Equation 2 · Part 4 · The Real Economics of Shipping a Model to a Device

Symbol c_teacher

TC_{\mathrm{teacher}} = Q \cdot c_{\mathrm{teacher}}.

c_{\mathrm{teacher}}

What this part means

the marginal cost per query of serving each model, wherever that serving happens.

Its job in the formula

$c_t$ eacher is one factor in the product that computes the quantity on the left.

Full expressionSymbol c_teacherArticle meaning

Where the article explains it

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

The passage around this formula

against the cost of simply continuing to serve the teacher directly for the same query volume, $TC_{\mathrm{teacher}} = Q \cdot c_{\mathrm{teacher}}$ . Here $C_{\mathrm{distill}}$ is the one-time training cost, Q is the number of queries served over the deployment’s life, and $c_{\mathrm{student}}$ and $c_{\mathrm{teacher}}$ are the marginal cost per query of serving each model, wherever that serving happens. The break-even query volume is

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Learn the underlying idea

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 article section

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