非负张量分解的快速算法*

作为非负矩阵分解的多线性推广,非负张量分解已被成功地应用在信号处理、计算机视觉、数据挖掘和神经科学等领域中.提出了非负张量分解的一种快速算法.首先,将大的张量数据视做多元连续函数的离散化,对其进行采样得到一个小张量；其次,对小张量执行非负分解,可得到它的重构张量；然后,对于采样后的重构张量,使用二维线性插值方法对原始张量进行重构；最后,实验结果表明快速张量分解算法的有效性.

Fast algorithm to nonnegative tensor factorization

As the multi-linear extension of nonnegative matrix factorization,nonnegative tensor factorization has been successfully applied in many fields including signal processing,computer vision,data mining and neuroscience.This paper proposed a fast algorithm to nonnegative tensor factorization.Firstly,regarded a lager tensor data as the discretization of multivariate continuous function and obtained a corresponding smaller tensor data by sampling.Secondly,performed the nonnegative factorization on the small tens...