Symbol I^*
is the quantity selected or evaluated by the optimization written on the right.
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Why this formula appears here
That expression is the whole model, and it has one structural feature that matters more than the rest. The two bounds cross at a ridge point . the arithmetic intensity a workload must exceed before the machine’s peak rate is even theoretically reachable. Below the kernel is memory bound and no amount of additional arithmetic capability changes its runtime. Above it the kernel is compute bound and no amount of additional bandwidth helps.
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How to interpret it
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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Equation 14 · 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.
That expression is the whole model, and it has one structural feature that matters more than the rest. The two bounds cross at a ridge point . the arithmetic intensity a workload must exceed before the machine’s peak rate is even theoretically reachable. Below the kernel is memory bound and no amount of additional arithmetic capability changes its runtime. Above it the kernel is compute bound and no amount of additional bandwidth helps.