Computational complexity of recognition learning procedures in the class of piecewise-linear committee decision rules / Khachai M.Yu. // Automation and Remote Control. - 2010. - V. 72, l. 3. - P. 528-539.

ISSN:
00051179
Type:
Article
Abstract:
Two new results concerned with the computational and approximation complexities of the combinatorial optimization problems arising at learning pattern recognition in the class of committee piecewise-linear decision rule were discussed. © Pleiades Publishing, Ltd., 2010.
Author keywords:
Index keywords:
Approximation complexity; Combinatorial optimization problems; Decision rules; Learning patterns; Learning procedures; New results; Piecewise-linear; Combinatorial optimization; Pattern recognition; P
DOI:
10.1134/S0005117910030136
Смотреть в Scopus:
https://www.scopus.com/inward/record.uri?eid=2-s2.0-77950655613&doi=10.1134%2fS0005117910030136&partnerID=40&md5=99a7133467abf80c78e4d659201be7c0
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Link https://www.scopus.com/inward/record.uri?eid=2-s2.0-77950655613&doi=10.1134%2fS0005117910030136&partnerID=40&md5=99a7133467abf80c78e4d659201be7c0
Affiliations Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russian Federation
References Khachai, Mu., On computational complexity of the minimal committee problem and related problems (2006) Dokl. Ross. Akad. Nauk, 406 (6), pp. 742-745; Mazurov, V.D., Khachai, M.Yu., Parallel computations and committee constructions (2007) Autom. Remote Control, (5), pp. 912-921; Khachai, M.Yu., Computational and approximational complexity of combinatorial problems related to the committee polyhedral separability of finite sets (2008) Pattern Recognit. Image Anal., 18 (2), pp. 237-242; Lin, J.H., Vitter, J.S., Complexity results on learning by neural nets (1991) Machine Learning, (6), pp. 211-230; Megiddo, N., On the complexity of polyhedral separability (1988) Discrete Comput. Geometry, (3), pp. 325-337; Khachai, M.Yu., (2006) Tavrich. Vest. Inform. Mat., (1), pp. 34-43; Mazurov, V., (1971) Committees of Inequality Systems and Pattern Recognition Problem, (3), pp. 140-146. , Kibernetika; Blum, A.L., Rivest, R.L., Training a 3-node neural network is NP-complete (1992) Neural Networks, (5), pp. 117-127; Megiddo, N., Tamir, A., On the complexity of locating linear facilities in the plane (1982) Oper. Res. Lett., 1 (5), pp. 194-197; Khachai, M.Yu., Poberii, M.I., Computational complexity of the problems of committee polyhedral separability in the fixed-dimensionality spaces (2008) Tavrich. Vest. Inform. Mat., (2), pp. 218-227; Eremin, I.I., Astaf'ev, N.N., Vvedenie v teoriyu lineinogo i vypuklogo programmirovaniya (1975) Introduction to the Theory of Linear and Convex Programming, , Moscow: Fizmatlit; Kumar, V.S., Arya, S., Ramesh, H., Hardness of set cover with intersection 1, in automata, languages and programming (2000) Proc. ICALP-00, 1853, pp. 624-635. , Berlin: Springer; Johnson, D.S., Approximation algorithms for combinatorial problems (1974) J. Comput. Syst. Sci., 9 (3), pp. 256-278
Correspondence Address Khachai, M. Yu.; Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russian Federation
Language of Original Document English
Abbreviated Source Title Autom. Remote Control
Source Scopus