Six heuristic algorithms for solving the K-minimum volume ellipsoid (K-MVE) problem

Q3 Physics and Astronomy

Cybernetics and Physics Pub Date : 2020-12-30 DOI:10.35470/2226-4116-2020-9-4-198-205

P. Shcherbakov

引用次数: 0

Abstract

We propose six heuristic methods for finding an approximate solution to the following combinatorial problem: GivenN points in the n-dimensional space, find the minimum-size ellipsoid covering exactly N 􀀀k of them, where k is much less than N. Various assumptions on the nature of the points and their amount are considered; the results of illustrative numerical experiments with the algorithms are discussed.

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求解K-最小体积椭球（K-MVE）问题的六种启发式算法

我们提出了六种启发式方法来找到以下组合问题的近似解：在n维空间中的GivenN点，找到正好覆盖n的最小尺寸椭球􀀀其中k远小于N。考虑了关于点的性质及其数量的各种假设；文中讨论了该算法的数值实验结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Cybernetics and Physics Chemical Engineering-Fluid Flow and Transfer Processes

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

10 weeks

期刊介绍： The scope of the journal includes: -Nonlinear dynamics and control -Complexity and self-organization -Control of oscillations -Control of chaos and bifurcations -Control in thermodynamics -Control of flows and turbulence -Information Physics -Cyber-physical systems -Modeling and identification of physical systems -Quantum information and control -Analysis and control of complex networks -Synchronization of systems and networks -Control of mechanical and micromechanical systems -Dynamics and control of plasma, beams, lasers, nanostructures -Applications of cybernetic methods in chemistry, biology, other natural sciences The papers in cybernetics with physical flavor as well as the papers in physics with cybernetic flavor are welcome. Cybernetics is assumed to include, in addition to control, such areas as estimation, filtering, optimization, identification, information theory, pattern recognition and other related areas.