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In this paper we present a greedy algorithm for solving the problem of the maximum partitioning of graphs with supply and demand (MPGSD). The goal of the method is to solve the MPGSD for large graphs in a reasonable time limit. This is done…

人工智能 · 计算机科学 2015-07-31 Raka Jovanovic , Abdelkader Bousselham , Stefan Voss

Simplicial partitions are a fundamental structure in computational geometry, as they form the basis of optimal data structures for range searching and several related problems. Current algorithms are built on very specific spatial…

计算几何 · 计算机科学 2025-01-15 Mónika Csikós , Alexandre Louvet , Nabil Mustafa

The problem of finding the densest subgraph in a given graph has several applications in graph mining, particularly in areas like social network analysis, protein and gene analyses etc. Depending on the application, finding dense subgraphs…

数据结构与算法 · 计算机科学 2019-11-07 Naga V. C. Gudapati , Enrico Malaguti , Michele Monaci

MapReduce has become the de facto standard model for designing distributed algorithms to process big data on a cluster. There has been considerable research on designing efficient MapReduce algorithms for clustering, graph optimization, and…

数据结构与算法 · 计算机科学 2018-06-19 Nicholas J. A. Harvey , Christopher Liaw , Paul Liu

Anytime heuristic search algorithms try to find a (potentially suboptimal) solution as quickly as possible and then work to find better and better solutions until an optimal solution is obtained or time is exhausted. The most widely-known…

人工智能 · 计算机科学 2023-12-21 Sofia Lemons , Wheeler Ruml , Robert C. Holte , Carlos Linares López

We propose a new scalable method to optimize the architecture of an artificial neural network. The proposed algorithm, called Greedy Search for Neural Network Architecture, aims to determine a neural network with minimal number of layers…

机器学习 · 计算机科学 2021-04-30 Massimiliano Lupo Pasini , Junqi Yin , Ying Wai Li , Markus Eisenbach

In this paper, we consider a subset selection problem in a spatial field where we seek to find a set of k locations whose observations provide the best estimate of the field value at a finite set of prediction locations. The measurements…

最优化与控制 · 数学 2022-04-12 Shamak Dutta , Nils Wilde , Stephen L. Smith

We introduce an algorithm which can be directly used to feasible and optimum search in linear programming. Starting from an initial point the algorithm iteratively moves a point in a direction to resolve the violated constraints. At the…

最优化与控制 · 数学 2023-12-05 Denys Shcherbak , Natalya Pya Arnqvist

Suppose a target is hidden in one of the vertices of an edge-weighted graph according to a known probability distribution. The expanding search problem asks for a search sequence of the vertices so as to minimize the expected time for…

离散数学 · 计算机科学 2019-11-21 Ben Hermans , Roel Leus , Jannik Matuschke

In network analysis and graph mining, closeness centrality is a popular measure to infer the importance of a vertex. Computing closeness efficiently for individual vertices received considerable attention. The NP-hard problem of group…

数据结构与算法 · 计算机科学 2019-11-11 Eugenio Angriman , Alexander van der Grinten , Henning Meyerhenke

Finding a maximum-weight matching is a classical and well-studied problem in computer science, solvable in cubic time in general graphs. We consider the specialization called assignment problem where the input is a bipartite graph, and…

数据结构与算法 · 计算机科学 2024-10-15 Romaric Duvignau , Noël Gillet , Ralf Klasing

One of the challenges in optimization of high dimensional problems is finding appropriate solutions in a way that are as close as possible to the global optima. In this regard, one of the most common phenomena that occurs is the curse of…

最优化与控制 · 数学 2021-12-22 Somayeh Seifi Shalamzari , Mojtaba Banifakhr

In the first part of this paper, we prove that, under some natural non-degeneracy assumptions, the Greedy Parabolic Target-Following Method, based on {\em universal tangent direction} has a favorable local behavior. In view of its global…

最优化与控制 · 数学 2024-12-20 Yurii Nesterov

We present a technique that allows for improving on some relative greedy procedures by well-chosen (non-oblivious) local search algorithms. Relative greedy procedures are a particular type of greedy algorithm that start with a simple,…

数据结构与算法 · 计算机科学 2021-07-16 Vera Traub , Rico Zenklusen

The Greedy algorithm is the simplest heuristic in sequential decision problem that carelessly takes the locally optimal choice at each round, disregarding any advantages of exploring and/or information gathering. Theoretically, it is known…

机器学习 · 计算机科学 2021-01-05 Matthieu Jedor , Jonathan Louëdec , Vianney Perchet

A major problem in data augmentation is to ensure that the generated new samples cover the search space. This is a challenging problem and requires exploration for data augmentation policies to ensure their effectiveness in covering the…

机器学习 · 计算机科学 2020-10-08 Alireza Naghizadeh , Mohammadsajad Abavisani , Dimitris N. Metaxas

We empirically analyze a simple heuristic for large sparse set cover problems. It uses the weighted greedy algorithm as a basic building block. By multiplicative updates of the weights attached to the elements, the greedy solution is…

数据结构与算法 · 计算机科学 2020-10-30 Marc Alexa

In this article, we present a family of numerical approaches to solve high-dimensional linear non-symmetric problems. The principle of these methods is to approximate a function which depends on a large number of variates by a sum of tensor…

泛函分析 · 数学 2012-10-26 Eric Cances , Virginie Ehrlacher , Tony Lelievre

Greedy algorithms are a fundamental category of algorithms in mathematics and computer science, characterized by their iterative, locally optimal decision-making approach, which aims to find global optima. In this review, we will discuss…

泛函分析 · 数学 2024-12-09 Andrea García

The random greedy algorithm for finding a maximal independent set in a graph constructs a maximal independent set by inspecting the graph's vertices in a random order, adding the current vertex to the independent set if it is not adjacent…

组合数学 · 数学 2023-09-28 Michael Krivelevich , Tamás Mészáros , Peleg Michaeli , Clara Shikhelman
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