Results 101 to 110 of about 1,063,107 (310)
IET Control Theory & Applications, 2023 This paper proposes a data‐driven sensor fault detection and isolation approach for the general class of nonlinear systems. The proposed method uses deep neural network architecture to obtain an invariant set of basis functions for the Koopman operator ...
Mohammadhosein Bakhtiaridoust +3 more
doaj +1 more source
Study of the Hypergeometric Equation via Data Driven Koopman-EDMD Theory
Axioms, 2023 We consider a data-driven method, which combines Koopman operator theory with Extended Dynamic Mode Decomposition. We apply this method to the hypergeometric equation which is the Fuchsian equation with three regular singular points.
Evangelos Melas +4 more
doaj +1 more source
On Gaussian Process Based Koopman Operators
IFAC-PapersOnLine, 2020 Abstract Enabling analysis of non-linear systems in linear form, the Koopman operator has been shown to be a powerful tool for system identification and controller design. However, current data-driven methods cannot provide quantification of model uncertainty given the learnt model.
Yingzhao Lian, Colin N. Jones
openaire +2 more sources
, 2012 A majority of methods from dynamical systems analysis, especially those in applied settings, rely on Poincar\'e's geometric picture that focuses on "dynamics of states".
Budišić, Marko +2 more
core +1 more source
Operating Capacity, Pricing and Supply Elasticity in Container Shipping Markets
International Journal of Finance &Economics, EarlyView.ABSTRACT We investigate the channels through which changes in operating capacity influence freight rates in the container shipping market using a novel dataset to create an operating capacity index at the shipping‐route level. Our analysis reveals that when supply elasticity is low, an increase in operating capacity tends to drive freight rates upward,
Cong Sui +3 more
wiley +1 more source
Functional dimensionality of Koopman eigenfunction space
Results in Applied MathematicsThis work presents the general form solution of Koopman Partial Differential Equation for an autonomous system of N ordinary differential equations. We identify a domain in RN for which any number in the complex plane is an eigenvalue of the Koopman ...
Ido Cohen +2 more
doaj +1 more source
Slow Expectation–Maximization Convergence in Low‐Noise Dynamic Factor Models
Journal of Applied Econometrics, EarlyView.ABSTRACT This paper addresses the slow convergence of the expectation–maximization (EM) algorithm in the estimation of low‐noise dynamic factor models, commonly used in macroeconomic nowcasting and forecasting. We show analytically and in Monte Carlo simulations how the EM algorithm stagnates in a low‐noise environment, leading to inaccurate estimates ...
Daan Opschoor, Dick van Dijk
wiley +1 more source
Data-Driven Approximation of Transfer Operators: Naturally Structured Dynamic Mode Decomposition
, 2017 In this paper, we provide a new algorithm for the finite dimensional approximation of the linear transfer Koopman and Perron-Frobenius operator from time series data.
froyland, klus, lasota, mezi?, surana
core +1 more source
Free Walking Tours: A Game Theoretical Approach
Managerial and Decision Economics, EarlyView.ABSTRACT Free guided walking tours are becoming increasingly common in cities that are popular tourist destinations. We use game theoretical tools to model and analyze the competition between several tour operators competing in one destination. The model consists of two stages: In the first, each operator decides on the level of effort to invest in ...
Yizhaq Minchuk, Baruch Keren
wiley +1 more source
Nano Select, EarlyView.This study develops a moving horizon estimator for real‐time prediction of AZO nanoparticle properties during sol‐gel synthesis, integrating UV‐vis spectroscopy with a simplified PBE model via DMDc. The method accurately estimates PSD, showing strong agreement with offline data and supporting modern model‐based control to enhance synthesis quality ...
Guohui Yang +3 more
wiley +1 more source