locked
Message outgoing distribution question RRS feed

  • Question

  • Question 1.

    in https://social.microsoft.com/Forums/en-US/daa215eb-3a08-44c1-b1d7-f7433193af4b/new-distributions-migrated-from-communityresearchmicrosoftcom?forum=infer.net

    It is said that to get a variable of lognormal distribution, we do

    Variable<double> y = Variable.Exp(Variable.GaussianFromMeanAndVariance(0,1));  // y's prior is log-normal

    However, actually in the code it produces a Gamma distribution instead. (the message outgoing from factor exp is Gamma). So I guess we don't use LogNormal because Gamma is used more often elsewhere and approximates lognormal well?

    Question 2.

    If I want to make a custom factor f(x, y), and when I observe y to be, say 0, the message outgoing to x, g(x) = f(x, 0) should be approximated to be Gaussian.

    In EP, should I

    A. approximate g(x) to be Gaussian directly, by some method.

    B. take the incoming message from x to f, say h(x) which is supposed to be Gaussian. Then approximate h(x)g(x) to be Gaussian, by some method. Note this is the marginal distribution of x. So we can remove the h(x) part to get the outgoing message in a Gaussian form.

    So which of A and B is more appropriate?

    Question 3.

    In the above question, when I do the approximate, in EP, do I have to use Quadrature methods as in the source code, or I can use whatever method I like, e.g. Laplace approximation

    • Edited by colinfang Thursday, October 30, 2014 9:56 PM
    Thursday, October 30, 2014 9:03 PM

Answers

  • 1. Yes.

    2. B

    3. You can use any method.

    • Marked as answer by colinfang Friday, October 31, 2014 10:54 AM
    Friday, October 31, 2014 8:19 AM
    Owner