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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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Transfer Function to State Space

Christopher Lum
56 min
Beginner
Video
Theory

In this video we show how to transform a transfer function to an equivalent state space representation. We will derive various transformations such as contr...

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Data-Driven Control: Balancing Transformation

Steve Brunton
11 min
Intermediate
Video
Theory

In this lecture, we derive the balancing coordinate transformation that makes the controllability and observability Gramians equal and diagonal. This is the critical step in balanced model...

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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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Least Squares Regression and the SVD

Steve Brunton
5 min
Beginner
Video
Theory

This video describes how the SVD can be used to solve linear systems of equations. In particular, it is possible to solve nonsquare systems (overdetermined or underdetermined) via least...

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Gaussian/Normal Distributions

Christopher Lum
99 min
Beginner
Video
Theory

In this video we discuss the Gaussian (AKA Normal) probability distribution function. We show how it relates to the error function (erf) and discuss how to ...

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The Routh-Hurwitz Stability Criterion

Christopher Lum
82 min
Beginner
Video
Theory

In this video we explore the Routh Hurwitz Stability Criterion and investigate how it can be applied to control systems engineering. The Routh Hurwitz Stabi...

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The Fourier Transform and Derivatives

Steve Brunton
10 min
Beginner
Video
Theory

This video describes how the Fourier Transform can be used to accurately and efficiently compute derivatives, with implications for the numerical solution of differential equations.

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