Pure Reasoning in 12-Month-Old Infants as Probabilistic Inference

Twelve-month-old infants employ Bayesian statistics. Many organisms can predict future events from the statistics of past experience, but humans also excel at making predictions by pure reasoning: integrating multiple sources of information, guided by abstract knowledge, to form rational expectations about novel situations, never directly experienced. Here, we show that this reasoning is surprisingly rich, powerful, and coherent even in preverbal infants. When 12-month-old infants view complex displays of multiple moving objects, they form time-varying expectations about future events that are a systematic and rational function of several stimulus variables. Infants’ looking times are consistent with a Bayesian ideal observer embodying abstract principles of object motion. The model explains infants’ statistical expectations and classic qualitative findings about object cognition in younger babies, not originally viewed as probabilistic inferences.

[1]  宁北芳,et al.  疟原虫var基因转换速率变化导致抗原变异[英]/Paul H, Robert P, Christodoulou Z, et al//Proc Natl Acad Sci U S A , 2005 .

[2]  A. Yuille,et al.  Object perception as Bayesian inference. , 2004, Annual review of psychology.

[3]  Sarah C. Creel,et al.  Distant melodies: statistical learning of nonadjacent dependencies in tone sequences. , 2004, Journal of experimental psychology. Learning, memory, and cognition.

[4]  A. Woodward Infants selectively encode the goal object of an actor's reach , 1998, Cognition.

[5]  L. Cosmides,et al.  Are humans good intuitive statisticians after all? Rethinking some conclusions from the literature on judgment under uncertainty , 1996, Cognition.

[6]  Julian N. Marewski,et al.  Proceedings of the 31st Annual Meeting of the Cognitive Science Society , 2009 .

[7]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[8]  Fei Xu,et al.  Intuitive statistics by 8-month-old infants , 2008, Proceedings of the National Academy of Sciences.

[9]  Karen Wynn,et al.  Addition and subtraction by human infants , 1992, Nature.

[10]  R. Baillargeon,et al.  Do 15-Month-Old Infants Understand False Beliefs? , 2005, Science.

[11]  J. Tenenbaum,et al.  Optimal Predictions in Everyday Cognition , 2006, Psychological science.

[12]  G. Csibra,et al.  Teleological reasoning in infancy: the naı̈ve theory of rational action , 2003, Trends in Cognitive Sciences.

[13]  J. Tenenbaum,et al.  Theory-based Bayesian models of inductive learning and reasoning , 2006, Trends in Cognitive Sciences.

[14]  D. Geary,et al.  Psychonomic Bulletin Review , 2000 .

[15]  Dhiraj Joshi,et al.  Object Categorization: Computer and Human Vision Perspectives , 2008 .

[16]  Vittorio Girotto,et al.  Intuitions of probabilities shape expectations about the future at 12 months and beyond , 2007, Proceedings of the National Academy of Sciences.

[17]  E. Spelke,et al.  Object permanence in five-month-old infants , 1985, Cognition.

[18]  A. Endress,et al.  The Social Sense: Susceptibility to Others’ Beliefs in Human Infants and Adults , 2010, Science.

[19]  R. Aslin,et al.  Statistical learning of higher-order temporal structure from visual shape sequences. , 2002, Journal of experimental psychology. Learning, memory, and cognition.

[20]  Peter Norvig,et al.  Artificial Intelligence: A Modern Approach , 1995 .

[21]  D. McDermott LANGUAGE OF THOUGHT , 2012 .

[22]  Scott P. Johnson,et al.  Infants' perception of object trajectories. , 2003, Child development.

[23]  E. Spelke,et al.  Perception of partly occluded objects in infancy , 1983, Cognitive Psychology.

[24]  R. Baillargeon,et al.  2.5-Month-Old Infants' Reasoning about When Objects Should and Should Not Be Occluded , 1999, Cognitive Psychology.

[25]  J. B. Trobalon,et al.  Statistical computations over a speech stream in a rodent , 2005, Perception & psychophysics.

[26]  Philip N. Johnson-Laird,et al.  Naive Probability: A Mental Model Theory of Extensional Reasoning , 1999 .

[27]  G. Engel,et al.  Neuropsychology , 1994, Schizophrenia Research.

[28]  Leslie Smith,et al.  Norms in Human Development , 2009 .

[29]  Chris L. Baker,et al.  Action understanding as inverse planning , 2009, Cognition.

[30]  R. Rosenfeld Nature , 2009, Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery.

[31]  Charles Kemp,et al.  How to Grow a Mind: Statistics, Structure, and Abstraction , 2011, Science.

[32]  M. Hauser,et al.  Segmentation of the speech stream in a non-human primate: statistical learning in cotton-top tamarins , 2001, Cognition.

[33]  E. Spelke,et al.  Origins of knowledge. , 1992, Psychological review.

[34]  E. Newport,et al.  WORD SEGMENTATION : THE ROLE OF DISTRIBUTIONAL CUES , 1996 .

[35]  Scott D. Brown,et al.  Detecting and predicting changes , 2009, Cognitive Psychology.

[36]  Marina Nespor,et al.  Signal-Driven Computations in Speech Processing , 2002, Science.

[37]  Michael I. Jordan,et al.  Advances in Neural Information Processing Systems 30 , 1995 .

[38]  Gerd Gigerenzer,et al.  How to Improve Bayesian Reasoning Without Instruction: Frequency Formats , 1995 .

[39]  Teresa Wilcox,et al.  Infants' use of speed information to individuate objects in occlusion events , 2003 .

[40]  S. Carey,et al.  Infants’ Metaphysics: The Case of Numerical Identity , 1996, Cognitive Psychology.

[41]  Elizabeth S. Spelke,et al.  Les origines du concept d'objet , 1986 .