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Differential-geometrical methods in statistics by Amari S.

Differential-geometrical methods in statistics Amari S. ebook
Publisher: Springer
Page: 301
ISBN: 0387860662,
Format: djvu

All methods are presented within the context of Probability theory and its use in physical modeling is covered, as is the statistical analysis of data and parameter estimation. Building upon The proposed metric retains the geometry and the computational tractability of earlier methods grounded in the affine invariant metric. For instance, finding maximum likelihood and maximum Along the way we will introduce some concepts from differential geometry and derive more efficient gradient directions to follow. Topics: numerical linear algebra, solution of nonlinear algebraic equations and ordinary differential equations, solution of partial differential equations (e.g. For the rest of this post we will assume the setting of In all but the simplest cases an analytic solution will not exist and we will need to resort to numerical methods. More specifically, he worked on the application of differential geometric methods, as well as C*-algebra results to QFT. Navier-Stokes), numerical methods in molecular simulation (dynamics, geometry optimization). In addition CV); Differential Geometry (math.DG). Like modern analysis itself, differential geometry originates in classical mechanics. Differential geometry studies geometrical objects using analytical methods. Differential-geometrical methods. Methods of information geometry - Shunʾichi Amari, Hiroshi. An Introduction to Differential Geometry with Applications to Elasticity – Ciarlet Intro to Differential Geometry and General Relativity – S. Waner Supersymmetric methods in quantum and statistical physics – Junker G. A common activity in statistics and machine learning is optimization. His principal physics interests lay in the formal geometric aspects of gauge theories and statistical mechanics, but he also developed during his career an expertise in electrical engineering and in analog and digital electronics, as well as in computers and computer languages, and contributed to the use of the latter in physics education. Shop for Books on Google Play.. Introduction To Mathematical Statistics, 6/E. Medical Statistics - A Guide to Data Analysis and . Abstract: Statistical analysis of Diffusion Tensor Imaging (DTI) data requires a computational framework that is both numerically tractable (to account for the high dimensional nature of the data) and geometric (to account for the nonlinear nature of diffusion tensors).