arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1902.02597cs.CVcs.LGeess.IV
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Matrix Cofactorization for Joint Representation Learning and Supervised Classification -- Application to Hyperspectral Image Analysis

University of Toulouse(图卢兹大学);IRIT/INP-ENSEEIHT Toulouse(图卢兹国立理工学院ENSEEIHT校区信息与电信研究所);CESBIO(空间研究中心);CNES(法国国家空间研究中心);CNRS(法国国家科学研究中心);INRA(法国国家农业研究院);IRD(法国发展研究所);UPS(图卢兹第三大学)

Adrien Lagrange, Mathieu Fauvel, Stéphane May, José Bioucas-Dias, Nicolas Dobigeon

英文摘要:

Supervised classification and representation learning are two widely used classes of methods to analyze multivariate images. Although complementary, these methods have been scarcely considered jointly in a hierarchical modeling. In this paper, a method coupling these two approaches is designed using a matrix cofactorization formulation. Each task is modeled as a factorization matrix problem and a term relating both coding matrices is then introduced to drive an appropriate coupling. The link can be interpreted as a clustering operation over a low-dimensional representation vectors. The attribution vectors of the clustering are then used as features vectors for the classification task, i.e., the coding vectors of the corresponding factorization problem. A proximal gradient descent algorithm, ensuring convergence to a critical point of the objective function, is then derived to solve the resulting non-convex non-smooth optimization problem. An evaluation of the proposed method is finally conducted both on synthetic and real data in the specific context of hyperspectral image interpretation, unifying two standard analysis techniques, namely unmixing and classification.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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