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Recent Submissions

• Superficies nulas y agujeros negros ﻿

(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 ...

(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 ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ...