Papers › View Vertically: A Hierarchical Network for Trajectory Prediction via Fourier Spectrums

View Vertically: A Hierarchical Network for Trajectory Prediction via Fourier Spectrums

14 Oct 2021arXiv:2110.07288archive 2025-07-28

Conghao Wong, Beihao Xia, Ziming Hong, Qinmu Peng, Wei Yuan, Qiong Cao, Yibo Yang, Xinge You

Understanding and forecasting future trajectories of agents are critical for behavior analysis, robot navigation, autonomous cars, and other related applications. Previous methods mostly treat trajectory prediction as time sequence generation. Different from them, this work studies agents' trajectories in a "vertical" view, i.e., modeling and forecasting trajectories from the spectral domain. Different frequency bands in the trajectory spectrums could hierarchically reflect agents' motion preferences at different scales. The low-frequency and high-frequency portions could represent their coarse motion trends and fine motion variations, respectively. Accordingly, we propose a hierarchical network V²-Net, which contains two sub-networks, to hierarchically model and predict agents' trajectories with trajectory spectrums. The coarse-level keypoints estimation sub-network first predicts the "minimal" spectrums of agents' trajectories on several "key" frequency portions. Then the fine-level spectrum interpolation sub-network interpolates the spectrums to reconstruct the final predictions. Experimental results display the competitiveness and superiority of V²-Net on both ETH-UCY benchmark and the Stanford Drone Dataset.

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cocoon2wong/Vertical officialmentioned in papermentioned on GitHubtfGPL-3.0 report

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Tasks

Decision MakingRobot NavigationSelf-Driving CarsTrajectory Prediction

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
Trajectory Prediction ETH/UCY V^2-Net ADE-8/12 0.18 #3 of 20 Archive leaderboard report
Trajectory Prediction ETH/UCY V^2-Net FDE-8/12 0.28 #3 of 20 Archive leaderboard report
Trajectory Prediction Stanford Drone V^2-Net ADE-8/12 @K = 20 7.12 #4 of 24 Archive leaderboard report
Trajectory Prediction Stanford Drone V^2-Net FDE-8/12 @K= 20 11.39 #4 of 24 Archive leaderboard report

Ranks are positions in the archive's leaderboards as they stood at the 2025-07-28 snapshot. Results published since then are not among these rows, so a rank here is not a current standing.

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