We develop a maximum relative entropy formalism to generate optimal approximations to probability distributions. The … central results consist of (a) justifying the use of relative entropy as the uniquely natural criterion to select a preferred … marginalizing over parameters using the method of maximum entropy and information geometry. As an illustration we apply our method …

We show that the maximum entropy approach proposed by El-Wakil, Elhanbaly, and Abdou (from now on EEA) in [S.A. El … maximum entropy solutions of the aforementioned equation. On the one hand, after identifying an appropriate set of relevant … mean values (moments), we show that there are exact maximum entropy solutions associated with that set of moments. These …

discussed. The philosophy is consistent with maximum entropy thinking of Jaynes, but goes one step deeper by deriving the … maximum entropy principle from an underlying game theoretical principle. The games introduced are based on measures of … complexity. Entropy is viewed as minimal complexity. It is demonstrated that Tsallis entropy (q-entropy) and Kaniadakis entropy …

We devise a maximum entropy technique to construct (approximate) time-dependent solutions to evolution equations … solutions. It is shown that the present implementation of the maximum entropy prescription always (even in the case of … approximate solutions) preserves the exact functional relationship between the time derivative of the entropy and the time …

implementation of a Maximum Entropy Formalism (MaxEnt) to deconvolute a genetic regulatory network based on the most probable meta …

understanding and controlling the dynamics of the global economy. Based on a pairwise maximum entropy model, we analyze the business …

gives the time derivative of the entropy in terms of the time-dependent MaxEnt distribution function is seen to be always of …

cluster size. The Maximum Entropy formalism, a well-known method in statistical physics, is applied in order to derive the …