1 24 ( ) www Consider a classification problem in which the loss incurred when an input vector from class Ck is classified as belonging to class Cj is given by the loss matrix Lkj, and for which the loss incurred in selecting the reject option is Find the decision criterion that will give the minimum expected loss Verify that this reduces to the reject criterion discussed in Section 1 5 3 when the loss matrix is given by Lkj 1Ikj What is the relationship between and the rejection threshold

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Question: 1.24 ( ) www Consider a classification problem in which the loss incurred when an input vector from class Ck is classified as belonging to

1.24 ( ) www Consider a classification problem in which the loss incurred when an input vector from class Ck is classified as belonging to class Cj is given by the loss matrix Lkj, and for which the loss incurred in selecting the reject option is λ.

Find the decision criterion that will give the minimum expected loss. Verify that this reduces to the reject criterion discussed in Section 1.5.3 when the loss matrix is given by Lkj = 1−Ikj. What is the relationship between λ and the rejection threshold θ?

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