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Prof. Dr. Michael Hecht
Prof. Dr. Michael Hecht
CASUS - Center for Advanced systems Understanding & Matheamtical Institute, University Wrocław
Verified email at hzdr.de - Homepage
Title
Cited by
Cited by
Year
Multivariate Interpolation on Unisolvent Nodes--Lifting the Curse of Dimensionality
M Hecht, K Gonciarz, J Michelfeit, V Sivkin, IF Sbalzarini
arXiv preprint arXiv:2010.10824, 2020
162020
Multivariate Newton interpolation
M Hecht, KB Hoffmann, BL Cheeseman, IF Sbalzarini
arXiv preprint arXiv:1812.04256, 2018
162018
Fast interpolation and Fourier transform in high-dimensional spaces
M Hecht, IF Sbalzarini
Science and Information Conference, 53-75, 2018
162018
A quadratic-time algorithm for general multivariate polynomial interpolation
M Hecht, BL Cheeseman, KB Hoffmann, IF Sbalzarini
arXiv preprint arXiv:1710.10846, 2017
142017
Exact localisations of feedback sets
M Hecht
Theory of Computing Systems 62, 1048-1084, 2018
132018
Extraction of the frequency moments of spectral densities from imaginary-time correlation function data
T Dornheim, DC Wicaksono, JE Suarez-Cardona, P Tolias, MP Böhme, ...
Physical Review B 107 (15), 155148, 2023
92023
Multivariate polynomial regression of Euclidean degree extends the stability for fast approximations of Trefethen functions
SKT Veettil, Y Zheng, UH Acosta, D Wicaksono, M Hecht
arXiv preprint arXiv:2212.11706, 2022
72022
InFlow: Robust outlier detection utilizing normalizing flows
N Kumar, P Hanfeld, M Hecht, M Bussmann, S Gumhold, N Hoffmann
arXiv preprint arXiv:2106.12894, 2021
72021
Tight localizations of feedback sets
M Hecht, K Gonciarz, S Horvát
Journal of Experimental Algorithmics (JEA) 26, 1-19, 2021
62021
Replacing automatic differentiation by sobolev cubatures fastens physics informed neural nets and strengthens their approximation power
JES Cardona, M Hecht
arXiv preprint arXiv:2211.15443, 2022
42022
A generalization of the most common subgraph distance and its application to graph editing
M Hecht
Pattern Recognition Letters 87, 71-78, 2017
42017
Isomorphic chain complexes of Hamiltonian dynamics on tori
M Hecht
Journal of Fixed Point Theory and Applications 14, 165-221, 2013
42013
A note on the rate of convergence of integration schemes for closed surfaces
G Zavalani, E Shehu, M Hecht
Computational and Applied Mathematics 43 (2), 1-17, 2024
12024
High-Order Integration on regular triangulated manifolds reaches Super-Algebraic Approximation Rates through Cubical Re-parameterizations
G Zavalani, O Sander, M Hecht
arXiv preprint arXiv:2311.13909, 2023
12023
UQTestFuns: A Python3 library of uncertainty quantification (UQ) test functions
D Wicaksono, M Hecht
Journal of Open Source Software 8 (90), 5671, 2023
12023
Global polynomial level sets for numerical differential geometry of smooth closed surfaces
SKT Veettil, G Zavalani, UH Acosta, IF Sbalzarini, M Hecht
SIAM Journal on Scientific Computing 45 (4), A1995-A2018, 2023
12023
Learning Partial Differential Equations by Spectral Approximates of General Sobolev Spaces
JES Cardona, PA Hofmann, M Hecht
arXiv preprint arXiv:2301.04887, 2023
12023
High-order numerical integration on regular embedded surfaces
G Zavalani, M Hecht
arXiv preprint arXiv:2403.09178, 2024
2024
PMBO: Enhancing Black-Box Optimization through Multivariate Polynomial Surrogates
J Schreiber, P Batlle, D Wicaksono, M Hecht
arXiv preprint arXiv:2403.07485, 2024
2024
Polynomial differentiation decreases the training time complexity of physics-informed neural networks and strengthens their approximation power
JES Cardona, M Hecht
Machine Learning: Science and Technology 4 (4), 045005, 2023
2023
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