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Question about the computation of the lower bound in mixture.bayesian_mixture.py #8823

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14thibea opened this issue May 2, 2017 · 2 comments
Open

Question about the computation of the lower bound in mixture.bayesian_mixture.py #8823

14thibea opened this issue May 2, 2017 · 2 comments
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Documentation module:mixture

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@14thibea
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14thibea commented May 2, 2017

In method _compute_lower_bound of mixture.bayesian_mixture.py all the terms that should be in the lower bound aren't there.
That's normal for constant terms but for the others is there an explanation ?

(The formula in Bishop book is :

lower_bound_formula
)
@amueller
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ping @tguillemot ? Which terms are missing?

@tguillemot
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If I remember well, this formula is follow by a text saying that a lot of simplifications can be done and are left as exercice.

If you want to have a look to the developed formula of the Bayesian mixtures used in bayesian_mixture.py, you will find all the details in #7284.

Here, you can find a rendered version of the PR (maybe not the last version).

If someone want to check formulas, it would be a huge contribution :).

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@amueller @cmarmo @14thibea @tguillemot