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Mission-driven Exploration for Accelerated Deep Reinforcement Learning with Temporal Logic Task Specifications (2311.17059v1)

Published 28 Nov 2023 in cs.RO, cs.AI, and cs.LG

Abstract: This paper addresses the problem of designing optimal control policies for mobile robots with mission and safety requirements specified using Linear Temporal Logic (LTL). We consider robots with unknown stochastic dynamics operating in environments with unknown geometric structure. The robots are equipped with sensors allowing them to detect obstacles. Our goal is to synthesize a control policy that maximizes the probability of satisfying an LTL-encoded task in the presence of motion and environmental uncertainty. Several deep reinforcement learning (DRL) algorithms have been proposed recently to address similar problems. A common limitation in related works is that of slow learning performance. In order to address this issue, we propose a novel DRL algorithm, which has the capability to learn control policies at a notably faster rate compared to similar methods. Its sample efficiency is due to a mission-driven exploration strategy that prioritizes exploration towards directions that may contribute to mission accomplishment. Identifying these directions relies on an automaton representation of the LTL task as well as a learned neural network that (partially) models the unknown system dynamics. We provide comparative experiments demonstrating the efficiency of our algorithm on robot navigation tasks in unknown environments.

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Authors (5)
  1. Jun Wang (991 papers)
  2. Hosein Hasanbeig (8 papers)
  3. Kaiyuan Tan (8 papers)
  4. Zihe Sun (2 papers)
  5. Yiannis Kantaros (39 papers)
Citations (3)

Summary

Mission-driven Exploration for Accelerated Deep Reinforcement Learning with Temporal Logic Task Specifications

This paper addresses a significant challenge in the field of designing optimal control policies for mobile robots—specifically, those that need to adhere to mission and safety requirements expressed through Linear Temporal Logic (LTL). The focus is on robots with unknown stochastic dynamics, operating in environments with ambiguous geometric structure. These robots are equipped with sensors to detect obstacles, and the primary objective is the synthesis of control policies that maximize the probability of meeting an LTL-encoded task despite motion and environmental uncertainties.

Key Contributions

  1. Novel Deep Reinforcement Learning Algorithm: The paper introduces a deep reinforcement learning (DRL) algorithm tailored to accelerate the learning of control policies. This algorithm stands out due to its mission-driven exploration strategy, which prioritizes exploration in directions that potentially fulfill the mission. This strategic exploration is crucial for enhancing the sample efficiency of the algorithm, addressing a major limitation in existing methods—slow learning performance.
  2. Automaton Representation of LTL Tasks: To identify beneficial exploration directions, the authors leverage an automaton representation of the LTL task alongside a learned neural network model that partially captures the unknown system dynamics. This dual-representation method is pivotal in guiding the exploration process more effectively compared to random or naïve methods.
  3. Stochastic Policy: The paper proposes a stochastic policy extending the traditional ϵ\epsilon-greedy policy, incorporating an exploitation phase coupled with a mission-driven exploration strategy. This innovative policy is designed to ensure learning convergence while optimizing exploration parameters dynamically throughout the training process.
  4. Experimental Validation and Comparative Analysis: The efficacy of the proposed approach is validated through comparative experiments on robot navigation tasks in complex and unknown environments. These experiments demonstrate superior sample efficiency of the proposed method in comparison to benchmarks like DQN and actor-critic algorithms.

Implications of the Research

Practical Implications:

The proposed algorithm addresses the practical need for efficient policy synthesis in robotics, especially in scenarios involving complex mission specifications under uncertainty. By improving sample efficiency, the algorithm reduces the time and data required to learn effective policies, which is critical for real-world deployment in dynamic and unpredictable environments.

Theoretical Implications:

The use of LTL and automaton theory in guiding reinforcement learning processes introduces a robust framework for handling temporal and logical constraints within RL tasks. This integration opens up new avenues for leveraging formal methods in RL, offering more systematically reliable and theoretically sound approaches to policy learning.

Future Developments in AI

The paper hints at several promising directions for future research:

  1. Extension to High-dimensional Spaces: Future work could explore the adaptation of the proposed algorithm to high-dimensional state and action spaces, which is pertinent for applications involving more sensors and actuators, and more complex robot behaviors.
  2. Broader Applications: Extending the framework beyond navigation tasks to other robotics applications, such as manipulation and multi-robot coordination, could further validate and enhance the versatility of the mission-driven exploration strategy.
  3. Enhanced Modeling Techniques: Augmenting the neural network model to capture more intricate system dynamics and sensor modalities can further improve the robustness and accuracy of the exploration and learning process.

Conclusion

This paper presents a significant advancement in the field of deep reinforcement learning for robotic control by integrating LTL task specifications with strategic exploration methods. The proposed algorithm not only demonstrates improved learning efficiency but also showcases the potential of leveraging formal languages and automaton theory within RL frameworks. The practicality and theoretical soundness of this approach can pave the way for future research aimed at more complex and high-dimensional RL tasks, promising broader applicability and impact in the robotics domain.