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Equation 14 · Part 1 · How a Model Actually Gets Small Enough to Run on a Phone

Symbol w_ij

∣wij∣|w_{ij}|
wijw_{ij}

What this part means

wiw_ij 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

wiw_ij 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

Distillation decides how the student’s weights are trained. Pruning decides which weights exist afterward. The oldest and simplest criterion is magnitude: rank every weight by |wijw_{ij}| and remove the smallest fraction, on the reasoning that a weight close to zero contributes almost nothing to the layer’s output no matter what it is multiplied against. Applied once, magnitude pruning at any aggressive ratio breaks the network; applied iteratively, alternating a pruning step with a retraining step that lets the surviving weights absorb what the removed ones were doing, it can remove a large majority of parameters with only a small accuracy cost.

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Learn the underlying idea

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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Sources cited in the article section

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