Information and Entropy in Neural Networks and Interacting Systems

作者: Fariel Shafee

DOI:

关键词:

摘要: In this dissertation we present a study of certain characteristics interacting systems that are related to information. The first is periodicity, correlation and other information-related properties neural networks integrate-andfire type. We also form quasiclassical quantum generalizations such identify the similarities differences with classical prototype. indicate why entropy may be an important concept for network generalization definition required. Like networks, large ensembles similar units interact need information-theoretic concepts. extend Shannon in novel way, which relevant when have systems, show how it differs from generalizations, as Tsallis entropy. stochasticity arise interactions entangled environment system terms Shannon’s generalized entropies differences. Such indicated use prior probability distributions fit data per Bayesian rules. suggest possible versions pattern recognition, principal goal information processing most networks.

参考文章(100)
Swartz Be, Goldensohn Es, Timeline of the history of EEG and associated fields. Electroencephalography and Clinical Neurophysiology. ,vol. 106, pp. 173- 176 ,(1998)
Domingo Morales, María Dolores Esteban, A summary on entropy statistics Kybernetika. ,vol. 31, pp. 337- 346 ,(1995)
Jill C. Bonner, H. W. J. Blöte, Hans Beck, Gerhard Müller, Quantum Spin Chains Springer, Berlin, Heidelberg. pp. 115- 128 ,(1981) , 10.1007/978-3-642-81592-8_11
Jim Napolitano, Jun John Sakurai, Modern Quantum Mechanics ,(1985)
F. Shafee, Lambert function and a new non-extensive form of entropy Ima Journal of Applied Mathematics. ,vol. 72, pp. 785- 800 ,(2007) , 10.1093/IMAMAT/HXM039
Max Tegmark, Importance of quantum decoherence in brain processes. Physical Review E. ,vol. 61, pp. 4194- 4206 ,(2000) , 10.1103/PHYSREVE.61.4194
Chris Diorio, Paul Hasler, Bradley A. Minch, Carver Mead, A Complementary Pair of Four-Terminal Silicon Synapses Analog Integrated Circuits and Signal Processing. ,vol. 13, pp. 153- 166 ,(1997) , 10.1023/A:1008244314595
S.M. Crook, G.B. Ermentrout, M.C. Vanier, J.M. Bower, The role of axonal delay in the synchronization of networks of coupled cortical oscillators. Journal of Computational Neuroscience. ,vol. 4, pp. 161- 172 ,(1997) , 10.1023/A:1008843412952