Dirichlet Class

Infer.NET Documentation

Microsoft Research, Cambridge

A Dirichlet distribution on probability vectors.

Inheritance Hierarchy

System�Object
��MicrosoftResearch.Infer.Distributions�Dirichlet

Namespace:�MicrosoftResearch.Infer.Distributions
Assembly:�Infer.Runtime (in Infer.Runtime.dll) Version: 2.5.30417.0 (2.5.30417.0)

Syntax

C++

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[SerializableAttribute]
[Quality(QualityBand.Mature)]
public�class�Dirichlet : IDistribution<Vector>, 
	ICloneable, HasPoint<Vector>, CanGetLogProb<Vector>, 
	SettableTo<Dirichlet>, SettableToProduct<Dirichlet>, SettableToProduct<Dirichlet, Dirichlet>, 
	Diffable, SettableToUniform, SettableToRatio<Dirichlet>, SettableToRatio<Dirichlet, Dirichlet>, 
	SettableToPower<Dirichlet>, SettableToWeightedSum<Dirichlet>, CanGetLogAverageOf<Dirichlet>, 
	CanGetLogAverageOfPower<Dirichlet>, CanGetAverageLog<Dirichlet>, CanGetLogNormalizer, 
	Sampleable<Vector>, CanGetMean<Vector>, CanGetVariance<Vector>, 
	CanGetMeanAndVariance<Vector, Vector>, CanSetMeanAndVariance<Vector, Vector>

[SerializableAttribute]
[Quality(QualityBand.Mature)]
public�class�Dirichlet : IDistribution<Vector>, 
	ICloneable, HasPoint<Vector>, CanGetLogProb<Vector>, 
	SettableTo<Dirichlet>, SettableToProduct<Dirichlet>, SettableToProduct<Dirichlet, Dirichlet>, 
	Diffable, SettableToUniform, SettableToRatio<Dirichlet>, SettableToRatio<Dirichlet, Dirichlet>, 
	SettableToPower<Dirichlet>, SettableToWeightedSum<Dirichlet>, CanGetLogAverageOf<Dirichlet>, 
	CanGetLogAverageOfPower<Dirichlet>, CanGetAverageLog<Dirichlet>, CanGetLogNormalizer, 
	Sampleable<Vector>, CanGetMean<Vector>, CanGetVariance<Vector>, 
	CanGetMeanAndVariance<Vector, Vector>, CanSetMeanAndVariance<Vector, Vector>

[<SerializableAttribute>]
[<Quality(QualityBand.Mature)>]
type�Dirichlet =  
    class�
��������interface�IDistribution<Vector>
        interface�ICloneable�
��������interface�HasPoint<Vector>
        interface�CanGetLogProb<Vector>
        interface�SettableTo<Dirichlet>
        interface�SettableToProduct<Dirichlet>
        interface�SettableToProduct<Dirichlet, Dirichlet>
        interface�Diffable�
��������interface�SettableToUniform�
��������interface�SettableToRatio<Dirichlet>
        interface�SettableToRatio<Dirichlet, Dirichlet>
        interface�SettableToPower<Dirichlet>
        interface�SettableToWeightedSum<Dirichlet>
        interface�CanGetLogAverageOf<Dirichlet>
        interface�CanGetLogAverageOfPower<Dirichlet>
        interface�CanGetAverageLog<Dirichlet>
        interface�CanGetLogNormalizer�
��������interface�Sampleable<Vector>
        interface�CanGetMean<Vector>
        interface�CanGetVariance<Vector>
        interface�CanGetMeanAndVariance<Vector, Vector>
        interface�CanSetMeanAndVariance<Vector, Vector>
    end

[<SerializableAttribute>]
[<Quality(QualityBand.Mature)>]
type�Dirichlet =  
    class�
��������interface�IDistribution<Vector>
        interface�ICloneable�
��������interface�HasPoint<Vector>
        interface�CanGetLogProb<Vector>
        interface�SettableTo<Dirichlet>
        interface�SettableToProduct<Dirichlet>
        interface�SettableToProduct<Dirichlet, Dirichlet>
        interface�Diffable�
��������interface�SettableToUniform�
��������interface�SettableToRatio<Dirichlet>
        interface�SettableToRatio<Dirichlet, Dirichlet>
        interface�SettableToPower<Dirichlet>
        interface�SettableToWeightedSum<Dirichlet>
        interface�CanGetLogAverageOf<Dirichlet>
        interface�CanGetLogAverageOfPower<Dirichlet>
        interface�CanGetAverageLog<Dirichlet>
        interface�CanGetLogNormalizer�
��������interface�Sampleable<Vector>
        interface�CanGetMean<Vector>
        interface�CanGetVariance<Vector>
        interface�CanGetMeanAndVariance<Vector, Vector>
        interface�CanSetMeanAndVariance<Vector, Vector>
    end

[SerializableAttribute]
[Quality(QualityBand::Mature)]
public�ref class�Dirichlet : IDistribution<Vector^>, 
	ICloneable, HasPoint<Vector^>, CanGetLogProb<Vector^>, 
	SettableTo<Dirichlet^>, SettableToProduct<Dirichlet^>, SettableToProduct<Dirichlet^, Dirichlet^>, 
	Diffable, SettableToUniform, SettableToRatio<Dirichlet^>, SettableToRatio<Dirichlet^, Dirichlet^>, 
	SettableToPower<Dirichlet^>, SettableToWeightedSum<Dirichlet^>, CanGetLogAverageOf<Dirichlet^>, 
	CanGetLogAverageOfPower<Dirichlet^>, CanGetAverageLog<Dirichlet^>, CanGetLogNormalizer, 
	Sampleable<Vector^>, CanGetMean<Vector^>, CanGetVariance<Vector^>, 
	CanGetMeanAndVariance<Vector^, Vector^>, CanSetMeanAndVariance<Vector^, Vector^>

[SerializableAttribute]
[Quality(QualityBand::Mature)]
public�ref class�Dirichlet : IDistribution<Vector^>, 
	ICloneable, HasPoint<Vector^>, CanGetLogProb<Vector^>, 
	SettableTo<Dirichlet^>, SettableToProduct<Dirichlet^>, SettableToProduct<Dirichlet^, Dirichlet^>, 
	Diffable, SettableToUniform, SettableToRatio<Dirichlet^>, SettableToRatio<Dirichlet^, Dirichlet^>, 
	SettableToPower<Dirichlet^>, SettableToWeightedSum<Dirichlet^>, CanGetLogAverageOf<Dirichlet^>, 
	CanGetLogAverageOfPower<Dirichlet^>, CanGetAverageLog<Dirichlet^>, CanGetLogNormalizer, 
	Sampleable<Vector^>, CanGetMean<Vector^>, CanGetVariance<Vector^>, 
	CanGetMeanAndVariance<Vector^, Vector^>, CanSetMeanAndVariance<Vector^, Vector^>

<SerializableAttribute> _
<Quality(QualityBand.Mature)> _
Public�Class�Dirichlet _
	Implements�IDistribution(Of�Vector), ICloneable,  _
	HasPoint(Of�Vector), CanGetLogProb(Of�Vector), SettableTo(Of�Dirichlet),  _
	SettableToProduct(Of�Dirichlet), SettableToProduct(Of�Dirichlet, Dirichlet),  _
	Diffable, SettableToUniform, SettableToRatio(Of�Dirichlet), SettableToRatio(Of�Dirichlet, Dirichlet),  _
	SettableToPower(Of�Dirichlet), SettableToWeightedSum(Of�Dirichlet), CanGetLogAverageOf(Of�Dirichlet),  _
	CanGetLogAverageOfPower(Of�Dirichlet), CanGetAverageLog(Of�Dirichlet), CanGetLogNormalizer,  _
	Sampleable(Of�Vector), CanGetMean(Of�Vector), CanGetVariance(Of�Vector),  _
	CanGetMeanAndVariance(Of�Vector, Vector), CanSetMeanAndVariance(Of�Vector, Vector)

<SerializableAttribute> _
<Quality(QualityBand.Mature)> _
Public�Class�Dirichlet _
	Implements�IDistribution(Of�Vector), ICloneable,  _
	HasPoint(Of�Vector), CanGetLogProb(Of�Vector), SettableTo(Of�Dirichlet),  _
	SettableToProduct(Of�Dirichlet), SettableToProduct(Of�Dirichlet, Dirichlet),  _
	Diffable, SettableToUniform, SettableToRatio(Of�Dirichlet), SettableToRatio(Of�Dirichlet, Dirichlet),  _
	SettableToPower(Of�Dirichlet), SettableToWeightedSum(Of�Dirichlet), CanGetLogAverageOf(Of�Dirichlet),  _
	CanGetLogAverageOfPower(Of�Dirichlet), CanGetAverageLog(Of�Dirichlet), CanGetLogNormalizer,  _
	Sampleable(Of�Vector), CanGetMean(Of�Vector), CanGetVariance(Of�Vector),  _
	CanGetMeanAndVariance(Of�Vector, Vector), CanSetMeanAndVariance(Of�Vector, Vector)

Remarks

The Dirichlet is a distribution on probability vectors. The formula for the distribution is p(x) = (Gamma(a)/prod_i Gamma(b_i)) prod_i x_i^{b_i-1} subject to the constraints x_i >= 0 and sum_i x_i = 1. The parameter a is the "total pseudo-count" and is shorthand for sum_i b_i. The vector b contains the pseudo-counts for each case i. The vector b can be sparse or dense; in many cases it is useful to give it a Sparsity specification of ApproximateWithTolerance(Double).

The distribution is represented by the pair (TotalCount, PseudoCount). If TotalCount is infinity, the distribution is a point mass. The Point property gives the mean. Otherwise TotalCount is always equal to PseudoCount.Sum(). If distribution is uniform when all PseudoCounts = 1. If any PseudoCount <= 0, the distribution is improper. In this case, the density is redefined to not include the Gamma terms, i.e. there is no normalizer.