Information geometric methods for complexity
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 …
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 …
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 …
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 …
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 …
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 …
(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 …
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 …
(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 …
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
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 …
data, physical systems, and statistical modeling, we report on a series of findings uncovered …