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Communications in Mathematics and Statistics最新文献

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Strong Convergence Theorems Under Sub-linear Expectations and Its Applications in Nonparametric Regression Models 次线性期望下的强收敛定理及其在非参数回归模型中的应用
IF 0.9 4区 数学
Communications in Mathematics and Statistics Pub Date : 2023-06-16 DOI: 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}
引用次数: 0
Robust Model Structure Recovery for Ultra-High-Dimensional Varying-Coefficient Models 超高维变系数模型的鲁棒结构恢复
IF 0.9 4区 数学
Communications in Mathematics and Statistics Pub Date : 2023-06-16 DOI: 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}
引用次数: 0
Federated Sufficient Dimension Reduction Through High-Dimensional Sparse Sliced Inverse Regression 基于高维稀疏切片反回归的联邦充分降维
4区 数学
Communications in Mathematics and Statistics Pub Date : 2023-05-30 DOI: 10.1007/s40304-022-00332-4
Wenquan Cui, Yue Zhao, Jianjun Xu, Haoyang Cheng
{"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}
引用次数: 1
High-Order Self-excited Threshold Integer-Valued Autoregressive Model: Estimation and Testing 高阶自激阈值整值自回归模型:估计与检验
IF 0.9 4区 数学
Communications in Mathematics and Statistics Pub Date : 2023-05-13 DOI: 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}
引用次数: 4
Application of the Theory of Tetragonal Curves to the Hierarchy of Extended Volterra Lattices 四角曲线理论在扩展沃尔泰拉格层次中的应用
IF 0.9 4区 数学
Communications in Mathematics and Statistics Pub Date : 2023-04-26 DOI: 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}
引用次数: 0
On Construction of Mappable Nearly Orthogonal Arrays with Column-Orthogonality 关于具有列正交的可映射近正交阵列的构造
IF 0.9 4区 数学
Communications in Mathematics and Statistics Pub Date : 2023-04-26 DOI: 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}
引用次数: 0
Feature Selection for High-Dimensional Varying Coefficient Models via Ordinary Least Squares Projection 基于普通最小二乘投影的高维变系数模型特征选择
IF 0.9 4区 数学
Communications in Mathematics and Statistics Pub Date : 2023-03-31 DOI: 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}
引用次数: 0
Analysis of Informatively Interval-Censored Case–Cohort Studies with the Application to HIV Vaccine Trials 信息间隔审查病例队列研究在HIV疫苗试验中的应用分析
IF 0.9 4区 数学
Communications in Mathematics and Statistics Pub Date : 2023-03-23 DOI: 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}
引用次数: 0
A Flexible Model for Time Series of Counts with Overdispersion or Underdispersion, Zero-Inflation and Heavy-Tailedness 具有过分散或欠分散、零膨胀和重尾性计数时间序列的柔性模型
IF 0.9 4区 数学
Communications in Mathematics and Statistics Pub Date : 2023-03-22 DOI: 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}
引用次数: 3
Isogeometric Analysis Using Basis Functions of Splines Spaces over Hierarchical T-meshes with High Level Differences 基于样条空间基函数的等高阶差分t网格等高几何分析
IF 0.9 4区 数学
Communications in Mathematics and Statistics Pub Date : 2023-03-22 DOI: 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}
引用次数: 0
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