Pattern classification - Brain Research Imaging Centre Edinburgh
Pattern classification - Brain Research Imaging Centre Edinburgh
Pattern classification - Brain Research Imaging Centre Edinburgh
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Linear classifier prediction<br />
General equation: making predictions for a test<br />
example x * with kernel methods<br />
w =<br />
N<br />
å<br />
i =1<br />
a i<br />
x i<br />
kernel<br />
definition<br />
f (x *<br />
) = w× x *<br />
+ b<br />
f (x *<br />
) =<br />
f (x *<br />
) =<br />
N<br />
å<br />
i =1<br />
N<br />
å<br />
i =1<br />
a i<br />
x i<br />
× x *<br />
+ b<br />
a i<br />
K(x i<br />
,x *<br />
) + b<br />
Primal representation<br />
Dual representation<br />
f(x * ) =<br />
signed distance to boundary (<strong>classification</strong>)<br />
predicted score (regression)