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    Class IntegerPlusOp

    Provides outgoing messages for the following factors:

    • Plus(Int32, Int32)
    • Difference(Int32, Int32)
    , given random arguments to the function.

    Inheritance
    Object
    IntegerPlusOp
    Inherited Members
    Object.Equals(Object)
    Object.Equals(Object, Object)
    Object.GetHashCode()
    Object.GetType()
    Object.MemberwiseClone()
    Object.ReferenceEquals(Object, Object)
    Object.ToString()
    Namespace: Microsoft.ML.Probabilistic.Factors
    Assembly: Microsoft.ML.Probabilistic.dll
    Syntax
    [FactorMethod(typeof(Factor), "Plus", new Type[]{typeof(int), typeof(int)})]
    [FactorMethod(new string[]{"A", "Sum", "B"}, typeof(Factor), "Difference", new Type[]{typeof(int), typeof(int)})]
    [Quality(QualityBand.Stable)]
    public static class IntegerPlusOp

    Methods

    AAverageConditional(Discrete, Discrete, Discrete)

    EP message to A.

    Declaration
    public static Discrete AAverageConditional(Discrete sum, Discrete b, Discrete result)
    Parameters
    Type Name Description
    Discrete sum

    Incoming message from Sum.

    Discrete b

    Incoming message from B.

    Discrete result

    Modified to contain the outgoing message.

    Returns
    Type Description
    Discrete

    result

    Remarks

    The outgoing message is a distribution matching the moments of A as the random arguments are varied. The formula is proj[p(A) sum_(Sum,B) p(Sum,B) factor(Sum,A,B)]/p(A).

    AAverageConditional(Discrete, Int32, Discrete)

    EP message to A.

    Declaration
    public static Discrete AAverageConditional(Discrete sum, int b, Discrete result)
    Parameters
    Type Name Description
    Discrete sum

    Incoming message from Sum.

    Int32 b

    Constant value for B.

    Discrete result

    Modified to contain the outgoing message.

    Returns
    Type Description
    Discrete

    result

    Remarks

    The outgoing message is a distribution matching the moments of A as the random arguments are varied. The formula is proj[p(A) sum_(Sum) p(Sum) factor(Sum,A,B)]/p(A).

    AAverageConditional(Poisson, Poisson, Poisson)

    EP message to A.

    Declaration
    public static Poisson AAverageConditional(Poisson sum, Poisson a, Poisson b)
    Parameters
    Type Name Description
    Poisson sum

    Incoming message from Sum.

    Poisson a

    Incoming message from A.

    Poisson b

    Incoming message from B.

    Returns
    Type Description
    Poisson

    The outgoing EP message to the A argument.

    Remarks

    The outgoing message is a distribution matching the moments of A as the random arguments are varied. The formula is proj[p(A) sum_(Sum,B) p(Sum,B) factor(Sum,A,B)]/p(A).

    AAverageConditional(Int32, Discrete, Discrete)

    EP message to A.

    Declaration
    public static Discrete AAverageConditional(int sum, Discrete b, Discrete result)
    Parameters
    Type Name Description
    Int32 sum

    Constant value for Sum.

    Discrete b

    Incoming message from B.

    Discrete result

    Modified to contain the outgoing message.

    Returns
    Type Description
    Discrete

    result

    Remarks

    The outgoing message is a distribution matching the moments of A as the random arguments are varied. The formula is proj[p(A) sum_(B) p(B) factor(Sum,A,B)]/p(A).

    AAverageConditional(Int32, Poisson, Poisson)

    EP message to A.

    Declaration
    public static Poisson AAverageConditional(int sum, Poisson a, Poisson b)
    Parameters
    Type Name Description
    Int32 sum

    Constant value for Sum.

    Poisson a

    Incoming message from A.

    Poisson b

    Incoming message from B.

    Returns
    Type Description
    Poisson

    The outgoing EP message to the A argument.

    Remarks

    The outgoing message is a distribution matching the moments of A as the random arguments are varied. The formula is proj[p(A) sum_(B) p(B) factor(Sum,A,B)]/p(A).

    AAverageConditional(Int32, Int32, Discrete)

    EP message to A.

    Declaration
    public static Discrete AAverageConditional(int sum, int b, Discrete result)
    Parameters
    Type Name Description
    Int32 sum

    Constant value for Sum.

    Int32 b

    Constant value for B.

    Discrete result

    Modified to contain the outgoing message.

    Returns
    Type Description
    Discrete

    result

    Remarks

    The outgoing message is the factor viewed as a function of A conditioned on the given values.

    BAverageConditional(Discrete, Discrete, Discrete)

    EP message to B.

    Declaration
    public static Discrete BAverageConditional(Discrete sum, Discrete a, Discrete result)
    Parameters
    Type Name Description
    Discrete sum

    Incoming message from Sum.

    Discrete a

    Incoming message from A.

    Discrete result

    Modified to contain the outgoing message.

    Returns
    Type Description
    Discrete

    result

    Remarks

    The outgoing message is a distribution matching the moments of B as the random arguments are varied. The formula is proj[p(B) sum_(Sum,A) p(Sum,A) factor(Sum,A,B)]/p(B).

    BAverageConditional(Discrete, Int32, Discrete)

    EP message to B.

    Declaration
    public static Discrete BAverageConditional(Discrete sum, int a, Discrete result)
    Parameters
    Type Name Description
    Discrete sum

    Incoming message from Sum.

    Int32 a

    Constant value for A.

    Discrete result

    Modified to contain the outgoing message.

    Returns
    Type Description
    Discrete

    result

    Remarks

    The outgoing message is a distribution matching the moments of B as the random arguments are varied. The formula is proj[p(B) sum_(Sum) p(Sum) factor(Sum,A,B)]/p(B).

    BAverageConditional(Poisson, Poisson, Poisson)

    EP message to B.

    Declaration
    public static Poisson BAverageConditional(Poisson sum, Poisson a, Poisson b)
    Parameters
    Type Name Description
    Poisson sum

    Incoming message from Sum.

    Poisson a

    Incoming message from A.

    Poisson b

    Incoming message from B.

    Returns
    Type Description
    Poisson

    The outgoing EP message to the B argument.

    Remarks

    The outgoing message is a distribution matching the moments of B as the random arguments are varied. The formula is proj[p(B) sum_(Sum,A) p(Sum,A) factor(Sum,A,B)]/p(B).

    BAverageConditional(Int32, Discrete, Discrete)

    EP message to B.

    Declaration
    public static Discrete BAverageConditional(int sum, Discrete a, Discrete result)
    Parameters
    Type Name Description
    Int32 sum

    Constant value for Sum.

    Discrete a

    Incoming message from A.

    Discrete result

    Modified to contain the outgoing message.

    Returns
    Type Description
    Discrete

    result

    Remarks

    The outgoing message is a distribution matching the moments of B as the random arguments are varied. The formula is proj[p(B) sum_(A) p(A) factor(Sum,A,B)]/p(B).

    BAverageConditional(Int32, Poisson, Poisson)

    EP message to B.

    Declaration
    public static Poisson BAverageConditional(int sum, Poisson a, Poisson b)
    Parameters
    Type Name Description
    Int32 sum

    Constant value for Sum.

    Poisson a

    Incoming message from A.

    Poisson b

    Incoming message from B.

    Returns
    Type Description
    Poisson

    The outgoing EP message to the B argument.

    Remarks

    The outgoing message is a distribution matching the moments of B as the random arguments are varied. The formula is proj[p(B) sum_(A) p(A) factor(Sum,A,B)]/p(B).

    BAverageConditional(Int32, Int32, Discrete)

    EP message to B.

    Declaration
    public static Discrete BAverageConditional(int sum, int a, Discrete result)
    Parameters
    Type Name Description
    Int32 sum

    Constant value for Sum.

    Int32 a

    Constant value for A.

    Discrete result

    Modified to contain the outgoing message.

    Returns
    Type Description
    Discrete

    result

    Remarks

    The outgoing message is the factor viewed as a function of B conditioned on the given values.

    LogAverageFactor(Discrete, Discrete, Discrete)

    Evidence message for EP.

    Declaration
    public static double LogAverageFactor(Discrete sum, Discrete a, Discrete to_sum)
    Parameters
    Type Name Description
    Discrete sum

    Incoming message from Sum.

    Discrete a

    Incoming message from A.

    Discrete to_sum

    Outgoing message to sum.

    Returns
    Type Description
    Double

    Logarithm of the factor's average value across the given argument distributions.

    Remarks

    The formula for the result is log(sum_(Sum,A) p(Sum,A) factor(Sum,A,B)).

    LogAverageFactor(Discrete, Int32, Discrete, Discrete)

    Evidence message for EP.

    Declaration
    public static double LogAverageFactor(Discrete sum, int a, Discrete b, Discrete to_sum)
    Parameters
    Type Name Description
    Discrete sum

    Incoming message from Sum.

    Int32 a

    Constant value for A.

    Discrete b

    Incoming message from B.

    Discrete to_sum

    Outgoing message to sum.

    Returns
    Type Description
    Double

    Logarithm of the factor's average value across the given argument distributions.

    Remarks

    The formula for the result is log(sum_(Sum,B) p(Sum,B) factor(Sum,A,B)).

    LogAverageFactor(Discrete, Int32, Int32)

    Evidence message for EP.

    Declaration
    public static double LogAverageFactor(Discrete sum, int a, int b)
    Parameters
    Type Name Description
    Discrete sum

    Incoming message from Sum.

    Int32 a

    Constant value for A.

    Int32 b

    Constant value for B.

    Returns
    Type Description
    Double

    Logarithm of the factor's average value across the given argument distributions.

    Remarks

    The formula for the result is log(sum_(Sum) p(Sum) factor(Sum,A,B)).

    LogAverageFactor(Int32, Discrete, Discrete)

    Evidence message for EP.

    Declaration
    public static double LogAverageFactor(int sum, Discrete a, Discrete b)
    Parameters
    Type Name Description
    Int32 sum

    Constant value for Sum.

    Discrete a

    Incoming message from A.

    Discrete b

    Incoming message from B.

    Returns
    Type Description
    Double

    Logarithm of the factor's average value across the given argument distributions.

    Remarks

    The formula for the result is log(sum_(A,B) p(A,B) factor(Sum,A,B)).

    LogAverageFactor(Int32, Discrete, Int32)

    Evidence message for EP.

    Declaration
    public static double LogAverageFactor(int sum, Discrete a, int b)
    Parameters
    Type Name Description
    Int32 sum

    Constant value for Sum.

    Discrete a

    Incoming message from A.

    Int32 b

    Constant value for B.

    Returns
    Type Description
    Double

    Logarithm of the factor's average value across the given argument distributions.

    Remarks

    The formula for the result is log(sum_(A) p(A) factor(Sum,A,B)).

    LogAverageFactor(Int32, Int32, Discrete)

    Evidence message for EP.

    Declaration
    public static double LogAverageFactor(int sum, int a, Discrete b)
    Parameters
    Type Name Description
    Int32 sum

    Constant value for Sum.

    Int32 a

    Constant value for A.

    Discrete b

    Incoming message from B.

    Returns
    Type Description
    Double

    Logarithm of the factor's average value across the given argument distributions.

    Remarks

    The formula for the result is log(sum_(B) p(B) factor(Sum,A,B)).

    LogAverageFactor(Int32, Int32, Int32)

    Evidence message for EP.

    Declaration
    public static double LogAverageFactor(int sum, int a, int b)
    Parameters
    Type Name Description
    Int32 sum

    Constant value for Sum.

    Int32 a

    Constant value for A.

    Int32 b

    Constant value for B.

    Returns
    Type Description
    Double

    Logarithm of the factor's average value across the given argument distributions.

    Remarks

    The formula for the result is log(factor(Sum,A,B)).

    LogEvidenceRatio(Discrete)

    Evidence message for EP.

    Declaration
    public static double LogEvidenceRatio(Discrete sum)
    Parameters
    Type Name Description
    Discrete sum

    Incoming message from Sum.

    Returns
    Type Description
    Double

    Logarithm of the factor's contribution the EP model evidence.

    Remarks

    The formula for the result is log(sum_(Sum) p(Sum) factor(Sum,A,B) / sum_Sum p(Sum) messageTo(Sum)). Adding up these values across all factors and variables gives the log-evidence estimate for EP.

    LogEvidenceRatio(Int32, Discrete, Discrete)

    Evidence message for EP.

    Declaration
    public static double LogEvidenceRatio(int sum, Discrete a, Discrete b)
    Parameters
    Type Name Description
    Int32 sum

    Constant value for Sum.

    Discrete a

    Incoming message from A.

    Discrete b

    Incoming message from B.

    Returns
    Type Description
    Double

    Logarithm of the factor's contribution the EP model evidence.

    Remarks

    The formula for the result is log(sum_(A,B) p(A,B) factor(Sum,A,B)). Adding up these values across all factors and variables gives the log-evidence estimate for EP.

    LogEvidenceRatio(Int32, Discrete, Int32)

    Evidence message for EP.

    Declaration
    public static double LogEvidenceRatio(int sum, Discrete a, int b)
    Parameters
    Type Name Description
    Int32 sum

    Constant value for Sum.

    Discrete a

    Incoming message from A.

    Int32 b

    Constant value for B.

    Returns
    Type Description
    Double

    Logarithm of the factor's contribution the EP model evidence.

    Remarks

    The formula for the result is log(sum_(A) p(A) factor(Sum,A,B)). Adding up these values across all factors and variables gives the log-evidence estimate for EP.

    LogEvidenceRatio(Int32, Int32, Discrete)

    Evidence message for EP.

    Declaration
    public static double LogEvidenceRatio(int sum, int a, Discrete b)
    Parameters
    Type Name Description
    Int32 sum

    Constant value for Sum.

    Int32 a

    Constant value for A.

    Discrete b

    Incoming message from B.

    Returns
    Type Description
    Double

    Logarithm of the factor's contribution the EP model evidence.

    Remarks

    The formula for the result is log(sum_(B) p(B) factor(Sum,A,B)). Adding up these values across all factors and variables gives the log-evidence estimate for EP.

    LogEvidenceRatio(Int32, Int32, Int32)

    Evidence message for EP.

    Declaration
    public static double LogEvidenceRatio(int sum, int a, int b)
    Parameters
    Type Name Description
    Int32 sum

    Constant value for Sum.

    Int32 a

    Constant value for A.

    Int32 b

    Constant value for B.

    Returns
    Type Description
    Double

    Logarithm of the factor's contribution the EP model evidence.

    Remarks

    The formula for the result is log(factor(Sum,A,B)). Adding up these values across all factors and variables gives the log-evidence estimate for EP.

    SumAverageConditional(Discrete, Discrete, Discrete)

    EP message to Sum.

    Declaration
    public static Discrete SumAverageConditional(Discrete a, Discrete b, Discrete result)
    Parameters
    Type Name Description
    Discrete a

    Incoming message from A.

    Discrete b

    Incoming message from B.

    Discrete result

    Modified to contain the outgoing message.

    Returns
    Type Description
    Discrete

    result

    Remarks

    The outgoing message is a distribution matching the moments of Sum as the random arguments are varied. The formula is proj[p(Sum) sum_(A,B) p(A,B) factor(Sum,A,B)]/p(Sum).

    SumAverageConditional(Discrete, Int32, Discrete)

    EP message to Sum.

    Declaration
    public static Discrete SumAverageConditional(Discrete a, int b, Discrete result)
    Parameters
    Type Name Description
    Discrete a

    Incoming message from A.

    Int32 b

    Constant value for B.

    Discrete result

    Modified to contain the outgoing message.

    Returns
    Type Description
    Discrete

    result

    Remarks

    The outgoing message is a distribution matching the moments of Sum as the random arguments are varied. The formula is proj[p(Sum) sum_(A) p(A) factor(Sum,A,B)]/p(Sum).

    SumAverageConditional(Poisson, Poisson)

    EP message to Sum.

    Declaration
    public static Poisson SumAverageConditional(Poisson a, Poisson b)
    Parameters
    Type Name Description
    Poisson a

    Incoming message from A.

    Poisson b

    Incoming message from B.

    Returns
    Type Description
    Poisson

    The outgoing EP message to the Sum argument.

    Remarks

    The outgoing message is a distribution matching the moments of Sum as the random arguments are varied. The formula is proj[p(Sum) sum_(A,B) p(A,B) factor(Sum,A,B)]/p(Sum).

    SumAverageConditional(Int32, Discrete, Discrete)

    EP message to Sum.

    Declaration
    public static Discrete SumAverageConditional(int a, Discrete b, Discrete result)
    Parameters
    Type Name Description
    Int32 a

    Constant value for A.

    Discrete b

    Incoming message from B.

    Discrete result

    Modified to contain the outgoing message.

    Returns
    Type Description
    Discrete

    result

    Remarks

    The outgoing message is a distribution matching the moments of Sum as the random arguments are varied. The formula is proj[p(Sum) sum_(B) p(B) factor(Sum,A,B)]/p(Sum).

    SumAverageConditionalInit(Discrete, Discrete)

    Declaration
    public static Discrete SumAverageConditionalInit(Discrete a, Discrete b)
    Parameters
    Type Name Description
    Discrete a

    Incoming message from A.

    Discrete b

    Incoming message from B.

    Returns
    Type Description
    Discrete
    Remarks

    SumAverageConditionalInit(Discrete, Int32)

    Declaration
    public static Discrete SumAverageConditionalInit(Discrete a, int b)
    Parameters
    Type Name Description
    Discrete a

    Incoming message from A.

    Int32 b

    Constant value for B.

    Returns
    Type Description
    Discrete
    Remarks

    SumAverageConditionalInit(Int32, Discrete)

    Declaration
    public static Discrete SumAverageConditionalInit(int a, Discrete b)
    Parameters
    Type Name Description
    Int32 a

    Constant value for A.

    Discrete b

    Incoming message from B.

    Returns
    Type Description
    Discrete
    Remarks

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