Outlier Detection of Water Quality Data Using Ensemble Empirical Mode Decomposition

Objectives : This study was conducted to propose a new methodology for efficiently identifying and removing various outliers that occur in data collected through automated water quality monitoring systems. In the present study, water temperature data were collected from domestic G_water supply system, and the performance of the proposed methodology was tested for water temperature data collected from domestic G_water supply system.Methods : We applied the following analytical procedure to identify outliers in the water quality data: First, a normality test was performed on the collected data. If normality condition was satisfied, the Z-score was used. However, if the normality condition was not satisfied, outliers were identified using the quartile, and the limitations of the existing methodology were analyzed. Second, we decomposed the intrinsic mode function using empirical mode decomposition and ensemble empirical mode decomposition for the collected data, and then considered the occurrence of modal mixing. Finally, a group of intrinsic mode functions was selected using statistical characteristics to identify outliers. In addition, the performance of the method was verified after removing and interpolating outliers using regression analysis and Cook’s distance.Results and Discussion : In the case of water temperature data, as normality condition was not satisfied, outlier identification was carried out by applying the modified quartile method. It was confirmed that outliers distributed within the seasonal component could not be identified at all. In the case of empirical mode decomposition, modal mixing occurred because of the effect of outliers. However, in the case of the ensemble empirical mode decomposition, modal mixing was resolved and the distinct seasonal components were decomposed as intrinsic mode functions. The intrinsic mode functions were synthesized, which showed statistical correlation with the raw water temperature data. As a result of developing a regression model using the synthesized intrinsic mode functions and raw water temperature data and performing outlier search based on Cook’s distances, we concluded that various outliers distributed within the seasonal component could be effectively identified.Conclusions : Considering that satisfactory results could be derived from statistical analysis of the data collected from the automated water quality monitoring system, it can be concluded that outlier identification procedures are essential. However, in the case of the conventional univariate outlier search method, it is apparent that the outlier search performance is significantly poor for data with strong inherent variability, and the interpolation method for the searched outlier cannot be performed. Conversely, the outlier identification method based on ensemble empirical mode decomposition and regression analysis proposed in this study shows excellent discrimination performance for outliers distributed in data with strong inherent variability. Moreover, this method has the advantage of reducing the analyst’s dependence on subjective judgment by presenting statistical cutoff criteria. An additional advantage of the method is that data can be interpolated after removing outliers using intrinsic mode functions. Therefore, the outlier search and interpolation method proposed in this study is expected to have greater applicability as a more effective analysis tool compared to the existing univariate outlier search method.

Fixed Point Results under Generalized c-Distance in Cone b-Metric Spaces Over Banach Algebras

In this work, we define the concept of a generalized c-distance in cone b-metric spaces over a Banach algebra and introduce some its properties. Then, we prove the existence and uniqueness of fixed points for mappings satisfying weak contractive conditions such as Han–Xu-type contraction and Cho-type contraction with respect to this distance. Our assertions are useful, since we remove the continuity condition of the mapping and the normality condition for the cone. Several examples are given to support the main results.

The Investigation of Dependence Between the Internet Measurement and Globalization

Under the new measurement for the internet supplied from the Cooperative Association for Internet Data Analysis (CAIDA), the authors relax the orthogonal and normality condition with the methodology based on empirical codependence structures and marginal distributions. The nonparametric dependence between the diffusion of the internet and different globalization indices is examined using a panel of 10 countries, as long as error terms do not follow multivariate Gaussian distributions. The model selections are ranked and the authors find the best dependence model. The empirical dependence of the Internet diffusion on the globalization is further demonstrated from the dynamic copula analysis.

Orthodontic-Surgical Treatment of Pattern II: Case Report

As más oclusões do Padrão II podem demandar diferentes abordagens terapêuticas. Quando a face é no mínimo aceitável, o tratamento poderá se restringir a região dentoalveolar. No entanto, quando a face é desagradável a correção deve envolver a realização de cirurgia ortognática, além do tratamento ortodôntico. E é exatamente à união sinérgica de todas as especialidades - Implante, Prótese, Cirurgia e Ortodontia – que garante a construção de um sorriso mais estético e saudável e com melhorias significativas na face. O objetivo desse trabalho é descrever um caso clínico de um paciente adulto, negro, Padrão II, deficiência mandibular grave, face desagradável. O tratamento envolveu ortodontia descompensatória, reabilitação protética, cirurgia ortognática e por fim, reanatomização estética dos dentes anteriores superiores, o que permitiu ao paciente uma condição de normalidade oclusal e facial.Palavras chave: Diagnóstico. Má Oclusão de Angle Classe II. Cirurgia Ortognática.AbstractPattern II may require different therapeutic approaches. When the face is at least acceptable, treatment may be restricted to dentoalveolar region. However, when the is unpleasant, correction should involve performing orthognathic surgery, in addition to the orthodontic treatment. And that is exactly the synergic union of all specialties - Implant, prosthesis, surgery and orthodontics - which ensures the construction of a more aesthetic and healthy smile and with significant face improvements. The aim of this study is to describe a case of an adult patient, black, malocclusions class II, severe mandibular deficiency, unpleasant face. The treatment involved descompensatory orthodontics, prosthetic rehabilitation, orthognathic surgery and finally aesthetic reanatomization the upper front teeth, which allowed the patient a normality condition of occlusion and face.Keywords: Diagnosis. Malocclusion, Angle Class II. Orthognathic Surgery

Mathematical modeling of materially nonlinear problems in structural analyses, Part I: Theoretical fundamentals

Material models describe the way they behave when loaded. The paper presents the development of the model beginning with the simplest linear-elastic and rigid-plastic ones. The basic data in the plasticity theory have been defined, such as criterion and yield (failure) surface, hardening law, plastic yield law and normality condition. Yield criteria of Tresca, Von Mises, Mohr-Coulomb and Drucker-Prager were given separately.