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07/25/2023
Differential approximation of the Gaussian by short cosine sums with exponential error decay
In this paper we propose a method to approximate the Gaussian function o...
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07/29/2022
Spline Representation and Redundancies of One-Dimensional ReLU Neural Network Models
We analyze the structure of a one-dimensional deep ReLU neural network (...
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04/07/2022
ESPRIT versus ESPIRA for reconstruction of short cosine sums and its application
In this paper we introduce two new algorithms for stable approximation w...
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06/29/2021
From ESPRIT to ESPIRA: Estimation of Signal Parameters by Iterative Rational Approximation
We introduce a new method for Estimation of Signal Parameters based on I...
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03/13/2021
Exact Reconstruction of Extended Exponential Sums using Rational Approximation of their Fourier Coefficients
In this paper we derive a new recovery procedure for the reconstruction ...
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11/26/2020
Exact Reconstruction of Sparse Non-Harmonic Signals from Fourier Coefficients
In this paper, we derive a new reconstruction method for real non-harmon...
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04/23/2020
Optimal Rank-1 Hankel Approximation of Matrices: Frobenius Norm, Spectral Norm and Cadzow's Algorithm
In this paper we derive optimal rank-1 approximations with Hankel or Toe...
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04/23/2020
Deterministic Sparse Sublinear FFT with Improved Numerical Stability
In this paper we extend the deterministic sublinear FFT algorithm for fa...
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01/10/2020
Modifications of Prony's Method for the Recovery and Sparse Approximation of Generalized Exponential Sums
In this survey we describe some modifications of Prony's method. In part...
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12/19/2019
Parseval Proximal Neural Networks
The aim of this paper is twofold. First, we show that a certain concaten...
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09/07/2019
