Lecture 13 - EXTRA

Invariance, spatial preprocessing, oscillations,

temporal order information (TOI)

Invariant pattern recognition
Fourier analysis
Log–polar–Fourier filter
Singular solutions
Hopf bifurcation
Coding of temporal order information for event sequences
Free recall paradigm
Models of TOI: buffer, activation gradient, oscillations

Image transforms and preprocessing

• http://en.wikipedia.org/wiki/Fourier_transform

• http://en.wikipedia.org/wiki/Complex_logarithm

• Cavanagh, Patrick (1984) Image transforms in the visual system. In Peter C. Dodwell and Terry Caelli (Eds.) Figural Synthesis. Hillsdale, NJ: Lawrence Erlbaum Associates. pp. 185–218. CC

• Duda, Richard O., and Hart, Peter E. (1973) Pattern Classification and Scene Analysis. New York: Wiley.
  • Chapter 8: The spatial frequency domain, pp. 298–326 CC

Oscillations in dynamical systems: Hopf bifurcation and singular solutions

• Ellias, Samuel A., and Grossberg, Stephen (1975) Pattern formation, contrast control, and oscillations in the short term memory of shunting on–center off–surround networks. Biological Cybernetics, 20, 69–98. CC
  • http://en.wikipedia.org/wiki/Hopf_bifurcation

• Carpenter, Gail A. (1981) Normal and abnormal signal patterns in nerve cells. In Stephen Grossberg (Ed.), Mathematical Psychology and Psychophysiology, AMS/SIAM Symposium Series, 13, pp. 49-90. CC
  • http://en.wikipedia.org/wiki/Hodgkin-Huxley_model

Temporal order information (TOI)

• Grossberg, Stephen (1978) A theory of human memory: Self–organization and performance of sensory–motor codes, maps, and plans. In Progress in Theoretical Biology, 5, New York: Academic Press, pp. 233 – 374. Reprinted in Studies of Mind and Brain, Chapter 13, pp. 498-639. CC
  • Sections 1, 23-38 (From Studies of Mind and Brain, pp. 500-512, 564-591.)

Buffer models

• http://en.wikipedia.org/wiki/Short-term_memory

• Atkinson, Richard C., and Shiffrin, Richard M. (1971) The control of short–term memory. Scientific American, 82–90. CC
  • http://en.wikipedia.org/wiki/Atkinson-Shiffrin_memory_model

• Grossberg, Stephen (1978) A theory of human memory: Self–organization and performance of sensory–motor codes, maps, and plans. In Progress in Theoretical Biology, 5, New York: Academic Press, pp. 233–374. CC
  • Section 61: Automatic versus controlled information processing (SMB: pp. 626-631)