“…Topics covered are: Construction of Lp-strong Feller processes using Dirichlet form methods, regularity for solutions of elliptic boundary value problems, construction of elliptic diffusions with singular drift and reflection, Skorokhod decomposition and applications to Mathematical Physics like finite particle systems with singular interaction. …”
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“…They then adopt a nonparametric Bayesian approach in defining a prior using the hierarchical Dirichlet process (HDP) on the standard HMM parameters, known as the Hierarchical Dirichlet Process Hidden Markov Model (HDP-HMM). …”
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“…In this work, we propose unsupervised, scaled, Dirichlet-based hidden Markov models to analyze human activities. …”
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“…We recommend the use of the new Dirichlet prior in Bayesian divergence time estimation. …”
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“…In 1842, Dirichlet observed that any real number [Formula: see text] can be obtained as the limit of a sequence [Formula: see text] of irreducible rational numbers. …”
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“…Using the DDP to draw the mixing measures, Dirichlet process mixtures are used to learn and assign each measurement to its associated object identity. …”
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“…We propose two efficient clustering methods utilizing (1) a Dirichlet process and (2) geometrical information in the context of occupancy mapping. …”
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“…We consider a flow of a non-Newtonian heat conducting incompressible fluid in a bounded domain subjected to the homogeneous Dirichlet boundary condition for the velocity field and the Dirichlet boundary condition for the temperature. …”
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“…The Dirichlet problem in the half-plane for strong elliptic differential-difference equations with nonlocal potentials is considered. …”
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“…Specifically, the fixed and mixed boundary conditions correspond to Neumann conditions, while the free boundary condition and the new one recently found by Affleck et al [1] have a natural interpretation as Dirichlet conditions for a higher-spin current. The latter two conditions are governed by the Lee\hy Yang fusion rules. …”
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“…More specifically, it gives brief non-technical overviews of Gaussian processes, Dirichlet processes, infinite hidden Markov models, Indian buffet processes, Kingman’s coalescent, Dirichlet diffusion trees and Wishart processes.…”
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“…We have developed a survival-supervised latent Dirichlet allocation (survLDA) modeling framework to address these challenges. …”
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“…Moreover, compared to many conventional models, the algorithm requires little manual involvement due to the nonparametric nature of Dirichlet process (DP). We validated proposed model upon clinical data consisting of healthy and abnormal (lung cancer) patients. …”
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“…In this paper, the renormalization procedure is developed for the probabilistic Latent Semantic Analysis (pLSA), and the Latent Dirichlet Allocation model with variational Expectation–Maximization algorithm (VLDA) and the Latent Dirichlet Allocation model with granulated Gibbs sampling procedure (GLDA). …”
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“…In the first stage, topic modelling with Latent Dirichlet Allocation was applied to derive the per-document topic probabilities. …”
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“…Limits of these solutions then produce solutions of some non‐homogeneous Dirichlet problem as the interior data concentrate suitably to the boundary. …”
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“…Simultaneously, we find that Hierarchical Dirichlet Process (HDP) model as a well-known approach for topic number optimization fails to detect such optimum. …”
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“…We propose two Bayesian nonparametric estimators, based on Dirichlet process mixtures, for estimating the overlap coefficient. …”
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“…In this article, the author generalizes several fundamental results for arithmetic divisors, such as the continuity of the volume function, the generalized Hodge index theorem, Fujita's approximation theorem for arithmetic divisors, Zariski decompositions for arithmetic divisors on arithmetic surfaces and a special case of Dirichlet's unit theorem on arithmetic varieties, to the case of the adelic arithmetic divisors.…”
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“…In this paper, we propose a Multinomial-Generalized-Dirichlet (MGD) model to adjust for baseline shifts. …”
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