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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".

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Approximation experts as guests at MIDS

We are very pleased to welcome Prof. Joaquín Jódar Reyes (Departamento Matemáticas Universidad de Jaen, Campus Las Lagunillas, Spain) Prof. Miguel L. Rodríguez (Dep. de Matemática Aplicada, ETSI de Caminos Canales y Puertos, Universidad de Granada, Spain) and Prof. Martin Buhmann (Justus-Liebig University Giessen) as guests at MIDS this week.

Together with Dr. Janin Jäger from Prof. Oliver's research group, they are working on improving approximation methods. These are methods for calculating approximations and functions from data. In particular, they are looking at quasi-interpolation methods, in which they do not attempt to transfer the measured values exactly into the approximation, as the values can be incorrect, but rather to smooth the data.

Prof. Buhmann also gave a talk on "New multiquadric-type interpolation and on a regular domain" at the MIDS Oberseminar on Tuesday.

In 2022, CUP published a book by Prof. Buhmann and Dr. Jäger with the title "Quasi-Interpolation"

We are always very happy to welcome international scientists at MIDS.

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.