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Singular Value Decomposition (SVD)

In linear algebra, the singular value decomposition (SVD) is a factorization of a real or complex matrix that generalizes the eigendecomposition of a square normal matrix to any m × n matrix via an extension of the polar decomposition.

from Singular Value Decomposition - Wikipedia

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SVD: Eigenfaces 1 [Python]
0

SVD: Eigenfaces 1 [Python]

Steve Brunton
4 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 1).

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SVD: Eigenfaces 4 [Matlab]
0

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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SVD: Eigenfaces 1 [Matlab]
0

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).

See More
SVD: Eigenfaces 3 [Python]
0

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).

See More
SVD: Eigen Action Heros [Matlab]
0

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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SVD: Eigenfaces 3 [Matlab]
0

SVD: Eigenfaces 3 [Matlab]

Steve Brunton
10 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 3).

See More
SVD: Eigenfaces 2 [Python]
0

SVD: Eigenfaces 2 [Python]

Steve Brunton
10 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 2).

See More
SVD and Alignment: A Cautionary Tale
0

SVD and Alignment: A Cautionary Tale

Steve Brunton
7 min
Intermediate
Video
Theory

This video describes the importance of data alignment when performing the singular value decomposition (SVD). Translations and rotations both present challenges for the SVD.

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SVD: Eigenfaces 2 [Matlab]
0

SVD: Eigenfaces 2 [Matlab]

Steve Brunton
8 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 2).

See More
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