High-order tensor decomposition with tree-based transforms

Jiakai Chen

doi:10.1016/j.apm.2026.116920

High-order tensor decomposition with tree-based transforms

2026-03-20

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DOI：10.1016/j.apm.2026.116920

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Abstract

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• Tree-based transform enabling distinct transforms for different sub-tensors. • A novel tensor-tensor product for order-p tensors, generalizing existing works. • A new decomposition model for order-p tensors to fully exploit intrinsic structure. • Experiments on the completion task show the superiority of the proposed approach.

Keywords:

Tree-based transform

Tensor-tensor product

High-order tensor decomposition

Tensor completion

High-order tensor decomposition with tree-based transforms

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