By U.A.Bakshi, A.P.Godse
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The problem of concern is: how should the designer in practice select an effective subset of p attributes from a large set of Np attributes? 1 and it was pointed out that the effectiveness is conditioned on (i) an index of performanc~, IP, related to the decision procedure used by the designer, and on (ii) "the means for categorization" meaning the device by which the decision space is partitioned. In practice it is usually not too important for the effectiveness which IP is used. 1 V9 fl(E 1) A Bivariate Distribution.
A point that represents a M pattern is assumed to fall in one and only one of the micro-regions; such a pattern point will be called ~. If a point represents a member of Ci ' it is referred to as a Ci -poi nt and it 11i 11 be ca 11 ed i ~. Let the probabi 1ity with which a Ci-point falls in micro-region Wk be P(i)k. 34 (1. 1 ) Let Ppr(i) be the a priori probability of an unlabeled pattern belonging to pattern class Ci . The probability of an unlabeled pattern being repre- sented by a point that falls in micro-region Wk is then Pk .
2. The need for separation surfaces of simple shape give rise to the question: what can the designer do to make such surfaces optimum (or near optimum) and in particular what can he do to avoid that highly convoluted surfaces become optimum? It is in general so that the surface which is needed to separate disjointed classes (and to a lesser degree classes with multimodal distributions) from each other is of a more complicated shape than the surface needed to separate classes with unimodal distributions.
Analog Electronics by U.A.Bakshi, A.P.Godse