WorldCat Identities

Shor, Naum Zuselevich

Overview
Works: 26 works in 60 publications in 3 languages and 510 library holdings
Roles: Author, Honoree
Classifications: QA402.5, 519
Publication Timeline
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Most widely held works by Naum Zuselevich Shor
Minimization methods for non-differentiable functions by Naum Zuselevich Shor( Book )

21 editions published between 1979 and 2012 in 4 languages and held by 379 WorldCat member libraries worldwide

In recent years much attention has been given to the development of auto matic systems of planning, design and control in various branches of the national economy. Quality of decisions is an issue which has come to the forefront, increasing the significance of optimization algorithms in math ematical software packages for al, ltomatic systems of various levels and pur poses. Methods for minimizing functions with discontinuous gradients are gaining in importance and the ~xperts in the computational methods of mathematical programming tend to agree that progress in the development of algorithms for minimizing nonsmooth functions is the key to the con struction of efficient techniques for solving large scale problems. This monograph summarizes to a certain extent fifteen years of the author's work on developing generalized gradient methods for nonsmooth minimization. This work started in the department of economic cybernetics of the Institute of Cybernetics of the Ukrainian Academy of Sciences under the supervision of V.S. Mikhalevich, a member of the Ukrainian Academy of Sciences, in connection with the need for solutions to important, practical problems of optimal planning and design. In Chap. I we describe basic classes of nonsmooth functions that are dif ferentiable almost everywhere, and analyze various ways of defining generalized gradient sets. In Chap. 2 we study in detail various versions of the su bgradient method, show their relation to the methods of Fejer-type approximations and briefly present the fundamentals of e-subgradient methods
Optimizat︠s︡ionnye zadachi proizvodstvenno-transportnogo planirovanii︠a︡ : modeli, metody, algoritmy by V. S Mikhalevich( Book )

5 editions published in 1986 in Russian and held by 21 WorldCat member libraries worldwide

Algebraicheskiĭ podkhod k probleme raskraski ploskikh grafov by Georgij Afanas'evič Donets( Book )

3 editions published in 1982 in Russian and held by 9 WorldCat member libraries worldwide

Algebraiceskij podchod k probleme raskraski ploskich grafov by Georgij Afanas'evič Donec( Book )

3 editions published in 1982 in Russian and held by 7 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

Matematicheskoe modelirovanie narodnokhozi︠a︡ĭstvennykh zadach : sbornik nauchnykh trudov( Book )

2 editions published in 1983 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

Dekompozicionnye metody v drobno-linejnom programmirovanii by Naum Zuselevich Shor( Book )

2 editions published in 1989 in Russian and held by 3 WorldCat member libraries worldwide

Dekompozit︠s︡ionnye metody v drobno-lineĭnom programmirovanii by Naum Zuselevich Shor( Book )

1 edition published in 1989 in Russian and held by 3 WorldCat member libraries worldwide

Minimization methods for non differentiable equations by Naum Zuselevich Shor( Book )

2 editions published in 1985 in English 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

Teorii︠a︡ optimalʹnykh resheniĭ : sbornik nauchnykh trudov( Book )

1 edition published in 2000 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

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

Primenenie ėkonomiko-matematicheskogo modelirovanii︠a︡ v reshenii otdelʹnykh narodnokhozi︠a︡ĭstvennykh zadach( Book )

1 edition published in 1981 in Russian and held by 1 WorldCat member library worldwide

Generalized gradient methods of non-differentiable optimization employing space dilatation operations by Naum Zuselevich Shor( )

in English 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

Matematičeskoe modelirovanie narodnochozjajstvennych zadač : sbornik nauč. trudov( Book )

1 edition published in 1983 in Undetermined 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, conjugate-gradient methods, and some non-smooth optimization methods like the r-algorithm. 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 real-life problems of image recognition and signal processing. Application of proposed neural networks is demonstrated for a complete real-life project of chemical image recognition (electronic nose)
Teorii︠a︡ optimalʹnykh resheniĭ : sbornik nauchnykh trudov( Book )

1 edition published in 2001 in Russian and held by 1 WorldCat member library worldwide

 
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Alternative Names
Chor Naoum Zouselevitch

Naum Schor

Naum Schor Russisch wiskundige (1937-2006)

Naum Schor sowjetisch-ukrainischer Mathematiker

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

Languages
Russian (30)

English (20)

German (1)