We show that the Maximum Entropy principle (E.T. Jaynes, [8]) has a natural description in terms of Morse Families of a Lagrangian submanifold. This geometric approach becomes useful when dealing with the M.E.P. with nonlinear constraints. Examples are presented using the Ising and Potts models of a ferromagnetic material
Two topics are discussed in the paper. The first one concerns information thermody-namics, in partic...
A radical solution is offered to clarify an obscure relationship between the Maximum Entropy Princip...
Consider any meromorphic family of endomorphisms of the complex projective plane parameterized by th...
We show that the Maximum Entropy Principle (E.T. Jaynes, 1957) when considered as a constrained ext...
AbstractWe show that the Maximum Entropy Principle (MEP) (Phys. Rev. 106 (Part I and II) (1957) 620–...
We show that the Maximum Entropy Principle (MEP) (Phys. Rev. 106 (Part I and 11) (1957) 620-630; Phy...
This note is a geometric commentary on maximum-entropy proofs. Its purpose is to illustrate the geom...
We present an extension of Jaynes\u27 maximum entropy principle to handle latent variables. We use a...
We consider the problem of specifying the joint distribution of a collection of variables with maxim...
Abstract. We show that a simple geometric result suffices to derive the form of the optimal solution...
Information Geometry (Amari) gives us a framework to investigate probability theory and statistics ...
We develop a geometric theory of phase transitions (PTs) for Hamiltonian systems in the microcanonic...
It is well known that for systems of ODE’s describing singular dynamical systems, the existence and ...
Abstract The well known maximum-entropy principle due to Jaynes, which states that given mean parame...
Discrete formulations of (quantum) gravity in four spacetime dimensions build space out of tetrahedr...
Two topics are discussed in the paper. The first one concerns information thermody-namics, in partic...
A radical solution is offered to clarify an obscure relationship between the Maximum Entropy Princip...
Consider any meromorphic family of endomorphisms of the complex projective plane parameterized by th...
We show that the Maximum Entropy Principle (E.T. Jaynes, 1957) when considered as a constrained ext...
AbstractWe show that the Maximum Entropy Principle (MEP) (Phys. Rev. 106 (Part I and II) (1957) 620–...
We show that the Maximum Entropy Principle (MEP) (Phys. Rev. 106 (Part I and 11) (1957) 620-630; Phy...
This note is a geometric commentary on maximum-entropy proofs. Its purpose is to illustrate the geom...
We present an extension of Jaynes\u27 maximum entropy principle to handle latent variables. We use a...
We consider the problem of specifying the joint distribution of a collection of variables with maxim...
Abstract. We show that a simple geometric result suffices to derive the form of the optimal solution...
Information Geometry (Amari) gives us a framework to investigate probability theory and statistics ...
We develop a geometric theory of phase transitions (PTs) for Hamiltonian systems in the microcanonic...
It is well known that for systems of ODE’s describing singular dynamical systems, the existence and ...
Abstract The well known maximum-entropy principle due to Jaynes, which states that given mean parame...
Discrete formulations of (quantum) gravity in four spacetime dimensions build space out of tetrahedr...
Two topics are discussed in the paper. The first one concerns information thermody-namics, in partic...
A radical solution is offered to clarify an obscure relationship between the Maximum Entropy Princip...
Consider any meromorphic family of endomorphisms of the complex projective plane parameterized by th...
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