Lévy-like diffusion in eye movements during spoken-language comprehension.

This study explores the diffusive properties of human eye movements during a language comprehension task. In this task, adults are given auditory instructions to locate named objects on a computer screen. Although it has been convention to model visual search as standard Brownian diffusion, we find evidence that eye movements are hyperdiffusive. Specifically, we use comparisons of maximum-likelihood fit as well as standard deviation analysis and diffusion entropy analysis to show that visual search during language comprehension exhibits Lévy-like rather than Gaussian diffusion.

[1]  Andreas Voss,et al.  A fast numerical algorithm for the estimation of diffusion model parameters , 2008 .

[2]  Michael T. Turvey,et al.  Strong anticipation: Sensitivity to long-range correlations in synchronization behavior , 2008 .

[3]  Christopher T. Kello,et al.  The Pervasiveness of 1/f Scaling in Speech Reflects the Metastable Basis of Cognition , 2008, Cogn. Sci..

[4]  J. O'Regan,et al.  Solving the "real" mysteries of visual perception: the world as an outside memory. , 1992, Canadian journal of psychology.

[5]  John M. Ennis,et al.  A neurobiological theory of automaticity in perceptual categorization. , 2007, Psychological review.

[6]  R. Ratcliff,et al.  Human cognition and a pile of sand: a discussion on serial correlations and self-organized criticality. , 2005, Journal of experimental psychology. General.

[7]  Bruce J. West,et al.  Lévy dynamics of enhanced diffusion: Application to turbulence. , 1987, Physical review letters.

[8]  R. Ratcliff,et al.  A comparison of macaque behavior and superior colliculus neuronal activity to predictions from models of two-choice decisions. , 2003, Journal of neurophysiology.

[9]  A L Goldberger,et al.  Generalized Lévy-walk model for DNA nucleotide sequences. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[10]  T. J. Sullivan,et al.  Homeostatic synaptic scaling in self-organizing maps , 2006, Neural Networks.

[11]  A. V. van den Berg,et al.  An invariant for timing of saccades during visual search , 2005, Vision Research.

[12]  D. Ballard,et al.  Memory Representations in Natural Tasks , 1995, Journal of Cognitive Neuroscience.

[13]  Daniel C. Richardson,et al.  Representation, space and Hollywood Squares: looking at things that aren't there anymore , 2000, Cognition.

[14]  L. Barsalou,et al.  Whither structured representation? , 1999, Behavioral and Brain Sciences.

[15]  Bruce J. West,et al.  Multiscaling comparative analysis of time series and geophysical phenomena , 2005, Complex..

[16]  Frederic Bartumeus,et al.  ANIMAL SEARCH STRATEGIES: A QUANTITATIVE RANDOM‐WALK ANALYSIS , 2005 .

[17]  Deborah J. Aks,et al.  Memory Across Eye-Movements: 1/f Dynamic in Visual Search , 2010 .

[18]  Michael T. Turvey,et al.  Human memory retrieval as Lévy foraging , 2007 .

[19]  R. Ratcliff,et al.  Estimation and interpretation of 1/fα noise in human cognition , 2004 .

[20]  Bruce J. West,et al.  Dynamical model for DNA sequences. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[21]  Jennifer M. Roche,et al.  Exploring Action Dynamics as an Index of Paired-Associate Learning , 2008, PloS one.

[22]  Todd S. Horowitz,et al.  Visual search has no memory , 1998, Nature.

[23]  A. Treisman,et al.  A feature-integration theory of attention , 1980, Cognitive Psychology.

[24]  Vito Latora,et al.  Lévy scaling: the diffusion entropy analysis applied to DNA sequences. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[25]  Damián H. Zanette Persistence in Lévy-flight anomalous diffusion , 1997 .

[26]  P. A. Prince,et al.  Lévy flight search patterns of wandering albatrosses , 1996, Nature.

[27]  David R. Anderson,et al.  Model selection and multimodel inference : a practical information-theoretic approach , 2003 .

[28]  Linda B. Smith,et al.  A Dynamic Systems Approach to the Development of Cognition and Action , 2007, Journal of Cognitive Neuroscience.

[29]  Thomas L. Thornton,et al.  Provenance of correlations in psychological data , 2005, Psychonomic bulletin & review.

[30]  Paolo Grigolini,et al.  Scaling detection in time series: diffusion entropy analysis. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[31]  R. Ratcliff,et al.  1/f noise in human cognition: Is it ubiquitous, and what does it mean? , 2006, Psychonomic bulletin & review.

[32]  Roger Ratcliff,et al.  A diffusion model account of the lexical decision task. , 2004, Psychological review.

[33]  A. M. Edwards,et al.  Revisiting Lévy flight search patterns of wandering albatrosses, bumblebees and deer , 2007, Nature.

[34]  Nicolas E. Humphries,et al.  Scaling laws of marine predator search behaviour , 2008, Nature.

[35]  G. V. van Orden,et al.  Self-organization of cognitive performance. , 2003, Journal of experimental psychology. General.

[36]  Frederic Bartumeus,et al.  LÉVY PROCESSES IN ANIMAL MOVEMENT: AN EVOLUTIONARY HYPOTHESIS , 2007 .

[37]  D. Gilden Cognitive emissions of 1/f noise. , 2001, Psychological review.

[38]  Roger Ratcliff,et al.  A Theory of Memory Retrieval. , 1978 .

[39]  Julie C. Sedivy,et al.  Subject Terms: Linguistics Language Eyes & eyesight Cognition & reasoning , 1995 .

[40]  Risto Miikkulainen,et al.  Semantic Boost on Episodic Associations: An Empirically-Based Computational Model , 2007, Cogn. Sci..

[41]  Bruce J West,et al.  Multiscaling comparative analysis of time series and a discussion on "earthquake conversations" in California. , 2004, Physical review letters.

[42]  M. Tanenhaus,et al.  The time course of spoken word learning and recognition: studies with artificial lexicons. , 2003, Journal of experimental psychology. General.

[43]  F Bartumeus,et al.  Optimizing the encounter rate in biological interactions: Lévy versus Brownian strategies. , 2002, Physical review letters.

[44]  Paul D. Allopenna,et al.  Tracking the Time Course of Spoken Word Recognition Using Eye Movements: Evidence for Continuous Mapping Models , 1998 .

[45]  Preeti Verghese,et al.  The psychophysics of visual search , 2000, Vision Research.

[46]  G. V. van Orden,et al.  Human cognition and 1/f scaling. , 2005, Journal of experimental psychology. General.

[47]  C. Peng,et al.  Mosaic organization of DNA nucleotides. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[48]  E. Montroll,et al.  On 1/f noise and other distributions with long tails. , 1982, Proceedings of the National Academy of Sciences of the United States of America.

[49]  A. Glenberg,et al.  What memory is for: Creating meaning in the service of action , 1997, Behavioral and Brain Sciences.