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Equation 22 · Part 1 · The Real Economics of Shipping a Model to a Device

Symbol Q^*_device

Qdevice∗Q^{*}_{\mathrm{device}}
Qdevice∗Q^{*}_{\mathrm{device}}

What this part means

Qd∗Q^*_device is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

Qd∗Q^*_device is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

The equation also explains something the variant-matrix section set up: CdevC_{\mathrm{dev}} rises with every additional tier, chip target and quantization scheme a release has to validate, which means Qdevice∗Q^{*}_{\mathrm{device}} rises too. A feature built once and validated across three device tiers has a lower bar to clear than the same feature validated across six, holding query volume constant. This is a real, and rarely stated, reason product teams should expect on-device placement to make sense…

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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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