Encoding Dissimilarity Data for Statistical Model Building.

Encoding Dissimilarity Data for Statistical Model Building.
复制标题

DOI:
10.1016/j.jspi.2010.04.025
复制
发表时间:
2010-12-01
影响因子:
0.9
通讯作者:
Wahba, Grace
Wahba, Grace
中科院分区:
数学3区
文献类型:
--
作者:
Wahba, Grace

文献摘要

参考文献

被引文献

相似文献

F. Lu,S。Keles,S。Wright和G. Wahba,2005年。用于蛋白质聚类的内核调节框架。 G. Corrada Bravo,G。Wahba,K。Lee,B。Klein,R。Klein和S. Iyengar,2009年。在国立科学学院的柔性风险模型中检查家庭,遗传和环境协变量信息的相对影响。 106,8128–8133 F. Lu,Y. Lin和G. Wahba。 我们对三篇论文进行了摘要,审查和评论,这些论文讨论了在统计模型构建中使用离散,噪声,不完整的成对差异数据。空间的尺寸。平滑样条纹ANOVA惩罚了可能的模型,支持向量机或任何将允许复制Hilbert空间组件的模型,用于非参数回归,监督学习或半措辞学习。
F. Lu, S. Keles, S. Wright and G. Wahba 2005. A framework for kernel regularization with application to protein clustering. Proceedings of the National Academy of Sciences 102, 12332–1233. G. Corrada Bravo, G. Wahba, K. Lee, B. Klein, R. Klein and S. Iyengar 2009. Examining the relative influence of familial, genetic and environmental covariate information in flexible risk models. Proceedings of the National Academy of Sciences 106, 8128–8133 F. Lu, Y. Lin and G. Wahba. Robust manifold unfolding with kernel regularization. TR 1008, Department of Statistics, University of Wisconsin-Madison. We summarize, review and comment upon three papers which discuss the use of discrete, noisy, incomplete, scattered pairwise dissimilarity data in statistical model building. Convex cone optimization codes are used to embed the objects into a Euclidean space which respects the dissimilarity information while controlling the dimension of the space. A “newbie” algorithm is provided for embedding new objects into this space. This allows the dissimilarity information to be incorporated into a Smoothing Spline ANOVA penalized likelihood model, a Support Vector Machine, or any model that will admit Reproducing Kernel Hilbert Space components, for nonparametric regression, supervised learning, or semi-supervised learning. Future work and open questions are discussed. The papers are:
DOI: 10.1214/aop/1176996844
发表时间: 1973-01-01
影响因子: 2.3
作者:
LLOYD, SP;MALLOWS, CL
通讯作者: MALLOWS, CL
DOI: 10.1090/s0002-9947-1950-0051437-7
发表时间: 1950-01-01
影响因子: 1.3
作者:
ARONSZAJN, N
通讯作者: ARONSZAJN, N
DOI: 10.1198/016214501750332749
发表时间: 2001-03-01
影响因子: 3.7
作者:
Gao, FY;Wahba, G;Klein, B
通讯作者: Klein, B
DOI: 10.1073/pnas.0505411102
发表时间: 2005-08-30
影响因子: 11.1
作者:
Lu, F;Keles, S;Wahba, G
通讯作者: Wahba, G
DOI: 10.1073/pnas.0902906106
发表时间: 2009-05-19
影响因子: 11.1
作者:
Bravo, Hector Corrada;Lee, Kristine E.;Wahba, Grace
通讯作者: Wahba, Grace