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High-order tensor decomposition with tree-based transforms
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DOI：10.1016/j.apm.2026.116920.png)
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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
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