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一种改进的非负矩阵分解算法
An Improved Nonnegative Matrix Factorization Algorithm
【摘要】 给出一种广义的Kullback-Leibler代价函数,基于调比梯度下降法得到新的非负矩阵分解算法。新算法的优点是能够对稀疏非负矩阵进行分解,但是新算法的收敛性没有得到改善。进一步对新算法进行改进,数值实验表明改进后算法的收敛性得到明显改善。
【Abstract】 We presented a generalized Kullback-Leibler cost function,and derived a new nonnegative matrix factorization algorithm based on scaled gradient desent method.The merit of the new algorithm lies in that it could decompose sparse nonnegative matrix,and the defect is that the convergence has not been improved.We improved further the new algorithm,and the numercial experiment indicate the convergence of the improved algorithm has been improved well.
【关键词】 非负矩阵分解;
KL距离;
辅助函数;
调比梯度;
【Key words】 nonnegative matrix factorization; KL distence; auxidium function; scaling gradient;
【Key words】 nonnegative matrix factorization; KL distence; auxidium function; scaling gradient;
【基金】 国家自然科学基金(60671063);陕西省自然科学研究计划(2006A02)
- 【文献出处】 济南大学学报(自然科学版) ,Journal of University of Jinan(Science and Technology) , 编辑部邮箱 ,2008年02期
- 【分类号】TP301.6
- 【被引频次】7
- 【下载频次】599