Joint Gaussian Process-Density Mixtures
- đ¤ Speaker: Ole Winther, DTU / Inference Group
- đ Date & Time: Wednesday 11 May 2005, 14:00 - 15:00
- đ Venue: Ryle Seminar Room, Cavendish Laboratory
Abstract
Gaussian Processes (GPs) provide a natural framework for Bayesian kernel methods. This talk will be about some work in progress on combining GPs with density estimation in a mixture model. The motivations are: using kernels tuned individually to each mixture component gives a more flexible input-output model, unlabelled data can be used in a semi-supervised setting and the computational complexity can be reduced because only examples belonging to the same mixture component need to be included in the kernel matrix for that mixture component. I will illustrate the idea with a regression example using a coarse two-stage approximation: density estimation followed by weighted GP predictions. A more principled variational Bayes treatment of the joint estimation problem shows how a low complexity solution can be obtained.
Series This talk is part of the Inference Group series.
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Ole Winther, DTU / Inference Group
Wednesday 11 May 2005, 14:00-15:00