Corpus ID: 15044060

Operator-valued Kernels for Learning from Functional Response Data

@article{Kadri2016OperatorvaluedKF,
  title={Operator-valued Kernels for Learning from Functional Response Data},
  author={H. Kadri and E. Duflos and P. Preux and S. Canu and A. Rakotomamonjy and J. Audiffren},
  journal={ArXiv},
  year={2016},
  volume={abs/1510.08231}
}
In this paper we consider the problems of supervised classification and regression in the case where attributes and labels are functions: a data is represented by a set of functions, and the label is also a function. We focus on the use of reproducing kernel Hilbert space theory to learn from such functional data. Basic concepts and properties of kernel-based learning are extended to include the estimation of function-valued functions. In this setting, the representer theorem is restated, a set… Expand
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