Identifiability of Nonnegative Tensor Decompositions via Positive Scattering
Identifiability of tensor decompositions is often established through linear-algebraic conditions on the factor families. For nonnegative decompositions, however, positivity provides additional information that is not captured by dimension and independence alone: nonnegative terms cannot cancel, and their supports constrain competing decompositions. We introduce a positive scattering term that quantifies this additional source of identifiability and combine it with the dimension budget underlying the Lovitz--Petrov generalization of Kruskal's theorem. For every subset of components, we obtain two sufficient conditions: a threshold of $2|S|-2$ guarantees minimality and nonnegative rank, wh...
| Authors | Haoming Wang, Ming Yuan |
|---|---|
| Primary category | stat.ML |
| Published | 10 September 2026 |
| Last updated at source | 10 September 2026 |
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