@Override
  public EF_LearningBayesianNetwork transitionModel(
      EF_LearningBayesianNetwork bayesianNetwork, PlateuStructure plateuStructure) {

    for (Variable localVar : this.localHiddenVars) {
      Normal normalGlobalHiddenPreviousTimeStep =
          plateuStructure.getEFVariablePosterior(localVar, 0).toUnivariateDistribution();

      EF_NormalGamma normal = bayesianNetwork.getDistribution(localVar);

      Variable gammaVar = normal.getGammaParameterVariable();

      EF_Gamma gamma = bayesianNetwork.getDistribution(gammaVar);

      double variance = normalGlobalHiddenPreviousTimeStep.getVariance() + this.transtionVariance;

      double alpha = 1000;
      double beta = alpha * variance;

      gamma.getNaturalParameters().set(0, alpha - 1);
      gamma.getNaturalParameters().set(1, -beta);
      gamma.fixNumericalInstability();
      gamma.updateMomentFromNaturalParameters();

      Variable meanVar = normal.getMeanParameterVariable();
      EF_Normal meanDist = bayesianNetwork.getDistribution(meanVar);

      double mean = normalGlobalHiddenPreviousTimeStep.getMean();

      meanDist.getNaturalParameters().set(0, mean / (variance));
      meanDist.getNaturalParameters().set(1, -1 / (2 * variance));
      meanDist.fixNumericalInstability();
      meanDist.updateMomentFromNaturalParameters();
    }

    /** *** FADING *** */
    if (fading < 1.0) {
      bayesianNetwork
          .getParametersVariables()
          .getListOfParamaterVariables()
          .stream()
          .forEach(
              var -> {
                EF_BaseDistribution_MultinomialParents dist = bayesianNetwork.getDistribution(var);
                EF_UnivariateDistribution prior = dist.getBaseEFUnivariateDistribution(0);
                NaturalParameters naturalParameters = prior.getNaturalParameters();
                naturalParameters.multiplyBy(fading);
                prior.setNaturalParameters(naturalParameters);
                dist.setBaseEFDistribution(0, prior);
              });
    }

    return bayesianNetwork;
  }
  @Override
  public EF_LearningBayesianNetwork initModel(
      EF_LearningBayesianNetwork bayesianNetwork, PlateuStructure plateuStructure) {

    for (Variable paramVariable :
        bayesianNetwork.getParametersVariables().getListOfParamaterVariables()) {

      if (!paramVariable.isNormalParameter()) continue;

      // if (paramVariable.getName().contains("_Beta0_"))
      //    continue;

      EF_Normal prior = bayesianNetwork.getDistribution(paramVariable);

      double varPrior = 1;
      double precisionPrior = 1 / varPrior;
      double meanPrior = 0;

      prior.getNaturalParameters().set(0, precisionPrior * meanPrior);
      prior.getNaturalParameters().set(1, -0.5 * precisionPrior);
      prior.fixNumericalInstability();
      prior.updateMomentFromNaturalParameters();
    }

    for (Variable localVar : this.localHiddenVars) {

      EF_NormalGamma normal = bayesianNetwork.getDistribution(localVar);

      Variable gammaVar = normal.getGammaParameterVariable();

      EF_Gamma gamma = bayesianNetwork.getDistribution(gammaVar);

      int initVariance = 1;
      double alpha = 1000;
      double beta = alpha * initVariance;

      gamma.getNaturalParameters().set(0, alpha - 1);
      gamma.getNaturalParameters().set(1, -beta);
      gamma.fixNumericalInstability();
      gamma.updateMomentFromNaturalParameters();

      Variable meanVar = normal.getMeanParameterVariable();
      EF_Normal meanDist = bayesianNetwork.getDistribution(meanVar);

      double mean = meanStart;
      double var = initVariance;

      meanDist.getNaturalParameters().set(0, mean / (var));
      meanDist.getNaturalParameters().set(1, -1 / (2 * var));
      meanDist.fixNumericalInstability();
      meanDist.updateMomentFromNaturalParameters();
    }

    return bayesianNetwork;
  }