Repository logo
 

Learning parametrised regularisation functions via quotient minimisation

Accepted version
Peer-reviewed

Type

Article

Change log

Authors

Gilboa, Guy 
Schönlieb, Carola‐Bibiane 

Abstract

jats:titleAbstract</jats:title>jats:pWe propose a novel strategy for the computation of adaptive regularisation functions. The general strategy consists of minimising the ratio of a parametrised regularisation function; the numerator contains the regulariser with a desirable training signal as its argument, whereas the denominator contains the same regulariser but with its argument being a training signal one wants to avoid. The rationale behind this is to adapt parametric regularisations to given training data that contain both wanted and unwanted outcomes. We discuss the numerical implementation of this minimisation problem for a specific parametrisation, and present preliminary numerical results which demonstrate that this approach is able to recover total variation as well as second‐order total variation regularisation from suitable training data. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)</jats:p>

Description

Keywords

5003 Philosophy, 40 Engineering, 50 Philosophy and Religious Studies

Journal Title

PAMM

Conference Name

Journal ISSN

1617-7061
1617-7061

Volume Title

16

Publisher

Wiley
Sponsorship
MB and CBS acknowledge support from the EPSRC grant EP/M00483X/1 and the Leverhulme grant ’Breaking the non-convexity barrier’. GG acknowledges support from the Israel Science Foundation (grant No. 718/15) and by the Magnet program of the OCS, Israel Ministry of Economy, in the framework of Omek Consortium.