Kernels for Vector-Valued Functions: a Review

@article{lvarez2012KernelsFV,
  title={Kernels for Vector-Valued Functions: a Review},
  author={Mauricio A {\'A}lvarez and Lorenzo Rosasco and Neil D. Lawrence},
  journal={ArXiv},
  year={2012},
  volume={abs/1106.6251}
}
Kernel methods are among the most popular techniques in machine learning. From a regularization perspective they play a central role in regularization theory as they provide a natural choice for the hypotheses space and the regularization functional through the notion of reproducing kernel Hilbert spaces. From a probabilistic perspective they are the key in the context of Gaussian processes, where the kernel function is known as the covariance function. Traditionally, kernel methods have been… 

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