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Regression Analysis with R

You're reading from   Regression Analysis with R Design and develop statistical nodes to identify unique relationships within data at scale

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Product type Paperback
Published in Jan 2018
Publisher Packt
ISBN-13 9781788627306
Length 422 pages
Edition 1st Edition
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Concepts
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Author (1):
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Giuseppe Ciaburro Giuseppe Ciaburro
Author Profile Icon Giuseppe Ciaburro
Giuseppe Ciaburro
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Table of Contents (11) Chapters Close

Preface 1. Getting Started with Regression 2. Basic Concepts – Simple Linear Regression FREE CHAPTER 3. More Than Just One Predictor – MLR 4. When the Response Falls into Two Categories – Logistic Regression 5. Data Preparation Using R Tools 6. Avoiding Overfitting Problems - Achieving Generalization 7. Going Further with Regression Models 8. Beyond Linearity – When Curving Is Much Better 9. Regression Analysis in Practice 10. Other Books You May Enjoy

Support Vector Regression


SVR is based on the same principles as the Support Vector Machine (SVM). In fact, SVR is the adapted form of SVM when the dependent variable is numeric rather than categorical. One of the main advantages of using SVR is that it is a nonparametric technique.

To build the model, the SVR technique uses the kernel functions. The commonly used kernel functions are:

  • Linear
  • Polynomial
  • Sigmoid
  • Radial base

This technique allows the fitting of a nonlinear model without changing the explanatory variables, helping to interpret the resulting pattern better.

In the SVR, we do not have to worry about the prediction as long as the error (ε) remains above a certain value. This method is called the maximal margin principle. The maximal margin allows SVR to be seen as a convex optimization problem.

Regression can also be penalized using a cost parameter, which becomes useful in avoiding excess adaptation. SVR is a useful technique that provides the user with a great flexibility in distributing...

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