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One of the main strengths of online algorithms is their ability to adapt to arbitrary data sequences. This is especially important in nonparametric settings, where performance is measured against rich classes of comparator functions that…

机器学习 · 计算机科学 2020-11-03 Ilja Kuzborskij , Nicolò Cesa-Bianchi

In Cloud systems, we often deal with jobs that arrive and depart in an online manner. Upon its arrival, a job should be assigned to a server. Each job has a size which defines the amount of resources that it needs. Servers have uniform…

数据结构与算法 · 计算机科学 2014-08-20 Shahin Kamali , Alejandro López-Ortiz

We discuss one of the most fundamental scheduling problem of processing jobs on a single machine to minimize the weighted flow time (weighted response time). Our main result is a $O(\log P)$-competitive algorithm, where $P$ is the…

数据结构与算法 · 计算机科学 2018-08-17 Yossi Azar , Noam Touitou

We consider the online bin packing problem under the advice complexity model where the 'online constraint' is relaxed and an algorithm receives partial information about the future requests. We provide tight upper and lower bounds for the…

数据结构与算法 · 计算机科学 2013-12-24 Joan Boyar , Shahin Kamali , Kim S. Larsen , Alejandro López-Ortiz

In the Dynamic Bin Packing problem, $n$ items arrive and depart the system in an online manner, and the goal is to maintain a good packing throughout. We consider the objective of minimizing the total active time, i.e., the sum of the…

数据结构与算法 · 计算机科学 2024-08-26 Konstantina Mellou , Marco Molinaro , Rudy Zhou

Embeddings of graphs into distributions of trees that preserve distances in expectation are a cornerstone of many optimization algorithms. Unfortunately, online or dynamic algorithms which use these embeddings seem inherently randomized and…

数据结构与算法 · 计算机科学 2021-02-11 Bernhard Haeupler , D Ellis Hershkowitz , Goran Zuzic

We consider the problem of online Min-cost Perfect Matching with Delays (MPMD) introduced by Emek et al. (STOC 2016). In this problem, an even number of requests appear in a metric space at different times and the goal of an online…

数据结构与算法 · 计算机科学 2017-04-25 Marcin Bienkowski , Artur Kraska , Paweł Schmidt

This paper combines two key ingredients for online algorithms - competitive analysis (e.g. the competitive ratio) and advice complexity (e.g. the number of advice bits needed to improve online decisions) - in the context of a simple online…

计算机科学与博弈论 · 计算机科学 2020-06-30 Martin Aleksandrov , Toby Walsh

New ranking algorithms are continually being developed and refined, necessitating the development of efficient methods for evaluating these rankers. Online ranker evaluation focuses on the challenge of efficiently determining, from implicit…

信息检索 · 计算机科学 2016-08-23 Brian Brost , Yevgeny Seldin , Ingemar J. Cox , Christina Lioma

We study the metric facility location problem with client insertions and deletions. This setting differs from the classic dynamic facility location problem, where the set of clients remains the same, but the metric space can change over…

数据结构与算法 · 计算机科学 2019-09-17 Gramoz Goranci , Monika Henzinger , Dariusz Leniowski

A search engine maintains local copies of different web pages to provide quick search results. This local cache is kept up-to-date by a web crawler that frequently visits these different pages to track changes in them. Ideally, the local…

信息检索 · 计算机科学 2021-11-08 Konstantin Avrachenkov , Kishor Patil , Gugan Thoppe

We consider the following online optimization problem. We are given a graph $G$ and each vertex of the graph is assigned to one of $\ell$ servers, where servers have capacity $k$ and we assume that the graph has $\ell \cdot k$ vertices.…

数据结构与算法 · 计算机科学 2020-11-03 Monika Henzinger , Stefan Neumann , Harald Räcke , Stefan Schmid

Set cover and hitting set are fundamental problems in combinatorial optimization which are well-studied in the offline, online, and dynamic settings. We study the geometric versions of these problems and present new online and dynamic…

计算几何 · 计算机科学 2023-03-17 Arindam Khan , Aditya Lonkar , Saladi Rahul , Aditya Subramanian , Andreas Wiese

We consider Online Convex Optimization (OCO) in the setting where the costs are $m$-strongly convex and the online learner pays a switching cost for changing decisions between rounds. We show that the recently proposed Online Balanced…

机器学习 · 计算机科学 2019-04-05 Gautam Goel , Adam Wierman

We extend the Mobile Server Problem, introduced in SPAA'17, to a model where k identical mobile resources, here named servers, answer requests appearing at points in the Euclidean space. In order to reduce communication costs, the positions…

数据结构与算法 · 计算机科学 2019-07-24 Björn Feldkord , Till Knollmann , Manuel Malatyali , Friedhelm Meyer auf der Heide

In this paper, we study two variants of the online metric matching problem. The first problem is the online metric matching problem where all the servers are placed at one of two positions in the metric space. We show that a simple greedy…

数据结构与算法 · 计算机科学 2020-10-01 Toshiya Itoh , Shuichi Miyazaki , Makoto Satake

We consider a multi-stage facility reallocation problems on the real line, where a facility is being moved between time stages based on the locations reported by $n$ agents. The aim of the reallocation algorithm is to minimise the social…

计算机科学与博弈论 · 计算机科学 2021-03-25 Bart de Keijzer , Dominik Wojtczak

We consider a perimeter defense problem in which a single vehicle seeks to defend a compact region from intruders in a one-dimensional environment parameterized by the perimeter size and the intruder-to-vehicle speed ratio. The intruders…

系统与控制 · 电气工程与系统科学 2021-03-23 Shivam Bajaj , Eric Torng , Shaunak D. Bopardikar

This paper deals with a network of computing agents aiming to solve an online optimization problem in a distributed fashion, i.e., by means of local computation and communication, without any central coordinator. We propose the gradient…

最优化与控制 · 数学 2023-09-13 Guido Carnevale , Francesco Farina , Ivano Notarnicola , Giuseppe Notarstefano

Online load balancing for heterogeneous machines aims to minimize the makespan (maximum machine workload) by scheduling arriving jobs with varying sizes on different machines. In the adversarial setting, where an adversary chooses not only…

数据结构与算法 · 计算机科学 2024-05-22 Sungjin Im , Ravi Kumar , Shi Li , Aditya Petety , Manish Purohit
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