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arXiv 2002.09112stat.MLcs.LG

Deep Sigma Point Processes

The Broad Institute(博德研究所);Cornell University(康奈尔大学);University of Pennsylvania(宾夕法尼亚大学)

Martin Jankowiak, Geoff Pleiss, Jacob R. Gardner

英文摘要:

We introduce Deep Sigma Point Processes, a class of parametric models inspired by the compositional structure of Deep Gaussian Processes (DGPs). Deep Sigma Point Processes (DSPPs) retain many of the attractive features of (variational) DGPs, including mini-batch training and predictive uncertainty that is controlled by kernel basis functions. Importantly, since DSPPs admit a simple maximum likelihood inference procedure, the resulting predictive distributions are not degraded by any posterior approximations. In an extensive empirical comparison on univariate and multivariate regression tasks we find that the resulting predictive distributions are significantly better calibrated than those obtained with other probabilistic methods for scalable regression, including variational DGPs--often by as much as a nat per datapoint.

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