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A general solution to the preferential selection model

2020-08-06 21:51:00
Jake Ryland Williams, Diana Solano-Oropeza, Jacob R. Hunsberger
arXiv_CL
     
Abstract

We provide a general analytic solution to Herbert Simon's 1955 model for time-evolving novelty functions. This has far-reaching consequences: Simon's is a pre-cursor model for Barabasi's 1999 preferential attachment model for growing social networks, and our general abstraction of it more considers attachment to be a form of link selection. We show that any system which can be modeled as instances of types---i.e., occurrence data (frequencies)---can be generatively modeled (and simulated) from a distributional perspective with an exceptionally high-degree of accuracy.

Abstract (translated)

URL

https://arxiv.org/abs/2008.02885

PDF

https://arxiv.org/pdf/2008.02885.pdf

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