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The clustering problem, in its many variants, has numerous applications in operations research and computer science (e.g., in applications in bioinformatics, image processing, social network analysis, etc.). As sizes of data sets have grown…

分布式、并行与集群计算 · 计算机科学 2017-10-24 Sayan Bandyapadhyay , Tanmay Inamdar , Shreyas Pai , Sriram V. Pemmaraju

We introduce a problem that is a common generalization of the uncapacitated facility location and minimum latency (ML) problems, where facilities need to be opened to serve clients and also need to be sequentially activated before they can…

数据结构与算法 · 计算机科学 2010-09-14 Deeparnab Chakrabarty , Chaitanya Swamy

In large-scale applications, such as machine learning, it is desirable to design non-convex optimization algorithms with a high degree of parallelization. In this work, we study the adaptive complexity of finding a stationary point, which…

最优化与控制 · 数学 2025-05-15 Huanjian Zhou , Andi Han , Akiko Takeda , Masashi Sugiyama

We consider the classical problem of Scheduling on Unrelated Machines. In this problem a set of jobs is to be distributed among a set of machines and the maximum load (makespan) is to be minimized. The processing time $p_{ij}$ of a job $j$…

数据结构与算法 · 计算机科学 2017-01-16 Klaus Jansen , Lars Rohwedder

The maximization for the independence systems defined on graphs is a generalization of combinatorial optimization problems such as the maximum $b$-matching, the unweighted MAX-SAT, the matchoid, and the maximum timed matching problems. In…

数据结构与算法 · 计算机科学 2022-08-23 Yuki Amano

We consider the dynamic resource allocation problem where the decision space is finite-dimensional, yet the solution must satisfy a large or even infinite number of constraints revealed via streaming data or oracle feedback. We model this…

机器学习 · 计算机科学 2026-03-18 Yiming Zong , Jiashuo Jiang

In the Multiple Allocation $k$-Hub Center (MA$k$HC), we are given a connected edge-weighted graph $G$, sets of clients $\mathcal{C}$ and hub locations $\mathcal{H}$, where ${V(G) = \mathcal{C} \cup \mathcal{H}}$, a set of demands…

数据结构与算法 · 计算机科学 2022-05-27 Marcelo P. L. Benedito , Lucas P. Melo , Lehilton L. C. Pedrosa

Sparsity finds applications in areas as diverse as statistics, machine learning, and signal processing. Computations over sparse structures are less complex compared to their dense counterparts, and their storage consumes less space. This…

信号处理 · 电气工程与系统科学 2023-01-31 Omar M. Sleem , M. E. Ashour , N. S. Aybat , Constantino M. Lagoa

Raghavendra (STOC 2008) gave an elegant and surprising result: if Khot's Unique Games Conjecture (STOC 2002) is true, then for every constraint satisfaction problem (CSP), the best approximation ratio is attained by a certain simple…

数据结构与算法 · 计算机科学 2010-11-01 Yuichi Yoshida

We consider the classic problem of scheduling jobs with precedence constraints on identical machines to minimize makespan, in the presence of communication delays. In this setting, denoted by $\mathsf{P} \mid \mathsf{prec}, c \mid…

数据结构与算法 · 计算机科学 2020-04-22 Sami Davies , Janardhan Kulkarni , Thomas Rothvoss , Jakub Tarnawski , Yihao Zhang

An efficient hardware implementation for Simultaneous Localization and Mapping (SLAM) methods is of necessity for mobile autonomous robots with limited computational resources. In this paper, we propose a resource-efficient FPGA…

信号处理 · 电气工程与系统科学 2023-05-31 Keisuke Sugiura , Hiroki Matsutani

We develop and analyze stochastic optimization algorithms for problems in which the expected loss is strongly convex, and the optimum is (approximately) sparse. Previous approaches are able to exploit only one of these two structures,…

机器学习 · 统计学 2012-07-19 Alekh Agarwal , Sahand Negahban , Martin J. Wainwright

In many real-world optimization problems, more than one objective plays a role and input parameters are subject to uncertainty. In this paper, motivated by applications in disaster relief and public facility location, we model and solve a…

最优化与控制 · 数学 2020-04-24 Sophie N. Parragh , Fabien Tricoire , Walter Gutjahr

We consider a natural extension to the metric uncapacitated Facility Location Problem (FLP) in which requests ask for different commodities out of a finite set $S$ of commodities. Ravi and Sinha (SODA'04) introduced the model as the…

数据结构与算法 · 计算机科学 2020-05-20 Jannik Castenow , Björn Feldkord , Till Knollmann , Manuel Malatyali , Friedhelm Meyer auf der Heide

We present new results for LambdaCC and MotifCC, two recently introduced variants of the well-studied correlation clustering problem. Both variants are motivated by applications to network analysis and community detection, and have…

计算复杂性 · 计算机科学 2018-09-26 David F. Gleich , Nate Veldt , Anthony Wirth

In the reordering buffer problem (RBP), a server is asked to process a sequence of requests lying in a metric space. To process a request the server must move to the corresponding point in the metric. The requests can be processed slightly…

数据结构与算法 · 计算机科学 2012-04-27 Siddharth Barman , Shuchi Chawla , Seeun Umboh

We consider the following single-machine scheduling problem, which is often denoted $1||\sum f_{j}$: we are given $n$ jobs to be scheduled on a single machine, where each job $j$ has an integral processing time $p_j$, and there is a…

数据结构与算法 · 计算机科学 2016-12-13 Maurice Cheung , Julián Mestre , David B. Shmoys , José Verschae

In this paper, we study the hard uniform capacitated $k$- median problem using local search heuristic. Obtaining a constant factor approximation for the \ckm problem is open. All the existing solutions giving constant-factor approximation,…

数据结构与算法 · 计算机科学 2018-04-25 Neelima Gupta , Aditya Pancholi

Rank deficient Hankel matrices are at the core of several applications. However, in practice, the coefficients of these matrices are noisy due to e.g. measurements errors and computational errors, so generically the involved matrices are…

数值分析 · 数学 2020-12-15 Antonio Fazzi , Nicola Guglielmi , Ivan Markovsky

We present approximation algorithms for maximum independent set of pseudo-disks in the plane, both in the weighted and unweighted cases. For the unweighted case, we prove that a local search algorithm yields a \PTAS. For the weighted case,…

计算几何 · 计算机科学 2011-03-09 Timothy M. Chan , Sariel Har-Peled
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