Quantum learning for neural associative memories

Fuzzy Sets and Systems

Volumn 157, Issue 13, 2006, Pages 1797-1813

  Rigatos, G G ^a   Tzafestas, S G ^b  

^a INDUSTRIAL SYSTEMS INSTITUTE   (Greece)

^b NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

Associative memories; Eigenstructure analysis; Hebbian learning; Quantum learning; Strong fuzzy partition; Unitary rotations

Indexed keywords

FUZZY CONTROL; LEARNING ALGORITHMS; LEARNING SYSTEMS; NEURAL NETWORKS; PATTERN RECOGNITION; QUANTUM THEORY; VECTOR QUANTIZATION;

ASSOCIATIVE MEMORIES; EIGENSTRUCTURE ANALYSIS; HEBBIAN LEARNING; QUANTUM LEARNING; STRONG FUZZY PARTITION; UNITARY ROTATIONS;

DATA PROCESSING;

EID: 33646554806     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2006.02.012     Document Type: Article

References (23)

1. S. Banyopadhyay, L. Menon, N. Kouklin, P.F. Williams, N.J. Ianno, Self-assembled networks with neural computing attributes, Smart Materials and Structures, Institute of Physics Publishing, vol. 11, 2002, pp. 761-766.
2. E.C. Behrman, L.R. Nash, J.E. Steck, V.G. Chandrashekar, S.R. Skinner, Simulations of quantum neural networks, Inform. Sci. 128 (2000) 257-269.
3. Cohen-Tannoudji C., Diu B., and Laloë F. Mécanique Quantique I (1998), Hermann, Paris
4. H. de Garis, R. Sriram, Z. Zhang, Quantum generation of neural networks, in: Proc. Internat. Joint Conf. on Neural Networks, IJCNN '03, vol. 4, 2003, pp. 2589-2593.
5. Ezhov A.A., Nifanova A.V., and Dan Ventura. Quantum associative memory with distributed queries. Inform. Sci. 128 (2000) 271-293
6. S. Hagan, S.R. Hameroff, J.A. Tuzyinski, Physical Review E, American Physical Society, vol. 65, 2002.
7. Haykin S. Neural Networks: A Comprehensive Foundation (1994), McMillan
8. Hopfield J.J. Neural networks as physical systems with emergent computational abilities. Proc. Natl. Acad. Sci. USA 79 (1982) 2444-2558
9. S. Kak, Quantum computing and AI, IEEE Intelligent Systems, July/August, 1999, pp. 9-11.
10. Kosko B. Neural Networks and Fuzzy Systems: A Dynamical Systems Approach to Machine Intelligence (1992), Prentice-Hall, Englewood Cliffs, NJ
11. Nielsen M., and Chuang I.L. Quantum Computation and Quantum Information (2000), Cambridge University Press, Cambridge
12. Penrose R. Shadows of the Mind (1994), Oxford University Press, New York
13. Perus M. Multi-level synergetic computation in brain. Nonlinear Phenomena in Complex Systems 4 2 (2001) 157-193
14. Purusothaman G., and Karayiannis N.B. Quantum neural networks (QNNS)-inherently fuzzy feedforward neural networks. IEEE Transactions on Neural Networks 8 3 (1997) 679-693
15. Pribram K.H. Brain and Perception (1991), Lawrence Erlbaum Association, Hillsdale, NJ
16. Resconi G., and van der Wal A.J. Morphogenic neural networks encode abstract rules by data. Inform. Sci. 142 (2002) 249-273
17. Rigatos G.G., and Tzafestas S.G. Parallelization of a fuzzy control algorithm using quantum computation. IEEE Transactions on Fuzzy Systems 10 4 (2002) 451-460
18. G.G. Rigatos, S.G. Tzafestas, Fuzzy learning compatible with quantum mechanics postulates, Computational Intelligence and Natural Computation, CINC '03, North Carolina, 2003.
19. Spencer R.G. Bipolar spectral associative memories. IEEE Transactions on Neural Networks 12 3 (2001) 463-475
20. Tzafestas S.G., and Rigatos G.G. Stability analysis of an adaptive fuzzy control system using petri nets and learning automata. Math. Comput. Simulation 51 3-4 (2000) 315-341
21. D. Ventura, Quantum computational intelligence: answers and questions, IEEE Intelligent Systems, July/August, 1999, pp. 14-16.
22. D. Ventura, T. Martinez, An artificial neuron with quantum mechanical properties, Proc. Internat. Conf. on Artificial Neural Networks and Genetic Algorithms, 1997, pp. 482-485.
23. Ventura D., and Martinez T. Quantum associative memory. Inform. Sci. 124 1-4 (2000) 273-296