TAIL-Safe: Task-Agnostic Safety Monitoring for Imitation Learning Policies

TL;DR

TAIL-Safe introduces a safety monitoring approach for imitation learning policies, enabling them to identify safe execution regions and recover from unsafe actions, thus improving robustness in manipulation tasks.

Contribution

It proposes a Lipschitz-continuous Q-value function and a recovery mechanism to ensure safe policy execution and success in out-of-distribution scenarios.

Findings

Flow-matching policies succeed when guided by TAIL-Safe.

TAIL-Safe effectively identifies safe state-action regions.

Recovery mechanism maintains task success under perturbations.

Abstract

Recent imitation learning (IL) algorithms such as flow-matching and diffusion policies demonstrate remarkable performance in learning complex manipulation tasks. However, these policies often fail even when operating within their training distribution due to extreme sensitivity to initial conditions and irreducible approximation errors that lead to compounding drift. This makes it unsafe to deploy IL policies in the field where out-of-distribution scenarios are prevalent. A prerequisite for safe deployment is enabling the policy to determine whether it can execute a task the way it was learned from demonstrations. This paper presents TAIL-Safe, a principled approach to identify, for a trained IL policy, a safe set from where the policy empirically succeeds in completing the learned task. We propose a Lipschitz-continuous Q-value function that maps state-action pairs to a long-term safety score based on three short-term task-agnostic criteria: visibility, recognizability, and graspability. The zero-superlevel set of this function characterizes an empirical control invariant set over state-action pairs. When the nominal policy proposes an action outside this set, we apply a recovery mechanism inspired by Nagumo's theorem that uses gradient ascent to the Q-function to steer the policy back to safety. To learn this Q-function, we construct a high-fidelity digital twin using Gaussian Splatting that enables systematic collection of failure data without risk to physical hardware. Experiments with a Franka Emika robot demonstrate that flow-matching policies, which fail under run-time perturbations, achieve consistent task success when guided by the proposed TAIL-Safe.