Departament de Matemàtiques i Informàtica: Recent submissions
Now showing items 21-40 of 54
Hitting probabilities for g-Gaussian processes
We develop criteria for hitting probabilities of Gaussian random fields with associated canonical metric given by a class of gauge functions. This yields upper and lower bounds in terms of general notions of Hausdorff ...
Weighted restricted weak-type extrapolation on classical Lorentz spaces
An important result in Harmonic Analysis is the extrapolation theorem of Rubio de Francia. In its original version says that if T is a sublinear operator that is bounded in Lp0 pvq, for some p0 ě 1 and every v P Ap , then ...
Lifestyle Understanding through the Analysis of Egocentric Photo-streams
Describing people’s lives has become a hot topic in several disciplines. Lifelogging appeared in the 1960s as the process of recording and tracking personal activity data generated by the daily behaviour of a person. The ...
Value-aligned norm selection
Norms have been widely enacted in both human and agent societies to regulate the actions that individuals can perform. However, although legislators may have ethics in mind when establishing norms, moral values are seldom ...
Gröbner's problem and the geometry of GT-varieties
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 ...
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 ...
Option Price Decomposition for Local and Stochastic Volatility Jump Diffusion Models
In this thesis, an option price decomposition for local and stochastic volatility jump diffusion models is studied. On the one hand, we generalise and extend the Alòs decomposition to be used in a wide variety of models ...
On Logics and Semantics for Interpretability
In the central part of this thesis we study for different interpretability logics the following aspects: completeness for modal semantics, decidability and algorithmic complexity. In particular, we will study two basic ...
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 ...
On the effect of the Sun's gravity around the Earth-Moon L1 and L2 libration points
In this thesis we explored some aspects of the dynamics around the Earth-Moon L1 and L2 points in the context of two Restricted Four Body Problems: the Bicircular Problem (BCP) and the Quasi-bicircular Problem (QBCP). Both ...
Modelling Uncertainty in Black-box Classification Systems
Currently, thanks to the Big Data boom, the excellent results obtained by deep learning models and the strong digital transformation experienced over the last years, many companies have decided to incorporate machine ...
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 ...
Statistical modelling of avalanche observables: criticality and universality
Complex systems can be understood as an entity composed by a large number of interactive elements whose emergent global behaviour cannot be derived from the local laws characterizing their constituents. The observables ...
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 ...
Recognizing Action and Activities from Egocentric Images
Egocentric action recognition consists in determining what a wearable camera user is doing from his perspective. Its defining characteristic is that the person himself is only partially visible in the images through his ...
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. ...
On the Dynamics Around the Collinear Points in the Sun-Jupiter System
This work aims the study of the Rapid Transition Mechanism that explains some properties of orbits of some spatial objects, as for instance, comet 39P/Oterma, which will be the main object of this research. Considering ...
Improving Performance and Interpretability in Recognizing Facial Action Units with Deep Neural Networks
Facial expressions are vital ways of communication between humans in social contexts. They are used as conversational markers and they convey information about affective and cognitive state. Many applications would benefit ...
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 ...
Restricted Weak Type Extrapolation of Multi-Variable Operators and Related Topics
A remarkable result in Harmonic Analysis is the so-called Rubio de Francia’s extrapolation theorem. Roughly speaking, it says that if one has an operator T that is bounded on Lp(v), for some p 1 and every weight v in Ap, ...
