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Results tagged with tensor
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user 98093
5
votes
1
answer
590
views
Is a flattening rank a lower bound for the border rank?
Suppose $T \in V_1 \otimes \cdots \otimes V_k$ is a tensor, where each $V_i$ is a finite dimensional complex vector space. … If not in general, is it true when $T$ is a symmetric tensor? …
- 500
2
votes
0
answers
66
views
Bounds on the tensor and border rank ratios of tensor unfoldings?
Consider $T_1 \in \mathbb{C}^{d_1 \times \cdots \times d_k}$ as an order-$k$ tensor of the format $(d_1, \cdots , d_k)$. … $T_2$ is an order-$(k-1)$ tensor of the format $(d_1, \cdots , d_id_j, \cdots , d_k)$, for $i,j \in [k]$. …
- 500