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Equation 4 · Part 5 · How a Model Actually Gets Small Enough to Run on a Phone

Symbol T

σ(z)i=exp⁡(zi/T)∑jexp⁡(zj/T)\sigma(z)_i = \frac{\exp(z_i / T)}{\sum_j \exp(z_j / T)}
TT

What this part means

T is an input to the expression that computes the quantity on the left.

Its job in the formula

T is an input to the expression that computes the quantity on the left.

The passage around this formula

…against the large “teacher” network’s full output distribution rather than against the label alone. Write the teacher’s and student’s pre-softmax outputs for a given input as ztz_t and zsz_s . A softmax with a temperature T is σ(z)i=exp⁡(zi/T)∑jexp⁡(zj/T)\sigma(z)_i = \frac{\exp(z_i / T)}{\sum_j \exp(z_j / T)}. At T=1 this is the ordinary softmax used for prediction. Raising T flattens the distribution, pulling the small probabilities assigned to wrong classes up toward visibility, which is exactly the dark knowledge the method wants to expose. The training objective blends two…

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A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the article section

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