Browsing by Author "González Díaz, Rocío"
Now showing items 1-20 of 111
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Article
3D well-composed polyhedral complexes
(2015)A binary three-dimensional (3D) image II is well-composed if the boundary surface of its continuous analog is a 2D manifold. ...
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Presentation
A 4D counter-example showing that DWCness does not imply CWCness in n-D
(Springer, 2020)In this paper, we prove that the two avours of well-compo- sedness called Continuous Well-Composedness (shortly CWCness), ...
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Article
A combinatorial method for computing Steenrod squares
(Elsevier, 1999)We present here a combinatorial method for computing Steenrod squares of a simplicial set X. This method is essentially ...
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Chapter of Book
A Graph-with-Loop Structure for a Topological Representation of 3D Objects
(2007)Given a cell complex K whose geometric realization |K| is embedded in R 3 and a continuous function h: |K|→R (called the ...
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Article
A new entropy based summary function for topological data analysis
(Elsevier, 2018)Topological data analysis (TDA) aims to obtain useful information from data sets using topological concepts. In particular, ...
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Article
A new topological entropy-based approach for measuring similarities among piecewise linear functions
(Elsevier, 2017)In this paper we present a novel methodology based on a topological entropy, the so-called persistent entropy, for ...
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Article
A tool for integer homology computation: lambda-AT- model
(2011)In this paper, we formalize the notion of lambda-AT-model (where λ is a non-null integer) for a given chain complex, which ...
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Presentation
A topological entropy‐based approach for damage detection of civil engineering structures
(Editorial Club Universitario, 2019)In this study, a new method based on topological entropy, the so‐called persistent entropy, is presented for addressing ...
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Chapter of Book
Algebraic topological analysis of time-sequence of digital images
(2005)This paper introduces an algebraic framework for a topological analysis of time-varying 2D digital binary–valued images, ...
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Article
Algorithm to Compute a Minimal Length Basis of Representative Cocycles of Cohomology Generators
(Universidad de Sevilla, 2010)An algorithm to compute a minimal length basis of representative cocycles of cohomology generators for 2D images is proposed. ...
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Article
Algorithms in Algebraic Topology and Homological Algebra: Problem of Complexity
(Springer, 2002)This review tackles the problem of the high computational complexity lying in most algorithms in algebraic topology and ...
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Article
An algorithm to compute minimal Sullivan algebras
(Cornell University, 2019)In this note, we give an algorithm that starting with a Sullivan algebra gives us its minimal model. This algorithm is a ...
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Article
An application for gait recognition using persistent homology
(Universidad de Sevilla, 2013)This Demo presents an application for gait recognition using persistent homology. Using a background subtraction approach, ...
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Article
An entropy-based persistence barcode
(2015)In persistent homology, the persistence barcode encodes pairs of simplices meaning birth and death of homology classes. ...
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Presentation
An example in combinatorial cohomology
(Universidad de La Rioja, 2001)Steenrod cohomology operations are algebraic tools for distinguishing non–homeomorphic topological spaces. In this paper, ...
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Article
An in-depth analysis of data reduction methods for sustainable deep learning
(F1000 Research / European Commission, 2024)In recent years, Deep Learning has gained popularity for its ability to solve complex classification tasks, increasingly ...
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Master's Final Project
Análisis Topológico de Datos y Aprendizaje Automático en la Detección De Ríos Atmosféricos
(2022-06-19)Un río atmosférico (RA) es una banda alargada y estrecha de humedad muy concentrada en la parte inferior de la troposfera ...
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Master's Final Project
Análisis topológico de datos: aplicación al reconocimiento de emociones
(2020-06-01)Emotion recognition consists of a series of processes to detect human emotions from facial human expressions. Humans ...
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Final Degree Project
Análisis topológico de las matrices de ocurrencias en la red de Bitcoin
(2023)Tras el nacimiento de Bitcoin, se ha producido una profunda transformación en los mercados digitales y la bolsa, dando ...
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Final Degree Project
Análisis y estudio del grafo de transacciones de Bitcoin
(2022)Durante los últimos años, el mundo del Bitcoin y las criptomonedas ha revolucionado por completo el concepto de pago y ...