linear function assigns score possible category ''k'' combining feature vector instance vector weights using dot product predicted category one highest score type score function known linear predictor function following general form math operatorname score mathbf x ik boldsymbol beta k cdot mathbf x math '''x''' sub ''i'' sub feature vector instance ''i'' ''' beta ''' sub ''k'' sub vector weights corresponding category ''k'' score '''x''' sub ''i'' sub ''k'' score associated assigning instance ''i'' category ''k''
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