Information geometric methods for complexity

D Felice, C Cafaro, S Mancini - Chaos: An Interdisciplinary Journal of …, 2018 - pubs.aip.org
Describing and, to a certain extent, understanding the concept of complexity has been
investigated in a variety of research fields. Various ad hoc formal definitions and …

Information geometric measures of complexity with applications to classical and quantum physical settings

C Cafaro, SA Ali - Foundations, 2021 - mdpi.com
Foundations | Free Full-Text | Information Geometric Measures of Complexity with Applications
to Classical and Quantum Physical Settings Next Article in Journal A Survey on Existence …

[BOOK][B] The information geometry of chaos

C Cafaro - 2008 - search.proquest.com
In this Thesis, we propose a new theoretical information-geometric framework (IGAC,
Information Geometrodynamical Approach to Chaos) suitable to characterize chaotic …

Works on an information geometrodynamical approach to chaos

C Cafaro - Chaos, Solitons & Fractals, 2009 - Elsevier
In this paper, I propose a theoretical information-geometric framework suitable to
characterize chaotic dynamical behavior of arbitrary complex systems on curved statistical …

Information-geometric indicators of chaos in Gaussian models on statistical manifolds of negative Ricci curvature

C Cafaro - International Journal of Theoretical Physics, 2008 - Springer
A new information-geometric approach to chaotic dynamics on curved statistical manifolds
based on Entropic Dynamics (ED) is proposed. It is shown that the hyperbolicity of a non …

Information geometry, inference methods and chaotic energy levels statistics

C Cafaro - Modern Physics Letters B, 2008 - World Scientific
In this letter, we propose a novel information-geometric characterization of chaotic
(integrable) energy level statistics of a quantum antiferromagnetic Ising spin chain in a tilted …

Theoretical investigations of an information geometric approach to complexity

SA Ali, C Cafaro - Reviews in Mathematical Physics, 2017 - World Scientific
It is known that statistical model selection as well as identification of dynamical equations
from available data are both very challenging tasks. Physical systems behave according to …

Can chaotic quantum energy levels statistics be characterized using information geometry and inference methods?

C Cafaro, SA Ali - Physica A: Statistical Mechanics and its Applications, 2008 - Elsevier
In this paper, we review our novel information-geometrodynamical approach to chaos
(IGAC) on curved statistical manifolds and we emphasize the usefulness of our information …

Geometrodynamics of information on curved statistical manifolds and its applications to chaos

C Cafaro, SA Ali - arxiv preprint arxiv:0810.4623, 2008 - arxiv.org
A novel information-geometrodynamical approach to chaotic dynamics (IGAC) on curved
statistical manifolds based on Entropic Dynamics (ED) is presented and a new definition of …

An information geometric perspective on the complexity of macroscopic predictions arising from incomplete information

SA Ali, C Cafaro, S Gassner… - Advances in Mathematical …, 2018 - Wiley Online Library
Motivated by the presence of deep connections among dynamical equations, experimental
data, physical systems, and statistical modeling, we report on a series of findings uncovered …