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First-order methods for minimization and saddle point (min-max) problems are widely used for solving large-scale problems, in particular arising in machine learning. The majority of works obtain favorable complexity guarantees of such…

In this paper, we design two compressed decentralized algorithms for solving nonconvex stochastic optimization under two different scenarios. Both algorithms adopt a momentum technique to achieve fast convergence and a message-compression…

We propose a new family of multilevel methods for unconstrained minimization. The resulting strategies are multilevel extensions of high-order optimization methods based on q-order Taylor models (with q >= 1) that have been recently…

数值分析 · 数学 2019-04-10 Henri Calandra , Serge Gratton , Elisa Riccietti , Xavier Vasseur

Federated learning (FL) is a distributed machine learning paradigm in which a large number of clients coordinate with a central server to learn a model without sharing their own training data. One central server is not enough, due to…

Matrix-parametrized models, including multiclass logistic regression and sparse coding, are used in machine learning (ML) applications ranging from computer vision to computational biology. When these models are applied to large-scale ML…

机器学习 · 计算机科学 2015-11-30 Pengtao Xie , Jin Kyu Kim , Yi Zhou , Qirong Ho , Abhimanu Kumar , Yaoliang Yu , Eric Xing

Matrix-parametrized models, including multiclass logistic regression and sparse coding, are used in machine learning (ML) applications ranging from computer vision to computational biology. When these models are applied to large-scale ML…

机器学习 · 计算机科学 2015-09-08 Pengtao Xie , Jin Kyu Kim , Yi Zhou , Qirong Ho , Abhimanu Kumar , Yaoliang Yu , Eric Xing

In decentralized optimization over networks, each node in the network has a portion of the global objective function and the aim is to collectively optimize this function. Gradient tracking methods have emerged as a popular alternative for…

最优化与控制 · 数学 2023-12-13 Albert S. Berahas , Raghu Bollapragada , Shagun Gupta

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 addresses the communication issues when estimating hyper-gradients in decentralized federated learning (FL). Hyper-gradients in decentralized FL quantifies how the performance of globally shared optimal model is influenced by the…

机器学习 · 统计学 2023-06-14 Naoyuki Terashita , Satoshi Hara

In multi-robot systems, achieving coordinated missions remains a significant challenge due to the coupled nature of coordination behaviors and the lack of global information for individual robots. To mitigate these challenges, this paper…

机器人学 · 计算机科学 2024-08-22 Zechen Hu , Daigo Shishika , Xuesu Xiao , Xuan Wang

We introduce a framework based on bilevel programming that unifies gradient-based hyperparameter optimization and meta-learning. We show that an approximate version of the bilevel problem can be solved by taking into explicit account the…

机器学习 · 统计学 2018-07-04 Luca Franceschi , Paolo Frasconi , Saverio Salzo , Riccardo Grazzi , Massimilano Pontil

Distributed synchronous stochastic gradient descent has been widely used to train deep neural networks on computer clusters. With the increase of computational power, network communications have become one limiting factor on system…

分布式、并行与集群计算 · 计算机科学 2018-12-04 Shaohuai Shi , Xiaowen Chu , Bo Li

This paper proposes a two-timescale compressed primal-dual (TiCoPD) algorithm for decentralized optimization with improved communication efficiency over prior works on primal-dual decentralized optimization. The algorithm is built upon the…

最优化与控制 · 数学 2025-01-13 Haoming Liu , Chung-Yiu Yau , Hoi-To Wai

Semi-decentralized federated learning blends the conventional device to-server (D2S) interaction structure of federated model training with localized device-to-device (D2D) communications. We study this architecture over practical edge…

分布式、并行与集群计算 · 计算机科学 2023-07-24 Rohit Parasnis , Seyyedali Hosseinalipour , Yun-Wei Chu , Mung Chiang , Christopher G. Brinton

Decentralized optimization is an emerging paradigm in distributed learning in which agents achieve network-wide solutions by peer-to-peer communication without the central server. Since communication tends to be slower than computation,…

最优化与控制 · 数学 2023-03-14 Zhuoqing Song , Weijian Li , Kexin Jin , Lei Shi , Ming Yan , Wotao Yin , Kun Yuan

Hierarchical decision making problems, such as bilevel programs and Stackelberg games, are attracting increasing interest in both the engineering and machine learning communities. Yet, existing solution methods lack either convergence…

Federated Learning (FL) is a well-known framework for successfully performing a learning task in an edge computing scenario where the devices involved have limited resources and incomplete data representation. The basic assumption of FL is…

This paper considers the decentralized optimization problem of minimizing a finite sum of strongly convex and twice continuously differentiable functions over a fixed-connected undirected network. A fully decentralized primal-dual…

最优化与控制 · 数学 2024-10-02 Liping Wang , Hao Wu , Hongchao Zhang

Federated learning (FL) is a promising and powerful approach for training deep learning models without sharing the raw data of clients. During the training process of FL, the central server and distributed clients need to exchange a vast…

机器学习 · 计算机科学 2021-04-27 Zhefeng Qiao , Xianghao Yu , Jun Zhang , Khaled B. Letaief

Decentralized optimization is crucial for multi-agent systems, with significant concerns about communication efficiency and privacy. This paper explores the role of efficient communication in decentralized stochastic gradient descent…

系统与控制 · 电气工程与系统科学 2025-06-10 Wei Huo , Changxin Liu , Kemi Ding , Karl Henrik Johansson , Ling Shi