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You're reading from  Regression Analysis with R

Product typeBook
Published inJan 2018
Reading LevelIntermediate
PublisherPackt
ISBN-139781788627306
Edition1st Edition
Languages
R
Concepts
Predictive Analytics
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Author (1)
Giuseppe Ciaburro
Giuseppe Ciaburro
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Giuseppe Ciaburro

Giuseppe Ciaburro holds a PhD and two master's degrees. He works at the Built Environment Control Laboratory - Università degli Studi della Campania "Luigi Vanvitelli". He has over 25 years of work experience in programming, first in the field of combustion and then in acoustics and noise control. His core programming knowledge is in MATLAB, Python and R. As an expert in AI applications to acoustics and noise control problems, Giuseppe has wide experience in researching and teaching. He has several publications to his credit: monographs, scientific journals, and thematic conferences. He was recently included in the world's top 2% scientists list by Stanford University (2022).
Read more about Giuseppe Ciaburro

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Multivariate Adaptive Regression Splines

MARS is a form of regression analysis introduced by Jerome H. Friedman (1991), with the main purpose being to predict the values of a response variable from a set of predictor variables.

MARS is a nonparametric regression procedure that makes no assumption about the underlying functional relationship between the response and predictor variables.

This relationship is constructed from a set of coefficients and basis functions that are processed starting from the regression data. The method divides the input space into regions, each with its own regression equation. This makes MARS particularly suitable for problems with a large number of predictors. The following figure shows a distribution with two regression regions:

The MARS algorithm operates as a multiple piecewise linear regression, where each breakpoint (estimated from the data) defines the region of application for a very simple linear regression equation.

The general MARS model equation is as follows...

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Regression Analysis with R
Published in: Jan 2018Publisher: PacktISBN-13: 9781788627306
© 2018 Packt Publishing Limited All Rights Reserved

Author (1)

author image
Giuseppe Ciaburro

Giuseppe Ciaburro holds a PhD and two master's degrees. He works at the Built Environment Control Laboratory - Università degli Studi della Campania "Luigi Vanvitelli". He has over 25 years of work experience in programming, first in the field of combustion and then in acoustics and noise control. His core programming knowledge is in MATLAB, Python and R. As an expert in AI applications to acoustics and noise control problems, Giuseppe has wide experience in researching and teaching. He has several publications to his credit: monographs, scientific journals, and thematic conferences. He was recently included in the world's top 2% scientists list by Stanford University (2022).
Read more about Giuseppe Ciaburro

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