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Finite mixture models are a useful statistical model class for clustering and density approximation. In the Bayesian framework finite mixture models require the specification of suitable priors in addition to the data model. These priors allow to avo
Externí odkaz:
http://arxiv.org/abs/2407.05470
We propose a Bayesian approach for model-based clustering of multivariate categorical data where variables are allowed to be associated within clusters and the number of clusters is unknown. The approach uses a two-layer mixture of finite mixtures mo
Externí odkaz:
http://arxiv.org/abs/2407.05431
Autor:
Nelke, Christopher, Schroeter, Christina B., Barman, Sumanta, Stascheit, Frauke, Masanneck, Lars, Theissen, Lukas, Huntemann, Niklas, Walli, Sara, Cengiz, Derya, Dobelmann, Vera, Vogelsang, Anna, Pawlitzki, Marc, Räuber, Saskia, Konen, Felix F., Skripuletz, Thomas, Hartung, Hans-Peter, König, Simone, Roos, Andreas, Meisel, Andreas, Meuth, Sven G., Ruck, Tobias
Publikováno v:
In eBioMedicine July 2024 105
In model-based clustering, the Galaxy data set is often used as a benchmark data set to study the performance of different modeling approaches. Aitkin (2001) compares maximum likelihood and Bayesian analyses of the Galaxy data set and expresses reser
Externí odkaz:
http://arxiv.org/abs/2101.12686
Cluster analysis aims at partitioning data into groups or clusters. In applications, it is common to deal with problems where the number of clusters is unknown. Bayesian mixture models employed in such applications usually specify a flexible prior th
Externí odkaz:
http://arxiv.org/abs/2012.12337
Autor:
Hoppe, Bernd, Martin-Higueras, Cristina, Borghese, Lodovica, Kaspar, Sophie, Reusch, Björn, Beck, Bodo B., Walli, Adam, Janzen, Ella, Hegert, Sebastian, Janzen, Nils, Hohenfellner, Katharina
Publikováno v:
In Kidney International Reports October 2024
Autor:
Martin-Higueras, Cristina, Borghese, Lodovica, Torres, Armando, Fraga-Bilbao, Fátima, Santana-Estupiñán, Raquel, Stefanidis, Constantinos J., Tory, Kálmán, Walli, Adam, Gondra, Leire, Kempf, Caroline, Gessner, Michaela, Habbig, Sandra, Eifler, Lisa, Schmitt, Claus P., Rüdel, Benjamin, Bartram, Malte P., Beck, Bodo B., Hoppe, Bernd
Publikováno v:
In Kidney International Reports January 2024 9(1):114-133
Within a Bayesian framework, a comprehensive investigation of mixtures of finite mixtures (MFMs), i.e., finite mixtures with a prior on the number of components, is performed. This model class has applications in model-based clustering as well as for
Externí odkaz:
http://arxiv.org/abs/2005.09918
Autor:
Eriksen, Christine Schultz Yde, Walli, Melanie Desmaret, Van de Waal, Dedmer B., Helmsing, Nico R., Dahl, Emma Ove, Sørensen, Helle, Hansen, Per Juel
Publikováno v:
In Harmful Algae November 2023 129
Publikováno v:
Austrian Journal of Statistics, Vol. 40 (2011), No. 4, 241--264
An important task in building regression models is to decide which regressors should be included in the final model. In a Bayesian approach, variable selection can be performed using mixture priors with a spike and a slab component for the effects su
Externí odkaz:
http://arxiv.org/abs/1812.07259