Pub Date : 2023-06-16DOI: 10.1007/s40304-023-00344-8
Yi Wu, X. Deng, Mengmei Xi, Xuejun Wang
{"title":"Strong Convergence Theorems Under Sub-linear Expectations and Its Applications in Nonparametric Regression Models","authors":"Yi Wu, X. Deng, Mengmei Xi, Xuejun Wang","doi":"10.1007/s40304-023-00344-8","DOIUrl":"https://doi.org/10.1007/s40304-023-00344-8","url":null,"abstract":"","PeriodicalId":10575,"journal":{"name":"Communications in Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87624276","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-16DOI: 10.1007/s40304-023-00336-8
Jing Yang, G. Tian, Xuewen Lu, Mingqiu Wang
{"title":"Robust Model Structure Recovery for Ultra-High-Dimensional Varying-Coefficient Models","authors":"Jing Yang, G. Tian, Xuewen Lu, Mingqiu Wang","doi":"10.1007/s40304-023-00336-8","DOIUrl":"https://doi.org/10.1007/s40304-023-00336-8","url":null,"abstract":"","PeriodicalId":10575,"journal":{"name":"Communications in Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76473466","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-05-30DOI: 10.1007/s40304-022-00332-4
Wenquan Cui, Yue Zhao, Jianjun Xu, Haoyang Cheng
Federated learning has become a popular tool in the big data era nowadays. It trains a centralized model based on data from different clients while keeping data decentralized. In this paper, we propose a federated sparse sliced inverse regression algorithm for the first time. Our method can simultaneously estimate the central dimension reduction subspace and perform variable selection in a federated setting. We transform this federated high-dimensional sparse sliced inverse regression problem into a convex optimization problem by constructing the covariance matrix safely and losslessly. We then use a linearized alternating direction method of multipliers algorithm to estimate the central subspace. We also give approaches of Bayesian information criterion and holdout validation to ascertain the dimension of the central subspace and the hyper-parameter of the algorithm. We establish an upper bound of the statistical error rate of our estimator under the heterogeneous setting. We demonstrate the effectiveness of our method through simulations and real world applications.
{"title":"Federated Sufficient Dimension Reduction Through High-Dimensional Sparse Sliced Inverse Regression","authors":"Wenquan Cui, Yue Zhao, Jianjun Xu, Haoyang Cheng","doi":"10.1007/s40304-022-00332-4","DOIUrl":"https://doi.org/10.1007/s40304-022-00332-4","url":null,"abstract":"Federated learning has become a popular tool in the big data era nowadays. It trains a centralized model based on data from different clients while keeping data decentralized. In this paper, we propose a federated sparse sliced inverse regression algorithm for the first time. Our method can simultaneously estimate the central dimension reduction subspace and perform variable selection in a federated setting. We transform this federated high-dimensional sparse sliced inverse regression problem into a convex optimization problem by constructing the covariance matrix safely and losslessly. We then use a linearized alternating direction method of multipliers algorithm to estimate the central subspace. We also give approaches of Bayesian information criterion and holdout validation to ascertain the dimension of the central subspace and the hyper-parameter of the algorithm. We establish an upper bound of the statistical error rate of our estimator under the heterogeneous setting. We demonstrate the effectiveness of our method through simulations and real world applications.","PeriodicalId":10575,"journal":{"name":"Communications in Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135478161","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-05-13DOI: 10.1007/s40304-022-00325-3
Kai Yang, Ang Li, Han Li, Xiaogang Dong
{"title":"High-Order Self-excited Threshold Integer-Valued Autoregressive Model: Estimation and Testing","authors":"Kai Yang, Ang Li, Han Li, Xiaogang Dong","doi":"10.1007/s40304-022-00325-3","DOIUrl":"https://doi.org/10.1007/s40304-022-00325-3","url":null,"abstract":"","PeriodicalId":10575,"journal":{"name":"Communications in Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82901623","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-04-26DOI: 10.1007/s40304-022-00330-6
Mi Jia, X. Geng, Huan Liu, Jiao Wei
{"title":"Application of the Theory of Tetragonal Curves to the Hierarchy of Extended Volterra Lattices","authors":"Mi Jia, X. Geng, Huan Liu, Jiao Wei","doi":"10.1007/s40304-022-00330-6","DOIUrl":"https://doi.org/10.1007/s40304-022-00330-6","url":null,"abstract":"","PeriodicalId":10575,"journal":{"name":"Communications in Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88038050","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-04-26DOI: 10.1007/s40304-023-00333-x
Haiyan Liu, Fasheng Sun, D. Lin, Min-Qian Liu
{"title":"On Construction of Mappable Nearly Orthogonal Arrays with Column-Orthogonality","authors":"Haiyan Liu, Fasheng Sun, D. Lin, Min-Qian Liu","doi":"10.1007/s40304-023-00333-x","DOIUrl":"https://doi.org/10.1007/s40304-023-00333-x","url":null,"abstract":"","PeriodicalId":10575,"journal":{"name":"Communications in Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72628908","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-03-31DOI: 10.1007/s40304-022-00326-2
Haofeng Wang, Hongxiang Jin, Xuejun Jiang
{"title":"Feature Selection for High-Dimensional Varying Coefficient Models via Ordinary Least Squares Projection","authors":"Haofeng Wang, Hongxiang Jin, Xuejun Jiang","doi":"10.1007/s40304-022-00326-2","DOIUrl":"https://doi.org/10.1007/s40304-022-00326-2","url":null,"abstract":"","PeriodicalId":10575,"journal":{"name":"Communications in Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82287317","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-03-23DOI: 10.1007/s40304-022-00322-6
Mingyue Du, Qingning Zhou
{"title":"Analysis of Informatively Interval-Censored Case–Cohort Studies with the Application to HIV Vaccine Trials","authors":"Mingyue Du, Qingning Zhou","doi":"10.1007/s40304-022-00322-6","DOIUrl":"https://doi.org/10.1007/s40304-022-00322-6","url":null,"abstract":"","PeriodicalId":10575,"journal":{"name":"Communications in Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78926245","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-03-22DOI: 10.1007/s40304-022-00327-1
Lianyong Qian, Fukang Zhu
{"title":"A Flexible Model for Time Series of Counts with Overdispersion or Underdispersion, Zero-Inflation and Heavy-Tailedness","authors":"Lianyong Qian, Fukang Zhu","doi":"10.1007/s40304-022-00327-1","DOIUrl":"https://doi.org/10.1007/s40304-022-00327-1","url":null,"abstract":"","PeriodicalId":10575,"journal":{"name":"Communications in Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89351653","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-03-22DOI: 10.1007/s40304-022-00324-4
Jingjing Liu, Fang Deng, Huanhuan Ma, J. Deng
{"title":"Isogeometric Analysis Using Basis Functions of Splines Spaces over Hierarchical T-meshes with High Level Differences","authors":"Jingjing Liu, Fang Deng, Huanhuan Ma, J. Deng","doi":"10.1007/s40304-022-00324-4","DOIUrl":"https://doi.org/10.1007/s40304-022-00324-4","url":null,"abstract":"","PeriodicalId":10575,"journal":{"name":"Communications in Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78589753","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：