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Stability selection enables robust learning of partial differential equations from limited noisy data, , , and . (2019)Inverse Dirichlet weighting enables reliable training of physics informed neural networks, , , and . Machine learning: science and technology, (Feb 15, 2022)Funding Information: This work was supported by the German Research Foundation (DFG) – EXC-2068, Cluster of Excellence ‘Physics of Life’, and by the Center for Scalable Data Analytics and Artificial Intelligence (ScaDS.AI) Dresden/Leipzig, funded by the Federal Ministry of Education and Research (BMBF). The present work was also partly funded by the Center for Advanced Systems Understanding (CASUS), which is financed by Germany’s Federal Ministry of Education and Research (BMBF) and by the Saxon Ministry for Science, Culture and Tourism (SMWK) with tax funds on the basis of the budget approved by the Saxon State Parliament. Publisher Copyright: © 2022 The Author(s). Published by IOP Publishing Ltd..Adaptive weighting of Bayesian physics informed neural networks for multitask and multiscale forward and inverse problems, , , and . Journal of computational physics, (Oct 15, 2023)Publisher Copyright: © 2023 The Author(s).STENCIL-NET for equation-free forecasting from data, , , , and . Scientific reports, (December 2023)Publisher Copyright: © 2023, Springer Nature Limited..Learning physically consistent differential equation models from data using group sparsity, , , and . Physical Review E, (April 2021)Publisher Copyright: © 2021 authors..Stability selection enables robust learning of differential equations from limited noisy data, , , and . Proceedings of the Royal Society of London : Series A, Mathematical, physical and engineering sciences, (June 2022)Publisher Copyright: © 2022 Royal Society Publishing. All rights reserved..Parallel Discrete Convolutions on Adaptive Particle Representations of Images, , , , and . IEEE Transactions on Image Processing, (Jan 1, 2022)Publisher Copyright: © 1992-2012 IEEE..Learning computable models from data, , , , and . (2021)Publisher Copyright: © 2021, Univelt Inc., All rights reserved.; 14th World Congress of Computational Mechanics and ECCOMAS Congress, WCCM-ECCOMAS 2020 ; Conference date: 11-01-2021 Through 15-01-2021.STENCIL-NET: Data-driven solution-adaptive discretization of partial differential equations, , , , and . WorkingPaper, (Jan 15, 2021)Learning locally dominant force balances in active particle systems, , and . CoRR, (2023)