# Changeset 627 for trunk/doc

Ignore:
Timestamp:
Sep 5, 2006, 7:39:45 AM (16 years ago)
Message:

fixes #124 also extended interface of AveragerPairWeighted? supporting DataLookupWeighted1D

File:
1 edited

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Unmodified
 r586 \subsection{Polynomial Kernel} The polynomial kernel of degree $N$ is defined as $(1+)^N$, where $$is the linear kenrel (usual scalar product). For weights we define the linear kernel to be =\frac{\sum w_xw_yxy}{\sum w_xw_y} and the polynomial kernel can be calculated as before$$ is the linear kernel (usual scalar product). For the weighted case we define the linear kernel to be $=\sum w_xw_yxy}$ and the polynomial kernel can be calculated as before $(1+)^N$. Is this kernel a proper kernel (always being semi positive definite). Yes, because  is obviously a proper kernel