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Dynamic Emission Tomography— Regularization and Inversion
Dynamic Emission Tomography Regularization Inversion
2015/7/10
The problem of emission tomography, inverting the attenuated Radon transform, is moderately ill-posed if the unknown emission source is static. Here we consider the case where the emission source is d...
Segmentation of ARX-Models Using Sum-of-Norms Regularization
Segmentation Regularization ARX-models
2015/7/9
Segmentation of time-varying systems and signals into models whose parameters are piecewise constant in time is an important and well studied problem. It is here formulated as a least-squares problem ...
Smoothed state estimates under abrupt changes using sum-of-norms regularization
Smoothing Sparsity Regularization Change detection
2015/7/9
The presence of abrupt changes, such as impulsive and load disturbances, commonly occur in applications, but make the state estimation problem considerably more difficult than in the standard setting ...
Cholesky-based Methods for Sparse Least Squares: The Beneˉts of Regularization
Sparse Least Squares Regularization
2015/7/3
We study the use of black-box LDL
T
factorizations for solving the augmented
systems (KKT systems) associated with least-squares problems and barrier methods
for linear programming (LP). With judi...