikov

Consider the problem of minimizing the expected value of a (possibly nonconvex) cost function parameterized by a random (vector) variable, when the expectation cannot be computed accurately (e.g., because the statistics of the random…

多智能体系统 · 计算机科学 2017-12-12 Yang Yang , Gesualdo Scutari , Daniel P. Palomar , Marius Pesavento