Synchronizing Phases: Harmonic Retrieval in Cryo-Electron Microscopy
副标题：
时间：2019-07-01 来源：
题目： Synchronizing Phases: Harmonic Retrieval in Cryo-Electron Microscopy
报告人： Tingran Gao (University of Chicago)
时间地点： 2019.07.03 10:00am N205
摘要： Phase synchronization, or the problem of recovering angles from noisy pairwise relative phase measurements, is among the most prototypical instantiations of synchronization problems. This problem can also be modeled geometrically as inverse problems on complex line bundles. In this talk we investigate a "super-resolution" phenomenon for phase synchronization when multiple irreducible representations of the unitary group U(1) are jointly employed in the reconstruction algorithm; geometrically this amounts to considering an analogy of Fourier transform for functions on a principal bundle through a family of associated vector bundles. We will demonstrate the "unreasonable effectiveness" of the proposed methodology in improving state-of-the-art class averaging results in cryo-electron microscopy image analysis, provide theoretical guarantees, and generalize the framework to synchronization over other compact Lie groups.
