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Complex Fourier Series

Steve Brunton
12 min
Intermediate
Video
Theory

This video will describe how the Fourier Series can be written efficiently in complex variables.

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SVD: Eigenfaces 3 [Python]

Steve Brunton
5 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" (Python code, part 3).

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Koopman Spectral Analysis (Overview)

Steve Brunton
27 min
Intermediate
Video
Theory

In this video, we introduce Koopman operator theory for dynamical systems. The Koopman operator was introduced in 1931, but has experienced renewed interest recently because of the...

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Override and Reset Feedback

R. Russell Rhinehart
15 min
Intermediate
Article / Blog
Application

Override (Select, Safety, Switch) control observes an auxiliary variable and takes over from the primary controller when a limit is exceeded.  Reset feedback is a method to prevent the non...

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SVD: Eigen Action Heros [Matlab]

Steve Brunton
16 min
Intermediate
Video
Application

This video describes how the singular value decomposition (SVD) can be used to efficiently represent human faces. In this example, we represent action heros (Matlab).

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Linear Regression 3 [Python]

Steve Brunton
10 min
Intermediate
Video
Application

This video describes how the singular value decomposition (SVD) can be used for linear regression in Python (part 3).

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Bode Plot Drawing Tool

Erik Cheever
Intermediate
Article / Blog
Demonstration

This page demonstrates the techniques described previously to take a transfer function defined by the user, identify the constituent terms, draw the individual Bode plots, and then combine...

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Robust Principal Component Analysis (RPCA)

Steve Brunton
22 min
Intermediate
Video
Theory

Robust statistics is essential for handling data with corruption or missing entries. This robust variant of principal component analysis (PCA) is now a workhorse algorithm in several fields...

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Numerically Linearizing a Dynamic System

Christopher Lum
104 min
Intermediate
Video
Theory

In this video we show how to linearize a dynamic system using numerical techniques. In other words, the linearization process does not require an analytical description of the system. This...

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