rTensor2 (version 2.0.0)

tSVDdct: Tensor Singular Value Decomposition Using the Discrete Cosine Transform

Description

Performs a tensor singular value decomposition on any 3-mode tensor using the discrete cosine transform.

Usage

tSVDdct(tnsr)

Value

a Tensor-class object

If the SVD is performed on a \(m\) x \(n\) x \(k\) tensor, the components in the returned value are:

U: The left singular value tensor object (\(m\) x \(m\) x \(k\))

V: The right singular value tensor object (\(n\) x \(n\) x \(k\))

S: A diagonal tensor (\(m\) x \(n\) x \(k\))

Arguments

tnsr

: a 3-mode tensor

Author

Kyle Caudle

Randy Hoover

Jackson Cates

Examples

T <- rand_tensor(modes=c(2,3,4))
print(tSVDdct(T))