English
Related papers

Related papers: Stochastic Alternating Direction Method of Multipl…

200 papers

The alternating direction method of multipliers (ADM or ADMM) breaks a complex optimization problem into much simpler subproblems. The ADM algorithms are typically short and easy to implement yet exhibit (nearly) state-of-the-art…

Optimization and Control · Mathematics 2021-02-02 Ming Yan , Wotao Yin

Alternating Direction Method of Multipliers (ADMM) is a popular method for solving large-scale Machine Learning problems. Stochastic ADMM was proposed to reduce the per iteration computational complexity, which is more suitable for big data…

Numerical Analysis · Computer Science 2023-04-25 Chao Zhang , Zebang Shen , Hui Qian , Tengfei Zhou , Jianya Zhou , Jianying Zhou

In this paper, we study a general optimization model, which covers a large class of existing models for many applications in imaging sciences. To solve the resulting possibly nonconvex, nonsmooth and non-Lipschitz optimization problem, we…

Optimization and Control · Mathematics 2016-09-30 Lei Yang , Ting Kei Pong , Xiaojun Chen

The distributed source coding problem is considered when the sensors, or encoders, are under Byzantine attack; that is, an unknown number of sensors have been reprogrammed by a malicious intruder to undermine the reconstruction at the…

Information Theory · Computer Science 2007-07-13 Oliver Kosut , Lang Tong

This paper develops an adaptive proximal alternating direction method of multipliers (ADMM) for solving linearly constrained, composite optimization problems under the assumption that the smooth component of the objective is weakly convex,…

Optimization and Control · Mathematics 2026-05-04 Leandro Farias Maia , David H. Gutman , Renato D. C. Monteiro , Gilson N. Silva

Robust distributed learning algorithms aim to maintain reliable performance despite the presence of misbehaving workers. Such misbehaviors are commonly modeled as Byzantine failures, allowing arbitrarily corrupted communication, or as data…

Machine Learning · Computer Science 2025-10-17 Thomas Boudou , Batiste Le Bars , Nirupam Gupta , Aurélien Bellet

We propose a novel robust aggregation rule for distributed synchronous Stochastic Gradient Descent~(SGD) under a general Byzantine failure model. The attackers can arbitrarily manipulate the data transferred between the servers and the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-25 Cong Xie , Oluwasanmi Koyejo , Indranil Gupta

In a recent paper, Jaggi et al. (INFOCOM 2007), presented a distributed polynomial-time rate-optimal network-coding scheme that works in the presence of Byzantine faults. We revisit their adversarial models and augment them with three,…

Information Theory · Computer Science 2008-02-06 Leah Nutman , Michael Langberg

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…

Machine Learning · Computer Science 2020-09-08 Seyedeh Niusha Alavi Foumani , Ce Guo , Wayne Luk

Recently, decentralized learning has emerged as a popular peer-to-peer signal and information processing paradigm that enables model training across geographically distributed agents in a scalable manner, without the presence of any central…

Machine Learning · Computer Science 2024-07-12 Haoxiang Ye , Qing Ling

We introduce and solve the problem of Byzantine fault tolerant distributed quickest change detection in both continuous and discrete time setups. In this problem, multiple sensors sequentially observe random signals from the environment and…

Probability · Mathematics 2014-12-30 Erhan Bayraktar , Lifeng Lai

Consider a set of N agents seeking to solve distributively the minimization problem $\inf_{x} \sum_{n = 1}^N f_n(x)$ where the convex functions $f_n$ are local to the agents. The popular Alternating Direction Method of Multipliers has the…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-12-30 Franck Iutzeler , Pascal Bianchi , Philippe Ciblat , Walid Hachem

In this paper, we propose a zeroth-order resilient distributed online algorithm for networks under Byzantine edge attacks. We assume that both the edges attacked by Byzantine adversaries and the objective function are time-varying.…

Optimization and Control · Mathematics 2025-11-10 Yuhang Liu , Wenjun Mei

Distributed model training is vulnerable to byzantine system failures and adversarial compute nodes, i.e., nodes that use malicious updates to corrupt the global model stored at a parameter server (PS). To guarantee some form of robustness,…

Machine Learning · Statistics 2018-06-25 Lingjiao Chen , Hongyi Wang , Zachary Charles , Dimitris Papailiopoulos

In distributed optimization and federated learning, asynchronous alternating direction method of multipliers (ADMM) serves as an attractive option for large-scale optimization, data privacy, straggler nodes and variety of objective…

Machine Learning · Computer Science 2025-08-19 Sagar Shrestha

In this paper, we propose a generalized alternating direction method of multipliers (ADMM) with semi-proximal terms for solving a class of convex composite conic optimization problems, of which some are high-dimensional, to moderate…

Optimization and Control · Mathematics 2018-01-17 Yunhai Xiao , Liang Chen , Donghui Li

The problem of saddle-point avoidance for non-convex optimization is quite challenging in large scale distributed learning frameworks, such as Federated Learning, especially in the presence of Byzantine workers. The celebrated…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-30 Avishek Ghosh , Raj Kumar Maity , Arya Mazumdar , Kannan Ramchandran

The stable principal component pursuit (SPCP) is a non-smooth convex optimization problem, the solution of which enables one to reliably recover the low rank and sparse components of a data matrix which is corrupted by a dense noise matrix,…

Optimization and Control · Mathematics 2015-02-10 Necdet Serhat Aybat , Garud Iyengar

This paper considers the policy evaluation problem in a multi-agent reinforcement learning (MARL) environment over decentralized and directed networks. The focus is on decentralized temporal difference (TD) learning with linear function…

Optimization and Control · Mathematics 2021-09-01 Zhaoxian Wu , Han Shen , Tianyi Chen , Qing Ling

We develop a communication-efficient distributed learning algorithm that is robust against Byzantine worker machines. We propose and analyze a distributed gradient-descent algorithm that performs a simple thresholding based on gradient…

Machine Learning · Computer Science 2021-08-17 Avishek Ghosh , Raj Kumar Maity , Swanand Kadhe , Arya Mazumdar , Kannan Ramchandran
‹ Prev 1 8 9 10 Next ›