Demo SVM
Demos you can play with
Thanks to the gaml library and its gaml-libsvm wrapper with libsvm, you can experiment SVMs easily. To do so, download and uncompress DemoLibSVM-003.tar.gz. The following are examples of what you can get.
Classification
#define NB_SAMPLES 1000
#define SPACE_FILTER filter_blobs
#define ORACLE oracle_split
#define MISCLASSIFICATION_RATIO 0
params.svm_type = C_SVC;
params.kernel_type = LINEAR;
params.C = 1;
params.eps = 1e-8; // numerical tolerence
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params.C = .001;
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params.svm_type = NU_SVC;
params.nu = .2;
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#define NB_SAMPLES 1000
#define SPACE_FILTER filter_true
#define ORACLE oracle_checker
#define CHECKER_PERIOD .1
#define MISCLASSIFICATION_RATIO 0
params.svm_type = NU_SVC;
params.nu = .1;
params.kernel_type = POLY;
params.gamma = 1;
params.degree = 3;
params.coef0 = 1;
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params.svm_type = NU_SVC;
params.nu = .1;
params.kernel_type = RBF;
params.gamma = 1;
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#define CHECKER_PERIOD 1
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#define NB_SAMPLES 100
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params.gamma = 10;
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One-class
#define NB_SAMPLES 100
#define SPACE_FILTER filter_blobs
params.svm_type = ONE_CLASS;
params.kernel_type = RBF;
params.gamma = .05;
params.nu = .05;
params.eps = 1e-8; // numerical tolerence
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#define SPACE_FILTER filter_banana
params.gamma = .1;
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Regression 1D
#define NB_SAMPLES 100
#define ORACLE oracle_line
#define NOISE_AMPLITUDE 0
params.svm_type = EPSILON_SVR;
params.kernel_type = LINEAR;
params.p = .2; // epsilon
params.C = 1;
params.eps = 1e-8; // numerical tolerence
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#define ORACLE oracle_sinus
#define NOISE_AMPLITUDE 0.2
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params.kernel_type = POLY;
params.gamma = 1;
params.degree = 3;
params.coef0 = 1;
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params.kernel_type = RBF;
params.gamma = 1;
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#define NB_SAMPLES 10
params.kernel_type = RBF;
params.gamma = 10;
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Regression 2D
#define NB_SAMPLES 150
#define ORACLE oracle_wave
#define NOISE_AMPLITUDE 0
params.svm_type = EPSILON_SVR;
params.kernel_type = RBF;
params.gamma = .75;
params.p = .2; // epsilon
params.C = 1;
params.eps = 1e-8; // numerical tolerence
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params.svm_type = NU_SVR;
params.nu = .5;
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#define NOISE_AMPLITUDE 0.1
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Misc
Effect of C and σ on classification
When C varies
When σ varies