This work presents an extension of the statistical jump model that incorporates uncertainty estimation in cluster assignments. Leveraging the similarities between statistical jump models and the fuzzy c-means framework, our fuzzy jump model sequentially estimates time-varying state probabilities. Our approach offers high flexibility, enabling clustering of mixed-type data. We apply it to the identification of co-orbital dynamics in the three-body problem, a novel application within the machine learning framework, yet highly relevant for understanding asteroid behavior and designing trajectories for interplanetary missions.

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Fuzzy Jump Model for Asteroids Co-orbital Regimes Identification

  • Federico P. Cortese,
  • Antonio Pievatolo,
  • Elisa Maria Alessi

摘要

This work presents an extension of the statistical jump model that incorporates uncertainty estimation in cluster assignments. Leveraging the similarities between statistical jump models and the fuzzy c-means framework, our fuzzy jump model sequentially estimates time-varying state probabilities. Our approach offers high flexibility, enabling clustering of mixed-type data. We apply it to the identification of co-orbital dynamics in the three-body problem, a novel application within the machine learning framework, yet highly relevant for understanding asteroid behavior and designing trajectories for interplanetary missions.