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Proceedings Paper

Entropy estimation and Fibonacci numbers
Author(s): Evgeniy A. Timofeev; Alexei Kaltchenko
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Paper Abstract

We introduce a new metric on a space of right-sided infinite sequences drawn from a finite alphabet. Emerging from a problem of entropy estimation of a discrete stationary ergodic process, the metric is important on its own part and exhibits some interesting properties. Notably, the number of distinct metric values for a set of sequences of length m is equal to Fm+3 − 1, where Fm is a Fibonacci number.

Paper Details

Date Published: 29 May 2013
PDF: 5 pages
Proc. SPIE 8750, Independent Component Analyses, Compressive Sampling, Wavelets, Neural Net, Biosystems, and Nanoengineering XI, 875016 (29 May 2013); doi: 10.1117/12.2016140
Show Author Affiliations
Evgeniy A. Timofeev, Yaroslavl State Univ. (Russian Federation)
Alexei Kaltchenko, Wilfrid Laurier Univ. (Canada)


Published in SPIE Proceedings Vol. 8750:
Independent Component Analyses, Compressive Sampling, Wavelets, Neural Net, Biosystems, and Nanoengineering XI
Harold H. Szu, Editor(s)

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