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| 求解非负矩阵分解的交替非负最小二乘法的一种修正策略 |
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李向利1,2,3, 张雯1,2,3, 余江兰1,2,3
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1.桂林电子科技大学数学与计算科学学院;2.广西密码学与信息安全重点实验室;3.广西自动检测技术与仪器重点实验室, 广西 桂林 541004
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| 摘要: |
| 本文研究了关于求解非负矩阵分解的交替非负最小二乘法的全局收敛性.利用一种修正策略保证了极限点的存在性，得到了极限点为非负矩阵分解问题的稳定点.此外，给出了推广的修正策略.数值实验结果表明上述修正策略是有效的. |
| 关键词: 非负矩阵分解 交替非负最小二乘法 修正策略 |
| DOI： |
| 分类号:O224 |
| 基金项目:Supported by the National Natural Science Foundation of China (11601012; 71561008); Guangxi Natural Science Foundation (2018GXNSFAA138169); Guangxi Key Laboratory of Cryptography and Information Security (GCIS201708); Guangxi Key Laboratory of Automatic Detecting Technology and Instruments (YQ16112; YQ18112). |
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| A MODIFIED STRATEGY IN ALTERNATING NON-NEGATIVE LEAST SQUARES FOR NON-NEGATIVE MATRIX FACTORIZATION |
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LI Xiang-li1,2,3, ZHANG Wen1,2,3, YU Jiang-lan1,2,3
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1.School of Mathematics and Computing Science;2.Guangxi Key Laboratory of Cryptography and Information Security;3.Guangxi Key Laboratory of Automatic Detecting Technology and Instruments, Guilin University of Electronic Technology, Guilin 541004, China
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| Abstract: |
| In this paper, we study the global convergence of non-negative least squares (ANLS) for NMF. By applying a modified strategy to guarantee the existence of the limit point, we obtain the limit point is a stationary point of NMF. In addition, we give generalized modified strategies. Numerical experimental results show the above strategies are effective. |
| Key words: non-negative matrix factorization (NMF) alternating non-negative least squares (ANLS) modified strategy |
