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Equation 9 · Part 2 · How a Model Actually Gets Small Enough to Run on a Phone

superscript

1/T21/T^2
superscript

What this part means

A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.

Its job in the formula

A raised mark can be a power or an index. Its position and the surrounding notation determine which.

The passage around this formula

The T2T^2 factor is not decorative. Hinton and colleagues note that because the magnitude of the gradients produced by the soft-target term scales as 1/T2T^2 , multiplying the term by T2T^2 keeps the relative contribution of the two loss terms roughly stable as T is tuned as a hyperparameter [ 1 ] . Without it, raising the temperature to expose more dark knowledge would simultaneously and silently shrink the gradient signal doing the exposing.

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Learn the underlying idea

An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.

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Sources cited in the surrounding passage

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