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Hybrid CUR-type decomposition of tensors in the Tucker format

In recent years attention is given to low-rank approximations obtained by interpolatory factorizations. These approximations, although suboptimal, keep the properties like sparsity and non-negativity. Thus, they are more suitable in some applications where the fibers (columns/rows/tubes) should keep their original meaning. The best known example of the interpolatory factorizations is CUR factorization. In this talk we introduce a hybrid approach to the CUR-type decomposition of tensors in the Tucker format.

Tensor decompositions ; CUR decomposition ; Low rank approximation ; Tucker format

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