Application of Principal Component Analysis to establish proper basis for flow studies in heavy-ion collisions
arXiv:1909.03979 · doi:10.1134/S1063779620030028
Abstract
It is shown that Principal Component Analysis (PCA) applied to event-by-event single-particle distributions in A-A collisions allows establishing the most optimal basis for anisotropic flow studies from data itself, in contrast to manual selection of the basis functions. PCA coefficients for azimuthal particle distributions are identical to Fourier coefficients from a conventional analysis techniques. PCA applied in longitudinal dimension reveals optimal basis that is similar to Legendre polynomial series. Analysis in both dimensions simultaneously allows studying the coupling of the longitudinal structure of events with the azimuthal anisotropy of particle emission.
arXiv comment7 pages, 6 figures. Presented at WPCF-2019
References in corpus (7)
- A Multi-Phase Transport Model for Relativistic Heavy Ion Collisions
- Principal component analysis of event-by-event fluctuations
- Longitudinal fluctuations of the fireball density in heavy-ion collisions
- Forward-backward multiplicity fluctuation and longitudinal harmonics in high-energy nuclear collisions
- A method for studying the rapidity fluctuation and decorrelation of harmonic flow in heavy-ion collisions
- Methods for analysis of two-particle rapidity correlation function in high-energy heavy-ion collisions
- New measures of longitudinal decorrelation of harmonic flow