发布求助
文献互助 智能选刊 最新文献

International Journal of Data Science in the Mathematical Sciences最新文献

筛选
英文 中文
New Calabi-Yau Manifolds from Genetic Algorithms 来自遗传算法的新卡拉比-尤（Calabi-Yau）流形
International Journal of Data Science in the Mathematical Sciences Pub Date : 2024-04-05 DOI: 10.1142/s2810939224400069
Elli Heyes
{"title":"New Calabi-Yau Manifolds from Genetic Algorithms","authors":"Elli Heyes","doi":"10.1142/s2810939224400069","DOIUrl":"https://doi.org/10.1142/s2810939224400069","url":null,"abstract":"","PeriodicalId":476281,"journal":{"name":"International Journal of Data Science in the Mathematical Sciences","volume":"50 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140739440","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Predicting root numbers with neural networks 用神经网络预测根号
International Journal of Data Science in the Mathematical Sciences Pub Date : 2024-02-14 DOI: 10.1142/s2810939224400057
Alexey Pozdnyakov
{"title":"Predicting root numbers with neural networks","authors":"Alexey Pozdnyakov","doi":"10.1142/s2810939224400057","DOIUrl":"https://doi.org/10.1142/s2810939224400057","url":null,"abstract":"We report on two machine learning experiments in search of statistical relationships between Dirichlet coefficients and root numbers or analytic ranks of certain low-degree $L$-functions. The first experiment is to construct interpretable models based on murmurations, a recently discovered correlation between Dirichlet coefficients and root numbers. We show experimentally that these models achieve high accuracy by learning a combination of Mestre-Nagao type heuristics and murmurations, noting that the relative importance of these features varies with degree. The second experiment is to search for a low-complexity statistic of Dirichlet coefficients that can be used to predict root numbers in polynomial time. We give experimental evidence and provide heuristics that suggest this can not be done with standard machine learning techniques.","PeriodicalId":476281,"journal":{"name":"International Journal of Data Science in the Mathematical Sciences","volume":"123 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140456954","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Calabi-Yau Links and Machine Learning Calabi-Yau 链接与机器学习
International Journal of Data Science in the Mathematical Sciences Pub Date : 2024-01-21 DOI: 10.1142/s281093922440001x
Edward Hirst
{"title":"Calabi-Yau Links and Machine Learning","authors":"Edward Hirst","doi":"10.1142/s281093922440001x","DOIUrl":"https://doi.org/10.1142/s281093922440001x","url":null,"abstract":"Calabi-Yau links are specific $S^1$-fibrations over Calabi-Yau manifolds, when the link is 7-dimensional they exhibit both Sasakian and G2 structures. In this invited contribution to the DANGER proceedings, previous work exhaustively computing Calabi-Yau links and selected topological properties is summarised. Machine learning of these properties inspires new conjectures about their computation, as well as the respective Gr\"obner bases.","PeriodicalId":476281,"journal":{"name":"International Journal of Data Science in the Mathematical Sciences","volume":"117 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140501199","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
0
×
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
请完成安全验证×
相关产品
×
本文献相关产品
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 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：604180095
Book学术官方微信
小红书