Deep Learning for PDE-based Inverse Problems

  • Simon Arridge

    University College London, London, UK
  • Peter Maaß

    Universität Bremen, Bremen, Germany
  • Carola-Bibiane Schönlieb

    University of Cambridge, Cambridge, UK
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Abstract

Analysing learned concepts for PDE-based parameter identification problems requires input from different research areas such as inverse problems, partial differential equations, statistics and mathematical foundations of deep learning. This workshop brought together a critical mass of experts in the various field. A thorough mathematical theory for PDE-based inverse problems using learned concepts is within reach in the coming few years and the inspiration of this Oberwolfach meeting will substantially influence this development.

Cite this article

Simon Arridge, Peter Maaß, Carola-Bibiane Schönlieb, Deep Learning for PDE-based Inverse Problems. Oberwolfach Rep. 21 (2024), no. 4, pp. 2805–2900

DOI 10.4171/OWR/2024/48