Changeset 627 for trunk/doc


Ignore:
Timestamp:
Sep 5, 2006, 7:39:45 AM (15 years ago)
Author:
Peter
Message:

fixes #124 also extended interface of AveragerPairWeighted? supporting DataLookupWeighted1D

File:
1 edited

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  • trunk/doc/Statistics.tex

    r586 r627  
    275275\subsection{Polynomial Kernel}
    276276The polynomial kernel of degree $N$ is defined as $(1+<x,y>)^N$, where
    277 $<x,y>$ is the linear kenrel (usual scalar product). For weights we
    278 define the linear kernel to be $<x,y>=\frac{\sum w_xw_yxy}{\sum
    279 w_xw_y}$ and the polynomial kernel can be calculated as before
     277$<x,y>$ is the linear kernel (usual scalar product). For the weighted
     278case we define the linear kernel to be $<x,y>=\sum w_xw_yxy}$ and the
     279polynomial kernel can be calculated as before
    280280$(1+<x,y>)^N$. Is this kernel a proper kernel (always being semi
    281281positive definite). Yes, because $<x,y>$ is obviously a proper kernel
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