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Application of Principal Component Analysis to Establish a Proper Basis for Flow Studies in Heavy-Ion Collisions. / Altsybeev, I.

в: Physics of Particles and Nuclei, Том 51, № 3, 01.05.2020, стр. 314-318.

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@article{5ace90411dd34df3a486a1b56e9afd5b,
title = "Application of Principal Component Analysis to Establish a Proper Basis for Flow Studies in Heavy-Ion Collisions",
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.",
author = "I. Altsybeev",
note = "Altsybeev, I. Application of Principal Component Analysis to Establish a Proper Basis for Flow Studies in Heavy-Ion Collisions. Phys. Part. Nuclei 51, 314–318 (2020). https://doi.org/10.1134/S1063779620030028",
year = "2020",
month = may,
day = "1",
doi = "10.1134/S1063779620030028",
language = "English",
volume = "51",
pages = "314--318",
journal = "Physics of Particles and Nuclei",
issn = "1063-7796",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "3",

}

RIS

TY - JOUR

T1 - Application of Principal Component Analysis to Establish a Proper Basis for Flow Studies in Heavy-Ion Collisions

AU - Altsybeev, I.

N1 - Altsybeev, I. Application of Principal Component Analysis to Establish a Proper Basis for Flow Studies in Heavy-Ion Collisions. Phys. Part. Nuclei 51, 314–318 (2020). https://doi.org/10.1134/S1063779620030028

PY - 2020/5/1

Y1 - 2020/5/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85084987888&partnerID=8YFLogxK

U2 - 10.1134/S1063779620030028

DO - 10.1134/S1063779620030028

M3 - Article

AN - SCOPUS:85084987888

VL - 51

SP - 314

EP - 318

JO - Physics of Particles and Nuclei

JF - Physics of Particles and Nuclei

SN - 1063-7796

IS - 3

ER -

ID: 62721961