dk.bayes.math.gaussian

Proj

Related Doc: package gaussian

object Proj

Projects f(x)*q(x) distribution to a gaussian distribution q_new(x) by matching mean and variance moments.

Thomas P Minka. A family of algorithms for approximate Bayesian inference, 2001

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  15. def projMu(q: Gaussian, Z: Double, dZ_m: Double): Double

    Equation 3.18 (page 15) from Minka Thesis

    Equation 3.18 (page 15) from Minka Thesis

    q

    Function q(x)

    Z

    Normalisation constant for distribution Z(m,v)=f(x)*q(x)

  16. def projSigma(q: Gaussian, Z: Double, dZ_m: Double, dZ_v: Double): Double

    Equation 3.19 (page 15) from Minka Thesis

    Equation 3.19 (page 15) from Minka Thesis

    q

    Function q(x)

    Z

    Normalisation constant for distribution Z(m,v)=f(x)*q(x)

    dZ_m

    Derivative of Z with respect to q_mean

    dZ_v

    Derivative of Z with respect to q_variance

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