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weka.classifiers.functions.supportVector.Puk Maven / Gradle / Ivy

/*
 *   This program 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 program 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 this program.  If not, see .
 */

/*
 *    Puk.java
 *    Copyright (C) 2007-2012 University of Waikato, Hamilton, New Zealand
 *
 */

package weka.classifiers.functions.supportVector;

import java.util.Collections;
import java.util.Enumeration;
import java.util.Vector;

import weka.core.Capabilities;
import weka.core.Capabilities.Capability;
import weka.core.Instance;
import weka.core.Instances;
import weka.core.Option;
import weka.core.RevisionUtils;
import weka.core.TechnicalInformation;
import weka.core.TechnicalInformation.Field;
import weka.core.TechnicalInformation.Type;
import weka.core.TechnicalInformationHandler;
import weka.core.Utils;

/**
 *  The Pearson VII function-based universal kernel.

 * 

 * For more information see:

 * 

 * B. Uestuen, W.J. Melssen, L.M.C. Buydens (2006). Facilitating the application
 * of Support Vector Regression by using a universal Pearson VII function based
 * kernel. Chemometrics and Intelligent Laboratory Systems. 81:29-40.
 * 

 * 
 * 
 *  Valid options are:
 * 

 * 
 * 
 * -D
 *  Enables debugging output (if available) to be printed.
 *  (default: off)
 * 
 *
 * 
 * -C <num>
 *  The size of the cache (a prime number), 0 for full cache and 
 *  -1 to turn it off.
 *  (default: 250007)
 * 
 * 
 * 
 * -O <num>
 *  The Omega parameter.
 *  (default: 1.0)
 * 
 * 
 * 
 * -S <num>
 *  The Sigma parameter.
 *  (default: 1.0)
 * 
 * 
 * 
 * 
 * @author Bernhard Pfahringer ([email protected])
 * @version $Revision: 14512 $
 */
public class Puk extends CachedKernel implements TechnicalInformationHandler {

  /** for serialization */
  private static final long serialVersionUID = 1682161522559978851L;

  /** The precalculated dotproducts of <inst_i,inst_i> */
  protected double m_kernelPrecalc[];

  /** Omega for the Puk kernel. */
  protected double m_omega = 1.0;

  /** Sigma for the Puk kernel. */
  protected double m_sigma = 1.0;

  /** Cached factor for the Puk kernel. */
  protected double m_factor = 1.0;

  /**
   * default constructor - does nothing.
   */
  public Puk() {
    super();
  }

  /**
   * Constructor. Initializes m_kernelPrecalc[].
   * 
   * @param data the data to use
   * @param cacheSize the size of the cache
   * @param omega the exponent
   * @param sigma the bandwidth
   * @throws Exception if something goes wrong
   */
  public Puk(Instances data, int cacheSize, double omega, double sigma) throws Exception {

    super();

    setCacheSize(cacheSize);
    setOmega(omega);
    setSigma(sigma);

    buildKernel(data);
  }

  /**
   * Returns a string describing the kernel
   * 
   * @return a description suitable for displaying in the explorer/experimenter
   *         gui
   */
  @Override
  public String globalInfo() {
    return "The Pearson VII function-based universal kernel.\n\n"
      + "For more information see:\n\n" + getTechnicalInformation().toString();
  }

  /**
   * Returns an instance of a TechnicalInformation object, containing detailed
   * information about the technical background of this class, e.g., paper
   * reference or book this class is based on.
   * 
   * @return the technical information about this class
   */
  @Override
  public TechnicalInformation getTechnicalInformation() {
    TechnicalInformation result;

    result = new TechnicalInformation(Type.ARTICLE);
    result.setValue(Field.AUTHOR,
      "B. Uestuen and W.J. Melssen and L.M.C. Buydens");
    result.setValue(Field.YEAR, "2006");
    result
      .setValue(
        Field.TITLE,
        "Facilitating the application of Support Vector Regression by using a universal Pearson VII function based kernel");
    result.setValue(Field.JOURNAL,
      "Chemometrics and Intelligent Laboratory Systems");
    result.setValue(Field.VOLUME, "81");
    result.setValue(Field.PAGES, "29-40");
    result.setValue(Field.PDF,
      "http://www.cac.science.ru.nl/research/publications/PDFs/ustun2006.pdf");

    return result;
  }

  /**
   * Returns an enumeration describing the available options.
   * 
   * @return an enumeration of all the available options.
   */
  @Override
  public Enumeration listOptions() {
    Vector result = new Vector();

    result.addElement(new Option("\tThe Omega parameter.\n"
      + "\t(default: 1.0)", "O", 1, "-O "));

    result.addElement(new Option("\tThe Sigma parameter.\n"
      + "\t(default: 1.0)", "S", 1, "-S "));

    result.addAll(Collections.list(super.listOptions()));

    return result.elements();
  }

  /**
   * Parses a given list of options.
   * 

   * 
   *  Valid options are:
   * 

   * 
   * 
   * -D
   *  Enables debugging output (if available) to be printed.
   *  (default: off)
   * 
   *
   * 
   * -C <num>
   *  The size of the cache (a prime number), 0 for full cache and 
   *  -1 to turn it off.
   *  (default: 250007)
   * 
   * 
   * 
   * -O <num>
   *  The Omega parameter.
   *  (default: 1.0)
   * 
   * 
   * 
   * -S <num>
   *  The Sigma parameter.
   *  (default: 1.0)
   * 
   * 
   * 
   * 
   * @param options the list of options as an array of strings
   * @throws Exception if an option is not supported
   */
  @Override
  public void setOptions(String[] options) throws Exception {
    String tmpStr;

    tmpStr = Utils.getOption('O', options);
    if (tmpStr.length() != 0) {
      setOmega(Double.parseDouble(tmpStr));
    } else {
      setOmega(1.0);
    }

    tmpStr = Utils.getOption('S', options);
    if (tmpStr.length() != 0) {
      setSigma(Double.parseDouble(tmpStr));
    } else {
      setSigma(1.0);
    }

    super.setOptions(options);
  }

  /**
   * Gets the current settings of the Kernel.
   * 
   * @return an array of strings suitable for passing to setOptions
   */
  @Override
  public String[] getOptions() {

    Vector result = new Vector();

    result.add("-O");
    result.add("" + getOmega());

    result.add("-S");
    result.add("" + getSigma());

    Collections.addAll(result, super.getOptions());

    return result.toArray(new String[result.size()]);
  }

  /**
   * returns the dot product
   * 
   * @param id1 the index of instance 1
   * @param id2 the index of instance 2
   * @param inst1 the instance 1 object
   * @return the dot product
   * @throws Exception if something goes wrong
   */
  @Override
  protected double evaluate(int id1, int id2, Instance inst1) throws Exception {

    if (id1 == id2) {
      return 1.0;
    } else {
      double precalc1;
      if (id1 == -1) {
        precalc1 = dotProd(inst1, inst1);
      } else {
        precalc1 = m_kernelPrecalc[id1];
      }
      Instance inst2 = m_data.instance(id2);
      double squaredDifference = -2.0 * dotProd(inst1, inst2) + precalc1
        + m_kernelPrecalc[id2];
      double intermediate = m_factor * Math.sqrt(squaredDifference);
      double result = 1.0 / Math.pow(1.0 + intermediate * intermediate,
        getOmega());
      return result;
    }
  }

  /**
   * Sets the omega value.
   * 
   * @param value the omega value
   */
  public void setOmega(double value) {
    m_omega = value;
    m_factor = computeFactor(m_omega, m_sigma);
  }

  /**
   * Gets the omega value.
   * 
   * @return the omega value
   */
  public double getOmega() {
    return m_omega;
  }

  /**
   * Returns the tip text for this property
   * 
   * @return tip text for this property suitable for displaying in the
   *         explorer/experimenter gui
   */
  public String omegaTipText() {
    return "The Omega value.";
  }

  /**
   * Sets the sigma value.
   * 
   * @param value the sigma value
   */
  public void setSigma(double value) {
    m_sigma = value;
    m_factor = computeFactor(m_omega, m_sigma);
  }

  /**
   * Gets the sigma value.
   * 
   * @return the sigma value
   */
  public double getSigma() {
    return m_sigma;
  }

  /**
   * Returns the tip text for this property
   * 
   * @return tip text for this property suitable for displaying in the
   *         explorer/experimenter gui
   */
  public String sigmaTipText() {
    return "The Sigma value.";
  }

  /**
   * computes the factor for curve-fitting (see equation (13) in paper)
   * 
   * @param omega the omega to use
   * @param sigma the sigma to use
   * @return the factor for curve-fitting
   */
  protected double computeFactor(double omega, double sigma) {
    double root = Math.sqrt(Math.pow(2.0, 1.0 / omega) - 1);
    return 2.0 * root / sigma;
  }

  /**
   * initializes variables etc.
   * 
   * @param data the data to use
   */
  @Override
  protected void initVars(Instances data) {
    super.initVars(data);

    m_factor = computeFactor(m_omega, m_sigma);
    m_kernelPrecalc = new double[data.numInstances()];
  }

  /**
   * Returns the Capabilities of this kernel.
   * 
   * @return the capabilities of this object
   * @see Capabilities
   */
  @Override
  public Capabilities getCapabilities() {
    Capabilities result = super.getCapabilities();
    result.disableAll();

    result.enable(Capability.NUMERIC_ATTRIBUTES);
    result.enableAllClasses();
    result.enable(Capability.MISSING_CLASS_VALUES);
    result.enable(Capability.NO_CLASS);

    return result;
  }

  /**
   * builds the kernel with the given data. Initializes the kernel cache. The
   * actual size of the cache in bytes is (64 * cacheSize).
   * 
   * @param data the data to base the kernel on
   * @throws Exception if something goes wrong
   */
  @Override
  public void buildKernel(Instances data) throws Exception {

    initVars(data);

    for (int i = 0; i < data.numInstances(); i++) {
      m_kernelPrecalc[i] = dotProd(data.instance(i), data.instance(i));
    }
  }

  /**
   * returns a string representation for the Kernel
   * 
   * @return a string representaiton of the kernel
   */
  @Override
  public String toString() {
    return "Puk kernel";
  }

  /**
   * Returns the revision string.
   * 
   * @return the revision
   */
  @Override
  public String getRevision() {
    return RevisionUtils.extract("$Revision: 14512 $");
  }
}