A Computational Account of the Development of the Generalization of Shape Information

Abecassis, Sera, Yonas, and Schwade (2001) showed that young children represent shapes more metrically, and perhaps more holistically, than do older children and adults. How does a child transition from representing objects and events as undifferentiated wholes to representing them explicitly in terms of their attributes? According to RBC (Recognition-by-Components theory; Biederman, 1987), objects are represented as collections of categorical geometric parts ("geons") in particular categorical spatial relations. We propose that the transition from holistic to more categorical visual shape processing is a function of the development of geon-like representations via a process of progressive intersection discovery. We present an account of this transition in terms of DORA (Doumas, Hummel, & Sandhofer, 2008), a model of the discovery of relational concepts. We demonstrate that DORA can learn representations of single geons by comparing objects composed of multiple geons. In addition, as DORA is learning it follows the same performance trajectory as children, originally generalizing shape more metrically/holistically and eventually generalizing categorically.

[1]  D. Gentner,et al.  Comparison and Categorization in the Development of Relational Similarity , 1996 .

[2]  John E. Hummel,et al.  Distributed representations of structure: A theory of analogical access and mapping. , 1997 .

[3]  M. Farah,et al.  Parts and Wholes in Face Recognition , 1993, The Quarterly journal of experimental psychology. A, Human experimental psychology.

[4]  Nathan Intrator,et al.  Towards structural systematicity in distributed, statically bound visual representations , 2003, Cogn. Sci..

[5]  R. Luce,et al.  Individual Choice Behavior: A Theoretical Analysis. , 1960 .

[6]  T. Poggio,et al.  Hierarchical models of object recognition in cortex , 1999, Nature Neuroscience.

[7]  Manuela Friedrich,et al.  Early Word Learning , 2010 .

[8]  I. Biederman,et al.  Dynamic binding in a neural network for shape recognition. , 1992, Psychological review.

[9]  Linda B. Smith,et al.  The importance of shape in early lexical learning , 1988 .

[10]  Charles A. Nelson,et al.  Basic and applied perspectives on learning, cognition, and development , 1995 .

[11]  K. Holyoak,et al.  A symbolic-connectionist theory of relational inference and generalization. , 2003, Psychological review.

[12]  James A. Dixon,et al.  On the spontaneous discovery of a mathematical relation during problem solving , 2004, Cogn. Sci..

[13]  Linda B. Smith.  From global similarities to kinds of similarities: the construction of dimensions in development , 1989 .

[14]  D. Gentner,et al.  Language and the career of similarity. , 1991 .

[15]  I. Biederman.  Recognition-by-components: a theory of human image understanding. , 1987, Psychological review.

[16]  I. Biederman,et al.  Tuning for shape dimensions in macaque inferior temporal cortex , 2005, The European journal of neuroscience.

[17]  J. Elman.  Distributed representations, simple recurrent networks, and grammatical structure , 1991, Machine Learning.

[18]  Richard S. Busby,et al.  Generalizable Relational Binding from Coarse-coded Distributed Representations , 2001, NIPS.

[19]  D. Gentner,et al.  Comparison in the Development of Categories , 1999 .

[20]  Leonidas A. A. Doumas,et al.  A Symbolic-Connectionist Model of Relation Discovery , 2005 .

[21]  Derek C. Penn,et al.  Darwin's mistake: Explaining the discontinuity between human and nonhuman minds , 2008, Behavioral and Brain Sciences.

[22]  John H. Holland,et al.  Induction: Processes of Inference, Learning, and Discovery , 1987, IEEE Expert.

[23]  A Yonas,et al.  What's in a shape? Children represent shape variability differently than adults when naming objects. , 2001, Journal of experimental child psychology.

[24]  W. R. Garner.  The Processing of Information and Structure , 1974 .

[25]  Ellen M. Markman,et al.  Early Word Learning , 1997 .

[26]  Brian J Stankiewicz,et al.  Empirical evidence for independent dimensions in the visual representation of three-dimensional shape. , 2002, Journal of experimental psychology. Human perception and performance.

[27]  Linda B. Smith,et al.  The place of perception in children's concepts ☆ , 1993 .

[28]  Mutsurni Irnai,et al.  A cross-linguistic study of early word meaning : universal ontology and linguistic influence , 1994 .

[29]  J. Hummel,et al.  Modeling Human Mental Representations: What Works, What doesn't and Why? , 2005 .

[30]  Linda B. Smith,et al.  Syntactic context and the shape bias in children's and adults' lexical learning , 1992 .

[31]  R. Duncan Luce,et al.  Individual Choice Behavior: A Theoretical Analysis , 1979 .

[32]  Leonidas A A Doumas,et al.  A theory of the discovery and predication of relational concepts. , 2008, Psychological review.