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We consider the online $k$-median clustering problem in which $n$ points arrive online and must be irrevocably assigned to a cluster on arrival. As there are lower bound instances that show that an online algorithm cannot achieve a…

数据结构与算法 · 计算机科学 2023-03-28 Benjamin Moseley , Heather Newman , Kirk Pruhs

We study online scheduling problems on a single processor that can be viewed as extensions of the well-studied problem of minimizing total weighted flow time. In particular, we provide a framework of analysis that is derived by duality…

数据结构与算法 · 计算机科学 2021-01-08 Spyros Angelopoulos , Giorgio Lucarelli , Nguyen Kim Thang

The online bipartite matching problem, extensively studied in the literature, deals with the allocation of online arriving vertices (items) to a predetermined set of offline vertices (agents). However, little attention has been given to the…

计算机科学与博弈论 · 计算机科学 2024-10-28 MohammadTaghi Hajiaghayi , Shayan Chashm Jahan , Mohammad Sharifi , Suho Shin , Max Springer

Online Budgeted Matching (OBM) is a classic problem with important applications in online advertising, online service matching, revenue management, and beyond. Traditional online algorithms typically assume a small bid setting, where the…

计算机科学与博弈论 · 计算机科学 2024-11-15 Jianyi Yang , Pengfei Li , Adam Wierman , Shaolei Ren

With multiple identical unit speed servers, the online problem of scheduling jobs that migrate between two phases, limitedly parallelizable or completely sequential, and choosing their respective speeds to minimize the total flow time is…

数据结构与算法 · 计算机科学 2022-05-03 Rahul Vaze

We formalize sequential decision-making with information acquisition as the probing-augmented user-centric selection (PUCS) framework, where a learner first probes a subset of arms to obtain side information on resources and rewards, and…

机器学习 · 计算机科学 2025-08-19 Tianyi Xu , Yiting Chen , Henger Li , Zheyong Bian , Emiliano Dall'Anese , Zizhan Zheng

The $k$-server conjecture, first posed by Manasse, McGeoch and Sleator in 1988, states that a $k$-competitive deterministic algorithm for the $k$-server problem exists. It is conjectured that the work function algorithm (WFA) achieves this…

数据结构与算法 · 计算机科学 2021-02-23 Christian Coester , Elias Koutsoupias

Motivated by fairness requirements in communication networks, we introduce a natural variant of the online paging problem, called \textit{min-max} paging, where the objective is to minimize the maximum number of faults on any page. While…

数据结构与算法 · 计算机科学 2022-12-07 Ashish Chiplunkar , Monika Henzinger , Sagar Sudhir Kale , Maximilian Vötsch

The $k$-Server Problem covers plenty of resource allocation scenarios, and several variations have been studied extensively for decades. We present a model generalizing the $k$-Server Problem by preferences of the requests, where the…

数据结构与算法 · 计算机科学 2022-10-21 Jannik Castenow , Björn Feldkord , Till Knollmann , Manuel Malatyali , Friedhelm Meyer auf der Heide

In the evolving environment of mobile edge computing (MEC), optimizing system performance to meet the growing demand for low-latency computing services is a top priority. Integrating fluidic antenna (FA) technology into MEC networks…

信息论 · 计算机科学 2024-03-19 Yiping Zuo , Jiajia Guo , Biyun Sheng , Chen Dai , Fu Xiao , Shi Jin

We consider the problem of online load balancing under lp-norms: sequential jobs need to be assigned to one of the machines and the goal is to minimize the lp-norm of the machine loads. This generalizes the classical problem of scheduling…

数据结构与算法 · 计算机科学 2016-10-31 Marco Molinaro

This article provides convergence analysis of online stochastic gradient descent algorithms for functional linear models. Adopting the characterizations of the slope function regularity, the kernel space capacity, and the capacity of the…

机器学习 · 统计学 2022-09-27 Xin Guo , Zheng-Chu Guo , Lei Shi

The Submodular Welfare Maximization problem (SWM) captures an important subclass of combinatorial auctions and has been studied extensively from both computational and economic perspectives. In particular, it has been studied in a natural…

数据结构与算法 · 计算机科学 2018-11-20 Niv Buchbinder , Moran Feldman , Yuval Filmus , Mohit Garg

We consider a variant of the online buffer management problem in network switches, called the $k$-frame throughput maximization problem ($k$-FTM). This problem models the situation where a large frame is fragmented into $k$ packets and…

数据结构与算法 · 计算机科学 2013-09-23 Jun Kawahara , Koji M. Kobayashi , Shuichi Miyazaki

We study local search algorithms for metric instances of facility location problems: the uncapacitated facility location problem (UFL), as well as uncapacitated versions of the $k$-median, $k$-center and $k$-means problems. All these…

数据结构与算法 · 计算机科学 2008-09-16 Anupam Gupta , Kanat Tangwongsan

We consider online resource allocation problems where given a set of requests our goal is to select a subset that maximizes a value minus cost type of objective function. Requests are presented online in random order, and each request…

数据结构与算法 · 计算机科学 2011-12-07 Siddharth Barman , Seeun Umboh , Shuchi Chawla , David Malec

In this work, we study the problem of online mechanism design for resources allocation and pricing in cloud computing (RAPCC). We show that in general the allocation problems in RAPCC are NP-hard, and therefore we focus on designing…

计算机科学与博弈论 · 计算机科学 2014-03-11 Weidong Ma , Bo Zheng , Tao Qin , Pingzhong Tang , Tie-Yan Liu

The classical algorithms for online learning and decision-making have the benefit of achieving the optimal performance guarantees, but suffer from computational complexity limitations when implemented at scale. More recent sophisticated…

机器学习 · 计算机科学 2022-10-19 Guanghui Wang , Zihao Hu , Vidya Muthukumar , Jacob Abernethy

In the online hypergraph matching problem, hyperedges of size $k$ over a common ground set arrive online in adversarial order. The goal is to obtain a maximum matching (disjoint set of hyperedges). A na\"ive greedy algorithm for this…

数据结构与算法 · 计算机科学 2024-02-15 Thorben Tröbst , Rajan Udwani

Large language models have demonstrated extraordinary performance in many AI tasks but are expensive to use, even after training, due to their requirement of high-end GPUs. Recently, a distributed system called PETALS was developed to lower…

分布式、并行与集群计算 · 计算机科学 2025-12-30 Tingyang Sun , Ting He , Bo Ji , Parimal Parag