<scp>B</scp>ayesian Product Partition Models

Quintana, Fernando A.; Loschi, Rosangela H.; Page, Garritt L.

doi:10.1002/9781118445112.stat08123

Cited by 4 publications

(1 citation statement)

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“…We define a partition ρ as a collection of clusters S j , which are assumed to be non-empty and mutually exclusive. Following [54], the parametric PPM is presented as…”

Section: Product Partition Modelsmentioning

confidence: 99%

Consensus Big Data Clustering for Bayesian Mixture Models

Karras

Giotopoulos

et al. 2023

Algorithms

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In the context of big-data analysis, the clustering technique holds significant importance for the effective categorization and organization of extensive datasets. However, pinpointing the ideal number of clusters and handling high-dimensional data can be challenging. To tackle these issues, several strategies have been suggested, such as a consensus clustering ensemble that yields more significant outcomes compared to individual models. Another valuable technique for cluster analysis is Bayesian mixture modelling, which is known for its adaptability in determining cluster numbers. Traditional inference methods such as Markov chain Monte Carlo may be computationally demanding and limit the exploration of the posterior distribution. In this work, we introduce an innovative approach that combines consensus clustering and Bayesian mixture models to improve big-data management and simplify the process of identifying the optimal number of clusters in diverse real-world scenarios. By addressing the aforementioned hurdles and boosting accuracy and efficiency, our method considerably enhances cluster analysis. This fusion of techniques offers a powerful tool for managing and examining large and intricate datasets, with possible applications across various industries.

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“…We define a partition ρ as a collection of clusters S j , which are assumed to be non-empty and mutually exclusive. Following [54], the parametric PPM is presented as…”

Section: Product Partition Modelsmentioning

confidence: 99%