PATTERN RECOGNITION WITH HAMILTONIAN DYNAMICS

Alexei B. Potapov () and M. K. Ali ()
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Alexei B. Potapov: Department of Physics, The University of Lethbridge, 4401 University Dr. W. Lethbridge, Alberta T1K 3M4, Canada
M. K. Ali: Department of Physics, The University of Lethbridge, 4401 University Dr. W. Lethbridge, Alberta T1K 3M4, Canada

International Journal of Modern Physics C (IJMPC), 2001, vol. 12, issue 05, 751-758

Abstract: We consider pattern recognition schemes that are based upon Hamiltonian dynamical system. Different oscillatory modes are used for storing and encoding patterns, and the effect of resonance is used for determining the most excited mode. We also propose a new technique for pattern orthogonalization resorting to hidden dimensions. Numerical experiments confirm high storage capacity and absence of false memories for the proposed system. Hamiltonian systems may be important as classical analogs of quantum computing systems or quantum neural networks.

Keywords: Hamiltonian System; Pattern Recognition; Neural Networks (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1142/S0129183101001948

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