Fuzzy logic for reconstructing arbitrary moments of multiplicity distributions

Anar Rustamov
{"title":"Fuzzy logic for reconstructing arbitrary moments of multiplicity distributions","authors":"Anar Rustamov","doi":"arxiv-2409.09814","DOIUrl":null,"url":null,"abstract":"The Identity Method is a statistical technique developed to reconstruct\nmoments of multiplicity distributions of particles produced in high-energy\nnuclear collisions. The method leverages principles from fuzzy logic, allowing\nfor a more nuanced representation of particle identification by assigning\ndegrees of membership to different particle types based on detector signals. In\nthis contribution, a mathematical framework, based on a multivariate moment\ngeneration function, is developed that allows the derivation of the formulas\nused in the Identity Method in a more robust way. Moreover, within the\nintroduced framework, the Identity Method is easily extended to cope with\narbitrarily higher-order moments. The techniques developed here offer\nsignificant potential for improving the accuracy of multiplicity distribution\nanalyses in high-energy nuclear collisions. While the primary focus of the work\npresented is on applications in high-energy and nuclear physics, it can also be\napplied in other areas where signal identification is probabilistic and data\nare noisy, such as medical imaging, remote sensing, and various other fields of\nexperimental science.","PeriodicalId":501573,"journal":{"name":"arXiv - PHYS - Nuclear Theory","volume":"54 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Nuclear Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.09814","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

Abstract

The Identity Method is a statistical technique developed to reconstruct moments of multiplicity distributions of particles produced in high-energy nuclear collisions. The method leverages principles from fuzzy logic, allowing for a more nuanced representation of particle identification by assigning degrees of membership to different particle types based on detector signals. In this contribution, a mathematical framework, based on a multivariate moment generation function, is developed that allows the derivation of the formulas used in the Identity Method in a more robust way. Moreover, within the introduced framework, the Identity Method is easily extended to cope with arbitrarily higher-order moments. The techniques developed here offer significant potential for improving the accuracy of multiplicity distribution analyses in high-energy nuclear collisions. While the primary focus of the work presented is on applications in high-energy and nuclear physics, it can also be applied in other areas where signal identification is probabilistic and data are noisy, such as medical imaging, remote sensing, and various other fields of experimental science.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
重构多重性分布任意矩的模糊逻辑
同一性方法是一种统计技术,用于重建高能核碰撞中产生的粒子的倍率分布矩。该方法利用模糊逻辑原理,根据探测器信号为不同粒子类型分配成员度,从而更细致地表示粒子识别。在这一贡献中,基于多变量矩生成函数开发了一个数学框架,从而能够以更稳健的方式推导出 "同一性方法 "中使用的公式。此外,在引入的框架内,同一性方法很容易扩展,以应对任意的高阶矩。本文所开发的技术为提高高能核碰撞中倍率分布分析的准确性提供了巨大的潜力。虽然本文介绍的主要是高能物理和核物理中的应用,但它也可以应用于信号识别是概率性的和数据有噪声的其他领域,如医学成像、遥感和其他各种实验科学领域。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
Quark saturation in the QCD phase diagram Quantum Magic and Multi-Partite Entanglement in the Structure of Nuclei Optimization of Nuclear Mass Models Using Algorithms and Neural Networks Far-from-equilibrium attractors with Full Relativistic Boltzmann approach in 3+1 D: moments of distribution function and anisotropic flows $v_n$ Photo-nuclear reaction rates of $^{157,159}$Ho and $^{163,165}$Tm and their impact in the $γ$--process
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1