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Staff photo Fredrik Ohlsson

Fredrik Ohlsson

I am an associate professor of mathematics and my research is concerned with developing the mathematical foundations of geometric deep learning.

Research qualifications: Docent
Educational qualifications: Recognised university teacher

Works as

Affiliation
Location
MIT-huset, plan 3, Matematik och matematisk statistik, MIT.D.351 Umeå universitet, 901 87 Umeå

My research is concerned with the mathematical foundations of artificial intelligence, and in particular geometric deep learning. In this field, we use geometry to describe and undestand the fundamental structures and symmetries occuring in machine learning. I lead a research group focused on neural differential equations where dynamical systems are used to describe neural networks in the continuum limit of infinite depth. We develop novel models and use differential geometry to analyse their properties and dynamics.

Journal of machine learning research, Microtome Publishing 2025, Vol. 26
Andersdotter, Emma; Persson, Daniel; Ohlsson, Fredrik
Transactions on Machine Learning Research
Nordenfors, Oskar; Ohlsson, Fredrik; Flinth, Axel
2024 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR), IEEE Computer Society 2024 : 6067-6077
Carlsson, Oscar; Gerken, Jan E.; Linander, Hampus; et al.
Physica D: Non-linear phenomena, Elsevier 2024, Vol. 461
Ohlsson, Fredrik; Borgqvist, Johannes G.; Baker, Ruth E.
Physica D: Non-linear phenomena, Elsevier 2023, Vol. 454
Borgqvist, Johannes G.; Ohlsson, Fredrik; Baker, Ruth E.
Artificial Intelligence Review, Springer Nature 2023, Vol. 56, (12) : 14605-14662
Gerken, Jan E.; Aronsson, Jimmy; Carlsson, Oscar; et al.
Applied Sciences, MDPI 2022, Vol. 12, (19)
Bjurström, Johan; Ohlsson, Fredrik; Rusu, Cristina; et al.
Energy Conversion and Management, Elsevier 2022, Vol. 259
Bjurström, Johan; Ohlsson, Fredrik; Vikerfors, Andreas; et al.
Proceedings of Machine Learning Research: International Conference on Machine Learning, 17-23 July 2022, Baltimore, Maryland, USA : 7404-7421
Gerken, Jan; Carlsson, Oscar; Linander, Hampus; et al.
Journal of Rehabilitation Medicine, Foundation for Rehabilitation Information 2021, Vol. 53, (6)
Andersson, Sofi A.; Danielsson, Anna; Ohlsson, Fredrik; et al.
International Journal of Energy and Environmental Engineering, Springer 2021, Vol. 12, (4) : 725-738
Ohlsson, Fredrik; Johannisson, Pontus; Rusu, Cristina

Research groups

Members
Geometry
Members
Group theory

Research projects

1 January 2026 until 31 December 2029

I am subject coordinator and teach mathematics at the Science and Technology Foundation Year Programme. In addition, I teach various introductory courses in mathematics, supervise students in bachelor’s and master’s thesis projects, and teach doctoral-level courses in mathematics related to my research.