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Original Article

Modelling transpositional invariancy of melody recognition with an attractor neural network

Pages 313-331 | Received 03 Jan 1995, Published online: 09 Jul 2009

References

  • Dotsenko V S. Neural networks: translation-,rotation- and scale-invariant patterns recognition. J. Phys. A: Math. Gen. 1988; 21: L783–7
  • Longuet-Higgins H C. The perception of music. Proc. R. Soc. Lond. B 1979; 205: 307–22
  • Dowling W J. Scale and contour: two components of a theory of memory for melodies. Psychol. Rev. 1978; 85: 341–54
  • Goldstein E B. Sensation and Perception. Waldsworth 3rd edn, Belmont 1989
  • Cuddy L L, Cohen A J, Miller J. Melody recognition: the experimental application of musical rules. Can. J. Psychol. 1970; 33: 148–57
  • Bartlett J C, Dowling W J. Recognition of transposed melodies: a key-distance effect in development perspective. J. Exp. Psychol.: Hum. Percept. Perform. 1980; 6: 501–15
  • Carterrete E C, Kohl D V, Pitt M A. Similarities among transformed melodies: the abstraction of invariants. Music Percept. 1986; 3: 393–410
  • Bharucha J J. Pitch, harmony, and neural nets: a psychological perspective. Music and Connectionism, P M Todd, D G Loy. MIT Press, Cambridge, MA 1991
  • Bharucha J J, Todd P M. Modeling the perception of tonal structure with neural nets. Music and Connectionism, P M Todd, D G Loy. MIT Press, Cambridge, MA 1991
  • Todd P M. A connectionist approach to algorithmic composition. Music and Connectionism, P M Todd, D G Loy. MIT Press, Cambridge, MA 1991
  • Sompolinsky H, Kanter I. Temporal association in asymetric neural networks. Phys. Rev. Lett. 1986; 57: 2861–4
  • Kleinfeld D. Sequential state generation by model neural networks. Proc. Natl Acad. Sci. USA 1986; 83: 9469–73
  • Gutfreund H, Mézard M. Processing temporal sequences in neural networks. Phys. Rev. Lett. 1988; 61: 235–8
  • Amit D J. Neural networks counting chimes. Proc. Natl Acad. Sci. USA 1988; 85: 2141–6
  • Benusková L. Modelling of the effect of the missing fundamental with an attractor neural network. Network: Comput. Neural Syst. 1994; 5: 333–49
  • Fedor P. Principles of the design of D-neuronal networks: I. Net representation for computer simulation of a melody compositional process. Int. J. Neural Syst. 1992a; 3: 65–73
  • Fedor P. Principles of the design of D-neuronal networks: II. Composing simple melodies. Int. J. Neural Syst. 1992b; 3: 75–82
  • Hopfield J J. Neural networks and physical systems with emergent collective computational abilities. Proc. Natl. Acad. Sci. USA 1982; 79: 2554–8
  • Amit D J, Gutfreund H, Sompolinsky H. Information storage in neural networks with low levels of activity. Phys. Rev. A 1987; 35: 2293–303
  • Kirkpatrick S, Gelatt C D, Jr, Vecchi M P. Optimization by simulated annealing. Science 1983; 220: 671–80
  • Černý V. Thermodynamical approach to the traveling salesman problem: an efficient simulation algorithm. J. Optim. Appl. 1985; 45: 41–51
  • Aitkin L M, Irvine D R F, Webster W R. Central neural mechanisms of hearing. Handbook of Physiology-The Nervous System III. American Physiological Society, Washington, DC 1980
  • Weinberger N M, Diamond D M. Dynamic modulation of the auditory system by associative learning. Auditory Function. Neurobiological Bases of Hearing, G M Edelman, W Einar Gall, W M Cowan. Wiley, New York 1988
  • Merzenich M M, Knight P L, Roth G L. Representation of cochlea within primary auditory cortex in the cat. J. Neurophysiol. 1975; 28: 231–49
  • Reale R A, Imig T J. Tonotopic organization in auditory cortex of the cat. J. Comp. Neurol. 1980; 192: 265–92
  • Morel A, Garraghty P E, Schwaber M K, Burch-Sims P, Kaas J H. Tonotopic organization, architecture and connections of auditory cortex in macaque monkeys. Soc. Neurosci. Abstr. I 1991; 17: 305
  • Morel A, Kaas J H. Subdivisions and connections of auditory cortex in owl monkeys. J. Comp. Neurol. 1992; 318: 27–63
  • Lauter J L, Herscovitch P, Formby C, Raichle M E. Tonotopic organization in human auditory cortex revealed by positron emission tomography. Hearing Res. 1985; 20: 199–205
  • Amit D J. Modeling Brain Functions. The World of Attractor Neural Networks. Cambridge University Press, Cambridge 1989
  • Metropolis C, Rosenbluth A W, Rosenbluth M N, Teller A H, Teller E. Equation of state calculations by fast computing machines. J. Chem. Phys. 1953; 21: 1087–92
  • Clauss G, Ebner H. Grundlagen der Statistik für Psychologen, Pädagogen und Soziologen. Volkseigner, Berlin 1978
  • Peretto P, Niez J-J. Stochastic dynamics of neural networks. IEEE Trans. Syst. Man Cybern. 1986; 16: 17–83
  • De Boer E, Dreschler W A. Auditory psychophysics: spectrotemporal representation of signals. Ann. Rev. Psychol., 38: 181–202
  • Gelperin A, Hopfield J J, Tank D W. The logic of Limax, learning. Model Neural Networks and Behavior, A I Selverston. Plenum, New York 1985
  • Baird B. Nonlinear dynamics of pattern formation and pattern recognition in the rabbit olfactory bulb. Physica 1986; 22D: 150–75
  • Koch C, Marroquin J, Yuille A. Analog ‘neuronal’ networks in early vision. Proc. Natl Acad. Sci. USA 1986; 83: 4263–7
  • Treves A, Rolls E T. Computational constraints suggest the need for two distinct input systems to the hippocampal CA3 network. Hippocampus 1992; 2: 625–39
  • Amit D J, Brunel N. Adequate input for learning in attractor neural networks. Network: Comput. Neural Syst. 1993; 4: 177–94
  • Faber D S, Korn H. Electrical field effects: their relevance in central neural networks. Physiol. Rev. 1989; 69: 821–63

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