Normalized learning pressure

Read the equation

Maps pressure Ψ to Ψ/(Ψ+ψ₀). For Ψ≥0 and ψ₀>0 it increases from zero toward one, reducing the influence of extreme pressure values.

Terms & definitions

The recovered passage does not supply a separate symbol table. Read the source context for the notation used in this version; familiar letters may carry different meanings in other builds.

How it works

1. Read 1. Normalize pressure: Ψ̃ as the quantity being defined or updated by this relation.

2. Substitute the source-defined variables or recorded values and follow the displayed arithmetic and indexing exactly.

3. Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.

Assumptions & limits

Source recovery establishes that the expression appears in this record. Its mathematical validity, implementation behavior, and interpretation must be assessed separately. See the linked source and research notes for the checks available for this version.

Original context

ACTIVATION FUNCTION

1. Normalize pressure:    Ψ̃ = Ψ / (Ψ + ψ₀)

2. Compute activation:    χ = 1 / (1 + e^(-(α_κ·κ + α_Ψ·Ψ̃ - θ)))

3. Bound plasticity:      η = clamp(η_base + η_gain·κ, η_min, η_max)

4. Learning drive:        Γ = χ × η × κ

1. Normalize pressure:    Ψ̃ = Ψ / (Ψ + ψ₀)

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