Browsing by Author "Maazu Kademi, Anas"
Now showing 1 - 1 of 1
- Results Per Page
- Sort Options
Article An information geometrical evaluation of Shannon information metrics on a discrete n-dimensional digital manifold(Elsevier Ltd, 2023) Ahmet Hasan Koltuksuz; Cagatay Yucel; Anas Maazu Kademi; Yucel, Cagatay; Maazu Kademi, Anas; Kademi, Anas Maazu; Koltuksuz, AhmetThe definition and nature of information have perplexed scientists due to its dual nature in measurements. The information is discrete and continuous when evaluated on a metric scale and the Laplace-Beltrami operator and Gauss-Bonnet Theorem can map one to another. On the other hand defining the information as a discrete entity on the surface area of an n-dimensional discrete digital manifold provides a unique way of calculating the entropy of a manifold. The software simulation shows that the surface area of the discrete n-dimensional digital manifold is an effectively computable function. Moreover it also provides the information-geometrical evaluation of Shannon information metrics. © 2023 Elsevier B.V. All rights reserved.
