Rocío González Díaz

Catedrática de Universidad

rogodi@us.es

Área de conocimiento: Matemática Aplicada

Departamento: Matemática Aplicada I

Grupo: COMBINATORIAL IMAGE ANALYSIS - FQM-369 (Universidad de Sevilla)

Instituto de Inv.: IMUS

Prog. doctorado: MATEMÁTICAS

0000-0001-9937-0033

I-1632-2012

10144482200

F2roqGUAAAAJ

1111085

1740

4506

A5078283118

Investiga en

Topological Data Analysis

Computational topology

Sustainable, explainable and reliable AI

Discreta and computational geometry

Computational algebraic topology

* H-index: 14 (Scopus), 12 (WoS)
- No. citations: 647 (Scopus), 493 (WoS)
- No. JCR Q1 papers: 9 (Neural. Comput. Appl., Neural networks, Pattern Recog., Information Sciences, Journal of Mathematics and Imaging and Vision, Signal Processing, Foundations of Computational Mathematics)- No. 6-year research periods: 4 "sexenios". Last concession: 01/01/2024.* PhD thesis co-advisor:
- B. Medrano. Algebra-topological model of representation and digital images. Coadvisor: P
Real. 17/12/2007. Associate Professor at the University of Seville.- J. Lamar. Topological algorithm for the identification of people by the way of walking.
CENATAV (Cuba). Coadvisor: E García-Reyes. 11/11/2015. Researcher at University of Evora.- E. Paluzo-Hidalgo. Computational topology on neural networks: from the data to the model.
Coadvisor: M Gutierrez-Naranjo. 14/05/2021. Associate Professor at Loyola University.- M Soriano-Trigueros. Barcodes of Persistence Modules: from Summaries to Matchings.
Coadvisor: MJ Jimenez. 16/05/2023. Postdoc researcher at IST, Austria.*Postdoc supervision: Recently, I have hired two postdocs: Alvaro Torras (within the research project TED2021-129438B-I00) and Matteo Rucco (within the research project REXASI-PRO GRANT AGREEMENT NO.101070028).*Mobility in the last ten years (with a contract in the hosting Research Center):
- CASIA (China). Program: NLPR Overseas Visiting Fellowship. Ent. Funding: CASIA (China).
Since: 01/07/2016. Until:30/08/2016 Amount financed: € 4,517.00
- CASIA (China). Program: NLPR Overseas Visiting Fellowship. Ent. Funding: CASIA (China).
Since: 30/06/2015. Until:30/07/2015. Amount financed: € 6,736.06
- NCSU (USA). Program: Research Support. Ent. Funding: NCSU (USA). Since: 21/06/2013.
Until: 30/07/2013. Amount financed: € 3,428.00.
*I got my doctorate in 2000 in the area of Combinatorial Algebraic Topology. In 2004, I got
a permanent position at the University of Seville. In 2005, I published 3 coauthored JCR
papers in the context of Simplicial Topology and Homological Perturbation Theory, I designed
a method to compute Adem and Steenrod cohomological operations from an Eilenberg-Zilber
contraction. The JCR paper “On the cohomology of 3D digital images” published in 2005 was
awarded for being the most cited article in the DAM journal during the years 2005-2010. In 2008 I started a very fruitful collaboration with the Pattern Recognition and Image Processing group led by Prof W Kropastch (TUWien, Austria). That year, I was invited as a 'guest teacher' and because of the stay, we published the paper “Invariant representative cocycles of cohomology generators using irregular graph pyramids” in a JCR Q1 journal. In 2010, I founded the Andalusian group FQM 396: 'Combinatorial image analysis' for which I have been responsible since then. The research line of our group is the search for tools and methods based, among others, on the recent theory of persistent homology. Following the co-direction of the 2013 International DGCI congress in Seville, I was co-editor of a volume in JCR journals DAM and CVIU and I was selected to be co-director of the TC18 committee of Int. Assoc. of Pattern Recognition. From 2011 to 2015 we had a fruitful collaboration with researchers from CENATAV (Cuba) in topological gait recognition. I have been the PI of the national projects “Topología Algebraica Computacional Aplicada a la Visión por Ordenador” and “Topología Algebraica para el Análisis Combinatorial de Imágenes” and I am currently the principal researcher of the national project “Topología Computacional y Aplicaciones” and the autonomic project “Advances in Computational topology and its relationship with neural networks.
I have consolidated collaborations with several research groups in the United States, Austria,
China, France, Italy, and Cuba, making stays through contracts with the university of destination (NCSU in the United States, TU Wien in Austria, and CRIPAC in China) publishing in high-impact journals.
In 2022, I was promoted to Full Professor with accreditation by ANECA in both the areas of Applied Mathematics and Computer Science.
Thanks to the results recently obtained in the relationship between topology and neural networks, we were granted with funding for the national project 'Topología Computacional para el ahorro de energía yla optimización de métodos de aprendizaje profundo para alcanzar soluciones verdes de Inteligencia Artificial (TED2021-129438B-I00) 'and for the EU project ‘REliable & eXplAinableSwarm Intelligence for People with Reduced mObility (REXASI-PRO) (GRANT AGREEMENTNO.101070028)’.
I have been invited as a Plenary Speaker at EACA 2022 (https://www.fue.uji.es/eaca2022) and
to give a talk at the Applied Topology Seminar (https://www.aatrn.net/seminar) and the Topological Machine Learning Seminar (https://www.ub.edu/tml_ub/) among others. I recently joined the Scientific Committee of the Spanish Topology network (https://www.red-topologia.es/).

Ponencia: 42

Artículo: 48

Capítulo: 2

Editorial: 4

TOTAL: 96

Tipo	Año	Título	Fuente
Ponencia	2024	Abandoned Object Detection Using Persistent Homology	Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications
Artículo	2024	An in-depth analysis of data reduction methods for sustainable deep learning.	Open Research Europe
Capítulo	2024	Controlling Topology Preserving Graph Pyramids	Emerging Topics in Pattern Recognition and Artificial Intelligence
Artículo	2024	Trainable and explainable simplicial map neural networks	INFORMATION SCIENCES
Capítulo	2023	El proyecto «ODS-UCUBA+UANDALUZAS. Cooperación para la implementación de la agenda 2030 en Cuba»	Universidades y Agenda 2030. La cooperación universitaria andaluza comprometida con los ODS
Ponencia	2023	Partial functions induced by morphisms between of persistence modules	EACA 2022: XVII Encuentro de Álgebra Computacional y Aplicaciones
Artículo	2023	Partial matchings induced by morphisms between persistence modules	COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS
Ponencia	2022	A step towards learning contraction kernels for irregular image pyramid	PROCEEDINGS OF THE 11TH INTERNATIONAL CONFERENCE ON PATTERN RECOGNITION APPLICATIONS AND METHODS (ICPRAM)
Artículo	2022	Characterizing slope regions	JOURNAL OF COMBINATORIAL OPTIMIZATION
Artículo	2022	Continuous well-composedness implies digital well-composedness in n-D	JOURNAL OF MATHEMATICAL IMAGING AND VISION
Artículo	2022	Emotion recognition in talking-face videos using persistent entropy and neural networks	Electronic Research Archive
Artículo	2022	Strong Euler well-composedness	JOURNAL OF COMBINATORIAL OPTIMIZATION
Artículo	2022	Topology-based representative datasets to reduce neural network training resources	NEURAL COMPUTING & APPLICATIONS
Ponencia	2021	Image = structure + few colors	Lecture Notes in Computer Science
Artículo	2021	Making Sullivan algebras minimal through chain contractions	MEDITERRANEAN JOURNAL OF MATHEMATICS
Artículo	2021	Optimizing the simplicial-map neural network architecture	Journal of Imaging
Artículo	2021	Simplicial-map neural networks robust to adversarial examples	MATHEMATICS
Ponencia	2020	A 4D Counter-Example Showing that DWCness Does Not Imply CWCness in nD	Lecture Notes in Computer Science
Artículo	2020	Approximating lower-star persistence via 2D combinatorial map simplification	Pattern Recognition Letters
Artículo	2020	Basis-independent partial matchings induced by morphisms between persistence modules	ArXiv.org
Ponencia	2020	Euler Well-Composedness	Lecture Notes in Computer Science
Artículo	2020	Neural-network-based curve fitting using totally positive rational bases	MATHEMATICS
Artículo	2020	On the stability of persistent entropy and new summary functions for topological data analysis	PATTERN RECOGNITION
Artículo	2020	Two-hidden-layer feed-forward networks are universal approximators: a constructive approach	NEURAL NETWORKS
Ponencia	2019	A topological entropy‐based approach for damage detection of civil engineering structures	CMMoST 2019: 5th International Conference on Mechanical Models in Structural Engineering
Ponencia	2019	Computing and reducing slope complexes	Lecture Notes in Computer Science
Ponencia	2019	Congratulations! Dual Graphs Are Now Orientated!	GRAPH-BASED REPRESENTATIONS IN PATTERN RECOGNITION, GBRPR 2019
Ponencia	2019	On the space between critical points	Lecture Notes in Computer Science
Ponencia	2019	One more step towards well-composedness of cell complexes over nD pictures	Lecture Notes in Computer Science
Artículo	2019	Persistent entropy for separating topological features from noise in vietoris-rips complexes	JOURNAL OF INTELLIGENT INFORMATION SYSTEMS
Ponencia	2019	Persistent homology computation using combinatorial map simplification	Lecture Notes in Computer Science
Artículo	2019	Representative Datasets: The Perceptron Case	ArXiv.org
Artículo	2019	Towards a Philological Metric through a Topological Data Analysis Approach	ArXiv.org
Ponencia	2019	Towards emotion recognition: A persistent entropy application	Lecture Notes in Computer Science
Artículo	2019	Weakly well-composed cell complexes over nD pictures	INFORMATION SCIENCES
Artículo	2018	A new entropy based summary function for topological data analysis	Electronic Notes In Discrete Mathematics
Artículo	2018	Representative datasets for neural networks	Electronic Notes In Discrete Mathematics
Artículo	2018	Topological tracking of connected components in image sequences	JOURNAL OF COMPUTER AND SYSTEM SCIENCES
Artículo	2017	A new topological entropy-based approach for measuring similarities among piecewise linear functions	SIGNAL PROCESSING
Artículo	2017	Efficiently Storing Well-Composed Polyhedral Complexes Computed Over 3D Binary Images	JOURNAL OF MATHEMATICAL IMAGING AND VISION
Ponencia	2016	Encoding specific 3D polyhedral complexes using 3D binary images	Lecture Notes in Computer Science
Ponencia	2016	Parallel Homology Computation of Meshes	COMPUTATIONAL TOPOLOGY IN IMAGE CONTEXT, CTIC 2016
Ponencia	2016	Persistent homology-based gait recognition robust to upper body variations	2016 23RD INTERNATIONAL CONFERENCE ON PATTERN RECOGNITION (ICPR)
Ponencia	2016	Separating Topological Noise from Features Using Persistent Entropy	SOFTWARE TECHNOLOGIES: APPLICATIONS AND FOUNDATIONS (STAF 2016)
Artículo	2016	Topology-based image segmentation using LBP pyramids	MACHINE VISION AND APPLICATIONS
Artículo	2015	3D well-composed polyhedral complexes	DISCRETE APPLIED MATHEMATICS
Artículo	2015	An entropy-based persistence barcode	PATTERN RECOGNITION
Ponencia	2015	LBP and Irregular Graph Pyramids	COMPUTER ANALYSIS OF IMAGES AND PATTERNS, CAIP 2015, PT II
Ponencia	2015	Spatiotemporal barcodes for image sequence analysis	Lecture Notes in Computer Science
Editorial	2015	Special Issue: Discrete Geometry for Computer Imagery Preface	DISCRETE APPLIED MATHEMATICS
Editorial	2015	Special Section: Parts & Attributes; Mid-level representation for object recognition, scene classification and object detection	COMPUTER VISION AND IMAGE UNDERSTANDING
Artículo	2014	Computing Cup Products in Z(2)-Cohomology of 3D Polyhedral Complexes	FOUNDATIONS OF COMPUTATIONAL MATHEMATICS
Ponencia	2014	Gait-based carried object detection using persistent homology	PROGRESS IN PATTERN RECOGNITION IMAGE ANALYSIS, COMPUTER VISION, AND APPLICATIONS, CIARP 2014
Ponencia	2014	Topological Features for Monitoring Human Activities at Distance	ACTIVITY MONITORING BY MULTIPLE DISTRIBUTED SENSING
Artículo	2013	An application for gait recognition using persistent homology	IMAGE-A
Ponencia	2013	Gait-based gender classification using persistent homology	Lecture Notes in Computer Science
Editorial	2013	Preface	Lecture Notes in Computer Science
Ponencia	2013	Towards minimal barcodes	Lecture Notes in Computer Science
Editorial	2012	Computational topology in image context	Pattern Recognition Letters
Ponencia	2012	Human gait identification using persistent homology	Lecture Notes in Computer Science
Ponencia	2012	Removal Operations in nD Generalized Maps for Efficient Homology Computation	COMPUTATIONAL TOPOLOGY IN IMAGE CONTEXT (CTIC)
Artículo	2011	Cubical Cohomology Ring of 3D Photographs	INTERNATIONAL JOURNAL OF IMAGING SYSTEMS AND TECHNOLOGY
Ponencia	2011	Cup Products on Polyhedral Approximations of 3D Digital Images	COMBINATORIAL IMAGE ANALYSIS
Ponencia	2011	Incremental-decremental algorithm for computing AT-models and persistent homology	COMPUTER ANALYSIS OF IMAGES AND PATTERNS: 14TH INTERNATIONAL CONFERENCE, CAIP 2011, PT I
Artículo	2011	Invariant representative cocycles of cohomology generators using irregular graph pyramids	COMPUTER VISION AND IMAGE UNDERSTANDING
Ponencia	2011	Well-composed cell complexes	DISCRETE GEOMETRY FOR COMPUTER IMAGERY
Artículo	2010	Algorithm to compute a minimal length basis of representative cocycles of cohomology generators	Image-A
Ponencia	2010	Computing cup products on the cohomology of cell complexes	EACA 2010: XII Encuentro de Álgebra Computacional y Aplicaciones = 12th Meeting on Computer Algebra and Applications : Libro de resúmenes = Book of abstracts : Santiago de Compostela, 19-21 de julio de 2010
Artículo	2010	Human gait recognition using topological information	Image-A
Artículo	2009	A tool for integer homology computation: lambda-AT-model	Image and Vision Computing
Artículo	2009	Chain homotopies for object topological representations	DISCRETE APPLIED MATHEMATICS
Ponencia	2009	Irregular Graph Pyramids and Representative Cocycles of Cohomology Generators	GRAPH-BASED REPRESENTATIONS IN PATTERN RECOGNITION, PROCEEDINGS
Ponencia	2008	Integral Operators for Computing Homology Generators at Any Dimension	PROGRESS IN PATTERN RECOGNITION, IMAGE ANALYSIS AND APPLICATIONS, PROCEEDINGS
Ponencia	2007	A graph-with-loop structure for a topological representation of 3D objects	COMPUTER ANALYSIS OF IMAGES AND PATTERNS, PROCEEDINGS
Ponencia	2007	Extending the notion of AT-model for integer homology computation	GRAPH-BASED REPRESENTATIONS IN PATTERN RECOGNITION, PROCEEDINGS
Ponencia	2007	Imágenes digitales y complejos simploidales	Avances en matemática discreta en Andalucía: V Encuentro Andaluz de Matemática Discreta, La Línea de la Concepción (Cádiz), julio de 2007
Ponencia	2007	Técnica incremental para el cálculo homológico en complejos simpliciales	Avances en matemática discreta en Andalucía: V Encuentro Andaluz de Matemática Discreta, La Línea de la Concepción (Cádiz), julio de 2007
Artículo	2006	Reusing integer homology information of binary digital images	DISCRETE GEOMETRY FOR COMPUTER IMAGERY, PROCEEDINGS
Artículo	2006	Simplicial perturbation techniques and effective homology	COMPUTER ALGEBRA IN SCIENTIFIC COMPUTING, PROCEEDINGS
Artículo	2005	Algebraic topological analysis of time-sequence of digital images	COMPUTER ALGEBRA IN SCIENFIFIC COMPUTING, PROCEEDINGS
Artículo	2005	HPT and cocyclic operations	HOMOLOGY HOMOTOPY AND APPLICATIONS
Artículo	2005	On the cohomology of 3D digital images	DISCRETE APPLIED MATHEMATICS
Artículo	2005	Simplification techniques for maps in simplicial topology	JOURNAL OF SYMBOLIC COMPUTATION
Artículo	2004	Cohomología 3D y visualización	La Gaceta De La Real Sociedad Matemática Española
Ponencia	2004	Digital Cohomology Ring: A New Tool For Topological Analisys of 3D Digital Images	XIV Congreso Español de Informática Gráfica
Artículo	2003	Computation of cohomology operations on finite simplicial complexes	HOMOLOGY HOMOTOPY AND APPLICATIONS
Artículo	2003	Towards digital cohomology	DISCRETE GEOMETRY FOR COMPUTER IMAGERY, PROCEEDINGS
Ponencia	2002	A graphical tool for understanding Cohomology	Actas del EACA 2002: Octavo Encuentro de Álgebra Computacional y Aplicaciones
Artículo	2002	Algorithms in algebraic topology and homological algebra: Problem of complexity	Journal of Mathematical Sciences
Ponencia	2001	AN EXAMPLE IN COMBINATORIAL COHOMOLOGY	Sigsam Bulletin
Ponencia	2001	El proyecto CHATA	Actas del Encuentro de Matemáticos Andaluces
Ponencia	2000	Computing "small" 1-homological models for commutative differential graded algebras	COMPUTER ALGEBRA IN SCIENTIFIC COMPUTING
Artículo	1999	A combinatorial method for computing Steenrod squares	JOURNAL OF PURE AND APPLIED ALGEBRA
Ponencia	1999	Computing cocycles on simplicial complexes	CASC'99: COMPUTER ALGEBRA IN SCIENTIFIC COMPUTING
Artículo	1998	Una curiosa combinación de topología, álgebra y combinatoria: los cuadrados de steenrod	La Gaceta De La Real Sociedad Matemática Española
Ponencia	1997	Clasificación de contracciones de DGA-álgebras	EACA 1997: III Encuentro de Álgebra Computacional y Aplicaciones: libro de actas

OPERACIONES COHOMOLÓGICAS: UN ENFOQUE COMBINATORIAL (2000)
Dirigida por: Real Jurado, Pedro

Tesis dirigidas/tutorizadas:3

Fecha lectura	Título	Rol
16/05/2023	Barcodes of Persistence Modules: from Summaries to Matchings	Tutor/a, Director/a
14/05/2021	Computational topology on neural networks: from the data to the model	Tutor/a, Director/a
17/12/2007	MODELO ÁLGEBRO-TOPOLÓGICO DE REPRESENTACIÓN DE IMAGENES DIGITALES EN nD	Director/a

Proyectos de Investigación: 9

Contratos: 3

Ayudas: 5

Sobre los datos de Financiación (proyectos de investigación, contratos, ayudas, etc.):

Solo recogemos de SICA los datos anteriores al año 2000 y no habrá más actualizaciones por el momento desde esta plataforma.
Recogemos de SISIUS los proyectos estatales, autonómicos e internacionales gestionados por la US, siempre a partir del año 2000. Ver política de inclusión en SISIUS para más información.
Proyectos externos: se está creando un procedimiento dentro de la US para recoger de forma ordenada y exhaustiva la documentación relativa a estos proyectos, que se comunicará próximamente. Esto posibilitará que se incluyan convenientemente en SISIUS y después en Prisma. Hasta entonces, no se incluyen en Prisma los proyectos externos, aunque haya alguna referencia en SISIUS.
Ayudas procedentes del Plan Propio: se va a crear un apartado específico para esta financiación. Hasta entonces, no se incluyen las ayudas del Plan Propio en Prisma.

Fecha de la última carga desde SISIUS: 28/01/2025
Cualquier duda sobre este apartado, escríbanos al correo bibliometria@us.es

Proyectos de Investigación

Fecha de inicio	Fecha de fin	Rol	Denominación	Agencia financiadora
05/10/2021	31/12/2022	Responsable	Advances in topics on computational topology and its relationship with neural networks (P20_01145)	Consejería de Economía, Conocimiento, Empresas y Universidad (Autonómico)
01/01/2016	31/12/2018	Responsable	Topología Algebraica Computacional Aplicada a la Visión por Ordenador (MTM2015-67072-P)	Ministerio de Economía y Competitividad (Nacional)
01/06/2020	30/09/2023	Responsable	Advances in Topología Computacional y Aplicaciones (PID2019-107339GB-I00)	Ministerio de Ciencia, Innovación y Universidades (Nacional)
01/12/2022	30/11/2024	Responsable	Topología Computacional para el ahorro de energía y la optimización de métodos de aprendizaje profundo para alcanzar soluciones verdes de Inteligencia Artificial (TED2021-129438B-I00)	Ministerio de Ciencia e Innovación (Nacional)
01/10/2006	30/09/2009	Investigador/a	Un nuevo modelo de representación topológico-algebraica de volumenes digitales: el modelo AT (MTM2006-03722)	Ministerio de Educación y Ciencia (Nacional)
01/10/2022	30/09/2025	Responsable	REliable & eXplAinable Swarm Intelligence for People with Reduced mObility (REXASI-PRO) (GA-101070028)	European Commission (Europeo)
13/04/2007	12/04/2010	Investigador/a	Análisis topológico de imágenes digitales nD (P06-TIC-02268)	Junta de Andalucía (Plan Andaluz de Investigación) (Autonómico)
01/01/2013	31/12/2015	Responsable	Topología Algebraica para el Análisis Combinatorial de Imágenes (MTM2012-32706)	Ministerio de Economía y Competitividad (Nacional)
01/01/2025	31/12/2027	Investigador/a	Desarrollo de herramientas matemáticas para la transferencia (Mathware) en el IMUS (PPIT2024-31596)	Universidad de Sevilla (Local)

Contratos

Fecha de inicio	Fecha de fin	Rol	Denominación	Agencia financiadora
02/07/2012	30/10/2013	Responsable	Proyecto para la Valorización del Cangrejo de río y el Diseño de Prototipos para la Optimización de sus Procesos Productivos (P047-12/E29)	Alfocan, S.A (Desconocido)
25/10/2007	22/09/2008	Investigador/a	Sistema de fusión de imágenes Pet y resonancia magnética para el diagnóstico médico (OG-153/07)	Orienta Ingeniería S.L. (Desconocido)
31/08/2024	31/12/2025	Investigador/a	CÁTEDRA DE INTELIGENCIA ARTIFICIAL US - GOOGLE (TSI-100930-2023-2)	Ministerio de Asuntos Económicos y Transformación Digital (Local)

Ayudas

Fecha de inicio	Fecha de fin	Rol	Denominación	Agencia financiadora
10/11/2010	12/11/2010	Responsable	3rd International Workshop on Computational Topology in Image Context. (PP2010-01-034)	Universidad de Sevilla (Local)
01/05/2010	15/05/2010	Responsable	Estancia. CENATAV (Centro Aplicado Tecnología Avanzada). La Habana (PP2010-05-039)	Universidad de Sevilla (Local)
20/11/2013	23/11/2013	Responsable	Ayuda para asistencia a 18th Iberoamerican Congress on Pattern Recognition, Havana (Cuba) (PP2013-1891)	Universidad de Sevilla (Local)
07/11/2011	22/11/2011	Responsable	Estancia: Fileds Institute (Toronto - Canadá), 16 días (PP2011-05-108)	Universidad de Sevilla (Local)
23/05/2011	25/05/2011	Responsable	International Workshop on Combinatorial Image Analysis. Lugar y fecha: Madrid (España), del 23 al 25 de Mayo de 2011 (PP2011-06-074)	Universidad de Sevilla (Local)

El investigador no tiene ningún resultado de investigación asociado

Rocío González Díaz

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Rocío González Díaz

Investiga en

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