Abstract

Advanced perceptual systems are faced with the problem of securing a principled relationship between the world and its internal representation. I propose a unified approach to visual representation, based on Shepard's (1968) notion of second-order isomorphism. According to the proposed theory, a shape is represented internally by the responses of a few tuned modules, each of which is broadly selective for some reference shape, whose similarity to the stimulus it measures. The result is a philosophically appealing, computationally feasible, biologically credible, and formally veridical representation of a distal shape space. This approach supports representation of and discrimination among shapes radically different from the reference ones, while bypassing the need for the computationally problematic decomposition into parts; it also addresses the needs of shape categorization, and can be used to derive a range of models of perceived similarity. Representation is Representation of Sim...

Citations

1783	An Introduction to the Bootstrap - Tibshirani, R - 1993
1491	Support-vector networks - Cortes, Vapnik - 1995
846	Visual learning and recognition of 3-d objects from appearance - Murase, Nayar - 1995
721	Organization of Behavior - Hebb - 1949
704	Features of similarity - Tversky - 1977
675	The symbol grounding problem - Harnad - 1990
605	Learning quickly when irrelevant attributes abound: A new linear-threshold algorithm - Littlestone - 1988
404	Consciousness explained - Dennett - 1991
376	The geometry of graphs and some of its algorithmic applications - Linial, London, et al. - 1995
369	Representation and recognition of the spatial organization of three-dimensional shapes - Marr, Nishihara - 1978
369	Basic objects in natural categories - Rosch, Mervis, et al. - 1976
330	The Senses Considered as Perceptual Systems - Gibson - 1966
314	The Organization of Learning - Gallistel - 1990
298	Active perception - Bajcsy - 1988
266	Knowledge and the Flow of Information - Dretske - 1981
243	On Lipschitz embedding of finite metric spaces in Hilbert space - Bourgain - 1985
242	A network that learns to recognize threedimensional objects. Nature 343 - Poggio, Edelman - 1990
238	Multidimensional scaling by optimizing goodness of fit to a non-metric hypothesis. Psychometrika 29 - Kruskal - 1964
232	Toward a universal law of generalization for psychological science - Shepard - 1987
229	Regularization algorithms for learning that are equivalent to multilayer networks - Poggio, Girosi - 1990
219	Fuzzy ARTMAP: A neural network architecture for incremental supervised learning of analog multidimensional maps - Carpenter, Grossberg, et al. - 1992
190	The wake-sleep algorithm for unsupervised neural networks - Hinton, Dayan, et al. - 1995
184	An Essay Concerning Human Understanding - Locke - 1689
179	Object recognition using multidimensional receptive field histograms - Schiele, Crowley - 1996
178	The analysis of proximities: Multidimensional scaling with an unknown distance function - Shepard - 1962
165	The Helmholtz machine - Dayan, Hinton, et al. - 1995
159	Respects for similarity - Medin, Goldstone, et al. - 1993
153	Closed-form solutions for physically based shape modeling and recognition - Pentland, Sclaroff - 1991
142	Recognition by components: A theory of human image understanding - Biederman - 1987
136	Aligning pictorial descriptions: an approach to object recognition - Ullman - 1989
133	Receptive fields of single neurons in the cat’s striate cortex - Hubel, Wiesel - 1959
125	Morphometric Tools for Landmark Data: Geometry and Biology - Bookstein - 1991
124	Shape manifolds, procrustean metrics, and complex projective spaces - Kendall - 1984
124	SEEMORE: Combining color, shape and texture histogramming in a neurally-inspired approach to visual object recognition - Mel - 1997
110	H: Representation and Reality - Putnam
106	Image representations for visual learning - Beymer, Poggio - 1996
103	Solving the “real” mysteries of visual perception: The world as an outside memory - O’Regan - 1992
100	Neuronal selectivities to complex object features in the ventral visual pathway of the macaque cerebral cortex - Kobatake, Tanaka - 1994
99	Early processing of visual information - Marr - 1976
89	Fundamental aspects of cognitive representation - Palmer - 1978
89	Schemata: The building blocks of cognition - Rumelhart - 1980
84	Visual neurones responsive to faces in the monkey temporal cortex. Exp - Perrett, Rolls, et al. - 1982
83	Induction: Processes of inference, learning and discovery - Holland, Holyoak, et al. - 1986
82	Coding visual images of objects in the inferotemporal cortex of the macaque monkey - Tanaka, Saito, et al. - 1991
78	Psychosemantics - Fodor - 1987
78	Structural alignment during similarity comparisons - Markman, Gentner - 1993
78	White Queen Psychology and Other Essays for Alice - Millikan, G - 1993
78	On the computational architecture of the neocortex II. The role of cortico-cortical loops - Mumford - 1992
77	Objective function formulation of the BCM theory of visual cortical plasticity: Statistical connections, stability conditions, Neural Networks - Intrator, Cooper - 1992
77	Exemplar-based accounts of relations between classification, recognition, and typicality - Nosofsky - 1988