2025: Inverse Problems

The 25th edition of the Geilo Winter School will take place in Geilo, Norway from Sunday January 19 to Friday January 24, 2025. The topic of the school will be inverse problems.

All models are wrong, but some are useful - especially those obtained from inverse modelling. 

Inverse problems involve determining the underlying causes or parameters from observed effects. This is essential for understanding complex systems where direct measurements are either challenging or impossible, like medical imaging, geophysics, astronomy, computer vision, material science, etc.

Join us at the 25th Geilo winter school for a deep dive into recent trends in inverse problems!

Program

Lecturers and lecture abstracts will be announced gradually over the next few weeks - stay tuned!

Machine Learning for Inverse Problems (Alberti)

The focus of this course will be the use of machine learning methods for solving inverse problems. In the first part, we will discuss the standard regularization theory for inverse problems in imaging, together with its limitations. In the second part, we will show how machine learning, and in particular deep learning, can be used to leverage prior information available through data. Possible approaches include end-to-end reconstructions and learned regularization (typically supervised), generative models (unsupervised), and untrained networks as in deep image prior. The theoretical discussions will be complemented by a lab session, mostly focusing on the comparison between traditional and deep learning methods. 

Inverse problems for water waves (Kirkeby)

Abstract coming soon.

Lecturers

Giovanni S. Alberti

Giovanni S. Alberti is a professor in mathematical analysis at the Department of Mathematics of the University of Genoa, and a member of MaLGa, the Machine Learning Genoa Center. He received his PhD at the University of Oxford, and held two post-doctoral positions at the École Normale Supérieure in Paris and at ETH Zürich. His research focuses on partial differential equations, applied harmonic analysis, inverse problems and machine learning. He was the recipient of the Gioacchino Iapichino prize for Mathematical Analysis in 2017, of the Eurasian Association on Inverse Problems Young Scientist Award for distinguished contributions to inverse problems in 2018, and of a ERC Starting Grant 2021.

Adrian Kirkeby

Adrian Kirkeby has a PhD in applied mathematics from NTNU and the Technical University of Denmark with focus on theory and solution methods for inverse problems for problems governed by partial differential equations. He has experience from industry and the government research sector, and currently works as a postdoc at Simula Research Laboratory in Oslo.

Schedule

All lectures will take place at Dr. Holms Hotel in Geilo, Norway. Participants will receive more information by email. Exact times will also appear in the following schedule once the program is completely finalized.

Booking a train/checking the train schedule is done through Vy. The hotel is a walkable distance from the train station in Geilo.

You can subscribe to the above calendar by using this link.

Important Information

See the About page for general information about the winter school.

Costs and registration

There is no registration fee for the winter school, but participants must cover their own travel costs and hotel costs at Dr. Holms. Hotel rates per person:

  • 2 090 NOK/night for single room.
  • 1 670 NOK/night in a double room.

Registration is now open!

Room allocation

The winter school has a limited number of rooms at Dr. Holms which will be reserved on a first come first serve basis. We have in previous years exceeded our room allocation, so please register as early as possible!

Posters

We welcome all posters to be presented, and will make space in the program for a poster session in which participants can present their work to colleagues and others. The aim of the session is to make new contacts and share your research, and it is an informal event. You need to indicate in your registration if you want to present a poster during the poster session. Please limit your poster to A0 in portrait orientation.

Organization

Organizing Committee

 

The organizing committee for the Geilo Winter School consists of

  • Øystein Klemetsdal, Research Scientist (Department of Mathematics and Cybernetics, SINTEF).
  • Torkel Andreas Haufmann, Research Manager (Department of Mathematics and Cybernetics, SINTEF). 

To get in touch with the committee, send an email .