I have general form of Gaussian kernel $K(x,x')=\exp(-\|x-x'\|^{2})$ (just not considering $\sigma$). I tried to prove its positive definiteness via Gram matrix properties, but couldn't. Is there any intuitive solution?
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1This needs more detail to be possible to answer. – mdewey Feb 04 '19 at 18:16
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explanation added – Mahmud Allahverdiyev Feb 04 '19 at 18:23
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1https://en.wikipedia.org/wiki/Gramian_matrix + https://math.stackexchange.com/questions/130554/gaussian-kernels-why-are-they-full-rank – Mark L. Stone Feb 04 '19 at 18:39