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Main Authors: Raja, Golnaz, Agishev, Ruslan, Prágr, Miloš, Pajarinen, Joni, Zimmermann, Karel, Singh, Arun Kumar, Ghabcheloo, Reza
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2510.19364
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author Raja, Golnaz
Agishev, Ruslan
Prágr, Miloš
Pajarinen, Joni
Zimmermann, Karel
Singh, Arun Kumar
Ghabcheloo, Reza
author_facet Raja, Golnaz
Agishev, Ruslan
Prágr, Miloš
Pajarinen, Joni
Zimmermann, Karel
Singh, Arun Kumar
Ghabcheloo, Reza
contents Uncertainty-aware robot motion prediction is crucial for downstream traversability estimation and safe autonomous navigation in unstructured, off-road environments, where terrain is heterogeneous and perceptual uncertainty is high. Most existing methods assume deterministic or spatially independent terrain uncertainties, ignoring the inherent local correlations of 3D spatial data and often producing unreliable predictions. In this work, we introduce an efficient probabilistic framework that explicitly models spatially correlated aleatoric uncertainty over terrain parameters as a probabilistic world model and propagates this uncertainty through a differentiable physics engine for probabilistic trajectory forecasting. By leveraging structured convolutional operators, our approach provides high-resolution multivariate predictions at manageable computational cost. Experimental evaluation on a publicly available dataset shows significantly improved uncertainty estimation and trajectory prediction accuracy over aleatoric uncertainty estimation baselines.
format Preprint
id arxiv_https___arxiv_org_abs_2510_19364
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle ProTerrain: Probabilistic Physics-Informed Rough Terrain World Modeling
Raja, Golnaz
Agishev, Ruslan
Prágr, Miloš
Pajarinen, Joni
Zimmermann, Karel
Singh, Arun Kumar
Ghabcheloo, Reza
Robotics
Uncertainty-aware robot motion prediction is crucial for downstream traversability estimation and safe autonomous navigation in unstructured, off-road environments, where terrain is heterogeneous and perceptual uncertainty is high. Most existing methods assume deterministic or spatially independent terrain uncertainties, ignoring the inherent local correlations of 3D spatial data and often producing unreliable predictions. In this work, we introduce an efficient probabilistic framework that explicitly models spatially correlated aleatoric uncertainty over terrain parameters as a probabilistic world model and propagates this uncertainty through a differentiable physics engine for probabilistic trajectory forecasting. By leveraging structured convolutional operators, our approach provides high-resolution multivariate predictions at manageable computational cost. Experimental evaluation on a publicly available dataset shows significantly improved uncertainty estimation and trajectory prediction accuracy over aleatoric uncertainty estimation baselines.
title ProTerrain: Probabilistic Physics-Informed Rough Terrain World Modeling
topic Robotics
url https://arxiv.org/abs/2510.19364