Carlsson, Gunnar

Topology and data

Carlsson, G. (2009) · Bulletin of the American Mathematical Society

Topological and Geometric Data AnalysisGeometric and Algebraic Topology

Cited by 2,302

Computing Persistent Homology

Zomorodian, A., & Carlsson, G. (2005) · Discrete & Computational Geometry

Topological and Geometric Data AnalysisHomotopy and Cohomology in Algebraic Topology

Cited by 1,591

Topological Methods for the Analysis of High Dimensional Data Sets and 3D Object Recognition

Singh, G., Memoli, F., & Carlsson, G. (2007) · The Eurographics Association

Topological and Geometric Data Analysis3D Shape Modeling and Analysis

Cited by 514

On the Local Behavior of Spaces of Natural Images

Carlsson, G., Ishkhanov, T., de Silva, V., & Zomorodian, A. (2008) · International Journal of Computer Vision

Topological and Geometric Data AnalysisImage Retrieval and Classification Techniques

Cited by 477

Topological estimation using witness complexes

Silva, V. D., & Carlsson, G. (2004) · The Eurographics Association

Topological and Geometric Data AnalysisHomotopy and Cohomology in Algebraic Topology

Cited by 337

The theory of multidimensional persistence

Carlsson, G., & Zomorodian, A. (2007) · Proceedings of the twenty-third annual symposium on Computational geometry - SCG '07

Topological and Geometric Data AnalysisHomotopy and Cohomology in Algebraic Topology

Cited by 299

PERSISTENCE BARCODES FOR SHAPES

CARLSSON, G., ZOMORODIAN, A., COLLINS, A., & GUIBAS, L. J. (2005) · International Journal of Shape Modeling

Topological and Geometric Data AnalysisGeometric and Algebraic Topology

Cited by 287

Zigzag persistent homology and real-valued functions

Carlsson, G., de Silva, V., & Morozov, D. (2009) · Proceedings of the twenty-fifth annual symposium on Computational geometry

Topological and Geometric Data AnalysisHomotopy and Cohomology in Algebraic Topology

Cited by 272

The Theory of Multidimensional Persistence

Carlsson, G., & Zomorodian, A. (2009) · Discrete & Computational Geometry

Topological and Geometric Data AnalysisHomotopy and Cohomology in Algebraic Topology

Cited by 270

Topology of viral evolution

Chan, J. M., Carlsson, G., & Rabadan, R. (2013) · Proceedings of the National Academy of Sciences

Evolution and Genetic DynamicsGenomics and Phylogenetic Studies

Cited by 269

Computing persistent homology

Zomorodian, A., & Carlsson, G. (2004) · Proceedings of the twentieth annual symposium on Computational geometry

Topological and Geometric Data AnalysisHomotopy and Cohomology in Algebraic Topology

Cited by 264

Zigzag Persistence

Carlsson, G., & de Silva, V. (2010) · Foundations of Computational Mathematics

Topological and Geometric Data AnalysisHomotopy and Cohomology in Algebraic Topology

Cited by 263

Towards a new approach to reveal dynamical organization of the brain using topological data analysis

Saggar, M., Sporns, O., Gonzalez-Castillo, J., Bandettini, P. A., Carlsson, G., Glover, G., & Reiss, A. L. (2018) · Nature Communications

Functional Brain Connectivity StudiesTopological and Geometric Data Analysis

Cited by 253

Topological pattern recognition for point cloud data

Carlsson, G. (2014) · Acta Numerica

Topological and Geometric Data AnalysisHomotopy and Cohomology in Algebraic Topology

Cited by 230

Topological analysis of population activity in visual cortex

Singh, G., Memoli, F., Ishkhanov, T., Sapiro, G., Carlsson, G., & Ringach, D. L. (2008) · Journal of Vision

Topological and Geometric Data AnalysisNeural dynamics and brain function

Cited by 213

Persistence barcodes for shapes

Carlsson, G., Zomorodian, A., Collins, A., & Guibas, L. (2004) · Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing

Topological and Geometric Data AnalysisGeometric and Algebraic Topology

Cited by 133

A barcode shape descriptor for curve point cloud data

Collins, A., Zomorodian, A., Carlsson, G., & Guibas, L. J. (2004) · Computers & Graphics

3D Shape Modeling and AnalysisTopological and Geometric Data Analysis

Cited by 132

Structural Insight into RNA Hairpin Folding Intermediates

Bowman, G. R., Huang, X., Yao, Y., Sun, J., Carlsson, G., Guibas, L. J., & Pande, V. S. (2008) · Journal of the American Chemical Society

RNA and protein synthesis mechanismsProtein Structure and Dynamics

Cited by 101

Localized homology

Zomorodian, A., & Carlsson, G. (2008) · Computational Geometry

Topological and Geometric Data Analysis3D Shape Modeling and Analysis

Cited by 89

Persistent Clustering and a Theorem of J. Kleinberg

Carlsson, G., & Memoli, F. (2008) · arXiv

Advanced Clustering Algorithms ResearchTopological and Geometric Data Analysis

Cited by 28

Building Markov state models with solvent dynamics

Gu, C., Chang, H.-W., Maibaum, L., Pande, V. S., Carlsson, G. E., & Guibas, L. J. (2013) · BMC Bioinformatics

Protein Structure and DynamicsAdvanced Physical and Chemical Molecular Interactions

Cited by 21

A near optimal coder for image geometry with adaptive partitioning

Maleki, A., Shahram, M., & Carlsson, G. (2008) · 2008 15th IEEE International Conference on Image Processing

Advanced Data Compression TechniquesVideo Coding and Compression Technologies

Cited by 8