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Equation 12 · Part 1 · How a Model Actually Gets Small Enough to Run on a Phone

Symbol C

log⁡2C\log_2 C
CC

What this part means

C is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

C is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

What this buys, mechanically, is a denser training signal per example. A hard label carries log⁡2\log_2 C bits at most, for C classes, and in practice far less once you account for how skewed real label distributions are. A full teacher distribution over the same classes carries a graded judgment about every one of them, on every training example, for free. That is why a student trained this way can…

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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 surrounding passage

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