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We present a time-optimal deterministic distributed algorithm for approximating a minimum weight vertex cover in hypergraphs of rank $f$. This problem is equivalent to the Minimum Weight Set Cover Problem in which the frequency of every…

分布式、并行与集群计算 · 计算机科学 2018-08-20 Ran Ben-Basat , Guy Even , Ken-ichi Kawarabayashi , Gregory Schwartzman

The problem of finding a minimum vertex cover (MVC) in a graph is a well-known NP-hard problem with significant practical applications in optimization and scheduling. Its complexity, combined with the increasing scale of problems,…

人工智能 · 计算机科学 2025-03-11 Enqiang Zhu , Qiqi Bao , Yu Zhang , Chanjuan Liu

We present a time-optimal deterministic distributed algorithm for approximating a minimum weight vertex cover in hypergraphs of rank $f$. This problem is equivalent to the Minimum Weight Set Cover problem in which the frequency of every…

分布式、并行与集群计算 · 计算机科学 2019-05-31 Ran Ben-Basat , Guy Even , Ken-ichi Kawarabayashi , Gregory Schwartzman

Wireless sensor networks (WSNs) are emerging as an effective means for environment monitoring. This paper investigates a strategy for energy efficient monitoring in WSNs that partitions the sensors into covers, and then activates the covers…

数据结构与算法 · 计算机科学 2007-05-23 Zoe Abrams , Ashish Goel , Serge Plotkin

Given a collection S of subsets of some set U, and M a subset of U, the set cover problem is to find the smallest subcollection C of S such that M is a subset of the union of the sets in C. While the general problem is NP-hard to solve,…

计算几何 · 计算机科学 2007-05-23 Kenneth L. Clarkson , Kasturi Varadarajan

This paper studies randomized approximation algorithm for a variant of the set cover problem called minimum submodular cost partial multi-cover (SCPMC), in which each element $e$ has a covering requirement $r_e$ and a profit $p_e$, and the…

数据结构与算法 · 计算机科学 2017-02-02 Yishuo Shi , Zhao Zhang , Ding-Zhu Du

Social groups give the opportunity for a new form of caching. In this paper, we investigate how a social group of users can jointly optimize bandwidth usage, by each caching parts of the data demand, and then opportunistically share these…

信息论 · 计算机科学 2018-10-16 Mohammed Karmoose , Martina Cardone , Christina Fragouli

In the dynamic set cover (SC) problem, the input is a dynamic universe of at most $n$ elements and a fixed collection of $m$ sets, where each element belongs to at most $f$ sets and each set has cost in $[1/C, 1]$. The objective is to…

数据结构与算法 · 计算机科学 2025-11-11 Shay Solomon , Amitai Uzrad

The traditional way of tackling discrete optimization problems is by using local search on suitably defined cost or fitness landscapes. Such approaches are however limited by the slowing down that occurs when the local minima that are a…

无序系统与神经网络 · 物理学 2018-06-15 Konstantin Klemm , Anita Mehta , Peter F. Stadler

Randomized Uphill Climbing is a lightweight, stochastic search heuristic that has delivered state of the art equity alpha factors for quantitative hedge funds. I propose to generalize RUC into a model agnostic feature optimization framework…

机器学习 · 计算机科学 2025-05-08 Nguyen Van Thanh

We present a packing-based approximation algorithm for the $k$-Set Cover problem. We introduce a new local search-based $k$-set packing heuristic, and call it Restricted $k$-Set Packing. We analyze its tight approximation ratio via a…

数据结构与算法 · 计算机科学 2015-03-03 Martin Furer , Huiwen Yu

In this paper we give a f-approximation algorithm for the minimum unweighted Vertex Cover problem with Hard Capacity constraints (VCHC) on f-hypergraphs. This problem generalizes standard vertex cover for which the best known approximation…

数据结构与算法 · 计算机科学 2017-01-24 Sam Chiu-wai Wong

Procedural terrain generation plays a vital role in creating virtual landscapes for games, simulations, and various applications. The WaveFunctionCollapse (WFC) algorithm has proven effective in generating content by learning patterns from…

图像与视频处理 · 电气工程与系统科学 2024-12-09 Seyedparsa Dajkhosh

We introduce and study a new optimization problem called Hyper Vertex Cover. This problem is a generalization of the standard vertex cover to hypergraphs: one seeks a configuration of particles with minimal density such that every hyperedge…

统计力学 · 物理学 2009-11-13 M. Mézard , M. Tarzia

Event cameras are emerging vision sensors and their advantages are suitable for various applications such as autonomous robots. Contrast maximization (CMax), which provides state-of-the-art accuracy on motion estimation using events, may…

计算机视觉与模式识别 · 计算机科学 2024-03-05 Shintaro Shiba , Yoshimitsu Aoki , Guillermo Gallego

Target coverage problem in wireless sensor networks is concerned with maximizing the lifetime of the network while continuously monitoring a set of targets. A sensor covers targets which are within the sensing range. For a set of sensors…

网络与互联网体系结构 · 计算机科学 2011-03-25 Manju , Arun K. Pujari

We study deterministic online algorithms for the problem of chasing sets of cardinality at most $k$ in a metric space, also known as metrical service systems and equivalent to width-$k$ layered graph traversal. We resolve the 30-year-old…

数据结构与算法 · 计算机科学 2026-05-12 Christian Coester , Alexa Tudose

Due to the fast-growing volume of text documents and reviews in recent years, current analyzing techniques are not competent enough to meet the users' needs. Using feature selection techniques not only support to understand data better but…

信息检索 · 计算机科学 2020-04-29 Amir Javadpour , Samira Rezaei , Kuan-Ching Li , Guojun Wang

This paper considers the problem of minimizing an expectation function over a closed convex set, coupled with a {\color{black} functional or expectation} constraint on either decision variables or problem parameters. We first present a new…

最优化与控制 · 数学 2020-10-05 Guanghui Lan , Zhiqiang Zhou

In the Set Cover problem, we are given a set system with each set having a weight, and we want to find a collection of sets that cover the universe, whilst having low total weight. There are several approaches known (based on greedy…

数据结构与算法 · 计算机科学 2022-11-09 Anupam Gupta , Euiwoong Lee , Jason Li
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