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We study the so-called distributed two-time-scale gradient method for solving convex optimization problems over a network of agents when the communication bandwidth between the nodes is limited, and so information that is exchanged between…

系统与控制 · 电气工程与系统科学 2021-06-01 Marcos M. Vasconcelos , Thinh T. Doan , Urbashi Mitra

In this paper, we consider distributed algorithms for solving the empirical risk minimization problem under the master/worker communication model. We develop a distributed asynchronous quasi-Newton algorithm that can achieve superlinear…

In this work, we study distributed sketching methods for large scale regression problems. We leverage multiple randomized sketches for reducing the problem dimensions as well as preserving privacy and improving straggler resilience in…

分布式、并行与集群计算 · 计算机科学 2020-06-23 Burak Bartan , Mert Pilanci

A natural requirement of many distributed structures is fault-tolerance: after some failures, whatever remains from the structure should still be effective for whatever remains from the network. In this paper we examine spanners of general…

数据结构与算法 · 计算机科学 2011-02-01 Michael Dinitz , Robert Krauthgamer

We present a computational method for extreme-scale simulations of incompressible turbulent wall flows at high Reynolds numbers. The numerical algorithm extends a popular method for solving second-order finite differences Poisson/Helmholtz…

流体动力学 · 物理学 2025-08-07 Rafael Diez Sanhueza , Jurriaan Peeters , Pedro Costa

This paper studies distributed resource allocation problem in multi-agent systems, where all the agents cooperatively minimize the sum of their cost functions with global resource constraints over stochastic communication networks. This…

最优化与控制 · 数学 2021-04-27 Tie Ding , Shanying Zhu , Cailian Chen , Xinping Guan

This paper considers the problem of distributed optimization over time-varying graphs. For the case of undirected graphs, we introduce a distributed algorithm, referred to as DIGing, based on a combination of a distributed inexact gradient…

最优化与控制 · 数学 2017-03-21 Angelia Nedich , Alex Olshevsky , Wei Shi

In this paper, we study the mathematical structure and numerical approximation of elliptic problems posed in a (3D) domain $\Omega$ when the right-hand side is a (1D) line source $\Lambda$. The analysis and approximation of such problems is…

数值分析 · 数学 2018-11-01 Ingeborg G. Gjerde , Kundan Kumar , Jan M. Nordbotten , Barbara Wohlmuth

We give an improved algorithm for drawing a random sample from a large data stream when the input elements are distributed across multiple sites which communicate via a central coordinator. At any point in time the set of elements held by…

分布式、并行与集群计算 · 计算机科学 2019-03-29 Srikanta Tirthapura , David P. Woodruff

Distributed consensus has been widely studied for sensor network applications. Whereas the asymptotic convergence rate has been extensively explored in prior work, other important and practical issues, including energy efficiency and link…

网络与互联网体系结构 · 计算机科学 2013-04-10 Lei Chen , Jeff Frolik

In this paper, we address the numerical solution of the Optimal Transport Problem on undirected weighted graphs, taking the shortest path distance as transport cost. The optimal solution is obtained from the long-time limit of the gradient…

数值分析 · 数学 2020-09-29 Enrico Facca , Michele Benzi

We study a standard distributed optimization framework where $N$ networked nodes collaboratively minimize the sum of their local convex costs. The main body of existing work considers the described problem when the underling network is…

最优化与控制 · 数学 2018-03-22 Anit Kumar Sahu , Dusan Jakovetic , Dragana Bajovic , Soummya Kar

We consider the problem of reserving link capacity in a network in such a way that any of a given set of flow scenarios can be supported. In the optimal capacity reservation problem, we choose the reserved link capacities to minimize the…

分布式、并行与集群计算 · 计算机科学 2017-05-03 Nicholas Moehle , Xinyue Shen , Zhi-Quan Luo , Stephen Boyd

Laplacian matrices of graphs arise in large-scale computational applications such as machine learning; spectral clustering of images, genetic data and web pages; transportation network flows; electrical resistor circuits; and elliptic…

数值分析 · 数学 2011-08-02 Oren E. Livne , Achi Brandt

This paper studies a constrained optimization problem over networked systems with an undirected and connected communication topology. The algorithm proposed in this work utilizes singular perturbation, dynamic average consensus, and saddle…

最优化与控制 · 数学 2017-10-24 Phuong Huu Hoang , Hyo-Sung Ahn

Sampling-based algorithms are classical approaches to perform Bayesian inference in inverse problems. They provide estimators with the associated credibility intervals to quantify the uncertainty on the estimators. Although these methods…

统计方法学 · 统计学 2023-11-28 Pierre-Antoine Thouvenin , Audrey Repetti , Pierre Chainais

We provide a unifying framework for distributed convex optimization over time-varying networks, in the presence of constraints and uncertainty, features that are typically treated separately in the literature. We adopt a proximal…

最优化与控制 · 数学 2017-05-24 Kostas Margellos , Alessandro Falsone , Simone Garatti , Maria Prandini

Over the past decade, there has been increasing interest in distributed/parallel algorithms for processing large-scale graphs. By now, we have quite fast algorithms -- usually sublogarithmic-time and often $poly(\log\log n)$-time, or even…

数据结构与算法 · 计算机科学 2021-06-30 Amartya Shankha Biswas , Michal Dory , Mohsen Ghaffari , Slobodan Mitrović , Yasamin Nazari

We present a robust Distributed and Localized Model Predictive Control (rDLMPC) framework for large-scale structured linear systems. The proposed algorithm uses the System Level Synthesis to provide a distributed closed-loop model…

最优化与控制 · 数学 2021-03-29 Carmen Amo Alonso , Jing Shuang Li , Nikolai Matni , James Anderson

In this paper, we propose a fast distributed solver for linear equations given by symmetric diagonally dominant M-Matrices. Our approach is based on a distributed implementation of the parallel solver of Spielman and Peng by considering a…

分布式、并行与集群计算 · 计算机科学 2015-02-12 Rasul Tutunov , Haitham Bou Ammar , Ali Jadbabaie