Institution ::

Mathematisches Institut für Maschinelles Lernen und Data Science (MIDS)

2024

• 

  

  Amelung, Wulf ; Tang, Ni ; Siebers, Nina ; Aehnelt, Michaela ; Eusterhues, Karin ; Felde, Vincent ; Guggenberger, Georg ; Kaiser, Klaus ; Kögel-Knabner, Ingrid ; Klumpp, Erwin ; Knief, Claudia ; Kruse, Jens ; Lehndorff, Eva ; Mikutta, Robert ; Peth, Stephan ; Ray, Nadja ; Prechtel, Alexander ; Ritschel, Thomas ; Schweizer, Steffen A.:
  Architecture of soil microaggregates: Advancedmethodologies to explore properties and functions.
  In: Journal of plant nutrition and soil science = Zeitschrift für Pflanzenernährung und Bodenkunde. 187 (2024) 1. - S. 17-50.
  ISSN 1522-2624
  10.1002/jpln.202300149
  (Peer-Review-Journal)
• 

  

  Caragea, Andrei:
  Balian-Low phenomena, exponential bases and neural network approximation.
  Eichstätt, 2024. - 203, 14 S.
  10.17904/ku.opus-908
  (Dissertation, 2023, Katholische Universität Eichstätt-Ingolstadt)
• 

  

  Kutsenko, Anton:
  Complete Left Tail Asymptotic for the Density of Branching Processes in the Schröder Case.
  In: The journal of Fourier analysis and applications. 30 (2024): 39. - 12 S.
  ISSN 1069-5869 ; 1531-5851
  10.1007/s00041-024-10096-w
  (Peer-Review-Journal)
• 

  Kümmerle, Christian ; Stöger, Dominik:
  Linear Convergence of Iteratively Reweighted Least Squares for Nuclear Norm Minimization.
  In: 2024 IEEE 13rd Sensor Array and Multichannel Signal Processing Workshop (SAM). - Corvallis, OR, USA : IEEE, 2024
  ISBN 979-8-3503-4481-3 ; 979-8-3503-4482-0
  10.1109/SAM60225.2024.10636588
  (Begutachteter Beitrag / peer-reviewed paper)
• 

  

  Gärttner, Stephan ; Knabner, Peter ; Ray, Nadja:
  Local existence of strong solutions to micro–macro models for reactive transport in evolving porous media.
  In: European journal of applied mathematics. 35 (2024) 1. - S. 127-154.
  ISSN 0956-7925 ; 1469-4425
  10.1017/S095679252300013X
  (Peer-Review-Journal)
• 

  

  Filbir, Frank ; Hielscher, Ralf ; Jahn, Thomas ; Ullrich, Tino:
  Marcinkiewicz–Zygmund inequalities for scattered and random data on the q-sphere.
  In: Applied and computational harmonic analysis. 71 (2024): 101651. - 18 S.
  ISSN 1063-5203 ; 1096-603x
  10.1016/j.acha.2024.101651
  (Peer-Review-Journal)
• 

  

  Guella, Jean Carlo ; Jäger, Janin:
  Strictly positive definite non-isotropic kernels on two-point homogeneous manifolds : the asymptotic approach.
  In: Positivity. 28 (2024): 4. - 14 S.
  ISSN 1385-1292 ; 1572-9281
  10.1007/s11117-023-01022-3
  (Peer-Review-Journal)

2023

• 

  

  Koppensteiner, Sarah ; Van Velthoven, Jordy Timo ; Voigtlaender, Felix:
  Anisotropic Triebel–Lizorkin spaces and wavelet coefficient decay over one-parameter dilation groups, I.
  In: Monatshefte für Mathematik. 201 (2023). - S. 375-429.
  ISSN 0026-9255 ; 1436-5081
  10.1007/s00605-023-01827-0
  (Peer-Review-Journal)
• 

  

  Koppensteiner, Sarah ; Van Velthoven, Jordy Timo ; Voigtlaender, Felix:
  Anisotropic Triebel–Lizorkin spaces and wavelet coefficient decay over one-parameter dilation groups, II.
  In: Monatshefte für Mathematik. 201 (2023). - S. 431-464.
  ISSN 0026-9255 ; 1436-5081
  10.1007/s00605-023-01824-3
  (Peer-Review-Journal)
• 

  

  Kutsenko, Anton:
  Approximation of the Number of Descendants in Branching Processes.
  In: Journal of statistical physics. 190 (2023) 3: 68.
  ISSN 1572-9613 ; 0022-4715
  10.1007/s10955-023-03079-6
  (Peer-Review-Journal)
• 

  

  Caragea, Andrei ; Lee, Dae Gwan ; Philipp, Friedrich ; Voigtlaender, Felix:
  A Balian–Low type theorem for Gabor Riesz sequences of arbitrary density.
  In: Mathematische Zeitschrift. 303 (2023) 2: 48. - 23 S.
  ISSN 1432-1823 ; 0025-5874
  10.1007/s00209-022-03182-6
  (Peer-Review-Journal)
• 

  

  Chouksey, Manita ; Eden, Carsten ; Masur, Gökce Tuba ; Oliver, Marcel:
  A comparison of methods to balance geophysical flows.
  In: Journal of fluid mechanics. 971 (2023). - 19 S.
  ISSN 0022-1120 ; 1469-7645
  10.1017/jfm.2023.602
  (Peer-Review-Journal)
• 

  

  Janjić, Tijana ; Lukáčová-Medviďová, Maria ; Ruckstuhl, Yvonne ; Wiebe, Bettina:
  Comparison of uncertainty quantification methods for cloud simulation.
  In: Quarterly journal of the Royal Meteorological Society. 149 (2023) 756. - S. 2895-2910.
  ISSN 1477-870x ; 0035-9009
  10.1002/qj.4537
  (Peer-Review-Journal)
• 

  Darbenas, Zymantas ; van der Hout, Rein ; Oliver, Marcel:
  Conditional uniqueness of solutions to the Keller–Rubinow model for Liesegang rings in the fast reaction limit.
  In: Journal of differential equations. 347 (2023). - S. 212-245.
  ISSN 1090-2732 ; 0022-0396
  10.1016/j.jde.2022.11.038
  (Peer-Review-Journal)
• 

  

  Gärttner, Stephan ; Alpak, Faruk O. ; Meier, Andreas ; Ray, Nadja ; Frank, Florian:
  Estimating permeability of 3D micro-CT images by physics-informed CNNs based on DNS.
  In: Computational geosciences : modeling, simulation and data analysis. 27 (2023). - S. 245-262.
  ISSN 1420-0597 ; 1573-1499
  10.1007/s10596-022-10184-0
  (Peer-Review-Journal)
• 

  

  Gärttner, Stephan ; Frank, Florian ; Woller, Fabian ; Meier, Andreas ; Ray, Nadja:
  Estimating relative diffusion from 3D micro-CT images using CNNs.
  In: Artificial intelligence in geosciences. 4 (2023). - S. 199-208.
  ISSN 2666-5441
  10.1016/j.aiig.2023.11.001
  (Peer-Review-Journal)
• 

  

  Abreu, Daniel Luìs ; Mouayn, Zouhair ; Voigtlaender, Felix:
  A fractal uncertainty principle for Bergman spaces and analytic wavelets.
  In: Journal of mathematical analysis and applications. 519 (2023) 1: 126699.
  ISSN 0022-247x ; 1096-0813
  10.1016/j.jmaa.2022.126699
  (Peer-Review-Journal)
• 

  

  Soltanolkotabi, Mahdi ; Stöger, Dominik ; Xie, Changzhi:
  Implicit Balancing and Regularization : Generalization and Convergence Guarantees for Overparameterized Asymmetric Matrix Sensing.
  In: Proceedings of Machine Learning Research. 195 (2023). - S. 5140-5142.
  ISSN 2640-3498
  (Peer-Review-Journal)
• 

  

  Schulz, Raphael ; Gärttner, Stephan ; Ray, Nadja:
  Investigations of effective dispersion models for electroosmotic flow with rigid and free boundaries in a thin strip.
  In: Mathematical methods in the applied sciences. 47 (2023) 1. - S. 206-228.
  ISSN 1099-1476 ; 0170-4214
  10.1002/mma.9651
  (Peer-Review-Journal)
• 

  Cheng, Sibo ; Quilodrán-Casas, César ; Ouala, Said ; Farchi, Alban ; Liu, Che ; Tandeo, Pierre ; Fablet, Ronan ; Lucor, Didier ; Iooss, Bertrand ; Brajard, Julien ; Xiao, Dunhui ; Janjić, Tijana ; Ding, Weiping ; Guo, Yike ; Carrassi, Alberto ; Bocquet, Marc ; Arcucci, Rossella:
  Machine Learning with Data Assimilation and Uncertainty Quantification for Dynamical Systems : a Review.
  In: IEEE/CAA Journal of Automatica Sinica. 10 (2023) 6. - S. 1361-1387.
  ISSN 2329-9266
  10.1109/JAS.2023.123537
  (Peer-Review-Journal)
• 

  Doß, Martin ; Ray, Nadja ; Bänsch, Eberhard:
  Modeling and simulation of single droplet drying in an acoustic levitator.
  In: Drying technology : an international journal. 41 (2023) 13. - S. 2088-2104.
  ISSN 1532-2300 ; 0737-3937
  10.1080/07373937.2023.2218162
  (Peer-Review-Journal)
• 

  Kutsenko, Anton:
  A note on exotic integrals.
  In: Proceedings of the American Mathematical Society. 151 (2023) 4. - S. 1697-1703.
  ISSN 0002-9939 ; 1088-6826
  10.1090/proc/16279
  (Peer-Review-Journal)
• 

  

  Lee, Dae Gwan ; Philipp, Friedrich ; Voigtlaender, Felix:
  A Note on the Invertibility of the Gabor Frame Operator on Certain Modulation Spaces.
  In: The journal of Fourier analysis and applications. 29 (2023): 3.
  ISSN 1069-5869 ; 1531-5851
  10.1007/s00041-022-09980-0
  (Peer-Review-Journal)
• 

  

  Rötzer, Maximilian ; Prechtel, Alexander ; Ray, Nadja:
  Pore scale modeling of the mutual influence of roots and soil aggregation in the rhizosphere.
  In: Frontiers in soil science. 3 (2023). - 16 S.
  ISSN 2673-8619
  10.3389/fsoil.2023.1155889
  (Peer-Review-Journal)
• 

  

  Prifling, Benedikt ; Weber, Matthias ; Ray, Nadja ; Prechtel, Alexander ; Phalempin, Maxime ; Schlüter, Steffen ; Vetterlein, Doris ; Schmidt, Volker:
  Quantifying the Impact of 3D Pore Space Morphology on Soil Gas Diffusion in Loam and Sand.
  In: Transport in porous media : TIPM. 149 (2023). - S. 501-527.
  ISSN 1573-1634 ; 0169-3913
  10.1007/s11242-023-01971-z
  (Peer-Review-Journal)
• 

  Masur, Gökce Tuba ; Mohamad, Haidar ; Oliver, Marcel:
  Quasi-Convergence of an Implementation of Optimal Balance by Backward-Forward Nudging.
  In: Multiscale modeling & simulation. 21 (2023) 2. - S. 624-640.
  ISSN 1540-3467 ; 1540-3459
  10.1137/22M1506018
  (Peer-Review-Journal)
• 

  Lee, Kiryung ; Stöger, Dominik:
  Randomly Initialized Alternating Least Squares : Fast Convergence for Matrix Sensing.
  In: SIAM Journal on Mathematics of Data Science. 5 (2023) 3. - S. 774-799.
  ISSN 2577-0187
  10.1137/22M1506456
  (Peer-Review-Journal)
• 

  Ma, Anna ; Stöger, Dominik ; Zhu, Yizhe:
  Robust Recovery of Low-Rank Matrices and Low-Tubal-Rank Tensors from Noisy Sketches.
  In: SIAM journal on matrix analysis and applications / Society for Industrial and Applied Mathematics, SIAM. 44 (2023) 4. - S. 1566-1588.
  ISSN 1095-7162
  10.1137/22M150071X
  (Peer-Review-Journal)
• 

  Jahn, Thomas ; Ullrich, Tino ; Voigtlaender, Felix:
  Sampling numbers of smoothness classes via ℓ1-minimization.
  In: Journal of complexity. 79 (2023): 101786. - 35 S.
  ISSN 0885-064x
  10.1016/j.jco.2023.101786
  (Peer-Review-Journal)
• 

  

  Juricke, Stephan ; Bellinghausen, Kai ; Danilov, Sergey ; Kutsenko, Anton ; Oliver, Marcel:
  Scale Analysis on Unstructured Grids : Kinetic Energy and Dissipation Power Spectra on Triangular Meshes.
  In: Journal of advances in modeling earth systems. 15 (2023) 1. - 20 S.
  ISSN 1942-2466
  10.1029/2022MS003280
  (Peer-Review-Journal)
• 

  

  Jung, Hyunju ; Knippertz, Peter ; Ruckstuhl, Yvonne ; Redl, Robert ; Janjić, Tijana ; Hoose, Corinna:
  Understanding the dependence of mean precipitation on convective treatment and horizontal resolution in tropical aquachannel experiments.
  In: Weather and climate dynamics : an interactive open-access journal of the European. 4 (2023) 4. - S. 1111-1134.
  ISSN 2698-4016 ; 2698-4008
  10.5194/wcd-4-1111-2023
  (Peer-Review-Journal)
• 

  Voigtlaender, Felix:
  The universal approximation theorem for complex-valued neural networks.
  In: Applied and computational harmonic analysis. 64 (2023). - S. 33-61.
  ISSN 1063-5203 ; 1096-603x
  10.1016/j.acha.2022.12.002
  (Peer-Review-Journal)

2022

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  Gleiter, Tabea ; Janjić, Tijana ; Chen, Nan:
  Ensemble Kalman Filter based Data Assimilation for Tropical Waves in the MJO Skeleton Model.
  In: Quarterly journal of the Royal Meteorological Society. (11. Januar 2022). - 29 S.
  ISSN 1477-870x ; 0035-9009
  10.1002/qj.4245
  (Peer-Review-Journal)
• 

  

  Gribonval, Rémi ; Kutyniok, Gitta ; Nielsen, Morten ; Voigtlaender, Felix:
  Approximation Spaces of Deep Neural Networks.
  In: Constructive approximation. 55 (2022). - S. 259-367.
  ISSN 0176-4276 ; 1432-0940
  10.1007/s00365-021-09543-4
  (Peer-Review-Journal)
• 

  Lee, Dae Gwan ; Pfander, Götz E. ; Walnut, David:
  Bases of complex exponentials with restricted supports.
  In: Journal of mathematical analysis and applications. 521 (2022) 2: 126917.
  ISSN 0022-247x ; 1096-0813
  10.1016/j.jmaa.2022.126917
  (Peer-Review-Journal)
• 

  

  Van Velthoven, Jordy Timo ; Voigtlaender, Felix:
  Coorbit spaces and dual molecules : The quasi-Banach case.
  2022. - 61 S.
  arXiv:2203.07959
• 

  

  Romero, José Luis ; Van Velthoven, Jordy Timo ; Voigtlaender, Felix:
  Invertibility of Frame Operators on Besov-Type Decomposition Spaces.
  In: The journal of geometric analysis. 32 (2022) 5: 149.
  ISSN 1559-002x ; 1050-6926
  10.1007/s12220-022-00887-2
  (Peer-Review-Journal)
• 

  Darbenas, Zymantas ; van der Hout, Rein ; Oliver, Marcel:
  Long-time asymptotics of solutions to the Keller–Rubinow model for Liesegang rings in the fast reaction limit.
  In: Annales de l'Institut Henri Poincaré. C, Nonlinear analysis. 39 (2022) 6. - S. 1413-1458. - 46 S.
  ISSN 1873-1430 ; 0294-1449
  10.4171/AIHPC/34
  (Peer-Review-Journal)
• 

  

  Caragea, Andrei ; Petersen, Philipp ; Voigtlaender, Felix:
  Neural network approximation and estimation of classifiers with classification boundary in a Barron class.
  2022. - 42 S.
  arXiv:2011.09363
• 

  

  Caragea, Andrei ; Lee, Dae Gwan:
  A note on exponential Riesz bases.
  In: Sampling theory, signal processing, and data analysis. 20 (2022): 13. - 14 S.
  ISSN 2730-5724 ; 2730-5716
  10.1007/s43670-022-00031-9
• 

  

  Fuchs, Tim ; Gross, David ; Jung, Peter ; Krahmer, Felix ; Kueng, Richard ; Stöger, Dominik:
  Proof Methods for Robust Low-Rank Matrix Recovery.
  In: Kutyniok, Gitta ; Rauhut, Holger ; Kunsch, Robert J. (Hrsg.): Compressed Sensing in Information Processing. - Cham : Birkhäuser, 2022. - S. 37-75. - (Applied and Numerical Harmonic Analysis)
  ISBN 978-3-031-09744-7
  ISSN 2296-5009
  10.1007/978-3-031-09745-4_2
  (Begutachteter Beitrag / peer-reviewed paper)
• 

  Caragea, Andrei ; Lee, Dae Gwan ; Maly, Johannes ; Pfander, Götz E. ; Voigtlaender, Felix:
  Quantitative approximation results for complex-valued neural networks.
  In: SIAM Journal on Mathematics of Data Science. 4 (2022) 2. - S. 553-580.
  ISSN 2577-0187
  0.1137/21M1429540
  (Peer-Review-Journal)
• 

  

  Schulz, Raphael:
  Uniqueness of Degenerating Solutions to a Diffusion-Precipitation Model for Clogging Porous Media.
  In: Mathematical modelling and analysis. 27 (2022) 3. - S. 471-491.
  ISSN 1648-3510 ; 1392-6292
  10.3846/mma.2022.15132
  (Peer-Review-Journal)

2021

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  Legler, Stefanie ; Janjić, Tijana:
  Combining data assimilation and machine learning to estimate parameters of a convective-scale model.
  In: Quarterly journal of the Royal Meteorological Society. (20. Dezember 2021). - 15 S.
  ISSN 1477-870x ; 0035-9009
  10.1002/qj.4235
  (Peer-Review-Journal)
• 

  

  Grohs, Philipp ; Klotz, Andreas ; Voigtlaender, Felix:
  Phase Transitions in Rate Distortion Theory and Deep Learning.
  In: Foundations of computational mathematics. (16. November 2021). - 64 S.
  ISSN 1615-3375 ; 1615-3383
  10.1007/s10208-021-09546-4
  (Peer-Review-Journal)
• 

  

  Koppensteiner, Sarah ; Van Velthoven, Jordy Timo ; Voigtlaender, Felix:
  Anisotropic Triebel-Lizorkin spaces and wavelet coefficient decay over one-parameter dilation groups.
  2021. - 40 S.
  arXiv:2104.14361
• 

  

  Zeng, Yuefei ; de Lozar, Alberto ; Janjić, Tijana ; Seifert, Axel:
  Applying a new integrated mass-flux adjustment filter in rapid update cycling of convective-scale data assimilation for the COSMO model.
  In: Geoscientific model development. 14 (2021) 3. - S. 1295-1307.
  ISSN 1991-9603 ; 1991-959x
  10.5194/gmd-14-1295-2021
  (Peer-Review-Journal)
• 

  Zeng, Yuefei ; Janjić, Tijana ; de Lozar, Alberto ; Welzbacher, Christian A. ; Blahak, Ulrich ; Seifert, Axel:
  Assimilating radar radial wind and reflectivity data in an idealized setup of the COSMO-KENDA system.
  In: Atmospheric research. 249 (2021): 105282.
  ISSN 0169-8095
  10.1016/j.atmosres.2020.105282
  (Peer-Review-Journal)
• 

  

  Darbenas, Zymantas ; Oliver, Marcel:
  Breakdown of Liesegang precipitation bands in a simplified fast reaction limit of the Keller–Rubinow model.
  In: Nonlinear differential equations and applications. 28 (2021): 4. - 34 S.
  ISSN 1420-9004 ; 1021-9722
  10.1007/s00030-020-00663-7
  (Peer-Review-Journal)
• 

  

  Janjić, Tijana ; Ruckstuhl, Yvonne ; Toint, Philippe L.:
  A data assimilation algorithm for predicting rain.
  In: Quarterly journal of the Royal Meteorological Society. 147 (2021) 736. - S. 1949-1963.
  ISSN 1477-870x ; 0035-9009
  10.1002/qj.4004
  (Peer-Review-Journal)
• 

  

  Voigtlaender, Felix:
  A General Version of Price’s Theorem.
  In: Journal of theoretical probability. 34 (2021). - S. 1474-1485.
  ISSN 0894-9840 ; 1572-9230
  10.1007/s10959-020-01017-w
  (Peer-Review-Journal)
• 

  

  Zeng, Yuefei ; Janjić, Tijana ; Feng, Yuxuan ; Blahak, Ulrich ; de Lozar, Alberto ; Bauernschubert, Elisabeth ; Stephan, Klaus ; Min, Jinzhong:
  Interpreting estimated observation error statistics of weather radar measurements using the ICON-LAM-KENDA system.
  In: Atmospheric measurement techniques. 14 (2021) 8. - S. 5735-5756.
  ISSN 1867-8548 ; 1867-1381
  10.5194/amt-14-5735-2021
  (Peer-Review-Journal)
• 

  

  Kümmerle, Christian ; Mayrink Verdun, Claudio ; Stöger, Dominik:
  Iteratively Reweighted Least Squares for Basis Pursuit with Global Linear Convergence Rate.
  In: Advances in Neural Information Processing Systems 34 (NeurIPS 2021). - 2021
  (Begutachteter Beitrag / peer-reviewed paper)
• 

  

  Almira, J. M. ; Lopez-de-Teruel, P. E. ; Romero-Lopez, D. J. ; Voigtlaender, Felix:
  Negative results for approximation using single layer and multilayer feedforward neural networks.
  In: Journal of mathematical analysis and applications. 494 (2021) 1: 124584.
  ISSN 0022-247x ; 1096-0813
  10.1016/j.jmaa.2020.124584
  (Peer-Review-Journal)
• 

  

  Lee, Dae Gwan ; Philipp, Friedrich ; Voigtlaender, Felix:
  A note on the invertibility of the Gabor frame operator on certain modulation spaces.
  2021. - 17 S.
  arXiv:2106.02365
• 

  Mohamad, Haidar ; Oliver, Marcel:
  Numerical Integration of Functions of a Rapidly Rotating Phase.
  In: SIAM journal on numerical analysis. 59 (2021) 4. - S. 2310-2319.
  ISSN 0036-1429 ; 1095-7170
  10.1137/19M128658X
  (Peer-Review-Journal)
• 

  

  Romero, José Luis ; Van Velthoven, Jordy Timo ; Voigtlaender, Felix:
  On dual molecules and convolution-dominated operators.
  In: Journal of functional analysis. 280 (2021) 10: 108963.
  ISSN 0022-1236 ; 1096-0783
  10.1016/j.jfa.2021.108963
  (Peer-Review-Journal)
• 

  

  Voigtlaender, Felix ; Petersen, Philipp:
  Optimal learning of high-dimensional classification problems using deep neural networks.
  2021. - 41 S.
  arXiv:2112.12555
• 

  

  Trömel, Silke ; Simmer, Clemens ; Blahak, Ulrich ; Blanke, Armin ; Ewald, Florian ; Frech, Michael ; Gergely, Mathias ; Hagen, Martin ; Hörnig, Sabine ; Janjić, Tijana ; Kalesse, Heike ; Kneifel, Stefan ; Knote, Christoph ; Mendrok, Jana ; Moser, Manuel ; Möller, Gregor ; Mühlbauer, Kai ; Myagkov, Alexander ; Pejcic, Velibor ; Seifert, Patric ; Shrestha, Prabhakar ; Teisseire, Audrey ; von Terzi, Leonie ; Tetoni, Eleni ; Vogl, Teresa ; Voigt, Christiane ; Zeng, Yuefei ; Zinner, Tobias ; Quaas, Johannes:
  Overview: Fusion of Radar Polarimetry and Numerical Atmospheric Modelling Towards an Improved Understanding of Cloud and Precipitation Processes.
  In: Atmospheric chemistry and physics. 21 (2021) 23. - S. 17291-17314.
  ISSN 1680-7324 ; 1680-7316
  10.5194/acp-21-17291-2021
  (Peer-Review-Journal)
• 

  

  Grohs, Philipp ; Voigtlaender, Felix:
  Proof of the Theory-to-Practice Gap in Deep Learning via Sampling Complexity bounds for Neural Network Approximation Spaces.
  2021. - 42 S.
  arXiv:2104.02746
• 

  

  Caragea, Andrei ; Lee, Dae Gwan ; Maly, Johannes ; Pfander, Götz E.:
  Quantitative approximation results for complex-valued neural networks.
  Eichstätt : arXiv, 2021. - 19 S.
  arxiv:2102.13092
• 

  Caragea, Andrei ; Lee, Dae Gwan ; Philipp, Friedrich ; Voigtlaender, Felix:
  A quantitative subspace Balian-Low theorem.
  In: Applied and computational harmonic analysis. 55 (2021). - S. 368-404.
  ISSN 1063-5203 ; 1096-603x
  10.1016/j.acha.2021.06.005
  (Peer-Review-Journal)
• 

  

  Feng, Yuxuan ; Janjić, Tijana ; Zeng, Yuefei ; Seifert, Axel ; Min, Jinzhong:
  Representing Microphysical Uncertainty in Convective-scale Data Assimilation using Additive Noise.
  In: Journal of advances in modeling earth systems. 13 (2021) 10: e2021MS002606. - 21 S.
  ISSN 1942-2466
  10.1029/2021MS002606
  (Peer-Review-Journal)
• 

  

  Holighaus, Nicki ; Voigtlaender, Felix:
  Schur-type Banach modules of integral kernels acting on mixed-norm Lebesgue spaces.
  In: Journal of functional analysis. 281 (2021) 9: 109197.
  ISSN 0022-1236 ; 1096-0783
  10.1016/j.jfa.2021.109197
  (Peer-Review-Journal)
• 

  

  Stöger, Dominik ; Soltanolkotabi, Mahdi:
  Small random initialization is akin to spectral learning : Optimization and generalization guarantees for overparameterized low-rank matrix reconstruction.
  In: Advances in Neural Information Processing Systems 34 (NeurIPS 2021). - 2021
  (Begutachteter Beitrag / peer-reviewed paper)
• 

  

  Grohs, Philipp ; Voigtlaender, Felix:
  Sobolev-type embeddings for neural network approximation spaces.
  2021. - 14 S.
  arXiv:2110.15304
• 

  

  Petersen, Philipp ; Raslan, Mones ; Voigtlaender, Felix:
  Topological properties of the set of functions generated by neural networks of fixed size.
  In: Foundations of computational mathematics. 21 (2021). - S. 375-444.
  ISSN 1615-3375 ; 1615-3383
  10.1007/s10208-020-09461-0
  (Peer-Review-Journal)
• 

  

  Ruckstuhl, Yvonne ; Janjić, Tijana ; Rasp, Stephan Rasp:
  Training a convolutional neural network to conserve mass in data assimilation.
  In: Nonlinear processes in geophysics. 28 (2021) 1. - S. 111-119.
  ISSN 1607-7946 ; 1023-5809
  10.5194/npg-28-111-2021
  (Peer-Review-Journal)
• 

  

  Balaji, Yogesh ; Sajedi, Mohammadmahdi ; Kalibhat, Neha Mukund ; Ding, Mucong ; Stöger, Dominik ; Soltanolkotabi, Mahdi ; Feizi, Soheil:
  Understanding Overparameterization in Generative Adversarial Networks.
  In: International Conference on Learning Representations 2021. - Vienna, Austria, 2021
  (Begutachteter Beitrag / peer-reviewed paper)
• 

  Özden, Gözde ; Oliver, Marcel:
  Variational balance models for the three-dimensional Euler–Boussinesq equations with full Coriolis force.
  In: Physics of fluids. 33 (2021) 7: 076606. - 15 S.
  ISSN 1089-7666 ; 1070-6631
  10.1063/5.0053092
  (Peer-Review-Journal)
• 

  

  Craig, George C. ; Fink, Andreas H. ; Hoose, Corinna ; Janjić, Tijana ; Knippertz, Peter ; Laurian, Audine ; Lerch, Sebastian ; Mayer, Bernhard ; Miltenberger, Annette ; Redl, Robert ; Riemer, Michael ; Tempes, Kirsten I. ; Wirth, Volkmar:
  Waves to Weather : Exploring the Limits of Predictability of Weather.
  In: Bulletin of the American Meteorological Society. 102 (2021) 11. - E2151-E2164 .
  ISSN 0003-0007 ; 1520-0477
  10.1175/BAMS-D-20-0035.1
  (Peer-Review-Journal)
• 

  

  Janjić, Tijana ; Zeng, Yuefei:
  Weakly constrained LETKF for estimation of hydrometeor variables in convective-scale data assimilation.
  In: Geophysical research letters. (2021).
  ISSN 1944-8007
  10.1029/2021GL094962
  (Peer-Review-Journal)

2020

• 

  

  Krahmer, Felix ; Stöger, Dominik:
  Complex phase retrieval from subgaussian measurements.
  In: The journal of Fourier analysis and applications. 26 (20. November 2020) 6: 89. - 27 S.
  ISSN 1069-5869 ; 1531-5851
  10.1007/s00041-020-09797-9
  (Peer-Review-Journal)
• 

  

  Cagnetti, Filippo ; Perugini, Matteo ; Stöger, Dominik:
  Rigidity for perimeter inequality under spherical symmetrisation.
  In: Calculus of variations and partial differential equations. 59 (4. August 2020): 139.
  ISSN 0944-2669 ; 1432-0835
  10.1007/s00526-020-01786-6
  (Peer-Review-Journal)
• 

  Lee, Dae Gwan ; Pfander, Götz E.:
  Weighted Zak transforms and the dual tiling condition.
  In: Journal of mathematical analysis and applications. 487 (15. Juli 2020) 2.
  ISSN 0022-247x ; 1096-0813
  10.1016/j.jmaa.2020.124020
  (Peer-Review-Journal)
• 

  

  Ruckstuhl, Yvonne ; Janjić, Tijana:
  Combined State-Parameter Estimation with the LETKF for Convective-Scale Weather Forecasting.
  In: Monthly weather review. 148 (2020) 4. - S. 1607-1628.
  ISSN 0027-0644 ; 1520-0493
  10.1175/MWR-D-19-0233.1
  (Peer-Review-Journal)
• 

  

  Zeng, Yuefei ; Janjić, Tijana ; de Lozar, Alberto ; Rasp, Stephan ; Blahak, Ulrich ; Seifert, Axel ; Craig, George C.:
  Comparison of Methods Accounting for Subgrid-Scale Model Error in Convective-Scale Data Assimilation.
  In: Monthly weather review. 148 (2020) 6. - S. 2457-2477.
  ISSN 0027-0644 ; 1520-0493
  10.1175/MWR-D-19-0064.1
  (Peer-Review-Journal)
• 

  

  Darbenas, Zymantas ; van der Hout, Rein ; Oliver, Marcel:
  Conditional uniqueness of solutions to the Keller-Rubinow model for Liesegang rings in the fast reaction limit.
  2020. - 29 S.
  arXiv:2011.12441
• 

  

  Bytchenkoff, Dimitri ; Voigtlaender, Felix:
  Design and properties of wave packet smoothness spaces.
  In: Journal de mathématiques pures et appliquées. 133 (2020). - S. 185-262.
  ISSN 0021-7824
  10.1016/j.matpur.2019.05.006
  (Peer-Review-Journal)
• 

  

  Petersen, Philipp ; Voigtlaender, Felix:
  Equivalence of approximation by convolutional neural networks and fully-connected networks.
  In: Proceedings of the American Mathematical Society. 148 (2020). - S. 1567-1581.
  ISSN 0002-9939 ; 1088-6826
  10.1090/proc/14789
  (Peer-Review-Journal)
• 

  

  Mohamad, Haidar ; Oliver, Marcel:
  High-order uniformly accurate time integrators for semilinear wave equations of Klein-Gordon type in the non-relativistic limit.
  2020. - 15 S.
  arXiv:2008.05227
• 

  

  Juricke, Stephan ; Danilov, Sergey ; Koldunov, Nikolay ; Oliver, Marcel ; Sein, Dmitry ; Sidorenko, Dmitry ; Wang, Qiang:
  A Kinematic Kinetic Energy Backscatter Parametrization : from Implementation to Global Ocean Simulations.
  In: Journal of advances in modeling earth systems : JAMES. 12 (2020) 12: e2020MS002175. - 20 S.
  ISSN 1942-2466
  10.1029/2020MS002175
  (Peer-Review-Journal)
• 

  

  Juricke, Stephan ; Danilov, Sergey ; Koldunov, Nikolay ; Oliver, Marcel ; Sidorenko, Dmitry:
  Ocean Kinetic Energy Backscatter Parametrization on Unstructured Grids : Impact on Global Eddy-Permitting Simulations.
  In: Journal of advances in modeling earth systems : JAMES. 12 (2020) 1: e2019MS001855. - 21 S.
  ISSN 1942-2466
  10.1029/2019MS001855
  (Peer-Review-Journal)
• 

  

  Krahmer, Felix ; Stöger, Dominik:
  On the convex geometry of blind deconvolution and matrix completion.
  In: Communications on pure and applied mathematics. 74 (2020) 4. - S. 790-832.
  ISSN 0010-3640 ; 1097-0312
  10.1002/cpa.21957
  (Peer-Review-Journal)
• 

  Akramov, Ibrokhimbek ; Oliver, Marcel:
  On the Existence of Solutions to a Bi-Planar Monge-Ampère Equation.
  In: Acta Mathematica Scientia. 40 (2020). - S. 379-388.
  ISSN 1003-3998 ; 1572-9087
  10.1007/s10473-020-0206-6
  (Peer-Review-Journal)
• 

  Masur, Gökce Tuba ; Oliver, Marcel:
  Optimal balance for rotating shallow water in primitive variables.
  In: Geophysical & astrophysical fluid dynamics. 114 (2020) 4-5. - S. 429-452.
  ISSN 1029-0419 ; 0309-1929
  10.1080/03091929.2020.1745789
  (Peer-Review-Journal)
• 

  

  Voigtlaender, Felix:
  The universal approximation theorem for complex-valued neural networks.
  2020. - 29 S.
  arXiv:2012.03351

2019

• 

  Geppert, Jakob ; Krahmer, Felix ; Stöger, Dominik:
  Sparse power factorization : balancing peakiness and sample complexity.
  In: Advances in computational mathematics. 45 (1. Juni 2019). - S. 1711-1728.
  ISSN 1019-7168 ; 1572-9044
  10.1007/s10444-019-09698-6
  (Peer-Review-Journal)
• 

  Lee, Dae Gwan ; Pfander, Götz E. ; Pohl, Volker:
  Sampling and Reconstruction of Multiple-Input Multiple-Output Channels.
  In: IEEE Transactions on Signal Processing. 67 (15. Februar 2019) 4. - S. 961-976.
  ISSN 1053-587x ; 1941-0476
  10.1109/TSP.2018.2886150
  (Peer-Review-Journal)
• 

  Voigtlaender, Felix ; Petersen, Philipp:
  Approximation in Lp(μ) with deep ReLU neural networks.
  In: Proceedings of International Conference on Sampling Theory and Applications (SampTA), Bordeaux, France, 2019. - Piscataway, NJ : IEEE, 2019
  ISBN 978-1-7281-3741-4
  10.1109/SampTA45681.2019.9030992
  (Begutachteter Beitrag / peer-reviewed paper)
• 

  

  Gribonval, Rémi ; Kutyniok, Gitta ; Nielsen, Morten ; Voigtlaender, Felix:
  Approximation spaces of deep neural networks.
  2019. - 64 S.
  arXiv:1905.01208
• 

  Caragea, Andrei ; Lee, Dae Gwan ; Pfander, Götz E. ; Philipp, Friedrich:
  A Balian-Low theorem for subspaces.
  In: The journal of Fourier analysis and applications. 25 (2019) 4. - S. 1673-1694.
  ISSN 1069-5869 ; 1531-5851
  10.1007/s00041-018-9634-2
  (Peer-Review-Journal)
• 

  Mohamad, Haidar ; Oliver, Marcel:
  A direct construction of a slow manifold for a semilinear wave equation of Klein–Gordon type.
  In: Journal of differential equations. 267 (2019) 1. - S. 1-14.
  ISSN 1090-2732 ; 0022-0396
  10.1016/j.jde.2019.01.001
  (Peer-Review-Journal)
• 

  Oliver, Marcel ; Vasylkevych, Sergiy:
  Geodesic motion on groups of diffeomorphisms with H1 metric as geometric generalised Lagrangian mean theory.
  In: Geophysical & astrophysical fluid dynamics. 113 (2019) 5-6. - S. 466-490.
  ISSN 1029-0419 ; 0309-1929
  10.1080/03091929.2019.1639697
  (Peer-Review-Journal)
• 

  Lee, Dae Gwan ; Pfander, Götz E. ; Pohl, Volker ; Zhou, Weiqi:
  Identification of channels with single and multiple inputs and outputs under linear constraints.
  In: Linear algebra and its applications. 581 (2019). - S. 435-470.
  ISSN 0024-3795
  10.1016/j.laa.2019.07.025
  (Peer-Review-Journal)
• 

  

  Romero, José Luis ; Van Velthoven, Jordy Timo ; Voigtlaender, Felix:
  Invertibility of frame operators on Besov-type decomposition spaces.
  2019. - 54 S.
  arXiv:1905.04934
• 

  

  Sureau, Florent ; Voigtlaender, Felix ; Wust, Malte ; Starck, Jean-Luc ; Kutyniok, Gitta:
  Learning sparse representations on the sphere.
  In: Astronomy & astrophysics. 621 (2019): A73. - 17 S.
  ISSN 1432-0746
  10.1051/0004-6361/201834041
  (Peer-Review-Journal)
• 

  Juricke, Stephan ; Danilov, Sergey ; Kutsenko, Anton ; Oliver, Marcel:
  Ocean kinetic energy backscatter parametrizations on unstructured grids : impact on mesoscale turbulence in a channel.
  In: Ocean modelling. 138 (2019). - S. 51-67.
  ISSN 1463-5003 ; 1463-5011
  10.1016/j.ocemod.2019.03.009
  (Peer-Review-Journal)
• 

  Dahlke, Stefan ; De Mari, Filippo ; De Vito, Ernesto ; Sawatzki, Lukas ; Steidl, Gabriele ; Teschke, Gerd ; Voigtlaender, Felix:
  On the Atomic Decomposition of Coorbit Spaces with Non-Integrable Kernel.
  In: Boggiatto, Paolo ; Cordero, Elena ; de Gosson, Maurice ; Feichtinger, Hans. G ; Nicola, Fabio ; Oliaro, Alessandro ; Tabacco, Anita (Hrsg.): Landscapes of Time-Frequency Analysis. - Basel : Birkhäuser, 2019. - S. 75-144. - (Applied and Numerical Harmonic Analysis)
  ISBN 978-3-030-05209-6
  10.1007/978-3-030-05210-2_4
  (Begutachteter Beitrag / peer-reviewed paper)
• 

  Caragea, Andrei ; Lee, Dae Gwan ; Philipp, Friedrich ; Voigtlaender, Felix:
  A quantitative Balian-Low theorem for subspaces.
  In: Proceedings of International Conference on Sampling Theory and Applications (SampTA), Bordeaux, France, 2019. - Piscataway, NJ : IEEE, 2019
  ISBN 978-1-7281-3741-4
  10.1109/SampTA45681.2019.9030951
  (Begutachteter Beitrag / peer-reviewed paper)
• 

  

  Caragea, Andrei ; Lee, Dae Gwan ; Philipp, Friedrich ; Voigtlaender, Felix:
  A quantitative subspace Balian-Low theorem.
  2019. - 38 S.
  10.48550/arXiv.1904.12250
• 

  

  Zeng, Yuefei ; Janjić, Tijana ; Sommer, Matthias ; de Lozar, Alberto ; Blahak, Ulrich ; Seifert, Axel:
  Representation of Model Error in Convective-Scale Data Assimilation : Additive Noise Based on Model Truncation Error.
  In: Journal of advances in modeling earth systems. 11 (2019) 3. - S. 752-770.
  ISSN 1942-2466
  10.1029/2018MS001546
  (Peer-Review-Journal)
• 

  Walnut, David ; Pfander, Götz E. ; Revay, Shauna:
  Riesz bases of exponentials for partitions of intervals.
  In: Proceedings of 13th International conference on Sampling Theory and Applications (SampTA). - Bordeaux : IEEE, 2019
  ISBN 978-1-7281-3741-4 ; 978-1-7281-3740-7
  10.1109/SampTA45681.2019.9030949
  (Begutachteter Beitrag / peer-reviewed paper)
• 

  

  Pfander, Götz E. ; Salanevich, Palina:
  Robust Phase Retrieval Algorithm for Time-Frequency Structured Measurements.
  In: SIAM journal on imaging sciences. 12 (2019) 2. - S. 736-761.
  ISSN 1936-4954
  10.1137/18M1205522
  (Peer-Review-Journal)
• 

  Lee, Dae Gwan ; Pfander, Götz E. ; Pohl, Volker:
  Signal transmission through an unidentified channel.
  In: Proceedings of 13th International conference on Sampling Theory and Applications (SampTA). - Bordeaux : IEEE, 2019
  ISBN 978-1-7281-3741-4 ; 978-1-7281-3741-4
  10.1109/SampTA45681.2019
  (Begutachteter Beitrag / peer-reviewed paper)
• 

  Petersen, Philipp ; Raslan, Mones ; Voigtlaender, Felix:
  The structure of spaces of neural network functions.
  In: Proceedings of the conference SPIE 11138, Wavelets and Sparsity XVIII, 2019, San Diego, California, United States. - s.l. : SPIE, 2019
  10.1117/12.2528313
  (Begutachteter Beitrag / peer-reviewed paper)
• 

  

  Caragea, Andrei ; Lee, Dae Gwan ; Philipp, Friedrich ; Voigtlaender, Felix:
  Time-Frequency Shift Invariance of Gabor Spaces.
  In: Proceedings of International Conference on Sampling Theory and Applications (SampTA), Bordeaux, France, 2019. - Piscataway, NJ : IEEE, 2019
  ISBN 978-1-7281-3741-4
  10.1109/SampTA45681.2019.9030919
  (Begutachteter Beitrag / peer-reviewed paper)
• 

  Cabrelli, Carlos ; Lee, Dae Gwan ; Molter, Ursula ; Pfander, Götz E.:
  Time-frequency shift invariance of Gabor spaces generated by integer lattices.
  In: Journal of mathematical analysis and applications. 474 (2019) 2. - S. 1289-1305.
  ISSN 0022-247x ; 1096-0813
  arXiv:1705.02495 [math.CA]
  (Peer-Review-Journal)
• 

  

  Caragea, Andrei ; Lee, Dae Gwan ; Philipp, Friedrich ; Voigtlaender, Felix:
  Time-frequency shift invariance of Gabor spaces with an S0-generator.
  2019. - 15 S.
  arXiv:1904.12345
• 

  Danilov, Sergey ; Juricke, Stephan ; Kutsenko, Anton ; Oliver, Marcel:
  Toward Consistent Subgrid Momentum Closures in Ocean Models.
  In: Eden, Carsten ; Iske, Armin (Hrsg.): Energy Transfers in Atmosphere and Ocean. - Cham, Switzerland : Springer, 2019. - S. 145-192. - (Mathematics of Planet Earth ; 1)
  ISBN 978-3-030-05704-6 ; 978-3-030-05703-9
  ISSN 2524-4272
  10.1007/978-3-030-05704-6_5
• 

  Petersen, Philipp ; Raslan, Mones ; Voigtlaender, Felix:
  Unfavorable structural properties of the set of neural networks with fixed architecture.
  In: Proceedings of International Conference on Sampling Theory and Applications (SampTA), Bordeaux, France, 2019. - Piscataway, NJ : IEEE, 2019
  ISBN 978-1-7281-3741-4
  10.1109/SampTA45681.2019.9030975
  (Begutachteter Beitrag / peer-reviewed paper)
• 

  Darbenas, Zymantas ; Oliver, Marcel:
  Uniqueness of solutions for weakly degenerate cordial Volterra integral equations.
  In: Journal of integral equations and applications. 31 (2019) 3. - S. 307-327.
  ISSN 1938-2626 ; 0897-3962
  10.1216/JIE-2019-31-3-307
  (Peer-Review-Journal)

2018

• 

  Petersen, Philipp ; Voigtlaender, Felix:
  Optimal approximation of piecewise smooth functions using deep ReLU neural networks.
  In: Neural networks. 108 (Dezember 2018). - S. 296-330.
  ISSN 1879-2782 ; 0893-6080
  10.1016/j.neunet.2018.08.019
  (Peer-Review-Journal)
• 

  Jung, Peter ; Krahmer, Felix ; Stöger, Dominik:
  Blind demixing and deconvolution at near-optimal rate.
  In: IEEE transactions on information theory. 64 (2018) 2. - S. 704-727.
  ISSN 0018-9448 ; 1557-9654
  10.1109/TIT.2017.2784481
  (Peer-Review-Journal)
• 

  Janjić, Tijana ; Potthast, Roland ; Van Leeuwen, Peter Jan:
  Editorial for "Advances in Data Assimilation Methods".
  In: Quarterly journal of the Royal Meteorological Society. 144 (2018) 713. - S. 1189-1190.
  ISSN 1477-870x ; 0035-9009
  10.1002/qj.3382
  (Peer-Review-Journal)
• 

  

  Petersen, Philipp ; Voigtlaender, Felix:
  Equivalence of approximation by convolutional neural networks and fully-connected networks.
  2018. - 13 S.
  arXiv:1809.00973
• 

  

  Sommer, Matthias ; Janjić, Tijana:
  A flexible additive inflation scheme for treating model error in ensemble Kalman filters.
  In: Quarterly journal of the Royal Meteorological Society. 144 (2018) 716. - S. 2026-2037.
  ISSN 1477-870x ; 0035-9009
  10.1002/qj.3254
  (Peer-Review-Journal)
• 

  

  Lee, Dae Gwan ; Pfander, Götz E. ; Pohl, Volker ; Zhou, Weiqi:
  Identification of Multiple-Input Multiple-Output Channels Under Linear Side Constraints.
  In: 2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Proceedings. - Calgary, 2018. - S. 3889-3893
  ISBN 978-1-5386-4658-8
  10.1109/ICASSP.2018.8461863
• 

  

  Janjić, Tijana ; Bormann, N. ; Bocquet, Marc ; Carton, J. A. ; Cohn, Stephen E. ; Dance, Sarah L. ; Losa, Svetlana N. ; Nichols, Nancy K. ; Potthast, Roland ; Waller, Joanne A. ; Weston, P.:
  On the representation error in data assimilation.
  In: Quarterly journal of the Royal Meteorological Society. 144 (2018) 713. - S. 1257-1278.
  ISSN 1477-870x ; 0035-9009
  10.1002/qj.3130
  (Peer-Review-Journal)
• 

  Ruckstuhl, Yvonne M. ; Janjić, Tijana:
  Parameter and state estimation with ensemble Kalman filterbased algorithms for convective-scale applications.
  In: Quarterly journal of the Royal Meteorological Society. 144 (2018) 712. - S. 826-841.
  ISSN 1477-870x ; 0035-9009
  10.1002/qj.3257
  (Peer-Review-Journal)
• 

  

  Zeng, Yuefei ; Janjić, Tijana ; de Lozar, Alberto ; Blahak, Ulrich ; Reich, Hendrik ; Keil, Christian ; Seifert, Axel:
  Representation of Model Error in Convective-Scale Data Assimilation : Additive Noise, Relaxation Methods, and Combinations.
  In: Journal of advances in modeling earth systems. 10 (2018) 11. - S. 2889-2911.
  ISSN 1942-2466
  10.1029/2018MS001375
  (Peer-Review-Journal)
• 

  Stöger, Dominik ; Geppert, Jakob ; Krahmer, Felix:
  Sparse power factorization with refined peakiness conditions.
  In: 2018 IEEE Statistical Signal Processing Workshop (SSP). - Freiburg im Breisgau, 2018
  ISBN 978-1-5386-1571-3
  10.1109/SSP.2018.8450850
  (Begutachteter Beitrag / peer-reviewed paper)
• 

  

  Gustafsson, Nils ; Janjić, Tijana ; Schraff, Christoph ; Leuenberger, Daniel ; Weissmann, Martin ; Reich, Hendrik ; Brousseau, Pierre ; Montmerle, Thibaut ; Wattrelot, Eric ; Bučánek, Antonín ; Mile, Máté ; Hamdi, Rafiq ; Lindskog, Magnus ; Barkmeijer, Jan ; Dahlbom, Mats ; Macpherson, Bruce ; Ballard, Sue ; Inverarity, Gordon ; Carley, Jacob ; Curtis, Alexander ; Dowell, David ; Liu, Shun ; Ikuta, Yasutaka ; Fujita, Tadashi:
  Survey of data assimilation methods for convective-scale numerical weather prediction at operational centres.
  In: Quarterly journal of the Royal Meteorological Society. 144 (2018) 713. - S. 1218-1256.
  ISSN 1477-870x ; 0035-9009
  10.1002/qj.3179
  (Peer-Review-Journal)
• 

  

  Petersen, Philipp ; Raslan, Mones ; Voigtlaender, Felix:
  Topological properties of the set of functions generated by neural networks of fixed size.
  2018. - 51 S.
  arXiv:1806.08459

2017

• 

  Voigtlaender, Felix:
  Understanding X-let sparsity via decomposition spaces.
  2017
  Veranstaltung: 2017 International Conference on Sampling Theory and Applications (SampTA), 3-7 July 2017, Tallinn, Estonia.
  (Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung, Vortrag)
  10.1109/SAMPTA.2017.8024402
• 

  

  Walk, Philipp ; Jung, Peter ; Pfander, Götz E.:
  On the stability of sparse convolutions.
  In: Applied and computational harmonic analysis. 42 (Januar 2017) 1. - S. 117-134.
  ISSN 1063-5203 ; 1096-603x
  10.1016/j.acha.2015.08.002
  (Peer-Review-Journal)
• 

  

  Voigtlaender, Felix ; Pein, Anne:
  Analysis vs. synthesis sparsity for α-shearlets.
  2017. - 101 S.
  arXiv:1702.03559
• 

  Lange, Heiner ; Craig, George C. ; Janjić, Tijana:
  Characterizing noise and spurious convection in convective data assimilation.
  In: Quarterly journal of the Royal Meteorological Society. 143 (2017) 709. - S. 3060-3069.
  ISSN 1477-870x ; 0035-9009
  10.1002/qj.3162
  (Peer-Review-Journal)
• 

  Keiper, Sandra ; Kutyniok, Gitta ; Lee, Dae Gwan ; Pfander, Götz E.:
  Compressed sensing for finite-valued signals.
  In: Linear algebra and its applications. 532 (2017). - S. 570-613.
  ISSN 0024-3795
  10.1016/j.laa.2017.07.006
  (Peer-Review-Journal)
• 

  Zeng, Yuefei ; Janjić, Tijana ; Ruckstuhl, Yvonne ; Verlaan, Martin:
  Ensemble-type Kalman filter algorithm conserving mass, total energy and enstrophy.
  In: Quarterly journal of the Royal Meteorological Society. 143 (2017) 708. - S. 2902-2914.
  ISSN 1477-870x ; 0035-9009
  10.1002/qj.3142
  (Peer-Review-Journal)
• Cabrelli, Carlos ; Lee, Dae Gwan ; Molter, Ursula ; Pfander, Götz E.:
  Extra invariance and Balian-Low type obstructions for Gabor spaces.
  In: Proceedings of 2017 International Conference on Sampling Theory and Applications (SampTA), Tallinn, Estonia. - Tallinn, Estonia, 2017
  (Begutachteter Beitrag / peer-reviewed paper)
• 

  Feichtinger, Hans Georg ; Voigtlaender, Felix:
  From Frazier-Jawerth characterizations of Besov spaces to Wavelets and Decomposition spaces.
  In: Cwikel, Michael ; Milman, Mario (Hrsg.): Functional analysis, harmonic analysis, and image processing : a collection of papers in honor of Björn Jawerth. - Providence, Rhode Island : American Mathematical Society, 2017. - S. 185-216. - (Contemporary mathematics ; 693)
  ISBN 978-1-4704-2836-5 ; 978-1-4704-4166-1
  (Begutachteter Beitrag / peer-reviewed paper)
• 

  Pfander, Götz E. ; Salanevich, Palina:
  Geometric properties of Gabor frames with a random window.
  In: Proceedings of the 12th International Conference on Sampling Theory and Applications (SampTA), Tallinn, Estonia. - Tallinn, Estonia, 2017
  ISBN 978-1-5386-1565-2 ; 978-1-5386-1564-5
  10.1109/SAMPTA.2017.8024460
  (Begutachteter Beitrag / peer-reviewed paper)
• 

  Pfander, Götz E. ; Zhou, Weiqi:
  Irregular Orthonormal Gabor Basis in Finite Dimensions and Applications.
  In: Proceedings of SampTA 2017. - Tallinn, Estonia : SampTA, 2017. - S. 303-307
  ISBN 978-1-5386-1564-5 ; 978-1-5386-1565-2
  10.1109/SAMPTA.2017.8024467
  (Begutachteter Beitrag / peer-reviewed paper)
• 

  Geppert, Jakob ; Krahmer, Felix ; Stöger, Dominik:
  Refined performance guarantees for Sparse Power Factorization.
  In: 2017 International Conference on Sampling Theory and Applications (SampTA). - Tallinn, Estonia, 2017. - S. 509-513
  ISBN 978-1-5386-1565-2
  10.1109/SAMPTA.2017.8024391
  (Begutachteter Beitrag / peer-reviewed paper)

2016

• 

  Molahajloo, Shahla ; Okoudjou, Kasso ; Pfander, Götz E.:
  Boundedness of multilinear pseudo-differential operators on modulation spaces.
  In: The journal of Fourier analysis and applications. 22 (Dezember 2016) 6. - S. 1381-1415.
  ISSN 1069-5869 ; 1531-5851
  10.1007/s00041-016-9461-2
  (Peer-Review-Journal)
• 

  Pfander, Götz E. ; Walnut, David:
  Sampling and reconstruction of operators.
  In: IEEE transactions on information theory. 62 (Januar 2016) 1. - S. 435-458.
  ISSN 0018-9448 ; 1557-9654
  10.1109/TIT.2015.2501646
  (Peer-Review-Journal)
• 

  Walk, Philipp ; Jung, Peter ; Pfander, Götz E. ; Hassibi, Babak:
  Ambiguities on convolutions with applications to phase retrieval.
  In: Matthews, Michael B. (Hrsg.): Conference Record of the 50th Asilomar Conference on Signals, Systems and Computers. - Pacific Grove, California, 2016. - S. 1228-1234
  ISBN 978‑1‑5386‑3954‑2
  10.1109/ACSSC.2016.7869569
• 

  

  Janjić, Tijana ; Lange, Heiner ; Ruckstuhl, Yvonne ; Zeng, Yuefei:
  Approaches to convective scale data assimilation.
  In: Steinle, Peter ; Dharssi, Imtiaz ; Gottwald, Georg ; et al. (Hrsg.): Data assimilation – Abstracts of the tenth CAWCR Workshop 5-9 December 2016, Melbourne, Australia. - Melbourne : Australian Government, Bureau of Meteorology, 2016. - S. 41-44. - (Bureau Research Reports ; 017)
  ISBN 978-0-642-70683-6
• 

  

  Lange, Heiner ; Janjić, Tijana:
  Assimilation of Mode-S EHS Aircraft Observations in COSMO-KENDA.
  In: Monthly weather review. 144 (2016) 5. - S. 1697-1711.
  ISSN 0027-0644 ; 1520-0493
  10.1175/MWR-D-15-0112.1
  (Peer-Review-Journal)
• 

  Stöger, Dominik ; Jung, Peter ; Krahmer, Felix:
  Blind deconvolution and compressed sensing.
  In: 4th International Workshop on Compressed Sensing Theory and its Applications to Radar, Sonar and Remote Sensing (CoSeRa). - Aachen, 2016. - S. 24-27
  ISBN 978-1-5090-2920-4
  (Begutachteter Beitrag / peer-reviewed paper)
• Keiper, Sandra ; Kutyniok, Gitta ; Lee, Dae Gwan ; Pfander, Götz E.:
  Compressed Sensing for Finite-Valued Signals.
  s.l., 2016
  arXiv:1609.09450
• 

  

  Voigtlaender, Felix:
  Embedding theorems for decomposition spaces with applications to wavelet coorbit spaces.
  RWTH Aachen University
  Aachen, 2016
  urn:nbn:de:hbz:82-rwth-2015-075066
• 

  

  Voigtlaender, Felix:
  Embeddings of Decomposition Spaces into Sobolev and BV Spaces.
  2016. - 64 S.
  arXiv:1601.02201
• 

  

  Simmer, Clemens ; Adrian, Gerhard ; Jones, Sarah ; Wirth, Volkmar ; Göber, Martin ; Hohenegger, Cathy ; Janjić, Tijana ; Keller, Jan ; Ohlwein, Christian ; Seifert, Axel ; Trömel, Silke ; Ulbrich, Thorsten ; Wapler, Kathrin ; Weissmann, Martin ; Keller, Julia ; Masbou, Matthieu ; Meilinger, Stefanie ; Riß, Nicole ; Schomburg, Annika ; Vormann, Arnd ; Weingärtner, Christa:
  HErZ: The German Hans-Ertel Centre for Weather Research.
  In: Bulletin of the American Meteorological Society. 97 (2016) 6. - S. 1057-1068.
  ISSN 0003-0007 ; 1520-0477
  10.1175/BAMS-D-13-00227.1
  (Peer-Review-Journal)
• 

  Böhme, David ; Geimer, Markus ; Arnold, Lukas ; Voigtlaender, Felix ; Wolf, Felix:
  Identifying the Root Causes of Wait States in Large-Scale Parallel Applications.
  In: ACM Transactions on Parallel Computing. 3 (2016) 2: 11. - 24 S.
  ISSN 2329-4949 ; 2329-4957
  10.1145/2934661
  (Peer-Review-Journal)
• 

  Albertella, Alberta ; Savcenko, Roman ; Janjić, Tijana ; Rummel, Reiner ; Bosch, Wolfgang ; Schröter, Jens:
  Mean Dynamic Ocean Topography in the Southern Ocean from GRACE and GOCE and Multi-mission Altimeter Data.
  In: Rizos, Chris ; Willis, Pascal (Hrsg.): Earth on the Edge : Science for a Sustainable Planet. - Berlin ; Heidelberg : Springer, 2016. - S. 81-87. - (International Association of Geodesy Symposia ; 139)
  ISBN 9783642372216
  10.1007/978-3-642-37222-3_10
  (Begutachteter Beitrag / peer-reviewed paper)
• 

  Žagar, Nedjeljka ; Bojarova, Jelena ; Gustafsson, Nils ; Janjić, Tijana ; Marseille, Gert-Jan ; Rennie, Michael ; Stoffelen, Ad ; Šavli, Matic:
  Mesoscale data assimilation and the role of winds in limited-area models for NWP in Europe.
  In: Workshop on Wind Profiles and Mesoscale Data Assimilation, 19-20 September 2016. - Ljublijana, Slowenien, 2016
• 

  Fell, Jonathan ; Führ, Hartmut ; Voigtlaender, Felix:
  Resolution of the wavefront set using general continuous wavelet transforms.
  In: The journal of Fourier analysis and applications. 22 (2016) 5. - S. 997-1058.
  ISSN 1069-5869 ; 1531-5851
  10.1007/s00041-015-9445-7
  (Peer-Review-Journal)
• 

  

  Zeng, Yuefei ; Janjić, Tijana:
  Study of conservation laws with the Local Ensemble Transform Kalman Filter.
  In: Quarterly journal of the Royal Meteorological Society. 142 (2016) 699. - S. 2359-2372.
  ISSN 1477-870x ; 0035-9009
  10.1002/qj.2829
  (Peer-Review-Journal)
• 

  

  Haslehner, Mylène ; Janjić, Tijana ; Craig, George C.:
  Testing particle filters on simple convective-scale models. Part 2: A modified shallow-water model.
  In: Quarterly journal of the Royal Meteorological Society. 142 (2016) 697. - S. 1628-1646.
  ISSN 1477-870x ; 0035-9009
  10.1002/qj.2757
  (Peer-Review-Journal)
• 

  

  Haslehner, Mylène ; Janjić, Tijana ; Craig, George C.:
  Testing particle filters on simple convective-scale models. Part l: A stochastic cloud model.
  In: Quarterly journal of the Royal Meteorological Society. 142 (2016) 696. - S. 1439-1452.
  ISSN 1477-870x ; 0035-9009
  10.1002/qj.2745
  (Peer-Review-Journal)
• 

  Cabrelli, Carlos ; Molter, Ursula ; Pfander, Götz E.:
  Time-frequency shift invariance and the Amalgam Balian-Low theorem.
  In: Applied and computational harmonic analysis. 41 (2016) 3. - S. 677-691.
  ISSN 1063-5203 ; 1096-603x
  (Peer-Review-Journal)

2015

• 

  Pfander, Götz E. ; Zheltov, P.:
  Estimation of Overspread Scattering Functions.
  In: IEEE Transactions on Signal Processing. 63 (Mai 2015) 10. - S. 2451-2463.
  ISSN 1053-587x ; 1941-0476
  10.1109/TSP.2015.2403309
  (Peer-Review-Journal)
• 

  Fell, Jonathan ; Führ, Hartmut ; Voigtlaender, Felix:
  Resolution of the wave front set using general wavelet transforms.
  2015
  Veranstaltung: 2015 International Conference on Sampling Theory and Applications (SampTA), 25-29 May 2015, Washington, DC, USA.
  (Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung, Vortrag)
  10.1109/SAMPTA.2015.7148907
• 

  Cabrelli, Carlos ; Molter, Ursula ; Pfander, Götz E.:
  An Amalgam Balian-Low Theorem for symplectic lattices of rational density.
  In: Proceedings on the International Conference on Sampling Theory and Applications (SampTA), May 25 - 29, 2015, Washington DC. - Piscataway, New Jersey : IEEE, 2015. - S. 134-138
  ISBN 978-1-4673-7353-1 ; 1-4673-7353-2 ; 978-1-4673-7353-1
  10.1109/SAMPTA.2015.7148866
  (Begutachteter Beitrag / peer-reviewed paper)
• 

  Walnut, David ; Pfander, Götz E. ; Kailath, Thomas:
  Cornerstones of Sampling of Operator Theory.
  In: Balan Radu ; Begué Matthew ; Benedetto John J. ; Czaja Wojciech (Hrsg.): Excursions in Harmonic Analysis. - Cham : Birkhäuser, 2015. - S. 291-332. - (Applied and Numerical Harmonic Analysis ; 4)
  ISBN 978-3-319-20188-7 ; 978-3-319-20187-0
  10.1007/978-3-319-20188-7_12
  (Begutachteter Beitrag / peer-reviewed paper)
• Janjić, Tijana:
  Data assimilation for atmospheric and oceanic applications from the models perspective.
  München, 2015
• 

  Salanevich, Palina ; Pfander, Götz E.:
  Polarization based phase retrieval for time-frequency structured measurements.
  In: Proceedings on the International Conference on Sampling Theory and Applications (SampTA), May 25 - 29, 2015, Washington DC. - Piscataway, New Jersey : IEEE, 2015. - S. 187-191
  ISBN 978-1-4673-7353-1 ; 1-4673-7353-2 ; 978-1-4673-7353-1
  10.1109/SAMPTA.2015.7148847
  (Begutachteter Beitrag / peer-reviewed paper)
• 

  Pfander, Götz E. ; Walnut, David:
  Regular operator sampling for parallelograms.
  In: Proceedings on the International Conference on Sampling Theory and Applications (SampTA), May 25 - 29, 2015, Washington DC. - Piscataway, New Jersey : IEEE, 2015. - S. 44-47
  ISBN 978-1-4673-7353-1 ; 1-4673-7353-2 ; 978-1-4673-7353-1
  10.1109/SAMPTA.2015.7148847
  (Begutachteter Beitrag / peer-reviewed paper)
• Sampling Theory, a Renaissance - Compressive Sensing and Other Developments.
  Hrsg.: Pfander, Götz E.
  Basel : Birkhäuser, 2015. - 532 S. - (Applied and Numerical Harmonic Analysis)
  ISBN 978-3-319-19748-7
• 

  

  Führ, Hartmut ; Voigtlaender, Felix:
  Wavelet coorbit spaces viewed as decomposition spaces.
  In: Journal of functional analysis. 269 (2015) 1. - S. 80-154.
  ISSN 0022-1236 ; 1096-0783
  10.1016/j.jfa.2015.03.019
  (Peer-Review-Journal)

2014

• 

  Krahmer, Felix ; Pfander, Götz E.:
  Local Sampling and Approximation of Operators with Bandlimited Kohn--Nirenberg Symbols.
  In: Constructive approximation. 39 (Juni 2014) 3. - S. 541-572.
  ISSN 0176-4276 ; 1432-0940
  (Peer-Review-Journal)
• 

  Pfander, Götz E. ; Zheltov, P.:
  Sampling of Stochastic Operators.
  In: IEEE transactions on information theory. 60 (April 2014) 4. - S. 2359-2372.
  ISSN 0018-9448 ; 1557-9654
  (Peer-Review-Journal)
• 

  Losa, Svetlana N. ; Danilov, Sergey ; Schröter, Jens ; Janjić, Tijana ; Nerger, Lars ; Janssen, Frank:
  Assimilating NOAA SST data into BSH operational circulation model for the North and Baltic Seas. Part 2. Sensitivity of the forecast's skill to the prior model error statistics.
  In: Journal of marine systems. 129 (2014). - S. 259-270.
  ISSN 0924-7963
  10.1016/j.jmarsys.2013.06.011
  (Peer-Review-Journal)
• 

  

  Janjić, Tijana ; McLaughlin, Dennis ; Cohn, Stephen E. ; Verlaan, Martin:
  Conservation of Mass and Preservation of Positivity with Ensemble-Type Kalman Filter Algorithms.
  In: Monthly weather review. 142 (2014) 2. - S. 755-773.
  ISSN 0027-0644 ; 1520-0493
  10.1175/MWR-D-13-00056.1
  (Peer-Review-Journal)
• 

  Pfander, Götz E. ; Zheltov, Pavel:
  Identification of stochastic operators.
  In: Applied and computational harmonic analysis. 36 (2014) 2. - S. 256-279.
  ISSN 1063-5203 ; 1096-603x
  (Peer-Review-Journal)
• 

  

  Weissmann, Martin ; Göber, Martin ; Hohenegger, Cathy ; Janjić, Tijana ; Keller, Jan ; Ohlwein, Christian ; Seifert, Axel ; Trömel, Silke ; Ulbrich, Thorsten ; Wapler, Kathrin ; Bollmeyer, Christoph ; Deneke, Hartwig:
  Initial phase of the Hans-Ertel Centre for Weather Research – A virtual centre at the interface of basic and applied weather and climate research.
  In: Meteorologische Zeitschrift. 23 (2014) 3. - S. 193-208.
  ISSN 0941-2948 ; 1610-1227
  10.1127/0941-2948/2014/0558
  (Peer-Review-Journal)
• Oktay, O. ; Pfander, Götz E. ; Zheltov, P.:
  Reconstruction of the scattering function of overspread radar targets.
  In: IEEE Transactions on Signal Processing. 8 (2014) 9. - S. 1018-1024.
  ISSN 1053-587x ; 1941-0476
  (Peer-Review-Journal)
• 

  Pfander, Götz E. ; Zheltov, Pavel:
  SIC-POVMs vs WSSUS : Quantum Information Theory meets Channel Estimation.
  EMS Publishing House, 2014. - (Oberwolfach Reports ; 11)
  10.4171/OWR/2014/18

2013

• 

  Pfander, Götz E. ; Rashkov, Peter:
  Remarks on multivariate Gaussian Gabor frames.
  In: Monatshefte für Mathematik. 172 (November 2013) 2. - S. 179-187.
  ISSN 0026-9255 ; 1436-5081
  10.1007/s00605-013-0556-4
  (Peer-Review-Journal)
• 

  Pfander, Götz E. ; Rauhut, Holger ; Tropp, Joel:
  The restricted isometry property for time-frequency structured random matrices.
  In: Probability theory and related fields. 156 (August 2013) 3-4. - S. 707-737.
  ISSN 0178-8051
  10.1007/s00440-012-0441-4
  (Peer-Review-Journal)
• 

  Pfander, Götz E.:
  Sampling of Operators.
  In: The journal of Fourier analysis and applications. 19 (Juni 2013) 3. - S. 612-650.
  ISSN 1069-5869 ; 1531-5851
  10.1007/s00041-013-9269-2
  (Peer-Review-Journal)
• 

  Molahajloo, Shahla ; Pfander, Götz E.:
  Boundedness of pseudo-differential operators on L^p, Sobolev, and modulation spaces.
  In: Mathematical modelling of natural phenomena : MMNP. 8 (2013) 1. - S. 175-192.
  ISSN 0973-5348
  10.1051/mmnp/20138113
  (Peer-Review-Journal)
• Grip, Niklas ; Pfander, Götz E. ; Rashkov, Peter:
  A density criterion for operator identification.
  In: Sampling theory in signal and image processing. 12 (2013) 1. - S. 1-19.
  ISSN 1530-6429
  (Peer-Review-Journal)
• 

  Pfander, Götz E.:
  Gabor frames in finite dimensions.
  In: Casazza Peter K. ; Kutyniok Gitta (Hrsg): Finite Frames. - Boston : Birkhäuser, 2013. - S. 193-239. - (Applied and Numerical Harmonic Analysis)
  ISBN 978-0-8176-8372-6 ; 978-0-8176-8373-3 ; 0-8176-8372-0
  10.1007/978-0-8176-8373-3_6
  (Begutachteter Beitrag / peer-reviewed paper)
• 

  Pfander, Götz E. ; Walnut, David:
  Sparse finite Gabor frames for operator sampling.
  In: Proceedings of the International Conference on Sampling Theory and Applications (SampTA), July 1 - 5, 2013, Bremen. - Bremen : Eurasip, 2013. - S. 37-40
  (Begutachteter Beitrag / peer-reviewed paper)
• 

  Grip, Niklas ; Pfander, Götz E. ; Rashkov, Peter:
  A time-frequency density criterion for operator identification.
  In: Sampling theory in signal and image processing. 12 (2013) 1. - S. 1-19.
  ISSN 1530-6429
  arXiv:1504.05730
  (Peer-Review-Journal)

2012

• 

  Casazza, Peter G. ; Pfander, Götz E.:
  Infinite dimensional restricted invertibility.
  In: Journal of functional analysis. 263 (15. Dezember 2012) 12. - S. 3784-3803.
  ISSN 0022-1236 ; 1096-0783
  10.1016/j.jfa.2012.09.008 ·
  (Peer-Review-Journal)
• 

  Janjić, Tijana ; Schröter, Jens ; Albertella, Alberta ; Bosch, Wolfgang ; Rummel, Reiner ; Savcenko, Roman ; Schwabe, Joachim ; Scheinert, Mirko:
  Assimilation of geodetic dynamic ocean topography using ensemble based Kalman filter.
  In: Journal of geodynamics. 59-60 (2012). - S. 92-98.
  ISSN 0264-3707
  10.1016/j.jog.2011.07.001
  (Peer-Review-Journal)
• 

  Pfander, Götz E.:
  Gabor frames in finite dimensions.
  In: Casazza, Peter G .; Kutyniok, Gitta (Hrsg.): Finite Frames : Theory and Applications. - Boston : Birkhäuser, 2012. - S. 193-240
  ISBN 978-0817683726
  10.1007/978-0-8176-8373-3_6
• 

  Pfander, Götz E. ; Rashkov, Peter ; Wang, Yang:
  A geometric construction of tight multivariate Gabor frames with compactly supported smooth windows.
  In: The journal of Fourier analysis and applications. 18 (2012). - S. 223-239.
  ISSN 1069-5869 ; 1531-5851
  10.1007/s00041-011-9198-x
  (Peer-Review-Journal)
• 

  Albertella, Alberta ; Savcenko, Roman ; Janjić, Tijana ; Rummel, Reiner ; Bosch, Wolfgang ; Schröter, Jens:
  High resolution dynamic ocean topography in the Southern Ocean from GOCE.
  In: Geophysical journal international. 190 (2012) 2. - S. 922-930.
  ISSN 1956-540x ; 1365-246x
  10.1111/j.1365-246X.2012.05531.x
  (Peer-Review-Journal)
• 

  

  Janjić, Tijana ; Schröter, Jens ; Savcenko, Roman ; Bosch, Wolfgang ; Albertella, Alberta ; Rummel, Reiner ; Klatt, Olaf:
  Impact of combining GRACE and GOCE gravity data on ocean circulation estimates.
  In: Ocean science. 8 (2012). - S. 65-79.
  ISSN 1812-0784 ; 1812-0792
  10.5194/os-8-65-2012
  (Peer-Review-Journal)
• Albertella, Alberta ; Savcenko, Roman ; Janjić, Tijana ; Rummel, Reiner ; Bosch, Wolfgang ; Schröter, Jens:
  Mean Dynamic Ocean Topography in the Southern hemisphere from GRACE and GOCE and multi-mission altimeter data.
  In: Proceedings of IUGG, Melbourne, 28th June - 7th of July, 2011. - Melbourne, Australia, 2012
• 

  Janjić, Tijana ; McLaughlin, Dennis ; Cohn, Stephen E.:
  Preservation of physical properties with ensemble based Kalman filter algorithms.
  In: Griewank, Andreas ; Reich, Sebastian ; Roulstone, Ian ; Stuart, Andrew (Hrsg): Mathematical and Algorithmic Aspects of Atmosphere-Ocean Data Assimilation. - Oberwolfach : EMS Publishing House, 2012. - S. 3433-3436. - (Oberwolfach Reports ; 9,4)
  10.4171/OWR/2012/58
• 

  

  Nerger, Lars ; Janjić, Tijana ; Schröter, Jens ; Hiller, Wolfgang:
  A regulated localization scheme for ensemble-based Kalman filters.
  In: Quarterly journal of the Royal Meteorological Society. 138 (2012) 664. - S. 802-812.
  ISSN 1477-870x ; 0035-9009
  10.1002/qj.945
  (Peer-Review-Journal)
• 

  

  Nerger, Lars ; Janjić, Tijana ; Schröter, Jens ; Hiller, Wolfgang:
  A Unification of Ensemble Square Root Kalman Filters.
  In: Monthly weather review. 140 (2012) 7. - S. 2335-2345.
  ISSN 0027-0644 ; 1520-0493
  (Peer-Review-Journal)

2011

• 

  Casazza, Peter G. ; Pfander, Götz E.:
  The Bourgain Tzafriri restricted invertibility theorem in infinite dimensions.
  In: Oberwolfach Reports. 8 (2011) 1. - S. 955-957.
  ISSN 1660-8933
  10.4171/OWR/2011/17
• 

  

  Janjić, Zaviša I. ; Janjić, Tijana ; Vasic, Ratko:
  A class of conservative fourth-order advection schemes and impact of enhanced formal accuracy on extended-range forecasts.
  In: Monthly weather review. 139 (2011) 5. - S. 1556-1568.
  ISSN 0027-0644 ; 1520-0493
  10.1175/2010MWR3448.1
  (Peer-Review-Journal)
• Grip, Niklas ; Pfander, Götz E. ; Rashkov, Peter:
  Density criteria in operator identification.
  In: Proceedings of the 9th International Conference on Sampling Theory and Applications (SampTA), May 2 - 6, 2011, Singapore. - Singapore, 2011
  (Begutachteter Beitrag / peer-reviewed paper)
• Grip, Niklas ; Pfander, Götz E.:
  Efficient Analysis of OFDM Channels.
  In: Rohling, Hermann (Hrsg.): OFDM : Concepts for Future Communication Systems. - Berlin ; Heidelberg : Springer, 2011. - S. 109-114
  ISBN 978-3-642-17495-7
• Pfander, Götz E. ; Zheltov, Pavel:
  Identification and sampling of stochastic operators.
  In: Proceedings of the 9th International Conference on Sampling Theory and Applications (SampTA), May 2 - 6, 2011, Singapore. - Singapore, 2011
  (Begutachteter Beitrag / peer-reviewed paper)
• 

  

  Janjić, Tijana ; Schröter, Jens ; Savcenko, Roman ; Bosch, Wolfgang ; Albertella, Alberta ; Rummel, Reiner ; Klatt, Olaf:
  Impact of combining GRACE and GOCE gravity data on ocean circulation estimates.
  In: Ocean science discussions. 8 (2011). - S. 1535-1573.
  ISSN 1812-0806 ; 1812-0806
  (Peer-Review-Journal)
• 

  

  Janjić, Tijana ; Nerger, Lars ; Albertella, Alberta ; Schröter, Jens ; Skachko, Sergey:
  On Domain Localization in Ensemble-Based Kalman Filter Algorithms.
  In: Monthly weather review. 139 (2011) 7. - S. 2046-2060.
  ISSN 0027-0644 ; 1520-0493
  10.1175/2011MWR3552.1
  (Peer-Review-Journal)

2010

• 

  Pfander, Götz E. ; Rauhut, Holger:
  Sparsity in time-frequency representations.
  In: The journal of Fourier analysis and applications. 16 (April 2010). - S. 233-260.
  ISSN 1069-5869 ; 1531-5851
  10.1007/s00041-009-9086-9
  (Peer-Review-Journal)
• 

  Albertella, Alberta ; Rummel, Reiner ; Savcenko, Roman ; Bosch, Wolfgang ; Janjić, Tijana ; Schröter, Jens ; Gruber, Thomas ; Bouman, Johannes:
  Dynamic Ocean Topography from GOCE : Some Preparatory Attempts.
  In: Proceedings of ESA Living Planet Symposium, held on 28 June - 2 July 2010 at Bergen in Norway. - Bergen, Norway, 2010
• 

  

  Loza, Svetlana ; Nerger, Lars ; Janjić, Tijana ; Schröter, Jens ; Janssen, Frank:
  Entwicklung und Implementierung eines Verfahrens zur Datenassimilation von Fernerkundungsdaten in ein operationelles Modell für die Nord- und Ostsee (DOM).
  In: Jahresbericht / DeMarine Umwelt. 2009-2010. Operationalisierung mariner GMES-Dienste in Deutschland (2010). - S. 57-68.
  hdl:10013/epic.38015
• 

  

  Hong, Yoon Mi ; Pfander, Götz E.:
  Irregular and multi-channel sampling of operators.
  In: Applied and computational harmonic analysis. 29 (2010) 2. - S. 214-231.
  ISSN 1063-5203 ; 1096-603x
  10.1016/j.acha.2009.10.006
  (Peer-Review-Journal)
• Pfander, Götz E. ; Rashkov, Peter:
  Window design for multivariate Gabor frames on lattices.
  2010. - 46 S. - (Jacobs University Technical Reports ; 21)

2009

• Krahmer, Felix ; Pfander, Götz E. ; Rashkov, Peter:
  Applications of the uncertainty principle for finite abelian Groups to communications engineering.
  In: Bulgarian Journal of Physics. 36 (2009) 1. - S. 54-59.
  ISSN 1310-0157
  (Peer-Review-Journal)
• 

  

  Rollenhagen, Katja ; Timmermann, Ralph ; Janjić, Tijana ; Schröter, Jens ; Danilov, Sergey:
  Assimilation of sea ice motion in a finite‐element sea ice model.
  In: Journal of geophysical research. Oceans. 114 (2009) C5.
  ISSN 2169-9275 ; 2169-9291
  10.1029/2008JC005067
  (Peer-Review-Journal)
• Hong, Yoon Mi ; Pfander, Götz E.:
  Irregular and multichannel sampling in operator Paley-Wiener spaces.
  In: Proceedings of the International Conference on Sampling Theory and Applications (SampTA), May 18 - 22, 2009, Marseille. - Marseille, 2009
  (Begutachteter Beitrag / peer-reviewed paper)
• Pfander, Götz E.:
  Linear independence and coherence of Gabor systems in finite dimensional spaces.
  In: Proceedings of the International Conference on Sampling Theory and Applications (SampTA), May 18 - 22, 2009, Marseille. - Marseille, 2009
  (Begutachteter Beitrag / peer-reviewed paper)
• 

  

  Janjić, Tijana ; Albertella, Alberta ; Skachko, Sergey ; Schröter, Jens ; Rummel, Reiner:
  Observational error covariance specification in ensemble based Kalman filter algorithms.
  In: Proceedings of 5th WMO Symposium on the Assimilation of Observations for Meteorology, Oceanography and Hydrology, Melbourne 5-9 October 2009. - Melbourne, Australia, 2009
  hdl:10013/epic.33723
• 

  

  Krahmer, Felix ; Pfander, Götz E. ; Rashkov, Peter:
  An open question on the existence of Gabor frames in general linear position.
  In: Dahlke, Stephan ; Daubechies, Ingrid ; Elad, Michal ; Kutyniok, Gitta ; Teschke, Gerd (Hrsg.): Structured Decompositions and Efficient Algorithms. - Dagstuhl : Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik, Germany, 2009. - (Dagstuhl Seminar Proceedings ; 08492)
  (Begutachteter Beitrag / peer-reviewed paper)
• Pfander, Götz E. ; Walnut, David:
  Operator identification and sampling.
  In: Proceedings of the International Conference on Sampling Theory and Applications (SampTA), May 18 - 22, 2009, Marseille. - Marseille, 2009
  (Begutachteter Beitrag / peer-reviewed paper)

2008

• 

  

  Krahmer, Felix ; Pfander, Götz E. ; Rashkov, Peter:
  Uncertainty in time-frequency representations on finite Abelian groups.
  In: Applied and computational harmonic analysis. 25 (September 2008). - S. 209-225.
  ISSN 1063-5203 ; 1096-603x
  10.1016/j.acha.2007.09.008
  (Peer-Review-Journal)
• 

  Pfander, Götz E. ; Rauhut, Holger ; Tanner, Jared:
  Identification of matrices having a sparse representation.
  In: IEEE Transactions on Signal Processing. 56 (15. Juli 2008) 11. - S. 5376-5388.
  ISSN 1053-587x ; 1941-0476
  10.1109/TSP.2008.928503
  (Peer-Review-Journal)
• 

  

  Pfander, Götz E.:
  On the invertibility of "rectangular" bi-infinite matrices and applications in time-frequency analysis.
  In: Linear algebra and its applications. 429 (Juli 2008) 1. - S. 331-345.
  ISSN 0024-3795
  10.1016/j.laa.2008.02.025
  (Peer-Review-Journal)
• 

  

  Pfander, Götz E.:
  Measurement of time-varying multiple-input multiple-output channels.
  In: Applied and computational harmonic analysis. 24 (Mai 2008) 3. - S. 393-401.
  ISSN 1063-5203 ; 1096-603x
  10.1016/j.acha.2007.09.006
  (Peer-Review-Journal)
• Grip, Niklas ; Pfander, Götz E.:
  A discrete model for the efficient analysis of time-varying narrowband communication channels.
  In: Multidimensional systems and signal processing. 19 (2008) 1. - S. 3-40.
  ISSN 0923-6082 ; 1573-0824
  0.1007/s11045-007-0032-1
  (Peer-Review-Journal)
• Grip, Niklas ; Pfander, Götz E. ; Rashkov, Peter:
  Identification of time-frequence localized operators.
  2008. - 75 S. - (Jacobs University Technical Reports ; 22)
• 

  

  Skachko, Sergey ; Danilov, Sergey ; Janjić, Tijana ; Schröter, Jens ; Sidorenko, Dmitry ; Savcenko, Roman ; Bosch, Wolfgang:
  Sequential assimilation of multi-mission dynamical topography into a global finite-element ocean model.
  In: Ocean science. 4 (2008). - S. 307-318.
  ISSN 1812-0784 ; 1812-0792
  (Peer-Review-Journal)
• 

  Krahmer, Felix ; Pfander, Götz E. ; Rashkov, Peter:
  Support size restrictions on time-frequency representations of functions on finite Abelian groups.
  In: Proceedings of the 79th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Bremen 2008. - Weinheim : Wiley Blackwell, 2008. - S. 10825-10826. - (Proceedings in Applied Mathematics and Mechanics ; 8)
  10.1002/pamm.200810825

2007

• 

  

  Pfander, Götz E. ; Wünsche, Isabel:
  Exploring infinity : number sequenes in modern art.
  In: Arkhai. 12 (2007). - S. 41-66.
• 

  

  Pfander, Götz E.:
  Note on sparsity in signal recovery and in matrix identification.
  In: The open applied mathematics journal. 1 (2007). - S. 21-23.
  ISSN 1874-1142
  10.2174/1874114200701010021]
  (Peer-Review-Journal)
• Pfander, Götz E. ; Walnut, David:
  On the sampling of functions and operators with an application to Multiple-Input Multiple-Output channel identification.
  In: Van De Ville, Dimitri ; Goyal, Vivek K. ; Papadakis, Manos (Hrsg.): Wavelets XII. Proceedings of the SPIE. - San Diego, California, 2007. - 67010T-1
  (Begutachteter Beitrag / peer-reviewed paper)
• Krahmer, Felix ; Pfander, Götz E. ; Rashkov, Peter:
  Support size conditions for time-frequency representations on finite Abelian groups.
  2007. - 42 S. - (Jacobs University Technical Reports ; 13)
• Grip, Niklas ; Pfander, Götz E.:
  Time varying narrowband communications channels: analysis and implementation.
  2007. - 125 S. - (Jacobs University Technical Reports ; 12)

2006

• 

  Pfander, Götz E. ; Walnut, David:
  Measurement of time variant linear channels.
  In: IEEE transactions on information theory. 52 (November 2006) 11. - S. 4808-4820.
  ISSN 0018-9448 ; 1557-9654
  10.1109/TIT.2006.883553
  (Peer-Review-Journal)
• Pfander, Götz E. ; Walnut, David:
  Operator identification and Feichtinger´s algebra.
  In: Sampling theory in signal and image processing. 5 (Mai 2006) 2. - S. 183-200.
  ISSN 1530-6429
  (Peer-Review-Journal)
• 

  

  Benedetto, John ; Pfander, Götz E.:
  Frame expansions for Gabor multipliers.
  In: Applied and computational harmonic analysis. 20 (Januar 2006) 1. - S. 26-40.
  ISSN 1063-5203 ; 1096-603x
  10.1016/j.acha.2005.03.002
  (Peer-Review-Journal)
• 

  Kozek, Werner ; Pfander, Götz E.:
  Identification of operators with bandlimited symbols.
  In: SIAM journal on mathematical analysis. 37 (2006) 3. - S. 867-888.
  ISSN 0036-1410 ; 1095-7154
  10.1137/S0036141003433437
  (Peer-Review-Journal)
• 

  

  Janjić, Tijana ; Cohn, Stephen E.:
  Treatment of Observation Error due to Unresolved Scales in Atmospheric Data Assimilation.
  In: Monthly weather review. 134 (2006) 10. - S. 2900-2915.
  ISSN 0027-0644 ; 1520-0493
  10.1175/MWR3229.1
  (Peer-Review-Journal)

2005

• 

  Lawrence, Jim ; Pfander, Götz E. ; Walnut, David:
  Linear indepencence of Gabor systems in finite dimensional vector spaces.
  In: The journal of Fourier analysis and applications. 11 (Dezember 2005) 6. - S. 715-726.
  ISSN 1069-5869 ; 1531-5851
  10.1007/s00041-005-5017-6
  (Peer-Review-Journal)
• 

  

  Wulfmeyer, Volker ; Janjić, Tijana:
  Twenty-Four-Hour Observations of the Marine Boundary Layer Using Shipborne NOAA High-Resolution Doppler Lidar.
  In: Journal of applied meteorology and climatology. 44 (2005) 11. - S. 1723-1744.
  ISSN 1558-8424 ; 1558-8432
  10.1175/JAM2296.1
  (Peer-Review-Journal)

2003

• 

  Gröchenig, Karlheinz ; Janssen, Augustus J. E. M. ; Kaiblinger, Norbert ; Pfander, Götz E.:
  Note on B-splines, wavelet scaling functions, and Gabor frames.
  In: IEEE transactions on information theory. 49 (Dezember 2003). - S. 3318-3320.
  ISSN 0018-9448 ; 1557-9654
  10.1109/TIT.2003.820022
  (Peer-Review-Journal)
• 

  Janjić, Tijana ; Wulfmeyer, Volker:
  High-Resolution Studies of Transport Processes in the Atmospheric Boundary Layer Using the Synergy of Large Eddy Simulation and Measurements of Advanced Lidar Systems.
  In: Krause, Egon ; Jäger, Willi ; Resch, Michael (Hrsg.): High Performance Computing in Science and Engineering 2003 : Transactions of the High Performance Computing Center Stuttgart (HLRS) 2003. - Berlin ; Heidelberg : Springer, 2003. - 01-10
  ISBN 978-3-642-55876-4
  10.1007/978-3-642-55876-4_1
  (Begutachteter Beitrag / peer-reviewed paper)

2002

• 

  

  Kozek, Werner ; Pfander, Götz E. ; Zimmermann, Georg:
  Perturbation stability of coherent Riesz systems under convolution operators.
  In: Applied and computational harmonic analysis. 12 (Mai 2002) 3. - S. 286-308.
  ISSN 1063-5203 ; 1096-603x
  10.1006/acha.2001.0375
  (Peer-Review-Journal)
• Charina, Maria ; Jetter, Kurt ; Kehrein, Achim ; Kozek, Werner ; Pfander, Götz E. ; Zimmermann, Georg:
  ISI / ICI comparison of DMT and wavelet based MCM schemes for time invariant channels.
  In: Speidel, Joachim (Hrsg.): Neue Kommunikationsanwendungen in modernen Netzen. - Berlin : VDE, 2002. - S. 109-115. - (ITG-Fachbericht ; 171)
  (Begutachteter Beitrag / peer-reviewed paper)
• 

  

  Benedetto, John ; Pfander, Götz E.:
  Periodic wavelet transforms and periodicity detection.
  In: SIAM journal on applied mathematics. 62 (2002) 4. - S. 1329-1368.
  ISSN 0036-1399 ; 1095-712x
  (Peer-Review-Journal)

2001

• Jetter, Kurt ; Pfander, Götz E. ; Zimmermann, Georg:
  The crest factor of trigonometric polynomials. Part 1: Approximation theoretic results.
  In: Revue d'analyse numérique et de théorie de l'approximation. 30 (2001) 2. - S. 179-195.
  ISSN 1010-3376 ; 1222-9024 ; 2501-059x
  (Peer-Review-Journal)
• Janjić, Tijana:
  Error due to Unresolved Scales in Estimation Problems for Atmospheric Data Assimilation.
  University of Maryland, College Park, USA., 2001

2000

• Kozek, Werner ; Pfander, Götz E. ; Ungermann, Jörn ; Zimmermann, Georg:
  A comparative study of various MCM schemes.
  In: Proceedings of the 5th International OFDM-Workshop 2000, Technische Universität Hamburg-Harburg. - Hamburg, 2000. - 20.1-20.4
  (Begutachteter Beitrag / peer-reviewed paper)
• 

  Pfander, Götz E.:
  Generalized Haar wavelets and frames.
  In: Aldroubi, Akram ; Laine, Andrew F. ; Unser, Michael A. (Hrsg.): Proceedings of SPIE, Wavelet Applications in Signal and Image Processing VIII. - Bellingham, USA : SPIE, 2000
  ISBN 978-0819437648
  10.1117/12.408641
  (Begutachteter Beitrag / peer-reviewed paper)
• 

  Kozek, Werner ; Pfander, Götz E. ; Zimmermann, Georg:
  Perturbation stability of various coherent Riesz families.
  In: Aldroubi, Akram ; Laine, Andrew F. ; Unser, Michael A. (Hrsg.): Proceedings of SPIE, Wavelet Applications in Signal and Image Processing VIII. - Bellingham, USA : SPIE, 2000. - S. 411-419
  ISBN 978-0819437648
  10.1117/12.408627
  (Begutachteter Beitrag / peer-reviewed paper)

1998

• 

  

  Janjić, Tijana:
  Comments on ‘A finite-volume integration method for computing pressure gradient force in general vertical coordinates’ by Shian-Jiann Lin (July B, 1997, 123, 1749-1762).
  In: Quarterly journal of the Royal Meteorological Society. 124 (1998) 551. - S. 2527-2529.
  ISSN 1477-870x ; 0035-9009
  (Peer-Review-Journal)
• 

  Benedetto, John ; Pfander, Götz E.:
  Wavelet periodicity detection algorithms.
  In: Aldroubi, Akram ; Laine, Andrew F. ; Unser, Michael A. (Hrsg.): Proceedings of SPIE, Wavelet Applications in Signal and Image Processing VI. - Bellingham, USA : SPIE, 1998. - S. 48-55
  10.1117/12.328148
  (Begutachteter Beitrag / peer-reviewed paper)

1997

• Benedetto, John ; Pfander, Götz E.:
  Wavelet detection of periodic behaviour in EEG and ECoG Data.
  In: Sydow, Achim (Hrsg.): Proceedings of the 15th IMACS World Congress on Scientific Computation, Modelling and Applied Mathematics, Berlin August 1997. - Berlin : Wissenschaft & Technik, 1997. - S. 75-80
  ISBN 978-3896855503
  (Begutachteter Beitrag / peer-reviewed paper)