Classification Learning From Data Chapter 8 Outline ▼ 8.1 Statistical Learning Theory Formulation ▼ 8.2 Classical Formulation ▼ 8.3 Methods for Classification ▼ 8.4 Summary ▼ Classification Input sample x=(x 1 , x 2 , …, x d ) is classified to one (and only one) of J groups. Concerned with relationship between the class- membership label and feature vector. Goal is to estimate the mapping x → y (decision rule) using labeled training data (x i , y i ). ▼ Two-class problem Output of the system ◆ Takes on values y={0, 1}. Learning machine ◆ Implement a set of indicator functions f(x, ω). Loss function ) , ( ) , ( 1 0 )) , ( , ( ω ω x f y if x f y if w x f y L ≠ = =