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can calculate the KL divergence between the true and predicted distributions as follows: KL(P || Q) = (0 * log(0/0.1) + 0 * log(0/0.1) + 0.2 * log(0.2/0.3) + 0.8 * log(0.8/0.4) + 0 * log(0/0.1)) = 0 + 0 + 0.2 * log(0.2/0.3) + 0.8 * log(0.8/0.4) + 0 = -0.0364 + 0.1178 + 0 = 0.0814 So the KL