English

Notion of information and independent component analysis

Statistics Theory 2020-06-22 v1 Methodology Statistics Theory

Abstract

Partial orderings and measures of information for continuous univariate random variables with special roles of Gaussian and uniform distributions are discussed. The information measures and measures of non-Gaussianity including third and fourth cumulants are generally used as projection indices in the projection pursuit approach for the independent component analysis. The connections between information, non-Gaussianity and statistical independence in the context of independent component analysis is discussed in detail.

Keywords

Cite

@article{arxiv.2006.11123,
  title  = {Notion of information and independent component analysis},
  author = {Una Radojicic and Klaus Nordhausen and Hannu Oja},
  journal= {arXiv preprint arXiv:2006.11123},
  year   = {2020}
}