Algorithmic (Semi-)Conjugacy via Koopman Operator Theory
Autor: | Redman, William T., Fonoberova, Maria, Mohr, Ryan, Kevrekidis, Ioannis G., Mezić, Igor |
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Rok vydání: | 2022 |
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Druh dokumentu: | Working Paper |
Popis: | Iterative algorithms are of utmost importance in decision and control. With an ever growing number of algorithms being developed, distributed, and proprietarized, there is a similarly growing need for methods that can provide classification and comparison. By viewing iterative algorithms as discrete-time dynamical systems, we leverage Koopman operator theory to identify (semi-)conjugacies between algorithms using their spectral properties. This provides a general framework with which to classify and compare algorithms. Comment: 6 pages, 5 figures, accepted to IEEE CDC 2022 |
Databáze: | arXiv |
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