ON THE TOPOLOGICAL PROPERTIES OF THE CERTAIN NEURAL NETWORKS

被引:21
|
作者
Liu, Jia-Bao [1 ,2 ]
Zhao, Jing [2 ]
Wang, Shaohui [3 ]
Javaid, M. [4 ]
Cao, Jinde [1 ]
机构
[1] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China
[2] Anhui Jianzhu Univ, Sch Math & Phys, Hefei, Anhui, Peoples R China
[3] Savannah State Univ, Dept Math, Savannah, GA 31404 USA
[4] Univ Management & Technol, Sch Sci, Dept Math, Lahore, Pakistan
基金
美国国家科学基金会; 中国博士后科学基金;
关键词
neural network; topological indices; Graph theory; MULTIPLICATIVE ZAGREB INDEXES; LOCAL VERTEX INVARIANTS; DISTANCE MATRIX; GRAPH; DESCRIPTORS; DIAMETER;
D O I
10.1515/jaiscr-2018-0016
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
A topological index is a numeric quantity associated with a network or a graph that characterizes its whole structural properties. In [Javaid and Cao, Neural Computing and Applications, DOI 10.1007/s00521-017-2972-1], the various degree-based topological indices for the probabilistic neural networks are studied. We extend this study by considering the calculations of the other topological indices, and derive the analytical closed formulas for these new topological indices of the probabilistic neural network. Moreover, a comparative study using computer-based graphs has been carried out first time to clarify the nature of the computed topological descriptors for the probabilistic neural networks. Our results extend some known conclusions.
引用
收藏
页码:257 / 268
页数:12
相关论文
共 50 条
  • [1] Topological properties of cellular neural networks
    Imran, Muhammad
    Siddiqui, Muhammad Kamran
    Baig, Abdul Qudair
    Khalid, Waqas
    Shaker, Hani
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 37 (03) : 3605 - 3614
  • [2] Topological Properties on Neural Networks Using Graph Properties
    Kavitha Kolekar Chandrashekar
    Jagatheswari Srirangan
    Dhivviyanandam Irudayaraj
    Circuits, Systems, and Signal Processing, 2025, 44 (3) : 1669 - 1696
  • [3] The effect of the neural activity on topological properties of growing neural networks
    Gafarov, F. M.
    Gafarova, V. R.
    JOURNAL OF INTEGRATIVE NEUROSCIENCE, 2016, 15 (03) : 305 - 319
  • [4] TOPOLOGICAL PROPERTIES OF FOUR-LAYERED NEURAL NETWORKS
    Javaid, M.
    Abbas, M.
    Liu, Jia-Bao
    Teh, W. C.
    Cao, Jinde
    JOURNAL OF ARTIFICIAL INTELLIGENCE AND SOFT COMPUTING RESEARCH, 2019, 9 (02) : 111 - 122
  • [5] Computation of topological indices of certain networks
    Hayat, Sakander
    Imran, Muhammad
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 240 : 213 - 228
  • [6] The Calculations of Topological Indices on Certain Networks
    Liu, Jia-Bao
    Zhang, Ting
    Hayat, Sakander
    JOURNAL OF MATHEMATICS, 2021, 2021
  • [7] On topological indices of certain interconnection networks
    Imran, Muhammad
    Hayat, Sakander
    Mailk, Muhammad Yasir Hayat
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 244 : 936 - 951
  • [8] Paratopological (topological) groups with certain networks
    Liu, Chuan
    COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2014, 55 (01): : 111 - 119
  • [9] Computing topological indices of certain networks
    Siddiqui, M. K.
    Naeem, M.
    Rahman, N. A.
    Imran, M.
    JOURNAL OF OPTOELECTRONICS AND ADVANCED MATERIALS, 2016, 18 (9-10): : 884 - 892
  • [10] TOPOLOGICAL PROPERTIES OF CONTINUOUS NEURAL NETWORKS WITH ANALOG NEURONS.
    Tanaka, Akio
    Noguchi, Shoichi
    Systems, computers, controls, 1978, 9 (01): : 9 - 16