示例#1
0
        public void BernoulliIntegerSubsetArithmetic()
        {
            double tolerance     = 1e-10;
            var    commonValue1  = new Bernoulli(0.1);
            var    commonValue2  = new Bernoulli(0.2);
            var    specialValue1 = new Bernoulli(0.7);
            var    specialValue2 = new Bernoulli(0.8);
            var    specialValue3 = new Bernoulli(0.9);

            var listSize             = 100;
            var sparseBernoulliList1 = SparseBernoulliList.Constant(listSize, commonValue1);
            var sparseBernoulliList2 = SparseBernoulliList.Constant(listSize, commonValue2);

            sparseBernoulliList1[20] = specialValue1;
            sparseBernoulliList1[55] = specialValue2;
            sparseBernoulliList2[25] = specialValue2;
            sparseBernoulliList2[55] = specialValue3;
            var bernoulliIntegerSubset1 = BernoulliIntegerSubset.FromSparseList(sparseBernoulliList1);
            var bernoulliIntegerSubset2 = BernoulliIntegerSubset.FromSparseList(sparseBernoulliList2);

            // Product
            var product = bernoulliIntegerSubset1 * bernoulliIntegerSubset2;

            Assert.Equal(3, product.SparseBernoulliList.SparseValues.Count);
            Assert.Equal(commonValue1 * commonValue2, product.SparseBernoulliList.CommonValue);
            Assert.Equal(specialValue1 * commonValue2, product.SparseBernoulliList[20]);
            Assert.Equal(commonValue1 * specialValue2, product.SparseBernoulliList[25]);
            Assert.Equal(specialValue2 * specialValue3, product.SparseBernoulliList[55]);

            // Ratio
            var ratio = bernoulliIntegerSubset1 / bernoulliIntegerSubset2;

            Assert.Equal(2, ratio.SparseBernoulliList.SparseValues.Count);
            Assert.Equal((commonValue1 / commonValue2).GetProbTrue(), ratio.SparseBernoulliList.CommonValue.GetProbTrue(), tolerance);
            Assert.Equal((specialValue1 / commonValue2).GetProbTrue(), ratio.SparseBernoulliList[20].GetProbTrue(), tolerance);
            Assert.Equal((commonValue1 / specialValue2).GetProbTrue(), ratio.SparseBernoulliList[25].GetProbTrue(), tolerance);
            Assert.Equal((specialValue2 / specialValue3).GetProbTrue(), ratio.SparseBernoulliList[55].GetProbTrue(), tolerance);

            // Power
            var exponent = 1.2;
            var power    = bernoulliIntegerSubset1 ^ exponent;

            Assert.Equal(2, power.SparseBernoulliList.SparseValues.Count);
            Assert.Equal(commonValue1 ^ exponent, power.SparseBernoulliList.CommonValue);
            Assert.Equal(specialValue1 ^ exponent, power.SparseBernoulliList[20]);
            Assert.Equal(specialValue2 ^ exponent, power.SparseBernoulliList[55]);
        }
示例#2
0
        public void SparseBernoulliFromBetaFactor()
        {
            var calcSuffix     = ": calculation differs between sparse and dense";
            var sparsitySuffix = ": result is not sparse as expected";
            var calcErrMsg     = "";
            var sparsityErrMsg = "";
            var tolerance      = 1e-10;

            Rand.Restart(12347);
            int listSize           = 50;
            var sparseProbTrueDist = SparseBetaList.Constant(listSize, new Beta(1, 2));

            sparseProbTrueDist[3] = new Beta(4, 5);
            sparseProbTrueDist[6] = new Beta(7, 8);
            var probTrueDist        = sparseProbTrueDist.ToArray();
            var sparseProbTruePoint = SparseList <double> .Constant(listSize, 0.1);

            sparseProbTruePoint[3] = 0.7;
            sparseProbTruePoint[6] = 0.8;
            var probTruePoint = sparseProbTruePoint.ToArray();

            var sparseSampleDist = SparseBernoulliList.Constant(listSize, new Bernoulli(0.1));

            sparseSampleDist[3] = new Bernoulli(0.8);
            sparseSampleDist[9] = new Bernoulli(0.9);
            var sampleDist        = sparseSampleDist.ToArray();
            var sparseSamplePoint = SparseList <bool> .Constant(listSize, false);

            sparseSamplePoint[3] = true;
            sparseSamplePoint[9] = true;
            var samplePoint = sparseSamplePoint.ToArray();

            var toSparseSampleDist = SparseBernoulliList.Constant(listSize, new Bernoulli(0.1));

            toSparseSampleDist[3] = new Bernoulli(0.4);
            toSparseSampleDist[4] = new Bernoulli(0.8);
            var toSampleDist = toSparseSampleDist.ToArray();

            // ---------------------------
            // Check average log factor
            // ---------------------------
            calcErrMsg = "Average log factor" + calcSuffix;
            // Dist, dist
            var sparseAvgLog = SparseBernoulliFromBetaOp.AverageLogFactor(sparseSampleDist, sparseProbTrueDist);
            var avgLog       = Util.ArrayInit(listSize, i => BernoulliFromBetaOp.AverageLogFactor(sampleDist[i], probTrueDist[i])).Sum();

            TAssert.True(System.Math.Abs(avgLog - sparseAvgLog) < tolerance, calcErrMsg);
            // Dist, point
            sparseAvgLog = SparseBernoulliFromBetaOp.AverageLogFactor(sparseSampleDist, sparseProbTruePoint);
            avgLog       = Util.ArrayInit(listSize, i => BernoulliFromBetaOp.AverageLogFactor(sampleDist[i], probTruePoint[i])).Sum();
            TAssert.True(System.Math.Abs(avgLog - sparseAvgLog) < tolerance, calcErrMsg);
            // Point, dist
            sparseAvgLog = SparseBernoulliFromBetaOp.AverageLogFactor(sparseSamplePoint, sparseProbTrueDist);
            avgLog       = Util.ArrayInit(listSize, i => BernoulliFromBetaOp.AverageLogFactor(samplePoint[i], probTrueDist[i])).Sum();
            TAssert.True(System.Math.Abs(avgLog - sparseAvgLog) < tolerance, calcErrMsg);
            // Point, point
            sparseAvgLog = SparseBernoulliFromBetaOp.AverageLogFactor(sparseSamplePoint, sparseProbTruePoint);
            avgLog       = Util.ArrayInit(listSize, i => BernoulliFromBetaOp.AverageLogFactor(samplePoint[i], probTruePoint[i])).Sum();
            TAssert.True(System.Math.Abs(avgLog - sparseAvgLog) < tolerance, calcErrMsg);

            // ---------------------------
            // Check log average factor
            // ---------------------------
            calcErrMsg = "Log average factor" + calcSuffix;
            var sparseLogAvg = SparseBernoulliFromBetaOp.LogAverageFactor(sparseSampleDist, toSparseSampleDist);
            var logAvg       = Util.ArrayInit(listSize, i => BernoulliFromBetaOp.LogAverageFactor(sampleDist[i], toSampleDist[i])).Sum();

            TAssert.True(System.Math.Abs(logAvg - sparseLogAvg) < tolerance, calcErrMsg);
            sparseLogAvg = SparseBernoulliFromBetaOp.LogAverageFactor(sparseSamplePoint, sparseProbTrueDist);
            logAvg       = Util.ArrayInit(listSize, i => BernoulliFromBetaOp.LogAverageFactor(samplePoint[i], probTrueDist[i])).Sum();
            TAssert.True(System.Math.Abs(logAvg - sparseLogAvg) < tolerance, calcErrMsg);
            sparseLogAvg = SparseBernoulliFromBetaOp.LogAverageFactor(sparseSamplePoint, sparseProbTruePoint);
            logAvg       = Util.ArrayInit(listSize, i => BernoulliFromBetaOp.LogAverageFactor(samplePoint[i], probTruePoint[i])).Sum();
            TAssert.True(System.Math.Abs(logAvg - sparseLogAvg) < tolerance, calcErrMsg);

            // ---------------------------
            // Check log evidence ratio
            // ---------------------------
            calcErrMsg = "Log evidence ratio" + calcSuffix;
            // Dist, dist
            var sparseEvidRat = SparseBernoulliFromBetaOp.LogEvidenceRatio(sparseSampleDist, sparseProbTrueDist);
            var evidRat       = Util.ArrayInit(listSize, i => BernoulliFromBetaOp.LogEvidenceRatio(sampleDist[i], probTrueDist[i])).Sum();

            TAssert.True(System.Math.Abs(evidRat - sparseEvidRat) < tolerance, calcErrMsg);
            // Dist, point
            sparseEvidRat = SparseBernoulliFromBetaOp.LogEvidenceRatio(sparseSampleDist, sparseProbTruePoint);
            evidRat       = Util.ArrayInit(listSize, i => BernoulliFromBetaOp.LogEvidenceRatio(sampleDist[i], probTruePoint[i])).Sum();
            TAssert.True(System.Math.Abs(evidRat - sparseEvidRat) < tolerance, calcErrMsg);
            // Point, dist
            sparseEvidRat = SparseBernoulliFromBetaOp.LogEvidenceRatio(sparseSamplePoint, sparseProbTrueDist);
            evidRat       = Util.ArrayInit(listSize, i => BernoulliFromBetaOp.LogEvidenceRatio(samplePoint[i], probTrueDist[i])).Sum();
            TAssert.True(System.Math.Abs(evidRat - sparseEvidRat) < tolerance, calcErrMsg);
            // Point, point
            sparseEvidRat = SparseBernoulliFromBetaOp.LogEvidenceRatio(sparseSamplePoint, sparseProbTruePoint);
            evidRat       = Util.ArrayInit(listSize, i => BernoulliFromBetaOp.LogEvidenceRatio(samplePoint[i], probTruePoint[i])).Sum();
            TAssert.True(System.Math.Abs(evidRat - sparseEvidRat) < tolerance, calcErrMsg);

            // ---------------------------
            // Check SampleConditional
            // ---------------------------
            calcErrMsg     = "SampleConditional" + calcSuffix;
            sparsityErrMsg = "SampleConditional" + sparsitySuffix;
            // Use different common value to ensure this gets properly set
            var sparseSampleConditional = SparseBernoulliList.Constant(listSize, new Bernoulli(0.5));

            sparseSampleConditional = SparseBernoulliFromBetaOp.SampleConditional(sparseProbTruePoint, sparseSampleConditional);
            var sampleConditional = Util.ArrayInit(listSize, i => BernoulliFromBetaOp.SampleConditional(probTruePoint[i]));

            TAssert.True(2 == sparseSampleConditional.SparseCount, sparsityErrMsg);
            TAssert.True(sparseSampleConditional.MaxDiff(sampleConditional) < tolerance, calcErrMsg);

            // ---------------------------
            // Check SampleAverageConditional
            // ---------------------------
            calcErrMsg     = "SampleAverageConditional" + calcSuffix;
            sparsityErrMsg = "SampleAverageConditional" + sparsitySuffix;
            // Use different common value to ensure this gets properly set
            var sparseSampleAvgConditional = SparseBernoulliList.Constant(listSize, new Bernoulli(0.5));

            sparseSampleAvgConditional = SparseBernoulliFromBetaOp.SampleAverageConditional(sparseProbTrueDist, sparseSampleAvgConditional);
            var sampleAvgConditional = Util.ArrayInit(listSize, i => BernoulliFromBetaOp.SampleAverageConditional(probTrueDist[i]));

            TAssert.True(2 == sparseSampleAvgConditional.SparseCount, sparsityErrMsg);
            TAssert.True(sparseSampleAvgConditional.MaxDiff(sampleAvgConditional) < tolerance, calcErrMsg);
            sparseSampleAvgConditional = SparseBernoulliList.Constant(listSize, new Bernoulli(0.5));
            sparseSampleAvgConditional = SparseBernoulliFromBetaOp.SampleAverageConditional(sparseProbTruePoint, sparseSampleAvgConditional);
            sampleAvgConditional       = Util.ArrayInit(listSize, i => BernoulliFromBetaOp.SampleAverageConditional(probTruePoint[i]));
            TAssert.True(2 == sparseSampleAvgConditional.SparseCount, sparsityErrMsg);
            TAssert.True(sparseSampleAvgConditional.MaxDiff(sampleAvgConditional) < tolerance, calcErrMsg);

            // ---------------------------
            // Check ProbTrueConditional
            // ---------------------------
            calcErrMsg     = "ProbTrueConditional" + calcSuffix;
            sparsityErrMsg = "ProbTrueConditional" + sparsitySuffix;
            // Use different common value to ensure this gets properly set
            var sparseProbTrueConditional = SparseBetaList.Constant(listSize, new Beta(1.1, 2.2));

            sparseProbTrueConditional = SparseBernoulliFromBetaOp.ProbTrueConditional(sparseSamplePoint, sparseProbTrueConditional);
            var probTrueConditional = Util.ArrayInit(listSize, i => BernoulliFromBetaOp.ProbTrueConditional(samplePoint[i]));

            TAssert.True(2 == sparseProbTrueConditional.SparseCount, sparsityErrMsg);
            TAssert.True(sparseProbTrueConditional.MaxDiff(probTrueConditional) < tolerance, calcErrMsg);

            // ---------------------------
            // Check ProbTrueAverageConditional
            // ---------------------------
            calcErrMsg     = "ProbTrueAverageConditional" + calcSuffix;
            sparsityErrMsg = "ProbTrueAverageConditional" + sparsitySuffix;
            // Use different common value to ensure this gets properly set
            var sparseProbTrueAvgConditional = SparseBetaList.Constant(listSize, new Beta(1.1, 2.2));

            sparseProbTrueAvgConditional = SparseBernoulliFromBetaOp.ProbTrueAverageConditional(sparseSampleDist, sparseProbTrueDist, sparseProbTrueAvgConditional);
            var probTrueAvgConditional = Util.ArrayInit(listSize, i => BernoulliFromBetaOp.ProbTrueAverageConditional(sampleDist[i], probTrueDist[i]));

            TAssert.True(2 == sparseProbTrueAvgConditional.SparseCount, sparsityErrMsg);
            TAssert.True(sparseProbTrueAvgConditional.MaxDiff(probTrueAvgConditional) < tolerance, calcErrMsg);
            sparseProbTrueAvgConditional = SparseBetaList.Constant(listSize, new Beta(1.1, 2.2));
            sparseProbTrueAvgConditional = SparseBernoulliFromBetaOp.ProbTrueAverageConditional(sparseSamplePoint, sparseProbTrueAvgConditional);
            probTrueAvgConditional       = Util.ArrayInit(listSize, i => BernoulliFromBetaOp.ProbTrueAverageConditional(samplePoint[i]));
            TAssert.True(2 == sparseProbTrueAvgConditional.SparseCount, sparsityErrMsg);
            TAssert.True(sparseProbTrueAvgConditional.MaxDiff(probTrueAvgConditional) < tolerance, calcErrMsg);

            // ---------------------------
            // Check SampleAverageLogarithm
            // ---------------------------
            calcErrMsg     = "SampleAverageLogarithm" + calcSuffix;
            sparsityErrMsg = "SampleAverageLogarithm" + sparsitySuffix;
            // Use different common value to ensure this gets properly set
            var sparseSampleAvgLogarithm = SparseBernoulliList.Constant(listSize, new Bernoulli(0.5));

            sparseSampleAvgLogarithm = SparseBernoulliFromBetaOp.SampleAverageLogarithm(sparseProbTrueDist, sparseSampleAvgLogarithm);
            var sampleAvgLogarithm = Util.ArrayInit(listSize, i => BernoulliFromBetaOp.SampleAverageLogarithm(probTrueDist[i]));

            TAssert.True(2 == sparseSampleAvgLogarithm.SparseCount, sparsityErrMsg);
            TAssert.True(sparseSampleAvgLogarithm.MaxDiff(sampleAvgLogarithm) < tolerance, calcErrMsg);
            sparseSampleAvgLogarithm = SparseBernoulliList.Constant(listSize, new Bernoulli(0.5));
            sparseSampleAvgLogarithm = SparseBernoulliFromBetaOp.SampleAverageLogarithm(sparseProbTruePoint, sparseSampleAvgLogarithm);
            sampleAvgLogarithm       = Util.ArrayInit(listSize, i => BernoulliFromBetaOp.SampleAverageLogarithm(probTruePoint[i]));
            TAssert.True(2 == sparseSampleAvgLogarithm.SparseCount, sparsityErrMsg);
            TAssert.True(sparseSampleAvgLogarithm.MaxDiff(sampleAvgLogarithm) < tolerance, calcErrMsg);

            // ---------------------------
            // Check ProbTrueAverageLogarithm
            // ---------------------------
            calcErrMsg     = "ProbTrueAverageLogarithm" + calcSuffix;
            sparsityErrMsg = "ProbTrueAverageLogarithm" + sparsitySuffix;
            // Use different common value to ensure this gets properly set
            var sparseProbTrueAvgLogarithm = SparseBetaList.Constant(listSize, new Beta(1.1, 2.2));

            sparseProbTrueAvgLogarithm = SparseBernoulliFromBetaOp.ProbTrueAverageLogarithm(sparseSampleDist, sparseProbTrueAvgLogarithm);
            var probTrueAvgLogarithm = Util.ArrayInit(listSize, i => BernoulliFromBetaOp.ProbTrueAverageLogarithm(sampleDist[i]));

            TAssert.True(2 == sparseProbTrueAvgLogarithm.SparseCount, sparsityErrMsg);
            TAssert.True(sparseProbTrueAvgLogarithm.MaxDiff(probTrueAvgLogarithm) < tolerance, calcErrMsg);
            sparseProbTrueAvgLogarithm = SparseBetaList.Constant(listSize, new Beta(1.1, 2.2));
            sparseProbTrueAvgLogarithm = SparseBernoulliFromBetaOp.ProbTrueAverageLogarithm(sparseSamplePoint, sparseProbTrueAvgLogarithm);
            probTrueAvgLogarithm       = Util.ArrayInit(listSize, i => BernoulliFromBetaOp.ProbTrueAverageLogarithm(samplePoint[i]));
            TAssert.True(2 == sparseProbTrueAvgLogarithm.SparseCount, sparsityErrMsg);
            TAssert.True(sparseProbTrueAvgLogarithm.MaxDiff(probTrueAvgLogarithm) < tolerance, calcErrMsg);
        }
示例#3
0
            public void Initialize(bool skipStringDistributions = false)
            {
                // DO NOT make this a constructor, because it makes the test not notice complete lack of serialization as an empty object is set up exactly as the thing
                // you are trying to deserialize.
                this.pareto  = new Pareto(1.2, 3.5);
                this.poisson = new Poisson(2.3);
                this.wishart = new Wishart(20, new PositiveDefiniteMatrix(new double[, ] {
                    { 22, 21 }, { 21, 23 }
                }));
                this.vectorGaussian = new VectorGaussian(Vector.FromArray(13, 14), new PositiveDefiniteMatrix(new double[, ] {
                    { 16, 15 }, { 15, 17 }
                }));
                this.unnormalizedDiscrete = UnnormalizedDiscrete.FromLogProbs(DenseVector.FromArray(5.1, 5.2, 5.3));
                this.pointMass            = PointMass <double> .Create(1.1);

                this.gaussian             = new Gaussian(11.0, 12.0);
                this.nonconjugateGaussian = new NonconjugateGaussian(1.2, 2.3, 3.4, 4.5);
                this.gamma              = new Gamma(9.0, 10.0);
                this.gammaPower         = new GammaPower(5.6, 2.8, 3.4);
                this.discrete           = new Discrete(6.0, 7.0, 8.0);
                this.conjugateDirichlet = new ConjugateDirichlet(1.2, 2.3, 3.4, 4.5);
                this.dirichlet          = new Dirichlet(3.0, 4.0, 5.0);
                this.beta      = new Beta(2.0, 1.0);
                this.binomial  = new Binomial(5, 0.8);
                this.bernoulli = new Bernoulli(0.6);

                this.sparseBernoulliList    = SparseBernoulliList.Constant(4, new Bernoulli(0.1));
                this.sparseBernoulliList[1] = new Bernoulli(0.9);
                this.sparseBernoulliList[3] = new Bernoulli(0.7);

                this.sparseBetaList    = SparseBetaList.Constant(5, new Beta(2.0, 2.0));
                this.sparseBetaList[0] = new Beta(3.0, 4.0);
                this.sparseBetaList[1] = new Beta(5.0, 6.0);

                this.sparseGaussianList    = SparseGaussianList.Constant(6, Gaussian.FromMeanAndPrecision(0.1, 0.2));
                this.sparseGaussianList[4] = Gaussian.FromMeanAndPrecision(0.3, 0.4);
                this.sparseGaussianList[5] = Gaussian.FromMeanAndPrecision(0.5, 0.6);

                this.sparseGammaList = SparseGammaList.Constant(1, Gamma.FromShapeAndRate(1.0, 2.0));

                this.truncatedGamma    = new TruncatedGamma(1.2, 2.3, 3.4, 4.5);
                this.truncatedGaussian = new TruncatedGaussian(1.2, 3.4, 5.6, 7.8);
                this.wrappedGaussian   = new WrappedGaussian(1.2, 2.3, 3.4);

                ga = Distribution <double> .Array(new[] { this.gaussian, this.gaussian });

                vga = Distribution <Vector> .Array(new[] { this.vectorGaussian, this.vectorGaussian });

                ga2D = Distribution <double> .Array(new[, ] {
                    { this.gaussian, this.gaussian }, { this.gaussian, this.gaussian }
                });

                vga2D = Distribution <Vector> .Array(new[, ] {
                    { this.vectorGaussian, this.vectorGaussian }, { this.vectorGaussian, this.vectorGaussian }
                });

                gaJ = Distribution <double> .Array(new[] { new[] { this.gaussian, this.gaussian }, new[] { this.gaussian, this.gaussian } });

                vgaJ = Distribution <Vector> .Array(new[] { new[] { this.vectorGaussian, this.vectorGaussian }, new[] { this.vectorGaussian, this.vectorGaussian } });

                var gp    = new GaussianProcess(new ConstantFunction(0), new SquaredExponential(0));
                var basis = Util.ArrayInit(2, i => Vector.FromArray(1.0 * i));

                this.sparseGp = new SparseGP(new SparseGPFixed(gp, basis));

                this.quantileEstimator = new QuantileEstimator(0.01);
                this.quantileEstimator.Add(5);
                this.outerQuantiles = OuterQuantiles.FromDistribution(3, this.quantileEstimator);
                this.innerQuantiles = InnerQuantiles.FromDistribution(3, this.outerQuantiles);

                if (!skipStringDistributions)
                {
                    // String distributions can not be serialized by some formatters (namely BinaryFormatter)
                    // That is fine because this combination is never used in practice
                    this.stringDistribution1 = StringDistribution.String("aa")
                                               .Append(StringDistribution.OneOf("b", "ccc")).Append("dddd");
                    this.stringDistribution2 = new StringDistribution();
                    this.stringDistribution2.SetToProduct(StringDistribution.OneOf("a", "b"),
                                                          StringDistribution.OneOf("b", "c"));
                }
            }
示例#4
0
            public void Initialize()
            {
                // DO NOT make this a constructor, because it makes the test not notice complete lack of serialization as an empty object is set up exactly as the thing
                // you are trying to deserialize.
                this.pareto  = new Pareto(1.2, 3.5);
                this.poisson = new Poisson(2.3);
                this.wishart = new Wishart(20, new PositiveDefiniteMatrix(new double[, ] {
                    { 22, 21 }, { 21, 23 }
                }));
                this.vectorGaussian = new VectorGaussian(Vector.FromArray(13, 14), new PositiveDefiniteMatrix(new double[, ] {
                    { 16, 15 }, { 15, 17 }
                }));
                this.unnormalizedDiscrete = UnnormalizedDiscrete.FromLogProbs(DenseVector.FromArray(5.1, 5.2, 5.3));
                this.pointMass            = PointMass <double> .Create(1.1);

                this.gaussian             = new Gaussian(11.0, 12.0);
                this.nonconjugateGaussian = new NonconjugateGaussian(1.2, 2.3, 3.4, 4.5);
                this.gamma              = new Gamma(9.0, 10.0);
                this.gammaPower         = new GammaPower(5.6, 2.8, 3.4);
                this.discrete           = new Discrete(6.0, 7.0, 8.0);
                this.conjugateDirichlet = new ConjugateDirichlet(1.2, 2.3, 3.4, 4.5);
                this.dirichlet          = new Dirichlet(3.0, 4.0, 5.0);
                this.beta      = new Beta(2.0, 1.0);
                this.binomial  = new Binomial(5, 0.8);
                this.bernoulli = new Bernoulli(0.6);

                this.sparseBernoulliList    = SparseBernoulliList.Constant(4, new Bernoulli(0.1));
                this.sparseBernoulliList[1] = new Bernoulli(0.9);
                this.sparseBernoulliList[3] = new Bernoulli(0.7);

                this.sparseBetaList    = SparseBetaList.Constant(5, new Beta(2.0, 2.0));
                this.sparseBetaList[0] = new Beta(3.0, 4.0);
                this.sparseBetaList[1] = new Beta(5.0, 6.0);

                this.sparseGaussianList    = SparseGaussianList.Constant(6, Gaussian.FromMeanAndPrecision(0.1, 0.2));
                this.sparseGaussianList[4] = Gaussian.FromMeanAndPrecision(0.3, 0.4);
                this.sparseGaussianList[5] = Gaussian.FromMeanAndPrecision(0.5, 0.6);

                this.sparseGammaList = SparseGammaList.Constant(1, Gamma.FromShapeAndRate(1.0, 2.0));

                this.truncatedGamma    = new TruncatedGamma(1.2, 2.3, 3.4, 4.5);
                this.truncatedGaussian = new TruncatedGaussian(1.2, 3.4, 5.6, 7.8);
                this.wrappedGaussian   = new WrappedGaussian(1.2, 2.3, 3.4);

                ga = Distribution <double> .Array(new[] { this.gaussian, this.gaussian });

                vga = Distribution <Vector> .Array(new[] { this.vectorGaussian, this.vectorGaussian });

                ga2D = Distribution <double> .Array(new[, ] {
                    { this.gaussian, this.gaussian }, { this.gaussian, this.gaussian }
                });

                vga2D = Distribution <Vector> .Array(new[, ] {
                    { this.vectorGaussian, this.vectorGaussian }, { this.vectorGaussian, this.vectorGaussian }
                });

                gaJ = Distribution <double> .Array(new[] { new[] { this.gaussian, this.gaussian }, new[] { this.gaussian, this.gaussian } });

                vgaJ = Distribution <Vector> .Array(new[] { new[] { this.vectorGaussian, this.vectorGaussian }, new[] { this.vectorGaussian, this.vectorGaussian } });

                var gp    = new GaussianProcess(new ConstantFunction(0), new SquaredExponential(0));
                var basis = Util.ArrayInit(2, i => Vector.FromArray(1.0 * i));

                this.sparseGp = new SparseGP(new SparseGPFixed(gp, basis));

                this.quantileEstimator = new QuantileEstimator(0.01);
                this.quantileEstimator.Add(5);
            }