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

Example 21 with RandomDataGenerator

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

the class LSQLVMGradientProcedureTest method gradientProcedureComputesSameAsGradientCalculator.

private void gradientProcedureComputesSameAsGradientCalculator(int nparams, BaseLSQLVMGradientProcedureFactory factory) {
    int iter = 10;
    rdg = new RandomDataGenerator(new Well19937c(30051977));
    double[][] alpha = new double[nparams][nparams];
    double[] beta = new double[nparams];
    ArrayList<double[]> paramsList = new ArrayList<double[]>(iter);
    ArrayList<double[]> yList = new ArrayList<double[]>(iter);
    int[] x = createFakeData(nparams, iter, paramsList, yList);
    int n = x.length;
    FakeGradientFunction func = new FakeGradientFunction(blockWidth, nparams);
    GradientCalculator calc = GradientCalculatorFactory.newCalculator(nparams, false);
    String name = factory.getClass().getSimpleName();
    for (int i = 0; i < paramsList.size(); i++) {
        BaseLSQLVMGradientProcedure p = factory.createProcedure(yList.get(i), func);
        p.gradient(paramsList.get(i));
        double s = p.value;
        double s2 = calc.findLinearised(n, yList.get(i), paramsList.get(i), alpha, beta, func);
        // Exactly the same ...
        Assert.assertEquals(name + " Result: Not same @ " + i, s, s2, 0);
        Assert.assertArrayEquals(name + " Observations: Not same beta @ " + i, p.beta, beta, 0);
        double[] al = p.getAlphaLinear();
        Assert.assertArrayEquals(name + " Observations: Not same alpha @ " + i, al, new DenseMatrix64F(alpha).data, 0);
        double[][] am = p.getAlphaMatrix();
        for (int j = 0; j < nparams; j++) Assert.assertArrayEquals(name + " Observations: Not same alpha @ " + i, am[j], alpha[j], 0);
    }
}

Example 22 with RandomDataGenerator

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

the class LSQLVMGradientProcedureTest method gradientProcedureComputesGradient.

private void gradientProcedureComputesGradient(ErfGaussian2DFunction func) {
    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-3;
    DoubleEquality eq = new DoubleEquality(1e-3, 1e-3);
    for (int i = 0; i < paramsList.size(); i++) {
        double[] y = yList.get(i);
        double[] a = paramsList.get(i);
        double[] a2 = a.clone();
        BaseLSQLVMGradientProcedure p = LSQLVMGradientProcedureFactory.create(y, func);
        p.gradient(a);
        //double s = p.ssx;
        double[] beta = p.beta.clone();
        for (int j = 0; j < nparams; j++) {
            int k = indices[j];
            double d = Precision.representableDelta(a[k], (a[k] == 0) ? 1e-3 : a[k] * delta);
            a2[k] = a[k] + d;
            p.value(a2);
            double s1 = p.value;
            a2[k] = a[k] - d;
            p.value(a2);
            double s2 = p.value;
            a2[k] = a[k];
            // Apply a factor of -2 to compute the actual gradients:
            // See Numerical Recipes in C++, 2nd Ed. Equation 15.5.6 for Nonlinear Models 
            beta[j] *= -2;
            double gradient = (s1 - s2) / (2 * d);
            //System.out.printf("[%d,%d] %f  (%s %f+/-%f)  %f  ?=  %f\n", i, k, s, func.getName(k), a[k], d, beta[j],
            //		gradient);
            Assert.assertTrue("Not same gradient @ " + j, eq.almostEqualRelativeOrAbsolute(beta[j], gradient));
        }
    }
}

Example 23 with RandomDataGenerator

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

the class LVMGradientProcedureTest method gradientProcedureComputesSameAsGradientCalculator.

private void gradientProcedureComputesSameAsGradientCalculator(int nparams, boolean mle) {
    int iter = 10;
    rdg = new RandomDataGenerator(new Well19937c(30051977));
    double[][] alpha = new double[nparams][nparams];
    double[] beta = new double[nparams];
    ArrayList<double[]> paramsList = new ArrayList<double[]>(iter);
    ArrayList<double[]> yList = new ArrayList<double[]>(iter);
    int[] x = createFakeData(nparams, iter, paramsList, yList);
    int n = x.length;
    FakeGradientFunction func = new FakeGradientFunction(blockWidth, nparams);
    GradientCalculator calc = GradientCalculatorFactory.newCalculator(nparams, mle);
    String name = String.format("[%d] %b", nparams, mle);
    for (int i = 0; i < paramsList.size(); i++) {
        LVMGradientProcedure p = LVMGradientProcedureFactory.create(yList.get(i), func, (mle) ? Type.MLE : Type.LSQ);
        p.gradient(paramsList.get(i));
        double s = p.value;
        double s2 = calc.findLinearised(n, yList.get(i), paramsList.get(i), alpha, beta, func);
        // Exactly the same ...
        Assert.assertEquals(name + " Result: Not same @ " + i, s, s2, 0);
        Assert.assertArrayEquals(name + " Observations: Not same beta @ " + i, p.beta, beta, 0);
        double[] al = p.getAlphaLinear();
        Assert.assertArrayEquals(name + " Observations: Not same alpha @ " + i, al, new DenseMatrix64F(alpha).data, 0);
        double[][] am = p.getAlphaMatrix();
        for (int j = 0; j < nparams; j++) Assert.assertArrayEquals(name + " Observations: Not same alpha @ " + i, am[j], alpha[j], 0);
    }
}

Example 24 with RandomDataGenerator

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

the class LVMGradientProcedureTest method gradientProcedureSupportsPrecomputed.

private void gradientProcedureSupportsPrecomputed(final Type type) {
    int iter = 10;
    rdg = new RandomDataGenerator(new Well19937c(30051977));
    ArrayList<double[]> paramsList = new ArrayList<double[]>(iter);
    ArrayList<double[]> yList = new ArrayList<double[]>(iter);
    // 3 peaks
    createData(3, iter, paramsList, yList, true);
    for (int i = 0; i < paramsList.size(); i++) {
        final double[] y = yList.get(i);
        // Add Gaussian read noise so we have negatives
        double min = Maths.min(y);
        for (int j = 0; j < y.length; j++) y[j] = y[i] - min + rdg.nextGaussian(0, Noise);
    }
    // We want to know that:
    // y|peak1+peak2+peak3 == y|peak1+peak2+peak3(precomputed)
    // We want to know when:
    // y|peak1+peak2+peak3 != y-peak3|peak1+peak2
    // i.e. we cannot subtract a precomputed peak from the data, it must be included in the fit
    // E.G. LSQ - subtraction is OK, MLE/WLSQ - subtraction is not allowed
    Gaussian2DFunction f123 = GaussianFunctionFactory.create2D(3, blockWidth, blockWidth, GaussianFunctionFactory.FIT_ERF_FREE_CIRCLE, null);
    Gaussian2DFunction f12 = GaussianFunctionFactory.create2D(2, blockWidth, blockWidth, GaussianFunctionFactory.FIT_ERF_FREE_CIRCLE, null);
    Gaussian2DFunction f3 = GaussianFunctionFactory.create2D(1, blockWidth, blockWidth, GaussianFunctionFactory.FIT_ERF_FREE_CIRCLE, null);
    int nparams = f12.getNumberOfGradients();
    int[] indices = f12.gradientIndices();
    final double[] b = new double[f12.size()];
    double delta = 1e-3;
    DoubleEquality eq = new DoubleEquality(5e-3, 1e-6);
    double[] a1peaks = new double[7];
    final double[] y_b = new double[b.length];
    for (int i = 0; i < paramsList.size(); i++) {
        final double[] y = yList.get(i);
        double[] a3peaks = paramsList.get(i);
        double[] a2peaks = Arrays.copyOf(a3peaks, 1 + 2 * 6);
        double[] a2peaks2 = a2peaks.clone();
        for (int j = 1; j < 7; j++) a1peaks[j] = a3peaks[j + 2 * 6];
        // Evaluate peak 3 to get the background and subtract it from the data to get the new data
        f3.initialise0(a1peaks);
        f3.forEach(new ValueProcedure() {

            int k = 0;

            public void execute(double value) {
                b[k] = value;
                // Remove negatives for MLE
                if (type == Type.MLE) {
                    y[k] = Math.max(0, y[k]);
                    y_b[k] = Math.max(0, y[k] - value);
                } else {
                    y_b[k] = y[k] - value;
                }
                k++;
            }
        });
        // These should be the same
        LVMGradientProcedure p123 = LVMGradientProcedureFactory.create(y, f123, type);
        LVMGradientProcedure p12b3 = LVMGradientProcedureFactory.create(y, PrecomputedGradient1Function.wrapGradient1Function(f12, b), type);
        // This may be different
        LVMGradientProcedure p12m3 = LVMGradientProcedureFactory.create(y_b, f12, type);
        // Check they are the same
        p123.gradient(a3peaks);
        double[][] m123 = p123.getAlphaMatrix();
        p12b3.gradient(a2peaks);
        double s = p12b3.value;
        double[] beta = p12b3.beta.clone();
        double[][] alpha = p12b3.getAlphaMatrix();
        System.out.printf("MLE=%b [%d] p12b3  %f  %f\n", type, i, p123.value, s);
        Assert.assertTrue("p12b3 Not same value @ " + i, eq.almostEqualRelativeOrAbsolute(p123.value, s));
        Assert.assertTrue("p12b3 Not same gradient @ " + i, eq.almostEqualRelativeOrAbsolute(beta, p123.beta));
        for (int j = 0; j < alpha.length; j++) Assert.assertTrue("p12b3 Not same alpha @ " + j, eq.almostEqualRelativeOrAbsolute(alpha[j], m123[j]));
        // Check actual gradients are correct
        for (int j = 0; j < nparams; j++) {
            int k = indices[j];
            double d = Precision.representableDelta(a2peaks[k], (a2peaks[k] == 0) ? 1e-3 : a2peaks[k] * delta);
            a2peaks2[k] = a2peaks[k] + d;
            p12b3.value(a2peaks2);
            double s1 = p12b3.value;
            a2peaks2[k] = a2peaks[k] - d;
            p12b3.value(a2peaks2);
            double s2 = p12b3.value;
            a2peaks2[k] = a2peaks[k];
            // Apply a factor of -2 to compute the actual gradients:
            // See Numerical Recipes in C++, 2nd Ed. Equation 15.5.6 for Nonlinear Models
            beta[j] *= -2;
            double gradient = (s1 - s2) / (2 * d);
            System.out.printf("[%d,%d] %f  (%s %f+/-%f)  %f  ?=  %f  (%f)\n", i, k, s, f12.getName(k), a2peaks[k], d, beta[j], gradient, DoubleEquality.relativeError(gradient, beta[j]));
            Assert.assertTrue("Not same gradient @ " + j, eq.almostEqualRelativeOrAbsolute(beta[j], gradient));
        }
        // Check these may be different
        p12m3.gradient(a2peaks);
        s = p12m3.value;
        beta = p12m3.beta.clone();
        alpha = p12m3.getAlphaMatrix();
        System.out.printf("%s [%d] p12m3  %f  %f\n", type, i, p123.value, s);
        if (type != Type.LSQ) {
            Assert.assertFalse("p12b3 Same value @ " + i, eq.almostEqualRelativeOrAbsolute(p123.value, s));
            Assert.assertFalse("p12b3 Same gradient @ " + i, eq.almostEqualRelativeOrAbsolute(beta, p123.beta));
            for (int j = 0; j < alpha.length; j++) {
                //System.out.printf("%s != %s\n", Arrays.toString(alpha[j]), Arrays.toString(m123[j]));
                Assert.assertFalse("p12b3 Same alpha @ " + j, eq.almostEqualRelativeOrAbsolute(alpha[j], m123[j]));
            }
        } else {
            Assert.assertTrue("p12b3 Not same value @ " + i, eq.almostEqualRelativeOrAbsolute(p123.value, s));
            Assert.assertTrue("p12b3 Not same gradient @ " + i, eq.almostEqualRelativeOrAbsolute(beta, p123.beta));
            for (int j = 0; j < alpha.length; j++) Assert.assertTrue("p12b3 Not same alpha @ " + j, eq.almostEqualRelativeOrAbsolute(alpha[j], m123[j]));
        }
        // Check actual gradients are correct
        for (int j = 0; j < nparams; j++) {
            int k = indices[j];
            double d = Precision.representableDelta(a2peaks[k], (a2peaks[k] == 0) ? 1e-3 : a2peaks[k] * delta);
            a2peaks2[k] = a2peaks[k] + d;
            p12m3.value(a2peaks2);
            double s1 = p12m3.value;
            a2peaks2[k] = a2peaks[k] - d;
            p12m3.value(a2peaks2);
            double s2 = p12m3.value;
            a2peaks2[k] = a2peaks[k];
            // Apply a factor of -2 to compute the actual gradients:
            // See Numerical Recipes in C++, 2nd Ed. Equation 15.5.6 for Nonlinear Models
            beta[j] *= -2;
            double gradient = (s1 - s2) / (2 * d);
            System.out.printf("[%d,%d] %f  (%s %f+/-%f)  %f  ?=  %f  (%f)\n", i, k, s, f12.getName(k), a2peaks[k], d, beta[j], gradient, DoubleEquality.relativeError(gradient, beta[j]));
            Assert.assertTrue("Not same gradient @ " + j, eq.almostEqualRelativeOrAbsolute(beta[j], gradient));
        }
    }
}

Example 25 with RandomDataGenerator

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

the class FastMLEJacobianGradient2ProcedureTest method gradientProcedureComputesSameAsBaseGradientProcedure.

private void gradientProcedureComputesSameAsBaseGradientProcedure(int nparams) {
    int iter = 10;
    rdg = new RandomDataGenerator(new Well19937c(30051977));
    ArrayList<double[]> paramsList = new ArrayList<double[]>(iter);
    ArrayList<double[]> yList = new ArrayList<double[]>(iter);
    createFakeData(nparams, iter, paramsList, yList);
    FakeGradientFunction func = new FakeGradientFunction(blockWidth, nparams);
    for (int i = 0; i < paramsList.size(); i++) {
        FastMLEGradient2Procedure p = FastMLEGradient2ProcedureFactory.createUnrolled(yList.get(i), func);
        FastMLEJacobianGradient2Procedure p2 = new FastMLEJacobianGradient2Procedure(yList.get(i), func);
        p.computeSecondDerivative(paramsList.get(i));
        p2.computeSecondDerivative(paramsList.get(i));
        // Virtually the same ...
        Assert.assertArrayEquals(p.d1, p2.d1, 1e-5);
        Assert.assertArrayEquals(p.d2, p2.d2, 1e-5);
    }
}