Admissible mask operations

Let the finite coordinate universe be $\mathcal{I}$, with $\text{abs}\mathcal{I}=N_W$. Ordinary deletion leaves coordinates eligible for future repair. Permanent deletion excludes them from that eligibility.

A repair set satisfies

Ignoring other ordinary deletions for this bookkeeping step, maintenance gives

An episode-scar set satisfies

and the update is

Weights on deleted coordinates are set to zero.

An initial-adversity operation is different: it may add scars from all of $S^c$, including currently inactive coordinates.