Gunnar Carlsson
Gunnar Carlsson
Professor of Mathematics, Stanford University
Verified email at - Homepage
Cited by
Cited by
Topology and data
G Carlsson
Bulletin of the American Mathematical Society 46 (2), 255-308, 2009
Computing persistent homology
A Zomorodian, G Carlsson
Discrete & Computational Geometry 33 (2), 249-274, 2005
Topological methods for the analysis of high dimensional data sets and 3d object recognition.
G Singh, F Mémoli, GE Carlsson
PBG@ Eurographics 2, 2007
On the local behavior of spaces of natural images
G Carlsson, T Ishkhanov, V De Silva, A Zomorodian
International journal of computer vision 76 (1), 1-12, 2008
Topology based data analysis identifies a subgroup of breast cancers with a unique mutational profile and excellent survival
M Nicolau, AJ Levine, G Carlsson
Proceedings of the National Academy of Sciences 108 (17), 7265-7270, 2011
Extracting insights from the shape of complex data using topology
PY Lum, G Singh, A Lehman, T Ishkanov, M Vejdemo-Johansson, ...
Scientific reports 3 (1), 1-8, 2013
The theory of multidimensional persistence
G Carlsson, A Zomorodian
Discrete & Computational Geometry 42 (1), 71-93, 2009
Topological estimation using witness complexes.
V De Silva, GE Carlsson
PBG, 157-166, 2004
Persistence barcodes for shapes
G Carlsson, A Zomorodian, A Collins, LJ Guibas
International Journal of Shape Modeling 11 (02), 149-187, 2005
Zigzag persistence
G Carlsson, V De Silva
Foundations of computational mathematics 10 (4), 367-405, 2010
Characterization, stability and convergence of hierarchical clustering methods.
GE Carlsson, F Mémoli
J. Mach. Learn. Res. 11 (Apr), 1425-1470, 2010
Topology of viral evolution
JM Chan, G Carlsson, R Rabadan
Proceedings of the National Academy of Sciences 110 (46), 18566-18571, 2013
Zigzag persistent homology and real-valued functions
G Carlsson, V De Silva, D Morozov
Proceedings of the twenty-fifth annual symposium on Computational geometry …, 2009
Equivariant stable homotopy and Segal's Burnside ring conjecture
G Carlsson
Annals of Mathematics, 189-224, 1984
Topological pattern recognition for point cloud data
G Carlsson
Acta Numerica 23, 289-368, 2014
Topological analysis of population activity in visual cortex
G Singh, F Memoli, T Ishkhanov, G Sapiro, G Carlsson, DL Ringach
Journal of vision 8 (8), 11-11, 2008
A topological paradigm for hippocampal spatial map formation using persistent homology
Y Dabaghian, F Mémoli, L Frank, G Carlsson
Public Library of Science 8 (8), e1002581, 2012
Controlled algebra and the Novikov conjectures for K-and L-theory
G Carlsson, EK Pedersen
Topology 34 (3), 731-758, 1995
Topological data analysis for discovery in preclinical spinal cord injury and traumatic brain injury
JL Nielson, J Paquette, AW Liu, CF Guandique, CA Tovar, T Inoue, ...
Nature communications 6 (1), 1-12, 2015
A barcode shape descriptor for curve point cloud data
A Collins, A Zomorodian, G Carlsson, LJ Guibas
Computers & Graphics 28 (6), 881-894, 2004
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