Bayesian Contrastive Learning on Topological Structures

Master Thesis (2023)
Author(s)

A.J. Möllers (TU Delft - Electrical Engineering, Mathematics and Computer Science)

Contributor(s)

Elvin Isufi – Mentor (TU Delft - Multimedia Computing)

H.N. Kekkonen – Mentor (TU Delft - Statistics)

Vincent Fortuin – Mentor (Helmholtz AI)

Alexander Immer – Mentor (ETH Zürich)

Leo van van Iersel – Graduation committee member (TU Delft - Discrete Mathematics and Optimization)

Faculty
Electrical Engineering, Mathematics and Computer Science
Copyright
© 2023 Alex Möllers
More Info
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Publication Year
2023
Language
English
Copyright
© 2023 Alex Möllers
Graduation Date
08-11-2023
Awarding Institution
Delft University of Technology
Programme
Applied Mathematics | Stochastics
Faculty
Electrical Engineering, Mathematics and Computer Science
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Abstract

In this thesis we develop a Bayesian approach to graph contrastive learning and propose a new uncertainty measure based on the disagreement in likelihood due to different positive samples. Moreover, we extend contrastive learning to simplicial complexes and show that it can be used to generate high-quality representations of edge flow data.

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