| 非计量多维尺度分析中单调回归算法的连续性和可微性研究 |
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| 引用本文： | 曾薇,刘妍,赵守盈. 非计量多维尺度分析中单调回归算法的连续性和可微性研究[J]. 贵州师范大学学报(自然科学版), 2011, 29(4): 73-75 |
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| 作者姓名： | 曾薇 刘妍 赵守盈 |
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| 作者单位： | 贵州师范大学教育科学学院,贵州贵阳,550001 |
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| 基金项目： | 贵州省高层次科研人才特助项目成果 |
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| 摘 要： | 在非计量多维尺度分析中，对变量进行单调顺序转换所用的最小二乘单调回归算法是非计量多维尺度分析的核心技术。它是Kruskal（1964）提出来的，其作用就是找到一个能够和数据尽可能匹配的具有最小压力值的结构空间。用迭代法求解压力函数S（Q，A），找到压力值最小结构空间，从而完成顺序尺度的转换。残差的平方和Q是来自于K对丑...
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| 关 键 词： | 最小二乘单调回归 梯度 可微性 连续性 |
Continuity and differentiability properties of monotone regression in non-metric multidimensional |
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| ZENG Wei,LIU Yan,ZHAO Shou-Ying. Continuity and differentiability properties of monotone regression in non-metric multidimensional[J]. Journal of Guizhou Normal University(Natural Sciences), 2011, 29(4): 73-75 |
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| Authors: | ZENG Wei LIU Yan ZHAO Shou-Ying |
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| Affiliation: | ZENG Wei,LIU Yan,ZHAO Shou-Ying(School of Education Science,Guizhou Normal University,Guiyang,Guizhou 550001,China) |
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| Abstract: | The technique of Least-squares monotone regression has played a central role in non-metric multidimensional scaling,and it was prosposed by Kruskal in 1964.The technique could be used to find a configuration of points which match the dissimilaritues(data)as well as possible.And a numerical method could be used to solve the stress function S(Q,A),and find the best-fitting configuration at which S has a minimum value,thus finished the monotone ordinral conversion of dissimilarities.Consider residual sum of sq... |
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| Keywords: | least-squares monotone regression gradient differentiability continuity |
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