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Principal Component Analysis (PCA)

Steve Brunton
13 min
Beginner
Video
Theory

Principal component analysis (PCA) is a workhorse algorithm in statistics, where dominant correlation patterns are extracted from high-dimensional data.

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Routh Array and Stability

Vincent Stevenson
7 min
Beginner
Video
Theory

I show how we can find the range of allowed controller gains for a system that will allow us to maintain stability using a Routh Array.

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Stability and Eigenvalues [Control Bootcamp]

Steve Brunton
19 min
Beginner
Video
Theory

Here we discuss the stability of a linear system (in continuous-time or discrete-time) in terms of eigenvalues. Later, we will actively modify these eigenvalues, and hence the dynamics...

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SVD: Eigenfaces 4 [Matlab]

Steve Brunton
6 min
Intermediate
Video
Application

This video describes how the singular value decomposition (SVD) can be used to efficiently represent human faces, in the so-called "eigenfaces" (Matlab code, part 4).

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Derivation of the 2D Wave Equation

Christopher Lum
27 min
Beginner
Video
Theory

In this video we derive the 2D wave equation. This partial differential equation governs the motion of waves in a plane and is applicable for thin vibrating...

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