Universität Bonn

Trimester Program: "Mathematics of Signal Processing"


January 4 - April 22, 2016

Organizers: Massimo Fornasier, Mauro Maggioni, Holger Rauhut, Thomas Strohmer

Description: Signal processing has been a constant source for interesting and challenging mathematical problems over the last decades, often leading to new ideas and directions in mathematics. Corresponding mathematical techniques draw from various areas including harmonic analysis, approximation theory, convex optimization, random matrix theory, numerical analysis and graph theory. The mathematical developments have led to significant impact for various practical signal processing applications. This trimester program aimed at bringing together leading experts in the field, exploring new directions and fostering international collaborations.

Topics of the program included compressive sensing, low rank matrix recovery, time-frequency analysis, frame theory, sampling, quantization, graphs in signal processing, high-dimensional signal processing and signal processing applications.

Associated Events: 

  • Winter School on Advances in Mathematics of Signal Processing (January 11-15)
  • Workshop on Low Complexity Models in Signal Processing (February 15-19)
  • Workshop on Finite Weyl-Heisenberg Groups in mathematics, quantum physics, and engineering (Feburary 22-24)
  • Workshop on Harmonic Analysis, Graphs and Learning (March 14-18)

Publications

No.
Author(s)
Title
Preprint
Publication
2016a01 Bongini, Mattia; Fornasier, Massimo; Hansen, Markus; Maggioni, Mauro Inferring interaction rules from observations of evolutive systems I: the variational approach 1602.00342 MR3636616
2016a02 Aldroubi, A.; Cabrelli, C.; Çakmak, A. F.; Molter, U.; Petrosyan, A. Iterative actions of normal operators 1602.04527 MR3579135
2016a03 Karabash, Illya M.; Prestin, Jürgen Recovery of periodicities hidden in heavy-tailed noise 1512.08732 MR3756855
2016a04 Rauhut, Holger; Schneider, Reinhold; Stojanac, Željka Low rank tensor recovery via iterative hard thresholding 1602.05217 MR3624675
2016a05 Boche, Holger; Tampubolon, Ezra Mathematics of signal design for communication systems   MR3497595
2016a06 Boche, Holger; Mönich, Ullrich J. Banach-Steinhaus theory revisited: lineability and spaceability   MR3578829
2016a07 Boche, Holger; Mönich, Ullrich J. Spaceability for sets of bandlimited input functions and stable linear time-invariant systems with divergence behavior pdf  
2016a08 Aceska, Roza; Bouchot, Jean-Luc; Li, Shidong Local sparsity and recovery of fusion frames structured signals 1604.00424  
2016a09 Bouchot, Jean-Luc; Hamm, Keaton Stability and robustness of RBF interpolation 1603.05168 MR3712802
2016a10 Alberti, Giovanni S.; Dahlke, Stephan; De Mari, Filippo; De Vito, Ernesto; Führ, Hartmut Recent progress in shearlet theory: systematic construction of shearlet dilation groups, characterization of wavefront sets, and new embeddings 1605.02873 MR3700118
2016a11 Küng, Richard; Jung, Peter Robust nonnegative sparse recovery and the nullspace property of 0/1 measurements 1603.07997 MR3762586
2016a12 Alberti, Giovanni S.; Ammari, Habib; Jin, Bangti; Seo, Jin-Keun; Zhang, Wenlong The linearized inverse problem in multifrequency electrical impedance tomography 1602.04312 MR3553924
2016a13 Täufer, Matthias; Veselić, Ivan Wegner estimate for Landau-breather Hamiltonians 1607.00187 MR3518991
2016a14 Franklin, David J.; Hogan, Jeffrey A.; Larkin, Kieran G. Hardy, Paley-Wiener and Bernstein spaces in Clifford analysis   MR3662507
2016a15 Bouchot, Jean-Luc; Rauhut, Holger; Schwab, Christoph Multi-level compressed sensing Petrov-Galerkin discretization of high-dimensional parametric PDEs 1701.01671  
2016a16 Iwen, Mark A.; Preskitt, Brian; Saab, Rayan; Viswanathan, Aditya Phase retrieval from local measurements: improved robustness via eigenvector-based angular synchronization 1612.01182 MR4016998
2016a17 Temlyakov, Vladimir; Tikhonov, Sergey Remez-type inequalities for the hyperbolic cross polynomials 1606.03773  
2016a18 Küng, Richard; Zhu, Huangjun; Gross, David Low rank matrix recovery from Clifford orbits 1610.08070  
2016a19 Küng, Richard; Zhu, Huangjun; Gross, David Distinguishing quantum states using Clifford orbits 1609.08595  
2016a20 Zhu, Huangjun; Küng, Richard; Grassl, Markus; Gross, David The Clifford group fails gracefully to be a unitary 4-design 1609.08172  
2016a21 Kliesch, Martin; Küng, Richard; Eisert, Jens; Gross, David Improving compressed sensing with the diamond norm 1511.01513 MR3599093
2016a22 Jüstel, Dominik The Zak transform on strongly proper G-spaces and its applications 1605.05168 MR3764067
2016a23 Egidi, Michela; Veselic, Ivan Scale-free unique continuation estimates and Logvinenko-Sereda theorems on the torus 1609.07020  
2016a24 Lederman, Roy R.; Singer, Amit A representation theory perspective on simultaneous alignment and classification 1607.03464  
2016a25 Charina, Maria; Donatelli, Marco; Romani, Lucia; Turati, Valentina Multigrid methods: grid transfer operators and subdivision schemes 1608.03524 MR3611463
2016a26 Xian, Yin; Pu, Yunchen; Gan, Zhe; Lu, Liang; Thompson, Andrew Adaptive DCTNet for audio signal classification 1612.04028 accepted by ICASSP
2016a27 Aletti, Giacomo; Moroni, Monica; Naldi, Giovanni A new nonlocal nonlinear diffusion equation for image denoising and data analysis 1707.06396  
2016a28 Ghaani Farashahi, Arash Square-integrability of multivariate metaplectic wave-packet representations   MR3622579
2016a29 Ghaani Farashahi, Arash Square-integrability of metaplectic wave-packet representations on L2(R)   MR3595232
2016a30 Pfander, Götz E.; Salanevich, Palina Robust phase retrieval algorithm for time-frequency structured measurements 1611.02540 MR3939330
2016a31 Feng, Joe-Mei; Krahmer, Felix; Saab, Rayan Quantized compressed sensing for partial random circulant matrices 1702.04711  
2016a32 Rauhut, Holger; Stojanac, Željka Tensor theta norms and low rank recovery 1505.05175  
2016a33 Walk, Philipp; Jung, Peter; Pfander, Götz E.; Hassibi, Babak Blind deconvolution with additional autocorrelations via convex programs 1701.04890  
2016a34 Feichtinger, Hans Georg; Voigtlaender, Felix From Frazier-Jawerth characterizations of Besov spaces to wavelets and decomposition spaces 1606.04924 MR3682610
2016a35 Kümmerle, Christian; Sigl, Juliane Harmonic mean iteratively reweighted least squares for low-rank matrix recovery 1703.05038 MR3874155
2016a36 Sandbichler, Michael; Schnass, Karin Sequential learning of analysis operators 1704.00227  
2016a37 Krahmer, Felix; Kruschel, Christian; Sandbichler, Michael Total variation minimization in compressed sensing 1704.02105 MR3751743
2016a38 Jung, Peter; Krahmer, Felix; Stöger, Dominik Blind demixing and deconvolution at near-optimal rate 1704.04178 MR3762587
2016a39 King, Emily J.; Murphy, James M. A theoretical guarantee for data completion via geometric separation 1705.10745  
2016a40 Gröchenig, Karlheinz; Rottensteiner, David Orthonormal bases in the orbit of square-integrable representations of nilpotent Lie groups 1706.06034 MR3864505
2016a41 Mendelson, Shahar; Rauhut, Holger; Ward, Rachel Improved bounds for sparse recovery from subsampled random convolutions 1610.04983 MR3861818

Participants

Name
Affiliation
Luis Daniel Abreu Austrian Academy of Sciences
Ben Adcock Simon Fraser University
Giacomo Albi Technische Universität München
Akram Aldroubi Vanderbilt University
Radu Balan University of Maryland
Afonso Bandeira Massachusetts Institute of Technology
Daurenbek Bazarkhanov Institute of Mathematics & Math Modeling
Davide Bianchi Università degli Studi dell'Insubria
Holger Boche Technische Universität München
Mattia Bongini Technische Universität München
Jean-Luc Bouchot RWTH Aachen University
Jean-Luc Bouchot RWTH Aachen University
Claire Boyer Institut de Mathématiques de Toulouse (IMT)
Björn Bringmann Technische Universität München
Simone Brugiapaglia Politecnico di Milano
Tatiana Alessandra Bubba University of Ferrara
Alessandro Buccini Università degli Studi dell'Insubria
Aurelien Bustin Technische Universität München
Helmut Bölcskei ETH Zurich
Diana Carbajal University of Buenos Aires
Enrico Cecini Università degli Studi di Genova
Maria Charina University of Vienna
Yutong Chen Princeton University
Antonio Cicone Università degli Studi dell'Aquila
Alexander Cloninger Yale University
Albert Cohen Université Pierre et Marie Curie
Augustin Cosse University of Chicago
Stephan Dahlke Philipps-Universität Marburg
Christine De Mol Université Libre de Bruxelles
Lars Diening Universität Osnabrück
Sjoerd Dirksen RWTH Aachen University
Sjoerd Dirksen RWTH Aachen University
Marco Donatelli University of Insubria
Hans Georg Feichtinger University of Vienna
Jonathan Fell RWTH Aachen University
Jonathan Fell RWTH Aachen University
Joe-Mei Feng Technische Universität München
Massimo Fornasier Technische Universität München
Simon Foucart University of Georgia
Martin Genzel Technische Universität Berlin
Arash Ghaani Farashahi University of Vienna
Ilaria Giulini INRIA Saclay
Rémi Gribonval IRISA
Philipp Grohs ETH Zurich
David Gross University of Cologne
Karlheinz Gröchenig Universität Wien
Karlheinz Gröchenig Universität Wien
Markus Hansen Technische Universität München
Jeff Hogan University of Newcastle
Thang Huynh New York University
Mark Iwen Michigan State University
Mads Sielemann Jakobsen Technical University of Denmark
David James University of Göttingen
Bangti Jin University College London
Hans Christian Jung RWTH Aachen
Peter Jung Technische Universität Berlin
Dominik Jüstel Technische Universität München
Maryia Kabanava RWTH Aachen University
Illia Karabash University of Lübeck
Michael Kech Technische Universität München
Sandra Keiper Technische Universität Berlin
Pavel Kharyuk Lomonosov Moscow State University
Eunji Kim Ulsan National Institute of Science and Technology (UNIST)
Emily King Universität Bremen
Anton Kolleck Technische Universität Berlin
Felix Krahmer Technische Universität München
Sara Krause-Solberg TU München
Gitta Kutyniok Technische Universität Berlin
Christian Kümmerle Technische Universität München
Richard Küng Universität zu Köln
Roy R. Lederman Princeton University
Wenjing Liao Duke University
Shuyang Ling University of California, Davis
Franz Luef Norwegian University of Science and Technology
Mauro Maggioni Duke University
Johannes Maly TU München
Shahar Mendelson Technion
James Murphy University of Maryland / Duke University
Giovanni Naldi Università degli studi di Milano
Valeriya Naumova Simula Research Laboratory AS
Tom Needham University of Georgia
Ivan Oseledets Skolkovo Institute of Science and Technology
Benoît Pairet Université Catholique de Louvain
Alain Pajor University of Paris-Est Marne la Vallée
Grigorios Paouris Texas A&M University
Gabriel Peyré Ceremade, Université Paris-Dauphine
Götz Pfander Jacobs University
Maksim Rakhuba Moscow Institute of Physics and Technology
Holger Rauhut RWTH Aachen
Rafael Reisenhofer University of Bremen
Lorenzo Rosasco University of Genova and Massachusetts Institute of Technology
Rayan Saab University of California, San Diego
Palina Salanevich Jacobs University Bremen
Michael Sandbichler University of Innsbruck
Karin Schnass University of Innsbruck
Juliane Sigl Technische Universität München
Mahdi Soltanolkotabi University of Southern California
Suvrit Sra Massachusetts Institute of Technology
Gabriele Steidl TU Kaiserslautern
Zeljka Stojanac RWTH Aachen University
Alexander Stollenwerk RWTH Aachen University
Thomas Strohmer UC Davis
Joachim Stöckler Technische Universität Dortmund
Dominik Stöger TU München
Ezra Tampubolon Technische Universität München
Vladimir Temlyakov University of South Carolina
Ulrich Terstiege RWTH Aachen University
Sergey Tikhonov ICREA and Centre de Recerca Matemàtica
Bruno Torresani Aix-Marseille Université
Joel Tropp Caltech
Ville Turunen Aalto University
Frank Vallentin Universität zu Köln
Ivan Veselic TU Chemnitz
Jan Vybiral Charles University
Philipp Walk California Institute of Technology
Rachel Ward University of Texas at Austin
Ke Wei University of California, Davis
Yin Xian Duke University
Dongmian Zou University of Maryland, College Park

This list does not include people who only participate in workshops.

Poster TP_2016_01.jpg
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