Oja's Rule: Δw = η·y·(x - y·w) · @brief Oja's Rule: Δw

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This relation defines @brief Oja's Rule: Δw in the source section “Oja's Rule: Δw = η·y·(x - y·w) · @brief Oja's Rule: 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 Oja's Rule: 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

 * @brief Update BCM threshold: θ = <x²> (sliding average)
 */
inline double bcm_threshold_update(double theta, double x_post, double tau = 0.01) {
    return theta + tau * (x_post * x_post - theta);
}

/**
 * @brief Oja's Rule: Δw = η·y·(x - y·w)
 * Performs PCA - weight converges to principal eigenvector
 */
inline double oja_rule(double x, double y, double w, double eta = ETA) {
    return eta * y * (x - y * w);
}

/**
 * @brief STDP: Spike-Timing Dependent Plasticity
 * @param dt = t_post - t_pre (time difference)
 */

@brief Oja's Rule: Δw = η·y·(x - y·w)

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