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The note presents a modified proof of a loss bound for the exponentiallyweighted average forecaster with time-varying potential. The regret term of thealgorithm is upper-bounded by sqrt{n ln(N)} (uniformly in n), where N is thenumber of experts and n is the number of steps.

On Theorem 2.3 in "Prediction, Learning, and Games" by Cesa-Bianchi and Lugosi