2019Unpublished venueOpen access

Coupled Tensor Low-rank Multilinear Approximation for Hyperspectral Super-resolution

Chantal Prévost, Konstantin Usevich, Pierre Comon, David Brie

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Abstract

We propose a novel approach for hyperspectral super-resolution that is based on low-rank tensor approximation for a coupled low-rank multilinear (Tucker) model. We show that the correct recovery holds for a wide range of multilinear ranks. For coupled tensor approximation, we propose an SVD-based algorithm that is simple and fast, but with a performance comparable to that of the state-of-the-art methods.

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What this paper is about

We propose a novel approach for hyperspectral super-resolution that is based on low-rank tensor approximation for a coupled low-rank multilinear (Tucker) model. We show that the correct recovery holds for a wide range of multilinear ranks. For coupled tensor approximation, we propose an SVD-based algorithm that is simple and fast, but with a performance comparable to that of the state-of-the-art methods.

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Available abstract

We propose a novel approach for hyperspectral super-resolution that is based on low-rank tensor approximation for a coupled low-rank multilinear (Tucker) model. We show that the correct recovery holds for a wide range of multilinear ranks. For coupled tensor approximation, we propose an SVD-based algorithm that is simple and fast, but with a performance comparable to that of the state-of-the-art methods.

Key concepts: Multilinear map, Tensor (intrinsic definition), Rank (graph theory), Hyperspectral imaging, Multilinear algebra, Singular value decomposition, Resolution (logic), Tucker decomposition

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