akerman Posted November 13, 2015 Share Posted November 13, 2015 I am preparing myself for maths exam and I am really struggling with kernels.I have following six kernels and I need to prove that each of them is valid and derive feature map.1) K(x,y) = g(x)g(y), g:R^d -> RWith this one I know it is valid but I don't know how to prove it. Also is g(x) a correct feature map?2) K(x,y) = x^T * D * y, D is diagonal matrix with no negative entriesWith this one I am also sure that it is valid but I have no idea how to prove it or derive feature mapFor the following four I don't know anything.3) K(x,y) = x^T * y - (x^T * y)^24) K(x,y) = $\prod_{i=1}^{d} x_{i}y_{i}$∏di=1xiyi5) cos(angle(x,x'))6) min(x,x'), x,x' >=0 Please help me as I am very struggling with kernel methods and if you could please provide as much explanation as possible Link to comment Share on other sites More sharing options...
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