Recurrent self-similarities and machine learning: The inverse problem of building fractals

Timothee Leleu, Akito Sakurai

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

A method to analyse recurrent similarities, or self-similarities, in higher dimensional data set, is proposed in this paper. An algorithm capable of solving the inverse problem of building a fractal is detailed. The latter is constituted of three parts: the decomposition of the data into subsets; the determination of a simple IFS from these sets; the reconstruction of the attractor. Basic attractors of fractals are reconstructed using these IFS, with a small error.

Original languageEnglish
Title of host publicationMendel
EditorsMatousek Radek
PublisherBrno University of Technology
Pages139-146
Number of pages8
ISBN (Electronic)9788021438842
Publication statusPublished - 2009 Jan 1
Event15th International Conference on Soft Computing: Evolutionary Computation, Genetic Programming, Fuzzy Logic, Rough Sets, Neural Networks, Fractals, Bayesian Methods, MENDEL 2009 - Brno, Czech Republic
Duration: 2009 Jun 242009 Jun 26

Publication series

NameMendel
ISSN (Print)1803-3814

Other

Other15th International Conference on Soft Computing: Evolutionary Computation, Genetic Programming, Fuzzy Logic, Rough Sets, Neural Networks, Fractals, Bayesian Methods, MENDEL 2009
CountryCzech Republic
CityBrno
Period09/6/2409/6/26

Keywords

  • Data Mining
  • Fractals
  • Inverse problem
  • Iterated Function System
  • Neural Network

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)
  • Computational Mathematics

Fingerprint Dive into the research topics of 'Recurrent self-similarities and machine learning: The inverse problem of building fractals'. Together they form a unique fingerprint.

  • Cite this

    Leleu, T., & Sakurai, A. (2009). Recurrent self-similarities and machine learning: The inverse problem of building fractals. In M. Radek (Ed.), Mendel (pp. 139-146). (Mendel). Brno University of Technology.