2 problems
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Hilbert-structure conjecture for Eckart–Young-like tensor approximation
Hilbert-structure conjecture. The Hilbert structure is what enables the Eckart–Young-like results. The source explicitly notes that it has not established the link between the Hilb…
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Nilpotents obstruct meaningful unitary tensors and tensor SVDs
Nilpotent obstruction conjecture. The existence of such elements precludes a meaningful definition of unitary tensors, and such a definition is essential for defining a tensor sing…