Similarity as transformation

Cognition

Volumn 87, Issue 1, 2003, Pages 1-32

  Hahn, Ulrike ^a   Chater, Nick ^b   Richardson, Lucy B ^a  

^a CARDIFF UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF WARWICK   (United Kingdom)

Author keywords

Representations; Similarity; Transformation distance

Indexed keywords

DATA HANDLING; MATHEMATICAL TRANSFORMATIONS;

REPRESENTATIONAL DISTORTIONS;

COGNITIVE SYSTEMS;

ADULT; ARTICLE; CONTROLLED STUDY; CORRELATION ANALYSIS; DISTANCE PERCEPTION; EXPERIMENTAL TEST; FEMALE; HUMAN; HUMAN EXPERIMENT; INFORMATION PROCESSING; MALE; NORMAL HUMAN; PERCEPTION; PREDICTION; PRIORITY JOURNAL; THEORETICAL MODEL; THEORY;

EID: 0346668142     PISSN: 00100277     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0010-0277(02)00184-1     Document Type: Article

References (97)

1. Achinstein P. Variety and analogy in confirmation theory. Philosophy of Science. 30:1963;207-227.
2. Anderson J.R. Arguments concerning representations for mental imagery. Psychological Review. 88:1978;249-277.
3. Anderson J.R. The adaptive character of thought. 1990;Lawrence Erlbaum Associates, Hillsdale, NJ.
4. Ashby F.G., Maddox W.T., Lee W.W. On the dangers of averaging across subjects when using multi-dimensional scaling or the similarity choice model. Psychological Science. 5:1994;144-151.
5. Bailey T.M., Hahn U. Determinants of wordlikeness: lexical or phonotactic? Journal of Memory and Language. 44:2001;568-591.
6. Basri R., Costa L., Geiger D., Jacobs D. Determining the similarity of deformable shapes. Vision Research. 38:1998;2365-2385.
7. Beale J.M., Keil F.C. Categorical effects in the perception of faces. Cognition. 57:1995;217-239.
8. Bennett C.H., Gács P., Li M., Vitányi P., Zurek W. Information distance. IEEE Transactions on Information Theory. IT-44:1998;1407-1423.
9. Biederman I. Human image understanding: recent research and a theory. Computer Vision, Graphics, and Image Processing. 32:1985;29-73.
10. Burr D. Elastic matching of line drawings. IEEE Transactions on Pattern Analysis and Machine Intelligence. 3:1981;708-713.
11. Chater N. Reconciling simplicity and likelihood principles in perceptual organization. Psychological Review. 103:1996;566-581.
12. Chater N. The search for simplicity: a fundamental cognitive principle? Quarterly Journal of Experimental Psychology. 52A:1999;273-302.
13. Chater N., Hahn U. Representational distortion, similarity, and the universal law of generalization. Proceedings of the Interdisciplinary Workshop on Similarity and Categorization, SimCat97. 1997;31-36 Department of Artificial Intelligence, University of Edinburgh, Edinburgh.
14. Chater, N., & Vitányi, P. M. B. (2002). Generalizing the Universal Law of Generalization, submitted for publication.
15. Chater, N., Vitányi, P. M. B., & Stewart, N. (in press). Universal generalization and universal inter-item confusability. Behavioral and Brain Sciences.
16. Chomsky N.A. Aspects of the theory of syntactic structure. 1965;MIT Press, Cambridge, MA.
17. Chomsky N.A. A minimalist program for linguistic theory. Hale K., Keyser S.J. The view from Building 20. 1993;1-52 MIT Press, Cambridge, MA.
18. Cooper L.A. Demonstration of a mental analog of an external rotation. Perception and Psychophysics. 19:1976;296-302.
19. Corballis M.C., Roldan C.E. On the perception of symmetrical and repeated patterns. Perception and Psychophysics. 16:1974;136-142.
20. Dakin S.C. The detection of structure in glass patterns: psychophysics and computational models. Vision Research. 37:1997;2227-2246.
21. Duncan J., Humphreys G. Beyond the search surface - visual search and attentional engagement. Journal of Experimental Psychology: Human Perception and Performance. 18:1992;578-588.
22. Feldman J. The structure of perceptual categories. Journal of Mathematical Psychology. 41:1996;145-170.
23. Fodor J.A. The language of thought. 1975;Cromwell, New York.
24. Fodor J.A. Concepts: where cognitive science went wrong. 1999;Oxford University Press, Oxford.
25. Fodor J.A., McLaughlin B.P. Connectionism and the problem of systematicity: why Smolensky's solution won't work. Cognition. 35:1990;13-204.
26. Fodor J.A., Pylyshyn Z. Connectionism and cognitive architecture: a critical analysis. Cognition. 28:1988;3-71.
27. Franks J.J., Bransford J.D. Abstraction of visual patterns. Journal of Experimental Psychology: Human Perception and Performance. 4:1975;65-74.
28. Garner W.R., Clement D.E. Goodness of pattern and pattern uncertainty. Journal of Verbal Learning and Verbal Behavior. 2:1963;446-452.
29. Gentner D. Structure-mapping: a theoretical framework for analogy. Cognitive Science. 7:1983;155-170.
30. Gentner D. The mechanisms of analogical learning. Vosniadou S., Ortony A. Similarity and analogical reasoning. 1989;199-241 Cambridge University Press, Cambridge.
31. Gick M.I., Holyoak K.J. Analogical problem-solving. Cognitive Psychology. 12:1980;306-355.
32. Goodman N. Problems and projects. 1972;Bobbs Merill, Indianapolis.
33. Goldman A.I. Epistemology and cognition. 1986;Harvard University Press, Cambridge, MA.
34. Goldstone R.L. The role of similarity in categorization: providing a groundwork for cognition. Cognition. 52:1994;125-157.
35. Goldstone R.L., Medin D.L., Gentner D. Relational similarity and the non-independence of features in similarity judgments. Cognitive Psychology. 23:1991;222-262.
36. Grenander U. Elements of pattern theory. 1996;Johns Hopkins University Press, Baltimore, MA.
37. Hahn U., Chater N. Concepts and similarity. Lamberts K., Shanks D. Knowledge, concepts and categories. 1997;43-92 Psychology Press, Hove.
38. Hahn U., Chater N. Similarity and rules. Distinct? Exhaustive? Empirically distinguishable? Cognition. 65:1998;197-230.
39. Hahn U., Chater N. Understanding similarity: a joint project for psychology, case-based reasoning and law. Artificial Intelligence Review. 12:1998;393-427.
40. Hahn U., Chater N. Real-world categories don't allow uniform feature spaces - not just across categories but within categories too. Commentary. Behavioral and Brain Sciences. 21:1998;28.
41. Hahn U., Nakisa R.C. German inflection: single- or dual-route? Cognitive Psychology. 41:2000;313-360.
42. Hahn U., Ramscar M.C.A. Mere similarity? Hahn U., Ramscar M.C.A. Similarity and categorization. 2001;257-272 Oxford University Press, Oxford.
43. Hahn U., Ramscar M.C.A. Similarity and categorization. 2001;Oxford University Press, Oxford.
44. Hampton J.A. Testing the prototype theory of concepts. Journal of Memory and Language. 34:1995;686-708.
45. Hesse M.B. Analogy and confirmation theory. Philosophy of Science. 31:1964;319-327.
46. Hildreth E. The measurement of visual motion. 1983;MIT Press, Cambridge, MA.
47. Hinton G.E., Williams C., Revow M. Adaptive elastic models for hand-printed character recognition. Neural Information Processing Systems. 4:1992;512-519.
48. Hintzmann D.L. Schema abstraction in a multiple-trace memory model. Psychological Review. 93:1986;411-428.
49. Hofstadter D. Fluid concepts and creative analogies: computer models of the fundamental mechanisms of thought. 1997;Allen Lane, London.
50. Hofstadter D.R., Mitchell M. The COPYCAT project: a model of mental fluidity. Holyoak K.J., Barnden J.A. Analogical connections. 1994;Ablex, Norwood, NJ.
51. Holyoak K.J., Koh K. Surface and structural similarity in analogical transfer. Cognition. 15:1987;332-340.
52. Imai S. Pattern similarity and cognitive transformations. Acta Psychologica. 41:1977;433-447.
53. Indurkhya B. Modes of analogy. Jantke K.P. International Workshop on Analogical and Inductive Inference 1989. 1989;217-230 Springer-Verlag, Berlin.
54. Kosslyn S.M. Image and mind. 1980;Harvard University Press, Cambridge, MA.
55. Kosslyn S.M. The medium and the message in mental imagery: a theory. Psychological Review. 88:1981;44-66.
56. Leyton M. A theory of information structure. 1. General principles. Journal of Mathematical Psychology. 30:1986;103-160.
57. Li, M., Li, X., Ma, B., & Vitányi, P. (2001). Normalized Information Distance and Whole Mitochondrial Genome Phylogeny Analysis, submitted for publication.
58. Li M., Vitányi P. An introduction to Kolmogorov complexity and its applications. 2nd ed. 1997;Springer-Verlag, New York.
59. Luce, P. A. (1986). Neighborhoods of Words in the Mental Lexicon. PhD dissertation, Department of Psychology, Indiana University, Bloomington, IN.
60. Markman A.B. Structural alignment, similarity, and the internal structure of category representations. Hahn U., Ramscar M.C.A. Similarity and categorization. 2001;109-130 Oxford University Press, Oxford.
61. Marr D. Vision. 1982;Freeman, San Francisco, CA.
62. McBeath M.K., Shepard R.N. Apparent motion between shapes differing in location and orientation: a window technique for estimating path curvature. Perception and Psychophysics. 46:1989;333-337.
63. Medin D.L., Goldstone R., Gentner D. Respects for similarity. Psychological Review. 100:1993;254-278.
64. Mitchell M. Analogy-making as perception: a computer model. 1993;MIT Press, Cambridge, MA.
65. Mitchell M., Hofstadter D. The emergence of understanding in a computer model of concepts and analogy-making. Physica D. 42:1990;322-334.
66. Mumford D. Pattern theory: a unifying perspective. Knill D., Richards W. Perception as Bayesian inference. 1996;Cambridge University Press, Cambridge.
67. Murphy G., Medin D. The role of theories in conceptual coherence. Psychological Review. 92:1985;289-316.
68. Nosofsky R. Attention, similarity and the identification-categorization relationship. Journal of Experimental Psychology: General. 115:1986;39-57.
69. Oaksford M., Chater N. Rational models of cognition. 1998;Oxford University Press, Oxford.
70. O'Hara S. A model of the redescription process in the context of geometric proportional analogy problems. Jantke K.P. International Workshop on Analogical and Inductive Inference 1992. 1992;268-293 Springer-Verlag, Berlin.
71. Olivers C.N.L., Van der Helm P.A. Symmetry and selective attention: a dissociation between effortless perception and serial search. Perception and Psychophysics. 60:1998;1101-1116.
72. Ortony A. Beyond literal similarity. Psychological Review. 86:1979;161-180.
73. Osherson D.N. Categorization. Osherson D.N., Smith E.E. Thinking: an invitation to cognitive science. 1990;MIT Press, Cambridge, MA.
74. Palmer S.E. Symmetry, transformation, and the structure of perceptual systems. Beck J. Organisation and representation in perception. 1982;95-144 Erlbaum, Hillsdale, NJ.
75. Palmer S.E. The psychology of perceptual organisation: a transformational approach. Beck J., Hope B., Rosenfeld A. Human and machine vision. 1983;269-339 Academic Press, New York.
76. Palmer S.E. Goodness, gestalt, groups, and Garner: local symmetry subgroups as a theory of figural goodness. Lockhead G.R., Pomerantz J.R. The perception of structure: essays in honor of Wendall R. Garner. 1991;23-39 American Psychological Association, Washington, DC.
77. Posner M.I., Goldsmith R., Welton K.E. Jr. Classification of distorted patterns. Journal of Experimental Psychology. 73:1967;28-38.
78. Posner M.I., Keele S.W. Retention of abstract ideas. Journal of Experimental Psychology. 83:1970;304-308.
79. Quinlan J., Rivest R. Inferring decision trees using the minimum description length principle. Information and Computation. 80:1989;227-248.
80. Rips L.J. Inductive judgements about natural categories. Journal of Verbal Learning and Verbal Behavior. 14:1975;665-685.
81. Rissanen J. Stochastic complexity and statistical inquiry. 1989;World Scientific, Singapore.
82. Ross B. Remindings and their effects in learning a cognitive skill. Cognitive Psychology. 16:1984;371-416.
83. Shepard R.N. Second-order isomorphism of internal representations: shapes of states. Cognitive Psychology. 1:1970;1-17.
84. Shepard R.N. Ecological constraints on internal representation: resonant kinematics of perceiving, imaging, thinking, and dreaming. Psychological Review. 91:1984;417-447.
85. Shepard R.N. Toward a universal law of generalization for psychological science. Science. 237:1987;1317-1323.
86. Shepard R.N., Metzler J. Mental rotation of three-dimensional objects. Science. 191:1971;701-703.
87. Shepard R.N. Stimulus and response generalization: a stochastic model relating generalization to distance in psychological space. Psychometrika. 22:1957;325-345.
88. Shepard R.N. Kubovy M., Pomerantz J.R. Psychophysical complementarity. Perceptual Organization. 1981;279-341 Erlbaum, Hillsdale, NJ.
89. Simon H. Complexity and the representation of patterned sequences of symbols. Psychological Review. 79:1972;369-382.
90. Smith E.R., Zarate M.A. Exemplar-based model of social judgment. Psychological Review. 99:1992;3-21.
91. Townsend J., Ashby F. The stochastic modelling of elementary psychological processes. 1983;Cambridge University Press, Cambridge.
92. Tversky A. Features of similarity. Psychological Review. 84:1977;327-352.
93. Ullman S. Aligning pictorial descriptions: an approach to object recognition. Cognition. 32:1989;193-254.
94. Ullman S. High-level vision: object recognition and visual cognition. 1996;MIT Press, London.
95. Wallace C.S., Boulton D.M. An information measure for classification. Computing Journal. 11:1968;185-195.
96. Weyl H. Symmetry. 1952;Princeton University Press, Princeton, NJ.
97. Young A.W., Rowland D., Calder A.J., Etcoff N.L., Seth A., Perrett D.I. Facial expressions megamix: tests of dimensional and category accounts of emotion recognition. Cognition. 63:1997;271-313.