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Welcome to the AIDOS Lab

We are a research group at the University of Fribourg, working at the intersection of geometry, topology, and machine learning. Grounded in mathematics, we build principled methods that reveal hidden structure in complex data.

If you are a student at the University of Fribourg and are interested in writing a bachelor’s or master’s thesis with us, please drop us a line.

What We Do

Data has shape, and we build tools that find it.

Our core focus is geometrical and topological machine learning, i.e., developing methods that make use of principles from geometry and topology to learn robust, expressive representations. We work with concepts like Euler Characteristic Transforms, persistent homology, discrete curvature, and metric space magnitude to analyze point clouds, graphs, and manifolds.

We see ourselves as toolsmiths, caring about theory and practice alike.

Our research is graciously supported by the Canton of Fribourg and the Swiss State Secretariat for Education, Research and Innovation SERI, which funds our ERC Starting Grant “HOLES: Higher-Order Learning of Essential Structures with Geometry and Topology” under the transitional measures for the Horizon package 2021–2027.

Why We Do It

“AIDOS” carries two meanings. The first one describes our work, i.e., Artificial Intelligence for Data-Oriented Science. The second one originates from the ancient Greek word “αἰδώς,” which denotes a sense of awe, reverence, or humility when facing something greater than oneself. This awe keeps us honest about the many things we do not (yet) know, and we strongly believe that this is the right disposition for doing science.

News

: Julius defended his dissertation “Robust Topological Representation Learning” with magna cum laude and is the first PhD student of the lab to graduate. Congratulations and all the best for your future career, Julius! It was a pleasure working with you!
: 👏 Our academic visitor Giacomo (Parolin) defended his MSc thesis “Differentiable Euler Characteristic Transform for Molecular Prediction” with the highest possible exam grade “cum laude.” Congratulations!
: 🐣 The lab is taking shape! With Richard, Nadja, Johannes, Kavir, and Martin joining as Ph.D. students, we are now eagerly awaiting our postdocs Elena and Inés. Welcome, everyone!
: Bastian will give three talks at JMM, the Joint Mathematics Meetings, one on “Diss-lECT: Dissecting Data with local Euler Characteristic Transforms” (related to a recent preprint of ours), the second one on “Two Households, Both Alike In Dignity: Geometry and Topology in Machine Learning,” and the final one on “Good Gradients and How To Find Them: Towards Multi-Scale Representation Learning.” Find these (and more!) talks at Bastian’s website.
: Emily wrote up a great thread on SCOTT, our new codebase for curvature filtrations. See her post on X or BlueSky for more details.