Dynamic Mode Decomposition (DMD): An Overview of the Mathematical Technique and Its Applications

What is DMD?

Dynamic Mode Decomposition (DMD) is a data-driven method used to analyze and extract dynamic behavior from high-dimensional data sets. It is a powerful tool for studying fluid dynamics, image processing, and other complex systems. DMD is based on the Singular Value Decomposition (SVD) of a data matrix, and it provides a low-dimensional approximation of the original system.

This article will explain the key concepts behind DMD, including SVD and other related techniques, and provide ...