Equation 28 · Part 1 · Locality Is the Whole Game: The Memory Hierarchy and What a Kernel Does Not Read
Symbol O
What this part means
O 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
O is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol O→Article meaning
The passage around this formula
…the softmax normalisation factors are kept from the forward pass so that attention can be recomputed on-chip, which the authors state is faster than reading the stored intermediate back from HBM. Their analysis gives O( ) HBM accesses against for standard attention, with a matching lower bound showing no exact algorithm can do asymptotically better across all SRAM sizes [ 1 ] . The reported results were a 7.6 times speedup on the attention computation itself for GPT-2, 15 per cent…
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A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.
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Sources cited in the surrounding passage
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