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THE CONSCIOUSNESS ATLAS
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ConsciousnessLearn · Explore · Joseph Anady

Classic Hebbian: Δw = η·x_i·x_j · @brief Classic Hebbian: Δw

This relation defines @brief Classic Hebbian: Δw in the source section “Classic Hebbian: Δw = η·x_i·x_j · @brief Classic Hebbian: Δw”. It specifies the displayed relationship between the named quantities or parameters. Its interpretation depends on the source’s stated…

Implementation mathematicsSource recovered; runtime not executed
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gh-eq-3e0aeef605b86970source-comment-equation
@briefClassicHebbian:Δw=η⋅xi⋅xj@brief Classic Hebbian: Δw = η·x_i·x_j

Read the equation

This relation defines @brief Classic Hebbian: Δw in the source section “Classic Hebbian: Δw = η·x_i·x_j · @brief Classic Hebbian: Δw”. 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

  1. Read @brief Classic Hebbian: Δw 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

  • 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
constexpr double WEIGHT_DECAY = 0.0001;    // L2 regularization

// ═══════════════════════════════════════════════════════════════════════════════
// I. HEBBIAN LEARNING
// ═══════════════════════════════════════════════════════════════════════════════

/**
 * @brief Classic Hebbian: Δw = η·x_i·x_j
 */
inline double hebbian_classic(double x_pre, double x_post, double eta = ETA) {
    return eta * x_pre * x_post;
}

/**
 * @brief Normalized Hebbian: Δw = η·(x_i·x_j - α·w·x_j²)
 * Prevents unbounded weight growth
 */
inline double hebbian_normalized(double x_pre, double x_post, double w,
Exact original notation
@brief Classic Hebbian: Δw = η·x_i·x_j

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Sources & provenance

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