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Equation 2 · Part 1 · The Network Is the Computer Again

Symbol m

mm
mm

What this part means

m 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

m is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

Pipeline parallelism splits the model by depth, giving each device a contiguous run of layers. The traffic is point-to-point rather than collective — activations forward, gradients backward, between neighbouring stages only — and the volume is modest. Its cost is not bandwidth but idleness. GPipe’s contribution was to split each batch into micro-batches so that stages could work concurrently instead of waiting for a whole batch to traverse the pipeline [ 6 ] . With p stages and m micro-batches, the standard accounting gives a bubble fraction of

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A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the surrounding passage

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