Yannick Riebe

activity

20222026

collaborators

3 papers

math.NA2026

Approximation by short exponential sums with geometric error decay based on Gauss quadrature

Gerlind Plonka, Yannick Riebe, Annie Cuyt

We present new short exponential sum approximations of length $N$ for $f_{1} (x) = \frac{1}{a + x}$ with $a > 0$ on $[0, \infty)$ and for $f_{2} (x) = e^{- x^{2} /2 σ}$ with $σ > 0$ on ${\ma…

math.NA2024

MOCCA: A Fast Algorithm for Parallel MRI Reconstruction Using Model Based Coil Calibration

Gerlind Plonka, Yannick Riebe

We propose a new fast algorithm for simultaneous recovery of the coil sensitivities and of the magnetization image from incomplete Fourier measurements in parallel MRI. Our approac…

math.NA2022

Spline Representation and Redundancies of One-Dimensional ReLU Neural Network Models

Gerlind Plonka, Yannick Riebe, Yurii Kolomoitsev

We analyze the structure of a one-dimensional deep ReLU neural network (ReLU DNN) in comparison to the model of continuous piecewise linear (CPL) spline functions with arbitrary kn…