Mutual information I(X;Y) = H(X) + H(Y) - H(X,Y) · @brief Mutual information I(X;Y)

Read the equation

This relation defines @brief Mutual information I(X;Y) in the source section “Mutual information I(X;Y) = H(X) + H(Y) - H(X,Y) · @brief Mutual information I(X;Y)”. 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 Mutual information I(X;Y) 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

            d += p[i] * std::log2(p[i] / q[i]);
        }
    }
    return d;
}

/**
 * @brief Mutual information I(X;Y) = H(X) + H(Y) - H(X,Y)
 */
inline double mutual_information(double hx, double hy, double hxy) {
    return std::max(0.0, hx + hy - hxy);
}

/**
 * @brief Integrated Information Φ (simplified approximation)
 * Φ = I(system) - Σ I(parts)
 */
inline double integrated_information(double system_info, const double* part_info, size_t n) {

@brief Mutual information I(X;Y) = H(X) + H(Y) - H(X,Y)

Related builds