KL Divergence D_KL(P||Q) = Σ P(x) log(P(x)/Q(x)) · @brief KL Divergence D_KL(P||Q)

Read the equation

This relation defines @brief KL Divergence D_KL(P||Q) in the source section “KL Divergence D_KL(P||Q) = Σ P(x) log(P(x)/Q(x)) · @brief KL Divergence D_KL(P||Q)”. Uses logarithmic scaling; its base and the positivity of its argument matter. 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 KL Divergence D_KL(P||Q) as the quantity being defined or updated by this relation.

2. Uses logarithmic scaling; its base and the positivity of its argument matter.

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

            h -= p[i] * std::log2(q[i]);
        }
    }
    return h;
}

/**
 * @brief KL Divergence D_KL(P||Q) = Σ P(x) log(P(x)/Q(x))
 */
inline double kl_divergence(const double* p, const double* q, size_t n) {
    double d = 0.0;
    for (size_t i = 0; i < n; ++i) {
        if (p[i] > 1e-10 && q[i] > 1e-10) {
            d += p[i] * std::log2(p[i] / q[i]);
        }
    }
    return d;
}

@brief KL Divergence D_KL(P||Q) = Σ P(x) log(P(x)/Q(x))

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