/*******************************************************************************
* Copyright (c) 2010 Haifeng Li
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*******************************************************************************/
package smile.demo.stat.distribution;
import java.awt.Color;
import java.awt.GridLayout;
import java.util.ArrayList;
import java.util.List;
import javax.swing.JFrame;
import javax.swing.JPanel;
import smile.math.Math;
import smile.plot.Histogram;
import smile.plot.PlotCanvas;
import smile.plot.QQPlot;
import smile.stat.distribution.ExponentialDistribution;
import smile.stat.distribution.ExponentialFamilyMixture;
import smile.stat.distribution.GammaDistribution;
import smile.stat.distribution.GaussianDistribution;
import smile.stat.distribution.Mixture;
/**
*
* @author Haifeng Li
*/
@SuppressWarnings("serial")
public class ExponentialFamilyMixtureDemo extends JPanel {
public ExponentialFamilyMixtureDemo() {
super(new GridLayout(1, 2));
// Mixture of Gaussian, Exponential, and Gamma.
double[] data = new double[2000];
GaussianDistribution gaussian = new GaussianDistribution(-2.0, 1.0);
for (int i = 0; i < 500; i++)
data[i] = gaussian.rand();
ExponentialDistribution exp = new ExponentialDistribution(0.8);
for (int i = 500; i < 1000; i++)
data[i] = exp.rand();
GammaDistribution gamma = new GammaDistribution(2.0, 3.0);
for (int i = 1000; i < 2000; i++)
data[i] = gamma.rand();
List m = new ArrayList<>();
Mixture.Component c = new Mixture.Component();
c.priori = 0.25;
c.distribution = new GaussianDistribution(0.0, 1.0);
m.add(c);
c = new Mixture.Component();
c.priori = 0.25;
c.distribution = new ExponentialDistribution(1.0);
m.add(c);
c = new Mixture.Component();
c.priori = 0.5;
c.distribution = new GammaDistribution(1.0, 2.0);
m.add(c);
ExponentialFamilyMixture mixture = new ExponentialFamilyMixture(m, data);
PlotCanvas canvas = Histogram.plot(data, 50);
canvas.setTitle("Mixture of Gaussian, Exponential, and Gamma");
add(canvas);
double width = (Math.max(data) - Math.min(data)) / 50;
double[][] p = new double[400][2];
for (int i = 0; i < p.length; i++) {
p[i][0] = -10 + i*0.1;
p[i][1] = mixture.p(p[i][0]) * width;
}
canvas.line(p, Color.RED);
canvas = QQPlot.plot(data, mixture);
canvas.setTitle("Q-Q Plot");
add(canvas);
}
@Override
public String toString() {
return "Exponential Family Mixture";
}
public static void main(String[] args) {
// Mixture of Gaussian, Exponential, and Gamma.
double[] data = new double[2000];
GaussianDistribution gaussian = new GaussianDistribution(-2.0, 1.0);
for (int i = 0; i < 500; i++)
data[i] = gaussian.rand();
ExponentialDistribution exp = new ExponentialDistribution(0.8);
for (int i = 500; i < 1000; i++)
data[i] = exp.rand();
GammaDistribution gamma = new GammaDistribution(2.0, 3.0);
for (int i = 1000; i < 2000; i++)
data[i] = gamma.rand();
List m = new ArrayList<>();
Mixture.Component c = new Mixture.Component();
c.priori = 0.25;
c.distribution = new GaussianDistribution(0.0, 1.0);
m.add(c);
c = new Mixture.Component();
c.priori = 0.25;
c.distribution = new ExponentialDistribution(1.0);
m.add(c);
c = new Mixture.Component();
c.priori = 0.25;
c.distribution = new GammaDistribution(1.0, 2.0);
m.add(c);
ExponentialFamilyMixture mixture = new ExponentialFamilyMixture(m, data);
System.out.println(mixture);
JFrame frame = new JFrame("Mixture of Exponential Family Distributions");
PlotCanvas canvas = Histogram.plot(data, 50);
frame.add(canvas);
double width = (Math.max(data) - Math.min(data)) / 50;
double[][] p = new double[400][2];
for (int i = 0; i < p.length; i++) {
p[i][0] = -10 + i*0.1;
p[i][1] = mixture.p(p[i][0]) * width;
}
canvas.line(p, Color.RED);
frame.add(QQPlot.plot(data, mixture));
frame.setVisible(true);
}
}
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