TY - GEN A1 - Schütte, Christof A1 - Klus, Stefan A1 - Hartmann, Carsten T1 - Overcoming the Timescale Barrier in Molecular Dynamics: Transfer Operators, Variational Principles, and Machine Learning T2 - Acta Numerica Y1 - 2023 U6 - https://doi.org/10.1017/S0962492923000016 SN - 1474-0508 SN - 0962-4929 VL - Vol. 32 SP - 517 EP - 673 ER - TY - GEN A1 - Saci, Akram A1 - Redjil, Amel A1 - Boutabia, Hacene A1 - Kebiri, Omar T1 - Fractional stochastic differential equations driven by G-Brownian motion with delays T2 - Probability and Mathematical Statistics Y1 - 2023 U6 - https://doi.org/10.37190/0208-4147.00092 SN - 0208-4147 VL - 43 IS - 1 SP - 1 EP - 21 ER - TY - GEN A1 - Ben Gherbal, Hanane A1 - Redjil, Amel A1 - Kebiri, Omar T1 - The relaxed maximum principle for G-stochastic control systems with controlled jumps T2 - Advances in Mathematics: Scientific Journal Y1 - 2022 U6 - https://doi.org/10.37418/amsj.11.12.11 SN - 1857-8365 VL - 11 IS - 12 SP - 1313 EP - 1343 ER - TY - GEN A1 - Huber-Liebl, Markus A1 - Rosenow, Tillmann A1 - Römer, Ronald A1 - Wirsching, Günther A1 - Wolff, Matthias ED - Grawunder, Sven T1 - It all starts with a little difference : tensors as data and code. T2 - Elektronische Sprachsignalverarbeitung 2025 : Tagungsband der 36. Konferenz Halle/Saale, 5.–7. März 2025 N2 - We further promote the idea of quantum inspiration and propose to equip cognitive systems not only with tensors for data representation but also for operation representation. We argue that these are two sides of the same coin. For experimental symbolic algorithms we introduce a suitable testbed and give its proper specification. We formalize our method of behavioural control with tensor algebra and discuss its implementation for our physical testbed realization. Y1 - 2025 UR - https://www.essv.de/pdf/2025_170_179.pdf?id=1250 SN - 978-3-95908-803-9 SN - 0940-6832 SP - 170 EP - 179 PB - TUDpress CY - Dresden ER - TY - GEN A1 - Maier, Isidor Konrad A1 - Rosenow, Tillmann A1 - Tuuri, Okko A1 - Wolff, Matthias ED - Grawunder, Sven T1 - Frequency-magnitude relation of numeral words based on search-engine results T2 - Elektronische Sprachsignalverarbeitung, Tagungsband der 36. Konferenz, 05.-07.03.2025, Halle/Saale N2 - We googled various numeral words from 28 languages. Different approaches for the description of the data were investigated. In all of the 28 languages, the found frequency-magnitude dependence fits better to a power law than to an exponential law. The result can be used to distinguish grammatically correct from incorrect numerals based on the prediction of search results. Y1 - 2025 UR - http://www.essv.de SN - 978-3-95908-803-9 SN - 0940-6832 SP - 51 EP - 60 PB - TUDpress CY - Dresden ER - TY - GEN A1 - Delle Site, Luigi A1 - Hartmann, Carsten T1 - Computationally feasible bounds for the free energy of nonequilibrium steady states, applied to simple models of heat conduction T2 - Molecular Physics Y1 - 2024 U6 - https://doi.org/10.1080/00268976.2024.2391484 SN - 0026-8976 PB - Informa UK Limited ER - TY - JOUR A1 - Hartmann, Carsten A1 - Richter, Lorenz T1 - Nonasymptotic Bounds for Suboptimal Importance Sampling JF - SIAM/ASA Journal on Uncertainty Quantification Y1 - 2024 U6 - https://doi.org/10.1137/21M1427760 SN - 2166-2525 VL - 12 IS - 2 SP - 309 EP - 346 PB - Society for Industrial & Applied Mathematics (SIAM) ER - TY - JOUR A1 - Delle Site, Luigi A1 - Hartmann, Carsten T1 - Scaling law for the size dependence of a finite-range quantum gas JF - Physical Review A Y1 - 2024 U6 - https://doi.org/10.1103/PhysRevA.109.022209 SN - 2469-9926 VL - 109 IS - 2 PB - American Physical Society (APS) ER - TY - GEN A1 - Reible, Benedikt A1 - Hille, Julian F. A1 - Hartmann, Carsten A1 - Delle Site, Luigi T1 - Finite size effects and thermodynamic accuracy in many-particle systems T2 - Physical Review Research Y1 - 2023 U6 - https://doi.org/10.1103/PhysRevResearch.5.023156 SN - 2643-1564 VL - 5 IS - 2 SP - 023156-1 EP - 023156-8 ER - TY - GEN A1 - Reible, Benedikt A1 - Hartmann, Carsten A1 - Delle Site, Luigi T1 - Two-sided Bogoliubov inequality to estimate finite-size effects in quantum molecular simulations T2 - Letters in Mathematical Physics Y1 - 2022 U6 - https://doi.org/10.1007/s11005-022-01586-3 SN - 1573-0530 SN - 0377-9017 VL - 112 IS - 5 SP - 1 EP - 17 ER -