Geometry, Algebra and Physics in Deep Neural Networks

The research group on Geometry, Algebra and Physics in Deep Neural Networks (GAPinDNNs) is based at the Department for Mathematical Sciences at Chalmers University of Technology and the University of Gothenburg. Our vision is to develop a mathematical foundation for deep learning which elevates the field into a theoretically well-grounded science.

News

New Preprint on The Geometry of Polynomial Group Convolutional Neural Networks

31 Mar 2026

Daniel Persson, together with collaborators Yacoub Hendi and Magdalena Larfors, have published a new preprint on The Geometry of Polynomial Group Convolutional Neural Networks.

Elias in Boston

16 Jan 2026

Our PhD student Elias will spend the spring in Boston on a WASP-funded research visit, working with Maurice Weiler at MIT and Robin Walters at Northeastern University on equivariant neural scaling laws.

Poster session at NeurIPS 2025

03 Dec 2025

Lots of interesting discussion at the poster session here on the first day of NeurIPS 2025 in San Diego! Hampus Linander presented our paper Learning Chern Numbers of Topological Insulators with Gauge Equivariant Neural Networks by Longde Huang, Oleksandr Balabanov, Hampus Linander, Mats Granath, Daniel Persson and Jan Gerken.

Equivariant Neural Networks

Theory and applications of quivariant neural networks and geometric deep learning

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Spherical Computer Vision

Computer vision models for spherical data like fisheye images

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Wide Neural Networks

Theory and applications of wide neural networks, using the neural tangent kernel

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