[TMJ] The Poisson-Influenced K-Means Algorithm

New THE MATHEMATICA JOURNAL article:


The Poisson-Influenced K-Means Algorithm

A Maximum-Likelihood Procedure for Clusters with a Known Probability Distribution

by BRIAN P. M. MORRIS, ZACHARY H. LEVINE


ABSTRACT: We present an implementation of the Poisson-Influenced K-Means Algorithm (PIKA), first developed to characterize the output of a superconducting transition edge sensor (TES) in the few-photon-counting regime. The algorithm seeks to group data into several clusters that minimize their distances from their means, as in classical K-means clustering, but with the added knowledge that the cluster sizes should follow a Poisson distribution.


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