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arXiv · 2209.06374

Algorithmic (Semi-)Conjugacy via Koopman Operator Theory

William T. Redman·Maria Fonoberova·Ryan Mohr·Ioannis G. Kevrekidis·Igor Mezić
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Abstract

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.

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William T. Redman, Maria Fonoberova, Ryan Mohr, Ioannis G. Kevrekidis, Igor Mezić. 2022-09-14. Algorithmic (Semi-)Conjugacy via Koopman Operator Theory. https://arxiv.org/abs/2209.06374

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