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Stochastic gradient descent-based algorithms are widely used for training deep neural networks but often suffer from slow convergence. To address the challenge, we leverage the framework of the alternating direction method of multipliers…

机器学习 · 计算机科学 2025-02-03 Ouya Wang , Shenglong Zhou , Geoffrey Ye Li

We study a class of structured convex optimization problems, which have a two-block separable objective and nonlinear functional constraints as well as affine constraints that couple the two block variables. Such problems naturally arise…

最优化与控制 · 数学 2026-02-27 Zhengjie Xiong , Yangyang Xu

Optimal transport on a graph focuses on finding the most efficient way to transfer resources from one distribution to another while considering the graph's structure. This paper introduces a new distributed algorithm that solves the optimal…

最优化与控制 · 数学 2025-07-08 Yacine Mokhtari , Emmanuel Moulay , Patrick Coirault , Jérôme Le Ny

The alternating direction method of multipliers (ADMM) is widely used for solving large-scale semidefinite programs (SDPs), yet on instances with multiple primal-dual optimal solution pairs, it often enters prolonged slow-convergence…

最优化与控制 · 数学 2026-03-04 Shucheng Kang , Heng Yang

In this paper, we investigate a key problem of Internet of Things (IoT) applications in practice. Our research objective is to optimize the transmission frequencies for a group of IoT edge devices under practical constraints. Our key…

系统与控制 · 电气工程与系统科学 2021-04-16 Hongde Wu , Noel E. O'Connor , Jennifer Bruton , Mingming Liu

An inexact accelerated stochastic Alternating Direction Method of Multipliers (AS-ADMM) scheme is developed for solving structured separable convex optimization problems with linear constraints. The objective function is the sum of a…

最优化与控制 · 数学 2020-10-27 Jianchao Bai , William W. Hager , Hongchao Zhang

Distributed optimization consists of multiple computation nodes working together to minimize a common objective function through local computation iterations and network-constrained communication steps. In the context of robotics,…

机器人学 · 计算机科学 2021-03-25 Trevor Halsted , Ola Shorinwa , Javier Yu , Mac Schwager

Distributed optimization is a fundamental framework for collaborative inference and decision making in decentralized multi-agent systems. The operation is modeled as the joint minimization of a shared objective which typically depends on…

最优化与控制 · 数学 2024-08-21 Yoav Noah , Nir Shlezinger

Big data, including applications with high security requirements, are often collected and stored on multiple heterogeneous devices, such as mobile devices, drones and vehicles. Due to the limitations of communication costs and security…

分布式、并行与集群计算 · 计算机科学 2020-10-05 Hao Chen , Yu Ye , Ming Xiao , Mikael Skoglund , H. Vincent Poor

This paper addresses the problem of efficiently classifying high-dimensional data over decentralized networks. Penalized support vector machines (SVMs) are widely used for high-dimensional classification tasks. However, the double…

机器学习 · 统计学 2025-03-11 Canyi Chen , Nan Qiao , Liping Zhu

In this paper, we propose a novel distributed alternating direction method of multipliers (ADMM) algorithm with synergetic communication and computation, called SCCD-ADMM, to reduce the total communication and computation cost of the…

信号处理 · 电气工程与系统科学 2020-09-30 Zhuojun Tian , Zhaoyang Zhang , Jue Wang , Xiaoming Chen , Wei Wang , Huaiyu Dai

In this paper, we study efficient differentially private alternating direction methods of multipliers (ADMM) via gradient perturbation for many machine learning problems. For smooth convex loss functions with (non)-smooth regularization, we…

机器学习 · 计算机科学 2020-11-03 Tao Xu , Fanhua Shang , Yuanyuan Liu , Hongying Liu , Longjie Shen , Maoguo Gong

We consider primal-dual algorithms for general empirical risk minimization problems in distributed settings, focusing on two prominent classes of algorithms. The first class is the communication-efficient distributed dual coordinate ascent…

最优化与控制 · 数学 2025-10-24 Runxiong Wu , Dong Liu , Xueqin Wang , Andi Wang

Alternating Direction Method of Multiplier (ADMM) has been a popular algorithmic framework for separable optimization problems with linear constraints. For numerical ADMM fail to exploit the particular structure of the problem at hand nor…

计算机视觉与模式识别 · 计算机科学 2021-09-07 Risheng Liu , Pan Mu , Jin Zhang

This paper addresses distributed state estimation for multi-agent systems with local and relative measurements, motivated by cooperative localization problems in which the global state dimension scales with the size of the network. We…

系统与控制 · 电气工程与系统科学 2026-04-24 Nicola De Carli , Nicola Bastianello , Dimos V. Dimarogonas

Alternating direction methods of multipliers (ADMMs) are popular approaches to handle large scale semidefinite programs that gained attention during the past decade. In this paper, we focus on solving doubly nonnegative programs (DNN),…

最优化与控制 · 数学 2020-09-15 Martina Cerulli , Marianna De Santis , Elisabeth Gaar , Angelika Wiegele

In this work, we propose a (linearized) Alternating Direction Method-of-Multipliers (ADMM) algorithm for minimizing a convex function subject to a nonconvex constraint. We focus on the special case where such constraint arises from the…

机器学习 · 计算机科学 2019-07-09 Fabian Latorre Gómez , Armin Eftekhari , Volkan Cevher

We consider the problem of minimizing the sum of cost functions pertaining to agents over a network whose topology is captured by a directed graph (i.e., asymmetric communication). We cast the problem into the ADMM setting, via a consensus…

最优化与控制 · 数学 2023-04-04 Dingran Yi , Nikolaos M. Freris

The alternating direction method of multipliers (ADMM) has been popular for solving many signal processing problems, convex or nonconvex. In this paper, we study an asynchronous implementation of the ADMM for solving a nonconvex nonsmooth…

信息论 · 计算机科学 2014-12-19 Mingyi Hong

We address distributed learning problems over undirected networks. Specifically, we focus on designing a novel ADMM-based algorithm that is jointly computation- and communication-efficient. Our design guarantees computational efficiency by…

机器学习 · 计算机科学 2026-01-21 Xiaoxing Ren , Nicola Bastianello , Karl H. Johansson , Thomas Parisini