Rocío González-Díaz

Miguel Angel Gutiérrez-Naranjo

Matteo Rucco

CoRR, 2024

SIMAP: A simplicial-map layer for neural networks.

[BibT_eX]

[DOI]

CoRR, 2024

2023

Partial matchings induced by morphisms between persistence modules.

[BibT_eX]

[DOI]

M. Soriano-Trigueros

Álvaro Torras-Casas

Comput. Geom., June, 2023

A Topological Approach to Measuring Training Data Quality.

[BibT_eX]

[DOI]

Álvaro Torras-Casas

CoRR, 2023

Explainability in Simplicial Map Neural Networks.

[BibT_eX]

[DOI]

CoRR, 2023

Abandoned Object Detection Using Persistent Homology.

[BibT_eX]

[DOI]

Proceedings of the Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications, 2023

2022

Topology-based representative datasets to reduce neural network training resources.

[BibT_eX]

[DOI]

Neural Comput. Appl., 2022

Continuous Well-Composedness Implies Digital Well-Composedness in n-D.

[BibT_eX]

[DOI]

J. Math. Imaging Vis., 2022

Characterizing slope regions.

[BibT_eX]

[DOI]

J. Comb. Optim., 2022

Strong Euler well-composedness.

[BibT_eX]

[DOI]

J. Comb. Optim., 2022

A Step Towards Learning Contraction Kernels for Irregular Image Pyramid.

[BibT_eX]

[DOI]

Darshan Batavia

Walter G. Kropatsch

Proceedings of the 11th International Conference on Pattern Recognition Applications and Methods, 2022

2021

Optimizing the Simplicial-Map Neural Network Architecture.

[BibT_eX]

[DOI]

Jónathan Heras

J. Imaging, 2021

Emotion recognition in talking-face videos using persistent entropy and neural networks.

[BibT_eX]

[DOI]

Guillermo Aguirre-Carrazana

CoRR, 2021

Persistence Partial Matchings Induced by Morphisms between Persistence Modules.

[BibT_eX]

[DOI]

Manuel Soriano-Trigueros

CoRR, 2021

2020

Approximating lower-star persistence via 2D combinatorial map simplification.

[BibT_eX]

[DOI]

Ryan Slechta

Pattern Recognit. Lett., 2020

On the stability of persistent entropy and new summary functions for topological data analysis.

[BibT_eX]

[DOI]

Manuel Soriano-Trigueros

Pattern Recognit., 2020

Two-hidden-layer feed-forward networks are universal approximators: A constructive approach.

[BibT_eX]

[DOI]

Neural Networks, 2020

Image = Structure + Few Colors.

[BibT_eX]

[DOI]

Darshan Batavia

Walter G. Kropatsch

Proceedings of the Structural, Syntactic, and Statistical Pattern Recognition, 2020

A 4D Counter-Example Showing that DWCness Does Not Imply CWCness in nD.

[BibT_eX]

[DOI]

Proceedings of the Combinatorial Image Analysis - 20th International Workshop, 2020

Euler Well-Composedness.

[BibT_eX]

[DOI]

Proceedings of the Combinatorial Image Analysis - 20th International Workshop, 2020

2019

Persistent entropy for separating topological features from noise in vietoris-rips complexes.

[BibT_eX]

[DOI]

Matteo Rucco

J. Intell. Inf. Syst., 2019

Weakly well-composed cell complexes over nD pictures.

[BibT_eX]

[DOI]

Inf. Sci., 2019

Towards a Philological Metric through a Topological Data Analysis Approach.

[BibT_eX]

[DOI]

CoRR, 2019

Two-hidden-layer Feedforward Neural Networks are Universal Approximators: A Constructive Approach.

[BibT_eX]

[DOI]

CoRR, 2019

Topological signature for periodic motion recognition.

[BibT_eX]

[DOI]

Javier Lamar-León

Edel B. García Reyes

CoRR, 2019

Representative Datasets: The Perceptron Case.

[BibT_eX]

[DOI]

CoRR, 2019

Congratulations! Dual Graphs Are Now Orientated!

[BibT_eX]

[DOI]

Proceedings of the Graph-Based Representations in Pattern Recognition, 2019

On the Space Between Critical Points.

[BibT_eX]

[DOI]

Proceedings of the Discrete Geometry for Computer Imagery, 2019

One More Step Towards Well-Composedness of Cell Complexes over nD Pictures.

[BibT_eX]

[DOI]

Proceedings of the Discrete Geometry for Computer Imagery, 2019

Computing and Reducing Slope Complexes.

[BibT_eX]

[DOI]

Proceedings of the Computational Topology in Image Context - 7th International Workshop, 2019

Towards Emotion Recognition: A Persistent Entropy Application.

[BibT_eX]

[DOI]

José F. Quesada

Proceedings of the Computational Topology in Image Context - 7th International Workshop, 2019

Persistent Homology Computation Using Combinatorial Map Simplification.

[BibT_eX]

[DOI]

Proceedings of the Computational Topology in Image Context - 7th International Workshop, 2019

2018

Topological tracking of connected components in image sequences.

[BibT_eX]

[DOI]

Maria Jose Jimenez

J. Comput. Syst. Sci., 2018

Representative datasets for neural networks.

[BibT_eX]

[DOI]

Electron. Notes Discret. Math., 2018

A new entropy based summary function for topological data analysis.

[BibT_eX]

[DOI]

M. Soriano-Trigueros

Electron. Notes Discret. Math., 2018

On the stability of persistent entropy and new summary functions for TDA.

[BibT_eX]

[DOI]

M. Soriano-Trigueros

CoRR, 2018

2017

A new topological entropy-based approach for measuring similarities among piecewise linear functions.

[BibT_eX]

[DOI]

Signal Process., 2017

Efficiently Storing Well-Composed Polyhedral Complexes Computed Over 3D Binary Images.

[BibT_eX]

[DOI]

Maria Jose Jimenez

J. Math. Imaging Vis., 2017

Persistent-homology-based gait recognition.

[BibT_eX]

[DOI]

CoRR, 2017

2016

Topology-based image segmentation using LBP pyramids.

[BibT_eX]

[DOI]

Mach. Vis. Appl., 2016

Separating Topological Noise from Features Using Persistent Entropy.

[BibT_eX]

[DOI]

Matteo Rucco

Proceedings of the Software Technologies: Applications and Foundations, 2016

Persistent homology-based gait recognition robust to upper body variations.

[BibT_eX]

[DOI]

Proceedings of the 23rd International Conference on Pattern Recognition, 2016

Encoding Specific 3D Polyhedral Complexes Using 3D Binary Images.

[BibT_eX]

[DOI]

Maria Jose Jimenez

Proceedings of the Discrete Geometry for Computer Imagery, 2016

Parallel Homology Computation of Meshes.

[BibT_eX]

[DOI]

Proceedings of the Computational Topology in Image Context - 6th International Workshop, 2016

2015

An entropy-based persistence barcode.

[BibT_eX]

[DOI]

Pattern Recognit., 2015

3D well-composed polyhedral complexes.

[BibT_eX]

[DOI]

Discret. Appl. Math., 2015

Preface.

[BibT_eX]

[DOI]

David Coeurjolly

Discret. Appl. Math., 2015

Spatiotemporal Barcodes for Image Sequence Analysis.

[BibT_eX]

[DOI]

Proceedings of the Combinatorial Image Analysis - 17th International Workshop, 2015

LBP and Irregular Graph Pyramids.

[BibT_eX]

[DOI]

Martin Cerman

Walter G. Kropatsch

Proceedings of the Computer Analysis of Images and Patterns, 2015

2014

Computing Cup Products in Z<sub>2</sub>-Cohomology of 3D Polyhedral Complexes.

[BibT_eX]

[DOI]

Javier Lamar

Ronald Umble

Found. Comput. Math., 2014

Removal and Contraction Operations in nD Generalized Maps for Efficient Homology Computation.

[BibT_eX]

[DOI]

Samuel Peltier

CoRR, 2014

Gait-Based Carried Object Detection Using Persistent Homology.

[BibT_eX]

[DOI]

Proceedings of the Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications, 2014

Topological Features for Monitoring Human Activities at Distance.

[BibT_eX]

[DOI]

Proceedings of the Activity Monitoring by Multiple Distributed Sensing, 2014

2013

Towards Minimal Barcodes.

[BibT_eX]

[DOI]

Hamid Krim

Proceedings of the Graph-Based Representations in Pattern Recognition, 2013

Gait-Based Gender Classification Using Persistent Homology.

[BibT_eX]

[DOI]

Proceedings of the Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications, 2013

2012

Computational Topology in Image Context.

[BibT_eX]

[DOI]

Pedro Real Jurado

Pattern Recognit. Lett., 2012

On the Z/2-Cohomology of 3D Polyhedral Approximations

[BibT_eX]

[DOI]

Javier Lamar

Ronald Umble

CoRR, 2012

Removal Operations in nD Generalized Maps for Efficient Homology Computation.

[BibT_eX]

[DOI]

Samuel Peltier

Proceedings of the Computational Topology in Image Context - 4th International Workshop, 2012

Human Gait Identification Using Persistent Homology.

[BibT_eX]

[DOI]

Javier Lamar-León

Edel B. García Reyes

Proceedings of the Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications, 2012

2011

Cubical cohomology ring of 3D photographs.

[BibT_eX]

[DOI]

Int. J. Imaging Syst. Technol., 2011

Invariant representative cocycles of cohomology generators using irregular graph pyramids.

[BibT_eX]

[DOI]

Comput. Vis. Image Underst., 2011

Cup Products on Polyhedral Approximations of 3D Digital Images.

[BibT_eX]

[DOI]

Javier Lamar

Ronald Umble

Proceedings of the Combinatorial Image Analysis - 14th International Workshop, 2011

Well-Composed Cell Complexes.

[BibT_eX]

[DOI]

Proceedings of the Discrete Geometry for Computer Imagery, 2011

Incremental-Decremental Algorithm for Computing AT-Models and Persistent Homology.

[BibT_eX]

[DOI]

Proceedings of the Computer Analysis of Images and Patterns, 2011

2009

A tool for integer homology computation: lambda-AT-model.

[BibT_eX]

[DOI]

Image Vis. Comput., 2009

Chain homotopies for object topological representations.

[BibT_eX]

[DOI]

Discret. Appl. Math., 2009

Cohomology Ring of 3D Cubical Complexes.

[BibT_eX]

Proceedings of the Progress in Combinatorial Image Analysis. Proceedings of IWCIA 2009 Special Track on Applications, 2009

Irregular Graph Pyramids and Representative Cocycles of Cohomology Generators.

[BibT_eX]

[DOI]

Proceedings of the Graph-Based Representations in Pattern Recognition, 2009

2008

Integral Operators for Computing Homology Generators at Any Dimension.

[BibT_eX]

[DOI]

Proceedings of the Progress in Pattern Recognition, 2008

2007

Extending the Notion of AT-Model for Integer Homology Computation.

[BibT_eX]

[DOI]

Proceedings of the Graph-Based Representations in Pattern Recognition, 2007

A Graph-with-Loop Structure for a Topological Representation of 3D Objects.

[BibT_eX]

[DOI]

Proceedings of the Computer Analysis of Images and Patterns, 12th International Conference, 2007

2006

Reusing Integer Homology Information of Binary Digital Images.

[BibT_eX]

[DOI]

Javier Sánchez-Peláez

Proceedings of the Discrete Geometry for Computer Imagery, 13th International Conference, 2006

Simplicial Perturbation Techniques and Effective Homology.

[BibT_eX]

[DOI]

Javier Sánchez-Peláez

Proceedings of the Computer Algebra in Scientific Computing, 9th International Workshop, 2006

2005

Simplification techniques for maps in simplicial topology.

[BibT_eX]

[DOI]

J. Symb. Comput., 2005

On the cohomology of 3D digital images.

[BibT_eX]

[DOI]

Discret. Appl. Math., 2005

Algebraic Topological Analysis of Time-Sequence of Digital Images.

[BibT_eX]

[DOI]

Javier Sánchez-Peláez

Proceedings of the Computer Algebra in Scientific Computing, 8th International Workshop, 2005

2003

Towards Digital Cohomology.

[BibT_eX]

[DOI]

Proceedings of the Discrete Geometry for Computer Imagery, 11th International Conference, 2003

1999

Computing Cocycles on Simplicial Complexes.

[BibT_eX]

[DOI]