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Rephrase \beta description. (#831)
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"More fluctate" is somewhat difficult to parse.

Co-authored-by: Patrick Collins <Patrick Collins>
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pscollins authored Nov 4, 2022
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Expand Up @@ -82,7 +82,11 @@ We can look at the energies as unnormalised negative log probabilities, and use

$$P(y \mid x) = \frac{\exp (-\beta F(x,y))}{\int_{y'}\exp(-\beta F(x,y'))}$$

where $\beta$ is positive constant and needs to be calibrated to fit your model. Larger $\beta$ gives a more fluctuate model while smaller $\beta$ gives a smoother model. (In physics, $\beta$ is inverse temperature: $\beta \rightarrow \infty$ means temperature goes to zero).
where $\beta$ is positive constant and needs to be calibrated to fit your model:
as $\beta \rightarrow \infty$, this function converges to the argmax function;
smaller values of $\beta$ leads to a smoother distribution. (In physics,
$\beta$ is inverse temperature: $\beta \rightarrow \infty$ means temperature
goes to zero).

$$P(y,z \mid x) = \frac{\exp(-\beta F(x,y,z))}{\int_{y}\int_{z}\exp(-\beta F(x,y,z))}$$

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