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Article Dans Une Revue IEEE Geoscience and Remote Sensing Letters Année : 2022

Weighted residual NMF with spatial regularization for hyperspectral unmixing

Résumé

This paper proposes a weighted residual nonnegative matrix factorization (NMF) with spatial regularization to unmix hyperspectral data. NMF decomposes a matrix into the product of two nonnegative matrices. However, NMF is known to be generally sensitive to noise, which makes difficult to retrieve the global minimum of the underlying objective function. To overcome this limitation, we include a residual weighting mechanism in the conventional NMF formulation. This strategy treats each row of the residual based on the weighting factor. In this manner, residuals with large values are penalized less and residuals with small values are penalized more to make NMF based unmixing problem more robust. Furthermore, we include a weight term in the form of an ℓ1 norm regularizer to provide spatial information of the abundance matrix. Experimental results are conducted to validate the effectiveness of the proposed method.
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Dates et versions

hal-03696241 , version 1 (15-06-2022)

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Taner Ince, Nicolas Dobigeon. Weighted residual NMF with spatial regularization for hyperspectral unmixing. IEEE Geoscience and Remote Sensing Letters, 2022, 19 (June 2022), ⟨10.1109/LGRS.2022.3182042⟩. ⟨hal-03696241⟩
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