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TensorTools (version 1.0.0)

Multilinear Algebra

Description

A set of tools for basic tensor operators. A tensor in the context of data analysis in a multidimensional array. The tools in this package rely on using any discrete transformation (e.g. Fast Fourier Transform (FFT)). Standard tools included are the Eigenvalue decomposition of a tensor, the QR decomposition and LU decomposition. Other functionality includes the inverse of a tensor and the transpose of a symmetric tensor. Functionality in the package is outlined in Kernfeld, E., Kilmer, M., and Aeron, S. (2015) .

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Install

install.packages('TensorTools')

Monthly Downloads

156

Version

1.0.0

License

GPL-3

Maintainer

Kyle A Caudle

Last Published

October 17th, 2024

Functions in TensorTools (1.0.0)

Eigenvalue decomposition of 3-mode tensor using the discrete Walsh Hadley transform.

Polar/Jordan form of matrices P and D

Performs inverse of 3-mode tensor using the discrete Hadley transform.

QR decomposition of a 3D tensor using the discrete Walsh Hadley transform

LU decomposition of a 3D tensor using the discrete sine transform

LU decomposition of a 3D tensor using the discrete Walsh Hadley transform

QR decomposition of a 3D tensor using the discrete wavelet transform

Eigenvalue decomposition of 3-mode tensor using the discrete wavelet transform.

Eigenvalue decomposition of 3-mode tensor using the discrete fast fourier transform.

LU decomposition of a 3D tensor using the discrete wavelet transform

LU decomposition of a 3D tensor using the discrete fast fourier transform

Performs inverse of 3-mode tensor using the discrete Walsh Hadley transform.

Performs inverse of 3-mode tensor using the discrete sine transform.

Eigenvalue decomposition of 3-mode tensor using the discrete cosine transform.

Eigenvalue decomposition of 3-mode tensor using the discrete Hadley transform.

QR decomposition of a 3D tensor using the fast fourier transform

LU decomposition of a 3D tensor using the discrete cosine transform

Determines the mean of a 3D tensor along mode 2

Tensor multiplication

Singular value decomposition (SVD)

LU decomposition of a 3D tensor using the discrete Hadley transform

Performs inverse of 3-mode tensor using the discrete wavelet transform.

QR decomposition of a 3D tensor using the discrete Hadley transform

Performs inverse of 3-mode tensor using the discrete fast fourier transform.

LU decomposition of a 3D tensor

Linear discriminate analysis (LDA) on a 3D tensor

QR decomposition of a 3D tensor

QR decomposition of a 3D tensor using the discrete sine transform

Create a random tensor

Tensor transpose

Singular value decomposition (SVD) of a 3D tensor using the discrete Hadley transform

Singular value decomposition (SVD) of a 3D tensor using the discrete cosine transform

QR decomposition of a 3D tensor using the discrete cosine transform

Singular value decomposition (SVD) of a 3D tensor using the discrete Walsh Hadley transform

Singular value decomposition (SVD) of a 3D tensor using the discrete sine transform

Singular value decomposition (SVD) of a 3D tensor using the discrete wavelet transform

Singular value decomposition (SVD) of a 3D tensor using the fast fourier transform

Discrete Wavelet Transform

QR Decomposition of a Complex Matrix without pivoting.

Converts an array to an S3 tensor

Subset of MNIST training and testing data.

LU Decomposition of a Complex Matrix

Tensor Eigenvalue Decomposition Using any Discrete Transform

Creates an S3 class for a tensor

Inverse Wavelet Transform

Performs inverse of 3-mode tensor using any discrete transform.

Performs inverse of 3-mode tensor using the discrete cosine transform.

The Frobenius Norm

Subset of raytrace data

Eigenvalue decomposition of 3-mode tensor using the discrete sine transform.