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• W4292968716 abstract "Hyperspectral sparse unmixing aims at modeling pixels of hyperspectral image as linear combination of a subset of a prior spectral library. Over the past years, spectral library has been constantly expanded, including spectra of the same material with intrinsic variability, which may result in the problem of high correlation. Recently, multi-objective sparse unmixing methods presented promising performance in dealing with sparsity via a non-convex <inline-formula><tex-math notation=LaTeX>$ mathcal {L}_{0}$</tex-math></inline-formula> norm, but are insensitive to identifying endmembers with high correlation. In this paper, we propose a multi-objective sparse unmixing method, multi-objective group sparse hyperspectral unmixing (MO-GSU), which integrates a group sparsity structure to address high correlation of the spectral library induced by spectral variability. In order to describe the sparsity within and among groups, MO-GSU develops a mixed norm <inline-formula><tex-math notation=LaTeX>$ mathcal {L}_{0,q}$</tex-math></inline-formula> instead of the <inline-formula><tex-math notation=LaTeX>$ mathcal {L}_{0}$</tex-math></inline-formula> norm. During the optimization, we propose two new search strategies: intra-group local search and group oriented adaptive genetic operator. The intra-group local search strategy is presented in addition to the multi-objective evolutionary algorithm for better exploitation within groups. The group oriented adaptive genetic operator is designed to maintain the inter-group distribution between generations and further ensure the intra-group exploitation. Moreover, we provide theoretical proof for the advantage of the group operators in exploiting the endmembers within group. To verify the efficiency of the proposed method on high correlation situations, MO-GSU is compared with recently proposed endmember bundle based and multi-objective based sparse unmixing methods on synthetic and real data with high correlation libraries." @default.
• W4292968716 created "2022-08-24" @default.
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• W4292968716 date "2022-01-01" @default.
• W4292968716 modified "2023-10-17" @default.
• W4292968716 title "A Multiobjective Group Sparse Hyperspectral Unmixing Method With High Correlation Library" @default.
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• W4292968716 doi "https://doi.org/10.1109/jstars.2022.3200693" @default.
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