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The Poisson-Influenced K-Means Algorithm, a Maximum-Likelihood Procedure for Clusters with a Known Probability Distribution

Published

Author(s)

Zachary H. Levine, Brian P. Morris

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 a number of 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.
Citation
The Mathematica Journal
Volume
18
Issue
4

Keywords

The Poisson-Influenced K-Means Algorithm , Maximum-Likelihood , transition edge sensor , TES

Citation

Levine, Z. and Morris, B. (2016), The Poisson-Influenced K-Means Algorithm, a Maximum-Likelihood Procedure for Clusters with a Known Probability Distribution, The Mathematica Journal, [online], https://doi.org/10.3888/tmj.18-3 (Accessed April 13, 2024)
Created April 25, 2016, Updated November 10, 2018