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Approximating optimally discrete probability distribution with kth-order dependency for combining multiple decisions

✍ Scribed by Hee-Joong Kang; Kawon Kim; Jin H. Kim


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
704 KB
Volume
62
Category
Article
ISSN
0020-0190

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✦ Synopsis


A probabilistic combination of K classifiers' decisions obtained from samples needs a (K + &t-order probability distribution. as well as proposed an approximation scheme of such a high-order distribution with a product of only first-order tree dependencies. However, if a classifier follows mom than two classifiers, such first-order dependency does not estimate adequately a high-order distribution. Therefore, a new method is proposed to approximate optimally the (K + l)st-order distribution with a product set of M-order dependencies where 1 Q k Q K, which are identified by a systematic dependency-directed approach. And also, a new method is presented to combine probabilistitally multiple decisions with the product set of the M-order dependencies, using a Bayesian formalism.