تقرير
Trajectory analysis through entropy characterization over coded representation
| العنوان: | Trajectory analysis through entropy characterization over coded representation |
|---|---|
| المؤلفون: | Peña-Mendieta, Roxana, Mesa-Rodríguez, Ania, Estevez-Rams, Ernesto, Estevez-Moya, Daniel, Kunka, Danays |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics Physics (Other) |
| مصطلحات موضوعية: | Physics - Data Analysis, Statistics and Probability, Computer Science - Information Theory |
| الوصف: | 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. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2405.03693 |
| رقم الأكسشن: | edsarx.2405.03693 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |