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A general model for inverse problems
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Classroom Contents
Infinite-Dimensional Inverse Problems with Finite Measurements
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- 1 Intro
- 2 The effect of instability
- 3 A general model for inverse problems
- 4 Obtaining stability with structured signals
- 5 Lipschitz stability with linear subspaces
- 6 Modeling the finite measurements
- 7 Example the Calderon problem
- 8 Example 2 inverse scattering
- 9 Classical compressed sensing
- 10 Compressed sensing for inverse problems in PDE
- 11 Low-dimensional manifolds
- 12 Holder-Lipschitz stability from an infinite number of measurements
- 13 Discrete and Continuous Generator structure in 1D
- 14 Sufficient conditions for injectivity
- 15 Lipschitz stability with finite measurements: main result
