Read the equation
The stability input is clipped to [0,1] and mapped to a gate between γ_min and 1. The next intermediate state takes the fraction γ of the gap from the current state to the proposed blended state. When γ_min lies in [0,1], this is a convex interpolation; a low gate slows response but does not prove the whole coupled system is stable.
Terms & definitions
| Term | Meaning in this source |
|---|---|
| γ | Update fraction |
| γ_min | Minimum permitted update fraction |
| stability | Gate control input |
How it works
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Original context
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## 4.4 Stability Gating ``` γ = γ_min + (1 - γ_min) · clamp₀₁(stability) Ψ'''_i(t+1) = Ψ_i(t) + γ · (Ψ''_i(t+1) - Ψ_i(t)) ``` **Where**: - `γ_min` = minimum gate value (default 0.1) - `stability` = external stability signal **Explanation**: When stability is low, updates are damped (γ approaches γ_min). This prevents erratic behavior during uncertain conditions. ## 4.5 Final Normalization ``` Ψ_i(t+1) = Ψ'''_i(t+1) · b(t+1) ``` **Where**: - `b(t+1)` = normalization factor from equation 2.2 **Explanation**: All family activations are scaled by the normalizer, ensuring bounded behavior. ---
Exact original notation
γ = γ_min + (1 - γ_min) · clamp₀₁(stability) Ψ'''_i(t+1) = Ψ_i(t) + γ · (Ψ''_i(t+1) - Ψ_i(t))