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We study the policy evaluation problem in multi-agent reinforcement learning, modeled by a Markov decision process. In this problem, the agents operate in a common environment under a fixed control policy, working together to discover the…

最优化与控制 · 数学 2020-01-13 Thinh T. Doan , Siva Theja Maguluri , Justin Romberg

Federated learning, where algorithms are trained across multiple decentralized devices without sharing local data, is increasingly popular in distributed machine learning practice. Typically, a graph structure $G$ exists behind local…

机器学习 · 统计学 2022-09-20 Huiyuan Wang , Xuyang Zhao , Wei Lin

In a rendezvous task, some mobile agents dispersed in a network have to gather at an arbitrary common site. We consider the rendezvous problem on the infinite labeled line, with $2$ agents, without communication, and a synchronous notion of…

分布式、并行与集群计算 · 计算机科学 2026-02-26 Yann Bourreau , Ananth Narayanan , Alexandre Nolin

We study the wake-up problem in distributed networks, where an adversary awakens a subset of nodes at arbitrary times, and the goal is to wake up all other nodes as quickly as possible by sending only few messages. We prove the following…

分布式、并行与集群计算 · 计算机科学 2025-07-16 Peter Robinson , Ming Ming Tan

We study the communication complexity of linear algebraic problems over finite fields in the multi-player message passing model, proving a number of tight lower bounds. Specifically, for a matrix which is distributed among a number of…

计算复杂性 · 计算机科学 2014-07-18 Yi Li , Xiaoming Sun , Chengu Wang , David P. Woodruff

We consider a MapReduce-like distributed computing system. We derive a lower bound on the communication cost for any given storage and computation costs. This lower bound matches the achievable bound we proposed recently. As a result, we…

信息论 · 计算机科学 2020-01-23 Qifa Yan , Sheng Yang , Michèle Wigger

Decentralized optimization with time-varying networks is an emerging paradigm in machine learning. It saves remarkable communication overhead in large-scale deep training and is more robust in wireless scenarios especially when nodes are…

机器学习 · 计算机科学 2022-11-02 Xinmeng Huang , Kun Yuan

The knowledge gradient (KG) algorithm is a popular and effective algorithm for the best arm identification (BAI) problem. Due to the complex calculation of KG, theoretical analysis of this algorithm is difficult, and existing results are…

机器学习 · 统计学 2022-11-23 Yanwen Li , Siyang Gao

Many problems in computer vision and recommender systems involve low-rank matrices. In this work, we study the problem of finding the maximum entry of a stochastic low-rank matrix from sequential observations. At each step, a learning agent…

机器学习 · 计算机科学 2017-12-14 Branislav Kveton , Csaba Szepesvari , Anup Rao , Zheng Wen , Yasin Abbasi-Yadkori , S. Muthukrishnan

We show that any randomised Monte Carlo distributed algorithm for the Lov\'asz local lemma requires $\Omega(\log \log n)$ communication rounds, assuming that it finds a correct assignment with high probability. Our result holds even in the…

分布式、并行与集群计算 · 计算机科学 2015-11-04 Sebastian Brandt , Orr Fischer , Juho Hirvonen , Barbara Keller , Tuomo Lempiäinen , Joel Rybicki , Jukka Suomela , Jara Uitto

In this paper we address distributed learning problems over peer-to-peer networks. In particular, we focus on the challenges of quantized communications, asynchrony, and stochastic gradients that arise in this set-up. We first discuss how…

最优化与控制 · 数学 2025-09-04 Nicola Bastianello , Apostolos I. Rikos , Karl H. Johansson

We study the maximum $k$-set coverage problem in the following distributed setting. A collection of sets $S_1,\ldots,S_m$ over a universe $[n]$ is partitioned across $p$ machines and the goal is to find $k$ sets whose union covers the most…

数据结构与算法 · 计算机科学 2018-08-24 Sepehr Assadi , Sanjeev Khanna

We give a deterministic 2^{O(n)} algorithm for computing an M-ellipsoid of a convex body, matching a known lower bound. This has several interesting consequences including improved deterministic algorithms for volume estimation of convex…

计算复杂性 · 计算机科学 2014-03-05 Daniel Dadush , Santosh Vempala

This paper proposes distributed algorithms for multi-agent networks to achieve a solution in finite time to a linear equation $Ax=b$ where $A$ has full row rank, and with the minimum $l_1$-norm in the underdetermined case (where $A$ has…

系统与控制 · 计算机科学 2017-10-02 Jingqiu Zhou , Wang Xuan , Shaoshuai Mou , Brian. D. O. Anderson

An L(2,1)-labeling of a graph $G$ is an assignment $f$ from the vertex set $V(G)$ to the set of nonnegative integers such that $|f(x)-f(y)|\ge 2$ if $x$ and $y$ are adjacent and $|f(x)-f(y)|\ge 1$ if $x$ and $y$ are at distance 2, for all…

数据结构与算法 · 计算机科学 2010-11-25 Toru Hasunuma , Toshimasa Ishii , Hirotaka Ono , Yushi Uno

We present a deterministic distributed algorithm that computes a $(2\Delta-1)$-edge-coloring, or even list-edge-coloring, in any $n$-node graph with maximum degree $\Delta$, in $O(\log^7 \Delta \log n)$ rounds. This answers one of the…

数据结构与算法 · 计算机科学 2017-04-11 Manuela Fischer , Mohsen Ghaffari , Fabian Kuhn

We study the problem of computing the minimum cut in a weighted distributed message-passing networks (the CONGEST model). Let $\lambda$ be the minimum cut, $n$ be the number of nodes in the network, and $D$ be the network diameter. Our…

数据结构与算法 · 计算机科学 2014-08-05 Danupon Nanongkai , Hsin-Hao Su

We propose a distributionally robust approach to learning hyperparameters for first-order methods in convex optimization. Given a dataset of problem instances, we minimize a Wasserstein distributionally robust version of the performance…

机器学习 · 计算机科学 2026-05-08 Vinit Ranjan , Jisun Park , Bartolomeo Stellato

Given a set $P$ of $n$ points in the plane, the unit-disk graph $G(P)$ is a graph with $P$ as its vertex set such that two points of $P$ have an edge if their Euclidean distance is at most $1$. We consider the problem of computing a maximum…

计算几何 · 计算机科学 2025-06-30 Anastasiia Tkachenko , Haitao Wang

Given in the plane a set $S$ of $n$ points and a set of disks centered at these points, the disk graph $G(S)$ induced by these disks has vertex set $S$ and an edge between two vertices if their disks intersect. Note that the disks may have…

计算几何 · 计算机科学 2025-10-08 Bruce W. Brewer , Haitao Wang