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Sequential inverse approximation of a regularized sample covariance matrix

  • Tomer Lancewicki

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

One of the goals in scaling sequential machine learning methods pertains to dealing with high-dimensional data spaces. A key related challenge is that many methods heavily depend on obtaining the inverse covariance matrix of the data. It is well known that covariance matrix estimation is problematic when the number of observations is relatively small compared to the number of variables. A common way to tackle this problem is through the use of a shrinkage estimator that offers a compromise between the sample covariance matrix and a well-conditioned matrix, with the aim of minimizing the mean-squared error. We derived sequential update rules to approximate the inverse shrinkage estimator of the covariance matrix. The approach paves the way for improved large-scale machine learning methods that involve sequential updates.

Original languageEnglish
Title of host publicationProceedings - 16th IEEE International Conference on Machine Learning and Applications, ICMLA 2017
EditorsXuewen Chen, Bo Luo, Feng Luo, Vasile Palade, M. Arif Wani
PublisherInstitute of Electrical and Electronics Engineers
Pages903-907
Number of pages5
ISBN (Electronic)9781538614174
DOIs
StatePublished - 1 Jan 2017
Externally publishedYes
Event16th IEEE International Conference on Machine Learning and Applications, ICMLA 2017 - Cancun, Mexico
Duration: 18 Dec 201721 Dec 2017

Publication series

NameProceedings - 16th IEEE International Conference on Machine Learning and Applications, ICMLA 2017
Volume2017-December

Conference

Conference16th IEEE International Conference on Machine Learning and Applications, ICMLA 2017
Country/TerritoryMexico
CityCancun
Period18/12/1721/12/17

Keywords

  • covariance estimation
  • minimum mean squared error
  • shrinkage estimator

ASJC Scopus subject areas

  • Artificial Intelligence
  • Computer Science Applications

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