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Publikation

Markov Logic Mixtures of Gaussian Processes: Towards Machines Reading Regression Data

Martin Schiegg; Marion Neumann; Kristian Kersting
In: Neil D. Lawrence; Mark A. Girolami (Hrsg.). Proceedings of the Fifteenth International Conference on Artificial Intelligence and Statistics. International Conference on Artificial Intelligence and Statistics (AISTATS-2012), April 21-23, La Palma, Spain, Pages 1002-1011, JMLR Proceedings, Vol. 22, JMLR.org, 2012.

Zusammenfassung

We propose a novel mixtures of Gaussian processes model in which the gating function is interconnected with a probabilistic logical model, in our case Markov logic networks. In this way, the resulting mixed graphical model, called Markov logic mixtures of Gaussian processes (MLxGP), solves joint Bayesian non-parametric regression and probabilistic relational inference tasks. In turn, MLxGP facilitates novel, interesting tasks such as regression based on logical constraints or drawing probabilistic logical conclusions about regression data, thus putting “machines reading regression data” in reach.

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