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SVD: Eigenfaces 1 [Matlab]

Steve Brunton
7 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 1).

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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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Derivation of Rodrigues’ Rotation Formula

Christopher Lum
43 min
Intermediate
Video
Theory

In this video we explain and derive Rodrigues’ Rotation Formula. This functions describes how to rotate an arbitrary vector about another arbitrary axis of rotation. This has applications to...

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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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