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Gaussian Mixture Modeling with Gaussian Process Latent Variable Models
Density modeling is notoriously difficult for high dimensional data. One approach to the problem is to search for a lower dimensional manifold which captures the main characteristics of the data. Recently, the Gaussian Process Latent Variable Model (GPLVM) has successfully been used to find low dimensional manifolds in a variety of complex data. The GPLVM consists of a set of points in a low dimensional latent space, and a stochastic map to the observed space. We show how it can be interpreted as a density model in the observed space. However, the GPLVM is not trained as a density model and therefore yields bad density estimates. We propose a new training strategy and obtain improved generalisation performance and better density estimates in comparative evaluations on several benchmark data sets.
@inproceedings{6716, title = {Gaussian Mixture Modeling with Gaussian Process Latent Variable Models}, journal = {Pattern Recognition: 32nd DAGM Symposium}, booktitle = {Pattern Recognition}, abstract = {Density modeling is notoriously difficult for high dimensional data. One approach to the problem is to search for a lower dimensional manifold which captures the main characteristics of the data. Recently, the Gaussian Process Latent Variable Model (GPLVM) has successfully been used to find low dimensional manifolds in a variety of complex data. The GPLVM consists of a set of points in a low dimensional latent space, and a stochastic map to the observed space. We show how it can be interpreted as a density model in the observed space. However, the GPLVM is not trained as a density model and therefore yields bad density estimates. We propose a new training strategy and obtain improved generalisation performance and better density estimates in comparative evaluations on several benchmark data sets.}, pages = {271-282}, editors = {Goesele, M. , S. Roth, A. Kuijper, B. Schiele, K. Schindler}, publisher = {Springer}, organization = {Max-Planck-Gesellschaft}, institution = {Deutsche Arbeitsgemeinschaft für Mustererkennung}, school = {Biologische Kybernetik}, address = {Berlin, Germany}, month = sep, year = {2010}, slug = {6716}, author = {Nickisch, H. and Rasmussen, CE.}, month_numeric = {9} }