Lecture 6. The Tucker Representation - Gene Golub SIAM Summer ...
Lecture 6. The Tucker Representation - Gene Golub SIAM Summer ...
Lecture 6. The Tucker Representation - Gene Golub SIAM Summer ...
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<strong>The</strong> Truncated HOSVD<br />
<strong>The</strong> Core Tensor S is Graded<br />
Recall from <strong>Lecture</strong> 4 that S (k)( j, :) is the j-th singular value of<br />
A (k). This means that<br />
S(j, :, :) F = σj(A (1)) j = 1:n1<br />
S(:, j, :) F = σj(A (2)) j = 1:n2<br />
S(:, :, j) F = σj(A (3)) j = 1:n3<br />
<strong>The</strong> entries in S tend to get smaller as you move away from the (1,1,1)<br />
entry.<br />
⊗ Transition to Computational Multilinear Algebra ⊗ <strong>Lecture</strong> <strong>6.</strong> <strong>The</strong> <strong>Tucker</strong> <strong>Representation</strong>
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