ttTensor-package: Tensor-Train Decomposition

In rikenbit/ttTensor: Tensor-Train Decomposition

Tensor-Train Decomposition

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)

NA

Maintainer: NA

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

ls("package:ttTensor")

rikenbit/ttTensor documentation built on Feb. 2, 2023, 4:32 a.m.