Dr. Anne Wald

Research fellow

Universität des Saarlandes
Fachrichtung Mathematik
Campus, Geb. E1.1, Raum 4.16
D-66123 Saarbrücken

Tel.:  +49 (0)681 302 57432
FAX:   +49 (0)681 302 4435
Email: This email address is being protected from spambots. You need JavaScript enabled to view it.

Consultation hours: Please contact me via eMail.

Research topics

• Nonlinear and time-dependent inverse problems:
  • Parameter identification for partial differential equations
  • Modelling, model reduction and inexact forward operators
• Regularization methods:
  • Sequential subspace optimization
• Applications:
  • Terahertz tomography
  • Magnetic particle imaging (BMBF project MPI²)
  • Dynamic computerized tomography
  • NanoCT and deep learning (BMBF project DELETO - Deep Learning in Tomography)

Lectures

• Winter semester 2017/18 - Parameter identification for PDEs
• Summer semester 2018 - Programmierung für Mathematiker
• Winter semester 2018/19 - Tensor product approximation and inverse problems
• Summer semester 2019 - Numerical Internship in Computerized Tomography
• Winter semester 2019/20 - Seminar: Machine Learning in Inverse Problems

Teaching assistance

• Summer semester 2014 - Praktische Mathematik
• Winter semester 2014/15 - Höhere Mathematik für Ingenieure 1
• Summer semester 2016 - Lineare und nichtlineare Optimierung
• Winter semester 2016/17 - Seminar "Modellierung und inverse Probleme in der Systembiologie"
• Summer semester 2017 - Programmierung für Mathematiker

Publications

• A. Wald and T. Schuster, Sequential subspace optimization for nonlinear inverse problems, Journal of Inverse and Ill-posed Problems, 2016
• V. Wollrab, R. Thiagarajan, A. Wald, K. Kruse, D. Riveline, Still and rotating myosin clusters determine cytokinetic ring constriction, Nature communications, 2016
• A. Wald and T. Schuster, Tomographic terahertz imaging using sequential subspace optimization, In New Trends in Parameter Identification for Mathematical Models, B. Hofmann, A. Leitao, J. Zubelli (Eds.), Birkhäuser / Springer, 2018
• A. Wald, A fast subspace optimization method for nonlinear inverse problems in Banach spaces with an application in parameter identification, Inverse Problems 34 (2018) 085008
• B. Kaltenbacher, T. T. N. Nguyen, A. Wald, T. Schuster, Parameter identification for the Landau-Lifshitz-Gilbert equation in Magnetic Particle Imaging, to appear in: Time-dependent Problems in Imaging and Parameter Identification, B. Kaltenbacher, T. Schuster, A. Wald (Eds.), arXiv:1909.02912 (2019)
• R. Klein, T. Schuster, A. Wald, Sequential subspace optimization for recovering stored energy functions in hyperelastic materials from time-dependent data, to appear in: Time-dependent Problems in Imaging and Parameter Identification, B. Kaltenbacher, T. Schuster, A. Wald (Eds.), arXiv:1911.04855 (2019)
• B. Kaltenbacher, T. Schuster and A. Wald, Time-dependent problems in Imaging and Parameter Identification, Springer, Heidelberg, 2020
• H. Hoffmann and A. Wald, On parameter identification problems for elliptic boundary value problems in divergence form, Part I: An abstract framework, arXiv: 2002.05009 (Preprint, 2020)
• S. E. Blanke, B. N. Hahn, A. Wald, Inverse Problems with inexact forward operator: iterative regularization and application in dynamic imaging. Inverse Problems, to appear, 2020

Talks

• Solving nonlinear inverse problems by sequential subspace optimization with an application to THz tomography, Chemnitz Symposium on Inverse Problems, Chemnitz, 2016
• Sequential subspace optimization for nonlinear inverse problems with an application in terahertz tomography, Workshop Geomathematics Meets Medical Imaging, Speyer, 2017
• Sequential subspace optimization for nonlinear inverse problems with an application in terahertz tomography, Inverse Days 2017, Oulu, Finland
• Sequential subspace optimization for nonlinear inverse problems with applications in parameter identification, Inverse Problems: Modelling and Simulation, Malta, 2018
• Modeling the system function in magnetic particle imaging, SIAM conference on Imaging Sciences 2018, Bologna, Italy
• Modeling the system function in magnetic particle imaging, IFIP TC7 conference 2018, Essen
• Parameter identification in terahertz tomography and magnetic particle imaging, University of Helsinki, Finland, 2018
• Effiziente Berechnung der Systemfunktion unter Berücksichtigung von Relaxationseffekten, Aschaffenburg, 2018
• Parameter identification in terahertz tomography and magnetic particle imaging, University of Vienna, Austria, 2018
• Inverse problems in magnetic particle imaging, Alpen-Adria-Universität Klagenfurt, Austria, 2018
• Inverse problems in magnetic particle imaging, Inverse Days 2018, Helsinki, Finland
• A fast subspace optimization technique for nonlinear inverse problems and applications, University of Würzburg, 2019
• Terahertz tomography as a parameter identification problem, Workshop on tomographic inverse problems, Oberwolfach 2019
• A fast iterative method for inverse problems with inexact forward operator, Applied Inverse Problems Conference 2019, Grenoble, France
• A fast iterative method for inverse problems with inexact forward operator, Conference on Modern Challenges in Imaging, Boston, USA, 2019
• Parameter identification for the Landau-Lifshitz-Gilbert equation in Magnetic Particle Imaging, ÖMG Conference 2019, Dornbirn, Austria
  
• Time-dependence as modelling inexactness in inverse problems: regularization and application in dynamic computerized tomography, Virtual SIAM conference on Imaging Sciences, Toronto, 2020

 Organization of minisymposia

• SIAM conference on Imaging Sciences 2018, Bologna: Time-dependent problems in imaging together with Thomas Schuster
• IFIP TC7 conference 2018, Essen: Time-dependent inverse problems together with Barbara Kaltenbacher
• ICIAM 2019, Valencia: Parameter identification problems in magnetic particle imaging together with Tobias Kluth
• Virtual SIAM conference on Imaging Sciences 2020, Toronto: Time-dependent inverse problems in Imaging together with Bernadette Hahn and Tobias Kluth