mwTensor

R package for Multi-way Component Analysis

Installation

git clone https://github.com/rikenbit/mwTensor/
R CMD INSTALL mwTensor

or type the code below in the R console window

library(devtools)
devtools::install_github("rikenbit/mwTensor")

References

• Multi-way Component Analysis
  • Andrzej Cichocki et al., Tensor Networks for Dimensionality Reduction and Large-scale Optimization: Part 1 Low-Rank Tensor Decompositions, 2016
  • Andrzej Cichocki et al., Tensor Decompositions for Signal Processing Applications, IEEE SIGNAL PROCESSING MAGAZINE, 2015
• Singular Value Decomposition: Gene H. Golub et al., Matrix Computation (Johns Hopkins Studies in the Mathematical Sciences), Johns Hopkins University Press, 2012
• Alternating Least Square Singular Value Decomposition (ALS-SVD): Madeleine Udell et al., Generalized Low Rank Models, Foundations and Trends in Machine Learning, 9(1), 2016
• Non-negative Matrix Factorization (NMF) : CICHOCK, et. al., Nonnegative Matrix and Tensor Factorizations, Andrzej 2009
• Independent Component Analysis (ICA): A. Hyvarinen. Fast and Robust Fixed-Point Algorithms for Independent Component Analysis. IEEE Transactions on Neural Networks, 10(3), 626-634, 1999
• CX Decomposition: Petros Drineas et al., Relative-Error CUR Matrix Decompositions, SIAM Journal on Matrix Analysis and Applications, 30(2), 844-881, 2008

Authors

• Koki Tsuyuzaki