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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Representer theorems and convex optimization

## Representer theorems and convex optimizationAdd to your list(s) Download to your calendar using vCal - Claire Boyer (Sorbonne Université; ENS - Paris)
- Monday 17 June 2019, 15:40-16:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. ASCW03 - Approximation, sampling, and compression in high dimensional problems We establish a general principle which states that regularizing an inverse problem with a convex function yields solutions which are convex combinations of a small number of atoms. These atoms are identified with the extreme points and elements of the extreme rays of the regularizer level sets. As a side result, we characterize the minimizers of the total gradient variation. As an ongoing work, we will also study the geometry of the total gradient variation ball. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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