Shor, Naum Zuselevich
Overview
Works:  29 works in 77 publications in 2 languages and 1,244 library holdings 

Roles:  Author, Honoree, Thesis advisor 
Publication Timeline
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Most widely held works by
Naum Zuselevich Shor
Optimal control of distributed systems with conjugation conditions by
Ivan Vasilʹevich Sergienko(
Book
)
15 editions published in 2005 in English and Undetermined and held by 105 WorldCat member libraries worldwide
"This work develops the methodology according to which classes of discontinuous functions are used in order to investigate a correctness of boundaryvalue and initial boundaryvalue problems for the cases with elliptic, parabolic, pseudoparabolic, hyperbolic, and pseudohyperbolic equations and with elasticity theory equation systems that have nonsmooth solutions, including discontinuous solutions." "This book is intended for specialists in applied mathematics, scientific researchers, engineers, and postgraduate students interested in optimal control of heterogeneous distributed systems with states described by boundaryvalue and initial boundaryvalue problems."Résumé de l'éditeur
15 editions published in 2005 in English and Undetermined and held by 105 WorldCat member libraries worldwide
"This work develops the methodology according to which classes of discontinuous functions are used in order to investigate a correctness of boundaryvalue and initial boundaryvalue problems for the cases with elliptic, parabolic, pseudoparabolic, hyperbolic, and pseudohyperbolic equations and with elasticity theory equation systems that have nonsmooth solutions, including discontinuous solutions." "This book is intended for specialists in applied mathematics, scientific researchers, engineers, and postgraduate students interested in optimal control of heterogeneous distributed systems with states described by boundaryvalue and initial boundaryvalue problems."Résumé de l'éditeur
Optimizat︠s︡ionnye zadachi proizvodstvennotransportnogo planirovanii︠a︡ : modeli, metody, algoritmy by
V. S Mikhalevich(
Book
)
5 editions published in 1986 in Russian and held by 21 WorldCat member libraries worldwide
5 editions published in 1986 in Russian and held by 21 WorldCat member libraries worldwide
Algebraicheskiĭ podkhod k probleme raskraski ploskikh grafov by
G. A Donet︠s︡(
Book
)
3 editions published in 1982 in Russian and held by 11 WorldCat member libraries worldwide
3 editions published in 1982 in Russian and held by 11 WorldCat member libraries worldwide
Algebraičeskij podchod k probleme raskraski ploskich grafov by
Georgij Afanasʹevič Donec(
Book
)
3 editions published in 1982 in Russian and Undetermined and held by 7 WorldCat member libraries worldwide
3 editions published in 1982 in Russian and Undetermined and held by 7 WorldCat member libraries worldwide
Nondifferentiable optimization and polynomial problems by
Naum Zuselevich Shor(
Book
)
1 edition published in 1998 in English and held by 5 WorldCat member libraries worldwide
The book is devoted to investigation of polynomial optimization problems, including Boolean problems which are the most important part of mathematical programming. It is shown that the methods of nondifferentiable optimization can be used for finding solutions of many classes of polynomial problems and for obtaining good dual estimates for optimal objective value in these problems
1 edition published in 1998 in English and held by 5 WorldCat member libraries worldwide
The book is devoted to investigation of polynomial optimization problems, including Boolean problems which are the most important part of mathematical programming. It is shown that the methods of nondifferentiable optimization can be used for finding solutions of many classes of polynomial problems and for obtaining good dual estimates for optimal objective value in these problems
Metody minimizacii nedifferenciruemyh funkcij i ih priloženija by
Naum Zuselevich Shor(
Book
)
4 editions published between 1979 and 1985 in Russian and English and held by 4 WorldCat member libraries worldwide
4 editions published between 1979 and 1985 in Russian and English and held by 4 WorldCat member libraries worldwide
Matematicheskoe modelirovanie narodnokhozi︠a︡ĭstvennykh zadach : sbornik nauchnykh trudov(
Book
)
2 editions published in 1983 in Russian and held by 3 WorldCat member libraries worldwide
2 editions published in 1983 in Russian and held by 3 WorldCat member libraries worldwide
Dekompozit︠s︡ionnye metody v drobnolineĭnom programmirovanii by
Naum Zuselevich Shor(
Book
)
1 edition published in 1989 in Russian and held by 3 WorldCat member libraries worldwide
1 edition published in 1989 in Russian and held by 3 WorldCat member libraries worldwide
Dekompozicionnye metody v drobnolinejnom programmirovanii by
Naum Zuselevich Shor(
Book
)
2 editions published in 1989 in Russian and held by 3 WorldCat member libraries worldwide
2 editions published in 1989 in Russian and held by 3 WorldCat member libraries worldwide
Teorija optimalʹnych rešenij : sbornik naučnych trudov(
Book
)
3 editions published between 2000 and 2001 in Russian and held by 3 WorldCat member libraries worldwide
3 editions published between 2000 and 2001 in Russian and held by 3 WorldCat member libraries worldwide
Matematicheskoe modelirovanie i primenenie ĖVM v ėkonomicheskikh issledovanii︠a︡kh : sbornik nauchnykh trudov(
Book
)
2 editions published in 1982 in Russian and held by 3 WorldCat member libraries worldwide
2 editions published in 1982 in Russian and held by 3 WorldCat member libraries worldwide
Teorii︠a︡ optimalʹnykh resheniĭ : sbornik nauchnykh trudov(
Book
)
1 edition published in 2000 in Russian and held by 2 WorldCat member libraries worldwide
1 edition published in 2000 in Russian and held by 2 WorldCat member libraries worldwide
Kvadratichnye ėkstremalʹnye zadachi i nedifferent︠s︡iruemai︠a︡ optimizat︠s︡ii︠a︡ by
Naum Zuselevich Shor(
Book
)
1 edition published in 1989 in Russian and held by 2 WorldCat member libraries worldwide
1 edition published in 1989 in Russian and held by 2 WorldCat member libraries worldwide
Special issue: Dedicated to Professor Naum Z. Shor on his 65th birthday(
Book
)
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
Matematičeskoe Modelirovanie narodnochozjajstvennych zadač(
Book
)
1 edition published in 1983 in Undetermined and held by 1 WorldCat member library worldwide
1 edition published in 1983 in Undetermined and held by 1 WorldCat member library worldwide
Matematičeskoe Modelirovanie i primenenie °EVM v °ekonomičeskich issledovanijach(
Book
)
1 edition published in 1982 in Undetermined and held by 1 WorldCat member library worldwide
1 edition published in 1982 in Undetermined and held by 1 WorldCat member library worldwide
Kvadratičnye èkstremal'nye zadači i nedifferenciruemaâ optimizaciâ by
Naum Zuselevich Shor(
Book
)
1 edition published in 1989 in Russian and held by 1 WorldCat member library worldwide
1 edition published in 1989 in Russian and held by 1 WorldCat member library worldwide
Generalized gradient methods of nondifferentiable optimization employing space dilatation operations by
Naum Zuselevich Shor(
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
Méthodes géométriques pour la mémoire et l'apprentissage by
Dmytro Novytskyy(
Book
)
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
This thesis is devoted to geometric methods in optimization, learning and neural networks. In many problems of (supervised and unsupervised) learning, pattern recognition, and clustering there is a need to take into account the internal (intrinsic) structure of the underlying space, which is not necessary Euclidean. For Riemannian manifolds we construct computational algorithms for Newton method, conjugategradient methods, and some nonsmooth optimization methods like the ralgorithm. For this purpose we develop methods for geodesic calculation in submanifolds based on Hamilton equations and symplectic integration. Then we construct a new type of neural associative memory capable of unsupervised learning and clustering. Its learning is based on generalized averaging over Grassmann manifolds. Further extension of this memory involves implicit space transformation and kernel machines. Also we consider geometric algorithms for signal processing and adaptive filtering. Proposed methods are tested for academic examples as well as reallife problems of image recognition and signal processing. Application of proposed neural networks is demonstrated for a complete reallife project of chemical image recognition (electronic nose)
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
This thesis is devoted to geometric methods in optimization, learning and neural networks. In many problems of (supervised and unsupervised) learning, pattern recognition, and clustering there is a need to take into account the internal (intrinsic) structure of the underlying space, which is not necessary Euclidean. For Riemannian manifolds we construct computational algorithms for Newton method, conjugategradient methods, and some nonsmooth optimization methods like the ralgorithm. For this purpose we develop methods for geodesic calculation in submanifolds based on Hamilton equations and symplectic integration. Then we construct a new type of neural associative memory capable of unsupervised learning and clustering. Its learning is based on generalized averaging over Grassmann manifolds. Further extension of this memory involves implicit space transformation and kernel machines. Also we consider geometric algorithms for signal processing and adaptive filtering. Proposed methods are tested for academic examples as well as reallife problems of image recognition and signal processing. Application of proposed neural networks is demonstrated for a complete reallife project of chemical image recognition (electronic nose)
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Related Identities
 Sergienko, Ivan Vasilʹevich Author
 Deĭneka, V. S. (Vasiliĭ Stepanovich)
 Ruszczyński, Andrzej Editor
 Mikhalevich, Vladimir Sergeevich Author
 Trubin, V. A. (Vladimir Alekseevich)
 Kiwiel, Krzysztof C. Editor
 Donet︠s︡, G. A. (Georgiĭ Afanasʹevich) Author
 Donec, Georgij Afanas'evič Author
 Institut kibernetiki im. V.M. Glushkova
 Instytut kibernetyky imeny V.M. Hlushkova
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Associated Subjects
Combinatorial analysis Differential equations, Partial Distributed operating systems (Computers) Distributed parameter systems Economic history Economic policyMathematical models EconomicsMathematical models Electronic data processing Engineering Engineering mathematics Extremal problems (Mathematics) Linear programming Mapcoloring problem Mathematical optimization Mathematics Nondifferentiable functions Nonlinear programming Operating systems (Computers) Operations research Polynomials Soviet Union TransportationPlanningMathematical models
Alternative Names
Chor Naoum Zouselevitch
Naum Schor
Naum Schor mathématicien russe
Naum Schor Russisch wiskundige (19372006)
Naum Schor sowjetischukrainischer Mathematiker
Naum Z. Shor matemático ruso
Naum Z. Shor Russian mathematician
Naum Z. Shor Soviet mathematiican
Shor, N.Z.
Shor, N. Z. (Naum Zuselevich)
Shor, Naum Z.
Shor, Naum Zuselevič
Shor Naum Zuselevich
Šor, N. Z.
Шор, Наум Зуселевич.
ナウム・Z・ショール
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