Keeping Learning-Based Control Safe by Regulating Distributional Shift – The Berkeley Artificial Intelligence Research Blog

Ensuring Safety in Learning-Based Control by Regulating Distributional Shift – Discover the Berkeley Artificial Intelligence Research Blog

Introduction:

In this introduction, we discuss the need to regulate the distribution shift experienced by learning-based controllers. While most prior work focuses on maintaining physical safety, there is a concern with machine learning models outputting erroneous predictions on out-of-distribution inputs. To address this, we propose a framework that combines density estimation and control theory to control the distributional shift experienced by the agent. We introduce the concept of Lyapunov density models, which merge the dynamics-aware aspect of a Lyapunov function with the data-aware aspect of a density model to keep the system from going out-of-distribution. We provide an overview of existing techniques for guaranteeing physical safety using barrier functions and extend these ideas to ensure in-distribution trajectory for the agent.

Full Article: Ensuring Safety in Learning-Based Control by Regulating Distributional Shift – Discover the Berkeley Artificial Intelligence Research Blog

Regulating Distribution Shift in Learning-Based Controllers: A New Framework for Ensuring Safety and Reliability

In order to effectively control real-world systems using machine learning and reinforcement learning algorithms, it is crucial to not only achieve good performance but also ensure the safety and reliability of the controllers. Most existing work on safety-critical control focuses on maintaining the physical safety of the system, such as avoiding collisions or falling over. However, for learning-based controllers, there is an additional source of safety concern related to the distribution shift experienced by the agent.

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The Problem with Distribution Shift

Machine learning models are trained on a specific data distribution and are optimized to make accurate predictions within that distribution. However, when evaluated on out-of-distribution inputs, these models may output erroneous predictions. If a learning-enabled controller interacts with states or takes actions that are significantly different from those in the training data, it may “exploit” the inaccuracies in the learned component and produce suboptimal or even dangerous actions.

Introducing a New Framework

To address this challenge, we propose a new framework that views the training data distribution as a safety constraint and leverages tools from control theory to control the distributional shift experienced by the agent during closed-loop control. Our central idea is to combine Lyapunov stability and density estimation to create Lyapunov density models (LDMs), which serve as “barrier” functions to ensure that the agent stays within regions of high data density.

Existing Techniques for Physical Safety

Before introducing our new framework, it is important to understand existing techniques for ensuring physical safety using barrier functions. Control theorists design barrier functions to constrain the controller’s actions at each step, preventing the system from visiting unsafe states or irrecoverable states that would lead to unsafe states in the future. By considering a long-horizon strategy, these barrier functions guarantee safety throughout the agent’s entire trajectory.

Extending Barrier Functions to Distribution Shift

While traditional barrier functions focus on physical safety, our goal is to regulate the distribution shift experienced by the agent. To achieve this, we introduce Lyapunov density models (LDMs) as a new kind of barrier function. LDMs merge the dynamics-aware aspect of Lyapunov functions with the data-aware aspect of density models. They map state and action pairs to negative log densities, representing the best data density that the agent should stay above throughout its trajectory.

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Ensuring In-Distribution Trajectories

With LDMs, we can guarantee that the agent remains in the training data distribution for its entire trajectory. Unlike single-step density models, which only consider the next timestep, LDMs take into account the long-term consequences of visiting certain states. By increasing the value of “irrecoverable” states, LDMs restrict the agent to a smaller set of states and actions that ensure it remains in high data-density regions.

Conclusion

Regulating the distribution shift experienced by learning-based controllers is crucial for ensuring their safety and reliability. By combining Lyapunov stability and density estimation, we propose a new framework based on Lyapunov density models (LDMs) as barrier functions. These LDMs enable controllers to stay within regions of high data density, preventing exploitation of model inaccuracies and ensuring the agent’s long-term safety.

Summary: Ensuring Safety in Learning-Based Control by Regulating Distributional Shift – Discover the Berkeley Artificial Intelligence Research Blog

In this research work, the aim is to develop a mechanism to regulate the distribution shift experienced by learning-based controllers. This is important because machine learning models are prone to making erroneous predictions when evaluated on out-of-distribution inputs. To address this safety concern, the authors propose a new framework that combines density estimation and Lyapunov stability. They introduce the concept of Lyapunov density models, which serve as “barrier” functions to constrain the controller and keep the agent in regions of high data density. The authors also discuss existing techniques for ensuring physical safety using barrier functions and extend these ideas to regulate the distribution shift. The proposed framework offers a guarantee that the agent will stay in the training data distribution for its entire trajectory.

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