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> A higher temperature θ “excites” previously low probability outputs. I found this misleading, because the low probability outputs were already excited. Consi
by clbrmbr 4y ago
> A higher temperature θ “excites” previously low probability outputs.
I found this misleading, because the low probability outputs were already excited. Consider that the first softmax formula has no theta in the denominator, so it’s equivalent to theta=1 (max temperature).
The way I explained temperature to a colleague last week was: temperature of one results in drawing from the posterior distribution, while temperature of zero gives the argmax that distribution. Intermediate temperatures get some blend between them.
But now I see that that hand-wavy description doesn’t explain what happens to the runner ups to the argmax, which this site beautifully does.
- LudwigNagasena 4y agoThe metaphor is straightforward: higher temperature ~ higher entropy ~ less information ~ probabilities are further from certainty (0 and 1). I think the connection originally comes from Boltzmann machines and simulated annealing that were based off statistical physics.