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Predicción de Aristas para Data Augmentation en Problemas de Clasificación de Nodos con Graph Neural Networks
(2022-06-01)
En este trabajo, repasamos detalladamente el planteamiento de un problema de aprendizaje supervisado en general, sobre datos en forma de grafo en particular, y la construcción de la arquitectura de Graph Neural Networks ...
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Estabilidad estructural y efectos indirectos en Ecología Matemática
(2022-06-01)
In population dynamics, structural stability measures the ability of an ecosystem to maintain biodiversity under perturbations of the model. In this work, we proove new properties about this type of stability when the ...
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El problema paramétrico del emparejamiento en grafos y problema de emparejamiento con dos objetivos
(2019-06)
The minimum (maximum) matching problem is a fundamental problem in combinatorial optimization. The special structure of matching found by Edmonds allows to use different approximations. The idea of this work is to present ...
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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 interact with each other primarily through speech, but also through body gestures to emphasize a certain ...
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Algoritmos fundamentales en computación cuántica
(2019)
At any point in history, we can find examples of problems solved mechanically, but it was in the 20th century with the arrival of computers that the paradigm shifted and the concept of problem-solving changed forever. It ...
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Operadores esencialmente normales y existencia de subespacios invariantes
(2021-06-28)
A main problem of Operator Theory consists of studying which operators have an invariant subspace, or what properties they must have to possess it. In this project we will work on separable complex Hilbert spaces and we ...
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La sucesión espectral de Adams
(2022-06-21)
Without doubts, calculating homotopy groups of spheres is one of the main open problems in Algebraic Topology. After Toda and Serre’s computations, the Adams spectral sequence rose up as one of the most powerful tools ...
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Productos warped en variedades para-hermíticas y para-contacto métricas
(2019)
In this work, we use the warped product as a bridge between two different geometries: para-Hermitian geometry and para-contact metric geometry. We focus our study on slant submanifolds. Firstly, we define them in the ...
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Aspectos computacionales del Polinomio de Bernstein-Sato de una singularidad
(2021-06-02)
The Bernstein-Sato polynomial or the b-function is an important invariant in singularity theory. It is closely related to diferentials operators. This polynomial has very useful properties and applications in diferents ...
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Las trans-S-variedades y la clasificación de Gray-Hervella.
(2017-06)
Recently, trans-S manifolds have been defined as a natural generalization of f-Kenmotsu, S-manifolds and C-manifolds. This uses f-structure techniques to extend results for almost contact manifolds, where trans-Sasakian ...