activity
20232026
most citedThe Deep Arbitrary Polynomial Chaos Neural Network or how Deep Artificial Neural Networks could benefit from Data-Driven Homogeneous Chaos Theory

9 citations · 9 across the 5 of their papers we have counts for

collaborators

5 papers

math.NA2026

Fast Karhunen-Loève Expansions via FFT-Accelerated Toeplitz Operators

Nils Wildt, Wolfgang Nowak

Gaussian random fields are a versatile tool used in the fields of stochastic PDEs, uncertainty quantification, and geostatistical simulation. One way to obtain them is to use a tru…

cs.LG2025

CODE: A global approach to ODE dynamics learning

Nils Wildt, Daniel M. Tartakovsky, Sergey Oladyshkin +1

Ordinary differential equations (ODEs) are a conventional way to describe the observed dynamics of physical systems. Scientists typically hypothesize about dynamical behavior, prop…

cs.LG2024

Inferring Underwater Topography with FINN

Coşku Can Horuz, Matthias Karlbauer, Timothy Praditia +3

Spatiotemporal partial differential equations (PDEs) find extensive application across various scientific and engineering fields. While numerous models have emerged from both physi…

quant-ph2024

Overdispersion in gate tomography: Experiments and continuous, two-scale random walk model on the Bloch sphere

Wolfgang Nowak, Tim Brünnette, Merel Schalkers +1

Noisy intermediate-scale quantum computers (NISQ) are in their childhood, but showing high promise. One main concern for NISQ machines is their inherent noisiness, as the qubit sta…

cs.NE2023★ 9 cited

The Deep Arbitrary Polynomial Chaos Neural Network or how Deep Artificial Neural Networks could benefit from Data-Driven Homogeneous Chaos Theory

Sergey Oladyshkin, Timothy Praditia, Ilja Kröker +3

Artificial Intelligence and Machine learning have been widely used in various fields of mathematical computing, physical modeling, computational science, communication science, and…