<abstract xmlns="http://www.w3.org/1999/xhtml"><p>A topological property or index of a network is a numeric number which characterises the whole structure of the underlying network. It is used to predict the certain changes in the bio, chemical and physical activities of the networks. The 4-layered probabilistic neural networks are more general than the 3-layered probabilistic neural networks. Javaid and Cao [Neural Comput. and Applic., DOI 10.1007/s00521-017-2972-1] and Liu et al. [Journal of Artificial Intelligence and Soft Computing Research, 8(2018), 225-266] studied the certain degree and distance based topological indices (TI’s) of the 3-layered probabilistic neural networks. In this paper, we extend this study to the 4-layered probabilistic neural networks and compute the certain degree-based TI’s. In the end, a comparison between all the computed indices is included and it is also proved that the TI’s of the 4-layered probabilistic neural networks are better being strictly greater than the 3-layered probabilistic neural networks.</p></abstract>

A topological property or index of a network is a numeric number which characterises the whole structure of the underlying network. It is used to predict the certain changes in the bio, chemical and physical activities of the networks. The 4-layered probabilistic neural networks are more general than the 3-layered probabilistic neural networks. Javaid and Cao [Neural Comput. and Applic., DOI 10.1007/s00521-017-2972-1] and Liu et al. [Journal of Artificial Intelligence and Soft Computing Research, 8(2018), 225-266] studied the certain degree and distance based topological indices (TI’s) of the 3-layered probabilistic neural networks. In this paper, we extend this study to the 4-layered probabilistic neural networks and compute the certain degree-based TI’s. In the end, a comparison between all the computed indices is included and it is also proved that the TI’s of the 4-layered probabilistic neural networks are better being strictly greater than the 3-layered probabilistic neural networks.

Topological Properties of Four-Layered Neural Networks

Department of Mathematics, School of Science

Journal of Artificial Intelligence and Soft Computing Research

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Topological Properties of Four-Layered Neural Networks"}

A topological property or index of a network is a numeric number which characterises the whole structure of the underlying network. It is used to predict the...

Topological Properties of Four-Layered Neural Networks

Publié en ligne: 31 déc. 2018

Pages: 111 - 122

Reçu: 15 juil. 2018

Accepté: 14 oct. 2018

DOI: https://doi.org/10.2478/jaiscr-2018-0028

Mots clés
degree of node, topological properties, neural network, probabilistic neural network

© 2018 M. Javaid et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Topological Properties of Four-Layered Neural Networks

Publié en ligne: 31 déc. 2018

Pages: 111 - 122

Reçu: 15 juil. 2018

Accepté: 14 oct. 2018

DOI: https://doi.org/10.2478/jaiscr-2018-0028

Mots clésdegree of node, topological properties, neural network, probabilistic neural network

© 2018 M. Javaid et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
degree of node, topological properties, neural network, probabilistic neural network