Deep Neural-network Prior for Orbit Recovery from Method of Moments. (arXiv:2304.14604v2 [stat.ME] UPDATED)

Orbit recovery problems are a class of problems that often arise in practice
and various forms. In these problems, we aim to estimate an unknown function
after being distorted by a group action and observed via a known operator.
Typically, the observations are contaminated with a non-trivial level of noise.
Two particular orbit recovery problems of interest in this paper are
multireference alignment and single-particle cryo-EM modelling. In order to
suppress the noise, we suggest using the method of moments …

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