Computational models of interval timing

In recent years great progress has been made in the computational modeling of interval timing. A wide range of models capturing different aspects of interval timing now exist. These models can be seen as constituting four, sometimes overlapping, general classes of models: pacemaker–accumulator models, multiple–oscillator models, memory–trace models, and drift–diffusion (or random-process) models. We suggest that computational models should be judged based on their performance on a number of criteria — namely, the scalar property, their ability to reproduce retrospective and prospective timing effects, and their sensitivity to attentional and neurochemical manipulations. Future challenges will involve building integrated models and sharing model code to allow direct comparisons against a battery of empirical data.

[1]  Melissa J. Allman,et al.  Pathophysiological distortions in time perception and timed performance. , 2012, Brain : a journal of neurology.

[2]  Marc W Howard,et al.  A distributed representation of internal time. , 2015, Psychological review.

[3]  W. Meck,et al.  Neuropsychological mechanisms of interval timing behavior. , 2000, BioEssays : news and reviews in molecular, cellular and developmental biology.

[4]  J. Staddon Interval timing: memory, not a clock , 2005, Trends in Cognitive Sciences.

[5]  Leon Urbas,et al.  A computational model of retrospective time estimation , 2007, Cognitive Systems Research.

[6]  Martin Garwicz,et al.  Authenticity, Depression, and Deep Brain Stimulation , 2011, Front. Integr. Neurosci..

[7]  J. Staddon,et al.  Time and memory: towards a pacemaker-free theory of interval timing. , 1999, Journal of the experimental analysis of behavior.

[8]  Werner Ehm,et al.  The dual klepsydra model of internal time representation and time reproduction. , 2006, Journal of theoretical biology.

[9]  John Gibbon,et al.  Ubiquity of scalar timing with Poisson clock , 1992 .

[10]  Warren H. Meck,et al.  Bayesian optimization of time perception , 2013, Trends in Cognitive Sciences.

[11]  Panos Trahanias,et al.  Experiencing and Processing Time with Neural Networks , 2012 .

[12]  M. Shadlen,et al.  Representation of Time by Neurons in the Posterior Parietal Cortex of the Macaque , 2003, Neuron.

[13]  Marc W Howard,et al.  Timing using temporal context , 2010, Brain Research.

[14]  Robert M. French,et al.  Computational Modeling in Cognitive Science: A Manifesto for Change , 2012, Top. Cogn. Sci..

[15]  R. Church,et al.  Alternative representations of time, number, and rate , 1990, Cognition.

[16]  Catalin V. Buhusi,et al.  Time-scale invariance as an emergent property in a perceptron with realistic, noisy neurons , 2013, Behavioural Processes.

[17]  R. Block,et al.  Prospective and retrospective duration judgments: A meta-analytic review , 1997, Psychonomic bulletin & review.

[18]  C. Buhusi,et al.  Modeling Pharmacological Clock and Memory Patterns of Interval Timing in a Striatal Beat-Frequency Model with Realistic, Noisy Neurons , 2011, Front. Integr. Neurosci..

[19]  Joachim Haß,et al.  A neurocomputational model for optimal temporal processing , 2008, Journal of Computational Neuroscience.

[20]  C. Gallistel,et al.  Toward a neurobiology of temporal cognition: advances and challenges , 1997, Current Opinion in Neurobiology.

[21]  Joachim Haß,et al.  The Neural Representation of Time: An Information-Theoretic Perspective , 2012, Neural Computation.

[22]  M M Merzenich,et al.  Temporal information transformed into a spatial code by a neural network with realistic properties , 1995, Science.

[23]  Bapi Raju Surampudi,et al.  Computational models of time perception , 2014, 2014 First International Conference on Networks & Soft Computing (ICNSC2014).

[24]  M. Jahanshahi,et al.  Contributions of the Basal Ganglia to Temporal Processing: Evidence from Parkinson’s Disease , 2014 .

[25]  C. Lustig,et al.  Not “just” a coincidence: Frontal‐striatal interactions in working memory and interval timing , 2005, Memory.

[26]  Panos E. Trahanias,et al.  Artificial agents perceiving and processing time , 2015, 2015 International Joint Conference on Neural Networks (IJCNN).

[27]  P R Killeen,et al.  How the propagation of error through stochastic counters affects time discrimination and other psychophysical judgments. , 2000, Psychological review.

[28]  Jonathan D. Cohen,et al.  A Model of Interval Timing by Neural Integration , 2011, The Journal of Neuroscience.

[29]  W. Meck,et al.  Cortico-striatal circuits and interval timing: coincidence detection of oscillatory processes. , 2004, Brain research. Cognitive brain research.

[30]  Denis Mareschal,et al.  GAMIT-Net: Retrospective and prospective interval timing in a single neural network , 2014, CogSci.

[31]  W. Poynter,et al.  Duration judgment and the segmentation of experience , 1983, Memory & cognition.

[32]  M. Treisman Temporal discrimination and the indifference interval. Implications for a model of the "internal clock". , 1963, Psychological monographs.

[33]  Raju S. Bapi,et al.  Stochastic Leaky Integrator Model for Interval Timing , 2014, MIWAI.

[34]  J. Wearden,et al.  Scalar Properties in Animal Timing: Conformity and Violations , 2006, Quarterly journal of experimental psychology.

[35]  Warren H. Meck,et al.  Differential effects of amphetamine and haloperidol on temporal reproduction: Dopaminergic regulation of attention and clock speed , 2013, Neuropsychologia.

[36]  J J Higa,et al.  Multiple time scales in simple habituation. , 1996, Psychological review.

[37]  Rickey E Carter,et al.  Interval timing accuracy and scalar timing in C57BL/6 mice. , 2009, Behavioral neuroscience.

[38]  Leon Urbas,et al.  A Model of Time-Estimation Considering Working Memory Demands , 2008 .

[39]  W. Meck,et al.  Differential effects of cocaine and ketamine on time estimation: Implications for neurobiological models of interval timing , 2006, Pharmacology Biochemistry and Behavior.

[40]  W. Meck Neuropharmacology of timing and time perception. , 1996, Brain research. Cognitive brain research.

[41]  R. Block,et al.  Prospective and retrospective duration judgments: an executive-control perspective. , 2004, Acta neurobiologiae experimentalis.

[42]  Melissa J. Allman,et al.  Properties of the internal clock: first- and second-order principles of subjective time. , 2014, Annual review of psychology.

[43]  Christopher Miall,et al.  The Storage of Time Intervals Using Oscillating Neurons , 1989, Neural Computation.

[44]  P. Hancock,et al.  How cognitive load affects duration judgments: A meta-analytic review. , 2010, Acta psychologica.

[45]  Patrick Simen,et al.  Scale (in)variance in a unified diffusion model of decision making and timing. , 2016, Psychological review.

[46]  J. Gibbon Scalar expectancy theory and Weber's law in animal timing. , 1977 .

[47]  Rita Almeida,et al.  A biologically plausible model of time-scale invariant interval timing , 2009, Journal of Computational Neuroscience.

[48]  M. Grube,et al.  A Unified Model of Time Perception Accounts for Duration-Based and Beat-Based Timing Mechanisms , 2011, Front. Integr. Neurosci..

[49]  W. Senn,et al.  Climbing Neuronal Activity as an Event-Based Cortical Representation of Time , 2004, The Journal of Neuroscience.

[50]  John R. Anderson,et al.  Time Perception: Beyond Simple Interval Estimation , 2004, ICCM.

[51]  Catalin V Buhusi,et al.  Interval timing with gaps and distracters: evaluation of the ambiguity, switch, and time-sharing hypotheses. , 2006, Journal of experimental psychology. Animal behavior processes.

[52]  Robert Rousseau,et al.  Interference from short-term memory processing on encoding and reproducing brief durations , 1998, Psychological research.

[53]  T. Ono,et al.  Retrospective and prospective coding for predicted reward in the sensory thalamus , 2001, Nature.

[54]  Daniel Durstewitz,et al.  Neurocomputational models of time perception. , 2014, Advances in experimental medicine and biology.

[55]  Dean V Buonomano,et al.  A learning rule for the emergence of stable dynamics and timing in recurrent networks. , 2005, Journal of neurophysiology.

[56]  M. D’Esposito,et al.  Inverted-U–Shaped Dopamine Actions on Human Working Memory and Cognitive Control , 2011, Biological Psychiatry.

[57]  Robert M. French,et al.  GAMIT – A Fading-Gaussian Activation Model of Interval-Timing: Unifying Prospective and Retrospective Time Estimation , 2014 .

[58]  Catalin V Buhusi,et al.  Interval timing as an emergent learning property. , 2003, Psychological review.

[59]  S. Grondin Timing and time perception: A review of recent behavioral and neuroscience findings and theoretical directions , 2010, Attention, perception & psychophysics.

[60]  S. Wise,et al.  Neuronal activity related to elapsed time in prefrontal cortex. , 2006, Journal of neurophysiology.

[61]  W. Meck,et al.  Neuroanatomical and Neurochemical Substrates of Timing , 2011, Neuropsychopharmacology.

[62]  S. Fairhurst,et al.  Scalar timing in animals and humans , 2002 .

[63]  Hedderik van Rijn,et al.  Tonic and phasic dopamine fluctuations as reflected in beta-power predict interval timing behavior , 2014 .

[64]  U. Karmarkar,et al.  Timing in the Absence of Clocks: Encoding Time in Neural Network States , 2007, Neuron.

[65]  Catalin V. Buhusi,et al.  What makes us tick? Functional and neural mechanisms of interval timing , 2005, Nature Reviews Neuroscience.

[66]  John Anderson,et al.  An integrated theory of prospective time interval estimation: the role of cognition, attention, and learning. , 2007, Psychological review.

[67]  Maciej Komosinski,et al.  Time-order error and scalar variance in a computational model of human timing: simulations and predictions , 2015 .