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Find orthonormal $\{b_i\}$ such that $\mathcal{A} = \sum_i \sum_j \lambda_i \mu_j b_i b_j^T$

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#linear-algebra #tensor-products #numerical-linear-algebra #tensors #tensor-decomposition
36
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Integrating unitary vector in calculating stress resultant

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#integration #vectors #mathematical-physics #tensors #tensor-decomposition
61
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Given $\sum_i\sum_j \sigma_{ij} a_i b_j^T$ and orthogonal $\{a_i\}$, find orthogonal $\{b_j\}$

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#linear-algebra #matrices #tensors #svd #tensor-decomposition
1.1k
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Irreducible representation of $SO(3)$ by rank-3 tensors and higher?

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#group-theory #representation-theory #tensor-decomposition
120
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How many projections $\pi: \mathbb{F}_3^2 \to \mathbb{F}_3^2 $ there?

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#tensors #projection #tensor-decomposition
394
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Objective function for CP tensor decomposition

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#optimization #tensors #multilinear-algebra #tensor-rank #tensor-decomposition
1.7k
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n mode product and kronecker product relation

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#matrices #tensors #kronecker-product #tensor-decomposition
235
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Higher order singular value decomposition projection matrices

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#tensor-products #tensors #multilinear-algebra #svd #tensor-decomposition
3k
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CP-ALS Tensor Decomposition

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#tensors #tensor-rank #tensor-decomposition
105
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Can I decompose a tensor in this way?

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#tensors #svd #tensor-decomposition
24
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Elliptic Decomposition Theorem

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#orthogonality #elliptic-operators #tensor-decomposition
91
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Hilbert space decomposition through tensor product

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#hilbert-spaces #tensor-products #tensor-decomposition
64
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Do tensors $n_in_jn_kn_l$ where $n_i$ is a vector span all 4th-order symmetric tensors?

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#geometry #tensor-products #tensor-decomposition
36
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fundamental questions regarding approximations of tensors

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#tensors #multilinear-algebra #tensor-decomposition
52
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Can a tensor of any rank be decomposed into symmetric/anti-symmetric parts?

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#riemannian-geometry #tensors #tensor-decomposition

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