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20142021
most citedLow-Rank Tensor Networks for Dimensionality Reduction and Large-Scale Optimization Problems: Perspectives and Challenges PART 1

466 citations · 780 across the 6 of their papers we have counts for

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math.NA2014★ 36 cited

Very Large-Scale Singular Value Decomposition Using Tensor Train Networks

Namgil Lee, Andrzej Cichocki

We propose new algorithms for singular value decomposition (SVD) of very large-scale matrices based on a low-rank tensor approximation technique called the tensor train (TT) format…

math.NA2014★ 25 cited

Fundamental Tensor Operations for Large-Scale Data Analysis in Tensor Train Formats

Namgil Lee, Andrzej Cichocki

We discuss extended definitions of linear and multilinear operations such as Kronecker, Hadamard, and contracted products, and establish links between them for tensor calculus. The…