Gaussian estimates for the density of the non-linear stochastic heat equation in any space dimension

In this paper, we establish lower and upper Gaussian bounds for the probability density of the mild solution to the stochastic heat equation with multiplicative noise and in any space dimension. The driving perturbation is a Gaussian noise which is white in time with some spatially homogeneous covariance. These estimates are obtained using tools of the Malliavin calculus. The most challenging part is the lower bound, which is obtained by adapting a general method developed by Kohatsu-Higa to the underlying spatially homogeneous Gaussian setting. Both lower and upper estimates have the same form: a Gaussian density with a variance which is equal to that of the mild solution of the corresponding linear equation with additive noise.

Linear Aggregation In The Social Accounting Matrix Framework

In economic literature, information deficiencies and computational complexities have traditionally been solved through the aggregation of agents and institutions. In inputoutput modelling, researchers have been interested in the aggregation problem since the beginning of 1950s. Extending the conventional input-output aggregation approach to the social accounting matrix (SAM) models may help to identify the effects caused by the information problems and data deficiencies that usually appear in the SAM framework. This paper develops the theory of aggregation and applies it to the social accounting matrix model of multipliers. First, we define the concept of linear aggregation in a SAM database context. Second, we define the aggregated partitioned matrices of multipliers which are characteristic of the SAM approach. Third, we extend the analysis to other related concepts, such as aggregation bias and consistency in aggregation. Finally, we provide an illustrative example that shows the effects of aggregating a social accounting matrix model.

A linear optimization technique for graph pebbling

Graph pebbling is a network model for studying whether or not a given supply of discrete pebbles can satisfy a given demand via pebbling moves. A pebbling move across an edge of a graph takes two pebbles from one endpoint and places one pebble at the other endpoint; the other pebble is lost in transit as a toll. It has been shown that deciding whether a supply can meet a demand on a graph is NP-complete. The pebbling number of a graph is the smallest t such that every supply of t pebbles can satisfy every demand of one pebble. Deciding if the pebbling number is at most k is NP 2 -complete. In this paper we develop a tool, called theWeight Function Lemma, for computing upper bounds and sometimes exact values for pebbling numbers with the assistance of linear optimization. With this tool we are able to calculate the pebbling numbers of much larger graphs than in previous algorithms, and much more quickly as well. We also obtain results for many families of graphs, in many cases by hand, with much simpler and remarkably shorter proofs than given in previously existing arguments (certificates typically of size at most the number of vertices times the maximum degree), especially for highly symmetric graphs. Here we apply theWeight Function Lemma to several specific graphs, including the Petersen, Lemke, 4th weak Bruhat, Lemke squared, and two random graphs, as well as to a number of infinite families of graphs, such as trees, cycles, graph powers of cycles, cubes, and some generalized Petersen and Coxeter graphs. This partly answers a question of Pachter, et al., by computing the pebbling exponent of cycles to within an asymptotically small range. It is conceivable that this method yields an approximation algorithm for graph pebbling.

Relaxation methods for solving linear inequality systems: Converging results

The problem of finding a feasible solution to a linear inequality system arises in numerous contexts. In [12] an algorithm, called extended relaxation method, that solves the feasibility problem, has been proposed by the authors. Convergence of the algorithm has been proven. In this paper, we onsider a class of extended relaxation methods depending on a parameter and prove their convergence. Numerical experiments have been provided, as well.

Fiebre neutropénica en el paciente hematológico: características y aplicación del índice MASC”

La febre neutropènica (FN) en el pacient hematològic és una complicació freqüent i potencialment mortal. Els objectius principals d’aquest estudi són descriure les característiques dels pacients i els episodis de FN i estudiar els possibles factors de risc de mortalitat, entre ells l’escala MASC. Es van incloure prospectivament 129 episodis consecutius de FN en 88 pacients hematològics. Tenint en compte l’escala MASC i altres factors es va disenyar una estratègia per determinar els pacients que van ser tractats ambulatòriament. No es va detectar cap event advers en els pacients tractats ambulatòriament (n=26). En l’anàlsi multivariat, l’únic factor de risc per una menor SG als 30 dies va ser la xifra de creatinina (HR 2.3 [95%CI 1.5-3.5], p&0.001).

Prevalencia de enfermedad arterial periférica en pacientes hipertensos de la población de Paterna mayores de 15 años mediante determinación del índice tobillo-brazo.

Objectius: Conèixer la prevalença de malaltia arterial perifèrica en malalts hipertensos. Material y Métodes. Estudi descriptiu transversal en una mostra de 300 persones hipertenses majors de 15 anys obtingudes al atzar, ateses al centre de Salut de Paterna. Resultats. La prevalença fou d´un 16,7% determinada per un IMB patològic (&0.90). En l´anàlisi multifactorial sols va resultar significativa la variable sexe odds ratio (OR = 2,43) Conclusions. Es necesari prendre conciència de la importància de la MAP per la seua forta capacitat predictora de mal pronòstic a curt-mitjà termini. El IMB es una eina útil, senzilla i barata.

A subspace correction method for discontinuous Galerkin discretizations of linear elasticity equations

We study preconditioning techniques for discontinuous Galerkin discretizations of isotropic linear elasticity problems in primal (displacement) formulation. We propose subspace correction methods based on a splitting of the vector valued piecewise linear discontinuous finite element space, that are optimal with respect to the mesh size and the Lamé parameters. The pure displacement, the mixed and the traction free problems are discussed in detail. We present a convergence analysis of the proposed preconditioners and include numerical examples that validate the theory and assess the performance of the preconditioners.

Utilidad del Cálculo del Índice tobillo-brazo en pacientes no diabéticos con factores de riesgo cardiovascular en la identificación de pacientes de alto riesgo; Concordancia con tablas de riesgo cardiovascular (REGICOR y SCORE)

L’objectiu de l’estudi va ser la determinació de la prevalença de malaltia arterial perifèrica mitjançant el càlcul de l'Índex turmell-braç (ITB) en pacients sense malaltia vascular associada, no diabètics, amb 2 o més factors de risc cardiovascular (RCV); Determinant la seva concordança amb les taules de RCV de REGICOR i SCORE i veure quina d’elles classifica millor a aquests pacients. Es va seleccionar una mostra aleatòria de pacients entre 50 i 65 anys. El resultat de l’estudi demostra que la prevalença és baixa i no s’estableix concordança entre les taules de RCV de REGICOR i SCORE i el càlcul del ITB.

Local Distance-Based Generalized Linear Models using the dbstats package for R

This paper introduces local distance-based generalized linear models. These models extend (weighted) distance-based linear models firstly with the generalized linear model concept, then by localizing. Distances between individuals are the only predictor information needed to fit these models. Therefore they are applicable to mixed (qualitative and quantitative) explanatory variables or when the regressor is of functional type. Models can be fitted and analysed with the R package dbstats, which implements several distancebased prediction methods.

Evolución del índice espacial para la extensión JASPA sobre H2

El presente documento describe los trabajos realizados en el ámbito del Proyecto Fin de Carrera de la titulación de Ingeniería Informática de la Universitat Oberta de Catalunya para la creación de un nuevo índice espacial para la extensión JASPA sobre H2. En él se detallan el análisis y desarrollo realizados así como la documentación generada durante su proceso de creación.

Desarrollo de un índice espacial para la extensión JASPA sobre H2

El presente trabajo tiene por objetivo ofrecer una solución para la creación de un índice espacial para la extensión JASPA (Java SPAtial) sobre la base de datos H2. El algoritmo de indexación elegido para la implementación del índice espacial ha sido el Rtree.La implementación se ha realizado con el lenguaje de programación Java lo que ha facilitado su integración con la extensión JASPA y la base de datos H2, dado que ambos proyectos están codificados en el mismo lenguaje. El índice es persistente en memoria secundaria en una tabla de la propia base de datos H2.La solución que se propone está limitada a operaciones espaciales en dos dimensiones y es lo suficientemente flexible como para que no se haya necesitado modificar ni el código fuente de JASPA, ni de H2. Además, se ha previsto que el algoritmo de indexación se pueda mejorar o sustituir fácilmente.Por último, se ha tenido en cuenta que el proceso de creación y manipulación de los índices espaciales sea intuitivo y fácil de usar.

Convex linear combination processes for compositions

Aitchison and Bacon-Shone (1999) considered convex linear combinations ofcompositions. In other words, they investigated compositions of compositions, wherethe mixing composition follows a logistic Normal distribution (or a perturbationprocess) and the compositions being mixed follow a logistic Normal distribution. Inthis paper, I investigate the extension to situations where the mixing compositionvaries with a number of dimensions. Examples would be where the mixingproportions vary with time or distance or a combination of the two. Practicalsituations include a river where the mixing proportions vary along the river, or acrossa lake and possibly with a time trend. This is illustrated with a dataset similar to thatused in the Aitchison and Bacon-Shone paper, which looked at how pollution in aloch depended on the pollution in the three rivers that feed the loch. Here, I explicitlymodel the variation in the linear combination across the loch, assuming that the meanof the logistic Normal distribution depends on the river flows and relative distancefrom the source origins

Studies about the atomic capabilities concept for linear control systems in physical multi-agent environments

This paper shows the impact of the atomic capabilities concept to include control-oriented knowledge of linear control systems in the decisions making structure of physical agents. These agents operate in a real environment managing physical objects (e.g. their physical bodies) in coordinated tasks. This approach is presented using an introspective reasoning approach and control theory based on the specific tasks of passing a ball and executing the offside manoeuvre between physical agents in the robotic soccer testbed. Experimental results and conclusions are presented, emphasising the advantages of our approach that improve the multi-agent performance in cooperative systems

A Log-linear model of grain size influence on the geochemistry of sediments

Sediment composition is mainly controlled by the nature of the source rock(s), and chemical (weathering) and physical processes (mechanical crushing, abrasion, hydrodynamic sorting) during alteration and transport. Although the factors controlling these processes are conceptually well understood, detailed quantification of compositional changes induced by a single process are rare, as are examples where the effects of several processes can be distinguished. The present study was designed to characterize the role of mechanical crushing and sorting in the absence of chemical weathering. Twenty sediment samples were taken from Alpine glaciers that erode almost pure granitoid lithologies. For each sample, 11 grain-size fractions from granules to clay (ø grades &-1 to &9) were separated, and each fraction was analysed for its chemical composition.The presence of clear steps in the box-plots of all parts (in adequate ilr and clr scales) against ø is assumed to be explained by typical crystal size ranges for the relevant mineral phases. These scatter plots and the biplot suggest a splitting of the full grain size range into three groups: coarser than ø=4 (comparatively rich in SiO2, Na2O, K2O, Al2O3, and dominated by “felsic” minerals like quartz and feldspar), finer than ø=8 (comparatively rich in TiO2, MnO, MgO, Fe2O3, mostly related to “mafic” sheet silicates like biotite and chlorite), and intermediate grains sizes (4≤ø &8; comparatively rich in P2O5 and CaO, related to apatite, some feldspar).To further test the absence of chemical weathering, the observed compositions were regressed against three explanatory variables: a trend on grain size in ø scale, a step function for ø≥4, and another for ø≥8. The original hypothesis was that the trend could be identified with weathering effects, whereas each step function would highlight those minerals with biggest characteristic size at its lower end. Results suggest that this assumption is reasonable for the step function, but that besides weathering some other factors (different mechanical behavior of minerals) have also an important contribution to the trend.Key words: sediment, geochemistry, grain size, regression, step function

Modelling of non-linear viscoelastic tissues with bar elements

In this work we develop a viscoelastic bar element that can handle multiple rheo- logical laws with non-linear elastic and non-linear viscous material models. The bar element is built by joining in series an elastic and viscous bar, constraining the middle node position to the bar axis with a reduction method, and stati- cally condensing the internal degrees of freedom. We apply the methodology to the modelling of reversible softening with sti ness recovery both in 2D and 3D, a phenomenology also experimentally observed during stretching cycles on epithelial lung cell monolayers.