DRIFT: Diffusion-based Rule-Inferred For Trajectories

๐Ÿ“… 2026-03-01
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๐Ÿค– AI Summary
This work addresses the challenge of generating mobile robot trajectories in unstructured environments, where achieving both global smoothness and terminal precision remains difficult. The authors propose a conditional diffusion-based trajectory generation framework that uniquely integrates graph neural networkโ€“driven structured scene perception with a graph-conditioned, time-aware GRU (GTGRU). By embedding relational inductive biases and temporal attention mechanisms into the diffusion model, the approach jointly optimizes trajectory smoothness and local accuracy. Experimental results demonstrate that the method achieves a final displacement error (FDE) of 0.041 meters and a low jerk value of 27.19 in trajectory imitation tasks, producing reference trajectories that exhibit both high fidelity and execution feasibility.

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๐Ÿ“ Abstract
Trajectory generation for mobile robots in unstructured environments faces a critical dilemma: balancing kinematic smoothness for safe execution with terminal precision for fine-grained tasks. Existing generative planners often struggle with this trade-off, yielding either smooth but imprecise paths or geometrically accurate but erratic motions. To address the aforementioned shortcomings, this article proposes DRIFT (Diffusion-based Rule-Inferred for Trajectories), a conditional diffusion framework designed to generate high-fidelity reference trajectories by integrating two complementary inductive biases. First, a Relational Inductive Bias, realized via a GNN-based Structured Scene Perception (SSP) module, encodes global topological constraints to ensure holistic smoothness. Second, a Temporal Attention Bias, implemented through a novel Graph-Conditioned Time-Aware GRU (GTGRU), dynamically attends to sparse obstacles and targets for precise local maneuvering. In the end, quantitative results demonstrate that DRIFT reconciles these conflicting objectives, achieving centimeter-level imitation fidelity (0.041m FDE) and competitive smoothness (27.19 Jerk). This balance yields highly executable reference plans for downstream control.
Problem

Research questions and friction points this paper is trying to address.

trajectory generation
kinematic smoothness
terminal precision
mobile robots
unstructured environments
Innovation

Methods, ideas, or system contributions that make the work stand out.

conditional diffusion
relational inductive bias
temporal attention
graph neural network
trajectory generation
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J
Jinyang Zhao
School of Management, Ministry of Education Engineering Research Center for Intelligent Decision-Making & Information System Technologies, Hefei University of Technology, Hefei, 230009, Anhui, China
Handong Zheng
Handong Zheng
Unknown affiliation
Y
Yanjiu Zhong
School of Management, Ministry of Education Engineering Research Center for Intelligent Decision-Making & Information System Technologies, Hefei University of Technology, Hefei, 230009, Anhui, China
Q
Qiang Zhang
School of Management, Ministry of Education Engineering Research Center for Intelligent Decision-Making & Information System Technologies, Hefei University of Technology, Hefei, 230009, Anhui, China
Yu Kang
Yu Kang
University of Science Technology of China
Control
S
Shunyu Wu
Department of Automation, Shanghai Jiao Tong University, Shanghai 200240, China