Nonlinear Eigenanalysis of sparsity-promoting regularisation operators
48 mins 36 secs,
707.76 MB,
MPEG-4 Video
640x360,
29.97 fps,
44100 Hz,
1.94 Mbits/sec
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About this item
| Description: |
Benning, M
Tuesday 31st October 2017 - 12:00 to 12:50 |
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| Created: | 2017-11-03 13:35 |
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| Collection: | Variational methods and effective algorithms for imaging and vision |
| Publisher: | Isaac Newton Institute |
| Copyright: | Benning, M |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| 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. |
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| MPEG-4 Video * | 640x360 | 1.94 Mbits/sec | 707.76 MB | View | Download | |
| WebM | 640x360 | 383.8 kbits/sec | 136.66 MB | View | Download | |
| iPod Video | 480x270 | 522.18 kbits/sec | 185.87 MB | View | Download | |
| MP3 | 44100 Hz | 249.76 kbits/sec | 89.00 MB | Listen | Download | |
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