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  • 标题:rTensor: An R Package for Multidimensional Array (Tensor) Unfolding, Multiplication, and Decomposition
  • 本地全文:下载
  • 作者:James Li ; Jacob Bien ; Martin T. Wells
  • 期刊名称:Journal of Statistical Software
  • 印刷版ISSN:1548-7660
  • 电子版ISSN:1548-7660
  • 出版年度:2018
  • 卷号:87
  • 期号:1
  • 页码:1-31
  • DOI:10.18637/jss.v087.i10
  • 语种:English
  • 出版社:University of California, Los Angeles
  • 摘要:rTensor is an R package designed to provide a common set of operations and decompositions for multidimensional arrays (tensors). We provide an S4 class that wraps around the base 'array' class and overloads familiar operations to users of 'array', and we provide additional functionality for tensor operations that are becoming more relevant in recent literature. We also provide a general unfolding operation, for which the k-mode unfolding and the matrix vectorization are special cases of. Finally, package rTensor implements common tensor decompositions such as canonical polyadic decomposition, Tucker decomposition, multilinear principal component analysis, t-singular value decomposition, as well as related matrix-based algorithms such as generalized low rank approximation of matrices and popular value decomposition.
  • 其他关键词:tensor;multidimensional arrays;S4;Tucker decomposition;multilinear principal components analysis;generalized low rank approximation of matrices;population valued decomposition;CANDECOMP/PARAFAC;tensor singular value decomposition
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