Linear inverse problems : the maximum entropy connection

Author(s)

Bibliographic Information

Linear inverse problems : the maximum entropy connection

Henryk Gzyl, Yurayh Velásquez

(Series on advances in mathematics for applied sciences, v. 83)

World Scientific, c2011

Available at  / 4 libraries

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Note

Includes bibliographical references and index

Some copies without CD-ROM (available in online version on the publisher's website)

Description and Table of Contents

Description

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

  • 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.

by "Nielsen BookData"

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