Representation and timing in theories of the dopamine system
Abstract
Although the responses of dopamine neurons in the primate midbrain are well characterized as carrying a temporal difference (TD) error signal for reward prediction, existing theories do not offer a credible account of how the brain keeps track of past sensory events that may be relevant to predicting future reward. Empirically, these shortcomings of previous theories are particularly evident in their account of experiments in which animals were exposed to variation in the timing of events. The original theories mispredicted the results of such experiments due to their use of a representational device called a tapped delay line. Here we propose that a richer understanding of history representation and a better account of these experiments can be given by considering TD algorithms for a formal setting that incorporates two features not originally considered in theories of the dopaminergic response: partial observability (a distinction between the animal's sensory experience and the true underlying state of the world) and semi-Markov dynamics (an explicit account of variation in the intervals between events). The new theory situates the dopaminergic system in a richer functional and anatomical context, since it assumes (in accord with recent computational theories of cortex) that problems of partial observability and stimulus history are solved in sensory cortex using statistical modeling and inference and that the TD system predicts reward using the results of this inference rather than raw sensory data. It also accounts for a range of experimental data, including the experiments involving programmed temporal variability and other previously unmodeled dopaminergic response phenomena, which we suggest are related to subjective noise in animals' interval timing. Finally, it offers new experimental predictions and a rich theoretical framework for designing future experiments.
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Previous experimental work has shown that the phasic activity of midbrain dopamine neurons resembles the RPEs of TD learning in partially observable environments, where TD learning is performed on belief states rather than observations.
“Previous experimental work has shown that the phasic activity of midbrain dopamine neurons resembles the RPEs of TD learning in partially observable environments, where TD learning is performed on belief states rather than observations [6][7][8][9][10][11].”
From Emergence of belief-like representations through reinforcement learning (2023) · cites this paper as [6]
The tasks analyzed are technically discrete-time semi-Markov processes, and can be formulated equivalently as Markov processes with micro-states defined over each relevant discrete time step.
“The tasks we analyze here are technically discretetime semi-Markov processes, and so we follow previous work in formulating them equivalently as Markov processes with micro-states defined over each relevant discrete time step [6,7].”
From Emergence of belief-like representations through reinforcement learning (2023) · cites this paper as [6]
Previous work has suggested that prefrontal cortex may perform state estimation in tasks with hidden states.
“For instance, previous work has suggested that prefrontal cortex may perform state estimation in tasks with hidden states [6,7,12,13].”
From Emergence of belief-like representations through reinforcement learning (2023) · cites this paper as [6]
Cites
Maximum Likelihood from Incomplete Data Via the <i>EM</i> Algorithm
Dempster, A. P., Laird, N. M., & Rubin, D. B. (1977) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1977.tb01600.x · Cited by 50,444 · see citing works
Reinforcement Learning: An Introduction
Sutton, R. S., & Barto, A. (2005) · IEEE Transactions on Neural Networks · doi:10.1109/tnn.2004.842673 · Cited by 25,263 · see citing works
A neural substrate of prediction and reward
Schultz, W., Dayan, P., & Montague, P. R. (1997) · Science · doi:10.1126/science.275.5306.1593 · Cited by 9,388 · see citing works
Introduction to Reinforcement Learning
Sutton, R. S., & Barto, A. G. (1998) · The MIT Press eBooks · Cited by 6,855 · see citing works
Learning to predict by the methods of temporal differences
Sutton, R. S. (1988) · Machine Learning · doi:10.1007/bf00115009 · Cited by 5,148 · see citing works
Predictive reward signal of dopamine neurons
Schultz, W. (1998) · Journal of Neurophysiology · doi:10.1152/jn.1998.80.1.1 · Cited by 4,564 · see citing works
Baum, L. E., Petrie, T., Soules, G., & Weiss, N. (1970) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177697196 · Cited by 4,299 · see citing works
Planning and acting in partially observable stochastic domains
Kaelbling, L. P., Littman, M. L., & Cassandra, A. R. (1998) · Artificial Intelligence · doi:10.1016/s0004-3702(98)00023-x · Cited by 4,149 · see citing works
Journal of the Royal Statistical Society (B)
Fildes, R. A. (1993) · International Journal of Forecasting · doi:10.1016/0169-2070(93)90088-5 · Cited by 3,462 · see citing works
Daw, N. D., Niv, Y., & Dayan, P. (2005) · Nature Neuroscience · doi:10.1038/nn1560 · Cited by 2,533 · see citing works
Self-citationScalar expectancy theory and Weber's law in animal timing.
Gibbon, J. (1977) · Psychological Review · doi:10.1037/0033-295x.84.3.279 · Cited by 2,224 · see citing works
Society for Neuroscience 2007 abstracts
Wishart, T. M., Paterson, J. M., Short, D. M., Meredith, S., Robertson, K., Sutherland, C. D., Cousin, M. A., Dutia, M. B., & Gillingwater, T. H. (2007) · Cited by 2,094 · see citing works
Dissociable Roles of Ventral and Dorsal Striatum in Instrumental Conditioning
O'Doherty, J., Dayan, P., Schultz, J., Deichmann, R., Friston, K., & Dolan, R. J. (2004) · Science · doi:10.1126/science.1094285 · Cited by 2,088 · see citing works
Discrete coding of reward probability and uncertainty by dopamine neurons
Fiorillo, C. D., Tobler, P. N., & Schultz, W. (2003) · Science · doi:10.1126/science.1077349 · Cited by 2,085 · see citing works
A framework for mesencephalic dopamine systems based on predictive Hebbian learning
Montague, P., Dayan, P., & Sejnowski, T. (1996) · The Journal of Neuroscience · doi:10.1523/jneurosci.16-05-01936.1996 · Cited by 2,066 · see citing works
Sutton, R. S. (1990) · Elsevier eBooks · doi:10.1016/b978-1-55860-141-3.50030-4 · Cited by 1,348 · see citing works
Midbrain dopamine neurons encode a quantitative reward prediction error signal
Bayer, H. M., & Glimcher, P. W. (2005) · Neuron · doi:10.1016/j.neuron.2005.05.020 · Cited by 1,304 · see citing works
Schultz, W., Apicella, P., & Ljungberg, T. (1993) · The Journal of Neuroscience · doi:10.1523/jneurosci.13-03-00900.1993 · Cited by 1,291 · see citing works
Models of Information Processing in the Basal Ganglia
(1994) · doi:10.7551/mitpress/4708.001.0001 · Cited by 1,190 · see citing works
Putting a spin on the dorsal-ventral divide of the striatum
Voorn, P., Vanderschuren, L. J. M. J., Groenewegen, H. J., Robbins, T. W., & Pennartz, C. M. A. (2004) · Trends in Neurosciences · doi:10.1016/j.tins.2004.06.006 · Cited by 1,188 · see citing works
Gallistel, C. R., & Gibbon, J. (2000) · Psychological Review · doi:10.1037/0033-295x.107.2.289 · Cited by 1,122 · see citing works
Dopamine neurons report an error in the temporal prediction of reward during learning
Hollerman, J. R., & Schultz, W. (1998) · Nature Neuroscience · doi:10.1038/1124 · Cited by 1,103 · see citing works
Dopamine responses comply with basic assumptions of formal learning theory
Waelti, P., Dickinson, A., & Schultz, W. (2001) · Nature · doi:10.1038/35083500 · Cited by 1,018 · see citing works
Responses of monkey dopamine neurons during learning of behavioral reactions
Ljungberg, T., Apicella, P., & Schultz, W. (1992) · Journal of Neurophysiology · doi:10.1152/jn.1992.67.1.145 · Cited by 987 · see citing works
Complementary roles of basal ganglia and cerebellum in learning and motor control
Doya, K. (2000) · Current Opinion in Neurobiology · doi:10.1016/s0959-4388(00)00153-7 · Cited by 964 · see citing works
Reward, Motivation, and Reinforcement Learning
Dayan, P., & Balleine, B. W. (2002) · Neuron · doi:10.1016/s0896-6273(02)00963-7 · Cited by 855 · see citing works
Opponent interactions between serotonin and dopamine
Daw, N. D., Kakade, S., & Dayan, P. (2002) · Neural Networks · doi:10.1016/s0893-6080(02)00052-7 · Cited by 844 · see citing works
Self-citationPreferential activation of midbrain dopamine neurons by appetitive rather than aversive stimuli
Mirenowicz, J., & Schultz, W. (1996) · Nature · doi:10.1038/379449a0 · Cited by 829 · see citing works
Prioritized Sweeping: Reinforcement Learning with Less Data and Less Time
Moore, A., & Atkeson, C. G. (1993) · Machine Learning · doi:10.1023/a:1022635613229 · Cited by 823 · see citing works
Uniform Inhibition of Dopamine Neurons in the Ventral Tegmental Area by Aversive Stimuli
Ungless, M. A., Magill, P. J., & Bolam, J. P. (2004) · Science · doi:10.1126/science.1093360 · Cited by 782 · see citing works
Temporal credit assignment in reinforcement learning
Sutton, R. S. (1984) · ScholarWorks@UMassAmherst (University of Massachusetts Amherst) · Cited by 769 · see citing works
What are the computations of the cerebellum, the basal ganglia and the cerebral cortex?
Doya, K. (1999) · Neural Networks · doi:10.1016/s0893-6080(99)00046-5 · Cited by 739 · see citing works
A behavioral theory of timing.
Killeen, P. R., & Fetterman, J. G. (1988) · Psychological Review · doi:10.1037/0033-295x.95.2.274 · Cited by 719 · see citing works
Efficient coding of natural sounds
Lewicki, M. S. (2002) · Nature Neuroscience · doi:10.1038/nn831 · Cited by 667 · see citing works
STEVENS' HANDBOOK OF EXPERIMENTAL PSYCHOLOGY
Pashler, H. (2002) · Wiley eBooks · doi:10.1002/0471214426 · Cited by 576 · see citing works
Coincident but Distinct Messages of Midbrain Dopamine and Striatal Tonically Active Neurons
Morris, G., Arkadir, D., Nevet, A., Vaadia, E., & Bergman, H. (2004) · Neuron · doi:10.1016/j.neuron.2004.06.012 · Cited by 574 · see citing works
A Model of How the Basal Ganglia Generate and Use Neural Signals That Predict Reinforcement
Houk, J. C., Adams, J. L., & Barto, A. G. (1994) · The MIT Press eBooks · doi:10.7551/mitpress/4708.003.0020 · Cited by 554 · see citing works
Gold, J. I., & Shadlen, M. N. (2002) · Neuron · doi:10.1016/s0896-6273(02)00971-6 · Cited by 547 · see citing works
Actor–critic models of the basal ganglia: new anatomical and computational perspectives
Joel, D., Niv, Y., & Ruppin, E. (2002) · Neural Networks · doi:10.1016/s0893-6080(02)00047-3 · Cited by 500 · see citing works
Time-Derivative Models of Pavlovian Reinforcement
Sutton, R. S., & Barto, A. G. (1990) · Cited by 496 · see citing works
Continuously variable duration hidden Markov models for automatic speech recognition
Levinson, S. E. (1986) · Computer Speech & Language · doi:10.1016/s0885-2308(86)80009-2 · Cited by 457 · see citing works
Pan, W.-X., Schmidt, R., Wickens, J. R., & Hyland, B. I. (2005) · The Journal of Neuroscience · doi:10.1523/jneurosci.1478-05.2005 · Cited by 429 · see citing works
A computational substrate for incentive salience
McClure, S. M., Daw, N. D., & Montague, P. R. (2003) · Trends in Neurosciences · doi:10.1016/s0166-2236(03)00177-2 · Cited by 416 · see citing works
Self-citationLesion to the nigrostriatal dopamine system disrupts stimulus-response habit formation
Faure, A., Haberland, U., Condé, F., & Massioui, N. E. (2005) · The Journal of Neuroscience · doi:10.1523/jneurosci.3894-04.2005 · Cited by 402 · see citing works
Probabilistic Models of the Brain : Perception and Neural Function
Rao, R. P. N., Olshausen, B. A., & Lewicki, M. S. (2002) · Cited by 385 · see citing works
Staddon, J. E. R., & Cerutti, D. T. (2002) · Annual Review of Psychology · doi:10.1146/annurev.psych.54.101601.145124 · Cited by 384 · see citing works
TIME AND MEMORY: TOWARDS A PACEMAKER‐FREE THEORY OF INTERVAL TIMING
Staddon, J. E. R., & Higa, J. J. (1999) · Journal of the Experimental Analysis of Behavior · doi:10.1901/jeab.1999.71-215 · Cited by 375 · see citing works
Learning the temporal dynamics of behavior.
Machado, A. D. (1997) · Psychological Review · doi:10.1037/0033-295x.104.2.241 · Cited by 373 · see citing works
Schultz, W., & Romo, R. (1990) · Journal of Neurophysiology · doi:10.1152/jn.1990.63.3.607 · Cited by 334 · see citing works
Reinforcement learning with perceptual aliasing: the perceptual distinctions approach
Chrisman, L. (1992) · Cited by 316 · see citing works
Dissociation of Pavlovian and instrumental incentive learning under dopamine antagonists.
Dickinson, A., Smith, J. W., & Mirenowicz, J. (2000) · Behavioral Neuroscience · doi:10.1037//0735-7044.114.3.468 · Cited by 312 · see citing works
Probabilistic framework for the adaptation and comparison of image codes
Lewicki, M. S., & Olshausen, B. A. (1999) · Journal of the Optical Society of America A · doi:10.1364/josaa.16.001587 · Cited by 307 · see citing works
Coding of Predicted Reward Omission by Dopamine Neurons in a Conditioned Inhibition Paradigm
Tobler, P. N., Dickinson, A., & Schultz, W. (2003) · The Journal of Neuroscience · doi:10.1523/jneurosci.23-32-10402.2003 · Cited by 300 · see citing works
Brown, J. W., Bullock, D. H., & Grossberg, S. (1999) · Journal of Neuroscience · doi:10.1523/jneurosci.19-23-10502.1999 · Cited by 299 · see citing works
Correlated Coding of Motivation and Outcome of Decision by Dopamine Neurons
Satoh, T., Nakai, S., Sato, T., & Kimura, M. (2003) · The Journal of Neuroscience · doi:10.1523/jneurosci.23-30-09913.2003 · Cited by 298 · see citing works
Suri, R. E., & Schultz, W. (1999) · Neuroscience · doi:10.1016/s0306-4522(98)00697-6 · Cited by 294 · see citing works
Parkinson, J. A., Dalley, J. W., Cardinal, R. N., Bamford, A., Fehnert, B., Lachenal, G., Rudarakanchana, N., Halkerston, K. M., Robbins, T. W., & Everitt, B. J. (2002) · Behavioural Brain Research · doi:10.1016/s0166-4328(02)00291-7 · Cited by 288 · see citing works
Reinforcement Learning Methods for Continuous-Time Markov Decision Problems
Bradtke, S. J., & Duff, M. O. (1994) · Cited by 257 · see citing works
Owen, A. M. (1997) · Progress in Neurobiology · doi:10.1016/s0301-0082(97)00042-7 · Cited by 251 · see citing works
Dissociation of Pavlovian and instrumental incentive learning under dopamine antagonists.
Dickinson, A., Smith, J. W., & Mirenowicz, J. (2000) · Behavioral Neuroscience · doi:10.1037/0735-7044.114.3.468 · Cited by 249 · see citing works
Occasion setting: Associative learning and cognition in animals.
(1998) · American Psychological Association eBooks · doi:10.1037/10298-000 · Cited by 245 · see citing works
Solving Semi-Markov Decision Problems Using Average Reward Reinforcement Learning
Das, T. K., Gosavi, A. A., Mahadevan, S., & Marchalleck, N. (1999) · Management Science · doi:10.1287/mnsc.45.4.560 · Cited by 221 · see citing works
Learning of sequential movements by neural network model with dopamine-like reinforcement signal
Suri, R. E., & Schultz, W. (1998) · Experimental Brain Research · doi:10.1007/s002210050467 · Cited by 198 · see citing works
Society for Neuroscience Abstracts
Tonge, D., Ekström, P. A. R., Mayer, U., & Pizzey, J. A. (2001) · Cited by 195 · see citing works
Surprise and the attenuation of blocking.
Dickinson, A., Hall, G., & Mackintosh, N. J. (1976) · Journal of Experimental Psychology Animal Behavior Processes · doi:10.1037/0097-7403.2.4.313 · Cited by 176 · see citing works
Dopamine, uncertainty and TD learning
Niv, Y., Duff, M. O., & Dayan, P. (2005) · Behavioral and Brain Functions · doi:10.1186/1744-9081-1-6 · Cited by 153 · see citing works
REINFORCEMENT OMISSION ON FIXED‐INTERVAL SCHEDULES1
Staddon, J. E. R., & Innis, N. K. (1969) · Journal of the Experimental Analysis of Behavior · doi:10.1901/jeab.1969.12-689 · Cited by 109 · see citing works
How fast to work: Response vigor, motivation and tonic dopamine
Niv, Y., Daw, N. D., & Dayan, P. (2005) · MPG.PuRe (Max Planck Society) · Cited by 102 · see citing works
Self-citationAcquisition and extinction in autoshaping.
Kakade, S. M., & Dayan, P. (2002) · Psychological Review · doi:10.1037/0033-295x.109.3.533 · Cited by 102 · see citing works
Sources of Variability and Systematic Error in Mouse Timing Behavior.
Gallistel, C. R., King, A. P., & McDonald, R. (2004) · Journal of Experimental Psychology Animal Behavior Processes · doi:10.1037/0097-7403.30.1.3 · Cited by 97 · see citing works
Yin, H., Barnet, R. C., & Miller, R. R. (1994) · Journal of Experimental Psychology Animal Behavior Processes · doi:10.1037/0097-7403.20.4.419 · Cited by 81 · see citing works
Hierarchical Bayesian Inference in Networks of Spiking Neurons
Rao, R. P. N. (2004) · Cited by 72 · see citing works
Long-Term Reward Prediction in TD Models of the Dopamine System
Daw, N. D., & Touretzky, D. S. (2002) · Neural Computation · doi:10.1162/089976602760407973 · Cited by 71 · see citing works
Self-citationSelf-Improving Factory Simulation using Continuous-time Average-Reward Reinforcement Learning
Mahadevan, S., Das, T. K., & Gosavi, A. (2007) · Cited by 66 · see citing works
Reinforcement learning models of the dopamine system and their behavioral implications
Daw, N. D., & Touretzky, D. S. (2003) · Cited by 62 · see citing works
Self-citationReinforcer specificity in the enhancement of conditioning by posttrial surprise.
Dickinson, A., & Mackintosh, N. J. (1979) · Journal of Experimental Psychology Animal Behavior Processes · doi:10.1037//0097-7403.5.2.162 · Cited by 61 · see citing works
Excitation and inhibition in unblocking.
Holland, P. C. (1988) · PubMed · Cited by 59 · see citing works
Bouton, M. E., & Nelson, J. B. (2004) · American Psychological Association eBooks · doi:10.1037/10298-003 · Cited by 59 · see citing works
Context Learning in the Rodent Hippocampus
Fuhs, M. C., & Touretzky, D. S. (2007) · Neural Computation · doi:10.1162/neco.2007.19.12.3173 · Cited by 57 · see citing works
Self-citationSimilarity and Discrimination in Classical Conditioning: A Latent Variable Account
Courville, A. C., Daw, N. D., & Touretzky, D. S. (2004) · Cited by 52 · see citing works
Self-citationModel Uncertainty in Classical Conditioning
Courville, A. C., Gordon, G. J., Touretzky, D. S., & Daw, N. D. (2003) · Cited by 51 · see citing works
Self-citationReinforcement-induced within-trial resetting of an internal clock
Matell, M. S., & Meck, W. H. (1999) · Behavioural Processes · doi:10.1016/s0376-6357(99)00016-9 · Cited by 51 · see citing works
Motivated Reinforcement Learning
Dayan, P. (2002) · The MIT Press eBooks · doi:10.7551/mitpress/1120.003.0006 · Cited by 50 · see citing works
Bayesian Inference with Spiking Neurons
Denève, S. (2015) · Encyclopedia of Computational Neuroscience · doi:10.1007/978-1-4614-6675-8_568 · Cited by 50 · see citing works
Reinforcer specificity in the enhancement of conditioning by posttrial surprise.
Dickinson, A., & Mackintosh, N. J. (1979) · Journal of Experimental Psychology Animal Behavior Processes · doi:10.1037/0097-7403.5.2.162 · Cited by 48 · see citing works
On Average Versus Discounted Reward Temporal-Difference Learning
Tsitsiklis, J. N., & Roy, B. V. (2002) · Machine Learning · doi:10.1023/a:1017980312899 · Cited by 46 · see citing works
Excitation and inhibition in unblocking.
Holland, P. C. (1988) · Journal of Experimental Psychology Animal Behavior Processes · doi:10.1037/0097-7403.14.3.261 · Cited by 43 · see citing works
Smith, A. J., Becker, S., & Kapur, S. (2005) · Neural Computation · doi:10.1162/0899766053011546 · Cited by 37 · see citing works
Variations in Unconditioned Stimulus Processing in Unblocking.
Holland, P. C., & Kenmuir, C. L. (2005) · Journal of Experimental Psychology Animal Behavior Processes · doi:10.1037/0097-7403.31.2.155 · Cited by 35 · see citing works
Anticipatory responses of dopamine neurons and cortical neurons reproduced by internal model
Suri, R. E. (2001) · Experimental Brain Research · doi:10.1007/s002210100814 · Cited by 32 · see citing works
Explicit state occupancy modelling by hidden semi-Markov models: application of Derin's scheme
Guédon, Y., & Cocozza-Thivent, C. (1990) · Computer Speech & Language · doi:10.1016/0885-2308(90)90003-o · Cited by 29 · see citing works
Multiple model-based reinforcement learning explains dopamine neuronal activity
Bertin, M., Schweighofer, N., & Doya, K. (2007) · Neural Networks · doi:10.1016/j.neunet.2007.04.028 · Cited by 20 · see citing works
Timing processes in the reinforcement-omission effect
Mellon, R. C., Leak, T. M., Fairhurst, S., et al. (1995) · Animal Learning & Behavior · doi:10.3758/bf03198925 · Cited by 19 · see citing works
Kalman Filter Control Embedded into the Reinforcement Learning Framework
Szita, I., & Lörincz, A. (2004) · Neural Computation · doi:10.1162/089976604772744884 · Cited by 16 · see citing works
Kakade, S. M., & Dayan, P. (1999) · ScholarlyCommons (University of Pennsylvania) · Cited by 11 · see citing works
Modeling Temporal Structure in Classical Conditioning
Courville, A. C., & Touretzky, D. S. (2002) · The MIT Press eBooks · doi:10.7551/mitpress/1120.003.0005 · Cited by 8 · see citing works
Self-citationModeling dopamine activity by Reinforcement Learning methods: implications from two recent models
Horgan, P., & Cummins, F. (2006) · Artificial Intelligence Review · doi:10.1007/s10462-007-9036-3 · Cited by 2 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Model-based influences on humans’ choices and striatal prediction errors
Daw, N. D., Gershman, S. J., Seymour, B., Dayan, P., & Dolan, R. J. (2011) · Neuron · doi:10.1016/j.neuron.2011.02.027 · Cited by 1,779 · see citing works
Self-citationNeuronal Reward and Decision Signals: From Theories to Data
Schultz, W. (2015) · Physiological Reviews · doi:10.1152/physrev.00023.2014 · Cited by 1,126 · see citing works
Decision theory, reinforcement learning, and the brain
Dayan, P., & Daw, N. D. (2008) · Cognitive, Affective, & Behavioral Neuroscience · doi:10.3758/cabn.8.4.429 · Cited by 580 · see citing works
Self-citationReinforcement learning and episodic memory in humans and animals: an integrative framework
Gershman, S. J., & Daw, N. D. (2017) · Annual Review of Psychology · doi:10.1146/annurev-psych-122414-033625 · Cited by 446 · see citing works
Self-citationContext, learning, and extinction
Gershman, S. J., Blei, D. M., & Niv, Y. (2010) · Psychological Review · doi:10.1037/a0017808 · Cited by 386 · see citing works
Schönberg, T., Daw, N. D., Joel, D., & O'Doherty, J. P. (2007) · The Journal of Neuroscience · doi:10.1523/jneurosci.2496-07.2007 · Cited by 390 · see citing works
Self-citationRedish, A. D., Jensen, S., Johnson, A., & Kurth-Nelson, Z. (2007) · Psychological Review · doi:10.1037/0033-295x.114.3.784 · Cited by 346 · see citing works
Learning latent structure: carving nature at its joints
Gershman, S. J., & Niv, Y. (2010) · Current Opinion in Neurobiology · doi:10.1016/j.conb.2010.02.008 · Cited by 326 · see citing works
The temporal precision of reward prediction in dopamine neurons
Fiorillo, C. D., Newsome, W. T., & Schultz, W. (2008) · Nature Neuroscience · doi:10.1038/nn.2159 · Cited by 310 · see citing works
Gershman, S. J., & Uchida, N. (2019) · Nature Reviews Neuroscience · doi:10.1038/s41583-019-0220-7 · Cited by 236 · see citing works
Dopamine reward prediction errors reflect hidden-state inference across time
Starkweather, C. K., Babayan, B. M., Uchida, N., & Gershman, S. J. (2017) · Nature Neuroscience · doi:10.1038/nn.4520 · Cited by 206 · see citing works
Distributed and Mixed Information in Monosynaptic Inputs to Dopamine Neurons
Tian, J., Huang, R., Cohen, J. Y., Osakada, F., Kobak, D., Machens, C. K., Callaway, E. M., Uchida, N., & Watabe-Uchida, M. (2016) · Neuron · doi:10.1016/j.neuron.2016.08.018 · Cited by 224 · see citing works
Planning and navigation as active inference
Kaplan, R., & Friston, K. J. (2018) · Biological Cybernetics · doi:10.1007/s00422-018-0753-2 · Cited by 203 · see citing works
Midbrain dopamine neurons signal belief in choice accuracy during a perceptual decision
Lak, A., Nomoto, K., Keramati, M., Sakagami, M., & Kepecs, A. (2017) · Current Biology · doi:10.1016/j.cub.2017.02.026 · Cited by 170 · see citing works
The successor representation: Its computational logic and neural substrates
Gershman, S. J. (2018) · The Journal of Neuroscience · doi:10.1523/jneurosci.0151-18.2018 · Cited by 191 · see citing works
Stimulus representation and the timing of reward-prediction errors in models of the dopamine system
Ludvig, E. A., Sutton, R. S., & Kehoe, E. J. (2008) · Neural Computation · doi:10.1162/neco.2008.11-07-654 · Cited by 148 · see citing works
Model-based predictions for dopamine
Langdon, A. J., Sharpe, M. J., Schoenbaum, G., & Niv, Y. (2018) · Current Opinion in Neurobiology · doi:10.1016/j.conb.2017.10.006 · Cited by 161 · see citing works
The medial prefrontal cortex shapes dopamine reward prediction errors under state uncertainty
Starkweather, C. K., Gershman, S. J., & Uchida, N. (2018) · Neuron · doi:10.1016/j.neuron.2018.03.036 · Cited by 136 · see citing works
Gershman, S. J., Pesaran, B., & Daw, N. D. (2009) · The Journal of Neuroscience · doi:10.1523/jneurosci.2469-09.2009 · Cited by 118 · see citing works
Self-citationBelief state representation in the dopamine system
Babayan, B. M., Uchida, N., & Gershman, S. J. (2018) · Nature Communications · doi:10.1038/s41467-018-04397-0 · Cited by 101 · see citing works
Time representation in reinforcement learning models of the basal ganglia
Gershman, S. J., Moustafa, A. A., & Ludvig, E. A. (2014) · Frontiers in Computational Neuroscience · doi:10.3389/fncom.2013.00194 · Cited by 81 · see citing works
Dissociable reward and timing signals in human midbrain and ventral striatum
Klein-Flügge, M. C., Hunt, L. T., Bach, D. R., Dolan, R. J., & Behrens, T. E. J. (2011) · Neuron · doi:10.1016/j.neuron.2011.08.024 · Cited by 75 · see citing works
Emergence of belief-like representations through reinforcement learning
Hennig, J. A., Romero Pinto, S. A., Yamaguchi, T., Linderman, S. W., Uchida, N., & Gershman, S. J. (2023) · PLOS Computational Biology · doi:10.1371/journal.pcbi.1011067 · Cited by 41 · see citing works
Dopamine, inference, and uncertainty
Gershman, S. J. (2017) · Neural Computation · doi:10.1162/neco_a_01023 · Cited by 40 · see citing works
Addressing altered anticipation as a transdiagnostic target through computational psychiatry
Sepúlveda, P., Aitsahalia, I., Kumar, K., Atkin, T., & Iigaya, K. (2025) · Biological Psychiatry Cognitive Neuroscience and Neuroimaging · doi:10.1016/j.bpsc.2025.02.014 · Cited by 3 · see citing works
- Authors
- Daw, N. D., Courville, A. C., & Touretzky, D. S.
- Affiliations
- Gatsby Computational Neuroscience Unit (GB)
- Center for the Neural Basis of Cognition (US)
- Venue
- Neural Computation
- Publisher
- MIT Press
- Published
- 2006-07
- Volume
- 18
- Issue
- 7
- Pages
- 1637-1677
- ISSN
- 0899-7667 (ISSN-L)
- 1530-888X
- OpenAlex
- W2092861175
- Cited by
- 173
- References
- 98
- Citations by year
- 2026: 3 · 2025: 7 · 2024: 6 · 2023: 5 · 2022: 10 · 2021: 10 · 2020: 9 · 2019: 12 · 2018: 11 · 2017: 12 · 2016: 11 · 2015: 8 · 2014: 8 · 2013: 7 · 2012: 9
- FWCI
- 3.40
- Type
- journal article
- Language
- en
- Update notices
- correction (2006-10-01)
- Open access
- closed
- Locations
- Neural Computation (publishedVersion)
- PubMed (publishedVersion)
- UCL Discovery (University College London) (submittedVersion)
- Topics
- Life Sciences › Neuroscience › Cellular and Molecular Neuroscience › Neurotransmitter Receptor Influence on Behavior
- Life Sciences › Neuroscience › Cognitive Neuroscience › Neural and Behavioral Psychology Studies
- Life Sciences › Neuroscience › Cognitive Neuroscience › Neural dynamics and brain function
- Keywords
- dopaminergic neurons, temporal difference learning, reward prediction, partial observability, interval timing, temporal variation, stimulus history
- MeSH terms
- Algorithms, Animals, Dopamine, Humans, Models, Neurological, Nerve Net, Neurons, Reaction Time, Reward, Time Factors, Models, Statistical, Neural Networks, Computer
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