Temporal Convolutional Networks Reconstruct Missing Trajectory Data

Ilinca Tiriblecea, Gabriel Turinici· July 29, 2026 View original

Summary

Researchers propose a Temporal Convolutional Network (TCN) with symmetric dilation to accurately reconstruct missing segments in trajectory data, leveraging both past and future observations. The model achieves strong performance on synthetic 2D trajectories by using a composite loss function.

A new research paper introduces a method for "trajectory inpainting," which involves reconstructing missing portions of movement data. This is crucial because real-world trajectory data often suffers from gaps due to sensor malfunctions or communication issues. The proposed solution utilizes a Temporal Convolutional Network (TCN) that employs symmetric dilation, allowing it to consider both preceding and subsequent data points when filling in the gaps. This approach differs from typical forecasting models that only look backward. The TCN is trained with a specialized loss function that combines weighted mean squared error, penalties for boundary discontinuities, and a smoothness regularizer. This comprehensive training strategy helps the model generate coherent and realistic missing segments. Experiments on a synthetic dataset of two-dimensional trajectories, where 20% of segments were randomly masked, demonstrated that the model achieved good R-squared, Mean Squared Error (MSE), and Mean Absolute Error (MAE) metrics, indicating its effectiveness in accurately inferring the missing data.

Why it matters

Professionals dealing with incomplete sensor data, logistics, or autonomous systems can use this technique to improve data quality and reliability for analysis and decision-making.

How to implement this in your domain

  1. 1Evaluate existing trajectory datasets for common missing data patterns and segment lengths.
  2. 2Integrate TCN-based inpainting models into data preprocessing pipelines for sensor data.
  3. 3Customize the composite loss function to prioritize specific aspects like smoothness or boundary continuity relevant to your application.
  4. 4Validate the reconstructed trajectories against ground truth or expert knowledge to ensure accuracy and physical plausibility.

Who benefits

LogisticsAutonomous VehiclesSports AnalyticsHealthcare

Key takeaways

  • A new TCN model effectively reconstructs missing trajectory data using symmetric dilation.
  • The model considers both past and future observations, crucial for inpainting tasks.
  • A composite loss function enhances accuracy and smoothness of reconstructed segments.
  • This research offers a robust solution for handling incomplete real-world sensor data.

Original post by Ilinca Tiriblecea, Gabriel Turinici

"arXiv:2607.25147v1 Announce Type: new Abstract: Trajectory data collected in real-world settings is frequently incomplete due to sensor failure, communication loss, or occlusion. We address the task of \emph{trajectory inpainting}: reconstructing contiguous missing segments from…"

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Originally posted by Ilinca Tiriblecea, Gabriel Turinici on X · view source

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