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References

Papers

[ABB] O. Alter, P.O. Brown, D. Botstein, “Singular value decomposition for genome-wide expression data processing and modeling,” Proceedings of the National Academy of Sciences, 97 (18), August 2000, pp. 10101–10106. PDF

[ABE] N. Amenta, M. Bern, D. Eppstein, “The crust and the β-skeleton: Combinatorial curve reconstruction,” Graphical Models and Image Processing, 60/2 (2), March 1998, pp. 125–135. PDF

[ABET] N. Amenta, M. Bern, D. Eppstein, S.-H. Teng, “Regression depth and center points,” Discrete and Computational Geometry, 23 (3), April 2000, pp. 305–323. PDF

[BIH] C.A.L. Bailer-Jones, M. Irwin, T. von Hippel, “Automated classification of stellar spectra II: two-dimensional classification with neural networks and principal components analysis,” Monthly Notices of the Royal Astronomical Society, 298 (2), August 1998, pp. 361–377. PDF

[BW] G.E.P. Box, “Sampling and Bayes’ inference in scientific modelling and robustness,” Journal of the Royal Statistical Society, Series A, 143 (4), 1980, pp. 383–430. PDF

[BE] M. Bern, D. Eppstein, P.K. Agarwal, N. Amenta, P. Chew, T. Dey, D.P. Dobkin, H. Edelsbrunner, C. Grimm, L.J. Guibas, J. Harer, J. Hass, A. Hicks, C.K. Johnson, G. Lerman, D. Letscher, P. Plassmann, E. Sedgwick, J. Snoeyink, J. Weeks, C. Yap, D. Zorin, “Emerging challenges in computational topology,” NSF Workshop on Computational Topology, June 11–12, 1999, Miami Beach, FL. PDF

[BSW] C.M. Bishop, M. Svensén, C.K.I. Williams, “GTM: the generative topographic mapping,” Neural Computation, 10 (1), January 1998, pp. 215–234. PDF

[BMG] E. Bizzi, F.A. Mussa-Ivaldi, S. Giszter, “Computations underlying the execution of movement: A biological perspective,” Science, 253 (5017), July 1991, pp. 287–291. PDF

[BC] G.E.P. Box, D.R. Cox, “An analysis of transformations,” Journal of the Royal Statistical Society, Series B, 26 (2), 1964, pp. 211–252. PDF

[Da] E.R. Davidson, “Iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices,” Journal of Computational Physics, 17 (1), 1975, pp. 87–94. PDF

[DE] C.J.A. Delfinado, H. Edelsbrunner, “An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere,” Computer Aided Geometric Design, 12, 1995, pp. 771–784. PDF

[DG] T.K. Dey, S. Guha, “Computing homology groups of simplicial complexes in R3,” Journal of the ACM, 45 (2), March 1998, pp. 266–287. PDF

[Di] P. Diaconis, “Recent progress on de Finetti's notions of exchangeability,” pp. 111–125 in [BS3].

[DW] R. Durbin, D. Willshaw, “An analogue approach to the travelling salesman problem using an elastic net method,” Nature, 326 (6114), 22 April 1987, pp. 689–691. PDF

[Ed] H. Edelsbrunner, “Shape reconstruction with Delaunay complex,” pp. 119–132 in [LNCS1380]. PDF

[EdM] H. Edelsbrunner, E.P. Mücke, “Three-dimensional alpha shapes,” ACM Transactions on Graphics, 13 (1), January 1994, pp. 43–72. PDF

[EdS] H. Edelsbrunner, N.R. Shah, “Triangulating topological spaces,” Tenth Annual ACM Symposium on Computational Geometry, International Journal of Computational Geometry and Applications, 7 (4), August 1997, pp. 365–378. PDF

[Ep] D. Eppstein, “Clustering for faster network simplex pivots,” Networks, 35 (3), 2000, pp. 173–180. PDF

[F] J. Friedman, “Computing Betti numbers via combinatorial Laplacians,” Algorithmica, 21 (4), 1998, pp. 331–346. PDF

[FR] J.H. Friedman, L.C. Rafsky, “Graph theoretic measures of multivariate association and prediction,” Annals of Statistics, 11 (2), 1983, pp. 377–391. PDF

[HS] T. Hastie, W. Stuetzle, “Principal Curves,” Journal of the American Statistical Association, 84 (406), June 1989, pp. 502–516. PDF

[He] R. Hecht-Nielsen, “Replicator neural networks for universal optimal source coding,” Science, 269 (5232), September 1995, pp. 1860–1863. PDF

[Ke] D. Kendall, “A survey of the statistical theory of shape,” Statistical Science, 4 (2), 1989, pp. 87–120. PDF

[KPP] W. Klein, R. Plomp, L.C.W. Pols, “Vowel spectra, vowel spaces, and vowel identification,” Journal of the Acoustical Society of America, 48 (4), 1970, pp. 999–1009. PDF

[Kr] M.A. Kramer, “Nonlinear principal component analysis using autoassociative neural networks,” AIChE Journal, 37 (2), February 1991, pp. 233–243. PDF

[L] C. Lanczos, “An iteration method for the solution of the eigenvalue problem of linear differential and integral operators,” Journal of Research of the National Bureau of Standards, 45 (4), October 1950, pp. 255–282.

[Ma] G. Marsaglia, “Random numbers fall mainly in the planes,” Proceedings of the National Academy of Sciences, 61 (1), September 1968, pp. 25–28. PDF

[MS1] T. Martinetz, K. Schulten, “Topology Representing Networks,” Neural Networks, 7 (3), 1994, pp. 507–522. PDF

[MS2] R.B. Morgan, D.S. Scott, “Preconditioning the Lanczos algorithm for sparse symmetric eigenvalue problems,” SIAM Journal on Scientific Computing, 14 (3), May 1993, pp. 585–593. PDF

[MN] H. Murase, S.K. Nayar, “Visual learning and recognition of 3-D Objects from appearance,” International Journal of Computer Vision, 14 (1), January 1995, pp. 5–24. PDF (Large file: 30MB)

[NW] D.Q. Naiman, H.P. Wynn, “Abstract tubes, improved inclusion-exclusion identities and inequalities and importance sampling,” Annals of Statistics, 25 (5), October 1997, pp. 1954–1983. PDF

[RMB] V. Robins, J.D. Meiss, E. Bradley, “Computing connectedness: An exercise in computational topology,” Nonlinearity, 11 (4), July 1998, pp. 913–922. PDF

[S] T.D. Sanger, “Optimal movement primitives,” pp. 1023–1030 in [ANIPS7]. PDF

[SLD] P. Simard, Y. Le Cun, J. Denker, “Efficient pattern recognition using a new transformation distance,” pp. 50–58 in [ANIPS5]. PDF

[TSM] P. Tamayo, D. Slonim, J. Mesirov, Q. Zhu, S. Kitareewan, E. Dmitrovsky, E.S. Lander, T.R. Golub, “Interpreting patterns of gene expression with self-organizing maps: Methods and application to hematopoietic differentiation,” Proceedings of the National Academy of Sciences, 96 (6), March 1999, pp. 2907–2912. PDF

[Te] J.B. Tenenbaum, “Mapping a manifold of perceptual observations,” pp. 682–688 in [ANIPS10]. PDF

[Ti] R. Tibshirani, “Principal curves revisited,” Statistics and Computing, 2, 1992, pp. 183–190. PS

[YY] M.P. Young, S. Yamane, “Sparse population coding of faces in the inferotemporal cortex,” Science, 256 (5061), May 1992, pp. 1327–1331. PDF

Conference Proceedings

[BS3] J.-M. Bernardo, M.H. DeGroot, D.V. Lindley, A.F.M. Smith (Eds.), Bayesian Statistics, 3, Proceedings of the Third Valencia International Meeting, June 1–5, 1987, Oxford University Press, New York, NY, 1988. (ISBN: 0-19-852220-7)

[ANIPS5] C. Giles, S. Hanson, J. Cowan (Eds.), Advances in Neural Information Processing Systems, 5, Morgan Kaufmann, San Francisco, CA, 1993. (ISBN: 1-55860-274-7)

[ANIPS7] G. Tesauro, D.S. Touretzky, T.K. Leen (Eds.), Advances in Neural Information Processing Systems, 7, MIT Press, Cambridge, MA, 1995. (ISBN: 0-262-20104-6)

[ANIPS10] M.I. Jordan, M.J. Kearns and S.A. Solla (Eds.), Advances in Neural Information Processing Systems, 10, MIT Press, Cambridge, MA, 1997. (ISBN: 0-262-10076-2)

[LNCS1380] C.L. Lucchesi, A.V. Moura (Eds), LATIN '98: Theoretical Informatics, Lecture Notes in Computer Science, 1380, Springer-Verlag, Berlin, 1998. (ISBN: 3-540-64275-7)

Books

[Ko] T. Kohonen, Self Organisation and Associative Memory, Springer Series in Information Sciences, 8, 3nd Ed., Springer-Verlag, Berlin, 1989. (ISBN: 0-387-51387-6)

[KGGK] V. Kumar, A. Grama, A. Gupta, G. Karypis, Introduction to Parallel Computing: Design and Analysis of Algorithms, Benjamin Cummings, San Francisco CA, 1993. (ISBN: 0-8053-3170-0)

[Mi] J. Milnor, Singular Points of Complex Hypersurfaces, Annals of Mathematics Studies, 61, Princeton University Press, Princeton, NJ, 1968. (ISBN: 0-691-08065-8)

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