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

The Quest for Unification - Intersecting Mathematics, Physics and AI

22 Nov 2024

Inauguration lecture for Daniel Persson’s promotion to full professor of mathematics.

Daniel Persson develops the mathematics of AI

14 Nov 2024

Interview with Daniel Persson on the occasion of his upcoming promotion to full professor of mathematics.

Lecture for high school students on Matematikens mysterier - från svarta hål till artificiell intelligens

24 Oct 2024

Public lecture by Daniel Persson for high school students at Hulebäcksgymnasiet.

Paper by Daniel Persson together with Emma Andersdotter and Fredrik Ohlsson at Umeå University.

CaLISTA Workshop

02 Sep 2024

This week Elias Nyholm is attending the CaLISTA workshop on Geometry-Informed Machine Learning in Paris, where he will present a poster on General Equivariant Transformers.

WASP Mathematics Supervisor Workshop

29 Aug 2024

Daniel Persson organized a workshop at Hässelby slott in Stockholm, aimed at gathering all supervisors within the WASP math-AI track. Jan Gerken gave a talk on Geometric deep learning and neural tangent kernels.

Princeton Machine Learning Theory Summer School

13 Aug 2024

Philipp Misof is currently at the Princeton University and meeting other PhD students and lecturers focusing on theoretical aspects of ML. Today he will present his poster on “Equivariant Neural Tangent Kernels” at the poster session.

IAIFI 2024 Summer Workshop

12 Aug 2024

Our group members Max Guillen and Jan Gerken participated in the IAIFI 2024 Summer Workshop about physics and AI at MIT and presented work on the RG flow of the NTK dynamics at finite-width from Feynman diagrams as well as Symmetries and the Neural Tangent Kernel.

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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