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634 lines
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634 lines
22 KiB
Plaintext
12 years ago
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Libsvm is a simple, easy-to-use, and efficient software for SVM
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classification and regression. It solves C-SVM classification, nu-SVM
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classification, one-class-SVM, epsilon-SVM regression, and nu-SVM
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regression. It also provides an automatic model selection tool for
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C-SVM classification. This document explains the use of libsvm.
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Libsvm is available at
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http://www.csie.ntu.edu.tw/~cjlin/libsvm
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Please read the COPYRIGHT file before using libsvm.
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Table of Contents
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=================
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- Quick Start
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- Installation and Data Format
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- `svm-train' Usage
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- `svm-predict' Usage
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- `svm-scale' Usage
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- Tips on Practical Use
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- Examples
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- Precomputed Kernels
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- Library Usage
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- Java Version
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- Building Windows Binaries
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- Additional Tools: Sub-sampling, Parameter Selection, Format checking, etc.
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- Python Interface
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- Additional Information
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Quick Start
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===========
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If you are new to SVM and if the data is not large, please go to
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`tools' directory and use easy.py after installation. It does
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everything automatic -- from data scaling to parameter selection.
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Usage: easy.py training_file [testing_file]
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More information about parameter selection can be found in
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`tools/README.'
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Installation and Data Format
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============================
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On Unix systems, type `make' to build the `svm-train' and `svm-predict'
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programs. Run them without arguments to show the usages of them.
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On other systems, consult `Makefile' to build them (e.g., see
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'Building Windows binaries' in this file) or use the pre-built
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binaries (Windows binaries are in the directory `windows').
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The format of training and testing data file is:
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<label> <index1>:<value1> <index2>:<value2> ...
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.
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.
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.
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Each line contains an instance and is ended by a '\n' character. For
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classification, <label> is an integer indicating the class label
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(multi-class is supported). For regression, <label> is the target
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value which can be any real number. For one-class SVM, it's not used
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so can be any number. Except using precomputed kernels (explained in
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another section), <index>:<value> gives a feature (attribute) value.
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<index> is an integer starting from 1 and <value> is a real
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number. Indices must be in an ASCENDING order. Labels in the testing
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file are only used to calculate accuracy or errors. If they are
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unknown, just fill the first column with any numbers.
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A sample classification data included in this package is
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`heart_scale'. To check if your data is in a correct form, use
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`tools/checkdata.py' (details in `tools/README').
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Type `svm-train heart_scale', and the program will read the training
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data and output the model file `heart_scale.model'. If you have a test
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set called heart_scale.t, then type `svm-predict heart_scale.t
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heart_scale.model output' to see the prediction accuracy. The `output'
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file contains the predicted class labels.
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There are some other useful programs in this package.
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svm-scale:
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This is a tool for scaling input data file.
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svm-toy:
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This is a simple graphical interface which shows how SVM
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separate data in a plane. You can click in the window to
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draw data points. Use "change" button to choose class
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1, 2 or 3 (i.e., up to three classes are supported), "load"
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button to load data from a file, "save" button to save data to
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a file, "run" button to obtain an SVM model, and "clear"
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button to clear the window.
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You can enter options in the bottom of the window, the syntax of
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options is the same as `svm-train'.
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Note that "load" and "save" consider data in the
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classification but not the regression case. Each data point
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has one label (the color) which must be 1, 2, or 3 and two
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attributes (x-axis and y-axis values) in [0,1].
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Type `make' in respective directories to build them.
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You need Qt library to build the Qt version.
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(available from http://www.trolltech.com)
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You need GTK+ library to build the GTK version.
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(available from http://www.gtk.org)
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The pre-built Windows binaries are in the `windows'
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directory. We use Visual C++ on a 32-bit machine, so the
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maximal cache size is 2GB.
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`svm-train' Usage
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=================
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Usage: svm-train [options] training_set_file [model_file]
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options:
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-s svm_type : set type of SVM (default 0)
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0 -- C-SVC
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1 -- nu-SVC
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2 -- one-class SVM
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3 -- epsilon-SVR
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4 -- nu-SVR
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-t kernel_type : set type of kernel function (default 2)
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0 -- linear: u'*v
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1 -- polynomial: (gamma*u'*v + coef0)^degree
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2 -- radial basis function: exp(-gamma*|u-v|^2)
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3 -- sigmoid: tanh(gamma*u'*v + coef0)
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4 -- precomputed kernel (kernel values in training_set_file)
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-d degree : set degree in kernel function (default 3)
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-g gamma : set gamma in kernel function (default 1/k)
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-r coef0 : set coef0 in kernel function (default 0)
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-c cost : set the parameter C of C-SVC, epsilon-SVR, and nu-SVR (default 1)
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-n nu : set the parameter nu of nu-SVC, one-class SVM, and nu-SVR (default 0.5)
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-p epsilon : set the epsilon in loss function of epsilon-SVR (default 0.1)
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-m cachesize : set cache memory size in MB (default 100)
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-e epsilon : set tolerance of termination criterion (default 0.001)
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-h shrinking: whether to use the shrinking heuristics, 0 or 1 (default 1)
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-b probability_estimates: whether to train an SVC or SVR model for probability estimates, 0 or 1 (default 0)
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-wi weight: set the parameter C of class i to weight*C in C-SVC (default 1)
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-v n: n-fold cross validation mode
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The k in the -g option means the number of attributes in the input data.
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option -v randomly splits the data into n parts and calculates cross
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validation accuracy/mean squared error on them.
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See libsvm FAQ for the meaning of outputs.
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`svm-predict' Usage
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===================
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Usage: svm-predict [options] test_file model_file output_file
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options:
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-b probability_estimates: whether to predict probability estimates, 0 or 1 (default 0); for one-class SVM only 0 is supported
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model_file is the model file generated by svm-train.
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test_file is the test data you want to predict.
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svm-predict will produce output in the output_file.
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`svm-scale' Usage
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=================
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Usage: svm-scale [options] data_filename
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options:
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-l lower : x scaling lower limit (default -1)
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-u upper : x scaling upper limit (default +1)
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-y y_lower y_upper : y scaling limits (default: no y scaling)
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-s save_filename : save scaling parameters to save_filename
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-r restore_filename : restore scaling parameters from restore_filename
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See 'Examples' in this file for examples.
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Tips on Practical Use
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=====================
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* Scale your data. For example, scale each attribute to [0,1] or [-1,+1].
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* For C-SVC, consider using the model selection tool in the tools directory.
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* nu in nu-SVC/one-class-SVM/nu-SVR approximates the fraction of training
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errors and support vectors.
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* If data for classification are unbalanced (e.g. many positive and
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few negative), try different penalty parameters C by -wi (see
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examples below).
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* Specify larger cache size (i.e., larger -m) for huge problems.
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Examples
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========
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> svm-scale -l -1 -u 1 -s range train > train.scale
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> svm-scale -r range test > test.scale
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Scale each feature of the training data to be in [-1,1]. Scaling
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factors are stored in the file range and then used for scaling the
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test data.
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> svm-train -s 0 -c 5 -t 2 -g 0.5 -e 0.1 data_file
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Train a classifier with RBF kernel exp(-0.5|u-v|^2), C=10, and
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stopping tolerance 0.1.
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> svm-train -s 3 -p 0.1 -t 0 data_file
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Solve SVM regression with linear kernel u'v and epsilon=0.1
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in the loss function.
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> svm-train -c 10 -w1 1 -w-1 5 data_file
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Train a classifier with penalty 10 for class 1 and penalty 50
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for class -1.
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> svm-train -s 0 -c 100 -g 0.1 -v 5 data_file
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Do five-fold cross validation for the classifier using
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the parameters C = 100 and gamma = 0.1
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> svm-train -s 0 -b 1 data_file
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> svm-predict -b 1 test_file data_file.model output_file
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Obtain a model with probability information and predict test data with
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probability estimates
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Precomputed Kernels
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===================
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Users may precompute kernel values and input them as training and
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testing files. Then libsvm does not need the original
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training/testing sets.
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Assume there are L training instances x1, ..., xL and.
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Let K(x, y) be the kernel
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value of two instances x and y. The input formats
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are:
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New training instance for xi:
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<label> 0:i 1:K(xi,x1) ... L:K(xi,xL)
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New testing instance for any x:
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<label> 0:? 1:K(x,x1) ... L:K(x,xL)
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That is, in the training file the first column must be the "ID" of
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xi. In testing, ? can be any value.
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All kernel values including ZEROs must be explicitly provided. Any
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permutation or random subsets of the training/testing files are also
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valid (see examples below).
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Note: the format is slightly different from the precomputed kernel
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package released in libsvmtools earlier.
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Examples:
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Assume the original training data has three four-feature
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instances and testing data has one instance:
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15 1:1 2:1 3:1 4:1
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45 2:3 4:3
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25 3:1
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15 1:1 3:1
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If the linear kernel is used, we have the following new
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training/testing sets:
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15 0:1 1:4 2:6 3:1
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45 0:2 1:6 2:18 3:0
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25 0:3 1:1 2:0 3:1
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15 0:? 1:2 2:0 3:1
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? can be any value.
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Any subset of the above training file is also valid. For example,
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25 0:3 1:1 2:0 3:1
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45 0:2 1:6 2:18 3:0
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implies that the kernel matrix is
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[K(2,2) K(2,3)] = [18 0]
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[K(3,2) K(3,3)] = [0 1]
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Library Usage
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=============
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These functions and structures are declared in the header file
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`svm.h'. You need to #include "svm.h" in your C/C++ source files and
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link your program with `svm.cpp'. You can see `svm-train.c' and
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`svm-predict.c' for examples showing how to use them. We define
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LIBSVM_VERSION in svm.h, so you can check the version number.
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Before you classify test data, you need to construct an SVM model
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(`svm_model') using training data. A model can also be saved in
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a file for later use. Once an SVM model is available, you can use it
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to classify new data.
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- Function: struct svm_model *svm_train(const struct svm_problem *prob,
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const struct svm_parameter *param);
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This function constructs and returns an SVM model according to
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the given training data and parameters.
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struct svm_problem describes the problem:
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struct svm_problem
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{
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int l;
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double *y;
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struct svm_node **x;
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};
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where `l' is the number of training data, and `y' is an array containing
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their target values. (integers in classification, real numbers in
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regression) `x' is an array of pointers, each of which points to a sparse
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representation (array of svm_node) of one training vector.
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For example, if we have the following training data:
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LABEL ATTR1 ATTR2 ATTR3 ATTR4 ATTR5
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----- ----- ----- ----- ----- -----
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1 0 0.1 0.2 0 0
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2 0 0.1 0.3 -1.2 0
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1 0.4 0 0 0 0
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2 0 0.1 0 1.4 0.5
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3 -0.1 -0.2 0.1 1.1 0.1
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then the components of svm_problem are:
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l = 5
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y -> 1 2 1 2 3
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x -> [ ] -> (2,0.1) (3,0.2) (-1,?)
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[ ] -> (2,0.1) (3,0.3) (4,-1.2) (-1,?)
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[ ] -> (1,0.4) (-1,?)
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[ ] -> (2,0.1) (4,1.4) (5,0.5) (-1,?)
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[ ] -> (1,-0.1) (2,-0.2) (3,0.1) (4,1.1) (5,0.1) (-1,?)
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where (index,value) is stored in the structure `svm_node':
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struct svm_node
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{
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int index;
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double value;
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};
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index = -1 indicates the end of one vector.
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struct svm_parameter describes the parameters of an SVM model:
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struct svm_parameter
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{
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int svm_type;
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int kernel_type;
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int degree; /* for poly */
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double gamma; /* for poly/rbf/sigmoid */
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double coef0; /* for poly/sigmoid */
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/* these are for training only */
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double cache_size; /* in MB */
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double eps; /* stopping criteria */
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double C; /* for C_SVC, EPSILON_SVR, and NU_SVR */
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int nr_weight; /* for C_SVC */
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int *weight_label; /* for C_SVC */
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double* weight; /* for C_SVC */
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double nu; /* for NU_SVC, ONE_CLASS, and NU_SVR */
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double p; /* for EPSILON_SVR */
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int shrinking; /* use the shrinking heuristics */
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int probability; /* do probability estimates */
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};
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svm_type can be one of C_SVC, NU_SVC, ONE_CLASS, EPSILON_SVR, NU_SVR.
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C_SVC: C-SVM classification
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NU_SVC: nu-SVM classification
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ONE_CLASS: one-class-SVM
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EPSILON_SVR: epsilon-SVM regression
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NU_SVR: nu-SVM regression
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kernel_type can be one of LINEAR, POLY, RBF, SIGMOID.
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LINEAR: u'*v
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POLY: (gamma*u'*v + coef0)^degree
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RBF: exp(-gamma*|u-v|^2)
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SIGMOID: tanh(gamma*u'*v + coef0)
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PRECOMPUTED: kernel values in training_set_file
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cache_size is the size of the kernel cache, specified in megabytes.
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C is the cost of constraints violation. (we usually use 1 to 1000)
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eps is the stopping criterion. (we usually use 0.00001 in nu-SVC,
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0.001 in others). nu is the parameter in nu-SVM, nu-SVR, and
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one-class-SVM. p is the epsilon in epsilon-insensitive loss function
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of epsilon-SVM regression. shrinking = 1 means shrinking is conducted;
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= 0 otherwise. probability = 1 means model with probability
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information is obtained; = 0 otherwise.
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nr_weight, weight_label, and weight are used to change the penalty
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for some classes (If the weight for a class is not changed, it is
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set to 1). This is useful for training classifier using unbalanced
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input data or with asymmetric misclassification cost.
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nr_weight is the number of elements in the array weight_label and
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weight. Each weight[i] corresponds to weight_label[i], meaning that
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the penalty of class weight_label[i] is scaled by a factor of weight[i].
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If you do not want to change penalty for any of the classes,
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just set nr_weight to 0.
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*NOTE* Because svm_model contains pointers to svm_problem, you can
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not free the memory used by svm_problem if you are still using the
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svm_model produced by svm_train().
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*NOTE* To avoid wrong parameters, svm_check_parameter() should be
|
||
|
called before svm_train().
|
||
|
|
||
|
- Function: double svm_predict(const struct svm_model *model,
|
||
|
const struct svm_node *x);
|
||
|
|
||
|
This function does classification or regression on a test vector x
|
||
|
given a model.
|
||
|
|
||
|
For a classification model, the predicted class for x is returned.
|
||
|
For a regression model, the function value of x calculated using
|
||
|
the model is returned. For an one-class model, +1 or -1 is
|
||
|
returned.
|
||
|
|
||
|
- Function: void svm_cross_validation(const struct svm_problem *prob,
|
||
|
const struct svm_parameter *param, int nr_fold, double *target);
|
||
|
|
||
|
This function conducts cross validation. Data are separated to
|
||
|
nr_fold folds. Under given parameters, sequentially each fold is
|
||
|
validated using the model from training the remaining. Predicted
|
||
|
labels (of all prob's instances) in the validation process are
|
||
|
stored in the array called target.
|
||
|
|
||
|
The format of svm_prob is same as that for svm_train().
|
||
|
|
||
|
- Function: int svm_get_svm_type(const struct svm_model *model);
|
||
|
|
||
|
This function gives svm_type of the model. Possible values of
|
||
|
svm_type are defined in svm.h.
|
||
|
|
||
|
- Function: int svm_get_nr_class(const svm_model *model);
|
||
|
|
||
|
For a classification model, this function gives the number of
|
||
|
classes. For a regression or an one-class model, 2 is returned.
|
||
|
|
||
|
- Function: void svm_get_labels(const svm_model *model, int* label)
|
||
|
|
||
|
For a classification model, this function outputs the name of
|
||
|
labels into an array called label. For regression and one-class
|
||
|
models, label is unchanged.
|
||
|
|
||
|
- Function: double svm_get_svr_probability(const struct svm_model *model);
|
||
|
|
||
|
For a regression model with probability information, this function
|
||
|
outputs a value sigma > 0. For test data, we consider the
|
||
|
probability model: target value = predicted value + z, z: Laplace
|
||
|
distribution e^(-|z|/sigma)/(2sigma)
|
||
|
|
||
|
If the model is not for svr or does not contain required
|
||
|
information, 0 is returned.
|
||
|
|
||
|
- Function: void svm_predict_values(const svm_model *model,
|
||
|
const svm_node *x, double* dec_values)
|
||
|
|
||
|
This function gives decision values on a test vector x given a
|
||
|
model.
|
||
|
|
||
|
For a classification model with nr_class classes, this function
|
||
|
gives nr_class*(nr_class-1)/2 decision values in the array
|
||
|
dec_values, where nr_class can be obtained from the function
|
||
|
svm_get_nr_class. The order is label[0] vs. label[1], ...,
|
||
|
label[0] vs. label[nr_class-1], label[1] vs. label[2], ...,
|
||
|
label[nr_class-2] vs. label[nr_class-1], where label can be
|
||
|
obtained from the function svm_get_labels.
|
||
|
|
||
|
For a regression model, label[0] is the function value of x
|
||
|
calculated using the model. For one-class model, label[0] is +1 or
|
||
|
-1.
|
||
|
|
||
|
- Function: double svm_predict_probability(const struct svm_model *model,
|
||
|
const struct svm_node *x, double* prob_estimates);
|
||
|
|
||
|
This function does classification or regression on a test vector x
|
||
|
given a model with probability information.
|
||
|
|
||
|
For a classification model with probability information, this
|
||
|
function gives nr_class probability estimates in the array
|
||
|
prob_estimates. nr_class can be obtained from the function
|
||
|
svm_get_nr_class. The class with the highest probability is
|
||
|
returned. For regression/one-class SVM, the array prob_estimates
|
||
|
is unchanged and the returned value is the same as that of
|
||
|
svm_predict.
|
||
|
|
||
|
- Function: const char *svm_check_parameter(const struct svm_problem *prob,
|
||
|
const struct svm_parameter *param);
|
||
|
|
||
|
This function checks whether the parameters are within the feasible
|
||
|
range of the problem. This function should be called before calling
|
||
|
svm_train() and svm_cross_validation(). It returns NULL if the
|
||
|
parameters are feasible, otherwise an error message is returned.
|
||
|
|
||
|
- Function: int svm_check_probability_model(const struct svm_model *model);
|
||
|
|
||
|
This function checks whether the model contains required
|
||
|
information to do probability estimates. If so, it returns
|
||
|
+1. Otherwise, 0 is returned. This function should be called
|
||
|
before calling svm_get_svr_probability and
|
||
|
svm_predict_probability.
|
||
|
|
||
|
- Function: int svm_save_model(const char *model_file_name,
|
||
|
const struct svm_model *model);
|
||
|
|
||
|
This function saves a model to a file; returns 0 on success, or -1
|
||
|
if an error occurs.
|
||
|
|
||
|
- Function: struct svm_model *svm_load_model(const char *model_file_name);
|
||
|
|
||
|
This function returns a pointer to the model read from the file,
|
||
|
or a null pointer if the model could not be loaded.
|
||
|
|
||
|
- Function: void svm_destroy_model(struct svm_model *model);
|
||
|
|
||
|
This function frees the memory used by a model.
|
||
|
|
||
|
- Function: void svm_destroy_param(struct svm_parameter *param);
|
||
|
|
||
|
This function frees the memory used by a parameter set.
|
||
|
|
||
|
Java Version
|
||
|
============
|
||
|
|
||
|
The pre-compiled java class archive `libsvm.jar' and its source files are
|
||
|
in the java directory. To run the programs, use
|
||
|
|
||
|
java -classpath libsvm.jar svm_train <arguments>
|
||
|
java -classpath libsvm.jar svm_predict <arguments>
|
||
|
java -classpath libsvm.jar svm_toy
|
||
|
java -classpath libsvm.jar svm_scale <arguments>
|
||
|
|
||
|
Note that you need Java 1.5 (5.0) or above to run it.
|
||
|
|
||
|
You may need to add Java runtime library (like classes.zip) to the classpath.
|
||
|
You may need to increase maximum Java heap size.
|
||
|
|
||
|
Library usages are similar to the C version. These functions are available:
|
||
|
|
||
|
public class svm {
|
||
|
public static final int LIBSVM_VERSION=286;
|
||
|
public static svm_model svm_train(svm_problem prob, svm_parameter param);
|
||
|
public static void svm_cross_validation(svm_problem prob, svm_parameter param, int nr_fold, double[] target);
|
||
|
public static int svm_get_svm_type(svm_model model);
|
||
|
public static int svm_get_nr_class(svm_model model);
|
||
|
public static void svm_get_labels(svm_model model, int[] label);
|
||
|
public static double svm_get_svr_probability(svm_model model);
|
||
|
public static void svm_predict_values(svm_model model, svm_node[] x, double[] dec_values);
|
||
|
public static double svm_predict(svm_model model, svm_node[] x);
|
||
|
public static double svm_predict_probability(svm_model model, svm_node[] x, double[] prob_estimates);
|
||
|
public static void svm_save_model(String model_file_name, svm_model model) throws IOException
|
||
|
public static svm_model svm_load_model(String model_file_name) throws IOException
|
||
|
public static String svm_check_parameter(svm_problem prob, svm_parameter param);
|
||
|
public static int svm_check_probability_model(svm_model model);
|
||
|
}
|
||
|
|
||
|
The library is in the "libsvm" package.
|
||
|
Note that in Java version, svm_node[] is not ended with a node whose index = -1.
|
||
|
|
||
|
|
||
|
Building Windows Binaries
|
||
|
=========================
|
||
|
|
||
|
Windows binaries are in the directory `windows'. To build them via
|
||
|
Visual C++, use the following steps:
|
||
|
|
||
|
1. Open a DOS command box (or Visual Studio Command Prompt) and change
|
||
|
to libsvm directory. If environment variables of VC++ have not been
|
||
|
set, type
|
||
|
|
||
|
"C:\Program Files\Microsoft Visual Studio 8\VC\bin\vcvars32.bat"
|
||
|
|
||
|
You may have to modify the above according which version of VC++ or
|
||
|
where it is installed.
|
||
|
|
||
|
2. Type
|
||
|
|
||
|
nmake -f Makefile.win clean all
|
||
|
|
||
|
3. (optional) To build python interface, download and install Python.
|
||
|
Edit Makefile.win and change PYTHON_INC and PYTHON_LIB to your python
|
||
|
installation. Type
|
||
|
|
||
|
nmake -f Makefile.win python
|
||
|
|
||
|
and then copy windows\python\svmc.pyd to the python directory.
|
||
|
|
||
|
Another way is to build them from Visual C++ environment. See details
|
||
|
in libsvm FAQ.
|
||
|
|
||
|
- Additional Tools: Sub-sampling, Parameter Selection, Format checking, etc.
|
||
|
============================================================================
|
||
|
|
||
|
See the README file in the tools directory.
|
||
|
|
||
|
Python Interface
|
||
|
================
|
||
|
|
||
|
See the README file in python directory.
|
||
|
|
||
|
Additional Information
|
||
|
======================
|
||
|
|
||
|
If you find LIBSVM helpful, please cite it as
|
||
|
|
||
|
Chih-Chung Chang and Chih-Jen Lin, LIBSVM: a library for
|
||
|
support vector machines, 2001.
|
||
|
Software available at http://www.csie.ntu.edu.tw/~cjlin/libsvm
|
||
|
|
||
|
LIBSVM implementation document is available at
|
||
|
http://www.csie.ntu.edu.tw/~cjlin/papers/libsvm.pdf
|
||
|
|
||
|
For any questions and comments, please email cjlin@csie.ntu.edu.tw
|
||
|
|
||
|
Acknowledgments:
|
||
|
This work was supported in part by the National Science
|
||
|
Council of Taiwan via the grant NSC 89-2213-E-002-013.
|
||
|
The authors thank their group members and users
|
||
|
for many helpful discussions and comments. They are listed in
|
||
|
http://www.csie.ntu.edu.tw/~cjlin/libsvm/acknowledgements
|
||
|
|