Typal Academy
Numerical Optimization
#1 — Stanley Osher
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#1 — Stanley Osher

Partial Differential Equations and Optimization

Stanley Osher is a mathematician at University of California Los Angeles.

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Show Notes:

  • Here is the original paper on total variation for denoising.

  • Here is a talk from 2003 where Stan describes and shows images from the attack on the truck driver Reginald Denny during the riots in LA (skip to 11:00 for the story).

  • Here is the paper 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 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).

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Typal Academy
Numerical Optimization
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