Positive Definite Functions, Feature Maps and Mercer Theorem

9.520/6.860, Class 04

Instructor: Lorenzo Rosasco

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Slides

Slides for this lecture: PDF

Class Reference Material

L. Rosasco, T. Poggio, Machine Learning: a Regularization Approach, MIT-9.520 Lectures Notes, Manuscript, Dec. 2017

Chapter 3 – Hypothesis Spaces

Note: The course notes, in the form of the circulated book draft is the reference material for this class. Related and older material can be accessed through previous year offerings of the course.

Further Reading

• N. Aronszajn, Theory of reproducing kernels, Transactions of the American Mathematical Society, 686, 337-404, 1950.
• A. Berlinet and C. Thomas-Agnan, Reproducing Kernel Hilbert Spaces in Probability and Statistics, Kluwer Academic Publishers, 2004.