Tangent functional canonical correlation analysis for densities and shapes, with applications to multimodal imaging data
作者： Sebastian Kurtek , Karthik Bharath , Min Ho Cho
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摘要: … curves lie on a quotient space of an infinite-dimensional nonlinear space due to invariance … for existence of FCCA on a chosen tangent space and explicate influence of the choice. As …
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N. Čencov, Statistical Decision Rules and Optimal Inference Translations of Mathematical#N# Monographs. ,(2000) , 10.1090/MMONO/053
Piotr Kokoszka, Lajos Horváth, Inference for Functional Data with Applications ,(2012)
C. Radhakrishna Rao, Information and the Accuracy Attainable in the Estimation of Statistical Parameters Bull Calcutta. Math. Soc.. ,vol. 37, pp. 235- 247 ,(1992) , 10.1007/978-1-4612-0919-5_16
S. E. Leurgans, R. A. Moyeed, B. W. Silverman, Canonical correlation analysis when the data are curves. Journal of the royal statistical society series b-methodological. ,vol. 55, pp. 725- 740 ,(1993) , 10.1111/J.2517-6161.1993.TB01936.X
N Just, Improving tumour heterogeneity MRI assessment with histograms British Journal of Cancer. ,vol. 111, pp. 2205- 2213 ,(2014) , 10.1038/BJC.2014.512
Hyejin Shin, Seokho Lee, Canonical correlation analysis for irregularly and sparsely observed functional data Journal of Multivariate Analysis. ,vol. 134, pp. 1- 18 ,(2015) , 10.1016/J.JMVA.2014.10.001
E. C. Holland, Glioblastoma multiforme: The terminator Proceedings of the National Academy of Sciences of the United States of America. ,vol. 97, pp. 6242- 6244 ,(2000) , 10.1073/PNAS.97.12.6242
Harold Hotelling, Relations Between Two Sets of Variates Springer Series in Statistics. ,vol. 28, pp. 162- 190 ,(1992) , 10.1007/978-1-4612-4380-9_14
Bruce G. Lindsay, Paul W. Vos, Robert E. Kass, Geometrical Foundations of Asymptotic Inference ,(1997)
Sebastian Kurtek, Jingyong Su, Cindy Grimm, Michelle Vaughan, Ross Sowell, Anuj Srivastava, Statistical analysis of manual segmentations of structures in medical images Computer Vision and Image Understanding. ,vol. 117, pp. 1036- 1050 ,(2013) , 10.1016/J.CVIU.2012.11.014