6.11 Explicit mappings. (a) Denote a data set x1; : : : ; xm and a kernel...
Question:
6.11 Explicit mappings.
(a) Denote a data set x1; : : : ; xm and a kernel K(xi; xj) with a Gram matrix K. Assuming K is positive semidenite, then give a map () such that K(xi; xj) = h(xi); (xj)i.
(b) Show the converse of the previous statement, i.e., if there exists a mapping
(x) from input space to some Hilbert space, then the corresponding matrix K is positive semidenite.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Related Book For
Foundations Of Machine Learning
ISBN: 9780262351362
2nd Edition
Authors: Mehryar Mohri, Afshin Rostamizadeh
Question Posted: