9 citations · 20 across the 6 of their papers we have counts for
6 papers
Extension of Information Geometry to Non-statistical Systems: Some Examples
Jan Naudts, Ben Anthonis
Our goal is to extend information geometry to situations where statistical modeling is not obvious. The setting is that of modeling experimental data. Quite often the data are not…
Extension of information geometry for modelling non-statistical systems
Ben Anthonis
In this dissertation, an abstract formalism extending information geometry is introduced. This framework encompasses a broad range of modelling problems, including possible applica…
The exponential family in abstract information theory
Jan Naudts, Ben Anthonis
We introduce generalized notions of a divergence function and a Fisher information matrix. We propose to generalize the notion of an exponential family of models by reformulating i…
Data Set Models and Exponential Families in Statistical Physics and Beyond
Jan Naudts, Ben Anthonis
The exponential family of models is defined in a general setting, not relying on probability theory. Some results of information geometry are shown to remain valid. Exponential fam…
Analysis of the N=4 Hubbard ring using a counting operator
Tobias Verhulst, Ben Anthonis, Jan Naudts
We prove three theorems about the use of a counting operator to study the spectrum of model Hamiltonians. We analytically calculate the eigenvalues of the Hubbard ring with four la…
Counting operator analysis of the discrete spectrum of some model Hamiltonians
Jan Naudts, Tobias Verhulst, Ben Anthonis
The first step in the counting operator analysis of the spectrum of any model Hamiltonian H is the choice of a Hermitean operator M in such a way that the third commutator with H i…