An Optimization-Based Generative Model of Power Laws Using a New Information Theory Based Metric
September 10, 2018 Β· Declared Dead Β· π arXiv.org
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Authors
A. M. Khalili
arXiv ID
1809.03077
Category
physics.soc-ph
Cross-listed
cs.IT
Citations
0
Venue
arXiv.org
Last Checked
4 months ago
Abstract
In this paper, we propose an optimization-based mechanism to explain power law distributions, where the function that the optimization process is seeking to optimize is derived mathematically, then the behavior and interpretation of this function are analyzed. The derived function shows some similarity to the entropy function in representing order and randomness; however, it also represents the energy, where the optimization process is seeking to maximize the number of elements at the tail of the distribution constrained by the total amount of the energy. The results show a matching between the output of the optimization process and the power law distribution.
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