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非负张量分解的快速算法

史加荣 杨威 姜淑艳

计算机应用研究2011,Vol.28Issue(12):4475-4477,3.
计算机应用研究2011,Vol.28Issue(12):4475-4477,3.DOI:10.3969/j.issn.1001-3695.2011.12.019

非负张量分解的快速算法

Fast algorithm to nonnegative tensor factorization

史加荣 1杨威 1姜淑艳1

作者信息

  • 1. 西安建筑科技大学理学院,西安710055
  • 折叠

摘要

Abstract

Abstract: As the multi-linear extension of nonnegative matrix factorization, nonnegative tensor factorization has been success-fully 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 con-tinuous function and obtained a corresponding smaller tensor data by sampling. Secondly, performed the nonnegative factoriza-tion on the small tensor and easily computed the corresponding reconstruction tensor. Then, employed for the above reconstruc-tion tensor, two-dimensional linear interpolation to reconstruct the original tensor. Finally,the experimental results show the ef-fectiveness of the proposed fast algorithm to nonnegative tensor factorization.

关键词

非负张量分解/非负矩阵分解/快速算法/采样/插值/重构

Key words

nonnegative tensor factorization/ nonnegative matrix factorization/ fast algorithm/ sampling/ interpolation/ recon-struction/

分类

信息技术与安全科学

引用本文复制引用

史加荣,杨威,姜淑艳..非负张量分解的快速算法[J].计算机应用研究,2011,28(12):4475-4477,3.

基金项目

陕西省自然科学基金资助项目(JQ1003) (JQ1003)

陕西省教育厅专项科研计划资助项目(09JK545) (09JK545)

计算机应用研究

OA北大核心CSCDCSTPCD

1001-3695

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