Infinite-Dimensional Inverse Problems with Finite Measurements

Infinite-Dimensional Inverse Problems with Finite Measurements

Society for Industrial and Applied Mathematics via YouTube Direct link

Intro

1 of 15

1 of 15

Intro

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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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