Distributionally Robust Imitation Learning: Layered Control Architecture for Certifiable Autonomy

Fuente: arXiv
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Autori principali: Gahlawat, Aditya, Aboudonia, Ahmed, Banik, Sandeep, Hovakimyan, Naira, Matni, Nikolai, Ames, Aaron D., Zardini, Gioele, Speranzon, Alberto
Natura: Preprint
Pubblicazione: 2025
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author Gahlawat, Aditya
Aboudonia, Ahmed
Banik, Sandeep
Hovakimyan, Naira
Matni, Nikolai
Ames, Aaron D.
Zardini, Gioele
Speranzon, Alberto
author_facet Gahlawat, Aditya
Aboudonia, Ahmed
Banik, Sandeep
Hovakimyan, Naira
Matni, Nikolai
Ames, Aaron D.
Zardini, Gioele
Speranzon, Alberto
contents Imitation learning (IL) enables autonomous behavior by learning from expert demonstrations. While more sample-efficient than comparative alternatives like reinforcement learning, IL is sensitive to compounding errors induced by distribution shifts. There are two significant sources of distribution shifts when using IL-based feedback laws on systems: distribution shifts caused by policy error and distribution shifts due to exogenous disturbances and endogenous model errors due to lack of learning. Our previously developed approaches, Taylor Series Imitation Learning (TaSIL) and $\mathcal{L}_1$ -Distributionally Robust Adaptive Control (\ellonedrac), address the challenge of distribution shifts in complementary ways. While TaSIL offers robustness against policy error-induced distribution shifts, \ellonedrac offers robustness against distribution shifts due to aleatoric and epistemic uncertainties. To enable certifiable IL for learned and/or uncertain dynamical systems, we formulate \textit{Distributionally Robust Imitation Policy (DRIP)} architecture, a Layered Control Architecture (LCA) that integrates TaSIL and~\ellonedrac. By judiciously designing individual layer-centric input and output requirements, we show how we can guarantee certificates for the entire control pipeline. Our solution paves the path for designing fully certifiable autonomy pipelines, by integrating learning-based components, such as perception, with certifiable model-based decision-making through the proposed LCA approach.
format Preprint
id arxiv_https___arxiv_org_abs_2512_17899
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Distributionally Robust Imitation Learning: Layered Control Architecture for Certifiable Autonomy
Gahlawat, Aditya
Aboudonia, Ahmed
Banik, Sandeep
Hovakimyan, Naira
Matni, Nikolai
Ames, Aaron D.
Zardini, Gioele
Speranzon, Alberto
Systems and Control
Machine Learning
Imitation learning (IL) enables autonomous behavior by learning from expert demonstrations. While more sample-efficient than comparative alternatives like reinforcement learning, IL is sensitive to compounding errors induced by distribution shifts. There are two significant sources of distribution shifts when using IL-based feedback laws on systems: distribution shifts caused by policy error and distribution shifts due to exogenous disturbances and endogenous model errors due to lack of learning. Our previously developed approaches, Taylor Series Imitation Learning (TaSIL) and $\mathcal{L}_1$ -Distributionally Robust Adaptive Control (\ellonedrac), address the challenge of distribution shifts in complementary ways. While TaSIL offers robustness against policy error-induced distribution shifts, \ellonedrac offers robustness against distribution shifts due to aleatoric and epistemic uncertainties. To enable certifiable IL for learned and/or uncertain dynamical systems, we formulate \textit{Distributionally Robust Imitation Policy (DRIP)} architecture, a Layered Control Architecture (LCA) that integrates TaSIL and~\ellonedrac. By judiciously designing individual layer-centric input and output requirements, we show how we can guarantee certificates for the entire control pipeline. Our solution paves the path for designing fully certifiable autonomy pipelines, by integrating learning-based components, such as perception, with certifiable model-based decision-making through the proposed LCA approach.
title Distributionally Robust Imitation Learning: Layered Control Architecture for Certifiable Autonomy
topic Systems and Control
Machine Learning
url https://arxiv.org/abs/2512.17899