Bavarian AI Chair for Mathematical Foundations of Artificial Intelligence

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  • S. Maskey, G. Kutyniok, R. Levie. Generalization Bounds for Message Passing Networks on Mixture of Graphons (arXiv:2404.03473)
  • H. Boche, A. Fono and G. Kutyniok. Mathematical Algorithm Design for Deep Learning under Societal and Judicial Constraints: The Algorithmic Transparency Requirement (arXiv:2401.10310)


  • S. Kolek, A. Chattopadhyay, K. Chan, H. Andrade-Loarca, G. Kutyniok, R. Vidal. Learning Interpretable Queries for Explainable Image Classification with Information Pursuit. (arXiv:2312.11548)
  • S. Küchemann, K. Avila, Y. Dinc, C. Hortmann, N. Revenga, V. Ruf, N. Stausberg, S. Steinert, F. Fischer, M. Fischer, E. Kasneci, G. Kasneci, T. Kuhr, G. Kutyniok, S. Malone, M. Sailer, A. Schmidt, M. Stadler, J. Weller, and J. Kuhn. Are Large Multimodal Foundation Models all we need? On Opportunities and Challenges of these Models in Education. (pdf)
  • P. Scholl, M. Iskandar, S. Wolf, J. Lee, A. Bacho, A. Dietric, A. Albu-Schäffer, G. Kutyniok. Learning-based adaption of robotic friction models. (arXiv:2310.16688)
  • M. Singh, A. Fono, G. Kutyniok. Expressivity of Spiking Neural Networks (arXiv:2308.08218)
  • H. Andrade-Loarca, J. Hege, A. Bacho, G. Kutyniok. PoissonNet: Resolution-Agnostic 3D Shape Reconstruction using Fourier Neural Operators (arXiv:2308.01766)
  • A. Bacho, H. Boche, G. Kutyniok. Reliable AI: Does the Next Generation Require
    Quantum Computing? (arXiv:2307.01301v1)
  • Hung-Hsu Chou, Johannes Maly, Claudio Mayrink Verdun. Non-negative Least Squares via Overparametrization (arXiv:2207.08437)


  • E. Kasneci, K. Sessler, S. Küchemann, M. Bannert, D. Dementieva, F. Fischer, U. Gasser, G. Groh, S. Günnemann, E. Hüllermeier, S. Krusche, G. Kutyniok, T. Michaeli, C. Nerdel, J. Pfeffer, O. Poquet, M. Sailer, A. Schmidt, T. Seidel, M. Stadler, J. Weller, J. Kuhn, G. Kasneci. ChatGPT for Good? On Opportunities and Challenges of Large Language Models for Education. Learning & Individual Differences, to appear (pdf).
  • Y. Lee, H. Boche, G. Kutyniok. Computability of Optimizers (arXiv:2301.06148)
  • A. Bacho, H. Boche, G. Kutyniok. Complexity Blowup for Solutions of the Laplace and the Diffusion Equation. (arXiv:2212.00693)
  • G. Kutyniok, The Mathematics of Artificial Intelligence (pdf)
  • H. Boche, A. Fono and G. Kutyniok. Inverse Problems Are Solvable on Real Number Signal Processing Hardware (arxiv:2204.02066)
  • M. Ko, U. K. Panchal, H. Andrade-Loarca, A. Mendez-Vazquez. CoShNet: A Hybird Complex Valued Neural Network using Shearlets (arXiv:2208.06882)
  • H. Boche, A. Fono and G. Kutyniok. Non-Computability of the Pseudoinverse on Digital Computers (arXiv:2212.02940)