Interconnection Networks Based on a Generalization of Cube-Connected Cycles. - Gunnar E. Carlsson; J. E. Cruthirds; Harlan B. Sexton; C. G. Wright (IEEE Trans. Computers, 1985)

Small Diameter Symmetric Networks from Linear Groups. - 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 (IEEE Trans. Computers, 1992)

Topological estimation using witness complexes. - Vin de Silva; Gunnar E. Carlsson (PBG, 2004)

A geometric framework for sparse matrix problems. - Gunnar E. Carlsson; Vin de Silva (Adv. Appl. Math., 2004)

A barcode shape descriptor for curve point cloud data. - Anne D. Collins; Afra Zomorodian; Gunnar E. Carlsson; Leonidas J. Guibas (Comput. Graph., 2004)

Computing Persistent Homology. - Afra Zomorodian; Gunnar E. Carlsson (Discret. Comput. Geom., 2005)

Persistence Barcodes for Shapes. - Gunnar E. Carlsson; Afra Zomorodian; Anne D. Collins; Leonidas J. Guibas (Int. J. Shape Model., 2005)

An Algebraic Topological Method for Feature Identification. - Erik Carlsson; Gunnar E. Carlsson; Vin de Silva (Int. J. Comput. Geom. Appl., 2006)

Topological Methods for the Analysis of High Dimensional Data Sets and 3D Object Recognition. - Gurjeet Singh; Facundo Mémoli; Gunnar E. Carlsson (PBG@Eurographics, 2007)

ε-entropy of piecewise polynomial functions and tree partitioning compression. - Arian Maleki; Gunnar E. Carlsson (ICASSP, 2008)

A near optimal coder for image geometry with adaptive partitioning. - Arian Maleki; Morteza Shahram; Gunnar E. Carlsson (ICIP, 2008)

Localized homology. - Afra Zomorodian; Gunnar E. Carlsson (Comput. Geom., 2008)

Algorithmic and Statistical Challenges in Modern Large-Scale Data Analysis are the Focus of MMDS 2008 - Michael W. Mahoney; Lek-Heng Lim; Gunnar E. Carlsson (CoRR, 2008)

On the Local Behavior of Spaces of Natural Images. - Gunnar E. Carlsson; Tigran Ishkhanov; Vin de Silva; Afra Zomorodian (Int. J. Comput. Vis., 2008)

Algorithmic and statistical challenges in modern largescale data analysis are the focus of MMDS 2008. - Michael W. Mahoney; Lek-Heng Lim; Gunnar E. Carlsson (SIGKDD Explor., 2008)

Zigzag persistent homology and real-valued functions. - Gunnar E. Carlsson; Vin de Silva; Dmitriy Morozov (SCG, 2009)

The Theory of Multidimensional Persistence. - Gunnar E. Carlsson; Afra Zomorodian (Discret. Comput. Geom., 2009)

On the Nonlinear Statistics of Range Image Patches. - Henry Adams; Gunnar E. Carlsson (SIAM J. Imaging Sci., 2009)

Constructing Multi-Resolution Markov State Models (MSMs) to Elucidate RNA Hairpin Folding Mechanisms. - Xuhui Huang; Yuan Yao 011; Gregory R. Bowman; Jian Sun 002; Leonidas J. Guibas; Gunnar E. Carlsson; Vijay S. Pande (Pacific Symposium on Biocomputing, 2010)

Zigzag Persistence. - Gunnar E. Carlsson; Vin de Silva (Found. Comput. Math., 2010)

Characterization, Stability and Convergence of Hierarchical Clustering Methods. - Gunnar E. Carlsson; Facundo Mémoli (J. Mach. Learn. Res., 2010)

Computing Multidimensional Persistence. - Gunnar E. Carlsson; Gurjeet Singh; Afra Zomorodian (J. Comput. Geom., 2010)

Homological Coordinatization - Andrew Tausz; Gunnar E. Carlsson (CoRR, 2011)

Applications of Zigzag Persistence to Topological Data Analysis - Andrew Tausz; Gunnar E. Carlsson (CoRR, 2011)

Computational topology for configuration spaces of hard disks - Gunnar E. Carlsson; Jackson Gorham; Matthew Kahle; Jeremy Mason (CoRR, 2011)

A Topological Paradigm for Hippocampal Spatial Map Formation Using Persistent Homology. - Yu. Dabaghian; Facundo Mémoli; Loren M. Frank; Gunnar E. Carlsson (PLoS Comput. Biol., 2012)

Hierarchical clustering methods and algorithms for asymmetric networks. - Gunnar E. Carlsson; Facundo Mémoli; Alejandro Ribeiro; Santiago Segarra (ACSSC, 2013)

Alternative axiomatic constructions for hierarchical clustering of asymmetric networks. - Gunnar E. Carlsson; Facundo Mémoli; Alejandro Ribeiro; Santiago Segarra (GlobalSIP, 2013)

Axiomatic construction of hierarchical clustering in asymmetric networks. - Gunnar E. Carlsson; Facundo Mémoli; Alejandro Ribeiro; Santiago Segarra (ICASSP, 2013)

Building Markov state models with solvent dynamics. - Chen Gu; Huang-Wei Chang; Lutz Maibaum; Vijay S. Pande; Gunnar E. Carlsson; Leonidas J. Guibas (BMC Bioinform., 2013)

Classifying Clustering Schemes. - Gunnar E. Carlsson; Facundo Mémoli (Found. Comput. Math., 2013)

Hierarchical Quasi-Clustering Methods for Asymmetric Networks. - Gunnar E. Carlsson; Facundo Mémoli; Alejandro Ribeiro; Santiago Segarra (ICML, 2014)

Topological pattern recognition for point cloud data. - Gunnar E. Carlsson (Acta Numer., 2014)

Classification of hepatic lesions using the matching metric. - Aaron Adcock; Daniel L. Rubin; Gunnar E. Carlsson (Comput. Vis. Image Underst., 2014)

A Klein-Bottle-Based Dictionary for Texture Representation. - Jose A. Perea; Gunnar E. Carlsson (Int. J. Comput. Vis., 2014)

Evasion paths in mobile sensor networks. - Henry Adams; Gunnar E. Carlsson (Int. J. Robotics Res., 2015)

Excisive Hierarchical Clustering Methods for Network Data. - Gunnar E. Carlsson; Facundo Mémoli; Alejandro Ribeiro; Santiago Segarra (CoRR, 2016)

On modules over infinite group rings. - Gunnar E. Carlsson; Boris Goldfarb (Int. J. Algebra Comput., 2016)

Numeric invariants from multidimensional persistence. - Jacek Skryzalin; Gunnar E. Carlsson (J. Appl. Comput. Topol., 2017)

Admissible Hierarchical Clustering Methods and Algorithms for Asymmetric Networks. - Gunnar E. Carlsson; Facundo Mémoli; Alejandro Ribeiro; Santiago Segarra (IEEE Trans. Signal Inf. Process. over Networks, 2017)

Hierarchical clustering of asymmetric networks. - Gunnar E. Carlsson; Facundo Mémoli; Alejandro Ribeiro; Santiago Segarra (Adv. Data Anal. Classif., 2018)

Fibres of Failure: Classifying errors in predictive processes. - Leo Carlsson; Gunnar E. Carlsson; Mikael Vejdemo-Johansson (CoRR, 2018)

A look at the topology of convolutional neural networks. - Rickard Brüel Gabrielsson; Gunnar E. Carlsson (CoRR, 2018)

Topological Approaches to Deep Learning. - Gunnar E. Carlsson; Rickard Brüel Gabrielsson (CoRR, 2018)

Exposition and Interpretation of the Topology of Neural Networks. - Rickard Brüel Gabrielsson; Gunnar E. Carlsson (ICMLA, 2019)

Persistent homology of the sum metric. - Gunnar E. Carlsson; Benjamin Filippenko (CoRR, 2019)

A Topology Layer for Machine Learning. - Rickard Brüel Gabrielsson; Bradley J. Nelson; Anjan Dwaraknath; Primoz Skraba; Leonidas J. Guibas; Gunnar E. Carlsson (CoRR, 2019)

Persistent and Zigzag Homology: A Matrix Factorization Viewpoint. - Gunnar E. Carlsson; Anjan Dwaraknath; Bradley J. Nelson (CoRR, 2019)

Fibers of Failure: Classifying Errors in Predictive Processes. - Leo Carlsson; Mikael Vejdemo-Johansson; Gunnar E. Carlsson; Pär G. Jönsson (Algorithms, 2020)

The space of sections of a smooth function. - Gunnar E. Carlsson; Benjamin Filippenko (CoRR, 2020)

Evaluating the Disentanglement of Deep Generative Models through Manifold Topology. - Sharon Zhou; Eric Zelikman; Fred Lu; Andrew Y. Ng; Gunnar E. Carlsson; Stefano Ermon (ICLR, 2021)

Topological Deep Learning. - Ephy R. Love; Benjamin Filippenko; Vasileios Maroulas; Gunnar E. Carlsson (CoRR, 2021)

Robust Hierarchical Clustering for Directed Networks: An Axiomatic Approach. - Gunnar E. Carlsson; Facundo Mémoli; Santiago Segarra (SIAM J. Appl. Algebra Geom., 2021)

Current Topological and Machine Learning Applications for Bias Detection in Text. - Colleen Farrelly; Yashbir Singh; Quincy A. Hathaway; Gunnar E. Carlsson; Ashok Choudhary; Rahul Paul; Gianfranco Doretto; Yassine Himeur; Shadi Atalls; Wathiq Mansoor (ICSPIS, 2023)

Topological Convolutional Layers for Deep Learning. - Ephy R. Love; Benjamin Filippenko; Vasileios Maroulas; Gunnar E. Carlsson (J. Mach. Learn. Res., 2023)

Position: Topological Deep Learning is the New Frontier for Relational Learning. - Theodore Papamarkou; Tolga Birdal; Michael M. Bronstein; Gunnar E. Carlsson; Justin Curry; Yue Gao; Mustafa Hajij; Roland Kwitt; Pietro Lio; Paolo Di Lorenzo; Vasileios Maroulas; Nina Miolane; et al. (ICML, 2024)

Position Paper: Challenges and Opportunities in Topological Deep Learning. - Theodore Papamarkou; Tolga Birdal; Michael M. Bronstein; Gunnar E. Carlsson; Justin Curry; Yue Gao; Mustafa Hajij; Roland Kwitt; Pietro Liò; Paolo Di Lorenzo; Vasileios Maroulas; Nina Miolane; et al. (CoRR, 2024)

Proceedings of ATMCS10. - Ulrike Tillmann; Gunnar E. Carlsson (J. Appl. Comput. Topol., 2024)

Data science for graphs. - Gunnar E. Carlsson; Santiago Segarra (J. Appl. Comput. Topol., 2024)