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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..Model-based autotuning of discretization methods in numerical simulations of partial differential equations, , , , and . Journal of Computational Science, (January 2022)Stability selection enables robust learning of partial differential equations from limited noisy data, , , and . (2019)Quantifying Molecular Dynamics within Complex Cellular Morphologies using LLSM?FRAP (Small Methods 6/2022), , , , , , , , and . Small Methods, (June 2022)Analysis of the Hamiltonian Monte Carlo genotyping algorithm on PROVEDIt mixtures including a novel precision benchmark, and . Forensic Science International: Genetics, (2023)A Gaussian jump process formulation of the reaction�diffusion master equation enables faster exact stochastic simulations, and . The Journal of Chemical Physics, (November 2022)Roadmap on Deep Learning for Microscopy, , , , , , , , , and 65 other author(s). (2023)Content-adaptive generation and parallel compositing of volumetric depth images for responsive visualization of large volume data, , , , , , , and . WorkingPaper, (Jun 29, 2022)A Mathematical Definition of Particle Methods, and . WorkingPaper, (May 12, 2021)Entropically damped artificial compressibility for the discretization corrected particle strength exchange method in incompressible fluid mechanics, , and . Computers & Fluids, (December 2023)