Empirical Estimation of Information Measures: A Literature Guide

We give a brief survey of the literature on the empirical estimation of entropy, differential entropy, relative entropy, mutual information and related information measures. While those quantities are of central importance in information theory, universal algorithms for their estimation are increasi...

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Main Author: Sergio Verdú
Format: Article
Language:English
Published: MDPI AG 2019-07-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/21/8/720
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author Sergio Verdú
author_facet Sergio Verdú
author_sort Sergio Verdú
collection DOAJ
description We give a brief survey of the literature on the empirical estimation of entropy, differential entropy, relative entropy, mutual information and related information measures. While those quantities are of central importance in information theory, universal algorithms for their estimation are increasingly important in data science, machine learning, biology, neuroscience, economics, language, and other experimental sciences.
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spelling doaj.art-68415e81d85b401ea971425476b4550a2022-12-22T04:20:07ZengMDPI AGEntropy1099-43002019-07-0121872010.3390/e21080720e21080720Empirical Estimation of Information Measures: A Literature GuideSergio Verdú0Independent Researcher, Princeton, NJ 08540, USAWe give a brief survey of the literature on the empirical estimation of entropy, differential entropy, relative entropy, mutual information and related information measures. While those quantities are of central importance in information theory, universal algorithms for their estimation are increasingly important in data science, machine learning, biology, neuroscience, economics, language, and other experimental sciences.https://www.mdpi.com/1099-4300/21/8/720information measuresempirical estimatorsentropyrelative entropymutual informationuniversal estimation
spellingShingle Sergio Verdú
Empirical Estimation of Information Measures: A Literature Guide
Entropy
information measures
empirical estimators
entropy
relative entropy
mutual information
universal estimation
title Empirical Estimation of Information Measures: A Literature Guide
title_full Empirical Estimation of Information Measures: A Literature Guide
title_fullStr Empirical Estimation of Information Measures: A Literature Guide
title_full_unstemmed Empirical Estimation of Information Measures: A Literature Guide
title_short Empirical Estimation of Information Measures: A Literature Guide
title_sort empirical estimation of information measures a literature guide
topic information measures
empirical estimators
entropy
relative entropy
mutual information
universal estimation
url https://www.mdpi.com/1099-4300/21/8/720
work_keys_str_mv AT sergioverdu empiricalestimationofinformationmeasuresaliteratureguide