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Representing and Quantifying Predictive Uncertainty in Machine Learning

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Abstract

This dissertation studies predictive uncertainty estimation in machine learning as a compositional problem of representation and quantification. It advances Bayesian methods for neural networks by exploiting posterior structure and symmetry to improve inference and uncertainty representation, and critically examines common uncertainty measures, proposing more principled alternatives. The work further demonstrates how reliable uncertainty estimates can improve downstream tasks such as adaptive data acquisition and self-supervised learning, highlighting both their practical value and remaining challenges. (Shortened).

phdthesis Wim25


Dissertation

LMU München. Dec. 2025

Authors

L. Wimmer

Links

DOI

Research Area

 A1 | Statistical Foundations & Explainability

BibTeXKey: Wim25

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