Compressed Sensing in Information Processing

lt;b> Prof. Dr. Gitta Kutyniok currently has a Bavarian AI Chair for Mathematical Foundations of Artificial Intelligence at the Ludwig-Maximilians Universität München. 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, and was a Nachdiplomslecturer at ETH Zurich in 2014. 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 addition, Gitta Kutyniok holds an Adjunct Professorship in Machine Learning at the University of Tromso since 2019.
Gitta Kutyniok has received various awards for her research such as an award from the Universität Paderborn in 2003, the Research Prizeof 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, the Hans Schneider ILAS Lecturer at IWOTA in 2016, 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. Moreover, she will give invited lectures at the International Congress of Mathematicians (ICM) 2022 and at the International Congress on Industrial and Applied Mathematics (ICIAM) 2023. She also became a member of the Berlin-Brandenburg Academy of Sciences and Humanities in 2017, a SIAM Fellow in 2019, and a Simons Fellow at the Isaac Newton Institute in 2021; she received an Einstein Chair at TU Berlin in 2008, a Francqui Chair of the Belgian Francqui Foundation in 2020, and holds the first Bavarian AI Chair at LMU from 2020 on. She was Chair of the SIAM Activity Group on Imaging Sciences from 2018-2019 and Vice Chair of the new SIAM Activity Group on Data Science in 2021, and currently serves as Vice President-at-Large of SIAM. She is also the main coordinator of the Long-Term Programme on "Mathematics of Deep Learning" at the Isaac Newton Institute in 2021 and of the Research Focus "Next Generation AI" at the Center for Advanced Studies at LMU from 2021 to 2023.
Gitta Kutyniok's research work covers, in particular, the areas of applied and computational harmonic analysis, approximation theory, artificial intelligence, compressed sensing, frame theory, imaging sciences, inverse problems, machine learning, numerical analysis of partial differential equations, and applications to life sciences and telecommunication. She is primarily interested in developing mathematical methodologies and associated theories to solve application motivated problems. The most significant of Gitta Kutyniok's contributions is perhaps the introduction of the directional multiscale system of shearlets (www.ShearLab.org) and a comprehensive theoretical approach to analyze sparse regularizationof inverse problems using harmonic analysis and microlocal analysis. In 2015, she entered the area of machine learning, aiming to develop a theoretical foundation for deep learning, also for its application within mathematics. In this direction, some of her most well-known contributions are the analysis and construction of 

Hierarchical compressed sensing (G. Wunder).- Proof Methods for Robust Low-Rank Matrix Recovery (T. Fuchs).- New Challenges in Covariance Estimation: Multiple Structures and Coarse Quantization (J. Maly).- Sparse Deterministic and Stochastic Channels: Identification of Spreading Functions and Covariances(Dae Gwan Lee).- Analysis of Sparse Recovery Algorithms via the Replica Method (A. Bereyhi).- Unbiasing in Iterative Reconstruction Algorithms for Discrete Compressed Sensing(F.H. Fischer).- Recovery under Side Constraints (M. Pesavento).- Compressive Sensing and Neural Networks from a Statistical Learning Perspective (E. Schnoor).- Angular Scattering Function Estimation Using Deep Neural Networks (Y. Song).- Fast Radio Propagation Prediction with Deep Learning (R. Levie).- Active Channel Sparsification: Realizing Frequency Division Duplexing Massive MIMO with Minimal Overhead (M. B. Khalilsarai).- Atmospheric Radar Imaging Improvements Using Compressed Sensing and MIMO (J. O. Aweda).- Over-the-Air Computation for Distributed Machine Learning and Consensus in Large Wireless Networks (M. Frey).- Information Theory and Recovery Algorithms for Data Fusion in Earth Observation (M. Fornasier).- Sparse Recovery of Sound Fields Using Measurements from Moving Microphones (A. Mertins).- Compressed Sensing in the Spherical Near-Field to Far-Field Transformation (C. Culotta-López).