Here is the latest snapshot of the book:  main.pdf

Here is a link to Per Christian Hansen's Matlab regularization package

Link to Kasper Van Wijk's page containing the Matlab code for the VRP problem.
 
 

• an expanded treatment of frequentist methods of inference (click here for a tutorial with Luis Tenorio to appear in Geophysics).
• a discussion of imaging and migration versus inversion ( click here for a paper on this subject to appear next year.
• all new exercises and demos in Matlab. During the first class we will go over a toy tomography problem.

Chapters 1 - 12:  1.5 Mb gzipped postscript.  10/20/98.  This include lots of recent bug fixes and has the table of contents and bibliography.  Note that this file uncompresses to about 6 Mb of postscript.  On some Unix systems there is a default limit to the size of files you can print.  This can usually be fixed by giving lpr a command line argument, such as -s.  If you run into this problem read the man page for lpr. Of course, you can always use ghostview or gv to print only selected pages. I also fixed the labeling problem with the lemmas in chapter 10.
 
 

• A Mathematica code for doing linear, limited angle tomography via SVD.10/14/98
• Quadratic forms Mathematica notebook.10/14/98
• An Xlisp-Stat package for VSP inversion.  Same idea as the Mathematica code, but written using Luke Tierney's wonderful (and free!) Xlisp-Stat package.  Click here for my Surfer's Guide to Xlisp-Stat and OO programming.
• A Mathematica notebook resolution matrix calculations.
• A Mathematica notebook for the vsp calculation  10/7/98Here is the jacobian
• A Mathematica notebook for the Monte Carlo risk calculation in the MGSS paper.
• A Mathematica notebook implementing the IRLS algorithm.  11/4/98

• Wences Gouveia's package of codes for parallel reflectivity-based Bayesian inversion of elastic seismograms.
• Philip Stark's bounded variable least square code and much more

A new approach to incorporating geologic and geophysical inforamtion into inverse calculations (Geophysical Joural International, 141, 713-723, 2000).   Click here for the postscript.
 

A case study of Bayesian inversion applied to full-waveform seismic data (Journal of Geophysical Research, 103 2759-2779, 1998).   Treats the practical problems of how  compute a priori distributions and data uncertainties for field data.Click here for the postscript.

Comparison of Bayesian methods with Tikhonov regularization.   (Inverse Problems. 13, 323-349, 1997.)  Computes resolution and bias in these two different schemes.  Regularization methods bear a superficial similarity to Bayesian formulae, but the goals and conclusions are completely different.   Click here for the postscript.  Both of these papers were co-written with Wences Gouveia.