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Titlebook: Data Analytics; Models and Algorithm Thomas A. Runkler Textbook 20121st edition Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden 2012

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Correlation,inear correlation methods are robust and computationally efficient but detect only linear dependencies. Nonlinear correlationmethods are able to detect nonlinear dependencies but need to be carefully parametrized. As a popular example for nonlinear correlation we present the chi-square test for inde
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Regression,ls can be efficiently computed from covariances but are restricted to linear dependencies. Substitution allows us to identify specific nonlinear dependencies by linear regression. Robust regression finds models that are robust against outliers. A popular family of nonlinear regression methods are un
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Forecasting,y or a Moore machine. This leads to recurrent or auto-regressive models. Building forecasting models is essentially a regression task. The training data sets for forecasting models are generated by finite unfolding in time. Popular linear forecasting models are auto-regressive models (AR) and genera
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Classification, define numerous indicators to quantify classifier performance. Pairs of indicators are considered to assess classification performance.We illustrate this with the receiver operating characteristic and the precision recall diagram. Several different classifiers with specific features and drawbacks a
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Textbook 20121st editionzation, correlation, regression, forecasting, classification, and clustering. It provides a sound mathematical basis, discusses advantages and drawbacks of different approaches, and enables the reader to design and implement data analytics solutions for real-world applications. The text is designed
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