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An information geometrical evaluation of Shannon information metrics on a discrete n-dimensional digital manifold

Authors: Koltuksuz, A., Yucel, C. and Maazu Kademi, A.

Journal: Heliyon

Volume: 9

Issue: 6

ISSN: 2405-8440

DOI: 10.1016/j.heliyon.2023.e16653

Abstract:

The 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.

https://eprints.bournemouth.ac.uk/38682/

Source: Scopus

An information geometrical evaluation of Shannon information metrics on a discrete n-dimensional digital manifold.

Authors: Koltuksuz, A., Yucel, C. and Maazu Kademi, A.

Journal: Heliyon

Volume: 9

Issue: 6

Pages: e16653

ISSN: 2405-8440

DOI: 10.1016/j.heliyon.2023.e16653

Abstract:

The 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.

https://eprints.bournemouth.ac.uk/38682/

Source: PubMed

An information geometrical evaluation of Shannon information metrics on a discrete n-dimensional digital manifold

Authors: Koltuksuz, A., Yucel, C. and Kademi, A.M.

Journal: HELIYON

Volume: 9

Issue: 6

eISSN: 2405-8440

DOI: 10.1016/j.heliyon.2023.e16653

https://eprints.bournemouth.ac.uk/38682/

Source: Web of Science (Lite)

An information geometrical evaluation of Shannon information metrics on a discrete n-dimensional digital manifold

Authors: Koltuksuz, A., Yucel, C. and Kademi, A.M.

Journal: Heliyon

Volume: 9

Issue: 6

ISSN: 2405-8440

DOI: 10.1016/j.heliyon.2023.e16653

https://eprints.bournemouth.ac.uk/38682/

Source: Manual

An information geometrical evaluation of Shannon information metrics on a discrete n-dimensional digital manifold.

Authors: Koltuksuz, A., Yucel, C. and Maazu Kademi, A.

Journal: Heliyon

Volume: 9

Issue: 6

Pages: e16653

eISSN: 2405-8440

ISSN: 2405-8440

DOI: 10.1016/j.heliyon.2023.e16653

Abstract:

The 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.

https://eprints.bournemouth.ac.uk/38682/

Source: Europe PubMed Central

An information geometrical evaluation of Shannon information metrics on a discrete n-dimensional digital manifold

Authors: Koltuksuz, A., Yucel, C. and Kademi, A.M.

Journal: Heliyon

Volume: 9

Issue: 6

Pages: 1-12

ISSN: 2405-8440

Abstract:

The 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.

https://eprints.bournemouth.ac.uk/38682/

Source: BURO EPrints