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Preprints and Reprints

March 15, 2007 G. Carlsson and A. Zomorodian, “The theory of multidimensional persistence,” 23rd ACM Symposium on Computational Geometry, Gyeongju, South Korea, June 6–7, 2007. PDF

April 25, 2007 A. Zomorodian and G. Carlsson, “Localized homology,” Shape Modeling International, Lyon, France 2007. PDF

G. Carlsson, T. Ishkhanov, V. de Silva, and A. Zomorodian, “On the local behavior of spaces of natural images,” to appear, International Journal of Computer Vision, December 7, 2006. PDF

V. de Silva and R. Ghrist, “Coordinate-free coverage in sensor networks with controlled boundaries via homology,” International Journal of Robotics Research, to appear. PDF

E. Carlsson, G. Carlsson, and V. de Silva, “An algebraic topological method for feature identification,” International Journal of Computational Geometry and Applications, 16 (2006), no. 4, pp. 291–314. PDF

V. de Silva and R. Ghrist, “Coordinate-free coverage in sensor networks with controlled boundaries via homology,” submitted, January 13, 2006. PDF

V. de Silva and R. Ghrist, “Coverage in sensor networks via persistent homology,” submitted, November 14, 2005. PDF

V. de Silva, R. Ghrist, and A. Muhammad, “Blind swarms for coverage in 2-D,” Robotics: Science and Systems, I, Cambridge, MA, June 8–11, 2005. PDF

G. Carlsson, “Persistent homology and the analysis of high dimensional data,” Symposium on the Geometry of Very Large Data Sets, Fields Institute for Research in Mathematical Sciences, February 24, 2005. PDF

A. Zomorodian and G. Carlsson, “Computing persistent homology,” Discrete and Computational Geometry, 33 (2), pp. 247–274. PDF

G. Carlsson, A. Zomorodian, A. Collins, and L. Guibas, “Persistence barcodes for shapes,” International Journal of Shape Modeling, 11 (2005), pp. 149–187. PDF

P. Diaconis, S. Holmes, and R. Montgomery, “Dynamical bias in the coin toss,” submitted, October 29, 2004. PDF

A. Collins, A. Zomorodian, G. Carlsson, and L. Guibas, “A barcode shape descriptor for curve point cloud data,” Computers & Graphics, to appear. PDF

G. Carlsson, A. Zomorodian, A. Collins, and L. Guibas, “Persistence barcodes for shapes,” Symposium on Geometry Processing, Nice, France, July 8–10, 2004. PDF

V. de Silva and G. Carlsson, “Topological estimation using witness complexes,” Symposium on Point-Based Graphics, ETH, Zürich, Switzerland, June 2–4, 2004. PDF

A. Collins, A. Zomorodian, G. Carlsson, and L. Guibas, “A barcode shape descriptor for curve point cloud data,” Symposium on Point-Based Graphics, ETH, Zürich, Switzerland, June 2–4, 2004. PDF

A. Zomorodian and G. Carlsson, “Computing persistent homology,” 20th ACM Symposium on Computational Geometry, Brooklyn, NY, June 9–11, 2004. PDF

V. de Silva, “A weak definition of Delaunay triangulation,” submitted, October 15, 2003. PDF

G. Carlsson and V. de Silva, “Topological approximation by small simplicial complexes,” submitted, September 21, 2003. PS PDF

V. de Silva and J.B. Tenenbaum, “Local versus global methods for nonlinear dimensionality reduction,” pp. 705–712 in S. Becker, S. Thrun, and K. Obermayer (Eds.), Advances in Neural Information Processing Systems, 15, MIT Press, Cambridge, MA, 2003. PDF

V. de Silva, J.B. Tenenbaum, “Unsupervised learning of curved manifolds,” pp. 453–466 in D.D. Denison, M.H. Hansen, C.C. Holmes, B. Mallick, B. Yu (Eds.), Nonlinear Estimation and Classification, Lecture Notes in Statistics, 171, Springer-Verlag, New York, NY, 2003. (ISBN: 0-387-95471-6) PDF

G. Carlsson and V. de Silva, “A geometric framework for sparse matrix problems,” Advances in Applied Mathematics, 33 (1), July 2004, pp. 1–25. PDF

See also: Josh Tenenbaum's recent papers.

Slides and Lecture Notes from the Conference on Algebraic Topological Methods in Computer Science (ATMCS)

ATMCS Conference Proceedings in Homology, Homotopy and Applications, 5 (2), 2003.

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