R6 Class for Implicit Sums of Tensors (SumTensor)

Represents a tensor that is the sum of several parts (dense tensors, Kruskal tensors, or Tucker tensors) without materializing the sum, mirroring the MATLAB Tensor Toolbox sumtensor. Operations distribute over the parts where a structured implementation exists.

Usage

sumtensor(...)

Arguments

...: Tensor-like parts (or a single list of parts) with identical dimensions.

Value

A SumTensor object.

Public fields

parts: List of tensor-like parts

Methods

`SumTensor$new()`

Initialize a new SumTensor

Usage

SumTensor$new(parts = NULL)

Arguments

parts: List of tensor-like objects with identical dimensions.

Returns

A new SumTensor object

`SumTensor$dim()`

Get dimensions of the tensor

Usage

SumTensor$dim()

Returns

Integer vector of dimensions

`SumTensor$ndims()`

Get number of dimensions

Usage

SumTensor$ndims()

Returns

Integer tensor order

`SumTensor$print()`

Print the SumTensor object

Usage

SumTensor$print(...)

Arguments

...: Additional arguments

Returns

Invisible self

`SumTensor$full()`

Convert to a dense Tensor by materializing the sum

Usage

SumTensor$full()

Returns

A dense Tensor

`SumTensor$clone()`

The objects of this class are cloneable with this method.

Usage

SumTensor$clone(deep = FALSE)

Arguments

deep: Whether to make a deep clone.

Examples

X <- tensor(array(rnorm(24), dim = c(2, 3, 4)))
K <- ktensor(1, list(matrix(1, 2), matrix(1, 3), matrix(1, 4)))
S <- sumtensor(X, K)