Corpus ID: 13973573

Nonlinear functional regression: a functional RKHS approach

@inproceedings{Kadri2010NonlinearFR,
  title={Nonlinear functional regression: a functional RKHS approach},
  author={H. Kadri and E. Duflos and P. Preux and S. Canu and M. Davy},
  booktitle={AISTATS},
  year={2010}
}
This paper deals with functional regression, in which the input attributes as well as the response are functions. To deal with this problem, we develop a functional reproducing kernel Hilbert space approach; here, a kernel is an operator acting on a function and yielding a function. We demonstrate basic properties of these functional RKHS, as well as a representer theorem for this setting; we investigate the construction of kernels; we provide some experimental insight. 
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  • 2
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  • 12
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References

SHOWING 1-10 OF 24 REFERENCES
Nonlinear functional models for functional responses in reproducing kernel Hilbert spaces
  • 50
  • Highly Influential
  • PDF
Regression models for functional data by reproducing kernel Hilbert spaces methods
  • 101
  • PDF
Functional learning through kernels
  • 36
  • PDF
Kernels for Multi--task Learning
  • 142
  • PDF
On Learning Vector-Valued Functions
  • 430
  • PDF
Functional learning through kernel
  • 22
  • PDF
Methods of canonical analysis for functional data
  • 50
Functional Data Analysis
  • H. Müller
  • Computer Science
  • International Encyclopedia of Statistical Science
  • 2011
  • 1,954
  • Highly Influential
  • PDF
Theory of Reproducing Kernels.
  • 4,735
  • PDF
Applied Functional Data Analysis
  • 546
...
1
2
3
...