func TestTrainGaussian(t *testing.T) {
if testing.Short() {
t.Skip("skipping test in short mode.")
}
dim := 8
mean := []float64{0.1, 0.2, 0.3, 0.4, 1, 1, 1, 1}
std := []float64{0.5, 0.5, 0.5, 0.5, 0.1, 0.2, 0.3, 0.4}
g := NewModel(dim, Name("test training"))
r := rand.New(rand.NewSource(33))
for i := 0; i < 2000000; i++ {
rv := model.RandNormalVector(r, mean, std)
g.UpdateOne(model.F64ToObs(rv, ""), 1.0)
}
g.Estimate()
t.Logf("Mean: \n%+v", g.Mean)
t.Logf("STD: \n%+v", g.StdDev)
for i, _ := range mean {
if !gjoa.Comparef64(mean[i], g.Mean[i], tolerance) {
t.Errorf("Wrong Mean[%d]. Expected: [%f], Got: [%f]",
i, mean[i], g.Mean[i])
}
if !gjoa.Comparef64(std[i], g.StdDev[i], tolerance) {
t.Errorf("Wrong STD[%d]. Expected: [%f], Got: [%f]",
i, std[i], g.StdDev[i])
}
}
}
func TestTrainGaussian2(t *testing.T) {
if testing.Short() {
t.Skip("skipping test in short mode.")
}
dim := 8
numSamp := 2000000
// Use a FloatObserver.
values := make([][]float64, numSamp, numSamp)
labels := make([]model.SimpleLabel, numSamp, numSamp)
mean := []float64{0.1, 0.2, 0.3, 0.4, 1, 1, 1, 1}
std := []float64{0.5, 0.5, 0.5, 0.5, 0.1, 0.2, 0.3, 0.4}
g := NewModel(dim, Name("test training"))
r := rand.New(rand.NewSource(33))
for i := 0; i < numSamp; i++ {
rv := model.RandNormalVector(r, mean, std)
values[i] = rv
}
fo, err := model.NewFloatObserver(values, labels)
if err != nil {
t.Fatal(err)
}
g.Update(fo, model.NoWeight)
g.Estimate()
t.Logf("Mean: \n%+v", g.Mean)
t.Logf("STD: \n%+v", g.StdDev)
for i, _ := range mean {
if !gjoa.Comparef64(mean[i], g.Mean[i], tolerance) {
t.Errorf("Wrong Mean[%d]. Expected: [%f], Got: [%f]",
i, mean[i], g.Mean[i])
}
if !gjoa.Comparef64(std[i], g.StdDev[i], tolerance) {
t.Errorf("Wrong STD[%d]. Expected: [%f], Got: [%f]",
i, std[i], g.StdDev[i])
}
}
}
// Another version of previous test.
func TestTrainGMM2(t *testing.T) {
dim := 2
numComp := 2
numIter := 10
numObs := 2000000
gmm0 := MakeGMM(t)
gmm := NewModel(dim, numComp, Name("mygmm"))
t.Logf("Initial Weights: \n%+v", gmm.Weights)
mean01 := []float64{2.5, 3}
sd01 := []float64{0.70710678118, 0.70710678118}
gmm = RandomModel(mean01, sd01, numComp, "mygmm", 99)
for iter := 0; iter < numIter; iter++ {
t.Logf("Starting GMM training iteration %d.", iter)
// Reset all counters..
gmm.Clear()
for i := 0; i < numObs; i++ {
// random from gmm0
// rv := gmm0.Sample().(model.FloatObs)
// gmm.UpdateOne(rv.Value().([]float64), 1.0)
rv := gmm0.Sample()
gmm.UpdateOne(rv, 1.0)
}
gmm.Estimate()
t.Logf("Iter: %d", iter)
t.Logf("GMM: %+v", gmm)
t.Logf("Weights: \n%+v", gmm.Weights)
t.Logf("Likelihood: %f", gmm.Likelihood)
t.Logf("Num Samples: %f", gmm.NSamples)
for _, c := range gmm.Components {
t.Logf("%s: Mean: \n%+v", c.Name(), c.Mean)
t.Logf("%s: STD: \n%+v", c.Name(), c.StdDev)
}
}
// Checking results
// The components can be in different orders
if gjoa.Comparef64(1.0, gmm.Components[0].Mean[0], epsilon) {
CompareGaussians(t, gmm0.Components[0], gmm.Components[0], epsilon)
CompareGaussians(t, gmm0.Components[1], gmm.Components[1], epsilon)
} else {
CompareGaussians(t, gmm0.Components[1], gmm.Components[0], epsilon)
CompareGaussians(t, gmm0.Components[0], gmm.Components[1], epsilon)
}
}
func TestGaussian(t *testing.T) {
mean := []float64{0.5, 1, 2}
sd := []float64{1, 1, 1}
g := NewModel(3, Name("testing"), Mean(mean), StdDev(sd))
obs := []float64{1, 1, 1}
p := g.logProb(obs)
t.Logf("LogProb: %f", p)
t.Logf("Prob: %f", g.prob(obs))
expected := -3.3818
if !gjoa.Comparef64(expected, p, tolerance) {
t.Errorf("Wrong LogProb. Expected: [%f], Got: [%f]", expected, p)
}
}
// Trains a GMM as follows:
// 1 - Estimate a Gaussian model params for the training set.
// 2 - Use the mean and sd of the training set to generate
// a random GMM to be used as seed.
// 3 - Run several iterations of the GMM max likelihood training algorithm
// to estimate the GMM weights and the Gaussian component mean, and
// variance vectors.
func TestTrainGMM(t *testing.T) {
var seed int64 = 33
numComp := 2
numIter := 10
numObs := 1000000
mean0 := []float64{1, 2}
std0 := []float64{0.3, 0.3}
mean1 := []float64{4, 4}
std1 := []float64{1, 1}
dim := len(mean0)
gmm := NewModel(dim, numComp, Name("mygmm"))
t.Logf("Initial Weights: \n%+v", gmm.Weights)
{
// Estimate mean variance of the data.
g := gaussian.NewModel(dim, gaussian.Name("test training"))
r := rand.New(rand.NewSource(seed))
for i := 0; i < numObs; i++ {
rv, err := model.RandNormalVector(mean0, std0, r)
if err != nil {
t.Fatal(err)
}
g.UpdateOne(model.F64ToObs(rv), 1.0)
rv, err = model.RandNormalVector(mean1, std1, r)
if err != nil {
t.Fatal(err)
}
g.UpdateOne(model.F64ToObs(rv), 1.0)
}
g.Estimate()
t.Logf("Gaussian Model for training set:")
t.Logf("Mean: \n%+v", g.Mean)
t.Logf("SD: \n%+v", g.StdDev)
// Use the estimated mean and sd to generate a seed GMM.
gmm = RandomModel(g.Mean, g.StdDev, numComp,
"mygmm", 99)
t.Logf("Random GMM: %+v.", gmm)
t.Logf("Component 0: %+v.", gmm.Components[0])
t.Logf("Component 1: %+v.", gmm.Components[1])
}
for iter := 0; iter < numIter; iter++ {
t.Logf("Starting GMM training iteration %d.", iter)
// Reset the same random number generator to make sure we use the
// same observations in each iterations.
r := rand.New(rand.NewSource(seed))
// Update GMM stats.
for i := 0; i < numObs; i++ {
rv, err := model.RandNormalVector(mean0, std0, r)
if err != nil {
t.Fatal(err)
}
gmm.UpdateOne(model.F64ToObs(rv), 1.0)
rv, err = model.RandNormalVector(mean1, std1, r)
if err != nil {
t.Fatal(err)
}
gmm.UpdateOne(model.F64ToObs(rv), 1.0)
}
// Estimates GMM params.
gmm.Estimate()
t.Logf("Iter: %d", iter)
t.Logf("GMM: %+v", gmm)
t.Logf("Weights: \n%+v", gmm.Weights)
t.Logf("Likelihood: %f", gmm.Likelihood)
t.Logf("Num Samples: %f", gmm.NSamples)
for _, c := range gmm.Components {
t.Logf("%s: Mean: \n%+v", c.Name(), c.Mean)
t.Logf("%s: STD: \n%+v", c.Name(), c.StdDev)
}
// Prepare for next iteration.
gmm.Clear()
}
for i := 0; i < dim; i++ {
g := gmm.Components[1]
if !gjoa.Comparef64(mean0[i], g.Mean[i], epsilon) {
t.Errorf("Wrong Mean[%d]. Expected: [%f], Got: [%f]",
i, mean0[i], g.Mean[i])
}
if !gjoa.Comparef64(std0[i], g.StdDev[i], epsilon) {
t.Errorf("Wrong STD[%d]. Expected: [%f], Got: [%f]",
i, std0[i], g.StdDev[i])
}
}
for i := 0; i < dim; i++ {
g := gmm.Components[0]
if !gjoa.Comparef64(mean1[i], g.Mean[i], epsilon) {
t.Errorf("Wrong Mean[%d]. Expected: [%f], Got: [%f]",
i, mean1[i], g.Mean[i])
}
if !gjoa.Comparef64(std1[i], g.StdDev[i], epsilon) {
t.Errorf("Wrong STD[%d]. Expected: [%f], Got: [%f]",
i, std1[i], g.StdDev[i])
}
}
if !gjoa.Comparef64(0.5, gmm.Weights[0], epsilon) {
t.Errorf("Wrong weights[0]. Expected: [%f], Got: [%f]",
0.5, gmm.Weights[0])
}
if !gjoa.Comparef64(0.5, gmm.Weights[1], epsilon) {
t.Errorf("Wrong weights[0]. Expected: [%f], Got: [%f]",
0.5, gmm.Weights[1])
}
}