Manuscript Psy01-A@1 · Psy01-A.tex · section · 94477fa3

Logit perturbation

Stability, hard-mask discontinuity, and schedule dependence › Logit perturbation · lines 1204–1216

If $r_{ℓ}$ entries of magnitude at most $q_{ℓ}$ are removed from a frozen matrix, then

\norm B_{ℓ} - B_{ℓ}^{'}_{op} \leq \norm B_{ℓ} - B_{ℓ}^{'}_{F} \leq q_{ℓ} r_{ℓ} .

This provides a deterministic pruning-error input for Theorem thm:parameterstability, in the spirit of network approximation bounds QianKlabjan.

Displayed formulas in this passage

unlabeled · line 1208
$\norm B_{ℓ} - B_{ℓ}^{'}_{op} \leq \norm B_{ℓ} - B_{ℓ}^{'}_{F} \leq q_{ℓ} r_{ℓ} .$