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On the Subadditivity of Mutual f-Information
We address an open problem raised by Polyanskiy and Wu in their textbook concerning the subadditivity of mutual \(f\)-information. We study two notions of generalized mutual information: mutual \(f\)-information, defined by \(\widetilde{I}_f(X;Y)=D_f(p_{XY}\|p_Xp_Y)\), and variational \((G,f)\)-info
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