Geodesic
Algorithms for finding logical regularities in pattern recognition
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 2, pp. 329-344

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Three algorithms for finding logical regularities of classes in the precedent-based recognition problem are proposed. Logical regularities of classes are defined as conjunctions of special oneplace predicates that determine the membership of a value of a feature in a certain interval of the real axis. The conjunctions are true on as large subsets of reference objects of a certain class as possible. The problem of finding logical regularities is formulated as a special integer programming problem. Relaxation, genetic, and combinatorial algorithms are proposed for solving this problem. Comparison results for these algorithms using model and real-time problems are presented. Comparison results for various estimate evaluation recognition algorithms that use logical regularities of classes in voting procedures are also presented. 
@article{ZVMMF_2008_48_2_a13,
     author = {N. V. Kovshov and V. L. Moiseev and V. V. Ryazanov},
     title = {Algorithms for finding logical regularities in pattern recognition},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {329--344},
     publisher = {mathdoc},
     volume = {48},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_2_a13/}
}
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N. V. Kovshov; V. L. Moiseev; V. V. Ryazanov. Algorithms for finding logical regularities in pattern recognition. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 2, pp. 329-344. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_2_a13/