非负矩阵分解方法在水系沉积物地球化学数据处理中应用

Application of Non-Negative Matrix Factorization in Stream Sediment Geochemical Data Processing

鉴于水系沉积物地球化学数据可以表示为非负矩阵,这使得利用非负矩阵分解(NMF)方法处理该类数据成为可能.介绍了非负矩阵分解方法的基本原理和方法,讨论了基于非负矩阵分解方法处理水系沉积物地球化学数据的可能和效果.以个旧水系沉积物地球化学数据为例,运用NMF方法和主成分分析(PCA)方法对其进行异常分析,并对这两种方法的处理结果进行了比较,发现NMF方法对于处理水系沉积物地球化学数据是一种有效的方法.尽管这两种方法各自有其优越性,但就本实例数据而言,NMF方法优于PCA方法.

This paper explores the possibility of applying＇non-negative matrix factorization （NMF） to process stream sediment geochemical data for mineral exploration. The brief introduction of principle of NMF is followed by detailed comparison of the results obtained by NMF and principal component analysis （PCA） applied to a dataset of 813 samples with six trace elements from Gejiu mineral district, Yunnan, China. It is shown that the NMF is not only suitable for processing geochemical data which are usually of positive values but also provides superior results than that by PCA in the case study introduced in the paper. The example indicates that NMF might become a useful method for processing other types of geochemical data.