Parameter Estimation and Inverse Problems
Equilibrium by Entropy Maximisation
Series: International Geophysics; 90;
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Product details:
- Publisher Elsevier Science
- Date of Publication 25 January 2005
- ISBN 9780120656042
- Binding Hardback
- No. of pages320 pages
- Size 234x190 mm
- Weight 820 g
- Language English 0
Categories
Long description:
Parameter Estimation and Inverse Problems primarily serves as a textbook for advanced undergraduate and introductory graduate courses. It promotes a fundamental understanding of parameter estimation and inverse problem philosophy and methodology.
It introduces readers to Classical and Bayesian approaches to linear and nonlinear problems, with particular attention to computational, mathematical, and statistical issues related to their application to geophysical problems. Four appendices review foundational concepts in linear algebra, statistics, vector calculus, and notation. Pedagogy includes hundreds of highlighted equations, examples, and definitions; introductory chapter synopses; end-of-chapter exercises, both programming and theoretical; and suggestions for further reading.
The text is designed to be accessible to graduate students and professionals in physical sciences without an extensive mathematical background.
MoreTable of Contents:
Preface
1. Introduction
2. Linear Regression
3. Discretizing Continuous Inverse Problems
4. Rank Deficiency and Ill-Conditioning
5. Tikhonov Regularization
6. Iterative Methods
7. Other Regularization Techniques
8. Fourier Techniques
9. Nonlinear Regression
10. Nonlinear Inverse Problems
11. Bayesian Methods
Appendix A: Review of Linear Algebra
Appendix B: Review of Probability and Statistics
Appendix C: Glossary of Notation
Bibliography
Index