An artificial neural network that uses coarse allocentric coding of direction to represent distances between locations in a metric space

Spatial Cognition and Computation

Volumn 5, Issue 1, 2005, Pages 29-67

  Dawson, Michael R W ^a   Boechler, Patricia M ^a   Orsten, Jill ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Cognitive map; Multilayer perceptron; Non metric representation; Scope slip

Indexed keywords

COGNITIVE MAPS; DIRECTIONAL MEASUREMENT; DIRECTIONAL SIGNALS; INTERNAL STRUCTURE; MODULARIZATIONS; MULTI LAYER PERCEPTRON; NON-METRIC; SCOPE SLIP;

MODULAR CONSTRUCTION;

NEURAL NETWORKS;

EID: 84875980759     PISSN: 13875868     EISSN: 15427633     Source Type: Journal    
DOI: 10.1207/s15427633scc0501_2     Document Type: Article

References (63)

1. Ballard, D. (1986). Cortical structures and parallel processing: Structure and function. Behavioral and Brain Sciences, 9, 67-120.
2. Bekris, K. E., Argyros, A. A., & Kavraki, L. E. (2004). Angle-based methods for mobile robot navigation: Reaching the entire plane. In Proceedings of the 2004 IEEE International Conference on Robotics & Automation (pp. 2373-2378). New Orleans, LA.
3. Bennett, A. T. D. (1996). Do animals have cognitive maps? Journal of Experimental Biology, 199, 219-224.
4. Berkeley, I. S. N., Dawson, M. R. W., Medler, D. A., Schopflocher, D. P., & Hornsby, L. (1995). Density plots of hidden value unit activations reveal interpretable bands. Connection Science, 7, 167-186.
5. Best, P. J., White, A. M., & Minai, A. (2001). Spatial processing in the brain: The activity of hippocampal place cells. Annual Review of Neuroscience, 24, 459-486.
6. Braitenberg, V. (1984). Vehicles: Explorations in synthetic psychology. Cambridge, MA: MIT Press.
7. Burgess, N., Recce, M., & O'Keefe, J. (1995). Spatial models of the hippocampus. In M. A. Arbib (Ed.), The Handbook of Brain Theory and Neural Networks (pp. 468-472). Cambridge, MA: MIT Press.
8. Cartwright, B. A., & Collett, T. S. (1983). Landmark learning in bees: Experiments and models. Journal of Comparative Physiology, 151, 521-543.
9. Cheng, K. (2000). How honeybees find a place: Lessons from a simple mind. Animal Learning & Behavior, 28, 1-15.
10. Cheng, K., & Spetch, M. L. (1998). Mechanisms of landmark use in mammals and birds. In S. Healy (Ed.), Spatial representation in animals (pp. 1-17). Oxford: Oxford University Press.
11. Dawson, M. R. W. (1998). Understanding cognitive science. Oxford, UK: Blackwell.
12. Dawson, M. R. W. (2004). Minds and machines: Connectionism and psychological modeling. Malden, MA: Blackwell.
13. Dawson, M. R. W., Boechler, P. M., & Valsangkar-Smyth, M. (2000). Representing space in a PDP network: Coarse allocentric coding can mediate metric and nonmetric spatial judgements. Spatial Cognition and Computation, 2, 181-218.
14. Dawson, M. R. W., & Harshman, R. A. (1986). The multidimensional analysis of asymmetries in alphabetic confusion matrices: Evidence for global-to-local and local-to-global processing. Perception & Psychophysics, 40, 370-383.
15. Dawson, M. R. W., Medler, D. A., & Berkeley, I. S. N. (1997). PDP networks can provide models that are not mere implementations of classical theories. Philosophical Psychology, 10, 25-40.
16. Dawson, M. R. W., Medler, D. A., McCaughan, D. B., Willson, L., & Carbonaro, M. (2000). Using extra output learning to insert a symbolic theory into a connectionist network. Minds and Machines, 10, 171-201.
17. Dawson, M. R. W., & Piercey, C. D. (2001). On the subsymbolic nature of a PDP architecture that uses a nonmonotonic activation function. Minds and Machines, 11, 197-218.
18. Dawson, M. R. W., & Schopflocher, D. P. (1992). Modifying the generalized delta rule to train networks of nonmonotonic processors for pattern classification. Connection Science, 4, 19-31.
19. Dawson, M. R. W., & Zimmerman, C. (2003). Interpreting the internal structure of a connectionist model of the balance scale task. Brain & Mind, 4, 129-149.
20. Duch, W., & Jankowski, N. (1999). Survey of neural transfer functions. Neural Computing Surveys, 2, 163-212.
21. Dyer, F. C. (1991). Bees acquire route-based memories but not cognitive maps in a familiar landscape. Animal Behaviour, 41, 239-246.
22. Eichenbaum, H. (2002). The cognitive neuroscience of memory: An introduction. Oxford; New York: Oxford University Press.
23. Eichenbaum, H., Dudchenko, P., Wood, E., Shapiro, M., & Tanila, H. (1999). The hippocampus, memory, and place cells: Is it spatial memory or a memory space? Neuron, 23, 209-226.
24. Fenton, A. A., Csizmadia, G., & Muller, R. U. (2000a). Conjoint control of hippocampal place cell firing by two visual stimuli I: The effects of moving the stimuli on firing-field positions. Journal of General Physiology, 116, 191-209.
25. Fenton, A. A., Csizmadia, G., & Muller, R. U. (2000b). Conjoint control of hippocampal place cell firing by two visual stimuli II: A vector-field theory that predicts modifications of the representation of the environment. Journal of General Physiology, 116, 211-221.
26. Fodor, J. A. (1983). The modularity of mind. Cambridge, MA: MIT Press.
27. Gallistel, C. R. (1990). The organization of learning. Cambridge, MA: MIT Press.
28. Gallistel, C.R. (1998). Insect navigation: Brains as symbol-processing organs. In D. Scarorough & S. Sternberg (Eds), An invitation to Cognitive Science: Vol. 4. Methods, models and conceptual issues (2nd ed., pp. 1-52). Cambridge, MA: MIT Press.
29. Gould, J. L. (1986). The locale map of honey-bees: Do insects have cognitive maps? Science, 232, 861-863.
30. Gould, J. L. (2002). Can honey bees create cognitive maps? In M. Bekoff, C. Allen & G. M. Burghardt (Eds.), The cognitive animal (pp. 41-45). Cambridge, MA: MIT Press.
31. Jacobs, L. F. (2003). The evolution of the cognitive map. Brain, Behavior and Evolution, 62, 128-139.
32. Jacobs, L. F., & Schenk, F. (2003). Unpacking the cognitive map: The parallel map theory of hippocampal function. Psychological Review, 110, 285-315.
33. Jensen, O., & Lisman, J. E. (2000). Position reconstruction from an ensemble of hippocampal place cells: Contribution of theta phase coding. Journal of Neurophysiology, 83, 2602-2609.
34. Jones, J. E., & Kamil, A. C. (2001). The use of relative and absolute bearings by Clark's nutcrackers, Nucifraga columbiana. Animal Learning & Behavior, 29, 120-132.
35. Kamil, A. C., & Cheng, K. (2001). Way-finding and landmarks: The multiplebearings hypothesis. Journal of Experimental Biology, 204, 103-113.
36. Kamil, A. C., & Jones, J. E. (1997). The seed-storing corvid Clark's nutcracker learns geometric relationships among landmarks. Nature, 390, 276-279.
37. Kamil, A. C., & Jones, J. E. (2000). Geometric rule learning by Clark's nutcrackers (Nucifraga columbiana). Journal of Experimental Psychology-Animal Behavior Processes, 26, 439-453.
38. Kitchin, R. M. (1994). Cognitive maps: What are they and why study them? Journal of Environmental Psychology, 14, 1-19.
39. Knierim, J. J., Kudrimoti, H. S., & McNaughton, B. L. (1998). Interactions between idiothetic cues and external landmarks in the control of place cells and head direction cells. Journal of Neurophysiology, 80, 425-446.
40. Kruskal, J. B., & Wish, M. (1978). Multidimensional scaling. Beverly Hills, CA: Sage Publications.
41. Leighton, J. P., & Dawson, M. R. W. (2001). A parallel distributed processing model of Wason's selection task. Cognitive Systems Research, 2, 207-231.
42. McNaughton, B., Barnes, C. A., Gerrard, J. L., Gothard, K., Jung, M. W., Knierim, J. J., Kudrimoti, H., Qin, Y., Skaggs, W. E., Suster, M., & Weaver, K. L. (1996). Deciphering the hippocampal polyglot: The hippocampus as a path integration system. The Journal of Experimental Biology, 199, 173-185.
43. McNaughton, B. L., Barnes, C. A., & O'Keefe, J. (1983). The contributions of position, direction, and velocity to single unit-activity in the hippocampus of freely-moving rats. Experimental Brain Research, 52, 41-49.
44. Muller, R. U., Bostock, E., Taube, J. S., & Kubie, J. L. (1994). On the directional firing properties of hippocampal place cells. Journal of Neuroscience, 14(12), 7235-7251.
45. O'Keefe, J., & Burgess, N. (1996). Geometric determinants of the place fields of hippocampal neurones. Nature, 381, 425-428.
46. O'Keefe, J., & Nadel, L. (1978). The hippocampus as a cognitive map. Oxford: Clarendon Press.
47. Pfeifer, R., & Scheier, C. (1999). Understanding intelligence. Cambridge, MA: MIT Press.
48. Pylyshyn, Z. W. (1981). The imagery debate: Analogue media versus tacit knowledge. Psychological Review, 88, 16-45.
49. Redish, A. D. (1999). Beyond the cognitive map. Cambridge, MA: MIT Press.
50. Redish, A. D., & Touretzky, D. S. (1999). Separating hippocampal maps. In N. Burgess, K. J. Jeffery, & J. O'Keefe (Eds.), The hippocampal and parietal foundations of spatial cognition (pp. 203-219). Oxford: Oxford University Press.
51. Rumelhart, D. E., Hinton, G. E., & Williams, R. J. (1986). Learning representations by back-propagating errors. Nature, 323, 533-536.
52. Sharp, P. E., Blair, H. T., & Cho, J. W. (2001). The anatomical and computational basis of the rat head-direction cell signal. Trends in Neurosciences, 24, 289-294.
53. Shettleworth, S. J. (2002). Spatial behavior, food storing, and the modular mind. In M. Bekoff, C. Allen, & G. M. Burghardt (Eds.), The cognitive animal (pp. 123-128). Cambridge, MA: MIT Press.
54. Smolensky, P. (1988). On the proper treatment of connectionism. Behavioral and Brain Sciences, 11, 1-74.
55. Spetch, M. L., Rust, T. B., Kamil, A. C., & Jones, J. E. (2003). Searching by rules: Pigeons' (Columba livia) landmark-based search according to constant bearing or constant distance. Journal of Comparative Psychology, 117, 123-132.
56. Taube, J. S. (1998). Head direction cells and the neurophysiological basis for a sense of direction. Progress in Neurobiology, 55, 225-256.
57. Tolman, E. C. (1948). Cognitive maps in rats and men. Psychological Review, 55, 189-208.
58. Touretzky, D. S., Wan, H. S., & Redish, A. D. (1994). Neural representation of space in rats and robots. In J. M. Zurada, R. J. Marks & C. J. Robinson (Eds.), Computational Intelligence: Imitating Life. New York: IEEE Press.
59. von Frisch, K. (1966). The dancing bees: An account of the life and senses of the honey bee (2nd ed.). London: Methuen.
60. von Frisch, K. (1967). The dance language and orientation of bees. Cambridge, MA: Belknap Press of Harvard University Press.
61. Wehner, R., Bleuler, S., Nievergelt, C., & Shah, D. (1990). Bees navigate by using vectors and routes rather than maps. Naturwissenschaften, 77, 479-482.
62. Wehner, R., & Menzel, R. (1990). Do insects have cognitive maps? Annual Review of Neuroscience, 13, 403-414.
63. Worden, R. (1992). Navigation by fragment fitting: A theory of hippocampal function. Hippocampus, 2, 165-188.