Infinite-Dimensional Inverse Problems with Finite Measurements

Infinite-Dimensional Inverse Problems with Finite Measurements

Society for Industrial and Applied Mathematics via YouTube Direct link

Discrete and Continuous Generator structure in 1D

13 of 15

13 of 15

Discrete and Continuous Generator structure in 1D

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Infinite-Dimensional Inverse Problems with Finite Measurements

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

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