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Everything about Tensor reshaping
In multilinear algebra, a reshaping of tensors is any bijection between the set of indices of an order- tensor and the set of indices of an order- tensor, where. The use of indices presupposes tensors in coordinate representation with respect to a basis. The coordinate representation of a tensor can be regarded as a multi-dimensional array, and a bijection from one set of indices to another therefore amounts to a rearrangement of the array elements into an array of a different shape. Such a rearrangement constitutes a particular kind of linear map between the vector space of order- tensors and the vector space of order- tensors. Wikipedia →
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- Read the overview: Tensor reshapingA 5-minute orientation
- Read the landmark paper: CANDECOMP/PARAFAC Decomposition of High-Order Tensors Through Tensor ReshapingCited 59 times
- Go sideways: Tensor rank decompositionA closely related topic
- Go sideways: Connection (vector bundle)A closely related topic
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