Semi-Supervised Domain Adaptation with Non-Parametric Copulas

Part of Advances in Neural Information Processing Systems 25 (NIPS 2012)

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Authors

David Lopez-paz, Jose Hernández-lobato, Bernhard Schölkopf

Abstract

A new framework based on the theory of copulas is proposed to address semi-supervised domain adaptation problems. The presented method factorizes any multivariate density into a product of marginal distributions and bivariate copula functions. Therefore, changes in each of these factors can be detected and corrected to adapt a density model across different learning domains. Importantly, we introduce a novel vine copula model, which allows for this factorization in a non-parametric manner. Experimental results on regression problems with real-world data illustrate the efficacy of the proposed approach when compared to state-of-the-art techniques.