Equation 18 · Part 10 · How a Model Actually Gets Small Enough to Run on a Phone
=
=
What this part means
The expressions on both sides represent the same quantity under the stated assumptions.
Its job in the formula
The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.
Full expression→=→Article meaning
The passage around this formula
SparseGPT poses pruning as a per-layer reconstruction problem. For a layer with weight matrix W and a small calibration set of activations X , it looks for a sparse replacement W' that keeps that layer’s output as close as possible to the original: . Rather than solving this by retraining, Frantar and Alistarh adapt a closed-form update derived from the layer’s second-order (Hessian) information, in the spirit of the older Optimal Brain Surgeon method, so that whenever a weight is removed the remaining weights in that row are analytically nudged to compensate for its absence. The result, reported for the GPT-family models tested, is that “large-scale generative pretrained…
Learn the underlying idea
An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.
Open the illustrated equality: what the equals sign claims guide →
Sources cited in the surrounding passage
These citations provide research context; check each source for the exact claim it supports.