Equation 14 · How a Model Actually Gets Small Enough to Run on a Phone
What does this equation mean?
Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
Read it piece by piece
Symbol w_ij
j is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
subscript
The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.
How to interpret it
Read this expression with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
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 || 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.
Sources cited in the article section
These citations give research context. Read each source to check which claims it supports.
Return to How a Model Actually Gets Small Enough to Run on a Phone