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Inverse Constrained Reinforcement Learning (2011.09999v3)

Published 19 Nov 2020 in cs.LG, cs.RO, cs.SY, and eess.SY

Abstract: In real world settings, numerous constraints are present which are hard to specify mathematically. However, for the real world deployment of reinforcement learning (RL), it is critical that RL agents are aware of these constraints, so that they can act safely. In this work, we consider the problem of learning constraints from demonstrations of a constraint-abiding agent's behavior. We experimentally validate our approach and show that our framework can successfully learn the most likely constraints that the agent respects. We further show that these learned constraints are \textit{transferable} to new agents that may have different morphologies and/or reward functions. Previous works in this regard have either mainly been restricted to tabular (discrete) settings, specific types of constraints or assume the environment's transition dynamics. In contrast, our framework is able to learn arbitrary \textit{Markovian} constraints in high-dimensions in a completely model-free setting. The code can be found it: \url{https://github.com/shehryar-malik/icrl}.

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Authors (4)
  1. Usman Anwar (14 papers)
  2. Shehryar Malik (3 papers)
  3. Alireza Aghasi (36 papers)
  4. Ali Ahmed (24 papers)
Citations (53)

Summary

Inverse Constrained Reinforcement Learning: A Methodological Exposition

The paper "Inverse Constrained Reinforcement Learning" introduces a novel approach to constraint learning within the domain of reinforcement learning (RL) by leveraging demonstrations of expert behavior. This work seeks to address the challenge of specifying constraints in RL environments, a task crucial for ensuring the safe deployment of RL agents in real-world applications. The authors propose a solution that circumvents the limitations of previous approaches, which have either been confined to discrete settings or have required prior knowledge of the environment's dynamics.

Technical Contributions and Methodology

The primary contribution of the work is an algorithm that can infer constraints in continuous high-dimensional spaces via a model-free approach. By observing an expert agent abiding by implicit constraints, the proposed method reconstructs these constraints to guide new agents—even those with different morphologies or reward functions. The approach builds on the concept of Inverse Reinforcement Learning (IRL) but extends it by focusing on constraint learning (referred to as Inverse Constrained Reinforcement Learning, ICRL). This is achieved by formulating the problem within a Maximum Likelihood framework that applies the maximum entropy principle to infer the constraint set best explaining the observed expert trajectories.

The methodology involves an interplay between forward and inverse RL processes. The forward component seeks to optimize a policy under learned constraints using a gradient ascent approach via the Proximal Policy Optimization algorithm. The inverse aspect involves a sample-based approximation to update a neural network that models the constraint function. The gradient asymptotically finds the constraints that minimize the difference between the expected behavior of nominal and expert data.

Experimental Validation and Results

The experiments conducted include tests in both low and high-dimensional environments. In settings like LapGridWorld, HalfCheetah, and Ant, the proposed ICRL method successfully trained agents that adhered to learned constraints, thereby demonstrating superior capability over baselines such as a simple binary classifier and a modified Generative Adversarial Imitation Learning (GAIL). Notably, the model-free nature allows handling continuous state and action spaces without requiring specific assumptions about the environment's transition function, addressing a significant gap in the existing literature.

Another key experiment showcased the method's ability to transfer constraints inferred from one agent to another in a different domain (e.g., transferring constraints from an Ant robot to a Point robot and a Broken-Ant variant), emphasizing the scalability and flexibility of the approach.

Implications and Future Prospects

The learnings from this paper have important implications for the safe deployment of RL agents, notably in contexts where explicit constraint specification is infeasible. The ability to infer constraints from expert behavior directly translates to greater autonomy and alignment of RL systems with human-like behavior customs and expectations.

This work opens avenues for further research in several directions. A potential extension lies in addressing stochastic MDPs, which were not covered due to the deterministic nature of the current setup. Moreover, expanding the method to include soft constraints and exploring its application in offline contexts with limited interaction could prove invaluable for RL in complex real-world scenarios. Such advancements would significantly enhance the applicability of RL in domains prioritizing safety and compliance with intricate behavioral norms.

In conclusion, this paper provides a robust methodological framework for constraint inference in reinforcement learning, thereby contributing a significant technique to ensure RL systems operate safely in various application domains.

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