Daniel Müllner, “Modern hierarchical, agglomerative clustering algorithms” . Sep 2011 link
Gunnar Carlsson, Jackson Gorham, Matthew Kahle, Jeremy Mason, “Computational topology for configuration spaces of hard disks” . Aug 2011 link
Michael Lesnick, “The Optimality of the Interleaving Distance on Multidimensional Persistence Modules” . Aug 2011 link
Andrew Tausz and Gunnar Carlsson, “Homological Coordinatization” . Aug 2011 link
Andrew Tausz and Gunnar Carlsson, “Applications of Zigzag Persistence to Topological Data Analysis” . Aug 2011 link
Mikael Vejdemo-Johansson, “Interleaved computation for persistent homology ” , preprint . May 2011 link
V. de Silva, D. Morozov and M. Vejdemo-Johansson, “Persistent Cohomology and Circular Coordinates” , Discrete and Computational Geometry , Special Issue: 25th Annual Symposium on Computational Geometry . Apr 2011 link
Monica Nicolau, Arnold J. Levine, and Gunnar Carlsson, “Topology based data analysis identifies a subgroup of breast cancers with a unique mutational profile and excellent survival” , Proceedings of the National Academy of Sciences . Feb 2011 link
Henry Adams, Atanas Atanasov, and Gunnar Carlsson, “Morse theory in topological data analysis” . Nov 2010 link
G. Carlsson, F. Mémoli, “Classifying Clustering Schemes” . Jan 2010 link
F. Mémoli, “A spectral notion of Gromov-Wasserstein distances and related methods” , Journal of Applied and Computational Harmonic Analysis . Jan 2010 link
M. Kahle, E. Meckes, “Limit theorems for Betti numbers of random simplicial complexes” . Jan 2010 link
J. Kloke, G. Carlsson, “Topological De-Noising: Strengthening the Topological Signal” . Jan 2010 link
G. Carlsson and A. Zomorodian, “Theory of multidimensional persistence” , Discrete and Computational Geometry , Volume 42, Number 1 . Jul 2009 link
V. De Silva, M. Vejdemo-Johansson, “Persistent Cohomology and Circular Coordinates” , SOCG . Jun 2009 link
G. Carlsson, V. De Silva, D. Morozov, “Zigzag Persistent Homology and Real-valued Functions” , SOCG . Jun 2009 link
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 . Apr 2009 link
G. Carlsson, F. Memoli, “Characterization, stability and convergence of Hierarchical Clustering methods” , Journal of Machine Learning Research , 11(Apr):1425?1470 . Apr 2009 link
G. Carlsson, G. Singh and A. Zomorodian, “Computing multidimensional persistence” , ISAAC . Jan 2009 link
G. Carlsson and F. Memoli, “Multiparameter clustering algorithms ” , IFCS . Jan 2009 link
F. Memoli, “Spectral Gromov-Wasserstein distances for shape matching” , NORDIA-ICCV . Jan 2009 link
F. Chazal, D. Cohen-Steiner, L. Guibas, F. Memoli and S. Oudot, “Gromov-Hausdorff stable signatures for shapes using persistence” , SGP . Jan 2009 link
G. Carlsson, V. De Silva, “Zigzag Persistence” , Foundations of Computational Mathematics , to appear . Jan 2009 link
G. Carlsson, “Topology and Data” , Bulletin of the American Mathematical Society , vol 46, Number 2, pp.255-308 . Jan 2009 link
X. Jiang, L.-H. Lim, Y. Yao, Y. Ye, “Learning to rank with combinatorial Hodge Theory” . Nov 2008 link
I. Onur Filiz, X. Guo, J. Morton, and B. Sturmfels, “Graphical models for correlated defaults” . Sep 2008 link
J. Morton, “Relations among conditional probabilities” . Aug 2008 link
G. Bowman, X. Huang, Y. Yao, J. Sun, G. Carlsson, L. Guibas and V. Pande, “Structural insight into RNA Hairpin Folding Intermediates” , Journal of American Chemical Society (Communications) . Jul 2008 link
F. Memoli, “Gromov-Hausdorff distances in Euclidean spaces ” , NORDIA-CVPR . Jun 2008 link
G. Singh, F. Memoli, T. Ishkhanov, G. Sapiro, G. Carlsson and D. Ringach, “Topological analysis of population activity in visual cortex” , Journal of Vision . Jun 2008 link
G. Carlsson and F. Memoli,, “Persistent Clustering and a Theorem of J. Kleinberg ” . Mar 2008 link
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, pages 1-12 . Jan 2008 link
V. de Silva and R. Ghrist, “Coordinate-free coverage in sensor networks with controlled boundaries via homology” , International Journal of Robotics Research , to appear . Jan 2008 link
G. Singh, F. Memoli, T. Ishkhanov, G. Carlsson, G. Sapiro and D. Ringach, “Topological Structure of Population Activity in Primary Visual Cortex,” . Nov 2007 link
T. Ishkhanov, “A Topological Method for Shape Comparison,” . Oct 2007 link
G. Carlsson and T. Ishkhanov, “A Topological Analysis of the Space of Natural Images” . Oct 2007 link
F. Memoli, “On the use of Gromov-Hausdorff Distances for Shape Comparison ” , Point Based Graphics 2007 , Prague . Sep 2007 link
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 — Paper . Sep 2007 link
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 — Slides . Sep 2007 link
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 — Movie . Sep 2007 link
G. Carlsson and A. Zomorodian, “The theory of multidimensional persistence” , 23rd ACM Symposium on Computational Geometry , Gyeongju, South Korea . Jun 2007 link
H. Adams and G. Carlsson, “On the non-linear statistics of range image patches,” . Jun 2007 link
A. Zomorodian and G. Carlsson, “Localized homology” , Shape Modeling International , Lyon, France . Jan 2007 link
V. de Silva and R. Ghrist, “Coordinate-free coverage in sensor networks with controlled boundaries via homology” . Jan 2006 link
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 . Jan 2006 link
V. de Silva and R. Ghrist, “Coverage in sensor networks via persistent homology” . Nov 2005 link
V. de Silva, R. Ghrist, and A. Muhammad, “Blind swarms for coverage in 2-D” , Robotics: Science and Systems, I , Cambridge, MA . Jun 2005 link
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 . Feb 2005 link
A. Zomorodian and G. Carlsson , “Computing persistent homology” , Discrete and Computational Geometry , 33 (2), pp. 247—274. . Jan 2005 link
G. Carlsson, A. Zomorodian, A. Collins, and L. Guibas, “Persistence barcodes for shapes” , International Journal of Shape Modeling , 11 (2005), pp. 149—187. . Jan 2005 link
P. Diaconis, S. Holmes, and R. Montgomery, “Dynamical bias in the coin toss” . Oct 2004 link
A. Collins, A. Zomorodian, G. Carlsson, and L. Guibas, “A barcode shape descriptor for curve point cloud data” , Computers & Graphics , to appear . Sep 2004 link
G. Carlsson, A. Zomorodian, A. Collins, and L. Guibas, “Persistence barcodes for shapes” , Symposium on Geometry Processing , Nice, France . Jul 2004 link
G. Carlsson and V. de Silva, “A geometric framework for sparse matrix problems” , Advances in Applied Mathematics , 33 (1), July 2004, pp. 1–25 . Jul 2004 link
A. Zomorodian and G. Carlsson, “Computing persistent homology” , 20th ACM Symposium on Computational Geometry . Jun 2004 link
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 . Jun 2004 link
V. de Silva and G. Carlsson, “Topological estimation using witness complexes” , Symposium on Point-Based Graphics , ETH, Zürich, Switzerland . Jun 2004 link
V. de Silva, “A weak definition of Delaunay triangulation” . Oct 2003 link
G. Carlsson and V. de Silva, “Topological approximation by small simplicial complexes” . Sep 2003 link
V. de Silva, J.B. Tenenbaum, “Unsupervised learning of curved manifolds” , Nonlinear Estimation and Classification , Lecture Notes in Statistics, 171, pp. 453–466 . Jan 2003 link
V. de Silva and J.B. Tenenbaum, “Local versus global methods for nonlinear dimensionality reduction” , Advances in Neural Information Processing Systems , 15, MIT Press, pp. 705–712 . Jan 2003 link