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Assume you have two datasets of ( x , y ) : D 1 = { ( 1 , + 1 ) , ( 0
Assume you have two datasets of x y:
D
D
If you use feature phi x x neither dataset can be linearly separated. You need to define a
twodimensional feature phi x to fix this such that:
A weight vector w can classify D perfectly ie wphi x if x has label and
wphi x if x has label ; and
A weight vector w can classify D perfectly;
Note the two datasets share the same features phi x but the weight vectors can be different. phi x x
normally can be rewritten as phi x x which is regarded as onedimensional feature.
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