Àrea de contingut
Universitat de Barcelona
Listando Departament de Matemàtiques i Informàtica por título
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About the connectivity of Fatou components for some families of rational maps
[eng] Rational iteration is the study of the asymptotic behaviour of the sequences given by the iterates of a rational map on the Riemann sphere. According to Montel's theory on normal families, the phase space (also called ...
Adapting by copying. Towards a sustainable machine learning
Despite the rapid growth of machine learning in the past decades, deploying automated decision making systems in practice remains a challenge for most companies. On an average day, data scientists face substantial barriers ...
Advancing 3D Point Cloud Understanding in Real-World Applications
[eng] In recent years, rapid advancements in 3D sensing technologies, such as LiDAR, have revolutionized various fields, spanning robotics, augmented reality, earth vision, and industrial manufacturing. Point clouds, ...
Aleatoric Uncertainty Modelling in Regression Problems using Deep Learning
Nowadays, we live in an intrinsically uncertain world from our perspective. We do not know what will happen in the future but, to infer it, we build the so-called models. These models are abstractions of the world we live ...
Application of Radiomics-based Machine Learning models on complex cardíac diseases
[eng] This doctoral thesis investigates the combination of radiomics and machine learning (ML) within the field of cardiology, emphasizing early detection and prognosis of complex cardiovascular diseases (CVDs). Radiomics ...
Approximate option pricing for jump-diffusion stochastic volatility models
[eng] The following is a summary of the above-mentioned thesis. The thesis covers alternative stochastic models, risk management, and option price decomposition. 1.1 Alternative Stochastic Models Several alternative ...
Automatic Cardiac Segmentation of Complex Morphologies, Modalities and Tissues
[eng] Cardiovascular diseases (CVDs) continue to take a significant toll on global health, highlighting the need for more accurate and efficient diagnostic tools. This thesis, titled "Automatic Cardiac Segmentation of ...
Blow-up algebras in Algebra, Geometry and Combinatorics
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 ...
Boosting the Artificial Intelligence solutions training phase by means of process simulation methods
[eng] Despite the emergence of Industry 4.0 and the rise of a data-driven manufacturing paradigm, the acquisition of valuable data in a cost-efficient and sustainable manner for manufacturing processes remains a challenge ...
Bridging Natural Language and Hierarchical Multivariate Data Visualisation to Support Data Analysis
[eng] Tracking and analysing the vast amounts of data generated from social networks and digital platforms presents important challenges, not only due to the overwhelming volume but also the complex relationships embedded ...
Carotid Artery Ultrasound Image-Based Cardiovascular Risk Prediction using Deep Learning
[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
[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
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
[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
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
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
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 Learning Approaches for Human Activity Understanding
[eng] Understanding human activities is crucial for developing practical applications that benefit society. Temporal action localization (TAL) in untrimmed videos is one of the most challenging tasks in this field. While ...
Deep Multimodal Learning for Egocentric Storytelling and Food Analysis
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
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 ...
