Windowed Spectral Regularization of Inverse Problems

@article{Chung2011WindowedSR,
  title={Windowed Spectral Regularization of Inverse Problems},
  author={Julianne Chung and Glenn R. Easley and Dianne P. O'Leary},
  journal={SIAM J. Scientific Computing},
  year={2011},
  volume={33},
  pages={3175-3200}
}
Regularization is used in order to obtain a reasonable estimate of the solution to an ill-posed inverse problem. One common form of regularization is to use a filter to reduce the influence of components corresponding to small singular values, perhaps using a Tikhonov least squares formulation. In this work, we break the problem into subproblems with narrower bands of singular values using spectrally defined windows, and we regularize each subproblem individually. We show how to use standard… CONTINUE READING