Examples with RandomDataGenerator org.apache.commons.math3.random.RandomDataGenerator used on opensource projects

Example 51 with RandomDataGenerator

use of org.apache.commons.math3.random.RandomDataGenerator in project GDSC-SMLM by aherbert.

the class FastMLEGradient2ProcedureTest method gradientCalculatorComputesGradient.

private void gradientCalculatorComputesGradient(ErfGaussian2DFunction func) {
    // Check the first and second derivatives
    int nparams = func.getNumberOfGradients();
    int[] indices = func.gradientIndices();
    int iter = 100;
    rdg = new RandomDataGenerator(new Well19937c(30051977));
    ArrayList<double[]> paramsList = new ArrayList<double[]>(iter);
    ArrayList<double[]> yList = new ArrayList<double[]>(iter);
    createData(1, iter, paramsList, yList, true);
    double delta = 1e-5;
    DoubleEquality eq = new DoubleEquality(1e-4, 1e-3);
    for (int i = 0; i < paramsList.size(); i++) {
        double[] y = yList.get(i);
        double[] a = paramsList.get(i);
        double[] a2 = a.clone();
        FastMLEGradient2Procedure p = FastMLEGradient2ProcedureFactory.create(y, func);
        //double ll = p.computeLogLikelihood(a);
        p.computeSecondDerivative(a);
        double[] d1 = p.d1.clone();
        double[] d2 = p.d2.clone();
        for (int j = 0; j < nparams; j++) {
            int k = indices[j];
            double d = Precision.representableDelta(a[k], (a[k] == 0) ? delta : a[k] * delta);
            a2[k] = a[k] + d;
            double llh = p.computeLogLikelihood(a2);
            p.computeFirstDerivative(a2);
            double[] d1h = p.d1.clone();
            a2[k] = a[k] - d;
            double lll = p.computeLogLikelihood(a2);
            p.computeFirstDerivative(a2);
            double[] d1l = p.d1.clone();
            a2[k] = a[k];
            double gradient1 = (llh - lll) / (2 * d);
            double gradient2 = (d1h[j] - d1l[j]) / (2 * d);
            //System.out.printf("[%d,%d] ll - %f  (%s %f+/-%f) d1 %f ?= %f : d2 %f ?= %f\n", i, k, ll, func.getName(k), a[k], d, 
            //		gradient1, d1[j], gradient2, d2[j]);
            Assert.assertTrue("Not same gradient1 @ " + j, eq.almostEqualRelativeOrAbsolute(gradient1, d1[j]));
            Assert.assertTrue("Not same gradient2 @ " + j, eq.almostEqualRelativeOrAbsolute(gradient2, d2[j]));
        }
    }
}

Example 52 with RandomDataGenerator

use of org.apache.commons.math3.random.RandomDataGenerator in project GDSC-SMLM by aherbert.

the class FastMLEGradient2ProcedureTest method gradientProcedureComputesSameWithPrecomputed.

@Test
public void gradientProcedureComputesSameWithPrecomputed() {
    int iter = 10;
    rdg = new RandomDataGenerator(new Well19937c(30051977));
    ErfGaussian2DFunction f1 = (ErfGaussian2DFunction) GaussianFunctionFactory.create2D(1, 10, 10, GaussianFunctionFactory.FIT_ERF_FREE_CIRCLE, null);
    ErfGaussian2DFunction f2 = (ErfGaussian2DFunction) GaussianFunctionFactory.create2D(2, 10, 10, GaussianFunctionFactory.FIT_ERF_FREE_CIRCLE, null);
    double[] a1 = new double[7];
    double[] a2 = new double[13];
    final double[] x = new double[f1.size()];
    final double[] b = new double[f1.size()];
    for (int i = 0; i < iter; i++) {
        a2[Gaussian2DFunction.BACKGROUND] = rdg.nextUniform(0.1, 0.3);
        a2[Gaussian2DFunction.SIGNAL] = rdg.nextUniform(100, 300);
        a2[Gaussian2DFunction.X_POSITION] = rdg.nextUniform(3, 5);
        a2[Gaussian2DFunction.Y_POSITION] = rdg.nextUniform(3, 5);
        a2[Gaussian2DFunction.X_SD] = rdg.nextUniform(1, 1.3);
        a2[Gaussian2DFunction.Y_SD] = rdg.nextUniform(1, 1.3);
        a2[6 + Gaussian2DFunction.SIGNAL] = rdg.nextUniform(100, 300);
        a2[6 + Gaussian2DFunction.X_POSITION] = rdg.nextUniform(5, 7);
        a2[6 + Gaussian2DFunction.Y_POSITION] = rdg.nextUniform(5, 7);
        a2[6 + Gaussian2DFunction.X_SD] = rdg.nextUniform(1, 1.3);
        a2[6 + Gaussian2DFunction.Y_SD] = rdg.nextUniform(1, 1.3);
        // Simulate Poisson data
        f2.initialise0(a2);
        f1.forEach(new ValueProcedure() {

            int k = 0;

            public void execute(double value) {
                x[k++] = (value > 0) ? rdg.nextPoisson(value) : 0;
            }
        });
        // Precompute peak 2 (no background)
        a1[Gaussian2DFunction.BACKGROUND] = 0;
        for (int j = 1; j < 7; j++) a1[j] = a2[6 + j];
        f1.initialise0(a1);
        f1.forEach(new ValueProcedure() {

            int k = 0;

            public void execute(double value) {
                b[k++] = value;
            }
        });
        // Reset to peak 1
        for (int j = 0; j < 7; j++) a1[j] = a2[j];
        // Compute peak 1+2
        FastMLEGradient2Procedure p12 = FastMLEGradient2ProcedureFactory.create(x, f2);
        p12.computeSecondDerivative(a2);
        double[] d11 = Arrays.copyOf(p12.d1, f1.getNumberOfGradients());
        double[] d21 = Arrays.copyOf(p12.d2, f1.getNumberOfGradients());
        // Compute peak 1+(precomputed 2)
        FastMLEGradient2Procedure p1b2 = FastMLEGradient2ProcedureFactory.create(x, PrecomputedGradient2Function.wrapGradient2Function(f1, b));
        p1b2.computeSecondDerivative(a1);
        double[] d12 = p1b2.d1;
        double[] d22 = p1b2.d2;
        Assert.assertArrayEquals(" Result: Not same @ " + i, p12.u, p1b2.u, 1e-10);
        Assert.assertArrayEquals(" D1: Not same @ " + i, d11, d12, 1e-10);
        Assert.assertArrayEquals(" D2: Not same @ " + i, d21, d22, 1e-10);
        double[] v1 = p12.computeValue(a2);
        double[] v2 = p1b2.computeValue(a1);
        Assert.assertArrayEquals(" Value: Not same @ " + i, v1, v2, 1e-10);
        double[] d1 = Arrays.copyOf(p12.computeFirstDerivative(a2), f1.getNumberOfGradients());
        double[] d2 = p1b2.computeFirstDerivative(a1);
        Assert.assertArrayEquals(" 1st derivative: Not same @ " + i, d1, d2, 1e-10);
    }
}

Example 53 with RandomDataGenerator

use of org.apache.commons.math3.random.RandomDataGenerator in project GDSC-SMLM by aherbert.

the class PoissonCalculatorTest method cannotSubtractConstantBackgroundAndComputeLogLikelihoodRatio.

private void cannotSubtractConstantBackgroundAndComputeLogLikelihoodRatio(BaseNonLinearFunction nlf1, BaseNonLinearFunction nlf2, BaseNonLinearFunction nlf3) {
    //System.out.println(nlf1.name);
    int n = maxx * maxx;
    double[] a = new double[] { 1 };
    // Simulate Poisson process of 3 combined functions
    nlf1.initialise(a);
    nlf2.initialise(a);
    nlf3.initialise(a);
    RandomDataGenerator rdg = new RandomDataGenerator(new Well19937c(30051977));
    double[] x = Utils.newArray(n, 0, 1.0);
    double[] u = new double[x.length];
    double[] b1 = new double[x.length];
    double[] b2 = new double[x.length];
    double[] b3 = new double[x.length];
    for (int i = 0; i < n; i++) {
        b1[i] = nlf1.eval(i);
        b2[i] = nlf2.eval(i);
        b3[i] = nlf3.eval(i);
        u[i] = b1[i] + b2[i] + b3[i];
        if (u[i] > 0)
            x[i] = rdg.nextPoisson(u[i]);
    }
    // x is the target data
    // b1 is the already computed background
    // b2 is the first function to add to the model
    // b3 is the second function to add to the model
    // Compute the LLR of adding b3 to b2 given we already have b1 modelling data x
    double[] b12 = add(b1, b2);
    double ll1a = PoissonCalculator.logLikelihood(b12, x);
    double ll2a = PoissonCalculator.logLikelihood(add(b12, b3), x);
    double llra = -2 * (ll1a - ll2a);
    //System.out.printf("x|(a+b+c) ll1=%f, ll2=%f, llra=%f\n", ll1a, ll2a, llra);
    // Compute the LLR of adding b3 to b2 given we already have x minus b1
    x = subtract(x, b1);
    double ll1b = PoissonCalculator.logLikelihood(b2, x);
    double ll2b = PoissonCalculator.logLikelihood(add(b2, b3), x);
    double llrb = -2 * (ll1b - ll2b);
    //System.out.printf("x-a|(b+c) : ll1=%f, ll2=%f, llrb=%f\n", ll1b, ll2b, llrb);
    //System.out.printf("llr=%f (%g), llr2=%f (%g)\n", llra, PoissonCalculator.computePValue(llra, 1), llrb,
    //		PoissonCalculator.computePValue(llrb, 1));
    Assert.assertNotEquals("Log-likelihood ratio", llra, llrb, llra * 1e-10);
}

Example 54 with RandomDataGenerator

use of org.apache.commons.math3.random.RandomDataGenerator in project GDSC-SMLM by aherbert.

the class PoissonGradientProcedureTest method gradientProcedureUnrolledComputesSameAsGradientProcedure.

private void gradientProcedureUnrolledComputesSameAsGradientProcedure(int nparams, boolean precomputed) {
    int iter = 10;
    rdg = new RandomDataGenerator(new Well19937c(30051977));
    ArrayList<double[]> paramsList = new ArrayList<double[]>(iter);
    createFakeParams(nparams, iter, paramsList);
    Gradient1Function func = new FakeGradientFunction(blockWidth, nparams);
    if (precomputed)
        func = PrecomputedGradient1Function.wrapGradient1Function(func, Utils.newArray(func.size(), 0.1, 1.3));
    String name = String.format("[%d]", nparams);
    for (int i = 0; i < paramsList.size(); i++) {
        PoissonGradientProcedure p1 = new PoissonGradientProcedure(func);
        p1.computeFisherInformation(paramsList.get(i));
        PoissonGradientProcedure p2 = PoissonGradientProcedureFactory.create(func);
        p2.computeFisherInformation(paramsList.get(i));
        // Exactly the same ...
        Assert.assertArrayEquals(name + " Observations: Not same alpha @ " + i, p1.getLinear(), p2.getLinear(), 0);
        double[][] am1 = p1.getMatrix();
        double[][] am2 = p2.getMatrix();
        for (int j = 0; j < nparams; j++) Assert.assertArrayEquals(name + " Observations: Not same alpha @ " + i, am1[j], am2[j], 0);
    }
}

Example 55 with RandomDataGenerator

use of org.apache.commons.math3.random.RandomDataGenerator in project GDSC-SMLM by aherbert.

the class PulseActivationAnalysis method createShapes.

private Shape[] createShapes(RandomDataGenerator rdg, int c) {
    RandomGenerator rand = rdg.getRandomGenerator();
    Shape[] shapes;
    double min = sim_size / 20;
    double max = sim_size / 10;
    double range = max - min;
    switch(sim_distribution[c]) {
        case CIRCLE:
            shapes = new Shape[10];
            for (int i = 0; i < shapes.length; i++) {
                float x = nextCoordinate(rand);
                float y = nextCoordinate(rand);
                double radius = rand.nextDouble() * range + min;
                shapes[i] = new Circle(x, y, radius);
            }
            break;
        case LINE:
            shapes = new Shape[10];
            for (int i = 0; i < shapes.length; i++) {
                float x = nextCoordinate(rand);
                float y = nextCoordinate(rand);
                double angle = rand.nextDouble() * Math.PI;
                double radius = rand.nextDouble() * range + min;
                shapes[i] = new Line(x, y, angle, radius);
            }
            break;
        case POINT:
        default:
            shapes = new Shape[sim_nMolecules[c]];
            for (int i = 0; i < shapes.length; i++) {
                float x = nextCoordinate(rand);
                float y = nextCoordinate(rand);
                shapes[i] = new Point(x, y);
            }
    }
    return shapes;
}