Results 211 to 220 of about 3,581,525 (255)

A Data–Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

Journal of nonlinear science, 2014
The Koopman operator is a linear but infinite-dimensional operator that governs the evolution of scalar observables defined on the state space of an autonomous dynamical system and is a powerful tool for the analysis and decomposition of nonlinear ...
Matthew O. Williams, I. Kevrekidis, Clarence W. Rowley   +2 more
semanticscholar   +1 more source

On Convergence of Extended Dynamic Mode Decomposition to the Koopman Operator

Journal of nonlinear science, 2017
Extended dynamic mode decomposition (EDMD) (Williams et al. in J Nonlinear Sci 25(6):1307–1346, 2015) is an algorithm that approximates the action of the Koopman operator on an N-dimensional subspace of the space of observables by sampling at M points in
Milan Korda, I. Mezić
semanticscholar   +1 more source

Data-Driven Model Reduction and Transfer Operator Approximation

Journal of nonlinear science, 2017
In this review paper, we will present different data-driven dimension reduction techniques for dynamical systems that are based on transfer operator theory as well as methods to approximate transfer operators and their eigenvalues, eigenfunctions, and ...
Stefan Klus, F. Nüske, P. Koltai, Hao Wu, I. Kevrekidis, C. Schütte, F. Noé   +6 more
semanticscholar   +1 more source

Approximation by Multivariate Bernstein Operators

Results in Mathematics, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Convolutional Approximations to the General Non-Line-of-Sight Imaging Operator

IEEE International Conference on Computer Vision, 2019
Non-line-of-sight (NLOS) imaging aims to reconstruct scenes outside the field of view of an imaging system. A common approach is to measure the so-called light transients, which facilitates reconstructions through ellipsoidal tomography that involves ...
Byeongjoo Ahn, Akshat Dave, A. Veeraraghavan, Ioannis Gkioulekas, Aswin C. Sankaranarayanan   +4 more
semanticscholar   +1 more source

Approximation by Durrmeyer–Bezier operators

Nonlinear Analysis: Real World Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gupta, Vijay, Mohapatra, R. N.
openaire   +3 more sources

Constructive Approximations of Markov Operators

Journal of Statistical Physics, 2001
The authors propose a class of continuous piecewise linear approximations to Markov operators defined on \(L^1(I^N)\), where \(I^N\equiv [0,1]^N\) is the \(N\)-dimensional unit cube of \(\mathbb{R}^N\), and investigate various properties of such approximations.
Ding, Jiu, Zhou, Aihui
openaire   +1 more source

Approximating by Szsz-Type Operators

2019
Erbay, Hasan/0000-0002-7555 ...
Aral, Ali, Erbay, Hasan
openaire   +2 more sources

Nonlinear Operator Approximation

1976
This paper is concerned with convergence theorems and error bounds for approximate solutions of nonlinear problems, with particular applications to Urysohn integral equations. It is an abbreviated version of a more extensive projected sequel by P.M. Anselone, J. Davis and P.M. Prenter.
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Approximation by Gupta–Păltănea operators

Afrika Matematika
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Agrawal, P. N., Kajla, Arun, Kumar, Dharmendra   +2 more
openaire   +1 more source