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A Single-Stage Spectrum-Domain Network for Trajectory Prediction

Beihao Xia, Qinmu Peng, Xinge You

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Key figure (auto-extracted from paper)
S3-Net integrates low- and high-frequency trajectory dynamics via a bilinear fusion module in a single-stage spectrum-domain framework, delivering state-of-the-art accuracy with compact size and low latency.
Trajectory prediction Spectrum-domain Bilinear fusion Single-stage network Frequency analysis Real-time prediction

Problem

Existing spectrum-domain trajectory prediction methods process low- and high-frequency components independently, missing their complementary dynamics, while two-stage approaches suffer from error propagation and high computational latency.

Approach

S3-Net decomposes observed trajectories into frequency spectra using a Discrete Fourier Transform, then applies a bilinear fusion module to explicitly model cross-interactions between global trends and local variations before decoding future paths.

Key results

  • Up to 16.8%/15.1% ADE/FDE reduction over single-stage spectrum baselines on SDD
  • Top-two performance across multiple ETH-UCY subsets
  • Compact model size and low inference latency for real-time use
  • Bilinear fusion consistently boosts accuracy on ETH-UCY and SDD

Why it matters

Provides a highly efficient and accurate prediction framework suitable for real-time deployment in autonomous driving, robot navigation, and multi-agent systems.

Abstract

Trajectory prediction is a fundamental yet chal- lenging task in intelligent systems. Existing methods are mainly categorized as single-stage time-domain, two-stage time-domain, or two-stage spectrum-domain approaches, while single-stage spectrum-domain methods have been relatively underexplored. In the frequency domain, low-frequency components reflect global motion trends, while high-frequency components capture fine-grained local variations. Most existing spectrum-domain approaches process these components independently, overlook- ing their intrinsic complementarity. Inspired by the success of bilinear models in explicitly capturing cross-factor interactions, we propose S3-Net, a single-stage spectrum-domain trajectory prediction network with a bilinear fusion module that integrates low- and high-frequency dynamics. This design yields richer spectral representations and enables accurate, socially compli- ant, and multimodal predictions. Experiments on the ETH-UCY and Stanford Drone Datasets demonstrate that S3-Net achieves up to 16.8%/15.1% ADE/FDE reduction over spectrum-domain baselines while maintaining a compact model size and low inference latency, making it suitable for real-time scenarios.

Index terms

Intelligent Transportation Systems

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