Linear Inverse Problems The Maximum Entropy Connection 1st Edition by Henryk Gzyl, Yurayh Velásquez – Ebook PDF Instant Download/Delivery: 981433877X, 9789814338776
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Product details:
ISBN 10: 981433877X
ISBN 13: 9789814338776
Author: Henryk Gzyl, Yurayh Velásquez
The book describes a useful tool for solving linear inverse problems subject to convex constraints. The method of maximum entropy in the mean automatically takes care of the constraints. It consists of a technique for transforming a large dimensional inverse problem into a small dimensional non-linear variational problem.A variety of mathematical aspects of the maximum entropy method are explored as well.
Table of contents:
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Introduction
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A collection of linear inverse problems
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The basics about linear inverse problems
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Regularization in Hilbert spaces: Deterministic and stochastic approaches
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Maxentropic approach to linear inverse problems
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Finite dimensional problems
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Some simple numerical examples and moment problems
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Some infinite dimensional problems
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Tomography, reconstruction from marginals and transportation problems
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Numerical inversion of Laplace transforms
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Maxentropic characterization of probability distributions
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Is an image worth a thousand words?
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Tags: Henryk Gzyl, Yurayh Velasquez, Linear Inverse Problems, Maximum Entropy Connection


