What we mean when we say "What's the dollar of Mexico?": Prototypes and mapping in concept space

AAAI Fall Symposium - Technical Report

Volumn FS-10-08, Issue , 2010, Pages 2-6

  Kanerva, Pentti ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

GEOMETRY; SEMANTICS;

BINARY VECTORS; COGNITIVE MODEL; CONCEPT SPACE; HIGH DIMENSIONAL SPACES; HIGH-DIMENSIONAL; ME-XICO;

MAPPING;

EID: 79960135635     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (23)

1. Aerts, D., Czachor, M. and De Moor, B. 2006. On geometric algebra representation of binary spatter codes. Archive link: http://arxiv.org/abs/cs/ 0610075
2. Aerts, D., Czachor, M. and De Moor, B. 2009. Geometric analogue of holographic reduced representation. Journal of Mathematical Psychology 53(5):389-398. Archive link: http://arxiv.org/abs/0710.2611
3. Cohen, T., Widdows, D., Schvaneveldt, R. W. and Rindflesch, T. C. 2010. Logical leaps and quantum connectives: Forging paths through predication space. This volume.
4. Gärdenfors, P. 2000. Conceptual Spaces: The Geometry of Thought. Cambridge, Mass.: MIT Press.
5. Gayler, R. W. 1998. Multiplicative binding, representation operators, and analogy. Poster abstract. In K. Holyoak, D. Gentner, and B. Kokinov eds. Advances in analogy research, 409. Sofia: New Bulgarian University. Full poster http://cogprints.org/502/.
6. Gentner, D. and Forbus, K. D. 1991. MAC/FAC: A model of similarity-based access and mapping. In Proceedings of the Thirteenth Annual Conference of the Cognitive Science Society, 504-509. Hillsdale, NJ: Lawrence Erlbaum Associates.
7. Gentner, D., Holyoak, K. J. and Kokinov, B. eds. 2001. The Analogical Mind: Perspectives from Cognitive Science. Cambridge, Mass.: MIT Press.
8. Hofstadter, D. R. 1985. Waking up from the Boolean dream, or, Subcognition as computation. In Hofstadter, D. R. Metamagical Themas: Questions of the Essence of Mind and Pattern, 631-665. New York: Basic Books.
9. Hofstadter, D. R. 1995. Speechstuff and thoughtstuff: Musings on the resonances created by words and phrases via the subliminal perception of their buried parts. In Sture Allén, ed. Of Thoughts and Words: The Relation Between Language and Mind. Proceedings of the Nobel Symposium 92, 217-267. London: Imperial College Press/World Scientific.
10. Hofstadter, D. and Fluid Analogies Research Group. 1995, Fluid Concepts and Creative Analogies: Computational Models of the Fundamental Mechanisms of Thought. New York: Basic Books.
11. Holyoak, K. J. and Thagard, P. 1989. Analogical mapping by constraint satisfaction. Cognitive Science 13:295-355.
12. Jones, M. N. and Mewhort, D. J. K. 2007. Representing word meaning and order information in a composite holographic lexicon. Psychological Review 114(1):1-37.
13. Kanerva, P. 1996. Binary spatter-coding of ordered K-tuples. In C. von der Malsburg, W. von Seelen, J. C. Vorbruggen and B. Sendhoff, eds. Artificial Neural Networks - ICANN 96 Proceedings. Lecture Notes in Computer Science 1112:869-873. Berlin: Springer.
14. Kanerva, P. 2009. Hyperdimensional Computing: An introduction to computing in distributed representation with high-dimensional random vectors. Cognitive Computation 1(2):139-159.
15. Kanerva, P., Kristoferson, J. and Holst, A. 2000. Random Indexing of text samples for Latent Semantic Analysis. Poster abstract in Gleitman, L. R. and Josh, A. K. eds. Proceedings of 22nd Annual Conference of the Cognitive Science Society, p. 1036. Mahwah, NJ: Erlbaum.
16. Lakoff, G. and Johnson, M. 1980. Metaphors We Live By. Chicago: University of Chicago Press.
17. Landauer T. and Dumais S. 1997. A solution to Plato's problem: The Latent Semantic Analysis theory of acquisition, induction and representation of knowledge. Psychological Review 104(2):211-240.
18. Mitchell, M. 1993. Analogy-Making as Perception. Cambridge, Mass.: MIT Press.
19. Plate, T. A. 2003. Holographic Reduced Representation: Distributed Representation for Cognitive Structures. Stanford, Calif.: CSLI Publications.
20. Rumelhart, D. E. and McClelland, J. L. 1986. On learning the past tenses of English verbs. In Rumelhart, D., McClelland, J. & the PDP Research Group, eds. Parallel Distributed Processing: Explorations in the Microstructure of Cognition, vol. II, 216-271. Cambridge, Mass.: MIT Press.
21. Sejnowski, T. J. and Rosenberg, C. R. 1986. NETtalk: A parallel network that learns to read aloud. Report JHU/EECS-86/01, Johns Hopkins University Electrical Engineering and Computer Science.
22. Smolensky P. 1990. Tensor product variable binding and the representation of symbolic structures in connectionist networks. Artificial Intelligence 46( 12):159-216.
23. Widdows, D. 2004. Geometry and Meaning. Stanford, Calif.: CSLI Publications.