[8473] | 1 | #region License Information
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| 2 | /* HeuristicLab
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[12012] | 3 | * Copyright (C) 2002-2015 Heuristic and Evolutionary Algorithms Laboratory (HEAL)
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[8473] | 4 | *
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| 5 | * This file is part of HeuristicLab.
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| 6 | *
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| 7 | * HeuristicLab is free software: you can redistribute it and/or modify
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| 8 | * it under the terms of the GNU General Public License as published by
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| 9 | * the Free Software Foundation, either version 3 of the License, or
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| 10 | * (at your option) any later version.
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| 11 | *
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| 12 | * HeuristicLab is distributed in the hope that it will be useful,
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| 13 | * but WITHOUT ANY WARRANTY; without even the implied warranty of
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| 14 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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| 15 | * GNU General Public License for more details.
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| 16 | *
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| 17 | * You should have received a copy of the GNU General Public License
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| 18 | * along with HeuristicLab. If not, see <http://www.gnu.org/licenses/>.
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| 19 | */
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| 20 | #endregion
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| 21 |
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| 22 | using System;
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[8484] | 23 | using System.Collections.Generic;
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[8473] | 24 | using HeuristicLab.Common;
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| 25 | using HeuristicLab.Core;
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[8612] | 26 | using HeuristicLab.Data;
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[8982] | 27 | using HeuristicLab.Parameters;
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[8473] | 28 | using HeuristicLab.Persistence.Default.CompositeSerializers.Storable;
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| 29 |
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| 30 | namespace HeuristicLab.Algorithms.DataAnalysis {
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| 31 | [StorableClass]
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[8615] | 32 | [Item(Name = "CovarianceRationalQuadraticIso",
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[8473] | 33 | Description = "Isotropic rational quadratic covariance function for Gaussian processes.")]
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[8615] | 34 | public sealed class CovarianceRationalQuadraticIso : ParameterizedNamedItem, ICovarianceFunction {
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[8982] | 35 | public IValueParameter<DoubleValue> ScaleParameter {
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| 36 | get { return (IValueParameter<DoubleValue>)Parameters["Scale"]; }
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| 37 | }
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[8612] | 38 |
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[8982] | 39 | public IValueParameter<DoubleValue> InverseLengthParameter {
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| 40 | get { return (IValueParameter<DoubleValue>)Parameters["InverseLength"]; }
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| 41 | }
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[8473] | 42 |
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[8982] | 43 | public IValueParameter<DoubleValue> ShapeParameter {
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| 44 | get { return (IValueParameter<DoubleValue>)Parameters["Shape"]; }
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| 45 | }
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[10489] | 46 |
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| 47 | private bool HasFixedScaleParameter {
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| 48 | get { return ScaleParameter.Value != null; }
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| 49 | }
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| 50 | private bool HasFixedInverseLengthParameter {
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| 51 | get { return InverseLengthParameter.Value != null; }
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| 52 | }
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| 53 | private bool HasFixedShapeParameter {
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| 54 | get { return ShapeParameter.Value != null; }
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| 55 | }
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| 56 |
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| 57 |
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[8473] | 58 | [StorableConstructor]
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[8615] | 59 | private CovarianceRationalQuadraticIso(bool deserializing)
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[8473] | 60 | : base(deserializing) {
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| 61 | }
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| 62 |
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[8615] | 63 | private CovarianceRationalQuadraticIso(CovarianceRationalQuadraticIso original, Cloner cloner)
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[8473] | 64 | : base(original, cloner) {
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| 65 | }
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| 66 |
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[8615] | 67 | public CovarianceRationalQuadraticIso()
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[8473] | 68 | : base() {
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[8612] | 69 | Name = ItemName;
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| 70 | Description = ItemDescription;
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| 71 |
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[8982] | 72 | Parameters.Add(new OptionalValueParameter<DoubleValue>("Scale", "The scale parameter of the isometric rational quadratic covariance function."));
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| 73 | Parameters.Add(new OptionalValueParameter<DoubleValue>("InverseLength", "The inverse length parameter of the isometric rational quadratic covariance function."));
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| 74 | Parameters.Add(new OptionalValueParameter<DoubleValue>("Shape", "The shape parameter (alpha) of the isometric rational quadratic covariance function."));
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[8473] | 75 | }
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| 76 |
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| 77 | public override IDeepCloneable Clone(Cloner cloner) {
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[8615] | 78 | return new CovarianceRationalQuadraticIso(this, cloner);
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[8473] | 79 | }
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| 80 |
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[8982] | 81 | public int GetNumberOfParameters(int numberOfVariables) {
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[10489] | 82 | return (HasFixedScaleParameter ? 0 : 1) +
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| 83 | (HasFixedShapeParameter ? 0 : 1) +
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| 84 | (HasFixedInverseLengthParameter ? 0 : 1);
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[8612] | 85 | }
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| 86 |
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[8982] | 87 | public void SetParameter(double[] p) {
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| 88 | double scale, shape, inverseLength;
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| 89 | GetParameterValues(p, out scale, out shape, out inverseLength);
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| 90 | ScaleParameter.Value = new DoubleValue(scale);
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| 91 | ShapeParameter.Value = new DoubleValue(shape);
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| 92 | InverseLengthParameter.Value = new DoubleValue(inverseLength);
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[8612] | 93 | }
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| 94 |
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[8982] | 95 | private void GetParameterValues(double[] p, out double scale, out double shape, out double inverseLength) {
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| 96 | int c = 0;
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| 97 | // gather parameter values
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[10489] | 98 | if (HasFixedInverseLengthParameter) {
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[9108] | 99 | inverseLength = InverseLengthParameter.Value.Value;
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| 100 | } else {
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| 101 | inverseLength = 1.0 / Math.Exp(p[c]);
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| 102 | c++;
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| 103 | }
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[10489] | 104 | if (HasFixedScaleParameter) {
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[8982] | 105 | scale = ScaleParameter.Value.Value;
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| 106 | } else {
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| 107 | scale = Math.Exp(2 * p[c]);
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| 108 | c++;
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[8612] | 109 | }
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[10489] | 110 | if (HasFixedShapeParameter) {
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[8982] | 111 | shape = ShapeParameter.Value.Value;
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| 112 | } else {
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| 113 | shape = Math.Exp(p[c]);
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| 114 | c++;
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[8612] | 115 | }
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[8982] | 116 | if (p.Length != c) throw new ArgumentException("The length of the parameter vector does not match the number of free parameters for CovarianceRationalQuadraticIso", "p");
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[8473] | 117 | }
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| 118 |
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[13721] | 119 | public ParameterizedCovarianceFunction GetParameterizedCovarianceFunction(double[] p, int[] columnIndices) {
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[8982] | 120 | double scale, shape, inverseLength;
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| 121 | GetParameterValues(p, out scale, out shape, out inverseLength);
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[10489] | 122 | var fixedInverseLength = HasFixedInverseLengthParameter;
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| 123 | var fixedScale = HasFixedScaleParameter;
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| 124 | var fixedShape = HasFixedShapeParameter;
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[8982] | 125 | // create functions
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| 126 | var cov = new ParameterizedCovarianceFunction();
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| 127 | cov.Covariance = (x, i, j) => {
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| 128 | double d = i == j
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| 129 | ? 0.0
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[13721] | 130 | : Util.SqrDist(x, i, j, columnIndices, inverseLength);
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[9111] | 131 | return scale * Math.Pow(1 + 0.5 * d / shape, -shape);
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[8982] | 132 | };
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| 133 | cov.CrossCovariance = (x, xt, i, j) => {
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[13721] | 134 | double d = Util.SqrDist(x, i, xt, j, columnIndices, inverseLength);
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[8982] | 135 | return scale * Math.Pow(1 + 0.5 * d / shape, -shape);
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| 136 | };
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[10489] | 137 | cov.CovarianceGradient = (x, i, j) => GetGradient(x, i, j, columnIndices, scale, shape, inverseLength, fixedInverseLength, fixedScale, fixedShape);
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[8982] | 138 | return cov;
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[8473] | 139 | }
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| 140 |
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[13784] | 141 | private static IList<double> GetGradient(double[,] x, int i, int j, int[] columnIndices, double scale, double shape, double inverseLength,
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[10489] | 142 | bool fixedInverseLength, bool fixedScale, bool fixedShape) {
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[8484] | 143 | double d = i == j
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| 144 | ? 0.0
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[13721] | 145 | : Util.SqrDist(x, i, j, columnIndices, inverseLength);
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[8473] | 146 |
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[8612] | 147 | double b = 1 + 0.5 * d / shape;
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[13784] | 148 | var g = new List<double>(3);
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| 149 | if (!fixedInverseLength) g.Add(scale * Math.Pow(b, -shape - 1) * d);
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| 150 | if (!fixedScale) g.Add(2 * scale * Math.Pow(b, -shape));
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| 151 | if (!fixedShape) g.Add(scale * Math.Pow(b, -shape) * (0.5 * d / b - shape * Math.Log(b)));
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| 152 | return g;
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[8473] | 153 | }
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| 154 | }
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| 155 | }
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