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Recent Submissions

  • Superficies nulas y agujeros negros 

    Mancebo Sevilla, Antonio (Universitat Politècnica de Catalunya, 2019-10)
    Bachelor thesis
    Open Access
    El objetivo de este proyecto es ser capaces de entender y analizar las propiedades de los agujeros negros. Para ello, el estudio de hipersuperficies nulas de mano de la geometría semi-riemanniana es necesario. Una ...
  • La funció conjugada i la transformada de Hilbert 

    Torres Latorre, Damià (Universitat Politècnica de Catalunya, 2019-05-31)
    Bachelor thesis
    Open Access
    La transformada de Hilbert, tant en el cas periòdic, anomenat també funció conjugada, com per funcions definides a la recta, constitueixen un dels operadors més important en l'anàlisi harmònica. La seva acotació en espais ...
  • Universal intervals in the homomorphism order of digraphs 

    Oviedo Timoneda, Pablo (Universitat Politècnica de Catalunya, 2019-05-31)
    Bachelor thesis
    Open Access
    Covenantee:  Univerzita Karlova. Department of Applied Mathematics
    In this thesis we solve some open problems related to the homomorphism order of digraphs. We begin by introducing the basic concepts of graphs and homomorphisms and studying some properties of the homomorphism order of ...
  • Design of an expanding cosmological background for the moving punctures approach to numerical relativity 

    Manyer Fuertes, Jordi (Universitat Politècnica de Catalunya, 2019-05-31)
    Bachelor thesis
    Open Access
    Covenantee:  Center for Relativistic Astrophysics
    Gravitational waves astronomy is a new field ushered in by the first detection of a par of merging black holes. Numerical relativity is the only tool capable of solving Einstein’s equations for the the dynamics and resulting ...
  • Games in Machine Learning: Differentiable n-Player Games and Structured Planning 

    Domingo Enrich, Carles (Universitat Politècnica de Catalunya, 2019-05-30)
    Bachelor thesis
    Open Access
    Covenantee:  Courant Institute of Mathematical Sciences
    L'objectiu de l'estada és ampliar les capacitats actuals dels models d'exploració en entorns amb estructura aritmètica i geomètrica. L'estudiant serà exposat a l'avantguarda de la recerca en les àrees de deep learning i ...
  • Work distributions on quantum fields 

    Ortega González, Álvaro (Universitat Politècnica de Catalunya, 2019-05-31)
    Bachelor thesis
    Open Access
    Covenantee:  Institute for Quantum Computing
    We study the work cost of processes in quantum fields without the need of projective measurements, which are always ill-defined in quantum field theory. Inspired by interferometry schemes, we propose a work distribution ...
  • Scheme of pairs of matrices with vanishing commutator 

    Llopis Vidal, Bartomeu (Universitat Politècnica de Catalunya, 2019-05-27)
    Bachelor thesis
    Open Access
    Covenantee:  Katholieke Universiteit te Leuven
    Let $X$ be smooth projective curve of genus $g$. Let $R(g,n)$ be $Hom(\pi_1(X),GL_n(C)$ with the natural affine scheme structure. If $g>1$, it is known that the representation space $R(g,n)$ is an irreducible reduced normal ...
  • Learning graphs from data and spectral clustering with applications to finance 

    Gallegos Saliner, Josep Maria (Universitat Politècnica de Catalunya, 2019-05-27)
    Bachelor thesis
    Open Access
    Covenantee:  Hong Kong University of Science and Technology. Departament of Electronic and Computer Engineering
    In this bachelor's thesis we give a survey of methods to learn meaningful graphs from time series and study different spectral clustering algorithms. Finally, as a practical application, we use these algorithms to study ...
  • Echo State Networks: implementation and applications 

    Martínez Sánchez, Alejandro (Universitat Politècnica de Catalunya, 2019-05-27)
    Bachelor thesis
    Open Access
    Covenantee:  Hong Kong University of Science and Technology
    Echo State Networks are a model used for supervised learning since the 2000s. This paper presents a theoretical analysis of the equations and behavior of Echo State Networks, a series of replicated experiments, the ...
  • Consistency on the Vertices, Edges and Mask: A Semi-Supervised Learning Approach for Image Segmentation 

    Fortuny Profitós, Jordi (Universitat Politècnica de Catalunya, 2019-04-26)
    Bachelor thesis
    Open Access
    Covenantee:  University of Toronto. Vector Institute
    In this thesis, we present a novel method for performing image segmentation in a semi-supervised approach, which we consider to be particularly relevant because of the substantial cost of obtaining pixel-wise annotations ...
  • CM elliptic curves and the Coates-Wiles Theorem 

    Roset Julià, Martí (Universitat Politècnica de Catalunya, 2019-02-19)
    Bachelor thesis
    Open Access
    Covenantee:  Princeton University
    This project will take place in the field of elliptic curves and more precisely it will focus on the study of a particular instance of a known case of the Birch and Swinnerton-Dyer Conjecture (BSD Conjecture). This case ...
  • Monocular 3D mesh prediction for cars in autonomous driving scenarios 

    Guisado Bandrés, Eric (Universitat Politècnica de Catalunya, 2019-04-26)
    Bachelor thesis
    Open Access
    Covenantee:  University of Toronto. Vector Institute
    In the context of autonomous driving cars, a necessity for precise 3D reconstructions of the road and environment is every day more explicit. The present work aims to expose an approach for reconstructing vehicles from a ...

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