Bell correlations outside physics

2023
journal article
article
5
cris.lastimport.wos2024-04-09T23:54:34Z
dc.abstract.enCorrelations are ubiquitous in nature and their principled study is of paramount importance in scientific development. The seminal contributions from John Bell offer a framework for analyzing the correlations between the components of quantum mechanical systems and have instigated an experimental tradition which has recently culminated with the Nobel Prize in Physics (2022). In physics, Bell’s framework allows the demonstration of the non-classical nature of quantum systems just from the analysis of the observed correlation patterns. Bell’s ideas need not be restricted to physics. Our contribution is to show an example of a Bell approach, based on the insight that correlations can be broken down into a part due to common, ostensibly significant causes, and a part due to noise. We employ data from finance (price changes of securities) as an example to demonstrate our approach, highlighting several general applications: first, we demonstrate a new measure of association, informed by the assumed causal relationship between variables. Second, our framework can lead to streamlined Bell-type tests of widely employed models of association, which are in principle applicable to any discipline. In the area of finance, such models of association are Factor Models and the bivariate Gaussian model. Overall, we show that Bell’s approach and the models we consider are applicable as general statistical techniques, without any domain specificity. We hope that our work will pave the way for extending our general understanding for how the structure of associations can be analyzed.pl
dc.affiliationWydział Zarządzania i Komunikacji Społecznej : Instytut Psychologii Stosowanejpl
dc.contributor.authorGallus, Christophpl
dc.contributor.authorPothos, Emmanuel M.pl
dc.contributor.authorBłasiak, P.pl
dc.contributor.authorYearsley, James M.pl
dc.contributor.authorWojciechowski, Bartosz - 411169 pl
dc.date.accession2023-04-03pl
dc.date.accessioned2023-04-06T14:48:08Z
dc.date.available2023-04-06T14:48:08Z
dc.date.issued2023pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.publication0,8pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume13pl
dc.identifier.articleid4394pl
dc.identifier.doi10.1038/s41598-023-31441-xpl
dc.identifier.eissn2045-2322pl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/310029
dc.identifier.weblinkhttps://www.nature.com/articles/s41598-023-31441-x.pdfpl
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/legalcode.pl*
dc.share.typeotwarte czasopismo
dc.subtypeArticlepl
dc.titleBell correlations outside physicspl
dc.title.journalScientific Reportspl
dc.typeJournalArticlepl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-09T23:54:34Z
dc.abstract.enpl
Correlations are ubiquitous in nature and their principled study is of paramount importance in scientific development. The seminal contributions from John Bell offer a framework for analyzing the correlations between the components of quantum mechanical systems and have instigated an experimental tradition which has recently culminated with the Nobel Prize in Physics (2022). In physics, Bell’s framework allows the demonstration of the non-classical nature of quantum systems just from the analysis of the observed correlation patterns. Bell’s ideas need not be restricted to physics. Our contribution is to show an example of a Bell approach, based on the insight that correlations can be broken down into a part due to common, ostensibly significant causes, and a part due to noise. We employ data from finance (price changes of securities) as an example to demonstrate our approach, highlighting several general applications: first, we demonstrate a new measure of association, informed by the assumed causal relationship between variables. Second, our framework can lead to streamlined Bell-type tests of widely employed models of association, which are in principle applicable to any discipline. In the area of finance, such models of association are Factor Models and the bivariate Gaussian model. Overall, we show that Bell’s approach and the models we consider are applicable as general statistical techniques, without any domain specificity. We hope that our work will pave the way for extending our general understanding for how the structure of associations can be analyzed.
dc.affiliationpl
Wydział Zarządzania i Komunikacji Społecznej : Instytut Psychologii Stosowanej
dc.contributor.authorpl
Gallus, Christoph
dc.contributor.authorpl
Pothos, Emmanuel M.
dc.contributor.authorpl
Błasiak, P.
dc.contributor.authorpl
Yearsley, James M.
dc.contributor.authorpl
Wojciechowski, Bartosz - 411169
dc.date.accessionpl
2023-04-03
dc.date.accessioned
2023-04-06T14:48:08Z
dc.date.available
2023-04-06T14:48:08Z
dc.date.issuedpl
2023
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.publicationpl
0,8
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
13
dc.identifier.articleidpl
4394
dc.identifier.doipl
10.1038/s41598-023-31441-x
dc.identifier.eissnpl
2045-2322
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/310029
dc.identifier.weblinkpl
https://www.nature.com/articles/s41598-023-31441-x.pdf
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
dc.rights.licence
CC-BY
dc.rights.uri*
http://creativecommons.org/licenses/by/4.0/legalcode.pl
dc.share.type
otwarte czasopismo
dc.subtypepl
Article
dc.titlepl
Bell correlations outside physics
dc.title.journalpl
Scientific Reports
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations

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