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The Assistive Multi-Armed Bandit (1901.08654v1)

Published 24 Jan 2019 in cs.LG, cs.AI, and stat.ML

Abstract: Learning preferences implicit in the choices humans make is a well studied problem in both economics and computer science. However, most work makes the assumption that humans are acting (noisily) optimally with respect to their preferences. Such approaches can fail when people are themselves learning about what they want. In this work, we introduce the assistive multi-armed bandit, where a robot assists a human playing a bandit task to maximize cumulative reward. In this problem, the human does not know the reward function but can learn it through the rewards received from arm pulls; the robot only observes which arms the human pulls but not the reward associated with each pull. We offer sufficient and necessary conditions for successfully assisting the human in this framework. Surprisingly, better human performance in isolation does not necessarily lead to better performance when assisted by the robot: a human policy can do better by effectively communicating its observed rewards to the robot. We conduct proof-of-concept experiments that support these results. We see this work as contributing towards a theory behind algorithms for human-robot interaction.

Citations (36)

Summary

  • The paper introduces the Assistive Multi-Armed Bandit (MAB) framework, enabling robots to aid human decision-making by learning from evolving preferences.
  • Theoretical insights demonstrate that human-robot collaboration can achieve consistent learning and logarithmic regret, even with inconsistent human strategies.
  • Experimental validation using policy optimization confirms the practical plausibility of assistive learning and highlights the need for accurate human policy modeling.

The Assistive Multi-Armed Bandit: A Framework for Human-Robot Interaction

In addressing the complexities of human preference learning, the paper introduces the Assistive Multi-Armed Bandit (MAB) framework, where robots help humans optimize their decision-making process amidst evolving preferences. This framework emerges in response to challenges where traditional models presuppose stationary human preferences and optimal decision-making, which may not hold in real-world scenarios where humans learn or adapt their preferences over time.

Key Contributions

The authors' principal contribution lies in extending the conventional MAB paradigm by introducing an assistive agent—the robot—into the learning process. This setup is conceptualized in various interaction modes such as teleoperation, turn-taking, and preemptive interaction, wherein the robot aids without access to direct rewards but rather learns from the human's interaction with the system. The paper systematically outlines the conditions under which this assistance is theoretically feasible and effective.

Theoretical Insights

Stationary vs. Learning Agents: Classical models often interpret human actions as noisy-optimality, assuming fixed preferences. However, the authors demonstrate that treating preference adaptation as an inverse learning problem presents a fundamentally different challenge compared to assuming human decisions are stationary IOC or IRL.

Consistency in Assistive Learning: A notable finding is that if the human employs strategies that communicate observed rewards effectively, such as "win-stay-lose-shift", the human-robot collaboration can theoretically achieve consistency even when the human's policy is inconsistent or non-optimal.

Regret Analysis: The paper contrasts the achievable regret between standard MAB strategies and assistive MAB strategies, highlighting that while human strategies may not reach optimal performance alone, the collaboration can potentially approach optimality—achieving logarithmic regret growth.

Experimental Validation

Using policy optimization algorithms, the authors validate their theoretical results across varying human policy frameworks, demonstrating the plausibility of robot assistance in practice. Notably, the results underscore the importance of modeling the learning correctly—assistance strategies based on erroneous assumptions of human policies often lead to suboptimal outcomes compared to when the learning is accurately modeled.

Practical Implications and Future Work

The novel framework offers practical implications for designing more adaptive robots that enhance human performance even when humans are uncertain of their preferences. Future work is warranted to explore extensions to contextual bandits or MDPs, real human interaction models, and the implications of policy misspecification in dynamic environments.

The paper significantly advances the theoretical foundation and algorithmic methods for interactive preference learning and human-robot collaboration. By rigorously addressing both the human learning dynamics and the robot's assistive role, it lays groundwork for sophisticated applications in personalized assistance systems, autonomous influence generation, and more.

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