ABSTRACT
For specific applications including speech processing, the risk function can be reasonably chosen to be zero or one: rti = 1 for i # j and r22 = 0. Now, Eq. 6.1 can be simplified to
Then, the generic decision function design given by Eq. 6.3 becomes
C(x) = CZ if and only if P(Ci Ix) = msx P(Ci Ix). (6.5)
This is often more concisely written as
C, = arg mcax P(C3 1x), (6.6)
where arg max is an operation that finds the argument maximizing the function that follows.