sweep of tensor products

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Olivier BENOIT
Olivier BENOIT 2024-11-5，12:16
评论： Olivier BENOIT 2024-11-6，8:40
Hello,
I have two matrces A of dimension c x n and B of dimension c x l with c >> n and c >> l
I would like to calculate the tensor C of dimesion c x (n x l) wht C_i,j,k = A_i_j * B_i_k
Is there a way to imrpove the following code ?
Thank you in advance,
c = 100;
n = 5;
l = 10;
A = rand(c, n);
B = rand(c, l);
C = nan([ c n l] );
for ii = 1:c
C(ii,:,:) = tensorprod(A(ii,:),B(ii,:));
end

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采纳的回答

Bruno Luong
Bruno Luong 2024-11-5，12:27
编辑：Bruno Luong 2024-11-5，12:37
Ran in:
Strictly speaking you do not compute a tensor product.
c = 100;
n = 5;
l = 10;
A = rand(c, n);
B = rand(c, l);
C = A .* reshape(B, c, 1, l);
size(C)
ans = 1×3
100 5 10
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  3 个评论
显示 1更早的评论
Matt J
Matt J 2024-11-6，0:51
Strictly speaking you do not compute a tensor product.
It is essentially, a Khatri-Rao product.
Olivier BENOIT
Olivier BENOIT 2024-11-6，8:40
Actually, my original intent is to calculate this (Einstein notation)
C_j,k,l = A_i,j * B_i,k * C_i,l
I calculated first B_i,k * C_i,l and then proceeded to a tensor product.

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