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Gated DeltaNet

The efficiency lineage · 2024

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.

What it fixedA learned gate lets the state forget.
What it still costsOne scalar rate per head - every feature channel fades together.

Read the slot, fade the box, write the leftover error. Then the cost of one knob.

Episode 2, beat 7 - the family · 124s, from the film series.
From the full film - the alpha dial · 97s, from the film series.

Worth having first: Delta rule

Unlocks: KDA

Episode 2 · The Linear Bet