← Mathematical compendium

Published equation contexts

TCteacher=Q⋅cteacherTC_{\mathrm{teacher}} = Q \cdot c_{\mathrm{teacher}}

Why this formula appears here

against the cost of simply continuing to serve the teacher directly for the same query volume, TCteacher=Q⋅cteacherTC_{\mathrm{teacher}} = Q \cdot c_{\mathrm{teacher}}. 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

Read the full article-specific guide →

Read the representative guide

CteacherC_{\mathrm{teacher}}

Symbol C_teacher

CtC_teacher is part of the quantity the equation computes from the expression on the right.

Read this term in its guide →
cteacherc_{\mathrm{teacher}}

Symbol c_teacher

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

Read this term in its guide →

How to interpret it

Read it with the definitions, units, and assumptions supplied by the article.

Research cited beside this formula

Learn the mathematics behind it

Published contexts (1)

A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.

TCteacher=Q⋅cteacher.TC_{\mathrm{teacher}} = Q \cdot c_{\mathrm{teacher}}.

Equation 2 · Edge AI & Electronics

The Real Economics of Shipping a Model to a Device

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

against the cost of simply continuing to serve the teacher directly for the same query volume, TCteacher=Q⋅cteacherTC_{\mathrm{teacher}} = Q \cdot c_{\mathrm{teacher}}. 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

Meanings in this article

  • QQ: the number of queries served over the deployment’s life, and cstudentc_{\mathrm{student}}.
  • cteacherc_{\mathrm{teacher}}: the marginal cost per query of serving each model, wherever that serving happens.
Equation guide → · Article →