Data Version(alternative view)

• 1-D data matrix : rank 1

• 2-D data matrix :rank 2

• K-D data matrix : rank k

• Eigenvectors for 1-D sample covariance matrix: rank 1

• Eigenvectors for 2-D sample covariance matrix: rank 2

• Eigenvectors for k-D sample matrix

• Adding i.i.d. noise

• Connection with automatic basis curve finding (to be discussed later)

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