There are many hierarchical clustering algorithms available, but these lack a firm statistical basis. Here we set up a hierarchical probabilistic mixture model, where data is generated in a hierarchical tree-structured manner. Markov chain Monte Carlo (MCMC) methods are demonstrated which can be used to sample from the posterior distribution over trees containing variable numbers of hidden units.

Nonparametric models are versatile, albeit computationally expensive, tool for modeling mixture models. In this paper, we introduce spectral methods for the two most popular nonparametric models: the Indian Buffet Process (IBP) and the Hierarchical Dirichlet Process (HDP). We show that using spectral methods for the inference of nonparametric models are computationally and statistically efficie...

This paper deals with numerical approximation of optimal control problems for heterogeneous systems by generalized Newton’s method (SQP method, see e.g. [1, 3]). The main concern is to establish error estimates, and moreover, such estimates that reveal the advantage of using appropriate second order discretization schemes. In this respect the main result in the paper is new even in the special ...

This study examines how different dimensions of corpus frequency data may affect the outcome of statistical modeling of lexical items. Our analysis mainly focuses on a recently constructed elderly speaker corpus that is used to reveal patterns of aging people’s language use. A conversational corpus contributed by speakers in their 20s serves as complementary material. The target words examined ...

This study examines how different dimensions of corpus frequency data may affect the outcome of statistical modeling of lexical items. The corpus used in our analysis is an elderly speaker corpus in its early development, and the target words are temporal expressions, which might reveal how the speech produced by the elderly is organized. We conduct divisive hierarchical clustering based on two...

Remote rendering and visualization for large geometrical models or complex scenes calls for efficient transmission. One effective method for the transmission is to stream the model data based on region-of-interest (ROO strategies and partial updating of consecutive 6ames. In this paper, we propose such an interactive streaming transmission scheme for point-based models. The technique of view-de...