云辅助的安全高效非负矩阵分解算法  

A secure and efficient cloud-assisted algorithm for non-negative matrix factorization

作　　者：祁新雷[1] 周强 田呈亮 QI Xinlei;ZHOU Qiang;TIAN Chengliang(The Graduate School,Xi’an University of Posts and Telecommunications,Xi’an 710121,China;School of Computer Science and Technology,Qingdao University,Qingdao 266071,China)

机构地区：[1]西安邮电大学研究生院,陕西西安710121 [2]青岛大学计算机科学技术学院,山东青岛266071

出　　处：《西安邮电大学学报》2023年第2期91-98,共8页Journal of Xi’an University of Posts and Telecommunications

基　　金：国家自然科学基金项目(61702294);山东省自然科学基金项目(ZR2022MF250)。

摘　　要：为了改善非负矩阵分解(Non-negative Matrix Factorization,NMF)进行大规模数据降维时消耗计算资源的问题,提出一种基于单服务器的安全外包算法。首先对输入矩阵使用随机矩阵填充,然后对填充后的矩阵使用随机对角矩阵变换和随机置换进行加密,盲化原始矩阵中非零项及零元素的数目和分布。理论分析和实验结果均表明,与不外包情形相比,所提算法能使本地端获得可观的计算节省。To address the issue of computing resource consumption in Non-negative Matrix Factorization(NMF)for large-scale data dimensionality reduction,a secure outsourcing algorithm based on single server is proposed.Firstly,the input matrix is filled with a random matrix,and then the filled matrix is encrypted by random diagonal matrix transformation and random permutation to blind the number and distribution of nonzero entries and zero elements in the original matrix.Both theoretical analysis and experimental results show that,comparing with the scenario without outsourcing,the proposed algorithm significantly reduces the computational burden on the local end,leading to substantial savings in computation resources.

关 键 词：云计算 非负矩阵分解 置换矩阵 随机矩阵 外包 

分 类 号：TP309[自动化与计算机技术—计算机系统结构]