| 一种受限非负矩阵分解方法 |
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| 引用本文： | 黄钢石,张亚非,陆建江,徐宝文. 一种受限非负矩阵分解方法[J]. 东南大学学报(自然科学版), 2004, 34(2): 189-193 |
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| 作者姓名： | 黄钢石 张亚非 陆建江 徐宝文 |
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| 作者单位： | 解放军理工大学通信工程学院,南京,210007;解放军理工大学通信工程学院,南京,210007;东南大学计算机科学与工程系,南京,210096;江苏省软件质量研究所,南京,210096;东南大学计算机科学与工程系,南京,210096;江苏省软件质量研究所,南京,210096 |
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| 基金项目： | 国家自然科学基金，国家重点基础研究发展计划(973计划)，国家自然科学基金 |
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| 摘 要： | 提出一种获取潜在语义的受限非负矩阵分解方法.通过在非负矩阵分解方法的目标函数上增加3个约束条件来定义受限非负矩阵分解方法的目标函数,给出求解受限非负矩阵分解方法目标函数的迭代规则,并证明迭代规则的收敛性.与非负矩阵分解方法相比,受限非负矩阵分解方法能获取尽可能正交的潜在语义.实验表明,受限非负矩阵分解方法在信息检索上的精度优于非负矩阵分解方法.
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| 关 键 词： | 非负矩阵分解 受限非负矩阵分解 潜在语义 信息检索 |
| 文章编号： | 1001-0505(2004)02-0189-05 |
Constrained factorization method for non-negative matrix |
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| Huang Gangshi Zhang Yafei Lu Jianjiang ,, Xu Baowen . Constrained factorization method for non-negative matrix[J]. Journal of Southeast University(Natural Science Edition), 2004, 34(2): 189-193 |
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| Authors: | Huang Gangshi Zhang Yafei Lu Jianjiang Xu Baowen |
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| Affiliation: | Huang Gangshi 1 Zhang Yafei 1 Lu Jianjiang 1,2,3 Xu Baowen 2,3 |
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| Abstract: | A novel method, constrained non-negative matrix factorization, is presented to capture the latent semantic relations. The objective function of constrained non-negative matrix factorization is defined by imposing three additional constraints, in addition to the non-negativity constraint in the standard non-negative matrix factorization. The update rules to solve the objective function with these constraints are presented, and its convergence is proved. In contrast to the standard non-negative matrix factorization, the constrained non-negative matrix factorization can capture the semantic relations as orthogonal as possible. The experiments indicate that the constrained non-negative matrix factorization has better precision than the standard non-negative matrix factorization in information retrieval. |
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| Keywords: | non-negative matrix factorization constrained non-negative matrix factorization latent semantic relations information retrieval |
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