Update BCM threshold: θ = <x²> (sliding average) · @brief Update BCM threshold: θ

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This relation defines @brief Update BCM threshold: θ in the source section “Update BCM threshold: θ = <x²> (sliding average) · @brief Update BCM threshold: θ”. 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.

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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 Update BCM threshold: θ 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

 * Threshold θ adapts based on activity
 */
inline double hebbian_bcm(double x_pre, double x_post, double theta, double eta = ETA) {
    return eta * x_pre * x_post * (x_post - theta);
}

/**
 * @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) {

@brief Update BCM threshold: θ = <x²> (sliding average)

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