Search Results for author: Wolfgang Nowak

Found 5 papers, 3 papers with code

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

no code implementations26 Jun 2023 Sergey Oladyshkin, Timothy Praditia, Ilja Kröker, Farid Mohammadi, Wolfgang Nowak, Sebastian Otte

However, for a majority of deep learning approaches based on DANNs, the kernel structure of neural signal processing remains the same, where the node response is encoded as a linear superposition of neural activity, while the non-linearity is triggered by the activation functions.

A fully Bayesian sparse polynomial chaos expansion approach with joint priors on the coefficients and global selection of terms

1 code implementation12 Apr 2022 Paul-Christian Bürkner, Ilja Kröker, Sergey Oladyshkin, Wolfgang Nowak

Polynomial chaos expansion (PCE) is a versatile tool widely used in uncertainty quantification and machine learning, but its successful application depends strongly on the accuracy and reliability of the resulting PCE-based response surface.

Uncertainty Quantification Variable Selection

Composing Partial Differential Equations with Physics-Aware Neural Networks

1 code implementation23 Nov 2021 Matthias Karlbauer, Timothy Praditia, Sebastian Otte, Sergey Oladyshkin, Wolfgang Nowak, Martin V. Butz

We introduce a compositional physics-aware FInite volume Neural Network (FINN) for learning spatiotemporal advection-diffusion processes.

Out-of-Distribution Generalization

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