Publications

International journals

Gerlind Plonka, Yannick Riebe, and Yurii Kolomoitsev. Spline Representation and Redundancies of One-Dimensional ReLU Neural Network Models. Preprint, 2022.

Nadiia Derevianko, Gerlind Plonka, and Markus Petz. From ESPRIT to ESPIRA: Estimation of Signal Parameters by Iterative Rational Approximation. IMA Journal of Numerical Analysis, accepted for publication, 2022.

Nadiia Derevianko, Gerlind Plonka, and Raha Razavi. ESPRIT versus ESPIRA for reconstruction of short cosine sums and its application. Numerical Algorithms, accepted for publication, 2022.

Bernhard Beckermann, Joanna Bisch, and Robert Luce. On the rational approximation of Markov functions, with applications to the computation of Markov functions of Toeplitz matrices. Numerical Algorithms, 91, 109-144, 2022.

Nadiia Derevianko and Gerlind Plonka. Exact Reconstruction of Extended Exponential Sums Using Rational Approximation of their Fourier Coefficients. Analysis and Applications, 20(3), 543-577, 2022 (open access).

Annie Cuyt, Yuan Hou, and Wen-shin Lee. Validated analysis of modulated signals: from de Prony to Padé and beyond. J. Comp. Appl. Math., 413: Article 114346, 2022.

Bernhard Beckermann, Alice Cortinovis, Daniel Kressner, and Marcel Schweitzer. Low-rank updates of matrix functions II: Rational Krylov methods. SIAM Journal on Numerical Analysis, 59, 1325-1347, 2021.

Bernhard Beckermann, Mihai Putinar, Edward B. Saff, and Nikos Stylianopoulos. Perturbations of Christoffel-Darboux kernels: detection of outliers. Foundations of Computational Mathematics, 21, 71-124, 2021.

Hanna Knirsch, Markus Petz, and Gerlind Plonka. Optimal Rank-1 Hankel Approximation of Matrices: Frobenius Norm and Spectral Norm and Cadzow's Algorithm. Linear Algebra and its Applications, 629, 1-39. 2021.

Markus Petz, Gerlind Plonka, and Nadiia Derevianko. Exact Reconstruction of Sparse Non-Harmonic Signals from their Fourier Coefficients. Sampling Theory, Signal Processing, and Data Analysis, 19, 7, 2021 (open access).

Ridalise Louw, Ferre Knaepkens, Annie Cuyt, Wen-shin Lee, Stefan J. Wijnholds, Dirk I. L. de Villiers, and Rina-Mari Weideman. Antenna position estimation through sub-sampled exponential analysis of signals in the near-field. Radio Science Letters, 3, 2021.

Refereed proceedings

Rina-Mari Weideman, Ridalise Louw, Ferre Knaepkens, Dirk I. L. de Villiers, Annie Cuyt, and Wen-shin Lee. Simulated performance of antenna position estimation through sub-sampled exponential analysis. International Conference on Electromagnetics in Advanced Applications (ICEAA), Cape Town, South Africa, September 2022, in press.

Yuan Hou, Annie Cuyt, Wen-shin Lee, and Deepayan Bhowmik. Decomposing textures using exponential analysis. In IEEE ICASSP 2021 Proceedings, pages 1920–1924, 2021.

Ridalise Louw, Ferre Knaepkens, Annie Cuyt, Wen-shin Lee, Stefan J. Wijnholds, Dirk I. L. de Villiers, and Rina-Mari Weideman. Antenna position estimation through sub-sampled exponential analysis of harmonically related input signals. In URSI–GASS 2021 Proceedings, pages 1–5. IEEE, 2021.

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