Gated DeltaNet
The efficiency lineage · 2024
The idea
Section titled “The idea”The slot is clean — why does the box still fill up?
Delta rule can overwrite a fact when a new key hits the same slot. It cannot dim a fact that nobody asks about again. Old associations sit at full strength until a rewrite happens to find them.
Gated DeltaNet adds a forget-gate. One number, alpha, fades the whole state together — a volume knob on the box, not a rewrite of one slot. It keeps DeltaNet’s other dial, beta, for how hard this token writes. The gated step is then: read what the slot already says, erase with alpha, write only the leftover error, scaled by beta.
The leftover is the uniformity: every channel fades at the same rate. That is the next page.
Verdict
Section titled “Verdict”The story, animated
Section titled “The story, animated”Read the slot, fade the box, write the leftover error. Then the cost of one knob.
Where it sits
Section titled “Where it sits”Worth having first: Delta rule
Unlocks: KDA
Episode 2 · The Linear Bet