Synergies

Thematic presentations

Sub-Sampled Exponential Analysis Applied to Sparse Planar Antenna Array Configurations
Faculty of Engineering, Stellenbosch University, Stellenbosch, South Africa
Ridalise Louw

From ESPRIT to ESPIRA: Estimation of signal parameters by iterative rational approximation
ENLIGHT-TRANSMATH meeting: building networks in Harmonic Analysis and PDEs, Bilbao, Spain
Gerlind Plonka-Hoch

From computer algebra to signal processing: sparse interpolation, rational approximation, exponential analysis and tensor decomposition
Computing Science and Mathematics Seminar, University of Stirling, Scotland, UK
Wen-shin Lee

Quantitative Systems Pharmacology & Virtual Patients: A Novel Approach for Improved Generation of Plausible Patients using Farthest Point Optimization
American Conference on Pharmacometrics (ACop13), Aurora, Colorado, USA (poster presentation)
Anna Sher

Rohit Rao

Anna Kirpichnikova

Ilya Baran

Inverse problems for the decaying systems
BIRS-Banff Workshop "New Ideas in Computational Inverse Problems", BIRS, Banff, Canada
Miao-Jung Yvonne Ou

Solving an equilibrium problem with rational approximations
International Conference on Multivariate Approximation and Interpolation with Applications (MAIA 2022), Reinhardwaldschule, Fuldatal, Germany
Ana C. Matos

Computing Markov Functions of Toeplitz Matrices
International Conference on Multivariate Approximation and Interpolation with Applications (MAIA 2022), Reinhardwaldschule, Fuldatal, Germany
Bernhard Beckermann

ESPIRA for Reconstruction of Short Cosine Sums and its Application
International Conference on Multivariate Approximation and Interpolation with Applications (MAIA 2022), Reinhardwaldschule, Fuldatal, Germany
Nadiia Derevianko

Exponential Analysis in Antenna Design
International Conference on Multivariate Approximation and Interpolation with Applications (MAIA 2022), Reinhardwaldschule, Fuldatal, Germany
Wen-shin Lee

Multidimensional Exponential Analysis: Feasible at Last
International Conference on Multivariate Approximation and Interpolation with Applications (MAIA 2022), Reinhardwaldschule, Fuldatal, Germany
Annie Cuyt

Mathematical Signal and Image Processing
University of Stirling, Scotland, UK
Gerlind Plonka-Hoch

An academic career in Computational Mathematics
University of Stirling, Scotland, UK
Annie Cuyt

Exponential Analysis: Solving open problems and Unlocking new potential
Katholische Universität Eichstatt-Ingolstadt, Ingolstadt, Germany
Annie Cuyt

Exponential Analysis in Computational Science and Engineering
ICIAM Workshop on Industrial and Applied Mathematics, University of Strathclyde, Glasgow, Scotland, UK
Wen-shin Lee

From ESPRIT to ESPIRA: Estimation of signal parameters by iterative rational approximation
Minisymposium "Matrix Functions, Operator Functions, and Related Approximation Methods”, SIAM Annual Meeting 2022, Pittsburgh, USA (online)
Gerlind Plonka-Hoch

On the properties of porous piezoelectric materials saturated with conducting fluid
Minisymposium "Recent Advancements in the Mathematics of Materials", AWM Research Symposium, U. MN, Minneapolis
Miao-Jung Yvonne Ou

Tight upper bounds for expressivity of one-dimensional deep ReLU networks
Workshop on Neural Networks and Deep Learning, Fields Institute for Research in Mathematical Sciences, Toronto, Canada
Gerlind Plonka-Hoch

Generalized Möbius-Listing bodies - new models for the sciences
Dagstuhl Seminar 22221, Exponential Analysis: Theoretical Progress and Technological Innovation, Dagstuhl, Germany
Johan Gielis

An Inverse Problems Framework for Magnetic Resonance Relaxometry and Macromolecular Mapping
Dagstuhl Seminar 22221, Exponential Analysis: Theoretical Progress and Technological Innovation, Dagstuhl, Germany
Richard G. Spencer

Antenna Position Estimation through Sub-Sampled Exponential Analysis of Signals in the Near-Field
Dagstuhl Seminar 22221, Exponential Analysis: Theoretical Progress and Technological Innovation, Dagstuhl, Germany
Rina-Mari Weideman

Chromatic Aberration in Large Antenna Systems
Dagstuhl Seminar 22221, Exponential Analysis: Theoretical Progress and Technological Innovation, Dagstuhl, Germany
Dirk de Villiers

Least-squares Multidimensional Exponential Analysis
Dagstuhl Seminar 22221, Exponential Analysis: Theoretical Progress and Technological Innovation, Dagstuhl, Germany
Ferre Knaepkens

New Features in Maple 2022
Dagstuhl Seminar 22221, Exponential Analysis: Theoretical Progress and Technological Innovation, Dagstuhl, Germany
Jürgen Gerhard

From ESPRIT to ESPIRA: Estimation of signal parameters by iterative rational approximation
Dagstuhl Seminar 22221, Exponential Analysis: Theoretical Progress and Technological Innovation, Dagstuhl, Germany
Gerlind Plonka-Hoch

Solving a class of singular integral equations using rational approximation
Dagstuhl Seminar 22221, Exponential Analysis: Theoretical Progress and Technological Innovation, Dagstuhl, Germany
Ana C. Matos

Best rational approximants of Markov functions
Dagstuhl Seminar 22221, Exponential Analysis: Theoretical Progress and Technological Innovation, Dagstuhl, Germany
Bernhard Beckermann

Nevanlinna-Herglotz functions in the study of poroelastic/porous materials
CIRM Workshop "Herglotz-Nevanlinna functions and their applications to dispersive systems and composite materials", Luminy, France
Miao-Jung Yvonne Ou

Multidimensional Exponential Analysis: Theory and Applications
Department of Computer Science, Universiteit Antwerpen, Belgium
Ferre Knaepkens

Exponentials in radio astronomical data processing
ASTRON, Dwingeloo, The Netherlands
Stefan J. Wijnholds

Exponential analysis empowering innovation
ASTRON, Dwingeloo, The Netherlands
Annie Cuyt

A Nevanlinna-Stietjes function approach for treating the memory term in the context of the time-domain linear poroelastic wave equations"
Applied Mathematics and Computation Seminar, Oregon State University, Oregon, USA
Miao-Jung Yvonne Ou

Reconstruction of Layers in Optical Coherence Tomography Images
Minisymposium "Advances in Optimization for Image Processing: New Applications, Algorithms and Theory”, SIAM Conference on Imaging Science (IS22), Berlin, Germany (online)
Gerlind Plonka-Hoch

Exponential Analysis in Image Processing
Minisymposium "Recovering Algebraic Structures in Imaging & Signal Processing", SIAM Conference on Imaging Science (IS22), online
Wen-shin Lee

From ESPRIT to ESPIRA: Estimation of signal parameters by iterative rational approximation
Rhein-Ruhr Workshop, Bestwig, Germany
Gerlind Plonka-Hoch

Multidimensional exponential analysis: feasible at last
South African Mathematical Society (SAMS), virtual online meeting
Annie Cuyt

From ESPRIT to ESPIRA: Estimation of signal parameters by iterative rational approximation
Workshop on the Intersections of Computation and Optimisations, Canberra, Australia (online)
Gerlind Plonka-Hoch

From ESPRIT to ESPIRA: Estimation of signal parameters by iterative rational approximation
Conference on Numerical Methods and Scientific Computing, Centre International de Rencontres Mathématiques (CIRM), Luminy, France
Gerlind Plonka-Hoch

Multidimensional exponential analysis: feasible at last
Conference on Numerical Methods and Scientific Computing, Centre International de Rencontres Mathématiques (CIRM), Luminy, France
Annie Cuyt

Exponential analysis: from de Prony to Froissart and beyond
NMSC21, CIRM Luminy campus, France
Annie Cuyt

Sparse multidimensional exponential analysis
Woudschoten Conference, Zeist, Netherlands (poster presentation)
Ferre Knaepkens

Start of the EXPOWER project: 01 OCT 2021

Contributions to Some Validated Exponential Analysis Applications
Department of Computer Science, Universiteit Antwerpen, Belgium
Yuan Hou

Sparse Interpolation: from de Prony to Froissart and beyond
The Hybrid Symbolic-Numeric Computation Special Session, the 26th International Conference on Applications of Computer Algebra (ACA 2021), online
Annie Cuyt

Sparse Interpolation: design sparse antenna arrays for estimating directions of arrival signals
The Hybrid Symbolic-Numeric Computation Special Session, the 26th International Conference on Applications of Computer Algebra (ACA 2021), online
Wen-shin Lee

Exponential analysis in Computational Science and Engineering
University of Stirling, Division of Computing Science and Mathematics

Multi-exponential analysis might sound remote, but it touches our lives in many surprising ways, even if most people are unaware of just how important it is.

Annie Cuyt

Validated exponential analysis in one and higher dimensions
ICIAM 2019, Valencia, Spain
Annie Cuyt

Multidimensional superresolution in sonar and radar imaging
SIAM AG 2019, Bern, Switzerland
Annie Cuyt

On the use of exponential analysis in Science and Industry
National Taiwan Normal University, Taipei, Taiwan
Min-nan Tsai

From exponential analysis to Pad ́e approximaton and tensor decomposition, in one and more dimensions
CASC2018, Lille, France
Annie Cuyt

A scale and shift paradigm for sparse interpolation in one and more dimensions
CUNY graduate center(poster session), New York, USA
Annie Cuyt

Multidimensional superresolution in science and industry
Curves and surfaces, Arcachon, France
Annie Cuyt

Low-rank updates of matrix functions
Georg-August-Universität Göttingen, Institute for Numerical and Applied Mathematics

We consider the task of updating a matrix function f(A) when the matrix A ∈ Cnxn is subject to a low-rank modification. In other words, we aim at approximating f(A+D)-f(A) for a matrix D of rank k ≪ n.

Bernhard Beckermann

Superresolution underwater acoustics
Euronoise 2018 (poster session), Crete, Greece
Annie Cuyt

Identification problems in exponential analysis
Georg-August-Universität Göttingen, Institute for Numerical and Applied Mathematics

Estimating the spectral information of an exponential sum plays an important role in many signal processing applications.

Wen-shin Lee

Development of a Validated EXPonential Analysis method
Department of Mathematics and Computer Science, Universiteit Antwerpen, Belgium
Matteo Briani

Validated Exponential Analysis
Department of Mathematics and Computer Science, Universiteit Antwerpen, Belgium

In signal processing data are traditionally sampled according to the Shannon-Nyquist theorem in order to prevent aliasing effects.

Matteo Briani

Working with rational functions in a numeric environment - some contributions
Georg-August-Universität Göttingen, Institute for Numerical and Applied Mathematics

Rational functions like for instance Padé approximants play an important role in signal processing, sparse interpolation and exponential analysis. They have good theoretical properties in approximation and modeling.

Ana C. Matos

Transient detection
ECCOMAS 2016, Heraklion, Crete, Greece
Annie Cuyt

Sparse interpolation
Université de Lille, France
Annie Cuyt

How sub-sampling leads to more robustness and higher resolution in digital signal processing
Department of Mathematical Sciences, University of Delaware
Wen-shin Lee

A generalized Prony method for sparse approximation
Department of Mathematics and Computer Science, Universiteit Antwerpen, Belgium

We derive a new generalization of Prony's method to reconstruct M-sparse expansions of (generalized) eigenfunctions of linear operators from only O(M) suitable values in a deterministic way.

Gerlind Plonka-Hoch

Exponential analysis, Sparse interpolation and Padé approximation
Schloss Dagstuhl, Saarbrücken, Germany
Annie Cuyt

Signal processing, Sparse interpolation, and Rational approximation
Georg-August-Universität Göttingen, Institute for Numerical and Applied Mathematics
Annie Cuyt

Tutorials

Minicourse: Connecting Maple with other Software
Dagstuhl Seminar 22221, Exponential Analysis: Theoretical Progress and Technological Innovation, Dagstuhl, Germany
Jürgen Gerhard

Start of the EXPOWER project: 01 OCT 2021

Order Bases : History, Applications and Computation
5th Algorithmic and Enumerative Combinatorics Summer School 2019, Hagenberg, Austria

Series of five research lectures for graduate students and researchers.

George Labahn

Beyond classical exponential analysis: Generalizations, Connections and Applications
Research Training Group 2088, Georg-August-Universität Göttingen
Annie Cuyt

Sparse wavelet approximation of signals and images
Dolomites Research Week on Approximation (DRWA14)

Within the last time, various adaptive methods for signal and image approximation have been suggested. Instead of choosing a priori a basis or a frame to approximate an image, one tries to adapt the approximation scheme to the image geometry.

Gerlind Plonka-Hoch

Sparse interpolation
Dolomites Research Week on Approximation (DRWA14)

Throughout computational science and engineering, several attempts have been made to represent data in a parsimonious way.

Annie Cuyt

Sparse approximation of signals and images
Summer School on Applied Analysis 2013 (CMS13)

A crucial problem in data analysis is to construct efficient low-level representations of mathematical objects from discrete signal data while preserving characteristic properties of the target object.

Gerlind Plonka-Hoch

Organized meetings

International Conference on Multivariate Approximation and Interpolation with Applications (MAIA)
Reinhardswald Schule, Hessische Lehrkräfteakademie, Fuldatal, Germany
Gerlind Plonka-Hoch

et al.

London Mathematical Society: Female Leadership in Mathematical Sciences
University of Stirling, Scotland, UK
Wen-shin Lee

Anna Kirpichnikova

Numerical Methods and Scientific Computing
Centre International de Recontres Mathématiques(CIRM), Luminy, France
Bernhard Beckermann

Ana C. Matos

Start of the EXPOWER project: 01 OCT 2021

International Conference on Applications of Computer Algebra (ACA 2021): Special Session “Hybrid Symbolic-Numeric Computation”
Virtual Online
Mark Giesbrecht

George Labahn

et al.

5èmes Journées Approximation, International conference on constructive complex approximation
Université des Sciences et Technologies de Lille - Lille I, France
Ana C. Matos

Bernhard Beckermann

et al.

Research visits

Visit of David Li (Strathclyde University, UK) and Tomas Sauer (University of Passau, Germany) to Universiteit Antwerpen.
Department of Mathematics and Computer Science, Universiteit Antwerpen, Belgium
David Li

Tomas Sauer

Visit of Annie Cuyt (Universiteit Antwerpen, Belgium) to University of Florence
University of Florence, Florence, Italy
Annie Cuyt

Start of the EXPOWER project: 01 OCT 2021

Visit of Wen-shin Lee (University of Stirling) to Universiteit Antwerpen.
Department of Mathematics and Computer Science, Universiteit Antwerpen, Belgium
Wen-shin Lee

Annie Cuyt (Universiteit Antwerpen) to University of Stirling.
University of Stirling, Scotland, UK
Annie Cuyt

Visit of George Labahn (University of Waterloo) to Université de Lille
Université de Lille, France
George Labahn

Visit of Annie Cuyt (Universiteit Antwerpen) to University of Stirling
University of Stirling, Scotland, UK
Annie Cuyt

Visit of Wen-shin Lee (University of Stirling) to Universiteit Antwerpen
Universiteit Antwerpen, Belgium
Wen-shin Lee

Visit of Dirk de Villiers (Stellenbosch University, South Africa) to Universiteit Antwerpen
Stellenbosch University, Stellenbosch, South Africa
Dirk de Villiers

Visit of Rina-Mari Weideman (Stellenbosch University, South Africa) to Universiteit Antwerpen
Universiteit Antwerpen, Belgium
Rina-Mari Weideman

Visit of George Labahn (University of Waterloo) to Université de Lille
Université de Lille, France
George Labahn

Visit of Wen-shin Lee (University of Stirling) to Universiteit Antwerpen
Universiteit Antwerpen, Belgium
Wen-shin Lee

Visit of Annie Cuyt (Universiteit Antwerpen, Belgium) to Georg-August-Universität Göttingen
Georg-August-Universität Göttingen, Göttingen, Germany
Annie Cuyt

Visit of Wen-shin Lee (University of Stirling) to Universiteit Antwerpen
Universiteit Antwerpen, Belgium
Wen-shin Lee

Visit of Yvonne Ou (University of Delaware) to University of Stirling
University of Stirling, Scotland, UK
Yvonne Ou

Visit of Mark Giesbrecht (University of Waterloo) to University of Stirling
University of Stirling, Scotland, UK
Mark Giesbrecht

Visit of Dirk de Villiers (Stellenbosch University, South Africa) to Universiteit Antwerpen
Universiteit Antwerpen, Belgium
Dirk de Villiers

Visit of Dirk de Villiers (Stellenbosch University, South Africa) to ASTRON
ASTRON, Dwingeloo, The Netherlands
Dirk de Villiers

Visit of Gerlind Plonka-Hoch (Georg-August-Universität Göttingen, Germany) to Universiteit Antwerpen
Universiteit Antwerpen, Belgium
Gerlind Plonka-Hoch

Visit of Ana Matos (Université des Sciences et Technologies de Lille - Lille I, France) to Georg-August-Universität Göttingen
Georg-August-Universität Göttingen, Göttingen, Germany