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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 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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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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