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This paper proposes a novel distributed semismooth Newton based augmented Lagrangian method for solving a class of optimization problems over networks, where the global objective is defined as the sum of locally held cost functions, and…

最优化与控制 · 数学 2026-03-02 Qihao Ma , Chengjing Wang , Peipei Tang , Dunbiao Niu , Aimin Xu

We propose a communication- and computation-efficient distributed optimization algorithm using second-order information for solving empirical risk minimization (ERM) problems with a nonsmooth regularization term. Our algorithm is applicable…

机器学习 · 计算机科学 2019-12-16 Ching-pei Lee , Cong Han Lim , Stephen J. Wright

There is growing interest in applying distributed machine learning to edge computing, forming federated edge learning. Federated edge learning faces non-i.i.d. and heterogeneous data, and the communication between edge workers, possibly…

机器学习 · 计算机科学 2022-01-27 Canh T. Dinh , Nguyen H. Tran , Tuan Dung Nguyen , Wei Bao , Amir Rezaei Balef , Bing B. Zhou , Albert Y. Zomaya

For distributed computing with Byzantine machines under Privacy Protection (PP) constraints, this paper develops a robust PP distributed quasi-Newton estimation, which only requires the node machines to transmit five vectors to the central…

机器学习 · 统计学 2024-08-23 Chuhan Wang , Lixing Zhu , Xuehu Zhu

To address the communication bottleneck problem in distributed optimization within a master-worker framework, we propose LocalNewton, a distributed second-order algorithm with local averaging. In LocalNewton, the worker machines update…

分布式、并行与集群计算 · 计算机科学 2021-05-18 Vipul Gupta , Avishek Ghosh , Michal Derezinski , Rajiv Khanna , Kannan Ramchandran , Michael Mahoney

We propose a continuous-time second-order optimization algorithm for solving unconstrained convex optimization problems with bounded Hessian. We show that this alternative algorithm has a comparable convergence rate to that of the…

最优化与控制 · 数学 2021-05-21 Hossein Moradian , Solmaz S. Kia

We study stochastic gradient descent (SGD) with local iterations in the presence of malicious/Byzantine clients, motivated by the federated learning. The clients, instead of communicating with the central server in every iteration, maintain…

机器学习 · 统计学 2020-08-18 Deepesh Data , Suhas Diggavi

Byzantine robustness has received significant attention recently given its importance for distributed and federated learning. In spite of this, we identify severe flaws in existing algorithms even when the data across the participants is…

机器学习 · 计算机科学 2021-06-30 Sai Praneeth Karimireddy , Lie He , Martin Jaggi

We introduce CYBER-0, the first zero-order optimization algorithm for memory-and-communication efficient Federated Learning, resilient to Byzantine faults. We show through extensive numerical experiments on the MNIST dataset and finetuning…

机器学习 · 计算机科学 2024-06-21 Afonso de Sá Delgado Neto , Maximilian Egger , Mayank Bakshi , Rawad Bitar

There is growing interest in large-scale machine learning and optimization over decentralized networks, e.g. in the context of multi-agent learning and federated learning. Due to the imminent need to alleviate the communication burden, the…

机器学习 · 统计学 2020-09-02 Boyue Li , Shicong Cen , Yuxin Chen , Yuejie Chi

We consider a distributed reinforcement learning setting where multiple agents separately explore the environment and communicate their experiences through a central server. However, $\alpha$-fraction of agents are adversarial and can…

机器学习 · 计算机科学 2022-06-02 Yiding Chen , Xuezhou Zhang , Kaiqing Zhang , Mengdi Wang , Xiaojin Zhu

This paper proposes and analyzes a communication-efficient distributed optimization framework for general nonconvex nonsmooth signal processing and machine learning problems under an asynchronous protocol. At each iteration, worker machines…

最优化与控制 · 数学 2020-07-15 Jineng Ren , Jarvis Haupt

We consider the problem of distributed statistical machine learning in adversarial settings, where some unknown and time-varying subset of working machines may be compromised and behave arbitrarily to prevent an accurate model from being…

分布式、并行与集群计算 · 计算机科学 2017-10-24 Yudong Chen , Lili Su , Jiaming Xu

In this work, we consider the distributed stochastic optimization problem of minimizing a non-convex function $f(x) = \mathbb{E}_{\xi \sim \mathcal{D}} f(x; \xi)$ in an adversarial setting, where the individual functions $f(x; \xi)$ can…

最优化与控制 · 数学 2019-12-11 Prashant Khanduri , Saikiran Bulusu , Pranay Sharma , Pramod K. Varshney

The problem of distributed optimization requires a group of networked agents to compute a parameter that minimizes the average of their local cost functions. While there are a variety of distributed optimization algorithms that can solve…

多智能体系统 · 计算机科学 2024-09-24 Kananart Kuwaranancharoen , Lei Xin , Shreyas Sundaram

We consider the problem of communication efficient distributed optimization where multiple nodes exchange important algorithm information in every iteration to solve large problems. In particular, we focus on the stochastic variance-reduced…

机器学习 · 计算机科学 2020-03-16 Hossein S. Ghadikolaei , Sindri Magnusson

We study distributed optimization in the presence of Byzantine adversaries, where both data and computation are distributed among $m$ worker machines, $t$ of which may be corrupt. The compromised nodes may collaboratively and arbitrarily…

分布式、并行与集群计算 · 计算机科学 2020-11-05 Deepesh Data , Linqi Song , Suhas Diggavi

Distributed multi-task learning provides significant advantages in multi-agent networks with heterogeneous data sources where agents aim to learn distinct but correlated models simultaneously.However, distributed algorithms for learning…

机器学习 · 计算机科学 2021-01-11 Jiani Li , Waseem Abbas , Xenofon Koutsoukos

For distributed computing environment, we consider the empirical risk minimization problem and propose a distributed and communication-efficient Newton-type optimization method. At every iteration, each worker locally finds an Approximate…

机器学习 · 计算机科学 2018-09-12 Shusen Wang , Farbod Roosta-Khorasani , Peng Xu , Michael W. Mahoney

We propose a distributed cubic regularization of the Newton method for solving (constrained) empirical risk minimization problems over a network of agents, modeled as undirected graph. The algorithm employs an inexact, preconditioned Newton…

最优化与控制 · 数学 2021-06-21 Amir Daneshmand , Gesualdo Scutari , Pavel Dvurechensky , Alexander Gasnikov