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05/23/2023
A Block-Coordinate Approach of Multi-level Optimization with an Application to Physics-Informed Neural Networks
Multi-level methods are widely used for the solution of large-scale prob...
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12/07/2021
A coarse space acceleration of deep-DDM
The use of deep learning methods for solving PDEs is a field in full exp...
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04/06/2021
Hölder Gradient Descent and Adaptive Regularization Methods in Banach Spaces for First-Order Points
This paper considers optimization of smooth nonconvex functionals in smo...
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04/01/2021
Latent Space Data Assimilation by using Deep Learning
Performing Data Assimilation (DA) at a low cost is of prime concern in E...
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10/19/2020
DAN – An optimal Data Assimilation framework based on machine learning Recurrent Networks
Data assimilation algorithms aim at forecasting the state of a dynamical...
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10/31/2019
On the iterative solution of systems of the form A^T A x=A^Tb+c
Given a full column rank matrix A ∈R^m× n (m≥ n), we consider a special ...
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07/24/2019
Exploiting variable precision in GMRES
We describe how variable precision floating point arithmetic can be used...
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04/09/2019