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Autori principali: Chen, Y. Deemo, Zimmermann, Arion, Berrueta, Thomas A., Chung, Soon-Jo
Natura: Preprint
Pubblicazione: 2026
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Accesso online:https://arxiv.org/abs/2602.21366
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author Chen, Y. Deemo
Zimmermann, Arion
Berrueta, Thomas A.
Chung, Soon-Jo
author_facet Chen, Y. Deemo
Zimmermann, Arion
Berrueta, Thomas A.
Chung, Soon-Jo
contents Ensuring accurate and stable state estimation is a challenging task crucial to safety-critical domains such as high-speed autonomous racing, where measurement uncertainty must be both adaptive to the environment and temporally smooth for control. In this work, we develop a learning-based framework, LACE, capable of directly modeling the temporal dynamics of GNSS measurement covariance. We model the covariance evolution as an exponentially stable dynamical system where a deep neural network (DNN) learns to predict the system's process noise from environmental features through an attention mechanism. By using contraction-based stability and systematically imposing spectral constraints, we formally provide guarantees of exponential stability and smoothness for the resulting covariance dynamics. We validate our approach on an AV-24 autonomous racecar, demonstrating improved localization performance and smoother covariance estimates in challenging, GNSS-degraded environments. Our results highlight the promise of dynamically modeling the perceived uncertainty in state estimation problems that are tightly coupled with control sensitivity.
format Preprint
id arxiv_https___arxiv_org_abs_2602_21366
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Environment-Aware Learning of Smooth GNSS Covariance Dynamics for Autonomous Racing
Chen, Y. Deemo
Zimmermann, Arion
Berrueta, Thomas A.
Chung, Soon-Jo
Robotics
Ensuring accurate and stable state estimation is a challenging task crucial to safety-critical domains such as high-speed autonomous racing, where measurement uncertainty must be both adaptive to the environment and temporally smooth for control. In this work, we develop a learning-based framework, LACE, capable of directly modeling the temporal dynamics of GNSS measurement covariance. We model the covariance evolution as an exponentially stable dynamical system where a deep neural network (DNN) learns to predict the system's process noise from environmental features through an attention mechanism. By using contraction-based stability and systematically imposing spectral constraints, we formally provide guarantees of exponential stability and smoothness for the resulting covariance dynamics. We validate our approach on an AV-24 autonomous racecar, demonstrating improved localization performance and smoother covariance estimates in challenging, GNSS-degraded environments. Our results highlight the promise of dynamically modeling the perceived uncertainty in state estimation problems that are tightly coupled with control sensitivity.
title Environment-Aware Learning of Smooth GNSS Covariance Dynamics for Autonomous Racing
topic Robotics
url https://arxiv.org/abs/2602.21366