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Equation 33 · Part 3 · Shrink It, Train It Small, or Search for It: The Main Strategies for Small Models, Compared

Symbol C_curate

Clifetime=Creuse⏟compress  +  Ccurate+Ctrain⏟train small  +  Csearch⏟NAS  +  Q⋅cˉtok,withMresident≤BmemC_{\text{lifetime}} = \underbrace{C_{\text{reuse}}}_{\text{compress}} \;+\; \underbrace{C_{\text{curate}} + C_{\text{train}}}_{\text{train small}} \;+\; \underbrace{C_{\text{search}}}_{\text{NAS}} \;+\; Q \cdot \bar c_{\text{tok}}, \qquad \text{with} \quad M_{\text{resident}} \le B_{\text{mem}}
CcurateC_{\text{curate}}

What this part means

the training small on purpose pays.

Its job in the formula

CcC_curate is one of the signed contributions combined to compute the quantity on the left.

Where the article explains it

Training small on purpose pays CcurateC_{\text{curate}} and CtrainC_{\text{train}} in full, with no discount, in exchange for a model that inherits nothing it was not deliberately given.

The passage around this formula

…Compression pays mostly CreuseC_{\text{reuse}} , a documented small fraction of a from-scratch training cost [ 3 ] , but only if a suitable large model is available to reuse in the first place. Training small on purpose pays CcurateC_{\text{curate}} and CtrainC_{\text{train}} in full, with no discount, in exchange for a model that inherits nothing it was not deliberately given. Architecture search pays CsearchC_{\text{search}} , which can be enormous when paid fresh per target [ 7 ] or amortized across many targets when paid once as a…

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