An Optimum Decision
نویسنده
چکیده
The concept of rejection is extended to that of class-selective rejection. That is, when an input pattern cannot be reliably assigned to one of the N classes in a N-class problem, it is assigned to a subset of classes that are most likely to issue the pattern, instead of simply rejecting the pattern. First, a new optimality criterion is appropriately deened to accommodate the newly introduced decision outcomes. Then, a new decision rule is derived and its optimality proven. Various upper-bounds on error rate are obtained. Finally, some examples are provided to illustrate the diierences between the optimum rule and other heuristic rules, such as top-n ranking.
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