Exercise 5.4 - More reject options

Answers

For question (a), we need to choose from:

( 3 , 10 × ( 1 0.8 ) = 2 ) ,

hence the optimal decision is class 0 .

For question (b), we need to choose from:

( 3 , 10 × ( 1 0.6 ) = 4 ) ,

hence the optimal decision is reject.

For question (c), the threshold is where:

λ r = ( 1 p ( ŷ | x ) ) λ s .

Plugging in figures we have:

p ( ŷ | x ) = 0.7 .

Thus 𝜃 1 = 0.7 , 𝜃 0 = 0.3 by symmetry.

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2021-03-24 13:42
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