The MATLAB_IterativeInputSelection toolbox is a MatLab implementation of the Iterative Input Selection (IIS) algorithm proposed by Galelli and Castelletti (2013). The underlying Extremely Randomized Trees (Extra-Trees) models are implemented using the "rtree-c" code by P. Geurts (http://www.montefiore.ulg.ac.be/~geurts/Software.html) to improve computational efficiency.

The original version, entirely written in MATLAB, is available at https://github.com/stefano-galelli/MATLAB_IterativeInputSelection/ .

Contents:

• script_example.m: show how to use the available functions on a sample dataset (Friedman_dataset.txt).
• crossvalidation_extra_tree_ensemble.m: run a k-fold cross-validation for an ensemble of Extra-Trees.
• input_ranking.m: rank the input variables.
• iterative_input_selection.m: run the IIS algorithm.
• perform_IIS.m: wrapper function used to launch iterative_input_selection.m
• shuffle_data.m: shuffle the observations of the sample dataset.
• Rt2_fit.m: compute the coefficient of determination R2.
• visualize_inputSel.m : visualize the results obtained with multiple runs of the IIS algorithm.
• Friedman_dataset.txt: sample dataset, with 10 candidate inputs (first 10 columns) and 1 output (last column). The observations, arranged by rows, are 250.
• INSTALL.txt: text file containing step-by-step instructions for modifying and compiling the C source code.

Based on work from the following papers:

• Galelli, S., and A. Castelletti (2013a), Tree-based iterative input variable selection for hydrological modeling, Water Resour. Res., 49(7), 4295-4310 (Link to Paper).
• Galelli, S., and A. Castelletti (2013b), Assessing the predictive capability of randomized tree-based ensembles in streamflow modelling, Hydrol. Earth Syst. Sci., 17, 2669-2684 (Link to Paper).
• Geurts, P., D. Ernst, and L. Wehenkel (2006), Extremely randomized trees, Mach. Learn., 63(1), 3-42 (Link to Paper).

Acknowledgements: to Dr. Matteo Giuliani (Politecnico di Milano).

Copyright 2014 Stefano Galelli and Riccardo Taormina

Prof. Galelli is Assistant Professor, Singapore University of Technology and Design [email protected] http://people.sutd.edu.sg/~stefano_galelli/index.html

Riccardo Taormina is a Ph.D. candidate at the Hong Kong Polytechnic University [email protected]

This file is part of MATLAB_IterativeInputSelection_with_Rtree-c

MATLAB_IterativeInputSelection_with_Rtree-c 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.

This code 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 MATLAB_IterativeInputSelection_with_Rtree-c. If not, see http://www.gnu.org/licenses/.