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The $k$-center problem requires the selection of $k$ points (centers) from a given metric pointset $W$ so to minimize the maximum distance of any point of $W$ from the closest center. This paper focuses on a fair variant of the problem,…

数据结构与算法 · 计算机科学 2025-03-10 Matteo Ceccarello , Andrea Pietracaprina , Geppino Pucci , Francesco Visonà

This paper studies spectral approximation for a positive semidefinite matrix in the online setting. It is known in [Cohen et al. APPROX 2016] that we can construct a spectral approximation of a given $n \times d$ matrix in the online…

数值分析 · 数学 2019-11-21 Masataka Gohda , Naonori Kakimura

In this paper, a sparsity-aware adaptive algorithm for distributed learning in diffusion networks is developed. The algorithm follows the set-theoretic estimation rationale. At each time instance and at each node of the network, a closed…

信息论 · 计算机科学 2015-06-03 Symeon Chouvardas , Konstantinos Slavakis , Yannis Kopsinis , Sergios Theodoridis

To approach different business objectives, online traffic shaping algorithms aim at improving exposures of a target set of items, such as boosting the growth of new commodities. Generally, these algorithms assume that the utility of each…

机器学习 · 计算机科学 2022-01-03 Chenlin Shen , Guangda Huzhang , Yuhang Zhou , Chen Liang , Qing Da

We investigate several online packing problems in which convex polygons arrive one by one and have to be placed irrevocably into a container, while the aim is to minimize the used space. Among other variants, we consider strip packing and…

计算几何 · 计算机科学 2024-04-09 Anders Aamand , Mikkel Abrahamsen , Lorenzo Beretta , Linda Kleist

Cooperation between mobile robots and wireless sensor networks is a line of research that is currently attracting a lot of attention. In this context, we study the following problem of barrier coverage by stationary wireless sensors that…

数据结构与算法 · 计算机科学 2014-10-27 J. Czyzowicz , E. Kranakis , D. Krizanc , L. Narayanan , J. Opatrny

We developed a new and computationally simple local block-wise self attention based normal structures segmentation approach applied to head and neck computed tomography (CT) images. Our method uses the insight that normal organs exhibit…

计算机视觉与模式识别 · 计算机科学 2019-09-12 Jue Jiang , Elguindi Sharif , Hyemin Um , Sean Berry , Harini Veeraraghavan

We study online optimization in a setting where an online learner seeks to optimize a per-round hitting cost, which may be non-convex, while incurring a movement cost when changing actions between rounds. We ask: \textit{under what general…

机器学习 · 计算机科学 2020-01-27 Yiheng Lin , Gautam Goel , Adam Wierman

We develop two simple and efficient approximation algorithms for the continuous $k$-medians problems, where we seek to find the optimal location of $k$ facilities among a continuum of client points in a convex polygon $C$ with $n$ vertices…

最优化与控制 · 数学 2023-06-28 Reyhaneh Mohammadi , Raghuveer Devulapalli , Mehdi Behroozi

The hitting set problem is one of the fundamental problems in combinatorial optimization and is well-studied in offline setup. We consider the online hitting set problem, where only the set of points is known in advance, and objects are…

计算几何 · 计算机科学 2024-10-02 Minati De , Ratnadip Mandal , Satyam Singh

We study graph ordering problems with a min-max objective. A classical problem of this type is cutwidth, where given a graph we want to order its vertices such that the number of edges crossing any point is minimized. We give a $…

数据结构与算法 · 计算机科学 2024-04-15 Nikhil Bansal , Dor Katzelnick , Roy Schwartz

Sketching and streaming algorithms are in the forefront of current research directions for cut problems in graphs. In the streaming model, we show that $(1-\epsilon)$-approximation for Max-Cut must use $n^{1-O(\epsilon)}$ space; moreover,…

数据结构与算法 · 计算机科学 2026-02-23 Dmitry Kogan , Robert Krauthgamer

In the symmetric rendezvous problem two players follow the same (randomized) strategy to visit one of $n$ locations in each time step $t=0,1,2,\dots$. Their goal is to minimize the expected time until they visit the same location and thus…

最优化与控制 · 数学 2026-04-03 Javier Cembrano , Felix Fischer , Max Klimm

A route planning query has many real-world applications and has been studied extensively in outdoor spaces such as road networks or Euclidean space. Despite its many applications in indoor venues (e.g., shopping centres, libraries,…

人工智能 · 计算机科学 2018-09-21 Chaluka Salgado , Muhammad Aamir Cheema , David Taniar

We revisit the problem of searching for a target at an unknown location on a line when given upper and lower bounds on the distance D that separates the initial position of the searcher from the target. Prior to this work, only asymptotic…

数据结构与算法 · 计算机科学 2013-10-04 Prosenjit Bose , Jean-Lou De Carufel , Stephane Durocher

The problem of minimizing a continuously differentiable convex function over an intersection of closed convex sets is ubiquitous in applied mathematics. It is particularly interesting when it is easy to project onto each separate set, but…

最优化与控制 · 数学 2014-08-06 Eric C. Chi , Hua Zhou , Kenneth Lange

The capacitated p-center problem requires to select p facilities from a set of candidates to service a number of customers, subject to facility capacity constraints, with the aim of minimizing the maximum distance between a customer and its…

数据结构与算法 · 计算机科学 2018-03-14 Raphael Kramer , Manuel Iori , Thibaut Vidal

In this paper, we propose a distributed algorithm to control a team of cooperating robots aiming to protect a target from a set of intruders. Specifically, we model the strategy of the defending team by means of an online optimization…

机器人学 · 计算机科学 2023-04-28 Lorenzo Pichierri , Guido Carnevale , Lorenzo Sforni , Andrea Testa , Giuseppe Notarstefano

Network design problems have been studied from the 1950s, as they can be used in a wide range of real-world applications, e.g., design of communication and transportation networks. In classical network design problems, the objective is to…

最优化与控制 · 数学 2025-06-26 Ugo Rosolia , Marc Bataillou Almagro , George Iosifidis , Martin Gross , Georgios Paschos

We study the problem of fair division of a set of indivisible goods with connectivity constraints. Specifically, we assume that the goods are represented as vertices of a connected graph, and sets of goods allocated to the agents are…

离散数学 · 计算机科学 2025-08-18 Václav Blažej , Michał Dębski , Zbigniew Lonc , Marta Piecyk , Paweł Rzążewski