Ignat Domanov

activity

20132019

most citedOn the Uniqueness of the Canonical Polyadic Decomposition of third-order tensors --- Part II: Uniqueness of the overall decomposition

154 citations · 503 across the 8 of their papers we have counts for

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Showing 2016Show all

2 papers · 1 filter

math.SP2016★ 4 cited

On the largest multilinear singular values of higher-order tensors

Ignat Domanov, Alwin Stegeman, Lieven De Lathauwer

Let $σ_{n}$ denote the largest mode- $n$ multilinear singular value of an $I_{1} \times \dots \times I_{N}$ tensor $T$ . We prove that $$ σ_1^2+\dots+σ_{n-1}^2+σ_{n+1}^2+\dots+σ_{N}…

math.AG2016★ 25 cited

Generic uniqueness of a structured matrix factorization and applications in blind source separation

Ignat Domanov, Lieven DeLathauwer

Algebraic geometry, although little explored in signal processing, provides tools that are very convenient for investigating generic properties in a wide range of applications. Gen…