Problem Sets

[1] Matrix operations and decompositions // Aster App. A [math] pdf

[2] Introduction to inverse problems // Aster Ch. 1 [ch1] pdf

[3] Probabilistic inversion for earthquake epicenter // Tarantola 7.1, Ch. 2 [epi] pdf

[4] Covariance functions and Gaussian random fields // Tarantola 5.1-5.3, Aster App. B [cov] pdf

[5A] 2D Gaussian random fields [cov2D] pdf

[5B] Iterative methods with generalized least squares // Tarantola 6.22, Ch. 3 [iter] pdf

[6] Statistical aspects of least squares // Aster Ch. 2 [ch2] pdf

[7] Truncated singular value decomposition // Aster Ch. 3 [grav] pdf

[8] Estimation of magmatic source for InSAR interferogram // remote sensing papers [mogi] pdf

Labs

Fitting a line to scattered data [linefit] pdf

The rejection method of generating samples (associated with PS#3) [sampling] pdf

Samples of a covariance matrix [cov] pdf

Iterative Newton method [newton] pdf

Earthquake location with generalized least squares [iter] pdf

Aster Chapters 2 and 3 examples [ch2] pdf

Geometry of singular value decomposition [svdgeometry] pdf

SVD approach to ballistic problem [svdballistic] pdf

Singular value spectra [svdspectrum] pdf

Estimation of magmatic source for InSAR interferogram [mogi] pdf

Principal component analysis [pca] pdf