非负矩阵分解及在地学中的应用

非负矩阵分解（NMF）是重要的矩阵分解算法与数据降维工具。介绍了NMF的背景、定义、原理及特征。在已有NMF算法分类的基础上,总结当前流行的NMF算法及研究进展,综述NMF在地学领域中的应用,主要包括高光谱图像的处理与矿产资源预测。对NMF算法的研究方向进行了预测和展望。

Nonnegative matrix factorization and its application in geosciences

Nonnegative matrix factorization (NMF) is an indispensable algorithm for matrix factorization, and an excellent method for data dimension reduction. The background, definition, fundamental and properties of nonnegative matrix factorization were introduced in the text. The authors summarized the existing NMF algorithm on the basis of the available NMF classification infrastructure, which divided NMF algorithms into two categories: basic NMF algorithms and the improved NMF algorithms. The authors depicted the research progress, and the status of the application of NMF in the fields of geosciences, such as the hyper spectral image processing and the mineral resources prediction. Finally, the authors presented and analyzed the problems in the development of NMF.