An algorithmic perspective on imitation learning
Open accessAbstract
As robots and other intelligent agents move from simple environments and problems to more complex, unstructured settings, manually programming their behavior has become increasingly challenging and expensive. Often, it is easier for a teacher to demonstrate a desired behavior rather than attempt to manually engineer it. This process of learning from demonstrations, and the study of algorithms to do so, is called imitation learning. This work provides an introduction to imitation learning. It covers the underlying assumptions, approaches, and how they relate; the rich set of algorithms developed to tackle the problem; and advice on effective tools and implementation. We intend this paper to serve two audiences. First, we want to familiarize machine learning experts with the challenges of imitation learning, particularly those arising in robotics, and the interesting theoretical and practical distinctions between it and more familiar frameworks like statistical supervised learning theory and reinforcement learning. Second, we want to give roboticists and experts in applied artificial intelligence a broader appreciation for the frameworks and tools available for imitation learning. We organize our work by dividing imitation learning into directly replicating desired behavior (sometimes called behavioral cloning [Bain and Sammut, 1996]) and learning the hidden objectives of the desired behavior from demonstrations (called inverse optimal control [Kalman, 1964] or inverse reinforcement learning [Russell, 1998]). In addition to method analysis, we discuss the design decisions a practitioner must make when selecting an imitation learning approach. Moreover, application examples—such as robots that play table tennis Kober and Peters, 2009 and programs that play the game of Go Silver et al. 2016—illustrate the properties and motivations behind different forms of imitation learning. We conclude by presenting a set of open questions and point towards possible future research directions.
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IL suffers from several issues: demonstration data can be suboptimal, contain noise, and have a different domain compared to the application domain.
“The major bottlenecks are demonstration data that can (1) be suboptimal, (2) contain noise and (3) have a different domain (different MDP/POMDP) compared to the application domain [8].”
From Data-Driven Robotic Manipulation of Cloth-like Deformable Objects: The Present, Challenges and Future Prospects (2023) · cites this paper as [8]
Section 1.3 describes a mismatch between the distributions of expert demonstrations and learner reproductions, and §1.4 says differences in embodiment and observability can require adaptation. The copy does not establish that this means different MDPs or POMDPs. It gives an example of noisy observations and control inputs, but does not clearly identify noisy or suboptimal demonstration data as major bottlenecks; §1.3 instead says imitation learning often assumes optimal or at least good demonstrations. Page numbers were not available in the indexed passages. (LLM, conf=0.83)
Experimental — accuracy not yet measuredTraining an approximated dynamic model using supervised learning with transitions induced by a base policy generally does not work well in practice, especially in high-dimensional settings, mainly due to the distributional shift problem.
“This approach generally does not work well in practice, especially in high-dimensional settings [37,38], mainly due to the distributional shift problem, i.e., ρπP^(st)≠ρπbase(st)[8]”
From Data-Driven Robotic Manipulation of Cloth-like Deformable Objects: The Present, Challenges and Future Prospects (2023) · cites this paper as [8]
Section 1.3 (page not provided) explains that a learner can encounter states absent from expert demonstrations, creating covariate shift between training and deployment distributions. That supports the distribution-shift explanation attributed to this source, but the passage concerns imitation learning, not a supervised dynamics model trained on base-policy transitions; it does not establish that this approach generally fails in high-dimensional settings. (LLM, conf=0.84)
Experimental — accuracy not yet measuredData-driven approaches with deep learning, such as deep reinforcement learning and deep imitation learning, have demonstrated advantages in performing task-level and skill-level control problems.
“In recent years, data-driven approaches with deep learning (DL) [6], such as deep reinforcement learning (DRL) [7] and deep imitation learning (DIL) [8], have demonstrated many advantages in performing task-level and skill-level control problems (Section 3.3).”
From Data-Driven Robotic Manipulation of Cloth-like Deformable Objects: The Present, Challenges and Future Prospects (2023) · cites this paper as [8]
Imitation learning is the first type of data-driven control method that has been used considerably in all four families of the CDO domain.
“Imitation learning (IL) [8] is the first type of data-driven control method that has been used considerably in all four families of the CDO domain (Section 6).”
From Data-Driven Robotic Manipulation of Cloth-like Deformable Objects: The Present, Challenges and Future Prospects (2023) · cites this paper as [8]
A hidden Markov model cannot produce long smooth action sequences because it is a discrete process.
“However, an HMM cannot produce long smooth action sequences as it is a discrete process [8].”
From Data-Driven Robotic Manipulation of Cloth-like Deformable Objects: The Present, Challenges and Future Prospects (2023) · cites this paper as [8]
The passages in §1.5.2–1.5.3 define the Markov property and finite Markov decision processes, but do not discuss whether HMMs can generate long, smooth action sequences. Searches for “hidden Markov model,” “HMM,” and smooth trajectories found no passage in our copy making the claimed connection. (LLM, conf=0.72)
Experimental — accuracy not yet measured
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Nasiriany, S., Liu, H., & Zhu, Y. (2022) · 2022 International Conference on Robotics and Automation (ICRA) · doi:10.1109/icra46639.2022.9812140 · Cited by 91 · see citing works
A Survey of Reinforcement Learning from Human Feedback
Kaufmann, T., Weng, P., Bengs, V., & Hüllermeier, E. (2023) · arXiv · doi:10.48550/arxiv.2312.14925 · Cited by 43 · see citing works
Reinforcement learning and bandits for speech and language processing: Tutorial, review and outlook
Lin, B. (2024) · Expert Systems with Applications · doi:10.1016/j.eswa.2023.122254 · Cited by 28 · see citing works
Sena, A., Michael, B., & Howard, M. (2019) · 2019 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) · doi:10.1109/iros40897.2019.8967688 · Cited by 26 · see citing works
“Generalisation of demonstrated trajectories is identified as a central problem in LfD in [6].”
BackgroundKadi, H. A., & Terzić, K. (2023) · Sensors · doi:10.3390/s23052389 · Cited by 19 · see citing works
- Authors
- Osa, T., Pajarinen, J., Neumann, G., Bagnell, J. A., Abbeel, P., & Peters, J.
- Affiliations
- The University of Tokyo (JP)
- Technische Universität Darmstadt (DE)
- University of Lincoln (GB)
- Carnegie Mellon University (US)
- University of California, Berkeley (US)
- Venue
- Foundations and Trends in Robotics
- Publisher
- Emerald
- Published
- 2018-03-27
- Volume
- 7
- Issue
- 1-2
- Pages
- 1-179
- ISSN
- 1935-8253 (ISSN-L)
- 1935-8261
- OpenAlex
- W3101780148
- Cited by
- 405
- References
- 233
- Citations by year
- 2026: 37 · 2025: 45 · 2024: 53 · 2023: 86 · 2022: 61 · 2021: 56 · 2020: 42 · 2019: 23 · 2018: 2
- FWCI
- 17.31
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Foundations and Trends in Robotics (publishedVersion)
- Lincoln Repository (University of Lincoln) (acceptedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Reinforcement Learning in Robotics
- Physical Sciences › Engineering › Control and Systems Engineering › Robot Manipulation and Learning
- Physical Sciences › Computer Science › Artificial Intelligence › Machine Learning and Algorithms
- Keywords
- imitation learning, behavior cloning, inverse reinforcement learning, inverse optimal control, robotics, algorithm selection, table tennis robot
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