Clustering Mixtures of Discrete Distributions: A Note on Mitra's Algorithm
Machine Learning
2024-05-31 v1 Machine Learning
Abstract
In this note, we provide a refined analysis of Mitra's algorithm \cite{mitra2008clustering} for classifying general discrete mixture distribution models. Built upon spectral clustering \cite{mcsherry2001spectral}, this algorithm offers compelling conditions for probability distributions. We enhance this analysis by tailoring the model to bipartite stochastic block models, resulting in more refined conditions. Compared to those derived in \cite{mitra2008clustering}, our improved separation conditions are obtained.
Keywords
Cite
@article{arxiv.2405.19559,
title = {Clustering Mixtures of Discrete Distributions: A Note on Mitra's Algorithm},
author = {Mohamed Seif and Yanxi Chen},
journal= {arXiv preprint arXiv:2405.19559},
year = {2024}
}