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An information-theoretic approach to curiosity-driven reinforcement learning
Abstract
We provide a fresh look at the problem of exploration in reinforcement learning, drawing on ideas from information theory. First, we show that Boltzmann-style exploration, one of the main exploration methods used in reinforcement learning, is optimal from an information-theoretic point of view, in that it optimally trades expected return for the coding cost of the policy. Second, we address the problem of curiosity-driven learning. We propose that, in addition to maximizing the expected return, a learner should choose a policy that also maximizes the learner's predictive power. This makes the world both interesting and exploitable. Optimal policies then have the form of Boltzmann-style exploration with a bonus, containing a novel exploration-exploitation trade-off which emerges naturally from the proposed optimization principle. Importantly, this exploration-exploitation trade-off persists in the optimal deterministic policy, i.e., when there is no exploration due to randomness. As a result, exploration is understood as an emerging behavior that optimizes information gain, rather than being modeled as pure randomization of action choices.
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“One common answer to this question stems from game-theoretic approaches of language evolution that emphasize utility maximization (Chaabouni, Strub, et al., 2021;Steels & Belpaeme, 2005;Still & Precup, 2012).”
From Towards Human-Like Emergent Communication via Utility, Informativeness, and Complexity (2025) · cites this paper as Still & Precup, 2012
Citations
Cites
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Research works printed but not linked: 32
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Cited by
Sorted by citations
Curiosity-Driven Exploration by Self-Supervised Prediction
Pathak, D., Agrawal, P., Efros, A. A., & Darrell, T. (2017) · 2017 IEEE Conference on Computer Vision and Pattern Recognition Workshops (CVPRW) · doi:10.1109/cvprw.2017.70 · Cited by 1,815
“Many approaches measure information gain for exploration (Little & Sommer, 2014; Still & Precup, 2012; Storck et al., 1995).”
BackgroundActive inference: a process theory
Friston, K., FitzGerald, T., Rigoli, F., Schwartenbeck, P., & Pezzulo, G. (2017) · Neural Computation · doi:10.1162/neco_a_00912 · Cited by 1,156
“This resolution of uncertainty is closely related to satisfying artificial curiosity (Schmidhuber, 1991; Still & Precup, 2012) and speaks to the value of information (Howard, 1966).”
BackgroundFriston, K., FitzGerald, T., Rigoli, F., Schwartenbeck, P., ODoherty, J., & Pezzulo, G. (2016) · Neuroscience & Biobehavioral Reviews · doi:10.1016/j.neubiorev.2016.06.022 · Cited by 674
Active inference and epistemic value
Friston, K., Rigoli, F., Ognibene, D., Mathys, C., Fitzgerald, T., & Pezzulo, G. (2015) · Cognitive Neuroscience · doi:10.1080/17588928.2015.1020053 · Cited by 731
“In particular, it addresses how resolving uncertainty “makes the world interesting and exploitable” (Still & Precup, 2012, p. 139).”
BackgroundExploration by Random Network Distillation
Burda, Y., Edwards, H., Storkey, A., & Klimov, O. (2018) · arXiv · doi:10.48550/arxiv.1810.12894 · Cited by 527
“This has motivated work on exploration via quantification of uncertainty (Still & Precup, 2012; Houthooft et al., 2016) or prediction improvement measures (Schmidhuber, 1991a; Oudeyer et al., 2007; Lopes et al., 2012; Achiam & Sastry, 2017).”
Method
Metadata
- Authors
- Still, S., & Precup, D.
- Affiliations
- University of Hawaiʻi at Mānoa (US)
- McGill University (CA)
- Corresponding author
- Still, Susanne
- ORCID
- Precup, Doina
- Venue
- Theory in Biosciences
- Published
- 2012-07-12
- Volume
- 131
- Issue
- 3
- Pages
- 139-148
- ISSN
- 1431-7613 (ISSN-L)
- 1611-7530
- OpenAlex
- W2020920737
- Cited by
- 165
- References
- 0
- Citations by year
- 2026: 4 · 2025: 9 · 2024: 17 · 2023: 10 · 2022: 14 · 2021: 23 · 2020: 25 · 2019: 21 · 2018: 10 · 2017: 7 · 2016: 7 · 2015: 4 · 2014: 6 · 2013: 3 · 2012: 3
- FWCI
- 5.03
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Theory in Biosciences (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Reinforcement Learning in Robotics
- Social Sciences › Decision Sciences › Management Science and Operations Research › Advanced Bandit Algorithms Research
- Physical Sciences › Computer Science › Artificial Intelligence › Machine Learning and Algorithms
- Keywords
- curiosity-driven learning, exploration-exploitation balance, Boltzmann exploration, information-theoretic optimization, predictive power, information gain, expected returns, deterministic policies, reinforcement learning
- MeSH terms
- Algorithms, Animals, Exploratory Behavior, Humans, Information Theory, Learning
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