Kernels for Vector-Valued Functions: A Review

作者: Neil D. Lawrence , Lorenzo Rosasco , Mauricio A. Álvarez

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摘要: Kernel methods are among the most popular techniques in machine learning. From a regularization perspective they play central role theory as provide natural choice for hypotheses space and functional through notion of reproducing kernel Hilbert spaces. probabilistic key context Gaussian processes, where function is known covariance function. Traditionally, have been used supervised learning problems with scalar outputs indeed there has considerable amount work devoted to designing kernels. More recently an increasing interest that deal multiple outputs, motivated partially by frameworks like multitask In this monograph, we review different design or learn valid functions paying particular attention connection between methods.

参考文章(104)
Daniel Sheldon, Graphical Multi-Task Learning ,(2008)
Catherine A. Calder, Noel Cressie, Some topics in convolution-based spatial modeling pp. 132- ,(2007)
Matthias Seeger, Michael Jordan, None, Sparse Gaussian Process Classification With Multiple Classes Department of Statistics, University of Berkeley, CA. ,(2004)
Michael L. Stein, Interpolation of Spatial Data Springer New York. ,(1999) , 10.1007/978-1-4612-1494-6
Tom Minka, Rosalind W. Picard, Learning How to Learn is Learning With Point Sets ,(2017)
Mauricio A. Alvarez, Convolved Gaussian Process Priors for multivariate regression with applications to Dynamical Systems [Thesis]. Manchester, UK: The University of Manchester; 2011.. ,(2011)
Robert Tibshirani, Trevor Hastie, Jerome H. Friedman, The Elements of Statistical Learning ,(2001)
Neil D. Lawrence, David Luengo, Mauricio A. Álvarez, Latent Force Models international conference on artificial intelligence and statistics. pp. 9- 16 ,(2009)
Yee Whye Teh, Matthias Seeger, Michael I Jordan, None, Semiparametric Latent Factor Models international conference on artificial intelligence and statistics. ,(2005)
J. A. Vargas-Guzmán, A. W. Warrick, D. E. Myers, Coregionalization by Linear Combination of Nonorthogonal Components Mathematical Geosciences. ,vol. 34, pp. 405- 419 ,(2002) , 10.1023/A:1015078911063