Results 21 to 30 of about 279,080 (212)

"Graph Entropy, Network Coding and Guessing games" [PDF]

open access: yes, 2007
We introduce the (private) entropy of a directed graph (in a new network coding sense) as well as a number of related concepts. We show that the entropy of a directed graph is identical to its guessing number and can be bounded from below with the number
RIIS, SM
core   +4 more sources

On distance-based topological indices and co-indices of fractal-type molecular graphs and their respective graph entropies.

open access: yesPLoS ONE, 2023
In graph theory, a topological index is a numerical value that is in good correlation with certain physical properties of a molecule. It serves as an indicator of how a chemical structure behaves. The Shannon's entropy describes a comparable loss of data
Mehar Ali Malik   +2 more
doaj   +1 more source

An Inequality for Logarithmic Mapping and Applications for the Relative Entropy [PDF]

open access: yes, 2000
Using the concavity property of the log mapping and the weighted arithmetic mean - geometric mean inequality, we point out an analytic inequality for the logarithmic map and apply it for the Kullback-Leibler distance in Information Theory.
Dragomir, Sever S
core   +6 more sources

Characterising 2-dimensional mixing patterns using Shannon’s entropy.

open access: yes, 2023
Shannon’s entropy analysis using the approach described in Ref [20]. Validation of our algorithm using (a) fully segregated and (b) fully mixed patterns, where the latter value represents mean ± standard deviation for entropy values of 10 randomly ...
Aleix Bassolas (10015010)   +6 more
core   +1 more source

Fisher and Shannon Functionals for Hyperbolic Diffusion

open access: yesEntropy, 2023
The complexity measure for the distribution in space-time of a finite-velocity diffusion process is calculated. Numerical results are presented for the calculation of Fisher’s information, Shannon’s entropy, and the Cramér–Rao inequality, all of which ...
Manuel O. Cáceres   +2 more
doaj   +1 more source

An Entropy Measure of Non-Stationary Processes

open access: yesEntropy, 2014
Shannon’s source entropy formula is not appropriate to measure the uncertainty of non-stationary processes. In this paper, we propose a new entropy measure for non-stationary processes, which is greater than or equal to Shannon’s source entropy.
Ling Feng Liu   +3 more
doaj   +1 more source

A Comparative Study of Frequency Ratio, Shannon’s Entropy and Analytic Hierarchy Process (AHP) Models for Landslide Susceptibility Assessment

open access: yesISPRS International Journal of Geo-Information, 2021
Landslide susceptibility maps are very important tools in the planning and management of landslide prone areas. Qualitative and quantitative methods each have their own advantages and dis-advantages in landslide susceptibility mapping.
Sandeep Panchal, Amit K. Shrivastava
doaj   +1 more source

Entropic Statistics: Concept, Estimation, and Application in Machine Learning and Knowledge Extraction

open access: yesMachine Learning and Knowledge Extraction, 2022
The demands for machine learning and knowledge extraction methods have been booming due to the unprecedented surge in data volume and data quality. Nevertheless, challenges arise amid the emerging data complexity as significant chunks of information and ...
Jialin Zhang
doaj   +1 more source

Permutation Entropy for Random Binary Sequences

open access: yesEntropy, 2015
In this paper, we generalize the permutation entropy (PE) measure to binary sequences, which is based on Shannon’s entropy, and theoretically analyze this measure for random binary sequences.
Lingfeng Liu   +3 more
doaj   +1 more source

Entropy and Information Approaches to Genetic Diversity and its Expression: Genomic Geography

open access: yesEntropy, 2010
This article highlights advantages of entropy-based genetic diversity measures, at levels from gene expression to landscapes. Shannon’s entropy-based diversity is the standard for ecological communities.
William B. Sherwin
doaj   +1 more source

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