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08/02/2023
Embedding Capabilities of Neural ODEs
A class of neural networks that gained particular interest in the last y...
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05/09/2023
Persistent synchronization of heterogeneous networks with time-dependent linear diffusive coupling
We study synchronization for linearly coupled temporal networks of heter...
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03/30/2022
Community Integration Algorithms (CIAs) for Dynamical Systems on Networks
Dynamics of large-scale network processes underlies crucial phenomena ra...
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02/10/2022
Computer Validation of Neural Network Dynamics: A First Case Study
A large number of current machine learning methods rely upon deep neural...
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06/15/2021
Warning Signs for Non-Markovian Bifurcations: Color Blindness and Scaling Laws
Warning signs for tipping points (or critical transitions) have been ver...
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02/14/2021
On the reliable and efficient numerical integration of the Kuramoto model and related dynamical systems on graphs
In this work, a novel approach for the reliable and efficient numerical ...
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01/14/2021
Uncertainty Quantification of Bifurcations in Random Ordinary Differential Equations
We are concerned with random ordinary differential equations (RODEs). Ou...
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06/04/2020
Metastable Speeds in the Fractional Allen-Cahn Equation
We study numerically the one-dimensional Allen-Cahn equation with the sp...
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04/25/2018
A Note on Kernel Methods for Multiscale Systems with Critical Transitions
We study the maximum mean discrepancy (MMD) in the context of critical t...
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01/21/2008