Multiple-Alternative Adaptive Pattern Recognition with Parameter Estimation, When Ambiguous Decisions Are Allowed

Under conditions of parametrically specified a priori indeterminacy, the author obtains an adaptive Bayesian solution for the multiple-alternative recognition problem, with estimation of the informative parameters of the patterns. In obtaining a solution, ambiguity of the hypotheses is allowed. The author offers approximations, valid for the case in which the observational data have a high degree of informativeness, such that the recognition-with-estimation algorithm proves to be fairly simple to implement. An example is considered.