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arXiv:0911.1763math.DS

The Replicator Equation as an Inference Dynamic

Marc Harper

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Abstract

The replicator equation is interpreted as a continuous inference equation and a formal similarity between the discrete replicator equation and Bayesian inference is described. Further connections between inference and the replicator equation are given including a discussion of information divergences and exponential families as solutions for the replicator dynamic, using Fisher information and information geometry.

arXiv comments
Added a discussion of the discrete dynamic.
Journal reference
DOI
Subjects
math.DSDynamical Systems cs.ITInformation Theory

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    • This is a poor example considering evolution is anything but brute force trial and error. Each organism can be considered either an hypothesis or a collection of hypotheses about the background environment (https://arxiv.org/pdf/0911.1763v3.pdf…

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