Linear inverse problems : the maximum entropy connection
著者
書誌事項
Linear inverse problems : the maximum entropy connection
（Series on advances in mathematics for applied sciences, v. 83）
World Scientific, c2011
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注記
Includes bibliographical references and index
Some copies without CD-ROM (available in online version on the publisher's website)
内容説明・目次
内容説明
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.
目次
- 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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