# Seminars & Colloquia Calendar

## Inverse Problems, Imaging and Tensor Decomposition

#### Joe Kileel, Princeton University

Location: ** Room 705**

Date & time: Monday, 27 January 2020 at 2:00PM - 3:00PM

Abstract:

Perspectives from computational algebra and numerical optimization are

brought to bear on a scientific application and a data science

application. In the first part of the talk, I will discuss

cryo-electron microscopy (cryo-EM), an imaging technique to determine

the 3-D shape of macromolecules from many noisy 2-D projections,

recognized by the 2017 Chemistry Nobel Prize. Mathematically, cryo-EM

presents a rich inverse problem, with unknown orientations, extreme

noise, big data and conformational heterogeneity. In particular, this

motivates a general framework for statistical estimation under compact

group actions, connecting information theory and group invariant

theory. In the second part of the talk, I will discuss tensor rank

decomposition, a higher-order variant of PCA broadly applicable in

data science. A fast algorithm is introduced and analyzed, combining

ideas of Sylvester and the power method.

Chiara Damiolini, Ian Coley and Franco Rota -Charles Weibel Organizer's Page

Brooke Logan

Wujun Zhang Organizer's webpage

P. Gupta, X.Huang and J. Song Organizer's webpage

Swastik Kopparty, Sepehr Assadi Seminar webpage

Jeffry Kahn, Bhargav Narayanan, Jinyoung Park Organizer's webpage

Brooke Ogrodnik, Website

Robert Dougherty-Bliss and Doron Zeilberger --> homepage

Paul Feehan, Daniel Ketover, Natasa Sesum Organizer's webpage

Lev Borisov, Emanuel Diaconescu, Angela Gibney, Nicolas Tarasca, and Chris Woodward Organizer's webpage

Jason Saied Seminar webpage

Brian Pinsky, Rashmika Goswami website

Quentin Dubroff Organizer's webpage

James Holland; Organizer website

Edna Jones Organizer's webpage

Brooke Ogrodnik website

Yanyan Li, Zheng-Chao Han, Jian Song, Natasa Sesum Organizer's Webpage

Organizer: Luochen Zhao

Yanyan Li, Zheng-Chao Han, Natasa Sesum, Jian Song Organizer's Page

Lisa Carbone, Yi-Zhi Huang, James Lepowsky, Siddhartha Sahi Organizer's webpage

Simon Thomas website

Kasper Larsen, Daniel Ocone and Kim Weston Organizer's page

Joel Lebowitz, Michael Kiessling

Yanyan Li, Haim Brezis Organizer's Webpage

Stephen D. Miller, John C. Miller, Alex V. Kontorovich, Alex Walker seminar website

Stephen D. Miller

Brooke Ogrodnik, Website

Organizers: Yanyan Li, Z.C. Han, Jian Song, Natasa Sesum

Yael Davidov Seminar webpage

Kristen Hendricks, Xiaochun Rong, Hongbin Sun, Chenxi Wu Organizer's page

Fioralba Cakoni Seminar webpage

Ebru Toprak, Organizer

- Show events from all categories

## Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

*Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.*