Equation 33 · Part 8 · Shrink It, Train It Small, or Search for It: The Main Strategies for Small Models, Compared

Symbol M_resident

C_{\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}}

M_{\text{resident}}

What this part means

$M_r$ esident is one of the signed contributions combined to compute the quantity on the left.

Its job in the formula

$M_r$ esident is one of the signed contributions combined to compute the quantity on the left.

Full expressionSymbol M_residentArticle meaning

The passage around this formula

…it discovers. Sparse mixture-of-experts is the odd one out in this accounting: its saving shows up only in $\bar c_{\text{tok}}$ , the cost per served token, and it does essentially nothing to relax the constraint $M_{\text{resident}}$ $\le$ $B_{\text{mem}}$ that the other three strategies are built specifically to satisfy [ 13 , 12 ] .

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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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