6.12 Explicit polynomial kernel mapping. Let K be a polynomial kernel of degree d, i.e., K: RN...
Question:
6.12 Explicit polynomial kernel mapping. Let K be a polynomial kernel of degree
d, i.e., K: RN RN ! R, K(x; x0) = (x x0 + c)d, with c > 0, Show that the dimension of the feature space associated to K is
N + d d
: (6.26)
Write K in terms of kernels ki : (x; x0) 7! (x x0)i, i 2 f0; : : : ; dg. What is the weight assigned to each ki in that expression? How does it vary as a function of c?
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Related Book For 
Foundations Of Machine Learning
ISBN: 9780262351362
2nd Edition
Authors: Mehryar Mohri, Afshin Rostamizadeh
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