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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)

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