The group synchronization problem asks to recover group elements, such as 3-D rotations and permutations, on graph nodes from their relative measurements on graph edges. It has critical applications in 3-D reconstruction and many other tasks in data science. It is challenging due to highly corrupted measurements and computational bottlenecks. This talk will demonstrate how to overcome these challenges in a unified framework that applies to all compact groups. The proposed solution is a message passing algorithm that utilizes the cycle consistency of group elements within the graph. The talk will also present several exact recovery guarantees by the proposed method under both adversarial and uniform corruption and demonstrate state-of-the-art accuracy and speed of the proposed method. This new framework may provide a foundation for a next generation of 3-D reconstruction pipeline. The talk will further expand on different developments in 3-D reconstruction of protein molecules via cryo-electron microscopy (cryo-EM). 

3月23日
11:00am - 12:00pm
地點
Room 1104 (near Lift 19)
講者/表演者
Dr. Yunpeng SHI
Princeton University
主辦單位
Department of Mathematics
聯絡方法
付款詳情
對象
Alumni, Faculty and staff, PG students, UG students
語言
英語
其他活動
3月24日
研討會, 演講, 講座
IAS / School of Science Joint Lecture - Pushing the Limit of Nonlinear Vibrational Spectroscopy for Molecular Surfaces/Interfaces Studies
Abstract Surfaces and interfaces are ubiquitous in Nature. Sum-frequency generation vibrational spectroscopy (SFG-VS) is a powerful surface/interface selective and sub-monolayer sensitive spect...
11月22日
研討會, 演講, 講座
IAS / School of Science Joint Lecture - Leveraging Protein Dynamics Memory with Machine Learning to Advance Drug Design: From Antibiotics to Targeted Protein Degradation
Abstract Protein dynamics are fundamental to protein function and encode complex biomolecular mechanisms. Although Markov state models have made it possible to capture long-timescale protein co...