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Mostrando ítems 21-30 de 51
Artículo
Making Sullivan Algebras Minimal Through Chain Contractions
(Springer, 2021)
In this note, we provide an algorithm that, starting with a Sullivan algebra gives us its minimal model. More concretely, taking as input a (nonminimal) Sullivan algebra A with an ordered finite set of generators preserving ...
Artículo
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, a silhouette sequence is obtained from a camera in a controlled environment. A border simplicial ...
Artículo
Geometric Objects and Cohomology Operations
(Cornell University, 2012)
Cohomology operations (including the cohomology ring) of a geometric object are finer algebraic invariants than the homology of it. In the literature, there exist various algorithms for computing the homology groups of ...
Artículo
Optimizing the Simplicial-Map Neural Network Architecture
(MDPI, 2021)
Simplicial-map neural networks are a recent neural network architecture induced by simplicial maps defined between simplicial complexes. It has been proved that simplicial-map neural networks are universal approximators ...
Artículo
Approximating lower-star persistence via 2D combinatorial map simplification
(Elsevier, 2020)
Filtration simplification consists of simplifying a given filtration while simultaneously controlling the perturbation in the associated persistence diagrams. In this paper, we propose a filtration simplification algorithm ...
Artículo
On the cohomology of 3D digital images
(2005)
We propose a method for computing the cohomology ring of three-dimensional (3D) digital binary-valued pictures. We obtain the cohomology ring of a 3D digital binary-valued picture I , via a simplicial complex K(I)K(I) ...
Artículo
Emotion recognition in talking-face videos using persistent entropy and neural networks
(American Institute of Mathematical Sciences (AIMS), 2022)
The automatic recognition of a person’s emotional state has become a very active research field that involves scientists specialized in different areas such as artificial intelligence, computer vi sion, or psychology, ...
Artículo
Digitization
(Springer, 2020)
Artículo
Towards a Philological Metric through a Topological Data Analysis Approach
(Cornell University, 2019)
The canon of the baroque Spanish literature has been thoroughly studied with philological techniques. The major representatives of the poetry of this epoch are Francisco de Quevedo and Luis de Góngora y Argote. They are ...
Artículo
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. In this paper, we present a method to locally “repair” the cubical complex Q(I)Q(I) (embedded in ...