Changeset 627 for trunk/doc/Statistics.tex
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 Sep 5, 2006, 7:39:45 AM (15 years ago)
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trunk/doc/Statistics.tex
r586 r627 275 275 \subsection{Polynomial Kernel} 276 276 The polynomial kernel of degree $N$ is defined as $(1+<x,y>)^N$, where 277 $<x,y>$ is the linear ke nrel (usual scalar product). For weights we278 define the linear kernel to be $<x,y>=\frac{\sum w_xw_yxy}{\sum 279 w_xw_y}$ and thepolynomial kernel can be calculated as before277 $<x,y>$ is the linear kernel (usual scalar product). For the weighted 278 case we define the linear kernel to be $<x,y>=\sum w_xw_yxy}$ and the 279 polynomial kernel can be calculated as before 280 280 $(1+<x,y>)^N$. Is this kernel a proper kernel (always being semi 281 281 positive definite). Yes, because $<x,y>$ is obviously a proper kernel
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