Cost function for low-dimensional manifold topology assessment

Abstract In reduced-order modeling, complex systems that exhibit high state-space dimensionality are described and evolved using a small number of parameters. These parameters can be obtained in a data-driven way, where a high-dimensional dataset is projected onto a lower-dimensional basis. A comple...

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Bibliographic Details
Main Authors: Kamila Zdybał, Elizabeth Armstrong, James C. Sutherland, Alessandro Parente
Format: Article
Language:English
Published: Nature Portfolio 2022-08-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-022-18655-1