March 20, 2024, 4:42 a.m. | Samyajoy Pal, Christian Heumann

cs.LG updates on arXiv.org arxiv.org

arXiv:2403.12158v1 Announce Type: cross
Abstract: This study tackles the efficient estimation of Kullback-Leibler (KL) Divergence in Dirichlet Mixture Models (DMM), crucial for clustering compositional data. Despite the significance of DMMs, obtaining an analytically tractable solution for KL Divergence has proven elusive. Past approaches relied on computationally demanding Monte Carlo methods, motivating our introduction of a novel variational approach. Our method offers a closed-form solution, significantly enhancing computational efficiency for swift model comparisons and robust estimation evaluations. Validation using real and …

abstract arxiv clustering cs.lg data divergence math.st significance solution stat.ml stat.th study tractable type

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