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Welcome to the website of the Chair of Reliable Machine Learning

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The research group "Reliable Machine Learning" studies the properties of machine learning algorithms.
In view of the recent success of deep learning methods in applications like image recognition, speech recognition, and automatic translation, the group especially focuses on properties of deep neural networks.

Although a neural network trained e.g. for an image classification task might work well on "real inputs", it has been repeatedly shown empirically that such networks are vulnerable to adversarial examples:
a minimal perturbation (impercetible to a human) of the input data can cause the network to misclassify the input.
Thus, an important research area of the group is to mathematically understand the reasons for the existence of such adversarial examples (i.e., the instability of trained neural networks),
and - building on that understanding - to develop improved methods that yield provably robust neural networks.

The research group is supported by the Emmy Noether project "Stability and Solvability in Deep Learning".

Content of Chair of reliable machine learning

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Math News

Mathematical Foundations of Data Science Seminar

The event “Mathematical Foundations of Data Science Seminar” of KU, LMU and TUM took place on December 5th in the Georgianum. 

Both Paul Geuchen (“Approximation properties of (complex-valued) neural networks”) and Felix Voigtlaender (“Sampling numbers of the Fourier side Barron spaces”) from the MIDS gave talks in the field of machine learning and approximation theory.

Guests included the working groups of Massimo Fornasier and Felix Krahmer from TUM as well as Gitta Kutyniok and Holger Rauhut from LMU. In the evening, we visited the Ingolstadt Christmas market together. We look forward to many more meetings in 2025.

Mathematical Institute for Machine Learning and Data Science

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The Chair of Reliable Maschine Learning is part of the Mathematical Institute for Machine Learning and Data Science, MIDS.
Learn more about MIDS here.