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Chaos 33, 032101 (2023)33, 032101 (2023) 2023 Author(s). Published under an exclusive license by AIP Publishing. |
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Peer Reviewed Q1 Journal as rated in SJR Acknowledging the centre and awarded status as a "Featured" article. It's currently on the Journal's front page: https://aip.scitation.org/journal/cha Michael. |
| This paper has three main objectives. # First, to provide a simple overview of the challenges of selecting good embedding parameters. # Second, to collate and compare the various popular methods across the dynamics-topology spectrum that have been proposed to tackle the problem of embedding parameter selection. We will focus on the particular case of optimizing time delay embedding. # Finally, to present a different approach based on the growing field of persistent homology—the significance score—that attempts to incorporate both dynamical and topological arguments into selection of embedding parameters. |
