2021/09/30 by F. K. Diakonos, F. Κ. Diakonos, A. S. Kapoyannis
Mathematics · Physics and Astronomy · #Algorithm #Artificial intelligence #Combinatorics #Computation #Computer science #Correlation #Dimension (graph theory) #Embedding #Geometry #Mathematics #Particle physics theoretical and experimental studies #Quantum chaos and dynamical systems #Theoretical and Computational Physics #hep-ph #nlin.CD #nucl-th #physics.comp-ph
paper · pdf · doi:10.1140/epjc/s10052-022-10098-2
published as Eur. Phys. J. C (2022) 82:200 · 30 pages, 15 figures, accompanied by source program code in FORTRAN 90 (also in txt form). Revised version
openalex publication_date 2022/03/01 · arxiv created 2022/03/08 · arxiv updated 2022/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We develop a mapping between the factorial moments of the second order F2 and the correlation integral C. We formulate a fast computation technique for the evaluation of both, which is more efficient, compared to conventional methods, for data containing number of pairs per event which is lower than the estimation points. We find the effectiveness of the technique to be more prominent as the dimension of the embedding space increases. We are able to analyse large amount of data in short computation time and access very low scales in C or extremely high partitions in F2. The technique is an indispensable tool for detecting a very weak signal hidden in strong noise.