Conditional mean embeddings as regressors

@inproceedings{Grnewlder2012ConditionalME,
  title={Conditional mean embeddings as regressors},
  author={Steffen Gr{\"u}new{\"a}lder and Guy Lever and Arthur Gretton and Luca Baldassarre and Sam Patterson and Massimiliano Pontil},
  booktitle={ICML},
  year={2012}
}
We demonstrate an equivalence between reproducing kernel Hilbert space (RKHS) embeddings of conditional distributions and vector-valued regressors. This connection introduces a natural regularized loss function which the RKHS embeddings minimise, providing an intuitive understanding of the embeddings and a justification for their use. Furthermore, the equivalence allows the application of vector-valued regression methods and results to the problem of learning conditional distributions. Using… CONTINUE READING
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