#region License Information
/* HeuristicLab
* Copyright (C) Heuristic and Evolutionary Algorithms Laboratory (HEAL)
*
* This file is part of HeuristicLab.
*
* HeuristicLab 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.
*
* HeuristicLab 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 HeuristicLab. If not, see .
*/
#endregion
using System;
using System.Collections.Generic;
using HeuristicLab.Common;
using HeuristicLab.Core;
using HeuristicLab.Data;
using HeuristicLab.Parameters;
using HEAL.Attic;
namespace HeuristicLab.Algorithms.DataAnalysis {
[StorableType("358BE57A-13C8-40BB-B344-217984D4EB0F")]
[Item(Name = "CovarianceRationalQuadraticIso",
Description = "Isotropic rational quadratic covariance function for Gaussian processes.")]
public sealed class CovarianceRationalQuadraticIso : ParameterizedNamedItem, ICovarianceFunction {
public IValueParameter ScaleParameter {
get { return (IValueParameter)Parameters["Scale"]; }
}
public IValueParameter InverseLengthParameter {
get { return (IValueParameter)Parameters["InverseLength"]; }
}
public IValueParameter ShapeParameter {
get { return (IValueParameter)Parameters["Shape"]; }
}
private bool HasFixedScaleParameter {
get { return ScaleParameter.Value != null; }
}
private bool HasFixedInverseLengthParameter {
get { return InverseLengthParameter.Value != null; }
}
private bool HasFixedShapeParameter {
get { return ShapeParameter.Value != null; }
}
[StorableConstructor]
private CovarianceRationalQuadraticIso(StorableConstructorFlag _) : base(_) {
}
private CovarianceRationalQuadraticIso(CovarianceRationalQuadraticIso original, Cloner cloner)
: base(original, cloner) {
}
public CovarianceRationalQuadraticIso()
: base() {
Name = ItemName;
Description = ItemDescription;
Parameters.Add(new OptionalValueParameter("Scale", "The scale parameter of the isometric rational quadratic covariance function."));
Parameters.Add(new OptionalValueParameter("InverseLength", "The inverse length parameter of the isometric rational quadratic covariance function."));
Parameters.Add(new OptionalValueParameter("Shape", "The shape parameter (alpha) of the isometric rational quadratic covariance function."));
}
public override IDeepCloneable Clone(Cloner cloner) {
return new CovarianceRationalQuadraticIso(this, cloner);
}
public int GetNumberOfParameters(int numberOfVariables) {
return (HasFixedScaleParameter ? 0 : 1) +
(HasFixedShapeParameter ? 0 : 1) +
(HasFixedInverseLengthParameter ? 0 : 1);
}
public void SetParameter(double[] p) {
double scale, shape, inverseLength;
GetParameterValues(p, out scale, out shape, out inverseLength);
ScaleParameter.Value = new DoubleValue(scale);
ShapeParameter.Value = new DoubleValue(shape);
InverseLengthParameter.Value = new DoubleValue(inverseLength);
}
private void GetParameterValues(double[] p, out double scale, out double shape, out double inverseLength) {
int c = 0;
// gather parameter values
if (HasFixedInverseLengthParameter) {
inverseLength = InverseLengthParameter.Value.Value;
} else {
inverseLength = 1.0 / Math.Exp(p[c]);
c++;
}
if (HasFixedScaleParameter) {
scale = ScaleParameter.Value.Value;
} else {
scale = Math.Exp(2 * p[c]);
c++;
}
if (HasFixedShapeParameter) {
shape = ShapeParameter.Value.Value;
} else {
shape = Math.Exp(p[c]);
c++;
}
if (p.Length != c) throw new ArgumentException("The length of the parameter vector does not match the number of free parameters for CovarianceRationalQuadraticIso", "p");
}
public ParameterizedCovarianceFunction GetParameterizedCovarianceFunction(double[] p, int[] columnIndices) {
double scale, shape, inverseLength;
GetParameterValues(p, out scale, out shape, out inverseLength);
var fixedInverseLength = HasFixedInverseLengthParameter;
var fixedScale = HasFixedScaleParameter;
var fixedShape = HasFixedShapeParameter;
// create functions
var cov = new ParameterizedCovarianceFunction();
cov.Covariance = (x, i, j) => {
double d = i == j
? 0.0
: Util.SqrDist(x, i, j, columnIndices, inverseLength);
return scale * Math.Pow(1 + 0.5 * d / shape, -shape);
};
cov.CrossCovariance = (x, xt, i, j) => {
double d = Util.SqrDist(x, i, xt, j, columnIndices, inverseLength);
return scale * Math.Pow(1 + 0.5 * d / shape, -shape);
};
cov.CovarianceGradient = (x, i, j) => GetGradient(x, i, j, columnIndices, scale, shape, inverseLength, fixedInverseLength, fixedScale, fixedShape);
return cov;
}
private static IList GetGradient(double[,] x, int i, int j, int[] columnIndices, double scale, double shape, double inverseLength,
bool fixedInverseLength, bool fixedScale, bool fixedShape) {
double d = i == j
? 0.0
: Util.SqrDist(x, i, j, columnIndices, inverseLength);
double b = 1 + 0.5 * d / shape;
var g = new List(3);
if (!fixedInverseLength) g.Add(scale * Math.Pow(b, -shape - 1) * d);
if (!fixedScale) g.Add(2 * scale * Math.Pow(b, -shape));
if (!fixedShape) g.Add(scale * Math.Pow(b, -shape) * (0.5 * d / b - shape * Math.Log(b)));
return g;
}
}
}