The time course of perceptual choice: the leaky, competing accumulator model.

The time course of perceptual choice is discussed in a model of gradual, leaky, stochastic, and competitive information accumulation in nonlinear decision units. Special cases of the model match a classical diffusion process, but leakage and competition work together to address several challenges to existing diffusion, random walk, and accumulator models. The model accounts for data from choice tasks using both time-controlled (e.g., response signal) and standard reaction time paradigms and its adequacy compares favorably with other approaches. A new paradigm that controls the time of arrival of information supporting different choice alternatives provides further support. The model captures choice behavior regardless of the number of alternatives, accounting for the log-linear relation between reaction time and number of alternatives (Hick's law) and explains a complex pattern of visual and contextual priming in visual word identification.

[1]  J. Merkel Die zeitlichen Verhältnisse der Willensthätigkeit , 1883 .

[2]  HighWire Press Philosophical Transactions of the Royal Society of London , 1781, The London Medical Journal.

[3]  R. Thouless Experimental Psychology , 1939, Nature.

[4]  J. Wolfowitz,et al.  Optimum Character of the Sequential Probability Ratio Test , 1948 .

[5]  W. E. Hick Quarterly Journal of Experimental Psychology , 1948, Nature.

[6]  R. Luce,et al.  Decision structure and time relations in simple choice behavior , 1956 .

[7]  G. A. Miller THE PSYCHOLOGICAL REVIEW THE MAGICAL NUMBER SEVEN, PLUS OR MINUS TWO: SOME LIMITS ON OUR CAPACITY FOR PROCESSING INFORMATION 1 , 1956 .

[8]  M. Stone Models for choice-reaction time , 1960 .

[9]  D. Erlick Judgments of the relative frequency of a sequential series of two events. , 1961, Journal of experimental psychology.

[10]  D. LaBerge A recruitment theory of simple behavior , 1962 .

[11]  D. Kernell,et al.  Quantitative aspects of repetitive firing of mammalian motoneurones, caused by injected currents , 1963, The Journal of physiology.

[12]  R. Audley,et al.  SOME ALTERNATIVE STOCHASTIC MODELS OF CHOICE1 , 1965 .

[13]  D. Laming A new interpretation of the relation between choice-reaction time and the number of equiprobable alternatives. , 1966, The British journal of mathematical and statistical psychology.

[14]  David R. Cox,et al.  The Theory of Stochastic Processes , 1967, The Mathematical Gazette.

[15]  R J Audley,et al.  The relation between decision time and relative response frequency in a blue-green discrimination. , 1968, The British journal of mathematical and statistical psychology.

[16]  Donald Laming,et al.  Information theory of choice-reaction times , 1968 .

[17]  A. Pike Latency and relative frequency of response in psychophysical discrimination. , 1968, The British journal of mathematical and statistical psychology.

[18]  D. Vickers,et al.  Evidence for an accumulator model of psychophysical discrimination. , 1970, Ergonomics.

[19]  Douglas Vickers,et al.  Discriminating between the frequency of occurrence of two alternative events , 1971 .

[20]  D. F. Fisher,et al.  Hick's law and the speed-accuracy trade-off in absolute judgment , 1972 .

[21]  Richard G. Swensson,et al.  The elusive tradeoff: Speed vs accuracy in visual discrimination tasks , 1972 .

[22]  G. Robert Grice,et al.  Application of a variable criterion model to auditory reaction time as a function of the type of catch trial , 1972 .

[23]  P. Dettmar [Using the Fick's shifting hypothesis to explain dyschromatopsia in a model computation for data processing of disordered colored vision in man]. , 1972, Kybernetik.

[24]  J. Cowan,et al.  Excitatory and inhibitory interactions in localized populations of model neurons. , 1972, Biophysical journal.

[25]  A V Reed,et al.  Speed-Accuracy Trade-Off in Recognition Memory , 1973, Science.

[26]  W H Teichner,et al.  Laws of visual choice reaction time. , 1974, Psychological review.

[27]  J. Wilding,et al.  Effects of stimulus discriminability on the latency distribution of identification responses. , 1974, Acta psychologica.

[28]  S. Link,et al.  A sequential theory of psychological discrimination , 1975 .

[29]  A. V. Reed,et al.  List length and the time course of recognition in immediate memory , 1976, Memory & cognition.

[30]  W. Precht The synaptic organization of the brain G.M. Shepherd, Oxford University Press (1975). 364 pp., £3.80 (paperback) , 1976, Neuroscience.

[31]  Stephen A. Ritz,et al.  Distinctive features, categorical perception, and probability learning: some applications of a neural model , 1977 .

[32]  Preference and the time to choose , 1977 .

[33]  J. Hammersley,et al.  Diffusion Processes and Related Topics in Biology , 1977 .

[34]  Albert T. Corbett,et al.  Associative Interference and Retrieval Dynamics in Yes-No Recall and Recognition. , 1977 .

[35]  Wayne A. Wickelgren,et al.  Speed-accuracy tradeoff and information processing dynamics , 1977 .

[36]  Donald G. Jamieson,et al.  Relation between probability of preferential choice and time to choose changes with practice. , 1978 .

[37]  H. F. J. M. Buffart,et al.  Formal theories of visual perception , 1978 .

[38]  Albert T. Corbett,et al.  Semantic Memory Retrieval: Analysis by Speed Accuracy Tradeoff Functions* , 1978, The Quarterly journal of experimental psychology.

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

[40]  D. Vickers Decision processes in visual perception , 1979 .

[41]  J. S. Barlow The mindful brain: B.M. Edelman and V.B. Mountcastle (MIT Press, Cambridge, Mass., 1978, 100 p., U.S. $ 10.00) , 1979 .

[42]  G. Shepherd The Synaptic Organization of the Brain , 1979 .

[43]  James L. McClelland On the time relations of mental processes: An examination of systems of processes in cascade. , 1979 .

[44]  R. Ratcliff Group reaction time distributions and an analysis of distribution statistics. , 1979, Psychological bulletin.

[45]  Roger Ratcliff,et al.  A note on modeling accumulation of information when the rate of accumulation changes over time , 1980 .

[46]  B. Fischhoff,et al.  Journal of Experimental Psychology: Human Learning and Memory , 1980 .

[47]  R. Heath A tandem random walk model for psychological discrimination. , 1981, The British journal of mathematical and statistical psychology.

[48]  R. Ratcliff A theory of order relations in perceptual matching. , 1981 .

[49]  T. Salthouse Converging evidence for information-processing stages: A comparative-influence stage-analysis method , 1981 .

[50]  James T. Townsend Some characteristics of visual whole report behavior , 1981 .

[51]  James L. McClelland,et al.  Expectations Increase the Benefit Derived from Parafoveal Visual Information in Reading Words Aloud. , 1981 .

[52]  James L. McClelland,et al.  An interactive activation model of context effects in letter perception: Part 2. The contextual enhancement effect and some tests and extensions of the model. , 1982, Psychological review.

[53]  R. Ratcliff,et al.  Speed and Accuracy in the Processing of False Statements About Semantic Information , 1982 .

[54]  J J Hopfield,et al.  Neural networks and physical systems with emergent collective computational abilities. , 1982, Proceedings of the National Academy of Sciences of the United States of America.

[55]  G. Edelman Group selection and phasic reentrant signaling a theory of higher brain function , 1982 .

[56]  F. Ashby A biased random walk model for two choice reaction times , 1983 .

[57]  James T. Townsend,et al.  The Stochastic Modeling of Elementary Psychological Processes , 1983 .

[58]  R. Ratcliff Theoretical interpretations of the speed and accuracy of positive and negative responses. , 1985, Psychological review.

[59]  James L. McClelland,et al.  The TRACE model of speech perception , 1986, Cognitive Psychology.

[60]  Geoffrey E. Hinton,et al.  Learning internal representations by error propagation , 1986 .

[61]  P. Smolensky,et al.  Neural and conceptual interpretation of PDP models , 1986 .

[62]  Geoffrey E. Hinton,et al.  Schemata and Sequential Thought Processes in PDP Models , 1986 .

[63]  A. P. Georgopoulos,et al.  Neuronal population coding of movement direction. , 1986, Science.

[64]  Geoffrey E. Hinton,et al.  A general framework for parallel distributed processing , 1986 .

[65]  James L. McClelland,et al.  Parallel distributed processing: explorations in the microstructure of cognition, vol. 1: foundations , 1986 .

[66]  Stephen Grossberg,et al.  Competitive Learning: From Interactive Activation to Adaptive Resonance , 1987, Cogn. Sci..

[67]  H Heuer,et al.  Visual discrimination and response programming , 1987, Psychological research.

[68]  B. McNaughton,et al.  Hippocampal synaptic enhancement and information storage within a distributed memory system , 1987, Trends in Neurosciences.

[69]  Philip L. Smith,et al.  The accumulator model of two-choice discrimination , 1988 .

[70]  Stephen Wolfram,et al.  Mathematica: a system for doing mathematics by computer (2nd ed.) , 1991 .

[71]  Y. Miyashita Neuronal correlate of visual associative long-term memory in the primate temporal cortex , 1988, Nature.

[72]  D. Massaro Some criticisms of connectionist models of human performance , 1988 .

[73]  R Ratcliff,et al.  Continuous versus discrete information processing modeling accumulation of partial information. , 1988, Psychological review.

[74]  C. Eriksen,et al.  Pre- and poststimulus activation of response channels: a psychophysiological analysis. , 1988, Journal of experimental psychology. Human perception and performance.

[75]  D. Massaro Testing between the TRACE model and the fuzzy logical model of speech perception , 1989, Cognitive Psychology.

[76]  B. Dosher,et al.  Serial position and set size in short-term memory: The time course of recognition , 1989 .

[77]  D. Amit Modelling Brain Function: The World of Attractor Neural Networks , 1989 .

[78]  James L. McClelland Stochastic Interactive Activation and the Effect of Context on Perception , 1989 .

[79]  James L. McClelland,et al.  A distributed, developmental model of word recognition and naming. , 1989, Psychological review.

[80]  A. Larkman,et al.  Correlations between morphology and electrophysiology of pyramidal neurons in slices of rat visual cortex. II. Electrophysiology , 1990, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[81]  James L. McClelland,et al.  On the control of automatic processes: a parallel distributed processing account of the Stroop effect. , 1990, Psychological review.

[82]  James L. McClelland Stochastic interactive processes and the effect of context on perception , 1991, Cognitive Psychology.

[83]  A. A. J. Marley,et al.  A Connectionist Model of Choice and Reaction Time in Absolute Identification , 1991 .

[84]  Keiji Tanaka,et al.  Coding visual images of objects in the inferotemporal cortex of the macaque monkey. , 1991, Journal of neurophysiology.

[85]  Anders Krogh,et al.  Introduction to the theory of neural computation , 1994, The advanced book program.

[86]  D. Massaro,et al.  Integration versus interactive activation: The joint influence of stimulus and context in perception , 1991, Cognitive Psychology.

[87]  Geoffrey E. Hinton,et al.  Lesioning an attractor network: investigations of acquired dyslexia. , 1991, Psychological review.

[88]  M. McCloskey Networks and Theories: The Place of Connectionism in Cognitive Science , 1991 .

[89]  Daniel J. Amit,et al.  Quantitative Study of Attractor Neural Network Retrieving at Low Spike Rates: I , 1991 .

[90]  F. AbbottPhysics FIRING-RATE MODELS FOR NEURAL POPULATIONSL , 1991 .

[91]  C. Gray,et al.  Visually evoked oscillations of membrane potential in cells of cat visual cortex. , 1992, Science.

[92]  J. Cohen,et al.  Context, cortex, and dopamine: a connectionist approach to behavior and biology in schizophrenia. , 1992, Psychological review.

[93]  E. Capaldi,et al.  The organization of behavior. , 1992, Journal of applied behavior analysis.

[94]  James L. McClelland,et al.  A parallel distributed processing approach to automaticity. , 1992, The American journal of psychology.

[95]  James L. McClelland Toward a theory of information processing in graded, random, and interactive networks , 1993 .

[96]  J. Townsend,et al.  Decision field theory: a dynamic-cognitive approach to decision making in an uncertain environment. , 1993, Psychological review.

[97]  John Duncan,et al.  A neural basis for visual search in inferior temporal cortex , 1993, Nature.

[98]  A. Hayes Mathematica: A system for doing mathematics by computer , 1993, The Mathematical Gazette.

[99]  David E. Meyer,et al.  Attention and performance XIV (silver jubilee volume): synergies in experimental psychology, artificial intelligence, and cognitive neuroscience , 1993 .

[100]  William R. Softky,et al.  The highly irregular firing of cortical cells is inconsistent with temporal integration of random EPSPs , 1993, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[101]  Javier R. Movellan,et al.  Learning Continuous Probability Distributions with Symmetric Diffusion Networks , 1993, Cogn. Sci..

[102]  Marius Usher,et al.  Network Amplification of Local Fluctuations Causes High Spike Rate Variability, Fractal Firing Patterns and Oscillatory Local Field Potentials , 1994, Neural Computation.

[103]  G. Loftus,et al.  Sensory and cognitive components of visual information acquisition. , 1994, Psychological review.

[104]  G. Kane Parallel Distributed Processing: Explorations in the Microstructure of Cognition, vol 1: Foundations, vol 2: Psychological and Biological Models , 1994 .

[105]  Bard Ermentrout,et al.  Reduction of Conductance-Based Models with Slow Synapses to Neural Nets , 1994, Neural Computation.

[106]  Michael N. Shadlen,et al.  Noise, neural codes and cortical organization , 1994, Current Opinion in Neurobiology.

[107]  M. Humphreys,et al.  Toward a theory of human memory: Data structures and access processes , 1994, Behavioral and Brain Sciences.

[108]  N Brunel,et al.  Correlations of cortical Hebbian reverberations: theory versus experiment , 1994, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[109]  D. Vickers,et al.  THE FREQUENCY ACCRUAL SPEED TEST (FAST) : A NEW MEASURE OF 'MENTAL SPEED' ? , 1995 .

[110]  Philip L. Smith Psychophysically principled models of visual simple reaction time. , 1995 .

[111]  A. Diederich Intersensory facilitation of reaction time: evaluation of counter and diffusion coactivation models , 1995 .

[112]  Usher,et al.  Dynamic pattern formation leads to 1/f noise in neural populations. , 1995, Physical review letters.

[113]  C. Koch,et al.  Recurrent excitation in neocortical circuits , 1995, Science.

[114]  James L. McClelland,et al.  Understanding normal and impaired word reading: computational principles in quasi-regular domains. , 1996, Psychological review.

[115]  E. Niebur,et al.  Modeling the Temporal Dynamics of IT Neurons in Visual Search: A Mechanism for Top-Down Selective Attention , 1996, Journal of Cognitive Neuroscience.

[116]  R. Desimone,et al.  Neural Mechanisms of Visual Working Memory in Prefrontal Cortex of the Macaque , 1996, The Journal of Neuroscience.

[117]  R Ratcliff,et al.  A counter model for implicit priming in perceptual word identification. , 1997, Psychological review.

[118]  Diederich,et al.  Dynamic Stochastic Models for Decision Making under Time Constraints , 1997, Journal of mathematical psychology.

[119]  D. Vickers,et al.  Memory capacity and intelligence: novel techniques for evaluating rival models of a fundamental information-processing mechanism. , 1997, The Journal of general psychology.

[120]  S. Liversedge,et al.  Neighborhood Effects Using a Partial Priming Methodology: Guessing or Activation? , 1998 .

[121]  R. Desimone Visual attention mediated by biased competition in extrastriate visual cortex. , 1998, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[122]  Jeffrey N. Rouder,et al.  Modeling Response Times for Two-Choice Decisions , 1998 .

[123]  J. C. Anderson,et al.  Estimates of the net excitatory currents evoked by visual stimulation of identified neurons in cat visual cortex. , 1998, Cerebral cortex.

[124]  R. Desimone,et al.  Competitive Mechanisms Subserve Attention in Macaque Areas V2 and V4 , 1999, The Journal of Neuroscience.

[125]  Dietmar Heinke,et al.  Connectionist Models in Cognitive Neuroscience , 1999, Perspectives in Neural Computing.

[126]  Marius Usher,et al.  Short Term Memory and Selection Processes in a Frontal-Lobe Model , 1999 .

[127]  R. Ratcliff,et al.  Connectionist and diffusion models of reaction time. , 1999, Psychological review.

[128]  Douglas Vickers,et al.  Dynamic Models of Simple Judgments: II. Properties of a Self-Organizing PAGAN (Parallel, Adaptive, Generalized Accumulator Network) Model for Multi-Choice Tasks , 2000 .

[129]  T. Zandt,et al.  A comparison of two response time models applied to perceptual matching , 2000, Psychonomic bulletin & review.

[130]  Trisha Van Zandt,et al.  Roc curves and confidence judgments in recognition memory , 2000 .

[131]  James L. McClelland,et al.  The Morton-Massaro law of information integration: implications for models of perception. , 2001, Psychological review.

[132]  James L. McClelland,et al.  Mechanisms of cognitive development : behavioral and neural perspectives , 2001 .

[133]  J. Townsend,et al.  Multialternative Decision Field Theory: A Dynamic Connectionist Model of Decision Making , 2001 .

[134]  James L. McClelland,et al.  Hick's law in a stochastic race model with speed-accuracy tradeoffs , 2002 .

[135]  Decision Field Theory , 2022, Cognitive Choice Modeling.