ttTensor-package: Tensor-Train Decomposition

Description Details Author(s) References See Also Examples

Description

Tensor-train is a compact representation for higher-order tensors. Some algorithms for performing tensor-train decomposition are available such as TT-SVD, TT-WOPT, and TT-Cross. For the details of the algorithms, see I. V. Oseledets (2011) <doi:10.1137/090752286>, Yuan Longao, et al (2017) <arXiv:1709.02641>, I. V. Oseledets (2010) <doi:10.1016/j.laa.2009.07.024>.

Details

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Author(s)

Koki Tsuyuzaki [aut, cre], Manabu Ishii [aut], Itoshi Nikaido [aut]

Maintainer: Koki Tsuyuzaki <k.t.the-answer@hotmail.co.jp>

References

I. V. Oseledets, (2011). Tensor-Train Decomposition. SIAM J. SCI. COMPUT.

Yuan, Longhao, et. al., (2017). Completion of high order tensor data with missing entries via tensor-train decomposition. International Conference on Neural Information Processing

I. V. Oseledets, et. al., (2010). TT-cross approximation for multidimensional arrays. Linear Algebra and its Applications

Ali Civril, et. al., (2009). On selecting a maximum volume sub-matrix of a matrix and related problems. Theoretical Computer Science

See Also

TTSVD,TTWOPT,TTCross,skeleton.decomp,maxvol

Examples

1
ls("package:ttTensor")

ttTensor documentation built on May 18, 2021, 5:07 p.m.