Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Glas, Silke"'
We study algorithms called rank-revealers that reveal a matrix's rank structure. Such algorithms form a fundamental component in matrix compression, singular value estimation, and column subset selection problems. While column-pivoted QR has been wid
Externí odkaz:
http://arxiv.org/abs/2405.04330
Using nonlinear projections and preserving structure in model order reduction (MOR) are currently active research fields. In this paper, we provide a novel differential geometric framework for model reduction on smooth manifolds, which emphasizes the
Externí odkaz:
http://arxiv.org/abs/2312.01963
For projection-based linear-subspace model order reduction (MOR), it is well known that the Kolmogorov n-width describes the best-possible error for a reduced order model (ROM) of size n. In this paper, we provide approximation bounds for ROMs on pol
Externí odkaz:
http://arxiv.org/abs/2312.00724
This work presents two novel approaches for the symplectic model reduction of high-dimensional Hamiltonian systems using data-driven quadratic manifolds. Classical symplectic model reduction approaches employ linear symplectic subspaces for represent
Externí odkaz:
http://arxiv.org/abs/2305.15490
Publikováno v:
In Physica D: Nonlinear Phenomena November 2024 468
Classical model reduction techniques project the governing equations onto linear subspaces of the high-dimensional state-space. For problems with slowly decaying Kolmogorov-n-widths such as certain transport-dominated problems, however, classical lin
Externí odkaz:
http://arxiv.org/abs/2112.10815
In the construction of a stellarator, the manufacturing and assembling of the coil system is a dominant cost. These coils need to satisfy strict engineering tolerances, and if those are not met the project could be canceled as in the case of the Nati
Externí odkaz:
http://arxiv.org/abs/2110.07464
Autor:
Alfke, Dominik, Baines, Weston, Blechschmidt, Jan, Sarmina, Mauricio J. del Razo, Drory, Amnon, Elbrächter, Dennis, Farchmin, Nando, Gambara, Matteo, Glas, Silke, Grohs, Philipp, Hinz, Peter, Kivaranovic, Danijel, Kümmerle, Christian, Kutyniok, Gitta, Lunz, Sebastian, Macdonald, Jan, Malthaner, Ryan, Naisat, Gregory, Neufeld, Ariel, Petersen, Philipp Christian, Reisenhofer, Rafael, Sheng, Jun-Da, Thesing, Laura, Trunschke, Philipp, von Lindheim, Johannes, Weber, David, Weber, Melanie
We present a novel technique based on deep learning and set theory which yields exceptional classification and prediction results. Having access to a sufficiently large amount of labelled training data, our methodology is capable of predicting the la
Externí odkaz:
http://arxiv.org/abs/1901.05744
Publikováno v:
In IFAC PapersOnLine 2022 55(20):463-468
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