Centering Data Improves the Dynamic Mode Decomposition
From MaRDI portal
Publication:4983495
DOI10.1137/19M1289881zbMath1465.37092arXiv1906.05973OpenAlexW3081317218MaRDI QIDQ4983495
Kameron Decker Harris, Seth M. Hirsh, Bingni W. Brunton, J. Nathan Kutz
Publication date: 20 April 2021
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.05973
Related Items (6)
Model order reduction for gas and energy networks ⋮ Modern Koopman Theory for Dynamical Systems ⋮ Hierarchical higher-order dynamic mode decomposition for clustering and feature selection ⋮ Statistical modeling and an adaptive averaging technique for strong convergence of the dynamic mode decomposition ⋮ Time-Varying Autoregression with Low-Rank Tensors ⋮ Strong consistency of the projected total least squares dynamic mode decomposition for datasets with random noise
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Applications of the dynamic mode decomposition
- A data-driven approximation of the koopman operator: extending dynamic mode decomposition
- The exponential Vandermonde matrix
- Principal component analysis.
- Variants of dynamic mode decomposition: boundary condition, Koopman, and Fourier analyses
- Eigenvalues of rank-one updated matrices with some applications
- On dynamic mode decomposition: theory and applications
- Dynamic Mode Decomposition with Control
- Multiresolution Dynamic Mode Decomposition
- The Optimal Hard Threshold for Singular Values is <inline-formula> <tex-math notation="TeX">\(4/\sqrt {3}\) </tex-math></inline-formula>
- Robust principal component analysis?
- Dynamic mode decomposition of numerical and experimental data
- Spectral analysis of nonlinear flows
- Mean field representation of the natural and actuated cylinder wake
- Ten Lectures on Wavelets
- A hierarchy of low-dimensional models for the transient and post-transient cylinder wake
- Dynamic mode decomposition for financial trading strategies
- Ergodic Theory, Dynamic Mode Decomposition, and Computation of Spectral Properties of the Koopman Operator
- Variable Projection Methods for an Optimized Dynamic Mode Decomposition
- Deterministic Nonperiodic Flow
- Analysis of Fluid Flows via Spectral Properties of the Koopman Operator
- Online Dynamic Mode Decomposition for Time-Varying Systems
- Adjustment of an Inverse Matrix Corresponding to a Change in One Element of a Given Matrix
- The principle of minimized iterations in the solution of the matrix eigenvalue problem
- Generalization of Vandermonde determinants
This page was built for publication: Centering Data Improves the Dynamic Mode Decomposition