Arid
DOI10.1037/xan0000227
On the Origins of Computationally Complex Behavior
Grace, Randolph C.; Carvell, Georgina E.; Morton, Nicola J.; Grice, Matt; Wilson, Anna J.; Kemp, Simon
通讯作者Grace, RC (corresponding author), Univ Canterbury, Dept Psychol, Christchurch 8041, New Zealand.
会议名称42nd Annual Meeting of the Society-for-the-Quantitative-Analyses-of-Behavior (SQAB)
会议日期MAY 23-24, 2019
会议地点Chicago, IL
英文摘要There is considerable evidence for computationally complex behavior, that is, behavior that appears to require the equivalent of mathematical calculation by the organism. Spatial navigation by path integration is perhaps the best example. The most influential account of such behavior has been Gallistel's (1990) computational-representational theory, which assumes that organisms represent key environmental variables such as direction and distance traveled as real numbers stored in engrams and are able to perform arithmetic computations on those representations. But how are these computations accomplished? A novel perspective is gained from the historical development of algebra. We propose that computationally complex behavior suggests that the perceptual system represents an algebraic field, which is a mathematical concept that expresses the structure underlying arithmetic. Our field representation hypothesis predicts that the perceptual system computes 2 operations on represented magnitudes, not 1. We review recent research in which human observers were trained to estimate differences and ratios of stimulus pairs in a nonsymbolic task without explicit instruction (Grace, Morton, Ward, Wilson, & Kemp, 2018). Results show that the perceptual system automatically computes two operations when comparing stimulus magnitudes. A field representation offers a resolution to longstanding controversies in psychophysics about which of 2 algebraic operations is fundamental (e.g., the Fechner-Stevens debate), overlooking the possibility that both might be. In terms of neural processes that might support computationally complex behavior, our hypothesis suggests that we should look for evidence of 2 operations and for symmetries corresponding to the additive and multiplicative groups.
英文关键词spatial navigation computation representation psychophysics abstract algebra
来源出版物JOURNAL OF EXPERIMENTAL PSYCHOLOGY-ANIMAL LEARNING AND COGNITION
ISSN2329-8456
EISSN2329-8464
出版年2020
卷号46
期号1
页码1-15
出版者AMER PSYCHOLOGICAL ASSOC
类型Article; Proceedings Paper
语种英语
收录类别CPCI-S ; CPCI-SSH
WOS记录号WOS:000557767700001
WOS关键词PATH-INTEGRATION ; DESERT ANTS ; RATIO ; NAVIGATION ; SCALE ; FECHNER ; SEARCH ; LAW ; INFORMATION ; DIFFERENCE
WOS类目Psychology, Biological ; Behavioral Sciences ; Psychology ; Psychology, Experimental ; Zoology
WOS研究方向Psychology ; Behavioral Sciences ; Zoology
资源类型会议论文
条目标识符http://119.78.100.177/qdio/handle/2XILL650/337053
作者单位[Grace, Randolph C.; Carvell, Georgina E.; Morton, Nicola J.; Grice, Matt; Wilson, Anna J.; Kemp, Simon] Univ Canterbury, Dept Psychol, Christchurch 8041, New Zealand
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Grace, Randolph C.,Carvell, Georgina E.,Morton, Nicola J.,et al. On the Origins of Computationally Complex Behavior[C]:AMER PSYCHOLOGICAL ASSOC,2020:1-15.
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