{"title":"Spherical random projection","authors":"Seungwoo Kang, Hee-Seok Oh","doi":"10.1093/jrsssb/qkae035","DOIUrl":"https://doi.org/10.1093/jrsssb/qkae035","url":null,"abstract":"\u0000 We propose a new method for dimension reduction of high-dimensional spherical data based on the nonlinear projection of sphere-valued data to a randomly chosen subsphere. The proposed method, spherical random projection, leads to a probabilistic lower-dimensional mapping of spherical data into a subsphere of the original. In this paper, we investigate some properties of spherical random projection, including expectation preservation and distance concentration, from which we derive an analogue of the Johnson–Lindenstrauss Lemma for spherical random projection. Clustering model selection is discussed as an application of spherical random projection, and numerical experiments are conducted using real and simulated data.","PeriodicalId":506057,"journal":{"name":"Journal of the Royal Statistical Society Series B: Statistical Methodology","volume":"186 Erratum","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140722960","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}
{"title":"Correction to: Ruodu Wang's contribution to the Discussion of ‘Estimating means of bounded random variables by betting’ by Waudby-Smith and Ramdas","authors":"","doi":"10.1093/jrsssb/qkae028","DOIUrl":"https://doi.org/10.1093/jrsssb/qkae028","url":null,"abstract":"","PeriodicalId":506057,"journal":{"name":"Journal of the Royal Statistical Society Series B: Statistical Methodology","volume":"162 2‐3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140247225","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}
{"title":"Testing high-dimensional multinomials with applications to text analysis","authors":"T. T. Cai, Zheng T Ke, Paxton Turner","doi":"10.1093/jrsssb/qkae003","DOIUrl":"https://doi.org/10.1093/jrsssb/qkae003","url":null,"abstract":"\u0000 Motivated by applications in text mining and discrete distribution inference, we test for equality of probability mass functions of K groups of high-dimensional multinomial distributions. Special cases of this problem include global testing for topic models, two-sample testing in authorship attribution, and closeness testing for discrete distributions. A test statistic, which is shown to have an asymptotic standard normal distribution under the null hypothesis, is proposed. This parameter-free limiting null distribution holds true without requiring identical multinomial parameters within each group or equal group sizes. The optimal detection boundary for this testing problem is established, and the proposed test is shown to achieve this optimal detection boundary across the entire parameter space of interest. The proposed method is demonstrated in simulation studies and applied to analyse two real-world datasets to examine, respectively, variation among customer reviews of Amazon movies and the diversity of statistical paper abstracts.","PeriodicalId":506057,"journal":{"name":"Journal of the Royal Statistical Society Series B: Statistical Methodology","volume":"25 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140419095","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}
{"title":"Thomas S. Richardson and James M. Robins’ contribution to the Discussion of ‘Parameterizing and Simulating from Causal Models’ by Evans and Didelez’","authors":"T. S. Richardson, J. M. Robins","doi":"10.1093/jrsssb/qkae020","DOIUrl":"https://doi.org/10.1093/jrsssb/qkae020","url":null,"abstract":"","PeriodicalId":506057,"journal":{"name":"Journal of the Royal Statistical Society Series B: Statistical Methodology","volume":"4 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139957478","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}
{"title":"Proposer of the vote of thanks to Evans & Didelez and contribution to the Discussion of ‘Parameterizing and Simulating from Causal Models’","authors":"Shaun Seaman","doi":"10.1093/jrsssb/qkae015","DOIUrl":"https://doi.org/10.1093/jrsssb/qkae015","url":null,"abstract":"","PeriodicalId":506057,"journal":{"name":"Journal of the Royal Statistical Society Series B: Statistical Methodology","volume":"70 14","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139960124","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}
{"title":"Rajendra Bhansali’s contribution to the Discussion of ‘Parameterizing and Simulating from Causal Models’ by Evans and Didelez’","authors":"Rajendra Bhansali","doi":"10.1093/jrsssb/qkae014","DOIUrl":"https://doi.org/10.1093/jrsssb/qkae014","url":null,"abstract":"","PeriodicalId":506057,"journal":{"name":"Journal of the Royal Statistical Society Series B: Statistical Methodology","volume":"46 40","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139961442","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}
{"title":"Gregor Steiner and Mark Steel’s contribution to the Discussion of ‘Parameterizing and Simulating from Causal Models’ by Evans and Didelez’","authors":"Gregor Steiner, Mark Steel","doi":"10.1093/jrsssb/qkae021","DOIUrl":"https://doi.org/10.1093/jrsssb/qkae021","url":null,"abstract":"","PeriodicalId":506057,"journal":{"name":"Journal of the Royal Statistical Society Series B: Statistical Methodology","volume":"34 10","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139962066","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}
{"title":"Seconder of the vote of thanks to Evans & Didelez and contribution to the Discussion of ‘Parameterizing and Simulating from Causal Models’","authors":"Ricardo Silva","doi":"10.1093/jrsssb/qkae013","DOIUrl":"https://doi.org/10.1093/jrsssb/qkae013","url":null,"abstract":"","PeriodicalId":506057,"journal":{"name":"Journal of the Royal Statistical Society Series B: Statistical Methodology","volume":"30 12","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139962242","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}
{"title":"Torben Martinussen’s contribution to the Discussion of ‘Parameterizing and Simulating from Causal Models’ by Evans and Didelez’","authors":"T. Martinussen","doi":"10.1093/jrsssb/qkae017","DOIUrl":"https://doi.org/10.1093/jrsssb/qkae017","url":null,"abstract":"","PeriodicalId":506057,"journal":{"name":"Journal of the Royal Statistical Society Series B: Statistical Methodology","volume":"8 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139962891","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}
{"title":"A Philip Dawid’s contribution to the Discussion of ‘Parameterizing and Simulating from Causal Models’ by Evans and Didelez’","authors":"A. P. Dawid","doi":"10.1093/jrsssb/qkae016","DOIUrl":"https://doi.org/10.1093/jrsssb/qkae016","url":null,"abstract":"","PeriodicalId":506057,"journal":{"name":"Journal of the Royal Statistical Society Series B: Statistical Methodology","volume":"20 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139963423","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}