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In dual decomposition, the dual to an optimization problem with a specific structure is solved in distributed fashion using (sub)gradient and recently also fast gradient methods. The traditional dual decomposition suffers from two main…

最优化与控制 · 数学 2014-04-08 Pontus Giselsson

We consider an online matching problem with concave returns. This problem is a significant generalization of the Adwords allocation problem and has vast applications in online advertising. In this problem, a sequence of items arrive…

数据结构与算法 · 计算机科学 2015-06-09 Xiao Alison Chen , Zizhuo Wang

We study the problem of maximizing a submodular function, subject to a cardinality constraint, with a set of agents communicating over a connected graph. We propose a distributed greedy algorithm that allows all the agents to converge to a…

最优化与控制 · 数学 2020-09-29 Lintao Ye , Shreyas Sundaram

This paper considers nonconvex distributed constrained optimization over networks, modeled as directed (possibly time-varying) graphs. We introduce the first algorithmic framework for the minimization of the sum of a smooth nonconvex…

最优化与控制 · 数学 2018-09-05 Gesualdo Scutari , Ying Sun

In this work we introduce a new notion: local mechanisms. These are truthful mechanisms that have an implementation as fast distributed algorithms and non-trivial approximation guarantees. We show how monotone distributed optimisation…

分布式、并行与集群计算 · 计算机科学 2024-11-12 Juho Hirvonen , Sara Ranjbaran

Global data association is an essential prerequisite for robot operation in environments seen at different times or by different robots. Repetitive or symmetric data creates significant challenges for existing methods, which typically rely…

机器人学 · 计算机科学 2025-09-22 Yixuan Jia , Mason B. Peterson , Qingyuan Li , Yulun Tian , Jonathan P. How

A recurring theme in recent computer science literature is that proper design of signaling schemes is a crucial aspect of effective mechanisms aiming to optimize social welfare or revenue. One of the research endeavors of this line of work…

计算机科学与博弈论 · 计算机科学 2015-07-07 Moran Feldman , Moshe Tennenholtz , Omri Weinstein

Distributed optimization algorithms have been studied extensively in the literature; however, underlying most algorithms is a linear consensus scheme, i.e. averaging variables from neighbors via doubly stochastic matrices. We consider…

最优化与控制 · 数学 2023-03-14 Hsu Kao , Vijay Subramanian

In this paper we consider a distributed stochastic optimization problem without the gradient/subgradient information for the local objective functions, subject to local convex constraints. The objective functions may be non-smooth and…

系统与控制 · 计算机科学 2018-06-25 Yinghui Wang , Wenxiao Zhao , Yiguang Hong , Mohsen Zamani

Optimizing problems in a distributed manner is critical for systems involving multiple agents with private data. Despite substantial interest, a unified method for analyzing the convergence rates of distributed optimization algorithms is…

最优化与控制 · 数学 2024-10-01 Mayank Baranwal , Kushal Chakrabarti

The concave utility in the Network Utility Maximization (NUM) problem is only suitable for elastic flows. However, the networks with the multiclass traffic, the utility of inelastic traffic is usually represented by the sigmoidal function…

系统与控制 · 计算机科学 2012-04-17 Phuong L. Vo , Nguyen H. Tran , Choong Seon Hong

In this paper, distributed convex optimization problem over non-directed dynamical networks is studied. Here, networked agents with single-integrator dynamics are supposed to rendezvous at a point that is the solution of a global convex…

最优化与控制 · 数学 2017-07-18 Amir Adibzadeh , Mohsen Zamani , Amir A. Suratgar , Mohammad B. Menhaj

We consider the optimization problem of a multi-resource, multi-unit VCG auction that produces an optimal, i.e., non-approximated, social welfare. We present an algorithm that solves this optimization problem with pseudo-polynomial…

计算机科学与博弈论 · 计算机科学 2019-05-23 Liran Funaro , Orna Agmon Ben-Yehuda , Assaf Schuster

We study optimization algorithms for the finite sum problems frequently arising in machine learning applications. First, we propose novel variants of stochastic gradient descent with a variance reduction property that enables linear…

机器学习 · 计算机科学 2017-07-06 Jakub Konečný

This paper aims to design a distributed coordination algorithm for solving a multi-agent decision problem with a hierarchical structure. The primary goal is to search the Nash equilibrium of a noncooperative game such that each player has…

最优化与控制 · 数学 2022-05-17 Xiaoyu Ma , Jinlong Lei , Peng Yi , Jie Chen

We consider the problem of generating uniformly random partitions of the vertex set of a graph such that every piece induces a connected subgraph. For the case where we want to have partitions with linearly many pieces of bounded size, we…

概率论 · 数学 2022-06-02 Alan Frieze , Wesley Pegden

Economic dispatch problem for a networked power system has been considered. The objective is to minimize the total generation cost while meeting the overall supply-demand balance and generation capacity. In particular, a more practical…

系统与控制 · 计算机科学 2019-05-01 Seungjoon Lee , Hyungbo Shim

In this paper, we put forth distributed algorithms for solving loosely coupled unconstrained and constrained optimization problems. Such problems are usually solved using algorithms that are based on a combination of decomposition and first…

最优化与控制 · 数学 2013-12-20 Sina Khoshfetrat Pakazad , Anders Hansson , Martin S. Andersen

Sampling from discrete distributions is a ubiquitous task in machine learning, recently revisited by the emergence of discrete diffusion models. While Langevin algorithms constitute the state of the art for continuous spaces, discrete…

统计理论 · 数学 2026-02-18 Armand Gissler , Saeed Saremi , Francis Bach

The paper studies a distributed constrained optimization problem, where multiple agents connected in a network collectively minimize the sum of individual objective functions subject to a global constraint being an intersection of the local…

最优化与控制 · 数学 2016-03-08 Jinlong Lei , Han-Fu Chen , Hai-Tao Fang