Abstract
In this paper, we detect threshold-driven phase transitions in the homogeneous random neural network. When the neurons are arranged as one dimension, the critical threshold is two, while in two dimensions counterpart, the critical threshold is four. We declare that random neural network is a specific case of Abstract neural automata. So we conclude that phase transitions in the random neural network can produce thought in human brain. We successfully apply the network to interpret the relation between diseases and syndrome in Traditional Chinese Medicine.
The work was supported by the National Basic Research Program of China (973 Program) under grant No. (2003CB517106) and NSFC Projects under Grant No. 60621001.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Xi, G.C.: Abstract neural automata. Kybernete: The International Journal of System. and Cybernetics 27, 81–86 (1998)
Xi, G.C.: Variability of structure of abstract neural automata and the ability of thought. Kybernete: The International Journal of System. and Cybernetics 30, 1549–1554 (2003)
Hoshino, O., Kashimori, Y., Kambara, T.: Self-organized phase transitions in neural networks as a neural mechanism of information processing. PNAS 93, 3303–3307 (1996)
Hertz, J., Krogh, A., Thorbergsson, G.: Phase transitions in simple learning. J. Phys. A: Math. Gen. 22, 2133–2150 (1989)
Hoshino, O., Kashimori, Y., Kambara, T.: Self-organized phase transitions in neural networks as a neural mechanism of information processing. PNAS 93, 3303–3307 (1996)
Gelenbe, E., Stafylopatis, A.: Global behavior of homogeneous random neural systems. Appl. Math. Modelling 15, 534–541 (1991)
Jo, S., Yin, J., Mao, Z.H.: Random neural networks with state-dependent firing neurons. IEEE Transactions on Neural Networks 16, 980–983 (2005)
Yao, K.W.: Quantitative diagnosis of blood stasis syndrome and research on combination syndrome with disease. Doctoral Thesis, Chinese Academy of Traditional Chinese Medicine (2004)
Kozlov, O.K.: Gibbsian description of point random fields. Theory. Prob. Appl. 21, 339–355 (1976)
Xue, T.H., Roy, R.: Studying Traditional Chinese Medicine. Science 300, 740–741 (2003)
Normile, D.: The New Face of Traditional Chinese Medicine. Science 299, 188–190 (2003)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer Berlin Heidelberg
About this paper
Cite this paper
Xi, G., Chen, J. (2007). Phase Transitions Caused by Threshold in Random Neural Network and Its Medical Applications. In: Liu, D., Fei, S., Hou, Z., Zhang, H., Sun, C. (eds) Advances in Neural Networks – ISNN 2007. ISNN 2007. Lecture Notes in Computer Science, vol 4492. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72393-6_137
Download citation
DOI: https://doi.org/10.1007/978-3-540-72393-6_137
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-72392-9
Online ISBN: 978-3-540-72393-6
eBook Packages: Computer ScienceComputer Science (R0)