The Geometry of Mixability
Cabrera.Pacheco, Armando J., and Robert C Williamson. 2023. “The Geometry of Mixability”. Transactions on Machine Learning Research.
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The AI of ethics
Williamson, Robert C. 2021. “The AI of Ethics”. In Machines We Trust: Perspectives on Dependable AI, 139-60. Boston: MIT Press.
Research D
Information Processing Equalities
machine learning processes information, but what do we mean by 'information"? One view comes from Information Theory, which was originally developed motivated by problems of communication. But learning problems are different, aren't they? This project explores the notion of information that makes...
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Scoring Rules and Calibration for Imprecise Probabilities
Fröhlich, Christian, and Robert C. Williamson. 2024. “Scoring Rules and Calibration for Imprecise Probabilities”. ArXiv.
Thesis Projects
Below is a list of possible thesis projects within the FMLS group. These should be considered starting points only. An essential part of doing a thesis is the formulation and refinement of the problem itself. Bachelor/Master (strong focus on Math): What does predictor learn when doing ``robust...
Three Types of Calibration with Properties and theirSemantic and Formal Relationships
Derr, Rabanus, Jessie Finocchiaro, and Robert C. Williamson. 2025. “Three Types of Calibration With Properties and TheirSemantic and Formal Relationships”. ArXiv 2504.18395.
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Maria-von-Linden Strasse 1 Tübingen, 72076 Germany email
Armando Cabrera Pacheco
I am a mathematician with research experience in differential geometry, geometric analysis, and mathematical relativity. The main goal of my current research is to better understand several key objects in machine learning from a rigorous mathematical point of view. I am convinced that analyzing...