The GenSVM classifier is a generalized multiclass support vector machine (SVM). This classifier aims to find decision boundaries that separate the classes with as wide a margin as possible. In GenSVM, the loss function is very flexible in the way that misclassifications are penalized. This allows the user to tune the classifier to the dataset at hand and potentially obtain higher classification accuracy than alternative multiclass SVMs. Moreover, this flexibility means that GenSVM has a number of other multiclass SVMs as special cases. One of the other advantages of GenSVM is that it is trained in the primal space, allowing the use of warm starts during optimization. This means that for common tasks such as cross validation or repeated model fitting, GenSVM can be trained very quickly. Based on: G.J.J. van den Burg and P.J.F. Groenen (2018) < http://www.jmlr.org/papers/v17/14-526.html>.

This package implements the GenSVM Multiclass Support Vector Machine classifier in R.

`> x <- iris[, -5]> y <- iris[, 5]> fit <- gensvm(x, y, kernel='rbf', gamma=10, max.iter=5000, verbose=1, random.seed=123)> plot(fit, xlim=c(-5, 5), ylim=c(-5, 5))> title("Iris dataset (GenSVM + RBF)")`

The GenSVM classifier is a generalized multiclass support vector machine (SVM). This classifier aims to find decision boundaries that separate the classes with as wide a margin as possible. In GenSVM, the loss functions that measures how misclassifications are counted is very flexible. This allows the user to tune the classifier to the dataset at hand and potentially obtain higher classification accuracy. Moreover, this flexibility means that GenSVM has a number of alternative multiclass SVMs as special cases. One of the other advantages of GenSVM is that it is trained in the primal space, allowing the use of warm starts during optimization. This means that for common tasks such as cross validation or repeated model fitting, GenSVM can be trained very quickly.

For more information about GenSVM, see the paper: GenSVM: A Generalized
Multiclass Support Vector Machine by
G.J.J. van den Burg and P.J.F. Groenen (*Journal of Machine Learning
Research*, 2016).

This package can be installed from CRAN:

`> install.packages('gensvm')`

The package is extensively documented with many examples. See
`?gensvm-package`

, `?gensvm`

and `?gensvm.grid`

in R.

The main GenSVM functions are:

`gensvm`

: Fit a GenSVM model for specific model parameters.`gensvm.grid`

: Run a cross-validated grid search for GenSVM.

Both these functions return S3 objects that for which `plot`

and `predict`

functions are available. For the GenSVMGrid object the function is applied to
the best model found during training. For both of these objects a `coef`

function is also available.

The following utility functions are also included in the package:

`gensvm.accuracy`

: Compute the accuracy score between true and predicted class labels`gensvm.maxabs.scale`

: Scale each column of the dataset by its maximum absolute value, preserving sparsity and mapping the data to [-1, 1]`gensvm.train.test.split`

: Split a dataset into a training and testing sample`gensvm.refit`

: Refit a fitted GenSVM model with slightly different parameters or on a different dataset

If you use GenSVM in your work, please cite the paper using the information avialable through the following R command:

`> citation('gensvm')`

Alternatively, you can use the following BibTeX code directly:

```
@article{JMLR:v17:14-526,
author = {Gerrit J.J. {van den Burg} and Patrick J.F. Groenen},
title = {{GenSVM}: A Generalized Multiclass Support Vector Machine},
journal = {Journal of Machine Learning Research},
year = {2016},
volume = {17},
number = {225},
pages = {1-42},
url = {http://jmlr.org/papers/v17/14-526.html}
}
```

```
Copyright 2018, G.J.J. van den Burg.
RGenSVM is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
RGenSVM is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with RGenSVM. If not, see <http://www.gnu.org/licenses/>.
For more information please contact:
G.J.J. van den Burg
email: [email protected]
```