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Robust and Safe Reinforcement Learning with Optimal Transport Perturbations


Core Concepts
Robust and safe reinforcement learning framework that incorporates general environment disturbances using optimal transport cost uncertainty set, with an efficient implementation based on applying Optimal Transport Perturbations to construct worst-case virtual state transitions.
Abstract

The content presents a robust and safe reinforcement learning (RL) framework that incorporates general environment disturbances using an optimal transport cost uncertainty set. The key highlights are:

  1. Formulation of a safe RL framework that provides robustness to general disturbances using the optimal transport cost between transition models.
  2. Theorem 1 shows that the resulting worst-case optimization problems over transition models can be reformulated as adversarial perturbations to state transitions in the training environment.
  3. Proposal of an efficient deep RL implementation of Optimal Transport Perturbations, which are used to construct worst-case virtual state transitions without impacting data collection during training.
  4. Experimental results on continuous control tasks with safety constraints demonstrate that the use of Optimal Transport Perturbations leads to robust performance and safety both during training and in the presence of disturbances, outperforming standard safe RL, adversarial RL, domain randomization, and distributionally robust safe RL approaches.

The framework makes limited assumptions on the data collection process during training and does not require directly modifying the environment, making it compatible with many real-world decision making applications.

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Stats
The content does not contain any explicit numerical data or metrics. The key figures and statistics are presented in the form of relative performance comparisons and percentage of safety constraint satisfaction across different algorithms and test environments.
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Deeper Inquiries

How can the Optimal Transport Perturbations framework be extended to handle safety constraints that require avoiding sets of unsafe states, rather than just bounding expected total costs

To extend the Optimal Transport Perturbations framework to handle safety constraints that require avoiding sets of unsafe states, we can incorporate control-theoretic approaches into the methodology. Instead of focusing solely on the expected total costs as a safety constraint, we can introduce constraints that explicitly define regions of the state space as unsafe and aim to avoid them during decision-making. This can be achieved by incorporating barrier functions or safety filters into the framework, which provide guarantees on staying within safe regions of the state space. By integrating control-theoretic safety constraints into the Optimal Transport Perturbations framework, we can ensure that the learned policies not only optimize performance and safety in terms of costs but also actively avoid unsafe states. This extension would enhance the robustness of the algorithms in scenarios where safety is defined by the avoidance of specific states or regions rather than just cost constraints.

How would the performance and safety of the Optimal Transport Perturbations framework compare to other approaches if applied to more complex, real-world robotic control tasks with highly uncertain and potentially adversarial environments

When applied to more complex, real-world robotic control tasks with highly uncertain and potentially adversarial environments, the performance and safety of the Optimal Transport Perturbations (OTP) framework are expected to showcase several advantages over other approaches. Robustness to General Disturbances: OTP provides robustness guarantees against a wide range of environment disturbances, making it suitable for handling uncertainties and adversarial perturbations commonly encountered in real-world scenarios. Efficient Implementation: The ability to construct worst-case virtual state transitions without impacting data collection during training makes OTP a practical and efficient choice for complex tasks where detailed simulator access may be limited. Flexibility and Adaptability: OTP's flexibility in defining the uncertainty set based on optimal transport cost allows for a more adaptable and generalizable approach to handling various forms of disturbances, making it well-suited for diverse and dynamic environments. Performance and Safety Trade-off: OTP's ability to balance performance and safety through adversarial perturbations while maintaining safety constraints can lead to improved overall performance and robustness in challenging real-world robotic control tasks. In comparison to other approaches such as adversarial reinforcement learning, domain randomization, and distributionally robust methods, OTP's unique combination of robustness, efficiency, and adaptability positions it as a promising framework for addressing the complexities of real-world robotic control tasks.

What are the potential ethical implications of deploying robust and safe reinforcement learning algorithms in high-stakes decision making applications, and how can we ensure these algorithms are aligned with human values and preferences

The deployment of robust and safe reinforcement learning algorithms in high-stakes decision-making applications raises several ethical implications that need to be carefully considered and addressed: Transparency and Accountability: Ensuring transparency in the decision-making process of these algorithms is crucial to understanding how they arrive at their conclusions. Establishing accountability mechanisms to trace back decisions to the algorithms and developers responsible is essential. Bias and Fairness: Guarding against biases in the data used to train these algorithms is paramount to prevent discriminatory outcomes. Fairness considerations should be integrated into the algorithm design to ensure equitable decision-making. Human Oversight and Intervention: While these algorithms can provide valuable insights and automation, human oversight and intervention should always be available to intervene in critical situations or when the algorithm's decisions are questionable. Privacy and Data Security: Protecting the privacy of individuals whose data is used to train these algorithms is crucial. Implementing robust data security measures to safeguard sensitive information is necessary. Value Alignment: Ensuring that the objectives and decisions of the algorithms align with human values and preferences is essential. Ethical frameworks should be integrated into the algorithm design process to prioritize human well-being and societal benefit. By addressing these ethical considerations and incorporating ethical guidelines and frameworks into the development and deployment of robust and safe reinforcement learning algorithms, we can mitigate potential risks and ensure that these algorithms contribute positively to high-stakes decision-making applications.
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