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UID:026d8331d3e8811cf78c9dddb5965a5f
CATEGORIES:Special Colloquium
CREATED:20221207T161333
SUMMARY:Mathematical and Algorithmic Problems in 3-D Reconstruction: Robustness, Computational Bottlenecks and Solutions
DESCRIPTION:Abstract: The group synchronization problem asks to recover group elements,
  such as 3D rotations and permutations, on graph nodes from their relative 
 measurements on graph edges. It has critical applications in 3-D reconstruc
 tion and many other tasks in data science. It is challenging due to highly 
 corrupted measurements and computational bottlenecks. This talk will demons
 trate 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. Th
 e 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 m
 ay provide a foundation for a next generation of 3-D reconstruction pipelin
 e. The talk will further expand on different developments in 3-D reconstruc
 tion of protein molecules via cryo-electron microscopy (cryo-EM).\n
X-ALT-DESC;FMTTYPE=text/html:<p>Abstract: The group synchronization problem asks to recover group elemen
 ts, such as 3D rotations and permutations, on graph nodes from their relati
 ve measurements on graph edges. It has critical applications in 3-D reconst
 ruction and many other tasks in data science. It is challenging due to high
 ly corrupted measurements and computational bottlenecks. This talk will dem
 onstrate how to overcome these challenges in a unified framework that appli
 es to all compact groups. The proposed solution is a message passing algori
 thm that utilizes the cycle consistency of group elements within the graph.
  The talk&nbsp; will also present several exact recovery guarantees by the 
 proposed method under both adversarial and uniform corruption and demonstra
 te state-of-the-art accuracy and speed of the proposed method. This new fra
 mework may provide a foundation for a next generation of 3-D reconstruction
  pipeline. The talk will further expand on different developments in 3-D re
 construction of protein molecules via cryo-electron microscopy (cryo-EM).</
 p>
CONTACT:Yunpeng Shi - Princeton University
DTSTAMP:20260827T154451
DTSTART;TZID=America/New_York:20221214T120000
DTEND;TZID=America/New_York:20221214T130000
SEQUENCE:0
TRANSP:OPAQUE
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