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Trajectory Data Analyses for Pedestrian Space-time Activity Study
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Probabilistic Bayesian learning with long-tail awareness for trajectory-user linking.

Haolun Ding1, Zhengwen Fu2, Rong Zhang2

  • 1Engineering Research Center of Intelligent Finance, Ministry of Education, Southwestern University of Finance and Economics, Chengdu, China.

Neural Networks : the Official Journal of the International Neural Network Society
|November 7, 2025
PubMed
Summary
This summary is machine-generated.

This study introduces LongTUL, a new method for linking user trajectories in location-based social networks. It effectively addresses the long tail phenomenon, improving accuracy for less active users.

Keywords:
Check-in dataHuman mobilityLong tailProbabilistic learningTrajectory-user linking

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Area of Science:

  • GeoAI
  • Data Science
  • Machine Learning

Background:

  • Location-based social networks (LBSN) generate vast user check-in data, enabling mobility pattern analysis.
  • Trajectory-User Linking (TUL) aims to associate unlabeled trajectories with their creators, a key task in GeoAI.
  • The 'long tail phenomenon' in user check-ins, where some users have many check-ins and others very few, poses a significant challenge for TUL accuracy.

Purpose of the Study:

  • To propose a novel probabilistic Bayesian learning solution, LongTUL, to address the long tail issue in Trajectory-User Linking (TUL).
  • To improve the accurate association of unlabeled check-in trajectories with their corresponding users, particularly for less active (tail) users.

Main Methods:

  • Developed a Check-in Engagement Compromise (CEC) mechanism to balance user participation levels before training.
  • Implemented a Probabilistic Trajectory Learning (PTL) procedure using variational Bayes to encode trajectories into a latent space.
  • Applied Laplacian approximation to latent representations to mitigate amortization errors and long-tail effects.
  • Designed a reweighted classifier for equitable inference between frequent (head) and infrequent (tail) users.

Main Results:

  • The proposed LongTUL method demonstrated superior performance compared to existing TUL solutions.
  • LongTUL effectively addressed the long tail issue, significantly improving the classification accuracy for tail users.
  • Experiments on three real-world datasets validated the effectiveness of the LongTUL approach.

Conclusions:

  • LongTUL offers a robust solution for Trajectory-User Linking, particularly in datasets exhibiting the long tail phenomenon.
  • The method enhances the understanding of mobility patterns by accurately linking trajectories from all user groups.
  • This work contributes to advancing GeoAI by providing a more equitable and accurate approach to user trajectory analysis.