On the Koopman Operator of Algorithms

DOI10.1137/19M1277059zbMath1437.47048arXiv1907.10807MaRDI QIDQ5109369

Ioannis G. Kevrekidis, Thomas N. Thiem, Felix Dietrich

Publication date: 11 May 2020

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.10807

zbMATH Keywords

Newton-Raphson methodKoopman operatorextended dynamic mode decompositionNesterov methodgradient descent optimizationEDMD algorithm

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) One-parameter semigroups and linear evolution equations (47D06) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Numerical solutions to abstract evolution equations (65J08)

Related Items (8)

Numerical methods to evaluate Koopman matrix from system equations* ⋮ Modern Koopman Theory for Dynamical Systems ⋮ Quantum process tomography of unitary maps from time-delayed measurements ⋮ A Recursively Recurrent Neural Network (R2N2) Architecture for Learning Iterative Algorithms ⋮ Data-driven control of agent-based models: an equation/variable-free machine learning approach ⋮ Neural dynamic mode decomposition for end-to-end modeling of nonlinear dynamics ⋮ Dynamical Systems Theory and Algorithms for NP-hard Problems ⋮ On Koopman mode decomposition and tensor component analysis

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