Research topics

Dimension Estimation

Abstract

We present a new estimator of the distribution of pointwise dimensions of a probability measure. Our estimator seeks to approximate such measures by locally uniform measures, which we show are dense in a large class. We derive a probability density related to a locally uniform measure which allows estimation of its pointwise dimensions by a Bayesian method. We discuss our algorithm in detail and apply it to various data, including orbits of the classical H´enon map and a Chirikov standard map.

Presentation

Coming soon.

MATLAB codes

Coming soon.

Related papers

Do not redistribute our unpublished paper without our permission.


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Last-modified: 2014-05-30 (金) 09:03:38 (1574d)