G. Carlsson, G. Singh and A. Zomorodian, “Computing multidimensional persistence,” ISAAC 2009. PDFG. Carlsson, G. Singh and A. Zomorodian, “Computing multidimensional persistence,” ISAAC 2009. PDF
G. Carlsson and F. Memoli,
“Multiparameter clustering algorithms
,” IFCS, 2009.PDF
F. Memoli,
“Spectral Gromov-Wasserstein distances for shape matching
,” NORDIA-ICCV, 2009.PDF
F.
Chazal, D. Cohen-Steiner, L. Guibas, F. Memoli and S. Oudot,
“Gromov-Hausdorff stable signatures for shapes using persistence
,” SGP, 2009.PDF
G. Carlsson and A. Zomorodian,
“Theory of multidimensional persistence
,” Discrete and Computational Geometry, Volume 42, Number 1, July, 2009.PDF
Y. Yao, J. Sun, X. Huang, G. Bowman, G. Singh, M. Lesnick, L. Guibas, V. Pande, G. Carlsson
“Topological methods for exploring low-density states in biomolecular folding pathways
,” The Journal of Chemical Physics April
2009.PDF
G. Carlsson, F. Memoli
“Characterization, stability and convergence of Hierarchical Clustering methods
,” preprint April
2009.PDF
V. De Silva, M. Vejdemo-Johansson
“Persistent Cohomology and Circular Coordinates
,” SOCG March
2009.PDF
G. Carlsson, V. De Silva, D. Morozov
“Zigzag Persistent Homology and Real-valued Functions
,” SOCG June
2009.PDF
G. Carlsson, V. De Silva,
“Zigzag Persistence
,” preprint January
2009.PDF
X. Jiang, L.-H. Lim, Y. Yao, Y. Ye, “Learning to rank with combinatorial Hodge Theory ,” preprint, November 2008.PDF
I. Onur Filiz, X. Guo, J. Morton, and B. Sturmfels, “Graphical models for correlated defaults ,” preprint, September 2008.PDF
J. Morton, “Relations among conditional probabilities ,” preprint, August 2008.PDF
G. Carlsson, “Topology and Data ,” Bulletin of the American Mathematical Society, vol 46, Number 2, pp.255-308, 2009.PDF
G. Bowman, X. Huang, Y. Yao, J. Sun, G. Carlsson, L. Guibas and V. Pande “Structural insignt into RNA Hairpin Folding Intermediates ,” Journal of American Chemical Society (Communications), July 2008.PDF
F. Memoli, “Gromov-Hausdorff distances in Euclidean spaces ,” NORDIA-CVPR, June 2008.PDF
G. Singh, F. Memoli, T. Ishkhanov, G. Sapiro, G. Carlsson and D. Ringach, “Topological analysis of population activity in visual cortex ,” Journal of Vision, June 2008.PDF
G. Carlsson and F. Memoli, “Persistent Clustering and a Theorem of J. Kleinberg ,” Preprint, March 2008.PDF
F. Memoli, “On the use of Gromov-Hausdorff Distances for Shape Comparison ,” Point Based Graphics 2007, Prague, September 2007.PS
G. Singh, F. Memoli, T. Ishkhanov, G. Carlsson, G. Sapiro and D. Ringach “Topological Structure of Population Activity in Primary Visual Cortex,” preprint. PDF
T. Ishkhanov, “A Topological Method for Shape Comparison,” preprint. PDF
G. Carlsson and T. Ishkhanov, “A Topological Analysis of the Space of Natural Images,” preprint. PDF
G. Singh, F. Memoli and G. Carlsson, “Topological Methods for the Analysis of High Dimensional Data Sets and 3D Object Recognition,” Point Based Graphics 2007, Prague, September 2007.PDF Slides Quicktime Presentation Site CodeBibtex
H. Adams and G. Carlsson, “On the non-linear statistics of range image patches,” submitted, June 2007. PDF
G. Carlsson and A. Zomorodian, “The theory of multidimensional persistence,” 23rd ACM Symposium on Computational Geometry, Gyeongju, South Korea, June 6–7, 2007. PDF
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,” International Journal of Computer Vision, volume 76, number 1, january 2008, pages 1-12. 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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