COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Geometric Analysis and Partial Differential Equations seminar > A gradient flow approach to quantization of measures

## A gradient flow approach to quantization of measuresAdd to your list(s) Download to your calendar using vCal - Mikaela Iacobelli (DPMMS)
- Monday 19 October 2015, 15:00-16:00
- CMS, MR13.
If you have a question about this talk, please contact Harsha Hutridurga. The problem of quantization of a $d$-dimension probability distribution by discrete probabilities with a given number of points can be stated as follows: Given a probability density $\rho$, approximate it in the Wasserstein metric by a convex combination of a finite number $N$ of Dirac masses. In a recent paper we studied a gradient flow approach to this problem in one dimension. By embedding the problem in $L^2$, we find a continuous version of it that corresponds to the limit as the number of particles tends to infinity. Under some suitable regularity assumptions on the density, we prove uniform stability and quantitative convergence result for the discrete and continuous dynamics. This talk is part of the Geometric Analysis and Partial Differential Equations seminar series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- CMS, MR13
- DPMMS Lists
- DPMMS Pure Maths Seminar
- DPMMS info aggregator
- DPMMS lists
- Geometric Analysis and Partial Differential Equations seminar
- Interested Talks
- My seminars
- School of Physical Sciences
- bld31
Note that ex-directory lists are not shown. |
## Other listsKettle's Yard Lunchtime Talks New Hall Art Collection University of Cambridge Kendo Society## Other talksPoland, Europe, Freedom: A Personal Reflection on the Last 40 Years Panel comparisons: Challenor, Ginsbourger, Nobile, Teckentrup and Beck Atmospheric Structure Revealed by Refraction of Routine Radio Transmissions from Civil Aircraft. Introduction to early detection and tumour development Paracelsus' Chickens - Strange Tales from the History of Chemistry 'Gene regulation in the innate and adaptive immune systems' |