Unsupervised learning for a clustering algorithm based on ellipsoidal calculus

Alejandro Guarneros, Ivan Salgado, Isaac Chairez

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

1 Scopus citations

Abstract

Unsupervised learning is a target free methodology to classify unorganized information. This study proposes a new unsupervised learning method for classifying unlabeled targets based on convex ellipsoidal sets. The method described here uses ellipsoidal calculus tools to realize pattern classification via a clustering scheme. The algorithm consisted in adjusting the number of clusters defined by an ellipsoidal set as well as their centers, shape forms and orientation. All these processes were realized without preliminary information on the data distribution. The application of an inner gradient descent algorithm permitted the adjustment of these parameters, using the standard deviation of data in the cluster with respect to the semi-axis of ellipsoid that contains the corresponding data. A specific evaluation of the proposed algorithm used two-dimensional attributes databases. The outcomes of the classification results were compared with those produced by the K-means and DBSCAN algorithm. Comparable classification results were achieved overcoming some drawbacks of the methods.

Original languageEnglish
Title of host publication7th International Conference on Control, Decision and Information Technologies, CoDIT 2020
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages124-129
Number of pages6
ISBN (Electronic)9781728159539
DOIs
StatePublished - 29 Jun 2020
Event7th International Conference on Control, Decision and Information Technologies, CoDIT 2020 - Prague, Czech Republic
Duration: 29 Jun 20202 Jul 2020

Publication series

Name7th International Conference on Control, Decision and Information Technologies, CoDIT 2020

Conference

Conference7th International Conference on Control, Decision and Information Technologies, CoDIT 2020
Country/TerritoryCzech Republic
CityPrague
Period29/06/202/07/20

Keywords

  • Unsupervised learning
  • ellipsoid sets
  • ellipsoidal calculus

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