lec3 (1)

Lec3(1) - • Cucker and Smale On the mathematical foundations of learning Bulletin of the American Mathematical Society 2002 • Evgeniou Pontil

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Lecture 3: Reproducing Kernel Hilbert Spaces Andrea Caponnetto Description We introduce a particularly useful family of hypothesis spaces called Reproducing Kernel Hilbert Spaces (RKHS) that have a key role in the theory of learning. We first provide the necessary background in functional analysis and then define RKHS using the reproducing property. We then derive the general solution of Tikhonov regularization in RKHS. Suggested Reading Aronszajn. Theory of reproducing kernels. Transactions of the American Mathematical Society, 686, 337-404, 1950.
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: • Cucker and Smale. On the mathematical foundations of learning. Bulletin of the American Mathematical Society, 2002. • Evgeniou, Pontil and Poggio. Regularization Networks and Support Vector Machines Advances in Computational Mathematics, 2000. • Girosi, F. An Equivalence between Sparse Approximation and Support Vector Machines. Neural Computation, Vol. 10, 1455-1480, 1998. (Appendix A) • Wahba, G. Spline Models for Observational Data Series in Applied Mathematics, Vol. 59, SIAM, 1990. (Chapter 1)...
View Full Document

This note was uploaded on 11/11/2011 for the course BIO 9.07 taught by Professor Ruthrosenholtz during the Spring '04 term at MIT.

Ask a homework question - tutors are online