Abstract Number:
3814
Submission Type:
Contributed Abstract
Contributed Abstract Type:
Paper
Participants:
Sheng Xu (1), Zhou Fan (2), Tianhao Wang (3), Roy Lederman (4), Yi Sun (5)
Institutions:
(1) Princeton University, N/A, (2) N/A, N/A, (3) Yale University, N/A, (4) Yale University, New Haven, CT, (5) The University of Chicago, Chicago, IL
Co-Author(s):
Yi Sun
The University of Chicago
First Author:
Presenting Author:
Abstract Text:
Motivated by applications to single-particle cryo-electron microscopy (cryo-EM), we study a problem of group orbit estimation where samples of an unknown signal are observed under uniform random rotations from a rotational group. In high-noise regime, we describe a stratification of the Fisher information eigenvalues according to transcendence degrees in the algebra of group invariants. We relate the critical points of the log-likelihood optimization landscape to those of a sequence of moment matching problems. Some examples including a simplified model of cryo-EM will be discussed.
Keywords:
Maximum Likelihood Estimation|Group Orbit Estimation|Fisher Information|Optimization Landscape|Moment Matching|Cryo-Electron Microscopy
Sponsors:
IMS
Tracks:
Statistical Theory
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