참고문헌
- Borg, I. and Groenen, P. (2005). Modern Multidimensional Scaling: Theory and Application, 2nd edition, Springer, New York.
- Bubenik, P. and Kim, P. T. (2007). A statistical approach to persistent homology, Homology, Homotopy and Applications, 9, 337-362. https://doi.org/10.4310/HHA.2007.v9.n2.a12
- Chung, M. K., Bubenik, P. and Kim, P. T. (2009). Persistence diagrams of cortical surface data, Information Processing in Medica Imaging (IPMI), 21, 386-397.
- Cohen-Steiner, D., Edelsbrunner, H. and Harer, J. (2007). Stability of persistence diagrams, Discrete and Computational Geometry, 37, 103-120. https://doi.org/10.1007/s00454-006-1276-5
- Delicado, P. (2011a). Dimensionality reduction when data are density functions, Computational Statistics and Data Analysis, 55, 401-420. https://doi.org/10.1016/j.csda.2010.05.008
- Delicado, P. (2011b). Dimensionality Reduction for Samples of Bivariate Density Level Sets: an Application to Electoral Results in Recent Advances in Functional Data Analysis and Related Topics, ed. Ferraty F., Springer, New York, 71-76.
- Edelsbrunner, H. and Harer, J. (2008). Persistent homology - a survey. Surveys on Discrete and Computa- tional Geometry. Twenty Years Later, eds. J. E. Goodman, J. Pach and R. Pollack, Contemporary Mathematics, 453, 257-282. https://doi.org/10.1090/conm/453/08802
- Edelsbrunner, H., Letscher, D. and Zomorodian, A. (2002). Topological persistence and simplification, Discrete and Computational Geometry, 28, 511-533. https://doi.org/10.1007/s00454-002-2885-2
- Gamble, J. and Heo, G. (2010). Exploring uses of persistent homology for statistical analysis of landmarkbased shape data, Journal of Multivariate Analysis, 101, 2184-2199. https://doi.org/10.1016/j.jmva.2010.04.016
- Morozov, D. (2008). Homological Illusions of Persistence and Stability. Ph.D. Thesis, Duke University.
- Ramsay, R. O. and Silverman, B. W. (2005). Functional Data Analysis, Springer, New York.
- Zomorodian, A. (2001). Computing and Comprehending Topology: Persistence and Hierarchical Morse Complexes, Ph.D. Thesis, University of Illinois, Urbana-Champaign.
- Zomorodian, A. and Carlsson, G. (2005). Computing persistent homology, Discrete and Computational Geometry, 33, 249-274. https://doi.org/10.1007/s00454-004-1146-y