Neural computation based on principles of quantum mechanics can provide improved models of memory processes and brain functioning and is of importance for the realization of quantum computing machines. To this end, this paper studies neural structures with weights that follow the model of the quantum harmonic oscillator. These weights correspond to diffusing particles, which interact to each other as the theory of Brownian motion predicts. The learning of the stochastic weights (convergence of the diffusing particles to an equilibrium) is analyzed. In the case of associative memories the proposed neural model results in an exponential increase of the number of attractors. Spectral analysis shows that the stochastic weights satisfy an equation which is analogous to the principle of uncertainty.
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6 September 2007
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference of Numerical Analysis and Applied Mathematics
16–20 September 2007
Corfu (Greece)
Research Article|
September 06 2007
Attractors and Spectral Characteristics of Neural Structures Based on the Model of the Quantum Harmonic Oscillator
Gerasimos G. Rigatos
Gerasimos G. Rigatos
Unit of Industrial Automation, Industrial Systems Institute, 26504, Rion Patras, Greece
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AIP Conf. Proc. 936, 464–467 (2007)
Citation
Gerasimos G. Rigatos; Attractors and Spectral Characteristics of Neural Structures Based on the Model of the Quantum Harmonic Oscillator. AIP Conf. Proc. 6 September 2007; 936 (1): 464–467. https://doi.org/10.1063/1.2790180
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