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Gunnar E. Carlsson
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2020 – today
- 2021
- [j26]Gunnar E. Carlsson, Facundo Mémoli, Santiago Segarra
:
Robust Hierarchical Clustering for Directed Networks: An Axiomatic Approach. SIAM J. Appl. Algebra Geom. 5(4): 675-700 (2021) - [c18]Sharon Zhou, Eric Zelikman, Fred Lu, Andrew Y. Ng, Gunnar E. Carlsson, Stefano Ermon:
Evaluating the Disentanglement of Deep Generative Models through Manifold Topology. ICLR 2021 - [i17]Gunnar E. Carlsson, Facundo Mémoli, Santiago Segarra:
Robust Hierarchical Clustering for Directed Networks: An Axiomatic Approach. CoRR abs/2108.07247 (2021) - 2020
- [j25]Leo Carlsson, Mikael Vejdemo-Johansson
, Gunnar E. Carlsson, Pär G. Jönsson
:
Fibers of Failure: Classifying Errors in Predictive Processes. Algorithms 13(6): 150 (2020)
2010 – 2019
- 2019
- [c17]Rickard Brüel Gabrielsson, Gunnar E. Carlsson:
Exposition and Interpretation of the Topology of Neural Networks. ICMLA 2019: 1069-1076 - [i16]Rickard Brüel Gabrielsson, Bradley J. Nelson, Anjan Dwaraknath, Primoz Skraba, Leonidas J. Guibas, Gunnar E. Carlsson:
A Topology Layer for Machine Learning. CoRR abs/1905.12200 (2019) - [i15]Gunnar E. Carlsson, Anjan Dwaraknath, Bradley J. Nelson:
Persistent and Zigzag Homology: A Matrix Factorization Viewpoint. CoRR abs/1911.10693 (2019) - 2018
- [j24]Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro
, Santiago Segarra
:
Hierarchical clustering of asymmetric networks. Adv. Data Anal. Classif. 12(1): 65-105 (2018) - [i14]Leo Carlsson, Gunnar E. Carlsson, Mikael Vejdemo-Johansson:
Fibres of Failure: Classifying errors in predictive processes. CoRR abs/1803.00384 (2018) - [i13]Rickard Brüel Gabrielsson, Gunnar E. Carlsson:
A look at the topology of convolutional neural networks. CoRR abs/1810.03234 (2018) - [i12]Gunnar E. Carlsson, Rickard Brüel Gabrielsson:
Topological Approaches to Deep Learning. CoRR abs/1811.01122 (2018) - 2017
- [j23]Jacek Skryzalin
, Gunnar E. Carlsson:
Numeric invariants from multidimensional persistence. J. Appl. Comput. Topol. 1(1): 89-119 (2017) - [j22]Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro
, Santiago Segarra
:
Admissible Hierarchical Clustering Methods and Algorithms for Asymmetric Networks. IEEE Trans. Signal Inf. Process. over Networks 3(4): 711-727 (2017) - 2016
- [j21]Gunnar E. Carlsson, Boris Goldfarb
:
On modules over infinite group rings. Int. J. Algebra Comput. 26(3): 451-466 (2016) - [i11]Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra:
Hierarchical Clustering of Asymmetric Networks. CoRR abs/1607.06294 (2016) - [i10]Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra:
Admissible Hierarchical Clustering Methods and Algorithms for Asymmetric Networks. CoRR abs/1607.06335 (2016) - [i9]Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra:
Excisive Hierarchical Clustering Methods for Network Data. CoRR abs/1607.06339 (2016) - 2015
- [j20]Henry Adams, Gunnar E. Carlsson:
Evasion paths in mobile sensor networks. Int. J. Robotics Res. 34(1): 90-104 (2015) - 2014
- [j19]Jose A. Perea, Gunnar E. Carlsson:
A Klein-Bottle-Based Dictionary for Texture Representation. Int. J. Comput. Vis. 107(1): 75-97 (2014) - [c16]Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra:
Hierarchical Quasi-Clustering Methods for Asymmetric Networks. ICML 2014: 352-360 - [i8]Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra:
Hierarchical Quasi-Clustering Methods for Asymmetric Networks. CoRR abs/1404.4655 (2014) - [i7]Jacek Skryzalin, Gunnar E. Carlsson:
Numeric Invariants from Multidimensional Persistence. CoRR abs/1411.4022 (2014) - 2013
- [j18]Chen Gu, Huang-Wei Chang, Lutz Maibaum, Vijay S. Pande, Gunnar E. Carlsson, Leonidas J. Guibas:
Building Markov state models with solvent dynamics. BMC Bioinform. 14(S-2): S8 (2013) - [j17]Gunnar E. Carlsson, Facundo Mémoli:
Classifying Clustering Schemes. Found. Comput. Math. 13(2): 221-252 (2013) - [c15]Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro
, Santiago Segarra
:
Hierarchical clustering methods and algorithms for asymmetric networks. ACSSC 2013: 1773-1777 - [c14]Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro
, Santiago Segarra
:
Alternative axiomatic constructions for hierarchical clustering of asymmetric networks. GlobalSIP 2013: 791-794 - [c13]Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro
, Santiago Segarra
:
Axiomatic construction of hierarchical clustering in asymmetric networks. ICASSP 2013: 5219-5223 - [i6]Gunnar E. Carlsson, Facundo Mémoli, Alejandro Ribeiro, Santiago Segarra:
Axiomatic Construction of Hierarchical Clustering in Asymmetric Networks. CoRR abs/1301.7724 (2013) - 2012
- [j16]Yu. Dabaghian
, Facundo Mémoli, Loren M. Frank
, Gunnar E. Carlsson:
A Topological Paradigm for Hippocampal Spatial Map Formation Using Persistent Homology. PLoS Comput. Biol. 8(8) (2012) - 2011
- [i5]Andrew Tausz, Gunnar E. Carlsson:
Homological Coordinatization. CoRR abs/1107.0511 (2011) - [i4]Andrew Tausz, Gunnar E. Carlsson:
Applications of Zigzag Persistence to Topological Data Analysis. CoRR abs/1108.3545 (2011) - 2010
- [j15]Gunnar E. Carlsson, Vin de Silva:
Zigzag Persistence. Found. Comput. Math. 10(4): 367-405 (2010) - [j14]Gunnar E. Carlsson, Facundo Mémoli:
Characterization, Stability and Convergence of Hierarchical Clustering Methods. J. Mach. Learn. Res. 11: 1425-1470 (2010) - [j13]Gunnar E. Carlsson, Gurjeet Singh, Afra Zomorodian:
Computing Multidimensional Persistence. J. Comput. Geom. 1(1): 72-100 (2010) - [c12]Xuhui Huang, Yuan Yao, Gregory R. Bowman, Jian Sun, Leonidas J. Guibas, Gunnar E. Carlsson, Vijay S. Pande:
Constructing Multi-Resolution Markov State Models (MSMs) to Elucidate RNA Hairpin Folding Mechanisms. Pacific Symposium on Biocomputing 2010: 228-239 - [i3]Gunnar E. Carlsson, Facundo Mémoli:
Classifying Clustering Schemes. CoRR abs/1011.5270 (2010)
2000 – 2009
- 2009
- [j12]Gunnar E. Carlsson, Afra Zomorodian:
The Theory of Multidimensional Persistence. Discret. Comput. Geom. 42(1): 71-93 (2009) - [j11]Henry Adams, Gunnar E. Carlsson:
On the Nonlinear Statistics of Range Image Patches. SIAM J. Imaging Sci. 2(1): 110-117 (2009) - [c11]Gunnar E. Carlsson, Vin de Silva, Dmitriy Morozov:
Zigzag persistent homology and real-valued functions. SCG 2009: 247-256 - [c10]Gunnar E. Carlsson, Gurjeet Singh, Afra Zomorodian:
Computing Multidimensional Persistence. ISAAC 2009: 730-739 - 2008
- [j10]Afra Zomorodian, Gunnar E. Carlsson:
Localized homology. Comput. Geom. 41(3): 126-148 (2008) - [j9]Gunnar E. Carlsson, Tigran Ishkhanov, Vin de Silva, Afra Zomorodian:
On the Local Behavior of Spaces of Natural Images. Int. J. Comput. Vis. 76(1): 1-12 (2008) - [j8]Michael W. Mahoney, Lek-Heng Lim, Gunnar E. Carlsson:
Algorithmic and statistical challenges in modern largescale data analysis are the focus of MMDS 2008. SIGKDD Explor. 10(2): 57-60 (2008) - [c9]Arian Maleki, Gunnar E. Carlsson:
ε-entropy of piecewise polynomial functions and tree partitioning compression. ICASSP 2008: 1181-1184 - [c8]Arian Maleki, Morteza Shahram, Gunnar E. Carlsson:
A near optimal coder for image geometry with adaptive partitioning. ICIP 2008: 1061-1064 - [i2]Gunnar E. Carlsson, Vin de Silva:
Zigzag Persistence. CoRR abs/0812.0197 (2008) - [i1]Michael W. Mahoney, Lek-Heng Lim, Gunnar E. Carlsson:
Algorithmic and Statistical Challenges in Modern Large-Scale Data Analysis are the Focus of MMDS 2008. CoRR abs/0812.3702 (2008) - 2007
- [c7]Gunnar E. Carlsson, Afra Zomorodian:
The theory of multidimensional persistence. SCG 2007: 184-193 - [c6]Afra Zomorodian, Gunnar E. Carlsson:
Localized Homology. Shape Modeling International 2007: 189-198 - [c5]Gurjeet Singh, Facundo Mémoli, Gunnar E. Carlsson:
Topological Methods for the Analysis of High Dimensional Data Sets and 3D Object Recognition. PBG@Eurographics 2007: 91-100 - 2006
- [j7]Erik Carlsson, Gunnar E. Carlsson, Vin de Silva:
An Algebraic Topological Method for Feature Identification. Int. J. Comput. Geom. Appl. 16(4): 291-314 (2006) - 2005
- [j6]Afra Zomorodian, Gunnar E. Carlsson:
Computing Persistent Homology. Discret. Comput. Geom. 33(2): 249-274 (2005) - [j5]Gunnar E. Carlsson, Afra Zomorodian, Anne D. Collins, Leonidas J. Guibas:
Persistence Barcodes for Shapes. Int. J. Shape Model. 11(2): 149-188 (2005) - 2004
- [j4]Gunnar E. Carlsson, Vin de Silva:
A geometric framework for sparse matrix problems. Adv. Appl. Math. 33(1): 1-25 (2004) - [j3]Anne D. Collins, Afra Zomorodian, Gunnar E. Carlsson, Leonidas J. Guibas:
A barcode shape descriptor for curve point cloud data. Comput. Graph. 28(6): 881-894 (2004) - [c4]Afra Zomorodian, Gunnar E. Carlsson:
Computing persistent homology. SCG 2004: 347-356 - [c3]Gunnar E. Carlsson, Afra Zomorodian, Anne D. Collins, Leonidas J. Guibas:
Persistence Barcodes for Shapes. Symposium on Geometry Processing 2004: 124-135 - [c2]Vin de Silva, Gunnar E. Carlsson:
Topological estimation using witness complexes. PBG 2004: 157-166 - [c1]Anne D. Collins, Afra Zomorodian, Gunnar E. Carlsson, Leonidas J. Guibas:
A Barcode Shape Descriptor for Curve Point Cloud Data. PBG 2004: 181-191
1990 – 1999
- 1992
- [j2]Lowell Campbell, Gunnar E. Carlsson, Michael J. Dinneen
, Vance Faber, Michael R. Fellows
, Michael A. Langston, James W. Moore, Andrew P. Mullhaupt, Harlan B. Sexton:
Small Diameter Symmetric Networks from Linear Groups. IEEE Trans. Computers 41(2): 218-220 (1992)
1980 – 1989
- 1985
- [j1]Gunnar E. Carlsson, J. E. Cruthirds, Harlan B. Sexton, C. G. Wright:
Interconnection Networks Based on a Generalization of Cube-Connected Cycles. IEEE Trans. Computers 34(8): 769-772 (1985)
Coauthor Index
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