Variational Bayesian learning for Dirichlet process mixture of inverted Dirichlet distributions in non-Gaussian image feature modeling

Z Ma, Y Lai, WB Kleijn, YZ Song… - IEEE transactions on …, 2018 - ieeexplore.ieee.org
In this paper, we develop a novel variational Bayesian learning method for the Dirichlet
process (DP) mixture of the inverted Dirichlet distributions, which has been shown to be very …

Variational bayesian inference for infinite generalized inverted dirichlet mixtures with feature selection and its application to clustering

T Bdiri, N Bouguila, D Ziou - Applied Intelligence, 2016 - Springer
We developed a variational Bayesian learning framework for the infinite generalized
Dirichlet mixture model (ie a weighted mixture of Dirichlet process priors based on the …

Bayesian estimation of Dirichlet mixture model with variational inference

Z Ma, PK Rana, J Taghia, M Flierl, A Leijon - Pattern Recognition, 2014 - Elsevier
In statistical modeling, parameter estimation is an essential and challengeable task.
Estimation of the parameters in the Dirichlet mixture model (DMM) is analytically intractable …

Variational learning for finite Dirichlet mixture models and applications

W Fan, N Bouguila, D Ziou - IEEE transactions on neural …, 2012 - ieeexplore.ieee.org
In this paper, we focus on the variational learning of finite Dirichlet mixture models.
Compared to other algorithms that are commonly used for mixture models (such as …

Online learning of hierarchical Pitman–Yor process mixture of generalized Dirichlet distributions with feature selection

W Fan, H Sallay, N Bouguila - IEEE transactions on neural …, 2016 - ieeexplore.ieee.org
In this paper, a novel statistical generative model based on hierarchical Pitman-Yor process
and generalized Dirichlet distributions (GDs) is presented. The proposed model allows us to …

Variational learning of a Dirichlet process of generalized Dirichlet distributions for simultaneous clustering and feature selection

W Fan, N Bouguila - Pattern Recognition, 2013 - Elsevier
This paper introduces a novel enhancement for unsupervised feature selection based on
generalized Dirichlet (GD) mixture models. Our proposal is based on the extension of the …

Bayesian estimation of the von-Mises Fisher mixture model with variational inference

J Taghia, Z Ma, A Leijon - IEEE transactions on pattern analysis …, 2014 - ieeexplore.ieee.org
This paper addresses the Bayesian estimation of the von-Mises Fisher (vMF) mixture model
with variational inference (VI). The learning task in VI consists of optimization of the …

A Dirichlet process mixture of generalized Dirichlet distributions for proportional data modeling

N Bouguila, D Ziou - IEEE Transactions on Neural Networks, 2009 - ieeexplore.ieee.org
In this paper, we propose a clustering algorithm based on both Dirichlet processes and
generalized Dirichlet distribution which has been shown to be very flexible for proportional …

Unsupervised learning of Gaussian mixtures based on variational component splitting

C Constantinopoulos, A Likas - IEEE Transactions on Neural …, 2007 - ieeexplore.ieee.org
In this paper, we present an incremental method for model selection and learning of
Gaussian mixtures based on the recently proposed variational Bayes approach. The method …

The infinite Student's t-mixture for robust modeling

X Wei, C Li - Signal Processing, 2012 - Elsevier
Finite mixture models have been widely used for modeling probability distribution of real
data sets due to its benefits from analytical tractability. Among the finite mixtures, the finite …