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Fast algorithms for the minimum volume estimator

Fast algorithms for the minimum volume estimator
Fast algorithms for the minimum volume estimator
The minimum volume ellipsoid (MVE) estimator is an important tool in robust regression and outlier detection in statistics. We develop fast and efficient algorithms for the MVE estimator problem and discuss how they can be implemented efficiently. The novelty of our approach stems from the recent developments in the first-order algorithms for solving the related minimum volume enclosing ellipsoid problem. Comparative computational results are provided which demonstrate the strength of the algorithms.
Minimum volume estimator, Outlier detection, Robust regression
0925-5001
351-370
Ahipasaoglu, Selin Damla
d69f1b80-5c05-4d50-82df-c13b87b02687
Ahipasaoglu, Selin Damla
d69f1b80-5c05-4d50-82df-c13b87b02687

Ahipasaoglu, Selin Damla (2015) Fast algorithms for the minimum volume estimator. Journal of Global Optimization, 62 (2), 351-370. (doi:10.1007/s10898-014-0233-8).

Record type: Article

Abstract

The minimum volume ellipsoid (MVE) estimator is an important tool in robust regression and outlier detection in statistics. We develop fast and efficient algorithms for the MVE estimator problem and discuss how they can be implemented efficiently. The novelty of our approach stems from the recent developments in the first-order algorithms for solving the related minimum volume enclosing ellipsoid problem. Comparative computational results are provided which demonstrate the strength of the algorithms.

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More information

e-pub ahead of print date: 26 August 2014
Published date: 18 June 2015
Keywords: Minimum volume estimator, Outlier detection, Robust regression

Identifiers

Local EPrints ID: 443174
URI: http://eprints.soton.ac.uk/id/eprint/443174
ISSN: 0925-5001
PURE UUID: 57d356d5-af7e-4683-9742-24232dce091e
ORCID for Selin Damla Ahipasaoglu: ORCID iD orcid.org/0000-0003-1371-315X

Catalogue record

Date deposited: 13 Aug 2020 16:38
Last modified: 17 Mar 2024 04:03

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