Title
Measuring the Complexity of Continuous Distributions.
Abstract
We extend previously proposed measures of complexity, emergence, and self-organization to continuous distributions using differential entropy. Given that the measures were based on Shannon's information, the novel continuous complexity measures describe how a system's predictability changes in terms of the probability distribution parameters. This allows us to calculate the complexity of phenomena for which distributions are known. We find that a broad range of common parameters found in Gaussian and scale-free distributions present high complexity values. We also explore the relationship between our measure of complexity and information adaptation.
Year
DOI
Venue
2016
10.3390/e18030072
ENTROPY
Keywords
Field
DocType
complexity,emergence,self-organization,information,differential entropy,probability distributions
Predictability,Self-organization,Continuous distributions,Probability distribution,Gaussian,Differential entropy,Statistics,Chain rule for Kolmogorov complexity,Mathematics
Journal
Volume
Issue
ISSN
18
3
Entropy, 18(3):72. 2016
Citations 
PageRank 
References 
1
0.37
11
Authors
3
Name
Order
Citations
PageRank
Guillermo Santamaría Bonfil161.50
Nelson Fernandez221.06
Carlos Gershenson339242.34