@MISC\{IMM2011-06203, author = "B. S. Jensen and J. B. Nielsen and J. Larsen", title = "On the Product Probability Kernel in Sparse Gaussian Process Models", year = "2011", month = "oct", keywords = "Product probability kernel, Kernel Methods, Gaussian Processes, Clustering, Generative Kernels", publisher = "{DTU} - {IMM}", address = "", url = "http://www2.compute.dtu.dk/pubdb/pubs/6203-full.html", abstract = "In this report we consider the particular use of the product probability kernel in models based on the pseudo-input formulation of Gaussian process priors. In particular we focus on modeling inputs as generative mixture models which in effect “forces” the pseudo-inputs to be densities as well. We focus on the learning and interpretation of these pseudo-input/densities in a clustering sense, and provide a few connections with other formulations of covariance structure for pseudo inputs." }