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Equation 37 · Part 7 · The Real Economics of Shipping a Model to a Device

addition

Qdevice∗=(Cdev+U)/(ccloud−cd)Q^{*}_{\mathrm{device}} = (C_{\mathrm{dev}} + U) / (c_{\mathrm{cloud}} - c_{d})
addition

What this part means

Add the term after the plus sign to the term or group before it.

Its job in the formula

Add the term after the plus sign to the term or group before it.

The passage around this formula

The marginal-cost argument for on-device inference is not wrong; it is one term in a four-term equation, and the other three — variant-matrix engineering, distillation-versus-teacher economics, and update-distribution bandwidth — are each individually documented at real, checkable magnitudes in this article. Distillation itself is nearly always worth doing: disclosed training runs in the hundreds of dollars clear their own break-even point against even modest cloud query volumes almost immediately. Placing the result on a device is a separate, harder calculation, one that rises with every additional tier a release has to validate and every device already in the field that has to receive the…

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Learn the underlying idea

Addition combines quantities; subtraction measures the signed difference between them. Parentheses show what is combined before the rest of the expression is evaluated.

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The article lists its research sources here.