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authoredNov 4, 2022
Rephrase \beta description. (#831)
"More fluctate" is somewhat difficult to parse. Co-authored-by: Patrick Collins <Patrick Collins>
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‎docs/en/week07/07-1.md

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@@ -82,7 +82,11 @@ We can look at the energies as unnormalised negative log probabilities, and use
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$$P(y \mid x) = \frac{\exp (-\beta F(x,y))}{\int_{y'}\exp(-\beta F(x,y'))}$$
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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).
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where $\beta$ is positive constant and needs to be calibrated to fit your model:
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as $\beta \rightarrow \infty$, this function converges to the argmax function;
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smaller values of $\beta$ leads to a smoother distribution. (In physics,
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$\beta$ is inverse temperature: $\beta \rightarrow \infty$ means temperature
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goes to zero).
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$$P(y,z \mid x) = \frac{\exp(-\beta F(x,y,z))}{\int_{y}\int_{z}\exp(-\beta F(x,y,z))}$$
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