142 citations · 712 across the 76 of their papers we have counts for
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math.NA2019★ 3 cited
Multi-resolution Low-rank Tensor Formats
Oscar Mickelin, Sertac Karaman
We describe a simple, black-box compression format for tensors with a multiscale structure. By representing the tensor as a sum of compressed tensors defined on increasingly coarse…
math.NA2019★ 1 cited
Optimal orthogonal approximations to symmetric tensors cannot always be chosen symmetric
Oscar Mickelin, Sertac Karaman
We study the problem of finding orthogonal low-rank approximations of symmetric tensors. In the case of matrices, the approximation is a truncated singular value decomposition whic…