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Federated Learning (FL) is an increasingly popular machine learning paradigm in which multiple nodes try to collaboratively learn under privacy, communication and multiple heterogeneity constraints. A persistent problem in federated…

Machine Learning · Computer Science 2022-02-24 Elnur Gasanov , Ahmed Khaled , Samuel Horváth , Peter Richtárik

Federated learning is a new distributed machine learning framework, where a bunch of heterogeneous clients collaboratively train a model without sharing training data. In this work, we consider a practical and ubiquitous issue when…

Machine Learning · Statistics 2023-09-06 Yikai Yan , Chaoyue Niu , Yucheng Ding , Zhenzhe Zheng , Fan Wu , Guihai Chen , Shaojie Tang , Zhihua Wu

We study distributed composite optimization over networks: agents minimize the sum of a smooth (strongly) convex function, the agents' sum-utility, plus a non-smooth (extended-valued) convex one. We propose a general algorithmic framework…

Optimization and Control · Mathematics 2019-10-23 Jinming Xu , Ying Sun , Ye Tian , Gesualdo Scutari

We introduce a new and increasingly relevant setting for distributed optimization in machine learning, where the data defining the optimization are unevenly distributed over an extremely large number of nodes. The goal is to train a…

Machine Learning · Computer Science 2016-10-11 Jakub Konečný , H. Brendan McMahan , Daniel Ramage , Peter Richtárik

The Douglas--Rachford algorithm is a classic splitting method for finding a zero of the sum of two maximal monotone operators. It has also been applied to settings that involve one weakly and one strongly monotone operator. In this work, we…

Optimization and Control · Mathematics 2025-11-07 Jan Harold Alcantara , Akiko Takeda

Algorithm unrolling has emerged as a learning-based optimization paradigm that unfolds truncated iterative algorithms in trainable neural-network optimizers. We introduce Stochastic UnRolled Federated learning (SURF), a method that expands…

Machine Learning · Computer Science 2024-02-08 Samar Hadou , Navid NaderiAlizadeh , Alejandro Ribeiro

The ever-growing volume and decentralized nature of data, coupled with the need to harness it and extract knowledge, have led to the extensive use of distributed deep learning (DDL) techniques for training. These techniques rely on local…

Machine Learning · Computer Science 2024-11-22 Michail Theologitis , Georgios Frangias , Georgios Anestis , Vasilis Samoladas , Antonios Deligiannakis

We consider strongly convex-concave minimax problems in the federated setting, where the communication constraint is the main bottleneck. When clients are arbitrarily heterogeneous, a simple Minibatch Mirror-prox achieves the best…

Machine Learning · Computer Science 2021-02-15 Charlie Hou , Kiran K. Thekumparampil , Giulia Fanti , Sewoong Oh

Federated learning is an emerging distributed machine learning method, enables a large number of clients to train a model without exchanging their local data. The time cost of communication is an essential bottleneck in federated learning,…

Machine Learning · Computer Science 2023-09-19 Hao Sun , Li Shen , Shixiang Chen , Jingwei Sun , Jing Li , Guangzhong Sun , Dacheng Tao

The Douglas-Rachford algorithm is widely used in sparse signal processing for minimizing a sum of two convex functions. In this paper, we consider the case where one of the functions is weakly convex but the other is strongly convex so that…

Optimization and Control · Mathematics 2015-11-13 İlker Bayram , Ivan W. Selesnick

Federated recommendations leverage the federated learning (FL) techniques to make privacy-preserving recommendations. Though recent success in the federated recommender system, several vital challenges remain to be addressed: (i) The…

Information Retrieval · Computer Science 2022-08-25 Sichun Luo , Yuanzhang Xiao , Yang Liu , Congduan Li , Linqi Song

Federated Learning (FL) has shown great potential as a privacy-preserving solution to learning from decentralized data that are only accessible to end devices (i.e., clients). In many scenarios, however, a large proportion of the clients…

Machine Learning · Computer Science 2022-01-31 Wentai Wu , Ligang He , Weiwei Lin , Carsten Maple

We present complexity and numerical results for a new asynchronous parallel algorithmic method for the minimization of the sum of a smooth nonconvex function and a convex nonsmooth regularizer, subject to both convex and nonconvex…

Optimization and Control · Mathematics 2017-01-23 Loris Cannelli , Francisco Facchinei , Vyacheslav Kungurtsev , Gesualdo Scutari

In this paper, we develop a new type of accelerated algorithms to solve some classes of maximally monotone equations as well as monotone inclusions. Instead of using Nesterov's accelerating approach, our methods rely on a so-called…

Optimization and Control · Mathematics 2021-12-08 Quoc Tran-Dinh , Yang Luo

Conditional stochastic optimization has found applications in a wide range of machine learning tasks, such as invariant learning, AUPRC maximization, and meta-learning. As the demand for training models with large-scale distributed data…

Machine Learning · Computer Science 2023-10-05 Xidong Wu , Jianhui Sun , Zhengmian Hu , Junyi Li , Aidong Zhang , Heng Huang

The Douglas-Rachford algorithm is a very popular splitting technique for finding a zero of the sum of two maximally monotone operators. However, the behaviour of the algorithm remains mysterious in the general inconsistent case, i.e., when…

Optimization and Control · Mathematics 2016-04-21 Heinz H. Bauschke , Walaa M. Moursi

Tensor factorization with hard and/or soft constraints has played an important role in signal processing and data analysis. However, existing algorithms for constrained tensor factorization have two drawbacks: (i) they require…

Numerical Analysis · Mathematics 2024-07-01 Shunsuke Ono , Takuma Kasai

We propose a new variant of AMSGrad, a popular adaptive gradient based optimization algorithm widely used for training deep neural networks. Our algorithm adds prior knowledge about the sequence of consecutive mini-batch gradients and…

Machine Learning · Statistics 2020-11-04 Jun-Kun Wang , Xiaoyun Li , Belhal Karimi , Ping Li

Convex-nonconvex (CNC) regularization is a novel paradigm that employs a nonconvex penalty function while maintaining the convexity of the entire objective function. It has been successfully applied to problems in signal processing,…

Optimization and Control · Mathematics 2025-02-21 Qiang Heng , Xiaoqian Liu , Eric C. Chi

Federated learning has attracted significant attention as a privacy-preserving framework for training personalised models on multi-source heterogeneous data. However, most existing approaches are unable to handle scenarios where subgroup…

Methodology · Statistics 2025-10-14 Changxin Yang , Zhongyi Zhu , Heng Lian