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Laplacian regularized generalized Dirichlet mixture distribution for data clustering
Communications in Statistics - Simulation and Computation, 2018The techniques for data clustering have been frequently applied in machine learning and computer vision, data mining.
Baohua Li, Lixia Hu
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2012
In this paper, we propose a novel Bayesian nonparametric statistical approach of simultaneous clustering and localized feature selection for unsupervised learning. The proposed model is based on a mixture of Dirichlet processes with generalized Dirichlet (GD) distributions, which can also be seen as an infinite GD mixture model.
Wentao Fan 0001, Nizar Bouguila
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In this paper, we propose a novel Bayesian nonparametric statistical approach of simultaneous clustering and localized feature selection for unsupervised learning. The proposed model is based on a mixture of Dirichlet processes with generalized Dirichlet (GD) distributions, which can also be seen as an infinite GD mixture model.
Wentao Fan 0001, Nizar Bouguila
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Processing random processes with generalized Dirichlet distribution
RadioengineeringThe solution of a number of practical problems, such as detection, recognition, etc., involves the use of signal processing procedures invariant with respect to scale parameters. It should be borne in mind that the amplitude of the input signal is either unknown or changes randomly.
V.M. Artyushenko +2 more
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Clustering of Count Data Using Generalized Dirichlet Multinomial Distributions
IEEE Transactions on Knowledge and Data Engineering, 2008In this paper, we examine the problem of count data clustering. We analyze this problem using finite mixtures of distributions. The multinomial distribution and the multinomial Dirichlet distribution (MDD) are widely accepted to model count data. We show that these two distributions cannot be the best choice in all the applications, and we propose ...
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A COMPREHENSIVC GENERALIZED MEAN VALUE BASED ON THE DIRICHLET DISTRIBUTION
Quaestiones Mathematicae, 1985ABSTRACT The Hardy, Littlewood, Polya class of power means (wiza 1 + …+wn za n)1/a, including the usual harmonic, geometric, and arithmetic mean values, has been generalized by Bruno deFinetti and B. C. Carlson. These two generalizations are here simultaneously extended to a comprehensive generalized mean value involving an arbitrary continuous ...
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Adaptive Priors for Burstiness Analysis in Topic Modeling with Generalized Dirichlet Distributions
2023 IEEE International Conference on High Performance Computing & Communications, Data Science & Systems, Smart City & Dependability in Sensor, Cloud & Big Data Systems & Application (HPCC/DSS/SmartCity/DependSys), 2023Shadan Ghadimi +3 more
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Generalized Cesàro Operators on Dirichlet-Type Spaces
Acta Mathematica Scientia, 2022Shuan Tang, Jianjun Jin
exaly