[CSDM] Members' Seminar 2pm today of interest
Avi Wigderson
avi at ias.edu
Mon Feb 4 13:37:44 EST 2019
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Subject: [math-ias] Reminder for today's Members' Seminar
Date: Mon, 4 Feb 2019 10:32:24 -0500
From: Kristina Phillips <kphillips at ias.edu>
To: 'Seminars' <seminars at math.ias.edu>
INSTITUTE FOR ADVANCED STUDY
School of Mathematics
Princeton, NJ 08540
*Members' Seminar*
*Monday, February 4*
To view mathematics in titles and abstracts, please click on the talk's
link.
Topic: The Sample Complexity of Multi-Reference Alignment
Speaker: Philippe Rigollet, Massachusetts Institute of
Technology; Visiting Professor, School of Mathematics
Time/Room: 2:00pm - 3:00pm/Simonyi Hall 101
Abstract Link: http://www.math.ias.edu/seminars/abstract?event=129413
How should one estimate a signal, given only access to noisy versions of
the signal corrupted by unknown cyclic shifts? This simple problem has
surprisingly broad applications, in fields from aircraft radar imaging
to structural biology with the ultimate goal of understanding the sample
complexity of Cryo-EM. We describe how this model can be viewed as a
multivariate Gaussian mixture model whose centers belong to an orbit of
a group of orthogonal transformations. This enables us to derive
matching lower and upper bounds for the optimal rate of statistical
estimation for the underlying signal. These bounds show a striking
dependence on the signal-to-noise ratio of the problem. We also show how
a tensor based method of moments can solve the problem efficiently.
Based on joint work with Afonso Bandeira (NYU), Amelia Perry (MIT), Amit
Singer (Princeton) and Jonathan Weed (MIT).
http://www.math.ias.edu/seminars
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