Unbiasing Procedures for Scale-Invariant Multi-Reference Alignment - IPAM at UCLA

Unbiasing Procedures for Scale-Invariant Multi-Reference Alignment - IPAM at UCLA

Institute for Pure & Applied Mathematics (IPAM) via YouTube Direct link

Power Spectrum

28 of 32

28 of 32

Power Spectrum

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Unbiasing Procedures for Scale-Invariant Multi-Reference Alignment - IPAM at UCLA

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  1. 1 Introduction
  2. 2 Outline
  3. 3 Introduction to cryoelectron microscopy
  4. 4 Challenges of cryoelectron microscopy
  5. 5 Orientation of frozen molecules
  6. 6 Deformations of molecules
  7. 7 Challenges of multireference alignment
  8. 8 Onedimensional multireference alignment model
  9. 9 Other sources of noise
  10. 10 Scaling the translation
  11. 11 Rotations
  12. 12 Why consider this model
  13. 13 Classic MRA
  14. 14 General MRA
  15. 15 Wavelet Transform
  16. 16 Wavelet Invariant
  17. 17 Translation Invariant
  18. 18 Results
  19. 19 Observations
  20. 20 Order K Wavelet Variant estimator
  21. 21 Air Decay
  22. 22 Pros and Cons
  23. 23 Infinite Sample Limit
  24. 24 Key Point
  25. 25 Signal Recovery
  26. 26 Error Decay
  27. 27 Full Signal Recovery
  28. 28 Power Spectrum
  29. 29 Key Observation
  30. 30 Inversion
  31. 31 Future questions
  32. 32 Learning the dilation distribution

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