3 citations · 4 across the 5 of their papers we have counts for
7 papers
Real eternal PDE solutions are not complex entire: a quadratic parabolic example
Bernold Fiedler, Hannes Stuke
In parabolic or hyperbolic PDEs, solutions which remain uniformly bounded for all real times are often called PDE entire or eternal. For example, consider the qu…
Hybrid Bifurcations: Periodicity from Eliminating a Line of Equilibria
Alejandro López-Nieto, Phillipo Lappicy, Nicola Vassena +2
We describe a new mechanism that triggers periodic orbits in smooth dynamical systems. To this end, we introduce the concept of hybrid bifurcations: Such bifurcations occur when a…
Robustness Against Outliers For Deep Neural Networks By Gradient Conjugate Priors
Pavel Gurevich, Hannes Stuke
We analyze a new robust method for the reconstruction of probability distributions of observed data in the presence of output outliers. It is based on a so-called gradient conjugat…
Complex time blow-up of the nonlinear heat equation
Hannes Stuke
This paper investigates the connection between blow-up solutions of scalar reaction-diffusion equations, in particular of and its counterpart - eternally exi…
Gradient conjugate priors and multi-layer neural networks
Pavel Gurevich, Hannes Stuke
The paper deals with learning probability distributions of observed data by artificial neural networks. We suggest a so-called gradient conjugate prior (GCP) update appropriate for…
Pairing an arbitrary regressor with an artificial neural network estimating aleatoric uncertainty
Pavel Gurevich, Hannes Stuke
We suggest a general approach to quantification of different forms of aleatoric uncertainty in regression tasks performed by artificial neural networks. It is based on the simultan…
Global Dynamics, Blow-Up, and Bianchi Cosmology
Nitsan Ben-Gal, Bernhard Brehm, Johannes Buchner +8
Many central problems in geometry, topology, and mathematical physics lead to questions concerning the long-time dynamics of solutions to ordinary and partial differential equation…