Parameter Estimation and Inverse Problems

Promotes the fundamental issues associated with parameter fitting and inverse problems, including basic theory, statistical issues, computational issues, and more

Richard C. Aster (Author), Brian Borchers (Author), Clifford H. Thurber (Author)

9780128046517

Paperback, published 23 October 2018

404 pages
23.4 x 19 x 2.6 cm, 0.81 kg

Parameter Estimation and Inverse Problems, Third Edition, is structured around a course at New Mexico Tech and is designed to be accessible to typical graduate students in the physical sciences who do not have an extensive mathematical background. The book is complemented by a companion website that includes MATLAB codes that correspond to examples that are illustrated with simple, easy to follow problems that illuminate the details of particular numerical methods. Updates to the new edition include more discussions of Laplacian smoothing, an expansion of basis function exercises, the addition of stochastic descent, an improved presentation of Fourier methods and exercises, and more.

1. Introduction2. Linear Regression3. Rank Deficiency and Ill-Conditioning4. Tikhonov Regularization5. Discretizing by Basis Functions6. Iterative Methods of Solving Linear Problems7. Additional Regularization Techniques8. Fourier Techniques9. Nonlinear Regression10. Nonlinear Inverse Problems11. Bayesian Methods12 Adjoint Methods

Subject Areas: Geophysics [PHVG]