21 resultados para probabilistic refinement calculus
em Repositório Científico do Instituto Politécnico de Lisboa - Portugal
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This study focus on the probabilistic modelling of mechanical properties of prestressing strands based on data collected from tensile tests carried out in Laboratório Nacional de Engenharia Civil (LNEC), Portugal, for certification purposes, and covers a period of about 9 years of production. The strands studied were produced by six manufacturers from four countries, namely Portugal, Spain, Italy and Thailand. Variability of the most important mechanical properties is examined and the results are compared with the recommendations of the Probabilistic Model Code, as well as the Eurocodes and earlier studies. The obtained results show a very low variability which, of course, benefits structural safety. Based on those results, probabilistic models for the most important mechanical properties of prestressing strands are proposed.
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In this article, we present the first study on probabilistic tsunami hazard assessment for the Northeast (NE) Atlantic region related to earthquake sources. The methodology combines the probabilistic seismic hazard assessment, tsunami numerical modeling, and statistical approaches. We consider three main tsunamigenic areas, namely the Southwest Iberian Margin, the Gloria, and the Caribbean. For each tsunamigenic zone, we derive the annual recurrence rate for each magnitude range, from Mw 8.0 up to Mw 9.0, with a regular interval, using the Bayesian method, which incorporates seismic information from historical and instrumental catalogs. A numerical code, solving the shallow water equations, is employed to simulate the tsunami propagation and compute near shore wave heights. The probability of exceeding a specific tsunami hazard level during a given time period is calculated using the Poisson distribution. The results are presented in terms of the probability of exceedance of a given tsunami amplitude for 100- and 500-year return periods. The hazard level varies along the NE Atlantic coast, being maximum along the northern segment of the Morocco Atlantic coast, the southern Portuguese coast, and the Spanish coast of the Gulf of Cadiz. We find that the probability that a maximum wave height exceeds 1 m somewhere in the NE Atlantic region reaches 60 and 100 % for 100- and 500-year return periods, respectively. These probability values decrease, respectively, to about 15 and 50 % when considering the exceedance threshold of 5 m for the same return periods of 100 and 500 years.
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Clustering ensemble methods produce a consensus partition of a set of data points by combining the results of a collection of base clustering algorithms. In the evidence accumulation clustering (EAC) paradigm, the clustering ensemble is transformed into a pairwise co-association matrix, thus avoiding the label correspondence problem, which is intrinsic to other clustering ensemble schemes. In this paper, we propose a consensus clustering approach based on the EAC paradigm, which is not limited to crisp partitions and fully exploits the nature of the co-association matrix. Our solution determines probabilistic assignments of data points to clusters by minimizing a Bregman divergence between the observed co-association frequencies and the corresponding co-occurrence probabilities expressed as functions of the unknown assignments. We additionally propose an optimization algorithm to find a solution under any double-convex Bregman divergence. Experiments on both synthetic and real benchmark data show the effectiveness of the proposed approach.
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In the Sparse Point Representation (SPR) method the principle is to retain the function data indicated by significant interpolatory wavelet coefficients, which are defined as interpolation errors by means of an interpolating subdivision scheme. Typically, a SPR grid is coarse in smooth regions, and refined close to irregularities. Furthermore, the computation of partial derivatives of a function from the information of its SPR content is performed in two steps. The first one is a refinement procedure to extend the SPR by the inclusion of new interpolated point values in a security zone. Then, for points in the refined grid, such derivatives are approximated by uniform finite differences, using a step size proportional to each point local scale. If required neighboring stencils are not present in the grid, the corresponding missing point values are approximated from coarser scales using the interpolating subdivision scheme. Using the cubic interpolation subdivision scheme, we demonstrate that such adaptive finite differences can be formulated in terms of a collocation scheme based on the wavelet expansion associated to the SPR. For this purpose, we prove some results concerning the local behavior of such wavelet reconstruction operators, which stand for SPR grids having appropriate structures. This statement implies that the adaptive finite difference scheme and the one using the step size of the finest level produce the same result at SPR grid points. Consequently, in addition to the refinement strategy, our analysis indicates that some care must be taken concerning the grid structure, in order to keep the truncation error under a certain accuracy limit. Illustrating results are presented for 2D Maxwell's equation numerical solutions.
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Mestrado em Intervenção Sócio-Organizacional na Saúde - Área de especialização: Políticas de Gestão e Administração dos Serviços de Saúde.
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Introdução – Os benefícios do exercício físico em sobreviventes de cancro da mama têm sido reportados; contudo, a sua prática permanece baixa, tornando importante o conhecimento dos fatores que promovam a motivação e adesão ao exercício nesta população. Objetivos – Identificar as preferências quanto à programação e aconselhamento do exercício físico de uma amostra da população de mulheres portuguesas sobreviventes de cancro da mama e averiguar a influência das variáveis demográficas e médicas nestas preferências. Método – Foi aplicado um questionário a uma amostra não probabilística sequencial de 26 mulheres sobreviventes de cancro da mama. Resultados – A amostra era maioritariamente constituída por mulheres entre os 45 e os 62 anos, casadas ou em união de facto, com ensino básico, empregadas e com Índice de Massa Corporal (IMC) > 24,4. Maioritariamente tinham realizado cirurgia radical há um mês ou mais, apresentavam estadio I do tumor, efetuavam quimioterapia como tratamento adjuvante e algumas realizavam classes de fisioterapia. A maioria das participantes demonstrava interesse em receber aconselhamento, sentia-se apta a participar num programa de exercício, preferia receber aconselhamento face-a-face no hospital e acompanhada por outros doentes oncológicos. O exercício deveria ser supervisionado e com intensidade moderada, sendo as caminhadas o tipo de exercício preferido. Não foi estatisticamente possível realizar a associação entre as variáveis demográficas e médicas e as preferências. Conclusão – Alguns resultados obtidos estão em concordância com estudos prévios; contudo, outros divergem destes. Os resultados obtidos podem fornecer informações importantes para a construção futura de programas de exercício para esta população. ABSTRACT - Introduction – The benefits of physical exercise in cancer survivors have been reported, although it’s practice remains low, becoming important the acknowledgement of the factors that promote the motivation and adhesion of physical exercise in this population. Objectives – To identify the preferences about programming and counseling of physical exercise inside a population-based sample of Portuguese women who have survived breast cancer. We also intend to investigate the influence of demographic and medical variables in those preferences. Method – A questionnaire was applied to a non-probabilistic sequential sample of 26 women that have survived breast cancer. Results – Our sample was mainly composed by women aged between 45 and 62, married or in a cohabitation state, with basic instruction, employed and with a Body Mass Index (BMI)> 24.4. Most of them have had radical mastectomy for at least one month, had the Stage I of the tumor, and had done chemotherapy as an adjuvant treatment and some of them were practicing post-surgery physical therapy. The majority of participants showed interest in receiving counseling, felt able to participate in an exercise program, preferred receiving face-to-face counseling, at the hospital and with other cancer patients. The exercise should be supervised and with a moderate intensity. Walking was their preferred choice of exercise. It was not statistically possible to establish the relationship between demographic and medical variables and those preferences. Conclusion – Some results are in agreement with previous studies; however, others diverge from these. The results obtained can provide important information for future construction of exercise programs for this population.
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In practical applications of optimization it is common to have several conflicting objective functions to optimize. Frequently, these functions are subject to noise or can be of black-box type, preventing the use of derivative-based techniques. We propose a novel multiobjective derivative-free methodology, calling it direct multisearch (DMS), which does not aggregate any of the objective functions. Our framework is inspired by the search/poll paradigm of direct-search methods of directional type and uses the concept of Pareto dominance to maintain a list of nondominated points (from which the new iterates or poll centers are chosen). The aim of our method is to generate as many points in the Pareto front as possible from the polling procedure itself, while keeping the whole framework general enough to accommodate other disseminating strategies, in particular, when using the (here also) optional search step. DMS generalizes to multiobjective optimization (MOO) all direct-search methods of directional type. We prove under the common assumptions used in direct search for single objective optimization that at least one limit point of the sequence of iterates generated by DMS lies in (a stationary form of) the Pareto front. However, extensive computational experience has shown that our methodology has an impressive capability of generating the whole Pareto front, even without using a search step. Two by-products of this paper are (i) the development of a collection of test problems for MOO and (ii) the extension of performance and data profiles to MOO, allowing a comparison of several solvers on a large set of test problems, in terms of their efficiency and robustness to determine Pareto fronts.
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Mestrado em Radioterapia.
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Dissertação apresentada para obtenção do grau de Mestre em Educação Matemática na Educação Pré-Escolar e no 1.º e 2.º Ciclos do Ensino Básico
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Mestrado em Tecnologia de Diagnóstico e Intervenção Cardiovascular - Área de especialização: Ultrassonografia Cardiovascular.
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In this work a new probabilistic and dynamical approach to an extension of the Gompertz law is proposed. A generalized family of probability density functions, designated by Beta* (p, q), which is proportional to the right hand side of the Tsoularis-Wallace model, is studied. In particular, for p = 2, the investigation is extended to the extreme value models of Weibull and Frechet type. These models, described by differential equations, are proportional to the hyper-Gompertz growth model. It is proved that the Beta* (2, q) densities are a power of betas mixture, and that its dynamics are determined by a non-linear coupling of probabilities. The dynamical analysis is performed using techniques of symbolic dynamics and the system complexity is measured using topological entropy. Generally, the natural history of a malignant tumour is reflected through bifurcation diagrams, in which are identified regions of regression, stability, bifurcation, chaos and terminus.
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Mestrado em Radioterapia
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Trabalho Final de Mestrado para obtenção do grau de Mestre em Engenharia de Electrónica e Telecomunicações
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Trabalho Final de Mestrado para obtenção do grau de Mestre em Engenharia Civil na Área de Especialização de Estruturas
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Dissertação para a obtenção do grau de Mestre em Engenharia Civil na Área de Especialização em Estruturas