Bounded Gaussian Process Regression, 2013

Authors: Bjørn Sand Jensen, Jan Larsen, Jens Brehm Nielsen
Type: Conference paper
Conference: IEEE International Workshop on Machine Learning for Signal Processing
Title: IEEE International Workshop on Machine Learning for Signal Processing
Year: 2013

Abstract: We extend the Gaussian process (GP) framework for bounded regression by introducing two bounded likelihood functions that model the noise on the dependent variable explicitly. This is fundamentally different from the implicit noise assumption in the previously suggested warped GP framework. We approximate the intractable posterior distributions by the Laplace approximation and expectation propagation and show the properties of the models on an artificial example. We finally consider two real-world data sets originating from perceptual rating experiments which indicate a significant gain obtained with the proposed explicit noise-model extension

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