Gunnar Carlsson
Gunnar Carlsson
Professor Emeritus, Stanford University
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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
Proceedings of the twentieth annual symposium on Computational geometry, 347-356, 2004
Topological methods for the analysis of high dimensional data sets and 3d object recognition.
G Singh, F Mémoli, GE Carlsson
PBG@ Eurographics 2, 091-100, 2007
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
On the local behavior of spaces of natural images
G Carlsson, T Ishkhanov, V De Silva, A Zomorodian
International journal of computer vision 76, 1-12, 2008
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), 1236, 2013
The theory of multidimensional persistence
G Carlsson, A Zomorodian
Proceedings of the twenty-third annual symposium on Computational geometry …, 2007
Topological estimation using witness complexes.
V De Silva, GE Carlsson
PBG, 157-166, 2004
Persistence barcodes for shapes
G Carlsson, A Zomorodian, A Collins, L Guibas
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry …, 2004
Zigzag persistence
G Carlsson, V De Silva
Foundations of computational mathematics 10, 367-405, 2010
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), 8581, 2015
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
Topological pattern recognition for point cloud data
G Carlsson
Acta Numerica 23, 289-368, 2014
Equivariant stable homotopy and Segal's Burnside ring conjecture
G Carlsson
Annals of Mathematics, 189-224, 1984
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
Towards a new approach to reveal dynamical organization of the brain using topological data analysis
M Saggar, O Sporns, J Gonzalez-Castillo, PA Bandettini, G Carlsson, ...
Nature communications 9 (1), 1399, 2018
Controlled algebra and the Novikov conjectures for K-and L-theory
G Carlsson, EK Pedersen
Topology 34 (3), 731-758, 1995
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