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In this paper, we present a scalable distributed implementation of the Sampled Limited-memory Symmetric Rank-1 (S-LSR1) algorithm. First, we show that a naive distributed implementation of S-LSR1 requires multiple rounds of expensive…

最优化与控制 · 数学 2020-05-15 Majid Jahani , Mohammadreza Nazari , Sergey Rusakov , Albert S. Berahas , Martin Takáč

The problem of minimizing the sum of $n$ functions in $d$ dimensions is ubiquitous in machine learning and statistics. In many applications where the number of observations $n$ is large, it is necessary to use incremental or stochastic…

最优化与控制 · 数学 2024-03-13 Aakash Lahoti , Spandan Senapati , Ketan Rajawat , Alec Koppel

One of the most important problems in the field of distributed optimization is the problem of minimizing a sum of local convex objective functions over a networked system. Most of the existing work in this area focus on developing…

最优化与控制 · 数学 2019-01-08 Fatemeh Mansoori , Ermin Wei

Recurrent Neural Networks (RNNs) are powerful models that achieve exceptional performance on several pattern recognition problems. However, the training of RNNs is a computationally difficult task owing to the well-known…

机器学习 · 计算机科学 2016-02-25 Nitish Shirish Keskar , Albert S. Berahas

This paper considers an optimization problem that components of the objective function are available at different nodes of a network and nodes are allowed to only exchange information with their neighbors. The decentralized alternating…

最优化与控制 · 数学 2015-11-27 Aryan Mokhtari , Wei Shi , Qing Ling , Alejandro Ribeiro

Although first-order stochastic algorithms, such as stochastic gradient descent, have been the main force to scale up machine learning models, such as deep neural nets, the second-order quasi-Newton methods start to draw attention due to…

最优化与控制 · 数学 2020-11-03 Qianqian Tong , Guannan Liang , Xingyu Cai , Chunjiang Zhu , Jinbo Bi

This paper develops a novel approach to the consensus problem of multi-agent systems by minimizing a weighted state error with neighbor agents via linear quadratic (LQ) optimal control theory. Existing consensus control algorithms only…

最优化与控制 · 数学 2024-03-19 Liping Zhang , Juanjuan Xu , Huanshui Zhang , Lihua Xie

Communication efficiency is a major bottleneck in the applications of distributed networks. To address the problem, the problem of quantized distributed optimization has attracted a lot of attention. However, most of the existing quantized…

最优化与控制 · 数学 2022-11-01 Yongyang Xiong , Ligang Wu , Keyou You , Lihua Xie

Asynchronous distributed algorithms are a popular way to reduce synchronization costs in large-scale optimization, and in particular for neural network training. However, for nonsmooth and nonconvex objectives, few convergence guarantees…

最优化与控制 · 数学 2020-07-14 Vyacheslav Kungurtsev , Malcolm Egan , Bapi Chatterjee , Dan Alistarh

We design a low complexity decentralized learning algorithm to train a recently proposed large neural network in distributed processing nodes (workers). We assume the communication network between the workers is synchronized and can be…

机器学习 · 计算机科学 2020-09-30 Xinyue Liang , Alireza M. Javid , Mikael Skoglund , Saikat Chatterjee

In distributed Software-Defined Networking (SDN), distributed SDN controllers require synchronization to maintain a global network state. Despite the availability of synchronization policies for distributed SDN architectures, most policies…

网络与互联网体系结构 · 计算机科学 2025-08-18 Ioannis Panitsas , Akrit Mudvari , Leandros Tassiulas

A computing cluster that interconnects multiple compute nodes is used to accelerate distributed reinforcement learning based on DQN (Deep Q-Network). In distributed reinforcement learning, Actor nodes acquire experiences by interacting with…

分布式、并行与集群计算 · 计算机科学 2023-03-13 Masaki Furukawa , Hiroki Matsutani

We propose LQ-SGD (Low-Rank Quantized Stochastic Gradient Descent), an efficient communication gradient compression algorithm designed for distributed training. LQ-SGD further develops on the basis of PowerSGD by incorporating the low-rank…

机器学习 · 计算机科学 2025-06-24 Hongyang Li , Lincen Bai , Caesar Wu , Mohammed Chadli , Said Mammar , Pascal Bouvry

We present two sampled quasi-Newton methods (sampled LBFGS and sampled LSR1) for solving empirical risk minimization problems that arise in machine learning. Contrary to the classical variants of these methods that sequentially build…

最优化与控制 · 数学 2021-07-29 Albert S. Berahas , Majid Jahani , Peter Richtárik , Martin Takáč

The linear regression (LR) method offers the advantage that optimal parameters can be calculated relatively easily, although its representation capability is limited than that of the deep learning technique. To improve deep reinforcement…

机器学习 · 计算机科学 2025-04-28 Hisato Komatsu

The paper considers a class of multi-agent Markov decision processes (MDPs), in which the network agents respond differently (as manifested by the instantaneous one-stage random costs) to a global controlled state and the control actions of…

机器学习 · 统计学 2015-06-04 Soummya Kar , Jose' M. F. Moura , H. Vincent Poor

The problem of minimizing a sum of local convex objective functions over a networked system captures many important applications and has received much attention in the distributed optimization field. Most of existing work focuses on…

最优化与控制 · 数学 2019-01-09 Fatemeh Mansoori , Ermin Wei

In this paper, we analyze the problem of optimally allocating resources in a distributed and privacy-preserving manner. We propose a novel distributed optimal resource allocation algorithm with privacy-preserving guarantees, which operates…

系统与控制 · 电气工程与系统科学 2022-07-19 Jakob Nylöf , Apostolos I. Rikos , Sebin Gracy , Karl H. Johansson

This thesis explores a particular class of distributed optimization methods for various separable resource allocation problems, which are of high interest in a wide array of multi-agent settings. A distinctly motivating application for this…

系统与控制 · 电气工程与系统科学 2021-03-26 Tor Anderson

We propose a distributed algorithm, named Distributed Alternating Direction Method of Multipliers (D-ADMM), for solving separable optimization problems in networks of interconnected nodes or agents. In a separable optimization problem there…

最优化与控制 · 数学 2013-04-26 João F. C. Mota , João M. F. Xavier , Pedro M. Q. Aguiar , Markus Püschel