k_fold

k-mode folding of a matrix into a Tensor. This is the inverse funtion to <code>k_unfold</code> in the m mode. In particular, <code>k_fold(k_unfold(tnsr, m),m,getModes(tnsr))</code> will result in the original Tensor.

A set of tools for creation, manipulation, and modeling
of tensors with arbitrary number of modes. A tensor in the context of data
analysis is a multidimensional array. rTensor does this by providing a S4
class 'Tensor' that wraps around the base 'array' class. rTensor
provides common tensor operations as methods, including matrix unfolding,
summing/averaging across modes, calculating the Frobenius norm, and taking
the inner product between two tensors. Familiar array operations are
overloaded, such as index subsetting via '[' and element-wise operations.
rTensor also implements various tensor decomposition, including CP, GLRAM,
MPCA, PVD, and Tucker. For tensors with 3 modes, rTensor also implements
transpose, t-product, and t-SVD, as defined in Kilmer et al. (2013). Some
auxiliary functions include the Khatri-Rao product, Kronecker product, and
the Hadamard product for a list of matrices.

Koki Tsuyuzaki

rTensor

Tools for Tensor Analysis and Decomposition

James Li

Jacob Bien

Martin Wells

k_fold function

<dl><dt>mat</dt>
<dd>matrix to be folded into a Tensor</dd>
<dt>m</dt>
<dd>the index of the mode that is mapped onto the row indices</dd>
<dt>modes</dt>
<dd>the modes of the output Tensor</dd></dl>

Arguments

k-mode Folding of Matrix — k_fold

<dl>

<dt>mat</dt>
<dd>matrix to be folded into a Tensor</dd>


<dt>m</dt>
<dd>the index of the mode that is mapped onto the row indices</dd>


<dt>modes</dt>
<dd>the modes of the output Tensor</dd>

</dl>

k_fold: k-mode Folding of Matrix

Description

Usage

Value

Arguments

Details

References

See Also

Examples