public void Alpha_ErgodicAndNotNormalized_AlphaCalculated()
{
const int numberOfStates = 2;
var util = new TestDataUtils();
var observations = util.GetSvcData(util.FTSEFilePath, new DateTime(2011, 11, 18), new DateTime(2011, 12, 18));
var model = HiddenMarkovModelStateFactory.GetState(new ModelCreationParameters <NormalDistribution>()
{
NumberOfStates = numberOfStates, Emissions = CreateEmissions(observations, numberOfStates)
}); //new HiddenMarkovModelState<NormalDistribution>(numberOfStates, CreateEmissions(observations, numberOfStates)) { LogNormalized = true };
model.Normalized = false;
var alphaEstimator = new AlphaEstimator <NormalDistribution>();
var alpha = alphaEstimator.Estimate(new BasicEstimationParameters <NormalDistribution> {
Model = model, Observations = Helper.Convert(observations), Normalized = model.Normalized
});
Assert.IsNotNull(alpha);
for (int i = 0; i < observations.Length; i++)
{
for (int j = 0; j < numberOfStates; j++)
{
Assert.IsTrue(alpha[i][j] > 0 && alpha[i][j] < 1, string.Format("Failed Alpha [{0}][{1}] : {2}", i, j, alpha[i][j]));
}
}
}
public void Ksi_ErgodicNotNormalized_EachEntryMatrixIsSummedToOne()
{
var util = new TestDataUtils();
var observations = util.GetSvcData(util.FTSEFilePath, new DateTime(2011, 11, 18), new DateTime(2011, 12, 18));
var model = HiddenMarkovModelStateFactory.GetState(new ModelCreationParameters <NormalDistribution>()
{
NumberOfStates = NumberOfStates, Emissions = CreateEmissions(observations, NumberOfStates)
}); //new HiddenMarkovModelState<NormalDistribution>(NumberOfStates, CreateEmissions(observations, NumberOfStates)) { LogNormalized = true };
model.Normalized = false;
var baseParameters = new BasicEstimationParameters <NormalDistribution> {
Model = model, Observations = Helper.Convert(observations), Normalized = model.Normalized
};
var alphaEstimator = new AlphaEstimator <NormalDistribution>();
var alpha = alphaEstimator.Estimate(baseParameters);
var betaEstimator = new BetaEstimator <NormalDistribution>();
var beta = betaEstimator.Estimate(baseParameters);
var @params = new AdvancedEstimationParameters <NormalDistribution>
{
Alpha = alpha,
Beta = beta,
Observations = Helper.Convert(observations),
Model = model,
Normalized = model.Normalized
};
var estimator = new KsiEstimator <NormalDistribution>();
for (int t = 0; t < observations.Length - 1; t++)
{
Assert.AreEqual(1.0d, Math.Round(estimator.Estimate(@params)[t].Sum(), 5), string.Format("Failed Ksi [{1}] :{0}", new Matrix(estimator.Estimate(@params)[t]), t));
}
}
public void Sigma_ErgodicAndObservationAndLogNormalized_SigmaCalculated()
{
var util = new TestDataUtils();
var observations = util.GetSvcData(util.FTSEFilePath, new DateTime(2011, 11, 18), new DateTime(2011, 12, 18));
var sequence = Helper.Convert(observations);
var model = HiddenMarkovModelStateFactory.GetState(new ModelCreationParameters <NormalDistribution>()
{
NumberOfStates = NumberOfStates, Emissions = CreateEmissions(observations, NumberOfStates)
}); //new HiddenMarkovModelState<NormalDistribution>(NumberOfStates, CreateEmissions(observations, NumberOfStates)) { LogNormalized = true };
model.Normalized = true;
var baseParameters = new BasicEstimationParameters <NormalDistribution> {
Model = model, Observations = sequence, Normalized = model.Normalized
};
var alphaEstimator = new AlphaEstimator <NormalDistribution>();
var alpha = alphaEstimator.Estimate(baseParameters);
var betaEstimator = new BetaEstimator <NormalDistribution>();
var beta = betaEstimator.Estimate(baseParameters);
var @params = new AdvancedEstimationParameters <NormalDistribution>
{
Alpha = alpha,
Beta = beta,
Observations = sequence,
Model = model
};
var gammaEstimator = new GammaEstimator <NormalDistribution>();
var muEstimator = new MuMultivariateEstimator <NormalDistribution>();
var estimator = new SigmaMultivariateEstimator <NormalDistribution>();
var muParams = new MuEstimationParameters <NormalDistribution>
{
Gamma = gammaEstimator.Estimate(@params),
Model = model,
Normalized = model.Normalized,
Observations = Helper.Convert(observations)
};
Assert.IsNotNull(estimator);
var sigma = estimator.Estimate(new SigmaEstimationParameters <NormalDistribution, double[][]>(muParams)
{
Mean = muEstimator.Estimate(muParams)
});
for (int n = 0; n < NumberOfStates; n++)
{
for (int i = 0; i < sequence[0].Dimention; i++)
{
for (int j = 0; j < sequence[0].Dimention; j++)
{
Assert.IsTrue(sigma[n][i, j] > 0, string.Format("Failed Sigma {0}", sigma[n][i, j]));
}
}
}
}
public void Sigma_RightLeftAndParametersAnnNotNormalized_SigmaCalculated()
{
var delta = 3;
var util = new TestDataUtils();
var observations = util.GetSvcData(util.FTSEFilePath, new DateTime(2011, 11, 18), new DateTime(2011, 12, 18));
var model = HiddenMarkovModelStateFactory.GetState(new ModelCreationParameters <Mixture <IMultivariateDistribution> >()
{
NumberOfStates = NumberOfStatesRightLeft, Delta = delta, Emissions = CreateEmissions(observations, NumberOfStatesRightLeft, NumberOfComponents)
}); //new HiddenMarkovModelState<Mixture<IMultivariateDistribution>>(NumberOfStatesRightLeft, delta, CreateEmissions(observations, NumberOfStatesRightLeft, NumberOfComponents)) { LogNormalized = false };
model.Normalized = false;
var baseParameters = new BasicEstimationParameters <Mixture <IMultivariateDistribution> > {
Model = model, Observations = Helper.Convert(observations), Normalized = model.Normalized
};
var alphaEstimator = new AlphaEstimator <Mixture <IMultivariateDistribution> >();
var alpha = alphaEstimator.Estimate(baseParameters);
var betaEstimator = new BetaEstimator <Mixture <IMultivariateDistribution> >();
var beta = betaEstimator.Estimate(baseParameters);
var parameters = new ParameterEstimations <Mixture <IMultivariateDistribution> >(model, Helper.Convert(observations), alpha, beta);
var sigma = new MixtureSigmaEstimator <Mixture <IMultivariateDistribution> >();
var mixtureGammaEstimator = new MixtureGammaEstimator <Mixture <IMultivariateDistribution> >();
var mixtureMuEstimator = new MixtureMuEstimator <Mixture <IMultivariateDistribution> >();
var @params = new MixtureSigmaEstimationParameters <Mixture <IMultivariateDistribution> >
{
Model = model,
Normalized = model.Normalized,
Alpha = alpha,
Beta = beta,
Observations = Helper.Convert(observations),
L = model.Emission[0].Components.Length
};
var gamma = mixtureGammaEstimator.Estimate(@params as AdvancedEstimationParameters <Mixture <IMultivariateDistribution> >);
var gammaComponens = mixtureGammaEstimator.Estimate(@params);
@params.Gamma = gamma;
@params.GammaComponents = gammaComponens;
@params.Mu = mixtureMuEstimator.Estimate(@params);
for (int i = 0; i < NumberOfStatesRightLeft; i++)
{
for (int l = 0; l < NumberOfComponents; l++)
{
for (int rows = 0; rows < parameters.Observation[0].Dimention; rows++)
{
for (int cols = 0; cols < parameters.Observation[0].Dimention; cols++)
{
Assert.IsTrue(sigma.Estimate(@params)[i, l][rows, cols] > 0, string.Format("Failed Sigma {0}", sigma.Estimate(@params)[i, l][rows, cols]));
}
}
}
}
}
public void Estimate_KsiGammaParameters_TransitionProbabilityMatrixCalculatedAndReturned()
{
const int numberOfStates = 2;
var util = new TestDataUtils();
var observations = util.GetSvcData(util.FTSEFilePath, new DateTime(2010, 12, 18), new DateTime(2011, 12, 18));
var model = HiddenMarkovModelStateFactory.GetState(new ModelCreationParameters <NormalDistribution>()
{
NumberOfStates = numberOfStates, Emissions = CreateEmissions(observations, numberOfStates)
});
model.Normalized = true;
var observationsList = new List <IObservation>();
for (var i = 0; i < observations.Length; i++)
{
observationsList.Add(new Observation(observations[i], i.ToString()));
}
var baseEstimator = new BasicEstimationParameters <NormalDistribution> {
Model = model, Observations = Helper.Convert(observations), Normalized = model.Normalized
};
var alphaEstimator = new AlphaEstimator <NormalDistribution>();
var alpha = alphaEstimator.Estimate(baseEstimator);
var betaEstimator = new BetaEstimator <NormalDistribution>();
var beta = betaEstimator.Estimate(baseEstimator);
var @params = new AdvancedEstimationParameters <NormalDistribution>
{
Alpha = alpha,
Beta = beta,
Observations = observationsList,
Model = model,
Normalized = model.Normalized
};
var gammaEstimator = new GammaEstimator <NormalDistribution>();
var ksiEstimator = new KsiEstimator <NormalDistribution>();
var gamma = gammaEstimator.Estimate(@params);
var ksi = ksiEstimator.Estimate(@params);
var estimator = new TransitionProbabilityEstimator <NormalDistribution>();
var parameters = new KsiGammaTransitionProbabilityMatrixParameters <NormalDistribution>
{
Model = model,
Ksi = ksi,
Gamma = gamma,
T = observations.Length,
Normalized = model.Normalized
};
var estimatedTransitionProbabilityMatrix = estimator.Estimate(parameters);
Assert.AreEqual(1d, Math.Round(estimatedTransitionProbabilityMatrix[0][0] + estimatedTransitionProbabilityMatrix[0][1], 5));
Assert.AreEqual(1d, Math.Round(estimatedTransitionProbabilityMatrix[1][0] + estimatedTransitionProbabilityMatrix[1][1], 5));
}
public void Mu_MultivariateAndRightLeftAndNotNormalized_MuCalculated()
{
var delta = 3;
var util = new TestDataUtils();
var observations = util.GetSvcData(util.FTSEFilePath, new DateTime(2011, 11, 18), new DateTime(2011, 12, 18));
var sequence = Helper.Convert(observations);
var model = HiddenMarkovModelStateFactory.GetState(new ModelCreationParameters <NormalDistribution>()
{
NumberOfStates = NumberOfStatesRightLeft, Delta = delta, Emissions = CreateEmissions(observations, NumberOfStatesRightLeft)
}); //new HiddenMarkovModelState<NormalDistribution>(NumberOfStatesRightLeft, delta, CreateEmissions(observations, NumberOfStatesRightLeft)) { LogNormalized = false };
model.Normalized = false;
var baseParameters = new BasicEstimationParameters <NormalDistribution> {
Model = model, Observations = sequence, Normalized = model.Normalized
};
var alphaEstimator = new AlphaEstimator <NormalDistribution>();
var alpha = alphaEstimator.Estimate(baseParameters);
var betaEstimator = new BetaEstimator <NormalDistribution>();
var beta = betaEstimator.Estimate(baseParameters);
var @params = new AdvancedEstimationParameters <NormalDistribution>
{
Alpha = alpha,
Beta = beta,
Observations = sequence,
Model = model
};
var gammaEstimator = new GammaEstimator <NormalDistribution>();
var estimator = new MuMultivariateEstimator <NormalDistribution>();
var muParams = new MuEstimationParameters <NormalDistribution>
{
Gamma = gammaEstimator.Estimate(@params),
Model = model,
Normalized = model.Normalized,
Observations = sequence
};
Assert.IsNotNull(estimator);
var mu = estimator.Estimate(muParams);
for (int i = 0; i < NumberOfStatesRightLeft; i++)
{
for (int j = 0; j < sequence[0].Dimention; j++)
{
Assert.IsTrue(mu[i][j] > 0, string.Format("Failed Mu {0}", mu[i][j]));
}
}
}
public void Mu_ErgodicAndLogNormalized_MuCalculated()
{
var util = new TestDataUtils();
var observations = util.GetSvcData(util.FTSEFilePath, new DateTime(2011, 11, 18), new DateTime(2011, 12, 18));
var model = HiddenMarkovModelStateFactory.GetState(new ModelCreationParameters <Mixture <IMultivariateDistribution> >()
{
NumberOfStates = NumberOfStates, Emissions = CreateEmissions(observations, NumberOfStates, NumberOfComponents)
}); //new HiddenMarkovModelState<Mixture<IMultivariateDistribution>>(NumberOfStates, CreateEmissions(observations, NumberOfStates, NumberOfComponents)) { LogNormalized = true };
model.Normalized = true;
var baseParameters = new BasicEstimationParameters <Mixture <IMultivariateDistribution> > {
Model = model, Observations = Helper.Convert(observations), Normalized = model.Normalized
};
var alphaEstimator = new AlphaEstimator <Mixture <IMultivariateDistribution> >();
var alpha = alphaEstimator.Estimate(baseParameters);
var betaEstimator = new BetaEstimator <Mixture <IMultivariateDistribution> >();
var beta = betaEstimator.Estimate(baseParameters);
var mu = new MixtureMuEstimator <Mixture <IMultivariateDistribution> >();
var mixtureGammaEstimator = new MixtureGammaEstimator <Mixture <IMultivariateDistribution> >();
var @params = new MixtureCoefficientEstimationParameters <Mixture <IMultivariateDistribution> >
{
Model = model,
Normalized = model.Normalized,
Alpha = alpha,
Beta = beta,
Observations = Helper.Convert(observations),
L = model.Emission[0].Components.Length
};
var gamma = mixtureGammaEstimator.Estimate(@params as AdvancedEstimationParameters <Mixture <IMultivariateDistribution> >);
var gammaComponens = mixtureGammaEstimator.Estimate(@params);
@params.Gamma = gamma;
@params.GammaComponents = gammaComponens;
for (int i = 0; i < NumberOfStates; i++)
{
for (int l = 0; l < NumberOfComponents; l++)
{
for (int d = 0; d < observations[0].Length; d++)
{
Assert.IsTrue(mu.Estimate(@params)[i, l][d] > 0, string.Format("Failed Mu {0}", mu.Estimate(@params)[i, l][d]));
}
}
}
}
public void AlphaEstimator_ABBAObservations_NotNormalizedTest()
{
var startDistribution = new[] { 0.85, 0.15 };
// s = 0, t = 1
var tpm = new double[2][];
tpm[0] = new[] { 0.3, 0.7 };
tpm[1] = new[] { 0.1, 0.9 };
var observations = new List <IObservation>
{
new Observation(new double[] { 0 }, "A"),
new Observation(new double[] { 1 }, "B"),
new Observation(new double[] { 1 }, "B"),
new Observation(new double[] { 0 }, "A")
};
var emissions = new DiscreteDistribution[2];
emissions[0] = new DiscreteDistribution(new double[] { 0, 1 }, new[] { 0.4, 0.6 });
emissions[1] = new DiscreteDistribution(new double[] { 0, 1 }, new[] { 0.5, 0.5 });
var model = HiddenMarkovModelFactory.GetModel(new ModelCreationParameters <DiscreteDistribution>()
{
Pi = startDistribution, TransitionProbabilityMatrix = tpm, Emissions = emissions
}); //new HiddenMarkovModel(startDistribution, tpm, emissions) { LogNormalized = false };
model.Normalized = false;
var alphaEstimator = new AlphaEstimator <DiscreteDistribution>();
var alpha = alphaEstimator.Estimate(new BasicEstimationParameters <DiscreteDistribution> {
Model = model, Observations = observations, Normalized = model.Normalized
});
Assert.AreEqual(0.34, Math.Round(alpha[0][0], 9));
Assert.AreEqual(0.075, Math.Round(alpha[0][1], 9));
Assert.AreEqual(0.0657, Math.Round(alpha[1][0], 9));
Assert.AreEqual(0.15275, Math.Round(alpha[1][1], 9));
Assert.AreEqual(0.020991, Math.Round(alpha[2][0], 9));
Assert.AreEqual(0.0917325, Math.Round(alpha[2][1], 9));
Assert.AreEqual(0.00618822, Math.Round(alpha[3][0], 9));
Assert.AreEqual(0.048626475, Math.Round(alpha[3][1], 9));
}
public void Ksi_RightLeftAndNotNormalized_KsiCalculated()
{
var delta = 3;
var numberOfStatesRightLeft = 4;
var util = new TestDataUtils();
var observations = util.GetSvcData(util.FTSEFilePath, new DateTime(2011, 11, 18), new DateTime(2011, 12, 18));
var model = HiddenMarkovModelStateFactory.GetState(new ModelCreationParameters <NormalDistribution>()
{
NumberOfStates = numberOfStatesRightLeft, Delta = delta, Emissions = CreateEmissions(observations, numberOfStatesRightLeft)
}); //new HiddenMarkovModelState<NormalDistribution>(numberOfStatesRightLeft, delta, CreateEmissions(observations, numberOfStatesRightLeft)) { LogNormalized = true };
model.Normalized = false;
var baseParameters = new BasicEstimationParameters <NormalDistribution> {
Model = model, Observations = Helper.Convert(observations), Normalized = model.Normalized
};
var alphaEstimator = new AlphaEstimator <NormalDistribution>();
var alpha = alphaEstimator.Estimate(baseParameters);
var betaEstimator = new BetaEstimator <NormalDistribution>();
var beta = betaEstimator.Estimate(baseParameters);
var @params = new AdvancedEstimationParameters <NormalDistribution>
{
Alpha = alpha,
Beta = beta,
Observations = Helper.Convert(observations),
Model = model,
Normalized = model.Normalized
};
var estimator = new KsiEstimator <NormalDistribution>();
Assert.IsNotNull(estimator);
for (int t = 0; t < observations.Length - 1; t++)
{
for (int i = 0; i < numberOfStatesRightLeft; i++)
{
for (int j = 0; j < numberOfStatesRightLeft; j++)
{
Assert.IsTrue(estimator.Estimate(@params)[t][i, j] >= 0 && estimator.Estimate(@params)[t][i, j] < 1, string.Format("Failed Ksi [{1}][{2},{3}]:{0}", estimator.Estimate(@params)[t][i, j], t, i, j));
}
}
}
}
public void Ksi_ErgodicAndLogNormalized_KsiCalculated()
{
var util = new TestDataUtils();
var observations = util.GetSvcData(util.FTSEFilePath, new DateTime(2011, 11, 18), new DateTime(2011, 12, 18));
var model = HiddenMarkovModelStateFactory.GetState(new ModelCreationParameters <NormalDistribution>()
{
NumberOfStates = NumberOfStates, Emissions = CreateEmissions(observations, NumberOfStates)
}); //new HiddenMarkovModelState<NormalDistribution>(NumberOfStates, CreateEmissions(observations, NumberOfStates)) { LogNormalized = true };
model.Normalized = true;
var baseParameters = new BasicEstimationParameters <NormalDistribution> {
Model = model, Observations = Helper.Convert(observations), Normalized = model.Normalized
};
var alphaEstimator = new AlphaEstimator <NormalDistribution>();
var alpha = alphaEstimator.Estimate(baseParameters);
var betaEstimator = new BetaEstimator <NormalDistribution>();
var beta = betaEstimator.Estimate(baseParameters);
var @params = new AdvancedEstimationParameters <NormalDistribution>
{
Alpha = alpha,
Beta = beta,
Observations = Helper.Convert(observations),
Model = model,
Normalized = model.Normalized
};
var estimator = new KsiEstimator <NormalDistribution>();
Assert.IsNotNull(estimator);
for (int t = 0; t < observations.Length - 1; t++)
{
for (int i = 0; i < NumberOfStates; i++)
{
for (int j = 0; j < NumberOfStates; j++)
{
Assert.IsTrue(estimator.Estimate(@params)[t][i, j] < 0, string.Format("Failed Ksi {0}", estimator.Estimate(@params)[t][i, j]));
}
}
}
}
public void Estimate_AlphaBetaParameters_TransitionProbabilityMatrixCalculatedAndReturned()
{
const int numberOfStates = 2;
var util = new TestDataUtils();
var observations = util.GetSvcData(util.FTSEFilePath, new DateTime(2010, 12, 18), new DateTime(2011, 12, 18));
var model = HiddenMarkovModelStateFactory.GetState(new ModelCreationParameters <NormalDistribution>()
{
NumberOfStates = numberOfStates, Emissions = CreateEmissions(observations, numberOfStates)
});
model.Normalized = true;
var baseParameters = new BasicEstimationParameters <NormalDistribution> {
Model = model, Observations = Helper.Convert(observations), Normalized = model.Normalized
};
var alphaEstimator = new AlphaEstimator <NormalDistribution>();
var alpha = alphaEstimator.Estimate(baseParameters);
var betaEstimator = new BetaEstimator <NormalDistribution>();
var beta = betaEstimator.Estimate(baseParameters);
var weights = new double[observations.Length];
var estimator = new TransitionProbabilityEstimator <NormalDistribution>();
var parameters = new AlphaBetaTransitionProbabiltyMatrixParameters <NormalDistribution>
{
Alpha = alpha,
Beta = beta,
Model = model,
Observations = observations,
Normalized = model.Normalized,
Weights = weights
};
var estimatedTransitionProbabilityMatrix = estimator.Estimate(parameters);
Assert.AreEqual(1d, Math.Round(estimatedTransitionProbabilityMatrix[0][0] + estimatedTransitionProbabilityMatrix[0][1], 5));
Assert.AreEqual(1d, Math.Round(estimatedTransitionProbabilityMatrix[1][0] + estimatedTransitionProbabilityMatrix[1][1], 5));
}
public void AlphaEstimator_ModelAndObservations_AlphaEstimatorCreated()
{
var alphaEstimator = new AlphaEstimator <NormalDistribution>();
Assert.IsNotNull(alphaEstimator);
}
public void KsiEstimator_ABBAObservation_NotNormalizedTest()
{
var startDistribution = new[] { 0.85, 0.15 };
// s = 0, t = 1
var tpm = new double[2][];
tpm[0] = new[] { 0.3, 0.7 };
tpm[1] = new[] { 0.1, 0.9 };
var observations = new List <IObservation>
{
new Observation(new double[] { 0 }, "A"),
new Observation(new double[] { 1 }, "B"),
new Observation(new double[] { 1 }, "B"),
new Observation(new double[] { 0 }, "A")
};
var emissions = new DiscreteDistribution[2];
emissions[0] = new DiscreteDistribution(new double[] { 0, 1 }, new[] { 0.4, 0.6 });
emissions[1] = new DiscreteDistribution(new double[] { 0, 1 }, new[] { 0.5, 0.5 });
var model = HiddenMarkovModelFactory.GetModel(new ModelCreationParameters <DiscreteDistribution>()
{
Pi = startDistribution, TransitionProbabilityMatrix = tpm, Emissions = emissions
}); //new HiddenMarkovModel(startDistribution, tpm, emissions) { LogNormalized = false };
model.Normalized = false;
var baseParameters = new BasicEstimationParameters <DiscreteDistribution> {
Model = model, Observations = observations, Normalized = model.Normalized
};
var alphaEstimator = new AlphaEstimator <DiscreteDistribution>();
var alpha = alphaEstimator.Estimate(baseParameters);
var betaEstimator = new BetaEstimator <DiscreteDistribution>();
var beta = betaEstimator.Estimate(baseParameters);
var @params = new AdvancedEstimationParameters <DiscreteDistribution>
{
Alpha = alpha,
Beta = beta,
Observations = observations,
Model = model,
Normalized = model.Normalized
};
var ksiEstimator = new KsiEstimator <DiscreteDistribution>();
var ksi = ksiEstimator.Estimate(@params);
Assert.AreEqual(0.28593281418422561, ksi[0][0, 0]);
Assert.AreEqual(0.53991543690975563, ksi[0][0, 1]);
Assert.AreEqual(0.021024471631193059, ksi[0][1, 0]);
Assert.AreEqual(0.15312727727482567, ksi[0][1, 1]);
Assert.AreEqual(1d, ksi[0].Sum());
Assert.AreEqual(0.10140018110107153, ksi[1][0, 0]);
Assert.AreEqual(0.20555710471434716, ksi[1][0, 1]);
Assert.AreEqual(0.0785838542018705, ksi[1][1, 0]);
Assert.AreEqual(0.61445885998271088, ksi[1][1, 1]);
Assert.AreEqual(1d, ksi[1].Sum());
Assert.AreEqual(0.045953370715644766, ksi[2][0, 0]);
Assert.AreEqual(0.13403066458729723, ksi[2][0, 1]);
Assert.AreEqual(0.06694007875078023, ksi[2][1, 0]);
Assert.AreEqual(0.75307588594627772, ksi[2][1, 1]);
Assert.AreEqual(1d, ksi[2].Sum());
}
public void GammaEstimator_ABBAObservations_NotNormalizedTest()
{
var startDistribution = new[] { 0.85, 0.15 };
// s = 0, t = 1
var tpm = new double[2][];
tpm[0] = new[] { 0.3, 0.7 };
tpm[1] = new[] { 0.1, 0.9 };
var observations = new List <IObservation>
{
new Observation(new double[] { 0 }, "A"),
new Observation(new double[] { 1 }, "B"),
new Observation(new double[] { 1 }, "B"),
new Observation(new double[] { 0 }, "A")
};
var emissions = new DiscreteDistribution[2];
emissions[0] = new DiscreteDistribution(new double[] { 0, 1 }, new[] { 0.4, 0.6 });
emissions[1] = new DiscreteDistribution(new double[] { 0, 1 }, new[] { 0.5, 0.5 });
var model = HiddenMarkovModelFactory.GetModel(new ModelCreationParameters <DiscreteDistribution>()
{
Pi = startDistribution, TransitionProbabilityMatrix = tpm, Emissions = emissions
}); //new HiddenMarkovModel(startDistribution, tpm, emissions) { LogNormalized = false };
model.Normalized = false;
var baseParameters = new BasicEstimationParameters <DiscreteDistribution> {
Model = model, Observations = observations, Normalized = model.Normalized
};
var alphaEstimator = new AlphaEstimator <DiscreteDistribution>();
var alpha = alphaEstimator.Estimate(baseParameters);
var betaEstimator = new BetaEstimator <DiscreteDistribution>();
var beta = betaEstimator.Estimate(baseParameters);
var @params = new AdvancedEstimationParameters <DiscreteDistribution>
{
Alpha = alpha,
Beta = beta,
Observations = observations,
Model = model
};
var gammaEstimator = new GammaEstimator <DiscreteDistribution>();
var gamma = gammaEstimator.Estimate(@params);
Assert.AreEqual(0.8258482510939813, gamma[0][0]);
Assert.AreEqual(0.17415174890601867, gamma[0][1]);
Assert.AreEqual(1d, gamma[0].Sum());
Assert.AreEqual(0.3069572858154187, gamma[1][0]);
Assert.AreEqual(0.69304271418458141, gamma[1][1]);
Assert.AreEqual(1d, gamma[1].Sum());
Assert.AreEqual(0.17998403530294202, gamma[2][0]);
Assert.AreEqual(0.82001596469705806, gamma[2][1]);
Assert.AreEqual(1d, gamma[2].Sum());
Assert.AreEqual(0.112893449466425, gamma[3][0]);
Assert.AreEqual(0.887106550533575, gamma[3][1]);
Assert.AreEqual(1d, gamma[2].Sum());
}
