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Differential-geometrical methods in statistics Amari S.
Publisher: Springer

It can serve as a graduate-level textbook. Transcendental methods, topology of algebraic varieties. Günther, Presymplectic manifolds and the quantization of relativistic particles, Salamanca 1979, Proceedings, Differential Geometrical Methods In Mathematical Physics, 383-400 (1979). Non-linear Systems and Non-Linear Automatic Control Sliding Mode Control Differential Geometry methods in non-linear control. High-dimensional data analysis. Abelian varieties and p-divisible groups. It places careful emphasis on both the numerical formulation of the algorithm and its differential geometric abstraction--illustrating how good algorithms draw equally from the insights of differential geometry, optimization, and numerical analysis. This book offers techniques with broad applications in linear algebra, signal processing, data mining, computer vision, and statistical analysis. General; Spin ℂ -Quantization; Examples; Relation to other formalisms; Geometric BRST quantization; Supergeometric version; Of presymplectic manifolds; In higher differential geometry .. Large deviation theory, probability theory, Brownian motions, statistical mechanics, gradient models, multiscale systems Symplectic geometry; geometrical methods of quantisation; differential geometry; Lie groups. ISBN 0-8218-0162-7; A.V.Bolsinov and A.T. Waner Introduction Supersymmetric methods in quantum and statistical physics - Junker G. Random matrices and free probability. An Introduction to Differential Geometry with Applications to Elasticity - Ciarlet Continuum Intro to Differential Geometry and General Relativity - S. Complex differential geometry, Kahler manifolds and Hodge theory. Fomenko Differential Geometry and Topology Plenum Publishing Corporation. Relations with Interacting particle systems. Greek and Bible History»,— USA, Lewiston, Queenston, Lampeter: The Edwin Mellen Press, (Scholary Monographs in the Russian Language), 1999; Fomenko A.T. Fomenko : Integrable Hamiltonian Systems: Geometry, Topology, Classification (Hardcover), ISBN 0-415-29805-9; A.T.