Unfoldm: Difference between revisions
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===Purpose=== | ===Purpose=== | ||
Unfolds an augmented matrix for MPCA. | Unfolds an augmented matrix for MPCA. | ||
===Synopsis=== | ===Synopsis=== | ||
:xmpca = unfoldm(xaug,nsamp) | :xmpca = unfoldm(xaug,nsamp) | ||
===Description=== | ===Description=== | ||
UNFOLDM unfolds the input matrix xaug to create a matrix of unfolded row vectors xmpca for MPCA. xaug contains nsamp matrices '''A'''j augmented such that [xaug] = [A1; A2; ...; Ansamp]. For example, for xaug of size (nsamp\*m by n) each matrix '''A'''j is of size m by n. For '''A'''j each m by 1 column ai is transposed and augmented such that [bj] = [a1', a2', ..., an'] and [xmpca] = [b1; b2; ...; bnsamp]. Note: the '''A'''j should all be the same size. | UNFOLDM unfolds the input matrix xaug to create a matrix of unfolded row vectors xmpca for MPCA. xaug contains nsamp matrices '''A'''j augmented such that [xaug] = [A1; A2; ...; Ansamp]. For example, for xaug of size (nsamp\*m by n) each matrix '''A'''j is of size m by n. For '''A'''j each m by 1 column ai is transposed and augmented such that [bj] = [a1', a2', ..., an'] and [xmpca] = [b1; b2; ...; bnsamp]. Note: the '''A'''j should all be the same size. | ||
===Examples=== | ===Examples=== | ||
a = [1 2 3 | a = [1 2 3 | ||
: 4 5 6 | : 4 5 6 | ||
: -1 -2 -3 | : -1 -2 -3 | ||
: -4 -5 -6] | : -4 -5 -6] | ||
xmpca = unfoldm(a,2) | xmpca = unfoldm(a,2) | ||
xmpca = [1 4 2 5 3 6 | xmpca = [1 4 2 5 3 6 | ||
-1 -4 -2 -5 -3 -6] | -1 -4 -2 -5 -3 -6] | ||
===See Also=== | ===See Also=== | ||
[[gscale]], [[mpca]], [[pca]], [[reshape]] | [[gscale]], [[mpca]], [[pca]], [[reshape]] | ||
Revision as of 15:27, 3 September 2008
Purpose
Unfolds an augmented matrix for MPCA.
Synopsis
- xmpca = unfoldm(xaug,nsamp)
Description
UNFOLDM unfolds the input matrix xaug to create a matrix of unfolded row vectors xmpca for MPCA. xaug contains nsamp matrices Aj augmented such that [xaug] = [A1; A2; ...; Ansamp]. For example, for xaug of size (nsamp\*m by n) each matrix Aj is of size m by n. For Aj each m by 1 column ai is transposed and augmented such that [bj] = [a1', a2', ..., an'] and [xmpca] = [b1; b2; ...; bnsamp]. Note: the Aj should all be the same size.
Examples
a = [1 2 3
- 4 5 6
- -1 -2 -3
- -4 -5 -6]
xmpca = unfoldm(a,2)
xmpca = [1 4 2 5 3 6
-1 -4 -2 -5 -3 -6]