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A general solution to the preferential selection model
Preprint   Open access

A general solution to the preferential selection model

Jake Ryland Williams, Diana Solano-Oropeza and Jacob R Hunsberger
arXiv (Cornell University)
06 Aug 2020
url
https://doi.org/10.48550/arxiv.2008.02885View
Preprint (Author's original)arXiv.org - Non-exclusive license to distribute Open

Abstract

Computer Science - Computation and Language Computer Science - Computers and Society Physics - Physics and Society
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.

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