Randomized Kaczmarz in Adversarial Distributed Setting

Fuente: arXiv
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Auteurs principaux: Huang, Longxiu, Li, Xia, Needell, Deanna
Format: Preprint
Publié: 2023
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author Huang, Longxiu
Li, Xia
Needell, Deanna
author_facet Huang, Longxiu
Li, Xia
Needell, Deanna
contents Developing large-scale distributed methods that are robust to the presence of adversarial or corrupted workers is an important part of making such methods practical for real-world problems. In this paper, we propose an iterative approach that is adversary-tolerant for convex optimization problems. By leveraging simple statistics, our method ensures convergence and is capable of adapting to adversarial distributions. Additionally, the efficiency of the proposed methods for solving convex problems is shown in simulations with the presence of adversaries. Through simulations, we demonstrate the efficiency of our approach in the presence of adversaries and its ability to identify adversarial workers with high accuracy and tolerate varying levels of adversary rates.
format Preprint
id arxiv_https___arxiv_org_abs_2302_14615
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Randomized Kaczmarz in Adversarial Distributed Setting
Huang, Longxiu
Li, Xia
Needell, Deanna
Optimization and Control
Cryptography and Security
Machine Learning
Numerical Analysis
65F20, 65F10, 65K10
Developing large-scale distributed methods that are robust to the presence of adversarial or corrupted workers is an important part of making such methods practical for real-world problems. In this paper, we propose an iterative approach that is adversary-tolerant for convex optimization problems. By leveraging simple statistics, our method ensures convergence and is capable of adapting to adversarial distributions. Additionally, the efficiency of the proposed methods for solving convex problems is shown in simulations with the presence of adversaries. Through simulations, we demonstrate the efficiency of our approach in the presence of adversaries and its ability to identify adversarial workers with high accuracy and tolerate varying levels of adversary rates.
title Randomized Kaczmarz in Adversarial Distributed Setting
topic Optimization and Control
Cryptography and Security
Machine Learning
Numerical Analysis
65F20, 65F10, 65K10
url https://arxiv.org/abs/2302.14615