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09/15/2023
Ensuring Toplogical Data-Structure Preservation under Autoencoder Compression due to Latent Space Regularization in Gauss–Legendre nodes
We formulate a data independent latent space regularisation constraint f...
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09/01/2023
Polynomial-Model-Based Optimization for Blackbox Objectives
For a wide range of applications the structure of systems like Neural Ne...
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01/12/2023
Learning Partial Differential Equations by Spectral Approximates of General Sobolev Spaces
We introduce a novel spectral, finite-dimensional approximation of gener...
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12/22/2022
Multivariate Polynomial Regression of Euclidean Degree Extends the Stability for Fast Approximations of Trefethen Functions
We address classic multivariate polynomial regression tasks from a novel...
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12/22/2022
Global Polynomial Level Sets for Numerical Differential Geometry of Smooth Closed Surfaces
We present a computational scheme that derives a global polynomial level...
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11/23/2022
Replacing Automatic Differentiation by Sobolev Cubatures fastens Physics Informed Neural Nets and strengthens their Approximation Power
We present a novel class of approximations for variational losses, being...
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06/10/2021
InFlow: Robust outlier detection utilizing Normalizing Flows
Normalizing flows are prominent deep generative models that provide trac...
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10/21/2020
Multivariate Interpolation on Unisolvent Nodes – Lifting the Curse of Dimensionality
We present generalizations of the classic Newton and Lagrange interpolat...
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01/06/2020
