Let x, y R 2 (i e , x and y are two dimensional vectors), and consider the kernel k(x, y) (2x T y 3) 3 Compute the feature vector (x) corresponding to this kernel (in other words, the feature representation of x and y such that (x) T (y) k(x, y) ...

Answer For any integer d 2 Here in this kernel d 3 Gener ...

Let x, y R 2 (i.e., x and y are two dimensional vectors), and consider the

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Question:

Let x, y ∈ R² (i.e., x and y are two dimensional vectors), and consider the kernel
k(x, y) = (2x^T y + 3)³ .
Compute the feature vector φ(x) corresponding to this kernel (in other words, the feature representation of x and y such that φ(x)^T φ(y) = k(x, y).