Umeå University Umeå, Sweden PhD position 15 May 2024
1 week ago
The Department of Mathematics and Mathematical Statistics is opening a PhD position in mathematics or mathematical statistics, focusing on geometric deep learning. The position covers four years of third-cycle studies, including participation in research and third-cycle courses. The last day to apply is August 26th 2024.
Project Description and Tasks:Machine learning ('artificial intelligence') is having an immense impact on both society at large and research especially, and this impact is expected to increase. This boom is driven by so-called deep neural networks, a class of machine learning models proven incredibly powerful, versatile, and capable of solving many machine learning tasks. Mathematicians have taken huge steps towards theoretically understanding their empirical success, but many open questions remain.
A subfield within neural network theory is geometric deep learning. It concerns symmetries in the data or the learning task and constructing neural networks that react properly to them (equivariant networks). Examples of such symmetries are:
- Symmetries towards rotations of point clouds,
- Translations of images,
- Permutations of nodes in graphs.
Combining the geometric/algebraic theory of (group) symmetries with the more analytical/statistical theory of machine learning allows for mathematically multifaceted research.
The project aims at deepening the mathematical theory of geometric deep learning. Exciting research questions include the development of:
- New ways of constructing equivariant networks,
- Describing the resulting models mathematically,
- Directly analyzing how symmetries affect the training of neural networks.
The project is affiliated with the AI/Math track within Wallenberg AI, Autonomous Systems and Software Program (WASP), and the PhD student will take part in the WASP graduate school.
Umeå offers excellent working and living conditions, surrounded by forests and lakes, and lies close by the sea. In the vicinity, there are plenty of opportunities for both indoor and outdoor activities.
For further information and instructions on how to apply, see: https://umu.varbi.com/en/what:job/jobID:727975/
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