Question: 6.4 Symmetric di erence kernel. Let X be a nite set. Show that the kernel K de ned over 2X, the set of subsets of

6.4 Symmetric dierence kernel. Let X be a nite set. Show that the kernel K dened over 2X, the set of subsets of X, by 8A;B 2 2X;K(A;B) = exp

????

1 2jABj

;

where AB is the symmetric dierence of A and B is PDS (Hint: you could use the fact that K is the result of the normalization of a kernel function K0).

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