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Master's Final Project
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 ...
Master's Final Project
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 ...
Master's Final Project
On the validity of the ∆I = 1 / 2 Isospin Rule and the Block–Dalitz Model in Hypernuclear Non–mesonic Weak Decay
(2020)
Abstract A study of the non–mesonic weak decay of light hypernuclei is performed on the basis of the Block–Dalitz approach which allows one to extract the elemen- tary Λ N → nN decay amplitudes and rates ...
Master's Final Project
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 ...
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 interact with each other primarily through speech, but also through body gestures to emphasize a certain ...
Master's Final Project
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 ...
Master's Final Project
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 ...
Master's Final Project
Análisis en Espacios Métricos
(2023)
En la memoria expuesta a continuación, queremos hacer una revisión de las funciones de variación acotada en distintos espacios. Comenzaremos las funciones de variación acotada en un intervalo cerrado y acotado de R. A ...
Master's Final Project
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 ...
Master's Final Project