Examples with AbstractUnivariateSolver org.apache.commons.math3.analysis.solvers.AbstractUnivariateSolver used on opensource projects

Example 1 with AbstractUnivariateSolver

use of org.apache.commons.math3.analysis.solvers.AbstractUnivariateSolver in project gatk-protected by broadinstitute.

the class CoverageModelEMWorkspace method updateSampleUnexplainedVariance.

/**
     * E-step update of the sample-specific unexplained variance
     *
     * @return a {@link SubroutineSignal} containing the update size (key: "error_norm") and the average
     * number of function evaluations per sample (key: "iterations")
     */
@EvaluatesRDD
@UpdatesRDD
@CachesRDD
public SubroutineSignal updateSampleUnexplainedVariance() {
    mapWorkers(cb -> cb.cloneWithUpdatedCachesByTag(CoverageModelEMComputeBlock.CoverageModelICGCacheTag.E_STEP_GAMMA));
    cacheWorkers("after E-step for sample unexplained variance initialization");
    /* create a compound objective function for simultaneous multi-sample queries */
    final java.util.function.Function<Map<Integer, Double>, Map<Integer, Double>> objFunc = arg -> {
        if (arg.isEmpty()) {
            return Collections.emptyMap();
        }
        final int[] sampleIndices = arg.keySet().stream().mapToInt(i -> i).toArray();
        final INDArray gammaValues = Nd4j.create(Arrays.stream(sampleIndices).mapToDouble(arg::get).toArray(), new int[] { sampleIndices.length, 1 });
        final INDArray eval = mapWorkersAndReduce(cb -> cb.calculateSampleSpecificVarianceObjectiveFunctionMultiSample(sampleIndices, gammaValues), INDArray::add);
        final Map<Integer, Double> output = new HashMap<>();
        IntStream.range(0, sampleIndices.length).forEach(evalIdx -> output.put(sampleIndices[evalIdx], eval.getDouble(evalIdx)));
        return output;
    };
    final java.util.function.Function<UnivariateSolverSpecifications, AbstractUnivariateSolver> solverFactory = spec -> new RobustBrentSolver(spec.getRelativeAccuracy(), spec.getAbsoluteAccuracy(), spec.getFunctionValueAccuracy(), null, config.getSampleSpecificVarianceSolverNumBisections(), config.getSampleSpecificVarianceSolverRefinementDepth());
    /* instantiate a synchronized multi-sample root finder and add jobs */
    final SynchronizedUnivariateSolver syncSolver = new SynchronizedUnivariateSolver(objFunc, solverFactory, numSamples);
    IntStream.range(0, numSamples).forEach(si -> {
        final double x0 = 0.5 * config.getSampleSpecificVarianceUpperLimit();
        syncSolver.add(si, 0, config.getSampleSpecificVarianceUpperLimit(), x0, config.getSampleSpecificVarianceAbsoluteTolerance(), config.getSampleSpecificVarianceRelativeTolerance(), config.getSampleSpecificVarianceMaximumIterations());
    });
    /* solve and collect statistics */
    final INDArray newSampleUnexplainedVariance = Nd4j.create(numSamples, 1);
    final List<Integer> numberOfEvaluations = new ArrayList<>(numSamples);
    try {
        final Map<Integer, SynchronizedUnivariateSolver.UnivariateSolverSummary> newSampleSpecificVarianceMap = syncSolver.solve();
        newSampleSpecificVarianceMap.entrySet().forEach(entry -> {
            final int sampleIndex = entry.getKey();
            final SynchronizedUnivariateSolver.UnivariateSolverSummary summary = entry.getValue();
            double val = 0;
            switch(summary.status) {
                case SUCCESS:
                    val = summary.x;
                    break;
                case TOO_MANY_EVALUATIONS:
                    logger.warn("Could not locate the root of gamma -- increase the maximum number of" + "function evaluations");
                    break;
            }
            newSampleUnexplainedVariance.put(sampleIndex, 0, val);
            numberOfEvaluations.add(summary.evaluations);
        });
    } catch (final InterruptedException ex) {
        throw new RuntimeException("The update of sample unexplained variance was interrupted -- can not continue");
    }
    /* admix */
    final INDArray newSampleUnexplainedVarianceAdmixed = newSampleUnexplainedVariance.mul(config.getMeanFieldAdmixingRatio()).addi(sampleUnexplainedVariance.mul(1 - config.getMeanFieldAdmixingRatio()));
    /* calculate the error */
    final double errorNormInfinity = CoverageModelEMWorkspaceMathUtils.getINDArrayNormInfinity(newSampleUnexplainedVarianceAdmixed.sub(sampleUnexplainedVariance));
    /* update local copy */
    sampleUnexplainedVariance.assign(newSampleUnexplainedVarianceAdmixed);
    /* push to workers */
    pushToWorkers(newSampleUnexplainedVarianceAdmixed, (arr, cb) -> cb.cloneWithUpdatedPrimitive(CoverageModelEMComputeBlock.CoverageModelICGCacheNode.gamma_s, newSampleUnexplainedVarianceAdmixed));
    final int iterations = (int) (numberOfEvaluations.stream().mapToDouble(d -> d).sum() / numSamples);
    return SubroutineSignal.builder().put(StandardSubroutineSignals.RESIDUAL_ERROR_NORM, errorNormInfinity).put(StandardSubroutineSignals.ITERATIONS, iterations).build();
}

Example 2 with AbstractUnivariateSolver

use of org.apache.commons.math3.analysis.solvers.AbstractUnivariateSolver in project gatk by broadinstitute.

the class CoverageModelEMWorkspace method updateSampleUnexplainedVariance.

/**
     * E-step update of the sample-specific unexplained variance
     *
     * @return a {@link SubroutineSignal} containing the update size (key: "error_norm") and the average
     * number of function evaluations per sample (key: "iterations")
     */
@EvaluatesRDD
@UpdatesRDD
@CachesRDD
public SubroutineSignal updateSampleUnexplainedVariance() {
    mapWorkers(cb -> cb.cloneWithUpdatedCachesByTag(CoverageModelEMComputeBlock.CoverageModelICGCacheTag.E_STEP_GAMMA));
    cacheWorkers("after E-step for sample unexplained variance initialization");
    /* create a compound objective function for simultaneous multi-sample queries */
    final java.util.function.Function<Map<Integer, Double>, Map<Integer, Double>> objFunc = arg -> {
        if (arg.isEmpty()) {
            return Collections.emptyMap();
        }
        final int[] sampleIndices = arg.keySet().stream().mapToInt(i -> i).toArray();
        final INDArray gammaValues = Nd4j.create(Arrays.stream(sampleIndices).mapToDouble(arg::get).toArray(), new int[] { sampleIndices.length, 1 });
        final INDArray eval = mapWorkersAndReduce(cb -> cb.calculateSampleSpecificVarianceObjectiveFunctionMultiSample(sampleIndices, gammaValues), INDArray::add);
        final Map<Integer, Double> output = new HashMap<>();
        IntStream.range(0, sampleIndices.length).forEach(evalIdx -> output.put(sampleIndices[evalIdx], eval.getDouble(evalIdx)));
        return output;
    };
    final java.util.function.Function<UnivariateSolverSpecifications, AbstractUnivariateSolver> solverFactory = spec -> new RobustBrentSolver(spec.getRelativeAccuracy(), spec.getAbsoluteAccuracy(), spec.getFunctionValueAccuracy(), null, config.getSampleSpecificVarianceSolverNumBisections(), config.getSampleSpecificVarianceSolverRefinementDepth());
    /* instantiate a synchronized multi-sample root finder and add jobs */
    final SynchronizedUnivariateSolver syncSolver = new SynchronizedUnivariateSolver(objFunc, solverFactory, numSamples);
    IntStream.range(0, numSamples).forEach(si -> {
        final double x0 = 0.5 * config.getSampleSpecificVarianceUpperLimit();
        syncSolver.add(si, 0, config.getSampleSpecificVarianceUpperLimit(), x0, config.getSampleSpecificVarianceAbsoluteTolerance(), config.getSampleSpecificVarianceRelativeTolerance(), config.getSampleSpecificVarianceMaximumIterations());
    });
    /* solve and collect statistics */
    final INDArray newSampleUnexplainedVariance = Nd4j.create(numSamples, 1);
    final List<Integer> numberOfEvaluations = new ArrayList<>(numSamples);
    try {
        final Map<Integer, SynchronizedUnivariateSolver.UnivariateSolverSummary> newSampleSpecificVarianceMap = syncSolver.solve();
        newSampleSpecificVarianceMap.entrySet().forEach(entry -> {
            final int sampleIndex = entry.getKey();
            final SynchronizedUnivariateSolver.UnivariateSolverSummary summary = entry.getValue();
            double val = 0;
            switch(summary.status) {
                case SUCCESS:
                    val = summary.x;
                    break;
                case TOO_MANY_EVALUATIONS:
                    logger.warn("Could not locate the root of gamma -- increase the maximum number of" + "function evaluations");
                    break;
            }
            newSampleUnexplainedVariance.put(sampleIndex, 0, val);
            numberOfEvaluations.add(summary.evaluations);
        });
    } catch (final InterruptedException ex) {
        throw new RuntimeException("The update of sample unexplained variance was interrupted -- can not continue");
    }
    /* admix */
    final INDArray newSampleUnexplainedVarianceAdmixed = newSampleUnexplainedVariance.mul(config.getMeanFieldAdmixingRatio()).addi(sampleUnexplainedVariance.mul(1 - config.getMeanFieldAdmixingRatio()));
    /* calculate the error */
    final double errorNormInfinity = CoverageModelEMWorkspaceMathUtils.getINDArrayNormInfinity(newSampleUnexplainedVarianceAdmixed.sub(sampleUnexplainedVariance));
    /* update local copy */
    sampleUnexplainedVariance.assign(newSampleUnexplainedVarianceAdmixed);
    /* push to workers */
    pushToWorkers(newSampleUnexplainedVarianceAdmixed, (arr, cb) -> cb.cloneWithUpdatedPrimitive(CoverageModelEMComputeBlock.CoverageModelICGCacheNode.gamma_s, newSampleUnexplainedVarianceAdmixed));
    final int iterations = (int) (numberOfEvaluations.stream().mapToDouble(d -> d).sum() / numSamples);
    return SubroutineSignal.builder().put(StandardSubroutineSignals.RESIDUAL_ERROR_NORM, errorNormInfinity).put(StandardSubroutineSignals.ITERATIONS, iterations).build();
}