Professor Deanna Needell discusses her work in compressed sensing, numerical linear algebra, and machine learning, highlighting the connections between linear algebra, optimization, and real-world applications in this interview.
25 Nov 2024
#1 — Stanley Osher
Stanley Osher is a mathematician at University of California Los Angeles.
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Show Notes:
Here is the original paper (https://members.cbio.mines-paristech.fr/~jvert/svn/bibli/local/Rudin1992Nonlinear.pdf) on total variation for denoising.
Here is a talk (https://www.youtube.com/watch?v=bRSpJcPYfLI) from 2003 where Stan describes and shows images from the attack on the truck driver Reginald Denny (https://en.wikipedia.org/wiki/Attack_on_Reginald_Denny) during the riots in LA (skip to 11:00 for the story).
Here is the paper (https://ntrs.nasa.gov/api/citations/19880001113/downloads/19880001113.pdf) on the level set method.
The company Stan cofounded, Luminescent Technologies, Inc, used the level set method for inverse lithography technology.
Here is a paper (https://arxiv.org/pdf/math/0409186) by Candes, Romberg and Tao on compressed sensing, providing rigorous theory for use of the L1 norm.
An example of "thinking continuously rather than discretely" is the analysis of Su, Boyd, and Candes in providing a short and simple proof for Nesterov acceleration in the continuous setting via a continuous ODE (see Theorem 3 in this paper (https://arxiv.org/pdf/1503.01243)).
15 Nov 2024
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