On the Unreasonable Effectiveness of Compressive Imaging - Ben Adcock, Simon Fraser University

On the Unreasonable Effectiveness of Compressive Imaging - Ben Adcock, Simon Fraser University

Alan Turing Institute via YouTube Direct link

Optimal encoder-decoder pairs

13 of 18

13 of 18

Optimal encoder-decoder pairs

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On the Unreasonable Effectiveness of Compressive Imaging - Ben Adcock, Simon Fraser University

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  1. 1 Main collaborators
  2. 2 Compressed sensing and imaging
  3. 3 Impact of compressive imaging
  4. 4 Compressed sensing theory
  5. 5 Matrices satisfying the RIP
  6. 6 Second paradox: the inverse square law is suboptimal
  7. 7 Which patterns are used in practice?
  8. 8 The binary world
  9. 9 Remainder of the talk
  10. 10 Setup
  11. 11 Fourier measurements: ID case
  12. 12 dD case: Dyadic Isotropic Sampling (DIS)
  13. 13 Optimal encoder-decoder pairs
  14. 14 Near-optimal Fourier encoder-decoders
  15. 15 Remarks
  16. 16 Idea behind the optimal strategy
  17. 17 Idea behind the Fourier strategy
  18. 18 Four recommendations for sampling strategy design

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