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Distributed deep learning (DDL) training systems are designed for cloud and data-center environments that assumes homogeneous compute resources, high network bandwidth, sufficient memory and storage, as well as independent and identically…

分布式、并行与集群计算 · 计算机科学 2024-01-30 Sahil Tyagi , Martin Swany

In this paper, we study the asymptotic behavior of the extreme eigenvalues and eigenvectors of the high dimensional spiked sample covariance matrices, in the supercritical case when a reliable detection of spikes is possible. Especially, we…

统计理论 · 数学 2020-09-04 Zhigang Bao , Xiucai Ding , Jingming Wang , Ke Wang

We study sparse linear regression over a network of agents, modeled as an undirected graph and no server node. The estimation of the $s$-sparse parameter is formulated as a constrained LASSO problem wherein each agent owns a subset of the…

机器学习 · 计算机科学 2024-12-30 Marie Maros , Gesualdo Scutari , Ying Sun , Guang Cheng

The major sources of abundant data are constantly expanding with the available data collection methodologies in various applications - medical, insurance, scientific, bio-informatics and business. These data sets may be distributed…

分布式、并行与集群计算 · 计算机科学 2016-06-24 Aruna Govada , Sanjay K. Sahay

This paper addresses stochastic optimization in a streaming setting with time-dependent and biased gradient estimates. We analyze several first-order methods, including Stochastic Gradient Descent (SGD), mini-batch SGD, and time-varying…

机器学习 · 计算机科学 2023-07-20 Antoine Godichon-Baggioni , Nicklas Werge , Olivier Wintenberger

We study distributed optimization problems over a network when the communication between the nodes is constrained, and so information that is exchanged between the nodes must be quantized. This imperfect communication poses a fundamental…

最优化与控制 · 数学 2018-10-30 Thinh T. Doan , Siva Theja Maguluri , Justin Romberg

We introduce a streaming framework for analyzing stochastic approximation/optimization problems. This streaming framework is analogous to solving optimization problems using time-varying mini-batches that arrive sequentially. We provide…

机器学习 · 计算机科学 2023-04-25 Antoine Godichon-Baggioni , Nicklas Werge , Olivier Wintenberger

We consider random networks whose dynamics is described by a rate equation, with transition rates $w_{nm}$ that form a symmetric matrix. The long time evolution of the system is characterized by a diffusion coefficient $D$. In one dimension…

统计力学 · 物理学 2012-12-04 Yaron de Leeuw , Doron Cohen

This paper considers a class of real-time decision making problems to minimize the expected value of a function that depends on a random variable $\xi$ under an unknown distribution $\mathbb{P}$. In this process, samples of $\xi$ are…

最优化与控制 · 数学 2020-09-08 Dan Li , Sonia Martinez

This paper studies a distributed state estimation problem for both continuous- and discrete-time linear systems. A simply structured distributed estimator (comprising interconnected local estimators) is first described for estimating the…

系统与控制 · 电气工程与系统科学 2023-10-30 Lili Wang , Ji Liu , Brian B. O. Anderson , A. Stephen Morse

The need to estimate a particular quantile of a distribution is an important problem which frequently arises in many computer vision and signal processing applications. For example, our work was motivated by the requirements of many…

计算机视觉与模式识别 · 计算机科学 2015-04-22 Ognjen Arandjelovic , Duc-Son Pham , Svetha Venkatesh

Motivated by decentralized sensing and policy evaluation problems, we consider a particular type of distributed stochastic optimization problem over a network, called the online stochastic distributed averaging problem. We design a…

最优化与控制 · 数学 2022-08-10 Sheng Zhang , Ashwin Pananjady , Justin Romberg

We develop a distributed Block Chebyshev-Davidson algorithm to solve large-scale leading eigenvalue problems for spectral analysis in spectral clustering. First, the efficiency of the Chebyshev-Davidson algorithm relies on the prior…

机器学习 · 计算机科学 2024-01-08 Qiyuan Pang , Haizhao Yang

Self-diffusion coefficients, $D^*$, are routinely estimated from molecular dynamics simulations by fitting a linear model to the observed mean-squared displacements (MSDs) of mobile species. MSDs derived from simulation exhibit statistical…

统计力学 · 物理学 2026-01-05 Andrew R. McCluskey , Samuel W. Coles , Benjamin J. Morgan

In this paper, we focus on solving a distributed convex optimization problem in a network, where each agent has its own convex cost function and the goal is to minimize the sum of the agents' cost functions while obeying the network…

最优化与控制 · 数学 2020-02-11 Shi Pu , Wei Shi , Jinming Xu , Angelia Nedić

This paper investigates the problem of distributed stochastic approximation in multi-agent systems. The algorithm under study consists of two steps: a local stochastic approximation step and a diffusion step which drives the network to a…

多智能体系统 · 计算机科学 2014-10-28 Gemma Morral , Pascal Bianchi , Gersende Fort

The aim of this paper is to present a first evaluation of the potential of an asynchronous distributed computation associated to the recently proposed approach, D-iteration: the D-iteration is a fluid diffusion based iterative method, which…

数值分析 · 数学 2012-02-29 Dohy Hong

We introduce novel diffusion based adaptive estimation strategies for distributed networks that have significantly less communication load and achieve comparable performance to the full information exchange configurations. After local…

系统与控制 · 计算机科学 2014-02-06 Muhammed O. Sayin , Suleyman S. Kozat

In this paper we study the extraction of representative elements in the data stream model in the form of submodular maximization. Different from the previous work on streaming submodular maximization, we are interested only in the recent…

数据结构与算法 · 计算机科学 2016-11-02 Jiecao Chen , Huy L. Nguyen , Qin Zhang

An influential paper of Hsu et al. (ICLR'19) introduced the study of learning-augmented streaming algorithms in the context of frequency estimation. A fundamental problem in the streaming literature, the goal of frequency estimation is to…

机器学习 · 计算机科学 2025-03-04 Anders Aamand , Justin Y. Chen , Siddharth Gollapudi , Sandeep Silwal , Hao Wu