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Published equation contexts

I=WQI = \frac{W}{Q}

Why this formula appears here

Define arithmetic intensity I as the ratio of arithmetic operations performed to bytes moved between the accelerator and its off-chip memory: I=WQI = \frac{W}{Q}. with W operations and Q bytes. Let Pmax⁡P_{\max} be the machine’s peak arithmetic rate and β\beta its achievable memory bandwidth. Then attainable performance is bounded by

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With a fixed numerator, increasing a nonzero denominator reduces the fraction. Read it with the definitions, units, and assumptions supplied by the article.

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Published contexts (1)

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I=WQI = \frac{W}{Q}

Equation 8 · AI Hardware & Semiconductors

What an AI Accelerator Actually Is: Silicon, Packaging, and the Memory It Can Reach

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

Define arithmetic intensity I as the ratio of arithmetic operations performed to bytes moved between the accelerator and its off-chip memory: I=WQI = \frac{W}{Q}. with W operations and Q bytes. Let Pmax⁡P_{\max} be the machine’s peak arithmetic rate and β\beta its achievable memory bandwidth. Then attainable performance is bounded by

Meanings in this article

  • WW: the number of operations.
  • QQ: the number of bytes.
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