Non UBC
DSpace
Markus Grasmair
2019-12-23T10:25:51Z
2019-06-25T10:43
In this talk we will discuss a non-linear variant of Lavrentiev regularisation, where the sub-differential of the total variation replaces the identity operator as regularisation term. The advantage of this approach over Tikhonov based total variation regularisation is that it avoids the evaluation of the adjoint operator on the data. As a consequence, it can be used, for instance, for the solution of Volterra integral equations of the first kind, where the adjoint would require an integration forward in time, without the need of accessing future data points. We will discuss first the theoretical properties of this method, and then propose a taut-string based numerical method for the solution of one-dimensional problems.
https://circle.library.ubc.ca/rest/handle/2429/72916?expand=metadata
46.0 minutes
video/mp4
Author affiliation: Norwegian University of Science and Technology
Banff (Alta.)
10.14288/1.0387279
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Researcher
BIRS Workshop Lecture Videos (Banff, Alta)
Mathematics
Functional Analysis, Calculus Of Variations And Optimal Control, Optimization, Numerical Analysis
Total variation based Lavrentiev regularisation
Moving Image
http://hdl.handle.net/2429/72916