FusionForce: End-to-end Differentiable Neural-Symbolic Layer for Trajectory Prediction

Fuente: arXiv
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Main Authors: Agishev, Ruslan, Zimmermann, Karel
Format: Preprint
Published: 2025
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author Agishev, Ruslan
Zimmermann, Karel
author_facet Agishev, Ruslan
Zimmermann, Karel
contents We propose end-to-end differentiable model that predicts robot trajectories on rough offroad terrain from camera images and/or lidar point clouds. The model integrates a learnable component that predicts robot-terrain interaction forces with a neural-symbolic layer that enforces the laws of classical mechanics and consequently improves generalization on out-of-distribution data. The neural-symbolic layer includes a differentiable physics engine that computes the robot's trajectory by querying these forces at the points of contact with the terrain. As the proposed architecture comprises substantial geometrical and physics priors, the resulting model can also be seen as a learnable physics engine conditioned on real sensor data that delivers $10^4$ trajectories per second. We argue and empirically demonstrate that this architecture reduces the sim-to-real gap and mitigates out-of-distribution sensitivity. The differentiability, in conjunction with the rapid simulation speed, makes the model well-suited for various applications including model predictive control, trajectory shooting, supervised and reinforcement learning, or SLAM.
format Preprint
id arxiv_https___arxiv_org_abs_2502_10156
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle FusionForce: End-to-end Differentiable Neural-Symbolic Layer for Trajectory Prediction
Agishev, Ruslan
Zimmermann, Karel
Robotics
Computer Vision and Pattern Recognition
We propose end-to-end differentiable model that predicts robot trajectories on rough offroad terrain from camera images and/or lidar point clouds. The model integrates a learnable component that predicts robot-terrain interaction forces with a neural-symbolic layer that enforces the laws of classical mechanics and consequently improves generalization on out-of-distribution data. The neural-symbolic layer includes a differentiable physics engine that computes the robot's trajectory by querying these forces at the points of contact with the terrain. As the proposed architecture comprises substantial geometrical and physics priors, the resulting model can also be seen as a learnable physics engine conditioned on real sensor data that delivers $10^4$ trajectories per second. We argue and empirically demonstrate that this architecture reduces the sim-to-real gap and mitigates out-of-distribution sensitivity. The differentiability, in conjunction with the rapid simulation speed, makes the model well-suited for various applications including model predictive control, trajectory shooting, supervised and reinforcement learning, or SLAM.
title FusionForce: End-to-end Differentiable Neural-Symbolic Layer for Trajectory Prediction
topic Robotics
Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2502.10156