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log⁡2C\log_2 C

Why this formula appears here

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 match a network many times its size on the same data budget: it is not learning faster, it is being taught with a richer curriculum. The modern survey literature on this technique describes it as the backbone of an entire ecosystem for building small open models from large proprietary ones, with the…

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CC

Symbol C

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log⁡2C\log_2 C

Equation 12 · Edge AI & Electronics

How a Model Actually Gets Small Enough to Run on a Phone

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

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 match a network many times its size on the same data budget: it is not learning faster, it is being taught with a richer curriculum. The modern survey literature on this technique describes it as the backbone of an entire ecosystem for building small open models from large proprietary ones, with the…

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