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Robust Bayesian mixture modelling [PDF]
Bayesian approaches to density estimation and clustering using mixture distributions allow the automatic determination of the number of components in the mixture. Previous treatments have focussed on mixtures having Gaussian components, but these are well known to be sensitive to outliers, which can lead to excessive sensitivity to small numbers of ...
Markus Svensén, Christopher M. Bishop
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1999
Consider the problem of fitting a finite Gaussian mixture, with an unknown number of components, to observed data. This paper proposes a new minimum description length (MDL) type criterion, termed MMDL(f or mixture MDL), to select the number of components of the model.
Mário A. T. Figueiredo +2 more
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Consider the problem of fitting a finite Gaussian mixture, with an unknown number of components, to observed data. This paper proposes a new minimum description length (MDL) type criterion, termed MMDL(f or mixture MDL), to select the number of components of the model.
Mário A. T. Figueiredo +2 more
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On Clustering by Mixture Models
2003Finite mixture models are being increasingly used to model the distributions of a wide variety of random phenomena and to cluster data sets; see, for example, McLachlan and Peel (2000a). We consider the use of normal mixture models to cluster data sets of continuous multivariate data, concentrating on some of the associated computational issues.
McLachlan, G. J., Ng, A.S. K., Peel, D.
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Dirichlet Process Mixture of Mixtures Model for Unsupervised Subword Modeling
IEEE/ACM Transactions on Audio, Speech, and Language Processing, 2018We develop a parallelizable Markov chain Monte Carlo sampler for a Dirichlet process mixture of mixtures model. Our sampler jointly infers a codebook and clusters. The codebook is a global collection of components. Clusters are mixtures, defined over the codebook.
Michael Heck +2 more
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Mixture Models of Categorization
Journal of Mathematical Psychology, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Design and Modeling Strategies for Mixture-of-Mixtures Experiments
Technometrics, 2011In mixture-of-mixtures experiments major components are defined as the components which themselves are mixtures of some other components, called minor components. Sometimes components are divided into different categories where each category is called a major component and the components within a major component become minor components.
Lulu Kang +2 more
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Mixture of mixture n-gram language models
2013 IEEE Workshop on Automatic Speech Recognition and Understanding, 2013This paper presents a language model adaptation technique to build a single static language model from a set of language models each trained on a separate text corpus while aiming to maximize the likelihood of an adaptation data set given as a development set of sentences.
Hasim Sak +3 more
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Multilevel Mixture Factor Models
Multivariate Behavioral Research, 2012Factor analysis is a statistical method for describing the associations among sets of observed variables in terms of a small number of underlying continuous latent variables. Various authors have proposed multilevel extensions of the factor model for the analysis of data sets with a hierarchical structure.
Varriale R., Vermunt J. K.
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Finite Mixture Models for Proportions
Biometrics, 1997Six data sets recording fetal control mortality in mouse litters are presented. The data are clearly overdispersed, and a standard approach would be to describe the data by means of a beta-binomial model or to use quasi-likelihood methods. For five of the examples, we show that beta-binomial model provides a reasonable description but that the fit can ...
Brooks, SP +3 more
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Latent Dirichlet mixture model
Neurocomputing, 2018Text representation based on latent topic model is seen as a non-Gaussian problem where the observed words and latent topics are multinomial variables and the topic proportionals are Dirichlet variables. Traditional topic model is established by introducing a single Dirichlet prior to characterize the topic proportionals.
Jen-Tzung Chien +2 more
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