184 citations · 1.3k across the 64 of their papers we have counts for
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Entropic Density Functional Theory
Ahmad Yousefi, Ariel Caticha
A formulation of the density functional theory is constructed on the foundations of entropic inference. The theory is introduced as an application of maximum entropy for inhomogene…
An Entropic Approach To Classical Density Functional Theory
Ahmad Yousefi, Ariel Caticha
The classical Density Functional Theory (DFT) is introduced as an application of entropic inference for inhomogeneous fluids at thermal equilibrium. It is shown that entropic infer…
Exact Renormalization Groups as a form of Entropic Dynamics
Pedro Pessoa, Ariel Caticha
The Renormalization Group (RG) is a set of methods that have been instrumental in tackling problems involving an infinite number of degrees of freedom. What all these methods have…
Using Relative Entropy to Find Optimal Approximations: an Application to Simple Fluids
Chih-Yuan Tseng, Ariel Caticha
We develop a maximum relative entropy formalism to generate optimal approximations to probability distributions. The central results consist in (a) justifying the use of relative e…
Maximum Entropy and the Variational Method in Statistical Mechanics: an Application to Simple Fluids
Chih-Yuan Tseng, Ariel Caticha
We develop the method of Maximum Entropy (ME) as a technique to generate approximations to probability distributions. The central results consist in (a) justifying the use of relat…
Questions, relevance and relative entropy
Ariel Caticha
What is a question? According to Cox a question can be identified with the set of assertions that constitute possible answers. In this paper we propose a different approach that co…
Maximum entropy approach to the theory of simple fluids
Chih-Yuan Tseng, Ariel Caticha
We explore the use of the method of Maximum Entropy (ME) as a technique to generate approximations. In a first use of the ME method the "exact" canonical probability distribution o…
Maximum Entropy approach to a Mean Field Theory for Fluids
Chih-Yuan Tseng, Ariel Caticha
Making statistical predictions requires tackling two problems: one must assign appropriate probability distributions and then one must calculate a variety of expected values. The m…
Yet another resolution of the Gibbs paradox: an information theory approach
Chih-Yuan Tseng, Ariel Caticha
The ``Gibbs Paradox'' refers to several related questions concerning entropy in thermodynamics and statistical mechanics: whether it is an extensive quantity or not, how it changes…