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Autori principali: Wang, Xinyi, Kim, Taekyung, Hoxha, Bardh, Fainekos, Georgios, Panagou, Dimitra
Natura: Preprint
Pubblicazione: 2026
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Accesso online:https://arxiv.org/abs/2605.21257
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author Wang, Xinyi
Kim, Taekyung
Hoxha, Bardh
Fainekos, Georgios
Panagou, Dimitra
author_facet Wang, Xinyi
Kim, Taekyung
Hoxha, Bardh
Fainekos, Georgios
Panagou, Dimitra
contents Planning through crowded environments under uncertain obstacle motions remains difficult, as stochastic interactions often induce overly conservative behavior or reduced efficiency. To address this challenge, we propose an end-to-end risk adaptation framework for crowd navigation under obstacle-motion uncertainty modeled by a Gaussian mixture model. The framework combines reinforcement learning~(RL) with a differentiable quadratic-program safety layer based on Conditional Value-at-Risk~(CVaR) barrier functions, jointly learning nominal control input, risk level, and safety margin and enforcing explicit probabilistic safety constraints. This design enables context-aware adaptation, promoting efficient behavior while invoking caution only when necessary. We conduct extensive evaluations in dynamic, uncertain, and crowded environments across varying obstacle densities and robot models, and further assess generalization under three out-of-distribution cases. Comparisons across optimization-based, RL-based, and integrated RL and optimization methods are provided, and the proposed method is shown to deliver the strongest overall performance in safety, efficiency, and generalization under uncertainty.
format Preprint
id arxiv_https___arxiv_org_abs_2605_21257
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Reinforcement Learning for Risk Adaptation via Differentiable CVaR Barrier Functions
Wang, Xinyi
Kim, Taekyung
Hoxha, Bardh
Fainekos, Georgios
Panagou, Dimitra
Robotics
Planning through crowded environments under uncertain obstacle motions remains difficult, as stochastic interactions often induce overly conservative behavior or reduced efficiency. To address this challenge, we propose an end-to-end risk adaptation framework for crowd navigation under obstacle-motion uncertainty modeled by a Gaussian mixture model. The framework combines reinforcement learning~(RL) with a differentiable quadratic-program safety layer based on Conditional Value-at-Risk~(CVaR) barrier functions, jointly learning nominal control input, risk level, and safety margin and enforcing explicit probabilistic safety constraints. This design enables context-aware adaptation, promoting efficient behavior while invoking caution only when necessary. We conduct extensive evaluations in dynamic, uncertain, and crowded environments across varying obstacle densities and robot models, and further assess generalization under three out-of-distribution cases. Comparisons across optimization-based, RL-based, and integrated RL and optimization methods are provided, and the proposed method is shown to deliver the strongest overall performance in safety, efficiency, and generalization under uncertainty.
title Reinforcement Learning for Risk Adaptation via Differentiable CVaR Barrier Functions
topic Robotics
url https://arxiv.org/abs/2605.21257