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2
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44 views

Any one know the results of tensor decomposition by hypergraph partitioning?

Tucker Decomposition and CANDECOMP/PARAFAC (CP) Decomposition are two widely used tensor decomposition methods. However, when we model the hypergraph into tensor, what's the connection between the ...
1
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0answers
197 views

How to find the tensor product of modules that we don't know a basis for them?

Hi I know how to calculate some easy tensor products like $\mathbb{Z}/m\mathbb{Z} \otimes_{\mathbb{Z}} \mathbb{Z}/n\mathbb{Z}\cong_{\mathbb{Z}} \mathbb{Z}/(m,n)\mathbb{Z} $ or $F[X] \otimes_{F} F[Y] ...
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0answers
240 views

tensor/hypermatrix analogues of $GL(n,\mathbb{C})$?

Please excuse me if this question turns out to be incredibly silly for one reason or another. Are there tensor/hypermatrix analogues of $GL(n,\mathbb{C})$ that are interesting? What I'm mainly ...
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60 views

Null vector fields given Bondi metric

I'm trying to understand how to compute the null future-directed vector fields if I have a given (Bondi) metric $g=-e^{2\nu}du^{2}-2e^{\nu+\lambda}dudr+r^{2}d\Omega$ with $d\Omega$-standard metric ...
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168 views

Metric tensor of total space in trivial bundles

Hi everyone, sorry if my question may be wrong (i'm an engineer not a mathematician!). I was wondering, given a total space E of a trivial bundle, such that E=MxF, where $gm_{ij}$, and $gf_{ij}$ are ...
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193 views

Decomposition of order-3 tensors over the complex numbers

This is a question about decomposition of order-3 tensors. The survey Tensor Decompositions and Applications give a good account of recent developments in this area. Let $T$ be an order-3 tensor, ...