Linear Inverse Problems: The Maximum Entropy Connection (Series on Advances in Mathematics for Applied Sciences v. 83)
By: Yurayh Velasquez (author), Henryk Gzyl (author)Mixed Media
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This 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.
A Collection of Linear Inverse Problems; The Basics about Linear Inverse Problems; Regularization in Hilbert Spaces; Maxent and Linear Problems; Finite Dimensional Problems; Numerical Examples; Some Infinite Dimensional Problems; Tomography and Reconstruction from Marginals; Inversion of Laplace Transforms; Maxentropic Characterization of Some Probability Distributions; An Inverse Problem in Astronomy.
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- ID: 9789814338776
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