Blow-up algebras in Algebra, Geometry and Combinatorics 

    Cid Ruiz, Yairon (Fecha de defensa: 2019-06-26)

    The primary topic of this thesis lies at the crossroads of Commutative Algebra and its interactions with Algebraic Geometry and Combinatorics. It is mainly focused around the following themes: I Defining equations ...

    Carotid Artery Ultrasound Image-Based Cardiovascular Risk Prediction using Deep Learning 

    Vila Muñoz, Maria del Mar (Fecha de defensa: 2024-05-03)

    [eng] Cardiovascular Diseases (CVDs), the leading cause of death in developed countries, often involve atherosclerosis, which is a chronic inflammatory thickening of the inner artery layer. Monitoring atherosclerotic plaque ...

    Characterization and Mitigation of Algorithmic Bias in Recommender Systems 

    Gómez Yepes, Elizabeth (Fecha de defensa: 2024-12-17)

    [eng] Recommender Systems are critical in helping users navigate large amounts of information by providing personalized suggestions. However, these systems can exhibit biases, especially when data imbalances exist, leading ...

    Chern degree functions and Prym semicanonical pencils 

    Rojas, Andrés (Fecha de defensa: 2021-11-26)

    Abelian varieties are projective algebraic varieties endowed with a group structure. They constitute one of the most explored objects in Algebraic Geometry throughout the last decades. On the one hand, abelian varieties ...

    Congested Optimal Transport in the Heisenberg Group 

    Circelli, Michele (Fecha de defensa: 2024-07-03)

    [eng] In this thesis we adapted the problem of continuous congested optimal transport to the Heisenberg group, equipped with a sub-Riemannian metric: we restricted the set of admissible paths to the horizontal curves. We ...

    Contributions to stochastic analysis 

    Binotto, Giulia (Fecha de defensa: 2018-04-13)

    The aim of this dissertation is to present some new results on stochastic analysis. It consists on three works that deal with two Gaussian processes: the Brownian motion and the fractional Brownian motion with Hurst parameter ...

    Contributions to the theory of Large Cardinals through the method of Forcing 

    Poveda Ruzafa, Alejandro (Fecha de defensa: 2020-11-09)

    The present dissertation is a contribution to the field of Mathematical Logic and, more particularly, to the subfield of Set Theory. Within Set theory, we are mainly concerned with the interactions between the largecardinal ...

    Deep Learning and Uncertainty Modeling in Visual Food Analysis 

    Aguilar, Eduardo (Fecha de defensa: 2020-09-23)

    Several computer vision approaches have been proposed for tackling food analysis problems, due to the challenging problem it poses, the ease collection of food images, and its numerous applications to health and leisure. ...

    Deep Multimodal Learning for Egocentric Storytelling and Food Analysis 

    Bolaños Solà, Marc (Fecha de defensa: 2021-04-09)

    The world of Machine Learning and Computer Vision has experienced a revolution since the last years. The appearance of Deep Learning algorithms and Convolutional Neural Networks, altogether with the increased processing ...

    Effective methods for recurrence solutions in delay differential equations 

    Gimeno i Alquézar, Joan (Fecha de defensa: 2020-01-08)

    This thesis deals with the jet transport for numerical integrators and the effective invariant object computation of delay differential equations. Firstly we study how automatic differentiation (AD) affects when ...

    Efficient and convergent natural gradient based optimization algorithms for machine learning 

    Sánchez López, Borja (Fecha de defensa: 2022-11-22)

    [eng] Many times machine learning is casted as an optimization problem. This is the case when an objective function assesses the success of an agent in a certain task and hence, learning is accomplished by optimizing that ...

    End-to-End AI Solutions for Capsule Endoscopy: Enhancing Efficiency and Accuracy in Gastrointestinal Diagnostics 

    Gilabert Roca, Pere (Fecha de defensa: 2025-01-22)

    [eng] Artificial Intelligence (AI) models are fundamentally transforming the way clinicians carry out their daily tasks. By streamlining various processes, AI offers a more robust and consistent method for reviewing ...

    Evolutionary Bags of Space-Time Features for Human Analysis 

    Ponce López, Víctor (Fecha de defensa: 2016-06-02)

    The representation (or feature) learning has been an emerging concept in the last years, since it collects a set of techniques that are present in any theoretical or practical methodology referring to artificial intelligence. ...

    Finite groups acting on smooth and symplectic 4-manifolds 

    Sáez Calvo, Carles (Fecha de defensa: 2019-07-22)

    En esta tesis se estudian problemas relacionados con acciones de grupos finitos en 4-variedades diferenciables y simplécticas. Se prueba que toda 4-variedad diferenciable cerrada X admite una constante C>0 tal que cualquier ...

    Function and Operator Theory on Large Bergman spaces 

    Arroussi, Hicham (Fecha de defensa: 2016-05-06)

    The theory of Bergman spaces has been a central subject of study in complex analysis during the past decades. The book [7] by S. Bergman contains the first systematic treat-ment of the Hilbert space of square integrable ...

    Gaze Estimation with Spatiotemporal and Multimodal Deep Learning 

    Palmero Cantariño, Cristina (Fecha de defensa: 2024-01-22)

    [eng] lt is often said that the eyes are the window to the soul. The eyes and their behavior have sparked interest for centuries, and have been widely studied due to their link with multiple developmental, neurological, ...

    Geometric realizations using regular subdivisions: Construction of many polytopes, sweep polytopes, s-permutahedra 

    Philippe, Eva (Fecha de defensa: 2024-06-07)

    [eng] This thesis concerns three problems of geometric realizations of combinatorial structures via polytopes and polyhedral subdivisions. A polytope is the convex hull of a finite set of points in a Euclidean space Rd. ...

    Gorenstein colength of local Artin k-algebras 

    Homs Pons, Roser (Fecha de defensa: 2019-07-24)

    En esta tesis abordamos el problema de la aproximación de anillos locales por anillos de Gorenstein en el caso cero-dimensional. Nos centramos en el estudio y el cálculo efectivo de la colongitud de Gorenstein, una noción ...

    Gröbner's problem and the geometry of GT-varieties 

    Colarte Gómez, Liena (Fecha de defensa: 2021-07-20)

    Within the framework of algebraic geometry and commutative algebra, this thesis makes advances in (1) the Gröbner's longstanding problem of determining whether a monomial projection of the Veronese variety Vn,d is an aCM ...

    Hankel operators on vector-valued Bergman spaces 

    Oliver Vendrell, Roc (Fecha de defensa: 2017-09-14)

    The main goal of this work is to study vector-valued Bergman spaces and to obtain the weak factorization of these spaces. In order to do that we need to study small Hankel operators with operator-valued holomorphic symbols. ...