Read the equation
This relation defines CHAIN RULE: δ_j in the source section “Machine Learning Module for Gate5000 Consciousness · CHAIN RULE: δ_j”. It specifies the displayed relationship between the named quantities or parameters. Its interpretation depends on the source’s stated variables and conditions; this record does not assign an unprovided physical or cognitive meaning to them.
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
Read CHAIN RULE: δ_j as the quantity being defined or updated by this relation.
Substitute the source-defined variables or recorded values and follow the displayed arithmetic and indexing exactly.
Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.
Assumptions & limits
This source expression was recovered from the pinned code revision. Its presence does not establish that the associated program was built, run, or scientifically validated.
Original context
Read the surrounding source passage
* MOMENTUM: v = μ·v - η·∇L, w = w + v * ADAM: m = β₁m + (1-β₁)g, v = β₂v + (1-β₂)g², w = w - η·m̂/(√v̂ + ε) * * ═══════════════════════════════════════════════════════════════════════════════ * III. BACKPROPAGATION * ═══════════════════════════════════════════════════════════════════════════════ * * CHAIN RULE: δ_j = Σ_k(δ_k·w_jk)·f'(net_j) * WEIGHT UPDATE: Δw_ij = -η·δ_j·x_i * * ═══════════════════════════════════════════════════════════════════════════════ */ #pragma once #include <cmath> #include <array> #include <cstring>
Exact original notation
CHAIN RULE: δ_j = Σ_k(δ_k·w_jk)·f'(net_j)