The paper frames multi-reference alignment and cryo-EM as generalized phase retrieval over compact groups and conjectures a bi-Lipschitz stability condition for recovery from the second moment.
Autocorrelation analysis for cryo-EM with sparsity constraints: improved sample complexity and projection-based algorithms
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The generalized phase retrieval problem over compact groups
The paper frames multi-reference alignment and cryo-EM as generalized phase retrieval over compact groups and conjectures a bi-Lipschitz stability condition for recovery from the second moment.