# Non-Linear Classification in R

In this post you will discover 8 recipes for non-linear classification in R. Each recipe is ready for you to copy and paste and modify for your own problem.

All recipes in this post use the iris flowers dataset provided with R in the datasets package. The dataset describes the measurements if iris flowers and requires classification of each observation to one of three flower species.

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Irise Flowers
Photo by dottieg2007, some rights reserved

## Mixture Discriminant Analysis

This recipe demonstrates the MDA method on the iris dataset.

QDA seeks a quadratic relationship between attributes that maximizes the distance between the classes.

This recipe demonstrates the QDA method on the iris dataset.

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## Regularized Discriminant Analysis

This recipe demonstrates the RDA method on the iris dataset.

## Neural Network

A Neural Network (NN) is a graph of computational units that receive inputs and transfer the result into an output that is passed on. The units are ordered into layers to connect the features of an input vector to the features of an output vector. With training, such as the Back-Propagation algorithm, neural networks can be designed and trained to model the underlying relationship in data.

This recipe demonstrates a Neural Network on the iris dataset.

## Flexible Discriminant Analysis

This recipe demonstrates the FDA method on the iris dataset.

## Support Vector Machine

Support Vector Machines (SVM) are a method that uses points in a transformed problem space that best separate classes into two groups. Classification for multiple classes is supported by a one-vs-all method. SVM also supports regression by modeling the function with a minimum amount of allowable error.

This recipe demonstrates the SVM method on the iris dataset.

## k-Nearest Neighbors

The k-Nearest Neighbor (kNN) method makes predictions by locating similar cases to a given data instance (using a similarity function) and returning the average or majority of the most similar data instances.

This recipe demonstrate the kNN method on the iris dataset.

## Naive Bayes

Naive Bayes uses Bayes Theorem to model the conditional relationship of each attribute to the class variable.

This recipe demonstrates Naive Bayes on the iris dataset.

## Summary

In this post you discovered 8 recipes for non-linear classificaiton in R using the iris flowers dataset.

Each recipe is generic and ready for you to copy and paste and modify for your own problem.

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### 4 Responses to Non-Linear Classification in R

1. Daniel Nee August 28, 2014 at 9:29 pm #

Naive Bayes would generally be considered a linear classifier. The exception being if you are learning a Gaussian Naive Bayes (numerical feature set) and learning separate variances per class for each feature.

Tom Mitchell has a new book chapter that covers this topic pretty well: http://www.cs.cmu.edu/~tom/mlbook/NBayesLogReg.pdf

2. Chathurani September 29, 2015 at 9:40 pm #

this example is good , but i know about more than this. as a example Neural Network different model, but it related only text data .

3. Kelly April 17, 2019 at 4:42 am #

Hi, thanks for the post, I am looking at your QDA model and when I run summary(fit), it looks like this
Length Class Mode
prior 3 -none- numeric
counts 3 -none- numeric
means 12 -none- numeric
scaling 48 -none- numeric
ldet 3 -none- numeric
lev 3 -none- character
N 1 -none- numeric
call 3 -none- call
terms 3 terms call
xlevels 0 -none- list

Can you explain this summary? I also want to look at the variable importance in my model and test on images for later usage

• Jason Brownlee April 17, 2019 at 7:03 am #

No sorry, perhaps check the documentation for the mode?