Some results on Lipschitz quasi-arithmetic means

We present in this paper some properties of k-Lipschitz quasi-arithmetic means. The Lipschitz aggregation operations are stable with respect to input inaccuracies, what is a very important property for applications. Moreover, we provide sufficient conditions to determine when a quasi–arithemetic mean holds the k-Lipschitz property and allow us to calculate the Lipschitz constant k.

Learning stable weights for data of varying dimension

In this paper we develop a data-driven weight learning method for weighted quasi-arithmetic means where the observed data may vary in dimension.

Fitting aggregation functions to data: part I-linearization and regularization

The use of supervised learning techniques for fitting weights and/or generator functions of weighted quasi-arithmetic means – a special class of idempotent and nondecreasing aggregation functions – to empirical data has already been considered in a number of papers. Nevertheless, there are still some important issues that have not been discussed in the literature yet. In the first part of this two-part contribution we deal with the concept of regularization, a quite standard technique from machine learning applied so as to increase the fit quality on test and validation data samples. Due to the constraints on the weighting vector, it turns out that quite different methods can be used in the current framework, as compared to regression models. Moreover, it is worth noting that so far fitting weighted quasi-arithmetic means to empirical data has only been performed approximately, via the so-called linearization technique. In this paper we consider exact solutions to such special optimization tasks and indicate cases where linearization leads to much worse solutions.

Fitting aggregation functions to data: Part II - idempotization

The use of supervised learning techniques for fitting weights and/or generator functions of weighted quasi-arithmetic means – a special class of idempotent and nondecreasing aggregation functions – to empirical data has already been considered in a number of papers. Nevertheless, there are still some important issues that have not been discussed in the literature yet. In the second part of this two-part contribution we deal with a quite common situation in which we have inputs coming from different sources, describing a similar phenomenon, but which have not been properly normalized. In such a case, idempotent and nondecreasing functions cannot be used to aggregate them unless proper preprocessing is performed. The proposed idempotization method, based on the notion of B-splines, allows for an automatic calibration of independent variables. The introduced technique is applied in an R source code plagiarism detection system.

On migrative means and copulas

In this short work we extend the results of J.Fodor and I.J. Rudas [6] characterizing migrative triangular norms, to quasi-arithmetic means. We use idempotisation construction to obtain quasi-arithmetic means migrative with respect to fixed parameter a. We also obtain the necessary and sufficient condition for a migrative triangular norm to be a copula.

Construction of aggregation functions from data using linear programming

This article examines the construction of aggregation functions from data by minimizing the least absolute deviation criterion. We formulate various instances of such problems as linear programming problems. We consider the cases in which the data are provided as intervals, and the outputs ordering needs to be preserved, and show that linear programming formulation is valid for such cases. This feature is very valuable in practice, since the standard simplex method can be used.

Aggregation functions based on penalties

This article studies a large class of averaging aggregation functions based on minimizing a distance from the vector of inputs, or equivalently, minimizing a penalty imposed for deviations of individual inputs from the aggregated value. We provide a systematization of various types of penalty based aggregation functions, and show how many special cases arise as the result. We show how new aggregation functions can be constructed either analytically or numerically and provide many examples. We establish connection with the maximum likelihood principle, and present tools for averaging experimental noisy data with distinct noise distributions.

On Lipschitz properties of generated aggregation functions

This article discusses Lipschitz properties of generated aggregation functions. Such generated functions include triangular norms and conorms, quasi-arithmetic means, uninorms, nullnorms and continuous generated functions with a neutral element. The Lipschitz property guarantees stability of aggregation operations with respect to input inaccuracies, and is important for applications. We provide verifiable sufficient conditions to determine when a generated aggregation function holds the k-Lipschitz property, and calculate the Lipschitz constants of power means. We also establish sufficient conditions which guarantee that a generated aggregation function is not Lipschitz. We found the only 1-Lipschitz generated function with a neutral element e ∈]0, 1[.

Consistency and stability in aggregation operators : an application to missing data problems

In this work we analyze the key issue of the relationship that should hold between the operators in a family {An} of aggregation operators in order to understand they properly define a consistent whole. Here we extend some of the ideas about stability of a family of aggregation operators into a more general framework, formally defining the notions of i – L and j – R strict stability for families of aggregation operators. The notion of strict stability of order k is introduced as well. Finally, we also present an application of the strict stability conditions to deal with missing data problems in an information aggregation process. For this analysis, we have focused in the weighted mean family and the quasi-arithmetic weighted means families.

Utilização de técnicas de análise de agrupamento do risco de geada no Estado do Paraná para a cultura do milho safrinha

Pós-graduação em Agronomia (Energia na Agricultura) - FCA

Comparação entre prótese plástica e metálica na paliação endoscópica da obstrução maligna da via biliar: revisão sistemática e metanálise baseadas em estudos randomizados

INTRODUÇÃO: A prótese biliar endoscópica é aceita em todo o mundo como a primeira escolha de tratamento paliativo na obstrução biliar maligna. Atualmente ainda persistem dois tipos de materiais utilizados em sua confecção: plástico e metal. Consequentemente, muitas dúvidas surgem quanto a qual deles é o mais benéfico para o paciente. Esta revisão reúne as informações disponíveis da mais alta qualidade sobre estes dois tipos de prótese, fornecendo informações em relação à disfunção, complicação, taxas de reintervenção, custos, sobrevida e tempo de permeabilidade; e pretende ajudar a lidar com a prática clínica nos dias de hoje. OBJETIVO: Analisar, através de metanálise, os benefícios de dois tipos de próteses na obstrução biliar maligna inoperável. MÉTODOS: Uma revisão sistemática de ensaios clínicos randomizados (RCT) foi conduzida, com a última atualização em março de 2015, utilizando EMBASE, CINAHL (EBSCO), Medline, Lilacs / Centro (BVS), Scopus, o CAPES (Brasil), e literatura cinzenta. As informações dos estudos selecionados foram extraídas tendo em vista seis desfechos: primariamente disfunção, taxas de reintervenção e complicações; e, secundariamente, custos, sobrevivência e tempo de permeabilidade. Os dados sobre as características dos participantes do RCT, critérios de inclusão e exclusão e tipos de próteses também foram extraídos. Os vieses foram avaliados principalmente através da escala de Jadad. Esta metanálise foi registrada no banco de dados PROSPERO pelo número CRD42014015078. A análise do risco absoluto dos resultados foi realizada utilizando o software RevMan 5, calculando as diferenças de risco (RD) de variáveis dicotômicas e média das diferenças (MD) de variáveis contínuas. Os dados sobre a RD e MD para cada desfecho primário foram calculados utilizando o teste de Mantel-Haenszel e a inconsistência foi avaliada com o teste Qui-quadrado (Chi2) e o método de Higgins (I2). A análise de sensibilidade foi realizada com a retirada de estudos discrepantes e a utilização do efeito aleatório. O teste t de Student foi utilizado para a comparação das médias aritméticas ponderadas, em relação aos desfechos secundários. RESULTADOS: Inicialmente foram identificados 3660 estudos; 3539 foram excluídos por título ou resumo, enquanto 121 estudos foram totalmente avaliados e foram excluídos, principalmente por não comparar próteses metálicas (SEMS) e próteses plásticas (PS), levando a treze RCT selecionados e 1133 indivíduos metanálise. A média de idade foi de 69,5 anos, e o câncer mais comum foi de via biliar (proximal) e pancreático (distal). O diâmetro de SEMS mais utilizado foi de 10 mm (30 Fr) e o diâmetro de PS mais utilizado foi de 10 Fr. Na metanálise, SEMS tiveram menor disfunção global em comparação com PS (21,6% versus 46,8% p < 0,00001) e menos reintervenções (21,6% versus 56,6% p < 0,00001), sem diferença nas complicações (13,7% versus 15,9% p = 0,16). Na análise secundária, a taxa média de sobrevida foi maior no grupo SEMS (182 contra 150 dias - p < 0,0001), com um período maior de permeabilidade (250 contra 124 dias - p < 0,0001) e um custo semelhante por paciente, embora menor no grupo SEMS (4.193,98 contra 4.728,65 Euros - p < 0,0985). CONCLUSÃO: SEMS estão associados com menor disfunção, menores taxas de reintervenção, melhor sobrevida e maior tempo de permeabilidade. Complicações e custos não apresentaram diferença

Population variation in biomonitoring data for persistent organic pollutants (POPs) : an examination of multiple population-based datasets for application to Australian pooled biomonitoring data

Background Australian national biomonitoring for persistent organic pollutants (POPs) relies upon age-specific pooled serum samples to characterize central tendencies of concentrations but does not provide estimates of upper bound concentrations. This analysis compares population variation from biomonitoring datasets from the US, Canada, Germany, Spain, and Belgium to identify and test patterns potentially useful for estimating population upper bound reference values for the Australian population. Methods Arithmetic means and the ratio of the 95th percentile to the arithmetic mean (P95:mean) were assessed by survey for defined age subgroups for three polychlorinated biphenyls (PCBs 138, 153, and 180), hexachlorobenzene (HCB), p,p-dichlorodiphenyldichloroethylene (DDE), 2,2′,4,4′ tetrabrominated diphenylether (PBDE 47), perfluorooctanoic acid (PFOA) and perfluorooctane sulfonate (PFOS). Results Arithmetic mean concentrations of each analyte varied widely across surveys and age groups. However, P95:mean ratios differed to a limited extent, with no systematic variation across ages. The average P95:mean ratios were 2.2 for the three PCBs and HCB; 3.0 for DDE; 2.0 and 2.3 for PFOA and PFOS, respectively. The P95:mean ratio for PBDE 47 was more variable among age groups, ranging from 2.7 to 4.8. The average P95:mean ratios accurately estimated age group-specific P95s in the Flemish Environmental Health Survey II and were used to estimate the P95s for the Australian population by age group from the pooled biomonitoring data. Conclusions Similar population variation patterns for POPs were observed across multiple surveys, even when absolute concentrations differed widely. These patterns can be used to estimate population upper bounds when only pooled sampling data are available.

Using simulation techniques to investigate methods to determine resistance of helminths to anthelmintic treatment

The widespread and increasing resistance of internal parasites to anthelmintic control is a serious problem for the Australian sheep and wool industry. As part of control programmes, laboratories use the Faecal Egg Count Reduction Test (FECRT) to determine resistance to anthelmintics. It is important to have confidence in the measure of resistance, not only for the producer planning a drenching programme but also for companies investigating the efficacy of their products. The determination of resistance and corresponding confidence limits as given in anthelmintic efficacy guidelines of the Standing Committee on Agriculture (SCA) is based on a number of assumptions. This study evaluated the appropriateness of these assumptions for typical data and compared the effectiveness of the standard FECRT procedure with the effectiveness of alternative procedures. Several sets of historical experimental data from sheep and goats were analysed to determine that a negative binomial distribution was a more appropriate distribution to describe pre-treatment helminth egg counts in faeces than a normal distribution. Simulated egg counts for control animals were generated stochastically from negative binomial distributions and those for treated animals from negative binomial and binomial distributions. Three methods for determining resistance when percent reduction is based on arithmetic means were applied. The first was that advocated in the SCA guidelines, the second similar to the first but basing the variance estimates on negative binomial distributions, and the third using Wadley’s method with the distribution of the response variate assumed negative binomial and a logit link transformation. These were also compared with a fourth method recommended by the International Co-operation on Harmonisation of Technical Requirements for Registration of Veterinary Medicinal Products (VICH) programme, in which percent reduction is based on the geometric means. A wide selection of parameters was investigated and for each set 1000 simulations run. Percent reduction and confidence limits were then calculated for the methods, together with the number of times in each set of 1000 simulations the theoretical percent reduction fell within the estimated confidence limits and the number of times resistance would have been said to occur. These simulations provide the basis for setting conditions under which the methods could be recommended. The authors show that given the distribution of helminth egg counts found in Queensland flocks, the method based on arithmetic not geometric means should be used and suggest that resistance be redefined as occurring when the upper level of percent reduction is less than 95%. At least ten animals per group are required in most circumstances, though even 20 may be insufficient where effectiveness of the product is close to the cut off point for defining resistance.

Estudo da interação de antipsicóticos atípicos e albumina sérica com base em modelos matemáticos e espectrofluorimétricos

Os antipsicóticos são drogas utilizadas no tratamento de muitos transtornos psiquiátricos, sendo classificados em dois grupos: típicos e atípicos. Os típicos formam o grupo de drogas que bloqueiam especialmente os receptores de dopamina e, por isto, causam efeitos colaterais característicos, que se manifestam através de sintomas extrapiramidais e podem terminar em discinesia tardia. Os atípicos apresentam eficácia antipsicótica similar à dos antipsicóticos típicos, mas produzem menos efeitos colaterais extrapiramidais e não causam discinesia tardia. Os antipsicóticos se ligam às proteínas plasmáticas, principalmente a albumina, a qual representa cerca de 60% do total das proteínas no soro humano. Neste trabalho estudamos os processos de interação de duas drogas antipsicóticas atípicas, risperidona e sulpirida, com as albuminas séricas humana (HSA) e bovina (BSA), através da técnica de supressão da fluorescência intrínseca do triptofano. A partir dos espectros de fluorescência, a análise dos dados foi feita obtendo-se os gráficos e as constantes de Stern-Volmer. A análise da supressão da fluorescência foi feita a partir da média aritmética dos dados oriundos dos experimentos realizados em cada condição adotada. Como a molécula da sulpirida é fluorescente desenvolvemos uma modelagem matemática do processo de interação, que nos permitiu então obter os dados referentes à supressão da fluorescência da proteína. Os resultados mostraram que a risperidona e a sulpirida suprimem a fluorescência de ambas albuminas por um processo de quenching estático, formando complexos droga-albumina. A risperidona tem uma afinidade com a HSA cerca de 6,5 vezes maior do que a sulpirida, a 37 oC. As constantes de associação calculadas para a interação risperidona-HSA, através da Teoria de Stern-Volmer, foram 1,43 ( 0,05) x 105 M-1, a 37 C, e 2,56 ( 0,09) x 105 M-1, a 25 C1; e para a sulpirida, 2,20 ( 0,08) x 104 M-1, a 37 C, e 5,46 ( 0,20) x 104 M-1, a 25 C. Como a taxa de quenching da BSA foi maior do que a da HSA, sugerimos que o sítio primário para a risperidona nas albuminas esteja localizado mais próximo ao domínio do triptofano 134 da BSA do que do domínio do triptofano 212 da HSA. O mesmo sugerimos com relação ao sítio para a sulpirida a 37 C.