Trajectory analysis through entropy characterization over coded representation
<|reference_start|>Trajectory analysis through entropy characterization over coded representation: Any continuous curve in a higher dimensional space can be considered a trajectory that can be parameterized by a single variable, usually taken as time. It is well known that a continuous curve can have a fractional dimensionality, which can be estimated using already standard algorithms. However, characterizing a trajectory from an entropic perspective is far less developed. The search for such characterization leads us to use chain coding to discretize the description of a curve. Calculating the entropy density and entropy-related magnitudes from the resulting finite alphabet code becomes straightforward. In such a way, the entropy of a trajectory can be defined and used as an effective tool to assert creativity and pattern formation from a Shannon perspective. Applying the procedure to actual experimental physiological data and modelled trajectories of astronomical dynamics proved the robustness of the entropic characterization in a wealth of trajectories of different origins and the insight that can be gained from its use.<|reference_end|>
@article{peña-mendieta2024trajectory,
    title={Trajectory analysis through entropy characterization over coded
  representation},
    author={Roxana Pe~na-Mendieta and Ania Mesa-Rodr'iguez and Ernesto
  Estevez-Rams and Daniel Estevez-Moya and Danays Kunka},
    journal={arXiv preprint arXiv:2405.03693},
    year={2024},
    archivePrefix={arXiv},
    eprint={2405.03693},
    primaryClass={physics.data-an cs.IT math.IT}
}