Clustering compositional data trajectories

Our essay aims at studying suitable statistical methods for the clustering of compositional data in situations where observations are constituted by trajectories of compositional data, that is, by sequences of composition measurements along a domain. Observed trajectories are known as “functional data” and several methods have been proposed for their analysis. In particular, methods for clustering functional data, known as Functional Cluster Analysis (FCA), have been applied by practitioners and scientists in many fields. To our knowledge, FCA techniques have not been extended to cope with the problem of clustering compositional data trajectories. In order to extend FCA techniques to the analysis of compositional data, FCA clustering techniques have to be adapted by using a suitable compositional algebra. The present work centres on the following question: given a sample of compositional data trajectories, how can we formulate a segmentation procedure giving homogeneous classes? To address this problem we follow the steps described below. First of all we adapt the well-known spline smoothing techniques in order to cope with the smoothing of compositional data trajectories. In fact, an observed curve can be thought of as the sum of a smooth part plus some noise due to measurement errors. Spline smoothing techniques are used to isolate the smooth part of the trajectory: clustering algorithms are then applied to these smooth curves. The second step consists in building suitable metrics for measuring the dissimilarity between trajectories: we propose a metric that accounts for difference in both shape and level, and a metric accounting for differences in shape only. A simulation study is performed in order to evaluate the proposed methodologies, using both hierarchical and partitional clustering algorithm. The quality of the obtained results is assessed by means of several indices

Policy gradient based Reinforcement Learning for real autonomous underwater cable tracking

This paper proposes a field application of a high-level reinforcement learning (RL) control system for solving the action selection problem of an autonomous robot in cable tracking task. The learning system is characterized by using a direct policy search method for learning the internal state/action mapping. Policy only algorithms may suffer from long convergence times when dealing with real robotics. In order to speed up the process, the learning phase has been carried out in a simulated environment and, in a second step, the policy has been transferred and tested successfully on a real robot. Future steps plan to continue the learning process on-line while on the real robot while performing the mentioned task. We demonstrate its feasibility with real experiments on the underwater robot ICTINEU AUV

Integrated management of urban wastewater systems: a model-based approach

The main objective pursued in this thesis targets the development and systematization of a methodology that allows addressing management problems in the dynamic operation of Urban Wastewater Systems. The proposed methodology will suggest operational strategies that can improve the overall performance of the system under certain problematic situations through a model-based approach. The proposed methodology has three main steps: The first step includes the characterization and modeling of the case-study, the definition of scenarios, the evaluation criteria and the operational settings that can be manipulated to improve the system’s performance. In the second step, Monte Carlo simulations are launched to evaluate how the system performs for a wide range of operational settings combinations, and a global sensitivity analysis is conducted to rank the most influential operational settings. Finally, the third step consists on a screening methodology applying a multi-criteria analysis to select the best combinations of operational settings.

Treatment of mature urban landfill leachates by anammox process

This thesis results from the collaborative projects between the LEQUIA-UdG group and Cespa (a company in charge of several landfill sites in Spain). The aim of the work was the development of a suitable alternative treatment for nitrogen removal from mature landfill leachates. The thesis presents the application of the anammox (anaerobic ammonium oxidation process) process to treat ammonium rich leachates as the second step of the PANAMMOX® process. The work deals with preliminary studies about the characteristics of the anammox process in a SBR, with special focus on the response of the biomass to nitrite exposure. The application of the anammox process with leachate was first studied in a lab-scale reactor, to test the effect of the leachate matrix on anammox biomass and its progressive adaptation. Finally, a start-up strategy is developed and applied for the successful start-up of a 400L anammox SBR in less than 6 months.

Preparació de nous catalitzadors basats en complexos de Ru i Pd, i el seu ancorament a polímers conductors per a la fabricació de materials multifuncionals

Aquesta tesi doctoral es basa en l'estudi de l'aplicació en catàlisi de dos tipus de complexos organometallics basats en dos metalls de tansició diferents. Concretament s'estudien complexos macrocíclics triolefínics de pal·ladi(0) com a catalitzadors per a les reaccions de Suzuki i Heck, i oxocomplexos carbènics de ruteni(II) com a espècies catalítiques en oxidacions de compostos orgànics. En el cas dels complexos de ruteni s'ha vist que en augmentar el nombre de lligands carbènics en l'esfera de coordinació del metall s'aconseguiex afavorir els processos bielectrònics, obtenint-se catalitzadors més actius i més selectius. En un segon pas, els dos tipus de catalitzadors homogenis s'han immobilitzat sobre la superfície d'un elèctrode mitjançant l'estratègia d'electropolimerització del grup pirrol. Els elèctodes modificats resultants s'han aplicat com a catalitzadors heterogenis. En ambdós casos els catalitzadors heterogenis han mostrat una activitat equiparable o superior a la del sistema homogeni corresponent. Finalment, s'ha assajat una reacció de catàlisi tàndem en què els dos catalitzadors (immobilitzats sobre el mateix elèctrode) actuen en cooperació. S'ha aconseguit realitzar dues transformacions consecutives d'un substat orgànic.