The Identification of Discrete Mixture Models

Citation

Gordon, Spencer Lane (2023) The Identification of Discrete Mixture Models. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/ebf5-0b48. https://resolver.caltech.edu/CaltechTHESIS:02072023-112938936

Abstract

In this thesis we discuss a variety of results on learning and identifying discrete mixture models, i.e., distributions that are a convex combination of k from a known class C of distributions. We first consider the case where C is the class of binomial distributions, before generalizing to the case of product distributions. We provide a necessary condition for identifiability of mixture of products distributions as well as a generalization to structured mixtures over multiple latent variables.

Thesis Files