Questions tagged [tensor-rank]

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Computing dual of the spectral norm of tensor of order 3

It is shown in http://www.stat.uchicago.edu/~lekheng/work/jacm.pdf that computing the spectral norm (see Definition 6.6) of a $3^{rd}$ order tensor $T \in \mathbb{R}^{d_1 \times d_2 \times d_3}$ is NP-...
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normalized tensor rank

Is there such a thing as a "normalized tensor rank" for non-square tensors (i.e. a tensor with different sizes along each mode)? For example: If a 3rd order tensor (dimensions = 60 x 120 x 30) has ...
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What are contravariant tensors of type m choose 0

I am not sure if the following question falls within the scope of this site; if it does not, I will request the moderators to take appropriate action I have been going through Jin-Yi Cai's expository ...