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Martin Benning (University of Cambridge)
Tuesday 31 October 2017, 12:00-12:50
Nonlinear Eigenanalysis of sparsity-promoting regularisation operators
- đ¤ Speaker: Martin Benning (University of Cambridge)
- đ Date & Time: Tuesday 31 October 2017, 12:00 - 12:50
- đ Venue: Seminar Room 1, Newton Institute
Abstract
In this talk we analyse Eigenfunctions of nonlinear, variational regularisation operators. We show that they are closely related to a generalisation of singular vectors of compact operators, and demonstrate key mathematical properties. We use them to show how a systematic bias of variational regularisation methods can be corrected with the help of iterative regularisation methods, and discuss conditions that guarantee the decomposition of an additive composition of multiple Eigenfunctions. In the last part of the talk, we focus on utilising the concept of nonlinear Eigenanalysis to learn parametrised regularisations that can effectively separate different geometric structures. This is joint work with Joana Sarah Grah, Guy Gilboa, Carola-Bibiane Schönlieb, Marie Foged Schmidt and Martin Burger.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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