Analysis of the Ill-Conditioning of the Discrete Inverse Laplace transform in Monte Carlo Simulations of Quantum Many-Body SystemsPhil-Alexander Hofmann, Thomas Chuna, Tobias Dornheim, Michael Hecht2026-09-07 · arXiv
Mitigating Numerical Stiffness in Least-Squares Formulations of Elliptic PDEs for Physics-Informed Neural NetworksPhil-Alexander Hofmann, Michael Hecht2026-07-02 · arXiv
Discovering a well-conditioned analytic continuation problem via dictionary learningThomas Chuna, Phil-Alexander Hofmann, Alexander Benedix-Robles, Tobias Dornheim2026-06-17 · arXiv
Accelerating Multivariate Newton Interpolation in Downward Closed Polynomial SpacesPhil-Alexander Hofmann, Michael Hecht2025-05-20 · arXiv
Second roton feature in the strongly coupled electron liquidThomas M Chuna, Jan Vorberger, Panagiotis Tolias, Alexander Benedix Robles, Michael Hecht, Phil-Alexander Hofmann, Zhandos A Moldabekov, Tobias Dornheim2025-05-16 · arXiv
PyLIT: Reformulation and implementation of the analytic continuation problem using kernel representation methodsAlexander Benedix Robles, Phil-Alexander Hofmann, Thomas M Chuna, Tobias Dornheim, Michael Hecht2025-05-15 · arXiv
Multivariate Newton Interpolation in Downward Closed Spaces Reaches the Optimal Geometric Approximation Rates for Bos-Levenberg-Trefethen FunctionsMichael Hecht, Phil-Alexander Hofmann, Damar Wicaksono, Uwe Hernandez Acosta, Krzysztof Gonciarz, Jannik Kissinger, Vladimir Sivkin, Ivo F. Sbalzarini2025-04-24 · arXiv
Learning Partial Differential Equations by Spectral Approximates of General Sobolev SpacesJuan-Esteban Suarez Cardona, Phil-Alexander Hofmann, Michael Hecht2023-01-12 · arXiv