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Equation 7 · Part 2 · The Real Economics of Shipping a Model to a Device

Symbol C_distill

Qdistill∗=Cdistillcteacher−cstudent.Q^{*}_{\mathrm{distill}} = \frac{C_{\mathrm{distill}}}{c_{\mathrm{teacher}} - c_{\mathrm{student}}}.
CdistillC_{\mathrm{distill}}

What this part means

the one-time training cost.

Its job in the formula

CdC_distill occurs above the fraction bar. The numerator is divided by the entire denominator below it.

Where the article explains it

Here CdistillC_{\mathrm{distill}} is the one-time training cost, Q is the number of queries served over the deployment’s life, and cstudentc_{\mathrm{student}} and cteacherc_{\mathrm{teacher}} are the marginal cost per query of serving each model, wherever that serving happens.

The passage around this formula

Here CdistillC_{\mathrm{distill}} is the one-time training cost, Q is the number of queries served over the deployment’s life, and cstudentc_{\mathrm{student}} and cteacherc_{\mathrm{teacher}} are the marginal cost per query of serving each model, wherever that serving happens. The break-even query volume is [displayed…

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A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the surrounding passage

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