Gunnar E. Carlsson

Santiago Segarra

J. Appl. Comput. Topol., October, 2024

Proceedings of ATMCS10.

[BibT_eX]

[DOI]

Ulrike Tillmann

J. Appl. Comput. Topol., September, 2024

Position Paper: Challenges and Opportunities in Topological Deep Learning.

[BibT_eX]

[DOI]

CoRR, 2024

Position: Topological Deep Learning is the New Frontier for Relational Learning.

[BibT_eX]

[DOI]

Proceedings of the Forty-first International Conference on Machine Learning, 2024

2023

Topological Convolutional Layers for Deep Learning.

[BibT_eX]

[DOI]

J. Mach. Learn. Res., 2023

Current Topological and Machine Learning Applications for Bias Detection in Text.

[BibT_eX]

[DOI]

CoRR, 2023

Current Topological and Machine Learning Applications for Bias Detection in Text.

[BibT_eX]

[DOI]

Proceedings of the 6th International Conference on Signal Processing and Information Security, 2023

2021

Robust Hierarchical Clustering for Directed Networks: An Axiomatic Approach.

[BibT_eX]

[DOI]

Santiago Segarra

SIAM J. Appl. Algebra Geom., 2021

Topological Deep Learning.

[BibT_eX]

[DOI]

CoRR, 2021

Evaluating the Disentanglement of Deep Generative Models through Manifold Topology.

[BibT_eX]

[DOI]

Proceedings of the 9th International Conference on Learning Representations, 2021

2020

The space of sections of a smooth function.

[BibT_eX]

[DOI]

Benjamin Filippenko

CoRR, 2020

Fibers of Failure: Classifying Errors in Predictive Processes.

[BibT_eX]

[DOI]

Leo Carlsson

Mikael Vejdemo-Johansson

Pär G. Jönsson

Algorithms, 2020

2019

Persistent and Zigzag Homology: A Matrix Factorization Viewpoint.

[BibT_eX]

[DOI]

Anjan Dwaraknath

Bradley J. Nelson

CoRR, 2019

A Topology Layer for Machine Learning.

[BibT_eX]

[DOI]

CoRR, 2019

Persistent homology of the sum metric.

[BibT_eX]

[DOI]

Benjamin Filippenko

CoRR, 2019

Exposition and Interpretation of the Topology of Neural Networks.

[BibT_eX]

[DOI]

Proceedings of the 18th IEEE International Conference On Machine Learning And Applications, 2019

2018

Topological Approaches to Deep Learning.

[BibT_eX]

[DOI]

CoRR, 2018

A look at the topology of convolutional neural networks.

[BibT_eX]

[DOI]

CoRR, 2018

Fibres of Failure: Classifying errors in predictive processes.

[BibT_eX]

[DOI]

Leo Carlsson

Mikael Vejdemo-Johansson

CoRR, 2018

Hierarchical clustering of asymmetric networks.

[BibT_eX]

[DOI]

Adv. Data Anal. Classif., 2018

2017

Admissible Hierarchical Clustering Methods and Algorithms for Asymmetric Networks.

[BibT_eX]

[DOI]

IEEE Trans. Signal Inf. Process. over Networks, 2017

Numeric invariants from multidimensional persistence.

[BibT_eX]

[DOI]

Jacek Skryzalin

J. Appl. Comput. Topol., 2017

2016

On modules over infinite group rings.

[BibT_eX]

[DOI]

Boris Goldfarb

Int. J. Algebra Comput., 2016

Excisive Hierarchical Clustering Methods for Network Data.

[BibT_eX]

[DOI]

CoRR, 2016

2015

Evasion paths in mobile sensor networks.

[BibT_eX]

[DOI]

Henry Adams

Int. J. Robotics Res., 2015

2014

A Klein-Bottle-Based Dictionary for Texture Representation.

[BibT_eX]

[DOI]

Jose A. Perea

Int. J. Comput. Vis., 2014

Classification of hepatic lesions using the matching metric.

[BibT_eX]

[DOI]

Aaron Adcock

Daniel L. Rubin

Comput. Vis. Image Underst., 2014

Topological pattern recognition for point cloud data.

[BibT_eX]

[DOI]

Acta Numer., 2014

Hierarchical Quasi-Clustering Methods for Asymmetric Networks.

[BibT_eX]

[DOI]

Proceedings of the 31th International Conference on Machine Learning, 2014

2013

Classifying Clustering Schemes.

[BibT_eX]

[DOI]

Found. Comput. Math., 2013

Building Markov state models with solvent dynamics.

[BibT_eX]

[DOI]

BMC Bioinform., 2013

Axiomatic construction of hierarchical clustering in asymmetric networks.

[BibT_eX]

[DOI]

Proceedings of the IEEE International Conference on Acoustics, 2013

Alternative axiomatic constructions for hierarchical clustering of asymmetric networks.

[BibT_eX]

[DOI]

Proceedings of the IEEE Global Conference on Signal and Information Processing, 2013

Hierarchical clustering methods and algorithms for asymmetric networks.

[BibT_eX]

[DOI]

Proceedings of the 2013 Asilomar Conference on Signals, 2013

2012

A Topological Paradigm for Hippocampal Spatial Map Formation Using Persistent Homology.

[BibT_eX]

[DOI]

PLoS Comput. Biol., 2012

2011

Computational topology for configuration spaces of hard disks

[BibT_eX]

[DOI]

CoRR, 2011

Applications of Zigzag Persistence to Topological Data Analysis

[BibT_eX]

[DOI]

Andrew Tausz

CoRR, 2011

Homological Coordinatization

[BibT_eX]

[DOI]

Andrew Tausz

CoRR, 2011

2010

Computing Multidimensional Persistence.

[BibT_eX]

[DOI]

Gurjeet Singh

J. Comput. Geom., 2010

Characterization, Stability and Convergence of Hierarchical Clustering Methods.

[BibT_eX]

[DOI]

J. Mach. Learn. Res., 2010

Zigzag Persistence.

[BibT_eX]

[DOI]

Found. Comput. Math., 2010

Constructing Multi-Resolution Markov State Models (MSMs) to Elucidate RNA Hairpin Folding Mechanisms.

[BibT_eX]

[DOI]

Proceedings of the Biocomputing 2010: Proceedings of the Pacific Symposium, 2010

2009

On the Nonlinear Statistics of Range Image Patches.

[BibT_eX]

[DOI]

Henry Adams

SIAM J. Imaging Sci., 2009

The Theory of Multidimensional Persistence.

[BibT_eX]

[DOI]

Discret. Comput. Geom., 2009

Zigzag persistent homology and real-valued functions.

[BibT_eX]

[DOI]

Dmitriy Morozov

Proceedings of the 25th ACM Symposium on Computational Geometry, 2009

2008

Algorithmic and statistical challenges in modern largescale data analysis are the focus of MMDS 2008.

[BibT_eX]

[DOI]

Michael W. Mahoney

Lek-Heng Lim

SIGKDD Explor., 2008

On the Local Behavior of Spaces of Natural Images.

[BibT_eX]

[DOI]

Int. J. Comput. Vis., 2008

Algorithmic and Statistical Challenges in Modern Large-Scale Data Analysis are the Focus of MMDS 2008

[BibT_eX]

[DOI]

Michael W. Mahoney

Lek-Heng Lim

CoRR, 2008

Localized homology.

[BibT_eX]

[DOI]

Comput. Geom., 2008

A near optimal coder for image geometry with adaptive partitioning.

[BibT_eX]

[DOI]

Arian Maleki

Morteza Shahram

Proceedings of the International Conference on Image Processing, 2008

ε-entropy of piecewise polynomial functions and tree partitioning compression.

[BibT_eX]

[DOI]

Arian Maleki

Proceedings of the IEEE International Conference on Acoustics, 2008

2007

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

[BibT_eX]

[DOI]

Gurjeet Singh

Proceedings of the 4th Symposium on Point Based Graphics, 2007

2006

An Algebraic Topological Method for Feature Identification.

[BibT_eX]

[DOI]

Erik Carlsson

Int. J. Comput. Geom. Appl., 2006

2005

Persistence Barcodes for Shapes.

[BibT_eX]

[DOI]

Int. J. Shape Model., 2005

Computing Persistent Homology.

[BibT_eX]

[DOI]

Discret. Comput. Geom., 2005

2004

A barcode shape descriptor for curve point cloud data.

[BibT_eX]

[DOI]

Comput. Graph., 2004

A geometric framework for sparse matrix problems.

[BibT_eX]

[DOI]

Adv. Appl. Math., 2004

Topological estimation using witness complexes.

[BibT_eX]

[DOI]