Evolutionary design of nearest prototype classifiers

In pattern classification problems, many works have been carried out with the aim of designing good classifiers from different perspectives. These works achieve very good results in many domains. However, in general they are very dependent on some crucial parameters involved in the design. These parameters have to be found by a trial and error process or by some automatic methods, like heuristic search and genetic algorithms, that strongly decrease the performance of the method. For instance, in nearest prototype approaches, main parameters are the number of prototypes to use, the initial set, and a smoothing parameter. In this work, an evolutionary approach based on Nearest Prototype Classifier (ENPC) is introduced where no parameters are involved, thus overcoming all the problems that classical methods have in tuning and searching for the appropiate values. The algorithm is based on the evolution of a set of prototypes that can execute several operators in order to increase their quality in a local sense, and with a high classification accuracy emerging for the whole classifier. This new approach has been tested using four different classical domains, including such artificial distributions as spiral and uniform distibuted data sets, the Iris Data Set and an application domain about diabetes. In all the cases, the experiments show successfull results, not only in the classification accuracy, but also in the number and distribution of the prototypes achieved.Publicad

Local feature weighting in nearest prototype classification

The distance metric is the corner stone of nearest neighbor (NN)-based methods, and therefore, of nearest prototype (NP) algorithms. That is because they classify depending on the similarity of the data. When the data is characterized by a set of features which may contribute to the classification task in different levels, feature weighting or selection is required, sometimes in a local sense. However, local weighting is typically restricted to NN approaches. In this paper, we introduce local feature weighting (LFW) in NP classification. LFW provides each prototype its own weight vector, opposite to typical global weighting methods found in the NP literature, where all the prototypes share the same one. Providing each prototype its own weight vector has a novel effect in the borders of the Voronoi regions generated: They become nonlinear. We have integrated LFW with a previously developed evolutionary nearest prototype classifier (ENPC). The experiments performed both in artificial and real data sets demonstrate that the resulting algorithm that we call LFW in nearest prototype classification (LFW-NPC) avoids overfitting on training data in domains where the features may have different contribution to the classification task in different areas of the feature space. This generalization capability is also reflected in automatically obtaining an accurate and reduced set of prototypes.Publicad

Modelling of last hypothesis of climate change impacts on water resources in Sierra de las Cabras aquifer (Southern Spain)

Having models that reflect the reality of a system operation becomes critical to the effec-tive management of water resources in a watershed, especially considering the different scenes of climate change predicted for the Mediterranean regions by the Intergovernmen-tal Panel on Climate Change (IPCC). The fifth Assessment Report of IPCC (AR5) esti-mates an increase in average temperatures and a precipitation decrease between 10 and 20% for Mediterranean region which could generate drought events in the study area. The present research tries to determinate the potential impacts that climate change may have on water resources. The Sacramento model has been used to model the water resources of an inertial aquifer, Sierra de las Cabras. In turn, IPCC forecasts of climate change for the study area (Mediterranean region) have been simulated taking into account the degree as-sessing of affection to the water resources opposite to eventual episodes of drought, and the social and environmental implications that will result have been also determined.Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech

Quantum Dynamics on the Worldvolume from Classical su(n) Cohomology

A key symmetry of classical $p$-branes is invariance under worldvolume diffeomorphisms. Under the assumption that the worldvolume, at fixed values of the time, is a compact, quantisable K\"ahler manifold, we prove that the Lie algebra of volume-preserving diffeomorphisms of the worldvolume can be approximated by $su(n)$, for $n\to\infty$. We also prove, under the same assumptions regarding the worldvolume at fixed time, that classical Nambu brackets on the worldvolume are quantised by the multibrackets corresponding to cocycles in the cohomology of the Lie algebra $su(n)$.Comment: This is a contribution to the Special Issue on Deformation Quantization, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA

Implementación de una plataforma para tests de inyección de fallos mediante electromagnetismo contra SoCs basados en RISC-V

Trabajo de Fin de Grado en Ingeniería Informática, Facultad de Informática UCM, Departamento de Arquitectura de Computadores y Automática, Curso 2021/2022.The market of microcontrollers, CPUs, desktop and server computers has seen both numerous milestones achieved and new challenges arise in the last decade. With the RISCV ISA being introduced in 2010, a new set of possibilities and freedoms was unlocked. However, the overall necessity for security and resilient computers has increased, not only for consumer grade devices, but also for every other field. Hardware is oftentimes one of the most forgotten attack surfaces, due to several reasons like lack of ease-of-access, or the cost of research. In this document, we ask the question: “how well does the RISC-V architecture stand against physical harms?”. We also develop a novel device capable of doing Electromagnetic Fault Injection attacks while being a very affordable solution to build.El mercado de los microcontroladores, CPUs, ordenadores de escritorio y servidores ha alcanzado nuevas cotas y superado numerosos retos técnicos durante la última década. Con la aparición del conjunto de instrucciones RISC-V en 2010, llegó un nuevo mundo de posibilidades y libertades. Sin embargo, la necesidad creciente de ordenadores seguros y confiables también ha aumentado, tanto de cara al consumidor, como en otras partes de la industria. En numerosas ocasiones, los componentes hardware son los grandes olvidados a la hora de evaluar la seguridad de un sistema, debido a razones tales como la dificultad de acceder o manipular estos componentes, o el coste prohibitivo que conlleva modificar e investigar dichas partes. En este trabajo, se plantea la pregunta: «¿Cómo de bien resiste la arquitectura RISC-V frente a peligros físicos?». Para evaluar posibles respuestas, se desarrolla un dispositivo nóvel capaz de llevar a cabo ataques de inyección de fallos mediante electromagnetismo, con énfasis en obtener un dispositivo cuya fabricación sea asequible.Depto. de Arquitectura de Computadores y AutomáticaFac. de InformáticaTRUEunpu

The Invariant Two-Parameter Function of Algebras ψ

At present, the research on invariant functions for algebras is very extended since Hrivnák and Novotný defined in 2007 the invariant functions y and j as a tool to study the Inönü–Wigner contractions (IW-contractions), previously introduced by those authors in 1953. In this paper, we introduce a new invariant two-parameter function of algebras, which we call ¯y, as a tool which makes easier the computations and allows researchers to deal with contractions of algebras. Our study of this new function is mainly focused in Malcev algebras of the type Lie, although it can also be used with any other types of algebras. The main goal of the paper is to prove, by means of this function, that the five-dimensional classical-mechanical model built upon certain types of five-dimensional Lie algebras cannot be obtained as a limit process of a quantum-mechanical model based on a fifth Heisenberg algebra. As an example of other applications of the new function obtained, its computation in the case of the Lie algebra induced by the Lorentz group SO(3, 1) is shown and some open physical problems related to contractions are also formulated.Ministerio de Ciencia e Innovación MTM2013-40455-PMinisterio de Ciencia e Innovación FQM-326 (J.N.-V.)Junta de Andalucía FQM-160 (P.P.-F.

Reflexiones sobre Job. En torno al problema del mal, el sufrimiento del justo y la Teodicea

El Libro de Job constituye un documento privilegiado para pensar el problema del sufrimiento del justo y el dolor del inocente en relación con el problema más general de la justificación de Dios ante la existencia del mal, que es el tema central de la Teodicea. ¿Por qué ha de sufrir el justo? En el presente texto, más que intentar dar respuesta a esta pregunta, intentamos mostrar cómo, en la interpelación de Job a su Dios, un occidental puede reconocer insospechadamente la especificidad misma de su concepción de la moral, puede identificar las condiciones bajo las cuales lo moral es pensado en Occidente. Se pretende poner de manifiesto las razones por las que la actitud de Job ante el Todopoderoso resulta ejemplar para Occidente. Y, de paso, se pretende igualmente mostrar cómo el Libro de Job contribuye a destacar la diferencia esencial entre el espíritu medio-oriental del judaísmo y el occidental greco-cristiano. La intención del texto es, en definitiva, llamar la atención sobre el aspecto del episodio de Job por el que éste, como Sócrates o Jesús, escapa a la voracidad de la historia y deviene para siempre un contemporáneo.The book of Job constitutes a privileged document to think the problem that arises from the suffering inflicted by God upon the righteous man and the grief that He lays upon the innocent, as related with the more general problem of God’s justification in view of existence of evil, which makes up the subject-matter of theodicy. Why should an upright man be put to suffering? Rather than an endeavour to answer this question, what is to be found in this text is an attempt to show how, in Job’s asking his God, the Western man can unexpectedly recognize the selfsame quiddity of his concpetion of morals, as well as identify the conditions under which moral thought is achieved in the West. What is aimed at, is to put forth the reasons why Job’s attitude towards the Almighty becomes exemplary for the West. A bypurpose is also that of showing to what extent the Book of Job helps to emphasize the essential difference between two kinds of mind, that of the Middle-East Judaism, and that of the Western Greek-Christian tradition. The text attempts lastly to draw attention on a feature that enables Job, like Socrates and Jesus, to escape History’s voracity and become our contemporary for ever

Interpolation of the Measure of Non Compactness between Quasi-Banach Spaces

We study the behavior of the ball measure of non-compactness under several interpolation methods. First we deal with methods that interpolate couples of spaces, and then we proceed to extend the results to methods that interpolate finite families of spaces. We will need an approximation hypothesis on the target family of spaces.We study the behavior of the ball measure of non-compactness under several interpolation methods. First we deal with methods that interpolate couples of spaces, and then we proceed to extend the results to methods that interpolate finite families of spaces. We will need an approximation hypothesis on the target family of spaces