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A Unified Block‐Modal Framework for Inverse Source Problems in Heat and Mass Transfer
International Journal for Numerical Methods in Engineering, Volume 127, Issue 19, 15 October 2026.ABSTRACT This work presents a unified block–modal framework for inverse source identification in linear diffusive problems arising in heat and mass transfer. Starting from a general parabolic model with mixed boundary operators, the Classical Integral Transform Technique is employed to project the dynamics onto an orthonormal eigenbasis, yielding a ...
André J. P. de Oliveira +5 more
wiley +1 more source
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Generalized Dirichlet Distribution in Bayesian Analysis
Applied Mathematics and Computation, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tzu-Tsung Wong
exaly +4 more sources
Variational Learning of a Dirichlet Process of Generalized Dirichlet Distributions for Simultaneous Clustering and Feature Selection [PDF]
Pattern Recognition, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wentao Fan, Nizar Bouguila
exaly +4 more sources
A Dirichlet Process Mixture of Generalized Dirichlet Distributions for Proportional Data Modeling
IEEE Transactions on Neural Networks, 2010In 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 data modeling. Our approach can be viewed as an extension of the finite generalized Dirichlet mixture model to the infinite case.
Nizar Bouguila
exaly +3 more sources
Generalized symmetrized dirichlet distributions
Acta Mathematicae Applicatae Sinica, 1988zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fang, Kaitai, Fang, Biqi
openaire +2 more sources
Generalized Poisson-Dirichlet distributions based on the Dickman subordinator
Теория вероятностей и ее применения, 2022Мы изучаем инвариантные относительно перестановок случайные разбиения, основанные на базовом субординаторе Дикмана и соответствующем семействе распределений Пуассона-Дирихле. Показано, что распределение большой выборки вектора, представляющего размеры блоков и количество блоков в разбиении $\{1,2,…,n\}$ после нормирования и центрирования, является ...
Maller, R., Shemehsavar, S.
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Value Distribution of General Dirichlet Series. V
Lithuanian Mathematical Journal, 2004Let \(s\) be a complex variable; then the series \(f_j(s)=\sum_{m=1}^\infty a_{mj}\exp(-s\lambda_m)\) is called a general Dirichlet series. In the present paper, the authors prove a joint universality theorem (in the sense of Voronin) for a family of general Dirichlet series \(f_j(s)\) subject to certain, mostly natural, conditions on the arithmetic of
Genys, J., Laurinčikas, A.
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IEEE Transactions on Neural Networks and Learning Systems, 2022
A Bayesian nonparametric approach for estimation of a Dirichlet process (DP) mixture of generalized inverted Dirichlet distributions [i.e., an infinite generalized inverted Dirichlet mixture model (InGIDMM)] has been proposed. The generalized inverted Dirichlet distribution has been proven to be efficient in modeling the vectors that contain only ...
Jun Guo, Jingyi Yu, Deyu Meng
exaly +4 more sources
A Bayesian nonparametric approach for estimation of a Dirichlet process (DP) mixture of generalized inverted Dirichlet distributions [i.e., an infinite generalized inverted Dirichlet mixture model (InGIDMM)] has been proposed. The generalized inverted Dirichlet distribution has been proven to be efficient in modeling the vectors that contain only ...
Jun Guo, Jingyi Yu, Deyu Meng
exaly +4 more sources
The generalized dirichlet distribution in enhanced topic detection
Proceedings of the 21st ACM international conference on Information and knowledge management, 2012We present a new, robust and computationally efficient Hierarchical Bayesian model for effective topic correlation modeling. We model the prior distribution of topics by a Generalized Dirichlet distribution (GD) rather than a Dirichlet distribution as in Latent Dirichlet Allocation (LDA). We define this model as GD-LDA.
Karla L. Caballero Espinosa +2 more
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Computers & Electrical Engineering, 2015
Display Omitted A statistical framework based on hierarchical Dirichlet processes and generalized Dirichlet distribution is developed.The framework simultaneously performs model parameters estimations as well as model complexity determination.The learning of the model is done via variational Bayes inference.The efficiency of the proposed algorithm is ...
Wentao Fan 0001 +3 more
openaire +1 more source
Display Omitted A statistical framework based on hierarchical Dirichlet processes and generalized Dirichlet distribution is developed.The framework simultaneously performs model parameters estimations as well as model complexity determination.The learning of the model is done via variational Bayes inference.The efficiency of the proposed algorithm is ...
Wentao Fan 0001 +3 more
openaire +1 more source