Clustering with mixture models

Dong, Thi Kieu Trang (A.A. 2024/2025) Clustering with mixture models. Tesi di Laurea in Advanced statistics, Luiss Guido Carli, relatore Marta Catalano, pp. 70. [Master's Degree Thesis]

Full text for this thesis not available from the repository.

Abstract/Index

Clustering paradigms. K-means clustering (non-model-based). Model-based clustering: gaussian mixture models. EM and Gibbs sampling for GMMs. Frequentist estimation via the expectation-maximisation algorithm. Bayesian inference in finite gaussian mixture models via Gibbs sampling. Dirichlet process mixture models. Motivation. The dirichlet process. Stick-breaking construction. The Chinese restaurant process. Dirichlet process mixture models. Collapsed Gibbs sampling for DPMMs. Empirical results and comparison. Dataset description. K-means clustering. EM algorithm results. Bayesian GMM via Gibbs sampling. Dirichlet process mixture models: a practical attempt and lessons learned. Comparative analysis of clustering methods.

References

Bibliografia: pp. 64-65.

Thesis Type: Master's Degree Thesis
Institution: Luiss Guido Carli
Degree Program: Master's Degree Programs > Master's Degree Program in Data Science e Management (LM-91)
Chair: Advanced statistics
Thesis Supervisor: Catalano, Marta
Thesis Co-Supervisor: Martino, Alessio
Academic Year: 2024/2025
Session: Summer
Deposited by: Alessandro Perfetti
Date Deposited: 14 Jan 2026 11:49
Last Modified: 14 Jan 2026 11:49
URI: https://tesi.luiss.it/id/eprint/44657

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