Bayesian theories of conditioning in a changing world
Abstract
The recent flowering of Bayesian approaches invites the re-examination of classic issues in behavior, even in areas as venerable as Pavlovian conditioning. A statistical account can offer a new, principled interpretation of behavior, and previous experiments and theories can inform many unexplored aspects of the Bayesian enterprise. Here we consider one such issue: the finding that surprising events provoke animals to learn faster. We suggest that, in a statistical account of conditioning, surprise signals change and therefore uncertainty and the need for new learning. We discuss inference in a world that changes and show how experimental results involving surprise can be interpreted from this perspective, and also how, thus understood, these phenomena help constrain statistical theories of animal and human learning.
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In Active Inference, generative models are latent cause models that reconstruct the hidden processes jointly responsible for context, sensory and reinforcing events.
“In terms of Active Inference, this implies that the generative models not only encode associations between stimuli or between conditioned stimuli and reward delivery; rather, they are latent cause models that reconstruct the hidden processes jointly responsible for context, sensory and reinforcing events (Courville et al., 2006).”
From Active Inference, homeostatic regulation and adaptive behavioural control (2015) · cites this paper as Courville et al., 2006
Cites
Rescorla, R. A. (1972) · Medical Entomology and Zoology · Cited by 7,268 · see citing works
Pearce, J. M., & Hall, G. (1980) · Psychological Review · doi:10.1037/0033-295x.87.6.532 · Cited by 3,023 · see citing works
A theory of attention: Variations in the associability of stimuli with reinforcement
Mackintosh, N. J. (1975) · Psychological Review · doi:10.1037/h0076778 · Cited by 2,733 · see citing works
Conditioned Reflexes: An Investigation of the Physiological Activity of the Cerebral Cortex.
Pavlov, P. I. (1930) · Archives of Neurology And Psychiatry · doi:10.1001/archneurpsyc.1930.02220110256018 · Cited by 2,681 · see citing works
Conditioned Reflexes: an Investigation of the Physiological Activity of the Cerebral Cortex
Denny-Brown, D. E. (1928) · Nature · doi:10.1038/121662a0 · Cited by 1,854 · see citing works
Uncertainty, Neuromodulation, and Attention
Yu, A. J., & Dayan, P. (2005) · Neuron · doi:10.1016/j.neuron.2005.04.026 · Cited by 1,774 · 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
Latent inhibition: The effect of nonreinforced pre-exposure to the conditional stimulus.
Lubow, R. E., & Moore, A. U. (1959) · Journal of Comparative and Physiological Psychology · doi:10.1037/h0046700 · Cited by 806 · see citing works
Lubow, R. E. (1973) · Psychological Bulletin · doi:10.1037/h0034425 · Cited by 793 · see citing works
The learning curve: implications of a quantitative analysis.
Gallistel, C., Fairhurst, S. P., & Balsam, P. (2004) · Proceedings of the National Academy of Sciences of the United States of America · doi:10.1073/pnas.0404965101 · Cited by 587 · see citing works
Learning and selective attention
Dayan, P., Kakade, S., & Montague, P. R. (2000) · Nature Neuroscience · doi:10.1038/81504 · Cited by 495 · see citing works
Le Pelley, M. E. (2004) · The Quarterly Journal of Experimental Psychology Section B · doi:10.1080/02724990344000141 · Cited by 360 · see citing works
Gallistel, C. R., Mark, T. A., King, A. P., & Latham, P. E. (2001) · Journal of Experimental Psychology Animal Behavior Processes · doi:10.1037//0097-7403.27.4.354 · Cited by 225 · see citing works
The strength of the orienting response during Pavlovian conditioning.
Kaye, H., & Pearce, J. M. (1984) · Journal of Experimental Psychology Animal Behavior Processes · doi:10.1037/0097-7403.10.1.90 · Cited by 209 · see citing works
Gallistel, C. R., Mark, T. A., King, A. P., et al. (2001) · Journal of Experimental Psychology Animal Behavior Processes · doi:10.1037/0097-7403.27.4.354 · Cited by 174 · see citing works
Latent inhibition of a CS during CS–US pairings.
Hall, G., & Pearce, J. M. (1979) · Journal of Experimental Psychology Animal Behavior Processes · doi:10.1037/0097-7403.5.1.31 · Cited by 173 · see citing works
Gewirtz, J. C., & Davis, M. E. (2000) · Learning & Memory · doi:10.1101/lm.35200 · Cited by 168 · see citing works
Partial reinforcement in autoshaping with pigeons
Gibbon, J., Farrell, L., Locurto, C., Duncan, H. J., & Terrace, H. S. (1980) · Animal Learning & Behavior · doi:10.3758/bf03209729 · Cited by 145 · see citing works
Structure Learning in Human Causal Induction
Tenenbaum, J. B., & Griffiths, T. L. (2000) · Cited by 136 · see citing works
A theory of pavlovian conditioning: The effectiveness of reinforcement and non-reinforcement
Rescorla, R. A. (1972) · Medical Entomology and Zoology · Cited by 108 · see citing works
Restoration of the orienting response to a light by a change in its predictive accuracy
Wilson, P. N., Boumphrey, P., & Pearce, J. M. (2007) · The Quarterly Journal of Experimental Psychology Section B · doi:10.1080/02724999208250600 · Cited by 103 · see citing works
Acquisition 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
Haselgrove, M., Aydin, A., & Pearce, J. M. (2004) · Journal of Experimental Psychology Animal Behavior Processes · doi:10.1037/0097-7403.30.3.240 · Cited by 85 · see citing works
Holland, P. (1997) · Animal Learning & Behavior · doi:10.3758/bf03209846 · Cited by 84 · see citing works
Overshadowing and latent inhibition counteract each other: Support for the comparator hypothesis.
Blaisdell, A. P., Bristol, A. S., Gunther, L. M., & Miller, R. R. (1998) · Journal of Experimental Psychology Animal Behavior Processes · doi:10.1037/0097-7403.24.3.335 · Cited by 83 · see citing works
Explaining Away in Weight Space
Dayan, P., & Kakade, S. M. (2000) · ScholarlyCommons (University of Pennsylvania) · Cited by 61 · see citing works
WITHIN-SUBJECT PARTIAL REINFORCEMENT EXTINCTION EFFECT IN AUTOSHAPING
Rescorla, R. A. (2010) · The Quarterly Journal of Experimental Psychology Section B · doi:10.1080/713932693 · Cited by 59 · see citing works
Restoring the Associability of a Pre-Exposed CS by a Surprising Event
Hall, G., & Pearce, J. M. (1982) · The Quarterly Journal of Experimental Psychology Section B · doi:10.1080/14640748208400881 · Cited by 59 · see citing works
Partial reinforcement in appetitive Pavlovian conditioning with rats.
Pearce, J. M., Redhead, E. S., & Aydin, A. (1997) · PubMed · doi:10.1080/713932660 · Cited by 52 · see citing works
Similarity 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-citationStatistical Models of Conditioning
Dayan, P., & Long, T. W. (1997) · Cited by 34 · see citing works
ACh, Uncertainty, and Cortical Inference
Dayan, P., & Yu, A. J. (2002) · The MIT Press eBooks · doi:10.7551/mitpress/1120.003.0029 · Cited by 26 · see citing works
Partial reinforcement reduces the associative change produced by nonreinforcement.
Rescorla, R. A. (1999) · Journal of Experimental Psychology Animal Behavior Processes · doi:10.1037//0097-7403.25.4.403 · Cited by 24 · see citing works
Partial reinforcement reduces the associative change produced by nonreinforcement.
Rescorla, R. A. (1999) · Journal of Experimental Psychology Animal Behavior Processes · doi:10.1037/0097-7403.25.4.403 · Cited by 19 · see citing works
Unblocking with Qualitative Change of Unconditioned Stimulus
Blaisdell, A. P., Denniston, J. C., & Miller, R. R. (1997) · Learning and Motivation · doi:10.1006/lmot.1996.0961 · Cited by 18 · 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-citation
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Behrens, T. E. J., Woolrich, M. W., Walton, M. E., & Rushworth, M. F. S. (2007) · Nature Neuroscience · doi:10.1038/nn1954 · Cited by 2,053 · see citing works
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Fletcher, P. C., & Frith, C. D. (2009) · Nature Reviews Neuroscience · doi:10.1038/nrn2536 · Cited by 1,462 · see citing works
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Behrens, T. E. J., Hunt, L. T., Woolrich, M. W., & Rushworth, M. F. S. (2008) · Nature · doi:10.1038/nature07538 · Cited by 925 · see citing works
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Rushworth, M. F. S., & Behrens, T. E. J. (2008) · Nature Neuroscience · doi:10.1038/nn2066 · Cited by 866 · see citing works
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Berkes, P., Orbán, G., Lengyel, M., & Fiser, J. (2011) · Science · doi:10.1126/science.1195870 · Cited by 782 · see citing works
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Pezzulo, G., Rigoli, F., & Friston, K. (2015) · Progress in Neurobiology · doi:10.1016/j.pneurobio.2015.09.001 · Cited by 650 · see citing works
Exercising your brain: A review of human brain plasticity and training-induced learning.
Green, C. S., & Bavelier, D. (2008) · Psychology and Aging · doi:10.1037/a0014345 · Cited by 660 · see citing works
Jones, M., & Love, B. C. (2011) · Behavioral and Brain Sciences · doi:10.1017/s0140525x10003134 · Cited by 533 · see citing works
Hayden, B. Y., Heilbronner, S. R., Pearson, J. M., & Platt, M. L. (2011) · The Journal of Neuroscience · doi:10.1523/jneurosci.4652-10.2011 · Cited by 379 · see citing works
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Corlett, P. R., Taylor, J. R., Wang, X.-J., Fletcher, P. C., & Krystal, J. H. (2010) · Progress in Neurobiology · doi:10.1016/j.pneurobio.2010.06.007 · Cited by 394 · see citing works
Barto, A., Mirolli, M., & Baldassarre, G. (2013) · Frontiers in Psychology · doi:10.3389/fpsyg.2013.00907 · Cited by 397 · see citing works
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Dunsmoor, J. E., Niv, Y., Daw, N., & Phelps, E. A. (2015) · Neuron · doi:10.1016/j.neuron.2015.09.028 · Cited by 329 · see citing works
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- Authors
- Courville, A. C., Daw, N. D., & Touretzky, D. S.
- Affiliations
- Université de Montréal (CA)
- Gatsby Computational Neuroscience Unit (GB)
- Center for the Neural Basis of Cognition (US)
- Corresponding author
- Courville, Aaron C.
- Venue
- Trends in Cognitive Sciences
- Publisher
- Elsevier BV
- Published
- 2006-07
- Volume
- 10
- Issue
- 7
- Pages
- 294-300
- ISSN
- 1364-6613 (ISSN-L)
- OpenAlex
- W2151196108
- Cited by
- 457
- References
- 37
- Citations by year
- 2026: 13 · 2025: 28 · 2024: 20 · 2023: 24 · 2022: 28 · 2021: 19 · 2020: 15 · 2019: 45 · 2018: 26 · 2017: 31 · 2016: 27 · 2015: 26 · 2014: 30 · 2013: 26 · 2012: 27
- FWCI
- 0.99
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Trends in Cognitive Sciences (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Life Sciences › Neuroscience › Cognitive Neuroscience › Memory and Neural Mechanisms
- Physical Sciences › Computer Science › Artificial Intelligence › Bayesian Modeling and Causal Inference
- Life Sciences › Neuroscience › Cognitive Neuroscience › Neural and Behavioral Psychology Studies
- Keywords
- Bayesian learning, classical conditioning, surprise, uncertainty, statistical learning, dynamic environments, animal learning, human learning
- MeSH terms
- Animals, Association Learning, Bayes Theorem, Behavior, Animal, Conditioning, Classical, Extinction, Psychological, Humans, Inhibition, Psychological, Problem Solving, Reinforcement Schedule, Social Change, Social Environment, Stochastic Processes, Uncertainty
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