The Mathematics of Reliable AI: Successes, Limitations, and Next Generation Computing

IDeAS
Sep 24, 2024
3 - 4:30 pm
314 Fine Hall

Abstract: 

The new wave of artificial intelligence is impacting industry, public life, and the sciences in an unprecedented manner. However, one current major drawback is the lack of reliability as well as the enormous energy problem of AI.

The goal of this lecture is to first provide an introduction into this new vibrant research area, and showcase some recent successes. We will then focus on limitations of reliability of AI from a mathematical perspective, in particular, with respect to computability problems caused by current (digital) hardware. This will lead us naturally to novel approaches for future AI computing such as neuromorphic computing and spiking neural networks as the associated type of neural networks.

Prof. Dr. Gitta Kutyniok - Bio

Prof. Gitta Kutyniok

Prof. Gitta Kutyniok

Gitta Kutyniok (https://www.ai.math.lmu.de/kutyniok) currently has a Bavarian AI Chair for Mathematical Foundations of Artificial Intelligence at the Ludwig-Maximilians-Universität München and is in addition affiliated with the DLR-German Aerospace Center and the University of Tromso. She received her Diploma in Mathematics and Computer Science as well as her Ph.D. degree from the Universität Paderborn in Germany, and her Habilitation in Mathematics in 2006 at the Justus-Liebig Universität Gießen. From 2001 to 2008 she held visiting positions at several US institutions, including Princeton University, Stanford University, Yale University, Georgia Institute of Technology, and Washington University in St. Louis. In 2008, she became a full professor of mathematics at the Universität Osnabrück, and moved to Berlin three years later, where she held an Einstein Chair in the Institute of Mathematics at the Technische Universität Berlin and a courtesy appointment in the Department of Computer Science and Engineering until 2020. In 2023, together with colleagues she founded the start-up EcoLogic Computing GmbH.

Gitta Kutyniok has received various awards for her research such as an award from the Universität Paderborn in 2003, the Research Prize of the Justus-Liebig Universität Gießen and a Heisenberg-Fellowship in 2006, and the von Kaven Prize by the DFG in 2007. She was invited as the Noether Lecturer at the ÖMG-DMV Congress in 2013, a plenary lecturer at the 8th European Congress of Mathematics (8ECM) in 2021, and the lecturer of the London Mathematical Society (LMS)Invited Lecture Series in 2022. She was also honored by invited lectures at both the International Congress of Mathematicians 2022 (ICM 2022) and the International Congress on Industrial and Applied Mathematics (ICIAM 2023). Moreover, she was elected as a member of the Berlin-Brandenburg Academy of Sciences and Humanities in 2017 and of the European Academy of Sciences in 2022, became a SIAM Fellow in 2019 and an IEEE Fellow in 2024, and served as Vice President-at-Large of SIAM from 2021 to 2023. She currently acts as LMU-Director of the Konrad Zuse School of Excellence in Reliable AI (relAI) in Munich and is spokesperson of the DFG-Priority Program "Theoretical Foundations of Deep Learning" and of the AI-HUB@LMU, which is the interdisciplinary platform for research, teaching, and transfer in AI and data science at LMU.

Gitta Kutyniok's research work covers, in particular, the areas of applied and computational harmonic analysis, artificial intelligence, compressed sensing, deep learning, imaging sciences, inverse problems, and applications to life sciences, robotics, and telecommunication.