Entropy, information, and the updating of probabilities

A Caticha - Entropy, 2021 - mdpi.com
This paper is a review of a particular approach to the method of maximum entropy as a
general framework for inference. The discussion emphasizes pragmatic elements in the …

Entropic dynamics on Gibbs statistical manifolds

P Pessoa, FX Costa, A Caticha - Entropy, 2021 - mdpi.com
Entropic dynamics is a framework in which the laws of dynamics are derived as an
application of entropic methods of inference. Its successes include the derivation of quantum …

State retrieval beyond Bayes' retrodiction

J Surace, M Scandi - arXiv preprint arXiv:2201.09899, 2022 - arxiv.org
In the context of irreversible dynamics, associating to a physical process its intuitive reverse
can result to be a quite ambiguous task. It is a standard choice to define the reverse process …

Comment on Tsallis, C. Black Hole Entropy: A Closer Look. Entropy 2020, 22, 17

P Pessoa, B Arderucio Costa - Entropy, 2020 - mdpi.com
In a recent paper (Entropy 2020, 22 (1), 17), Tsallis states that entropy—as in Shannon or
Kullback–Leiber's definitions—is inadequate to interpret black hole entropy and suggests …

The q-exponentials do not maximize the Rényi entropy

T Oikonomou, K Kaloudis, GB Bagci - Physica A: Statistical Mechanics and …, 2021 - Elsevier
It is generally assumed that the Rényi entropy is maximized by the q-exponentials and is
hence useful to construct a generalized statistical mechanics. However, to the best of our …

Inferential moments of uncertain multivariable systems

K Vanslette - arXiv preprint arXiv:2305.01841, 2023 - arxiv.org
This article expands the framework of Bayesian inference and provides direct probabilistic
methods for approaching inference tasks that are typically handled with information theory …

Entropic dynamics of networks

FX Costa, P Pessoa - arXiv preprint arXiv:2102.02355, 2021 - arxiv.org
Here we present the entropic dynamics formalism for networks. That is, a framework for the
dynamics of graphs meant to represent a network derived from the principle of maximum …

The design of global correlation quantifiers and continuous notions of statistical sufficiency

N Carrara, K Vanslette - Entropy, 2020 - mdpi.com
Using first principles from inference, we design a set of functionals for the purposes of
ranking joint probability distributions with respect to their correlations. Starting with a general …

A Generalized Relative (α, β)-Entropy: Geometric Properties and Applications to Robust Statistical Inference

A Ghosh, A Basu - Entropy, 2018 - mdpi.com
Entropy and relative entropy measures play a crucial role in mathematical information
theory. The relative entropies are also widely used in statistics under the name of …

The quantum Bayes rule and generalizations from the quantum maximum entropy method

K Vanslette - Journal of Physics Communications, 2018 - iopscience.iop.org
Abstract The recent article'Entropic Updating of Probability and Density Matrices'[1] derives
and demonstrates the inferential origins of both the standard and quantum relative entropies …