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This paper extends algorithms that remove the fixed point bias of decentralized gradient descent to solve the more general problem of distributed optimization over subspace constraints. Leveraging the integral quadratic constraint…

Optimization and Control · Mathematics 2022-10-31 Dennis J. Marquis , Dany Abou Jaoude , Mazen Farhood , Craig A. Woolsey

Federated Learning (FL) is a distributed learning approach that trains machine learning models across multiple devices while keeping their local data private. However, FL often faces challenges due to data heterogeneity, leading to…

Machine Learning · Computer Science 2025-10-21 Dun Zeng , Zheshun Wu , Shiyu Liu , Yu Pan , Xiaoying Tang , Zenglin Xu

We proposed an iterate scheme for solving convex-concave saddle-point problems associated with general convex-concave functions. We demonstrated that when our iterate scheme is applied to a special class of convex-concave functions, which…

Optimization and Control · Mathematics 2023-11-01 Hui Ouyang

Federated learning is a machine learning training paradigm that enables clients to jointly train models without sharing their own localized data. However, the implementation of federated learning in practice still faces numerous challenges,…

Machine Learning · Computer Science 2023-04-21 Yujia Wang , Lu Lin , Jinghui Chen

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…

Machine Learning · Computer Science 2021-02-26 Yuyang Deng , Mohammad Mahdi Kamani , Mehrdad Mahdavi

Federated learning has emerged as a promising, massively distributed way to train a joint deep model over large amounts of edge devices while keeping private user data strictly on device. In this work, motivated from ensuring fairness among…

Machine Learning · Computer Science 2023-01-25 Zeou Hu , Kiarash Shaloudegi , Guojun Zhang , Yaoliang Yu

Finding multiple solutions of non-convex optimization problems is a ubiquitous yet challenging task. Most past algorithms either apply single-solution optimization methods from multiple random initial guesses or search in the vicinity of…

Machine Learning · Computer Science 2023-03-03 Lingxiao Li , Noam Aigerman , Vladimir G. Kim , Jiajin Li , Kristjan Greenewald , Mikhail Yurochkin , Justin Solomon

As a prevalent distributed learning paradigm, Federated Learning (FL) trains a global model on a massive amount of devices with infrequent communication. This paper investigates a class of composite optimization and statistical recovery…

Machine Learning · Computer Science 2022-10-04 Yajie Bao , Michael Crawshaw , Shan Luo , Mingrui Liu

We consider a general multi-agent convex optimization problem where the agents are to collectively minimize a global objective function subject to a global inequality constraint, a global equality constraint, and a global constraint set.…

Optimization and Control · Mathematics 2011-05-13 Minghui Zhu , Sonia Martinez

Constrained quasiconvex optimization problems appear in many fields, such as economics, engineering, and management science. In particular, fractional programming, which models ratio indicators such as the profit/cost ratio as fractional…

Optimization and Control · Mathematics 2019-09-02 Kazuhiro Hishinuma , Hideaki Iiduka

Federated learning (FL) aims to minimize the communication complexity of training a model over heterogeneous data distributed across many clients. A common approach is local methods, where clients take multiple optimization steps over local…

Machine Learning · Computer Science 2023-04-18 Charlie Hou , Kiran K. Thekumparampil , Giulia Fanti , Sewoong Oh

We present a class of iterative fully distributed fixed point methods to solve a system of linear equations, such that each agent in the network holds one of the equations of the system. Under a generic directed, strongly connected network,…

Numerical Analysis · Mathematics 2020-01-16 Dusan Jakovetic , Natasa Krejic , Natasa Krklec Jerinkic , Greta Malaspina , Alessandra Micheletti

Mobile crowdsensing has gained significant attention in recent years and has become a critical paradigm for emerging Internet of Things applications. The sensing devices continuously generate a significant quantity of data, which provide…

Machine Learning · Computer Science 2020-02-07 Zhouyuan Huo , Qian Yang , Bin Gu , Lawrence Carin. Heng Huang

Learning an effective global model on private and decentralized datasets has become an increasingly important challenge of machine learning when applied in practice. Existing distributed learning paradigms, such as Federated Learning,…

Machine Learning · Computer Science 2023-06-05 Tengfei Ma , Trong Nghia Hoang , Jie Chen

We revisit the classical Local SGD and Federated Averaging (FedAvg) methods for distributed optimization and federated learning. While prior work has primarily focused on iteration complexity, we analyze these methods through the lens of…

Optimization and Control · Mathematics 2025-09-30 Adrien Fradin , Peter Richtárik , Alexander Tyurin

Federated Averaging (FedAvg, also known as Local-SGD) (McMahan et al., 2017) is a classical federated learning algorithm in which clients run multiple local SGD steps before communicating their update to an orchestrating server. We propose…

Machine Learning · Computer Science 2021-08-11 Haoyu Zhao , Zhize Li , Peter Richtárik

We study dual-based algorithms for distributed convex optimization problems over networks, where the objective is to minimize a sum $\sum_{i=1}^{m}f_i(z)$ of functions over in a network. We provide complexity bounds for four different…

Optimization and Control · Mathematics 2020-03-17 César A. Uribe , Soomin Lee , Alexander Gasnikov , Angelia Nedić

Decentralized optimization methods often entail information exchange between neighbors. Transmission failures can happen due to network congestion, hardware/software issues, communication outage, and other factors. In this paper, we…

Machine Learning · Computer Science 2024-01-05 Wenjing Yan , Xuanyu Cao

We consider strongly convex distributed consensus optimization over connected networks. EFIX, the proposed method, is derived using quadratic penalty approach. In more detail, we use the standard reformulation { transforming the original…

Optimization and Control · Mathematics 2020-12-11 Dusan Jakovetic , Natasa Krejic , Natasa Krklec Jerinkic

Distributed optimization has many applications, in communication networks, sensor networks, signal processing, machine learning, and artificial intelligence. Methods for distributed convex optimization are widely investigated, while those…

Optimization and Control · Mathematics 2021-06-22 Hsu Kao , Vijay Subramanian
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