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