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Provably Efficient Imitation Learning from Observation Alone (1905.10948v2)

Published 27 May 2019 in cs.LG and stat.ML

Abstract: We study Imitation Learning (IL) from Observations alone (ILFO) in large-scale MDPs. While most IL algorithms rely on an expert to directly provide actions to the learner, in this setting the expert only supplies sequences of observations. We design a new model-free algorithm for ILFO, Forward Adversarial Imitation Learning (FAIL), which learns a sequence of time-dependent policies by minimizing an Integral Probability Metric between the observation distributions of the expert policy and the learner. FAIL is the first provably efficient algorithm in ILFO setting, which learns a near-optimal policy with a number of samples that is polynomial in all relevant parameters but independent of the number of unique observations. The resulting theory extends the domain of provably sample efficient learning algorithms beyond existing results, which typically only consider tabular reinforcement learning settings or settings that require access to a near-optimal reset distribution. We also investigate the extension of FAIL in a model-based setting. Finally we demonstrate the efficacy of FAIL on multiple OpenAI Gym control tasks.

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Authors (4)
  1. Wen Sun (124 papers)
  2. Anirudh Vemula (15 papers)
  3. Byron Boots (120 papers)
  4. J. Andrew Bagnell (64 papers)
Citations (101)

Summary

Analysis of "Provably Efficient Imitation Learning from Observation Alone"

This paper addresses the challenges of Imitation Learning from Observations Alone (ILFO), where an expert provides sequences of observations without corresponding actions. The authors propose Forward Adversarial Imitation Learning (FAIL), a novel model-free algorithm aimed at learning near-optimal policies within large-scale Markov Decision Processes (MDPs). Importantly, FAIL does not rely on action or reward signals, differentiating it from traditional imitation learning strategies that require such signals for effective learning.

The research extends current understanding and capabilities beyond existing tabular reinforcement learning paradigms and introduces an algorithm capable of efficiently dealing with sample complexity independently of the observation space size. By formulating the problem as a series of two-player min-max games involving the minimization of an Integral Probability Metric (IPM), FAIL aligns the learner's observation distribution with the expert's more effectively than previous approaches.

Key Contributions

  • Algorithm Development: FAIL is presented as a solution to the ILFO problem, decomposing the learning process into multiple two-player min-max games. Each game leverages time-dependent policies, ensuring the learner's observational outputs approximate those from the expert.
  • Sample Efficiency: FAIL is articulated as provably efficient, with sample complexity scaling polynomially with respect to several key parameters, such as function approximation complexity, but crucially not with the observation space size. This represents a significant enhancement over existing model-free and model-based methods that scale less favorably.
  • Theoretical Insight: Theoretical results demonstrate that FAIL can efficiently learn a near-optimal policy, underscoring the importance of appropriate discriminator class design to balance the trade-off between modeling power and generalization ability.
  • Comprehensive Experiments: Demonstrating empirical efficacy, FAIL is tested across various control tasks in OpenAI Gym, showing superior performance compared to modified state-of-the-art algorithms such as Generative Adversarial Imitation Learning (GAIL).

Implications and Future Directions

The implications of this work are noteworthy for both theoretical and practical dimensions of imitation learning and reinforcement learning. By successfully executing learning from observations alone, FAIL opens avenues for applications where action specifications are challenging to obtain, such as learning from human demonstrations or ambiguous scenarios.

Furthermore, the demonstration of an exponential separation between ILFO and traditional Reinforcement Learning (RL) underscores ILFO's potential in scenarios where RL would incur prohibitive sample costs. This theoretical advancement points towards a fundamental reconsideration of how observational data is leveraged in learning environments.

Speculatively, future research could delve into optimizing the FAIL algorithm for continuous action spaces, exploring its viability in more complex environments, or integrating it with hybrid approaches that capitalize on the strengths of both model-free and model-based frameworks.

In sum, the "Provably Efficient Imitation Learning from Observation Alone" paper surfaces as a pivotal piece highlighting the viability of imitation learning paradigms that bypass conventional action-reward dependencies, heralding advancements across applicable AI tasks.

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