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Motivated by the emergence of federated learning (FL), we design and analyze federated methods for addressing: (i) Nondifferentiable nonconvex optimization; (ii) Bilevel optimization; (iii) Minimax problems; and (iv) Two-stage stochastic…

最优化与控制 · 数学 2025-07-04 Yuyang Qiu , Uday V. Shanbhag , Farzad Yousefian

This paper investigates the distributed fixed point seeking problem of sum-separable stochastic operators over the multi-agent network. Based on inexact Krasnosel'ski\u{\i}--Mann iterations, the communication-efficient distributed algorithm…

最优化与控制 · 数学 2026-05-22 Fan Li , Lei Xu , Xinlei Yi , Guanghui Wen , Yang Shi , Tao Yang

Federated Learning allows multiple parties to jointly train a deep learning model on their combined data, without any of the participants having to reveal their local data to a centralized server. This form of privacy-preserving…

机器学习 · 计算机科学 2019-03-08 Felix Sattler , Simon Wiedemann , Klaus-Robert Müller , Wojciech Samek

Emerging applications of machine learning in numerous areas involve continuous gathering of and learning from streams of data. Real-time incorporation of streaming data into the learned models is essential for improved inference in these…

机器学习 · 计算机科学 2020-12-01 Matthew Nokleby , Haroon Raja , Waheed U. Bajwa

We propose and study a new class of gradient communication mechanisms for communication-efficient training -- three point compressors (3PC) -- as well as efficient distributed nonconvex optimization algorithms that can take advantage of…

机器学习 · 计算机科学 2022-02-03 Peter Richtárik , Igor Sokolov , Ilyas Fatkhullin , Elnur Gasanov , Zhize Li , Eduard Gorbunov

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

We study the problem of minimizing the sum of potentially non-differentiable convex cost functions with partially overlapping dependences in an asynchronous manner, where communication in the network is not coordinated. We study the…

最优化与控制 · 数学 2021-02-17 Yankai Lin , Iman Shames , Dragan Nesic

Distributed optimization often consists of two updating phases: local optimization and inter-node communication. Conventional approaches require working nodes to communicate with the server every one or few iterations to guarantee…

分布式、并行与集群计算 · 计算机科学 2019-06-17 Chi Zhang , Qianxiao Li

We are concerned with decentralized optimization over a compact submanifold, where the loss functions of local datasets are defined by their respective local datasets. A key challenge in decentralized optimization is mitigating the…

最优化与控制 · 数学 2024-07-15 Jiang Hu , Kangkang Deng

In this paper, we study communication efficient distributed algorithms for distributionally robust federated learning via periodic averaging with adaptive sampling. In contrast to standard empirical risk minimization, due to the minimax…

机器学习 · 计算机科学 2021-02-26 Yuyang Deng , Mohammad Mahdi Kamani , Mehrdad Mahdavi

In this paper, we design a novel distributed learning algorithm using stochastic compressed communications. In detail, we pursue a modular approach, merging ADMM and a gradient-based approach, benefiting from the robustness of the former…

最优化与控制 · 数学 2025-07-01 Guido Carnevale , Nicola Bastianello

This paper considers a networked system with a finite number of users and supposes that each user tries to minimize its own private objective function over its own private constraint set. It is assumed that each user's constraint set can be…

最优化与控制 · 数学 2015-10-22 Hideaki Iiduka

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

Federated learning (FL) is an emerging machine learning technique that aggregates model attributes from a large number of distributed devices. Several unique features such as energy saving and privacy preserving make FL a highly promising…

网络与互联网体系结构 · 计算机科学 2020-03-04 Haijian Sun , Xiang Ma , Rose Qingyang Hu

In this paper, we study unconstrained distributed optimization strongly convex problems, in which the exchange of information in the network is captured by a directed graph topology over digital channels that have limited capacity (and…

系统与控制 · 电气工程与系统科学 2023-09-12 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

Large scale, non-convex optimization problems arising in many complex networks such as the power system call for efficient and scalable distributed optimization algorithms. Existing distributed methods are usually iterative and require…

最优化与控制 · 数学 2017-10-26 Junyao Guo , Gabriela Hug , Ozan Tonguz

This paper introduces a new method for minimizing matrix-smooth non-convex objectives through the use of novel Compressed Gradient Descent (CGD) algorithms enhanced with a matrix-valued stepsize. The proposed algorithms are theoretically…

最优化与控制 · 数学 2024-04-23 Hanmin Li , Avetik Karagulyan , Peter Richtárik

Matrix-stepsized gradient descent algorithms have been shown to have superior performance in non-convex optimization problems compared to their scalar counterparts. The det-CGD algorithm, as introduced by Li et al. (2023), leverages matrix…

最优化与控制 · 数学 2024-10-11 Hanmin Li , Avetik Karagulyan , Peter Richtárik

Model compression is important in federated learning (FL) with large models to reduce communication cost. Prior works have been focusing on sparsification based compression that could desparately affect the global model accuracy. In this…

机器学习 · 计算机科学 2022-04-05 Shengyuan Hu , Jack Goetz , Kshitiz Malik , Hongyuan Zhan , Zhe Liu , Yue Liu

In this paper, we consider nonconvex minimax optimization, which is gaining prominence in many modern machine learning applications such as GANs. Large-scale edge-based collection of training data in these applications calls for…

最优化与控制 · 数学 2022-03-10 Pranay Sharma , Rohan Panda , Gauri Joshi , Pramod K. Varshney