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Recommender systems are essential tools in the digital landscape for connecting users with content that more closely aligns with their preferences. Matrix completion is a widely used statistical framework for such systems, aiming to predict…

机器学习 · 统计学 2025-07-30 Aurore Archimbaud , Andreas Alfons , Ines Wilms

In this paper, we propose a unified framework of inexact stochastic Alternating Direction Method of Multipliers (ADMM) for solving nonconvex problems subject to linear constraints, whose objective comprises an average of finite-sum smooth…

最优化与控制 · 数学 2024-03-05 Yuxuan Zeng , Jianchao Bai , Shengjia Wang , Zhiguo Wang

In this work, we present a hardware compatible neural network training algorithm in which we used alternating direction method of multipliers (ADMM) and iterative least-square methods. The motive behind this approach was to conduct a method…

机器学习 · 计算机科学 2020-09-08 Seyedeh Niusha Alavi Foumani , Ce Guo , Wayne Luk

Cooperative control is crucial for the effective operation of dynamical multi-agent systems. Especially for distributed control schemes, it is essential to exchange data between the agents. This becomes a privacy threat if the data is…

系统与控制 · 电气工程与系统科学 2024-12-19 Philipp Binfet , Janis Adamek , Nils Schlüter , Moritz Schulze Darup

We consider a multi-block separable convex optimization problem with the linear constraints, where the objective function is the sum of m individual convex functions without overlapping variables. The linearized version of the generalized…

最优化与控制 · 数学 2022-04-19 He Jian , Zhang Bangzhong , Li Jinlin

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 the problems of Private and Secure Matrix Multiplication (PSMM) and Fully Private Matrix Multiplication (FPMM), for which matrices privately selected by a master node are multiplied at distributed worker nodes without revealing…

信息论 · 计算机科学 2022-06-24 Jinbao Zhu , Songze Li

Spectral clustering has emerged as one of the most effective clustering algorithms due to its superior performance. However, most existing models are designed for centralized settings, rendering them inapplicable in modern decentralized…

机器学习 · 计算机科学 2026-04-17 Suyan Dai , Gan Sun , Fazeng Li , Xu Tang , Qianqian Wang , Yang Cong

We study differentially private (DP) machine learning algorithms as instances of noisy fixed-point iterations, in order to derive privacy and utility results from this well-studied framework. We show that this new perspective recovers…

机器学习 · 计算机科学 2023-07-13 Edwige Cyffers , Aurélien Bellet , Debabrota Basu

This paper examines online distributed Alternating Direction Method of Multipliers (ADMM). The goal is to distributively optimize a global objective function over a network of decision makers under linear constraints. The global objective…

最优化与控制 · 数学 2015-10-05 Saghar Hosseini , Airlie Chapman , Mehran Mesbahi

Federated learning (FL) has emerged as a groundbreaking paradigm in machine learning (ML), offering privacy-preserving collaborative model training across diverse datasets. Despite its promise, FL faces significant hurdles in…

机器学习 · 计算机科学 2025-06-24 Christian Internò , Markus Olhofer , Yaochu Jin , Barbara Hammer

Alternating direction method of multipliers (ADMM) is a popular first-order method owing to its simplicity and efficiency. However, similar to other proximal splitting methods, the performance of ADMM degrades significantly when the scale…

最优化与控制 · 数学 2021-08-11 Fengmiao Bian , Jingwei Liang , Xiaoqun Zhang

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

Alternating Direction Method of Multipliers (ADMM) algorithm has been widely adopted for solving the distributed optimization problem (DOP). In this paper, a new distributed parallel ADMM algorithm is proposed, which allows the agents to…

最优化与控制 · 数学 2021-11-23 Ziye Liu , Fanghong Guo , Wei Wang , Xiaoqun Wu

This article reports an algorithm for multi-agent distributed optimization problems with a common decision variable, local linear equality and inequality constraints and set constraints with convergence rate guarantees.…

系统与控制 · 电气工程与系统科学 2022-11-17 Vivek Khatana , Murti V. Salapaka

By coordinating terminal smart devices or microprocessors to engage in cooperative computation to achieve systemlevel targets, distributed optimization is incrementally favored by both engineering and computer science. The well-known…

分布式、并行与集群计算 · 计算机科学 2022-08-24 Yu Yang , Xiaohong Guan , Qing-Shan Jia , Liang Yu , Bolun Xu , Costas J. Spanos

The classic Alternating Direction Method of Multipliers (ADMM) is a popular framework to solve linear-equality constrained problems. In this paper, we extend the ADMM naturally to nonlinear equality-constrained problems, called neADMM. The…

最优化与控制 · 数学 2021-03-17 Junxiang Wang , Liang Zhao

Low-rank matrix approximation (LRMA) has been arisen in many applications, such as dynamic MRI, recommendation system and so on. The alternating direction method of multipliers (ADMM) has been designed for the nuclear norm regularized least…

最优化与控制 · 数学 2023-12-05 Zekun Liu

In this paper, we review the parallel and distributed optimization algorithms based on alternating direction method of multipliers (ADMM) for solving "big data" optimization problem in smart grid communication networks. We first introduce…

系统与控制 · 计算机科学 2015-03-03 Lanchao Liu , Zhu Han

In federated learning (FL), the assumption that datasets from different devices are independent and identically distributed (i.i.d.) often does not hold due to user differences, and the presence of various data modalities across clients…

机器学习 · 计算机科学 2025-06-06 Shengkun Zhu , Feiteng Nie , Jinshan Zeng , Sheng Wang , Yuan Sun , Yuan Yao , Shangfeng Chen , Quanqing Xu , Chuanhui Yang