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Journal Articles Journal of Convex Analysis Year : 2021

An Epigraphical Approach to the Representer Theorem

Une approche épigraphique pour le théorème des représentants


Describing the solutions of inverse problems arising in signal or image processing is an important issue both for theoretical and numerical purposes. We propose a principle which describes the solutions to convex variational problems involving a finite number of measurements. We discuss its optimality on various problems concerning the recovery of Radon measures.
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Dates and versions

hal-02424908 , version 1 (30-12-2019)
hal-02424908 , version 2 (03-08-2020)



Vincent Duval. An Epigraphical Approach to the Representer Theorem. Journal of Convex Analysis, 2021, 28 (3). ⟨hal-02424908v2⟩
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