The Singular Value Decomposition

Lecture 1

 

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THE SINGULAR VALUE DECOMPOSITION (SVD): Perhaps the most important concept in this course, an introduction to the SVD is given and its mathematical foundations.

 

MATLAB COMMANDS

SVD

 

Lecture 2

 

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PRINCIPAL COMPONENT ANALYSIS (PCA): The SVD algorithm is used to produce the dominant correlated mode structures in a data matrix.

 

MATLAB COMMANDS

PCA VAR COV

 

Lecture 3

 

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PCA FOR FACE RECOGNITION: We demonstrate the power of the SVD/PCA framework on the computer vision problem of face recognition.

 

MATLAB COMMANDS

RESHAPE IMRESIZE FLIPUD IMSHOW RGB2GRAY

MATLAB CODE

 

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