Description Usage Arguments Details Value Author(s) Examples
Reshapes a higher order array (tensor) into a matrix with a process known as m-mode flattening or matricization.
1 | mFlatten(x, m)
|
x |
an (r + 1)-dimensional array with r >= 2. The final mode is understood to correspond to the observations (i.e., its length is usually the sample size n). |
m |
an integer between 1 and r signifying the mode along which the array should be flattened. Note that the flattening cannot be done w.r.t. the final (r + 1)th mode. |
If the original tensor x
has the size p_1 x ... x p_r x n, then mFlatten(x, m)
returns tensor of size p_m x p_1 ... p_{m - 1} p_{m + 1} ... p_r x n obtained by gathering all m-mode vectors of x
into a wide matrix (an m-mode vector of x
is any vector of length p_m obtained by varying the mth index and holding the other indices constant).
The m-mode flattened 3rd order tensor of size p_m x p_1 ... p_{m - 1} p_{m + 1} ... p_r x n.
Joni Virta
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