Minimum-Volume Covering Ellipsoids: Improving the Efficiency of the Wolfe-Atwood Algorithm for Large-Scale Instances by Pooling and Batching

Autor: Jakub Kudela
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Mendel, Vol 25, Iss 2 (2019)
Druh dokumentu: article
ISSN: 1803-3814
2571-3701
DOI: 10.13164/mendel.2019.2.019
Popis: The Minimum-Volume Covering Ellipsoid (MVCE) problem is an important optimization problem that comes up in various areas of engineering and statistics. In this paper, we improve the state-of-the-art Wolfe-Atwood algorithm for solving the MVCE problem with pooling and batching procedures. This implementation yields significant improvements on the runtime of the algorithm for large-scale instances of the MVCE problem, which is demonstrated on quite extensive computational experiments.
Databáze: Directory of Open Access Journals