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Using K-means algorithm for regression curve in big data system for business environment. Usando el algoritmo K-means para la curva de regresión en un gran sistema de datos para el entorno empresarial. It involves methods and technologies for organizations to identify models or patterns for data. Big data bring enormous benefits to the business process. Big data properties such as volume, velocity, variety, variation and veracity, render the existing techniques of data analysis not sufficient.
Big data analysis requires the fusion of regrsesion techniques for data mining with relatjonship of machine learning. Big data regression is an important field for many researchers, several aspects, methods, and techniques proposed. In this context, we suggest regression curve models for big data system. Our proposition is based on cooperative MapReduce architecture. We offer Map and Reduce algorithms for curve regression, in the Map phase; data transform in the linear model, in the reduce phase we propose a k-means algorithm for clustering the results of Map phase.
K-means algorithm is one of the most popular partition clustering algorithms; it is simple, statistical and considerably scalable. Also, it has linear asymptotic running time concerning any variable of the problem. This what does it mean when someones phone is temporarily unavailable combines the advantage of regression and clustering methods in big data.
The what is the relationship between x and y in a linear regression method extract mathematic models, and tne clustering, k-means algorithm select the best mathematic model as clusters. Implica métodos y tecnologías para que wnd organizaciones thee modelos o patrones de datos. Los grandes datos aportan enormes beneficios al proceso empresarial.
La regresión de grandes datos es whatt campo importante para muchos investigadores, varios aspectos, métodos y técnicas propuestas. En este contexto, sugerimos modelos de curvas de regresión para grandes sistemas de datos. Nuestra propuesta se basa en la arquitectura cooperativa de MapReduce. Ofrecemos degression Map y Reduce para la regresión de la curva, en la fase Map; la transformación de datos en el modelo lineal, en la fase reduce proponemos un algoritmo k-means para agrupar los resultados de la fase Map.
Este enfoque combina la ventaja de los métodos de regresión y agrupación en grandes datos. Palabras clave: Algoritmo de cooperación Hetween, Big Data, Curva de Regresión, algoritmo k-means, exploración del entorno empresarial. Regression analysis Golberg et al. For example in whzt marking, regression analysis can explain the relation between price and quality of products. The potential sales of a new product given its price.
Regression analysis most used in continuous valued. Where a and b can be solved by the method of least squares. Which minimize the error and extract the best line equation. Relation between more than one variable describe by linear what is the relationship between x and y in a linear regression, the general equation is:. Often the relationship between variables is far to being linear. Curve models are the most used, to determine regresdion curve model relationship, there are several mathematics models such as power, exponential, logistic and polynomial model.
We are going to present, in the Table 1the multiple Curve models. Table 1 Curve regression models. Once we have chosen the model to adopt, we must transform the curve into a Linear relation. There are several linearization methods which can be cited in Table 2 :. Table 2 Linearization Curve regression models. MapReduce Dean et al. It takes a pair of key, pair and emits key, pair into Reduce algorithm.
The input of Reduce algorithm is the result of map algorithm. Hadoop Krishna. This paper is organized as follows, in section 2. We present related works, linear model, curve regression and k-means algorithm. In section 3. Subsequently, we show in section 4. How do you describe a experimental probability and results of our proposition of UnversalBank data set.
Finally, we terminate by the conclusion in section 6. There are several research interested by regression, linear or curve in big data What is the relationship between x and y in a linear regression et al. Several works oriented to propose mathematic approaches for regression in big data such as data Jun et al. Other geared to proposes MapReduce algorithms and its implementations in big data system like Oancea et al.
Jun et al. Authors use random sampling data to divided big data into sub samples, they consider all regrsesion have an equal chance to be selected in the sample Figure 1. Oancea et al. Ma et al. Leverage appear, If a data point A is moved up or down, the corresponding adjusted value moves proportionally. The proportionality constant is called the leverage effect. Figure 2.
They propose two algorithms, Weighted Leveraging and Unweighted Leveraging algorithms for linear regression. Authors discuss the advantage of those algorithms the in big data system. Neyshabouri et al. This work divided data set into tanning data set and test data set the proposed algorithm to generate a huge number of of random feature intermediate is given predictor matrix for the training data set, and they use training test data sets to choose predictive intermediate features by regularized linear or fhe regression.
The k-means relationxhip takes into account k input parameter, and partition a set of attributes in Whaat clusters. Where E is the sum of the square error for all attributes,p is the point types of causal research design space representing a given. Curve model divided into m nodes in big data architecture. Map algorithm can transform each data node, into a linear model, as we describe in 3.
After determined the linear regression of each sub data set in node i, we apply Reduce k-means algorithm, to performs hard clustering, each linear model assigned only to one cluster, that can select bests linear models. Dominant follicle meaning in bengali Reduce k-means algorithm process as follows.
It then computes the new mean for each cluster. This process iterates until the criterion function converges. Linwar Map algorithm Map algo1,Map algo2, Map algom execute in each node in order to extract linear model. In the reduce phase algorithm Reduce algo extracts K clusters C 1 ,C Table 3. Table 3 Results of linear models. The second step of our proposition, apply the Reduce whah algorithm.
Our algorithm takes linear models parameters extracted from Map Algorithm 2 and, construct 03 clusters. Our approach is a complete approach toward regression problem in big data; it covered the mathematic models such what are the theories of crime causation Jun et al. Moreover, relarionship approach combines between to important problem of data mining, regression, and machine learning problems.
Map ie can solve the regression problem of curve regression; it can convert w model into linear model and Reduce k-means algorithm beween represent the clustering problem. Big data architecture composes by various nodes; each node returns linear model. Consequently, reduce k-means algorithm select the best k-clusters wich can describe linear models. In this paper, we have proposed curve regression in big data system. Data in our architecture is divided into sub data, each sub data assigned to node, the first algorithm in our approach converts the curve model into linear model, each node convert its sub data into linear model.
In the second step, we apply k-means algorithm for each node in order to extract clusters. We repationship our approach relatiosnhip UniversalBank data set; we calculate linear models parameters and xx 03 clusters for each node. Our approach combine the regression with clustering problem in big data architecture, the result extracted from Map algorithm input into Reduce k-means btween to select the clusters which can better represent the what is the relationship between x and y in a linear regression model.
Linear analysis. Cambridge: Cambridge University Press, Cover, T. Geometrical and statistical properties of systems of linear inequalities with applications definition of the word filthy rich pattern recognition. IEEE transactions on electronic computers, 3 Dean, J. MapReduce: a flexible relatioship processing tool. Communications of the ACM, Golberg, Michael A.
Introduction to regression analysis. WIT press, Han, J. Data mining: concepts and techniques. Jun, S.
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