Bias-Compensated Estimator for Intrinsic Dimension and Differential Entropy

A Visual Multiscale Approach

  • Jugurta Montalvão, Ph.D. Federal University of Sergipe
  • Jânio Canuto, Ph.D. Universidade Federal de Sergipe
  • Luiz Miranda, Ms.C.

Abstract

Intrinsic dimension and differential entropy estimators are studied in this paper, including their systematic bias. A pragmatic approach for joint estimation and bias correction of these two fundamental measures is proposed. Shared steps on both estimators are highlighted, along with their useful
consequences to data analysis. It is shown that both estimators can be complementary parts of a single approach, and that the simultaneous estimation of differential entropy and intrinsic dimension give meaning to each other, where estimates at different observation scales convey different perspectives of underlying
manifolds. Experiments with synthetic and real datasets are presented to illustrate how to extract meaning from visual inspections, and how to compensate for biases.

Published
03-12-2020
How to Cite
Montalvão, J., Canuto, J., & Miranda, L. (2020). Bias-Compensated Estimator for Intrinsic Dimension and Differential Entropy. Journal of Communication and Information Systems, 35(1), 300-310. https://doi.org/10.14209/jcis.2020.30
Section
Regular Papers