Journal of Multivariate Analysis最新文献

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A method for sparse and robust independent component analysis 稀疏鲁棒独立分量分析方法
IF 1.4 3区 数学
Journal of Multivariate Analysis Pub Date : 2026-05-01 Epub Date: 2025-12-10 DOI: 10.1016/j.jmva.2025.105587
Lauri Heinonen, Joni Virta
{"title":"A method for sparse and robust independent component analysis","authors":"Lauri Heinonen,&nbsp;Joni Virta","doi":"10.1016/j.jmva.2025.105587","DOIUrl":"10.1016/j.jmva.2025.105587","url":null,"abstract":"<div><div>This work presents sparse invariant coordinate selection, SICS, a new method for sparse and robust independent component analysis. SICS is based on classical invariant coordinate selection, which is presented in such a form that a LASSO-type penalty can be applied to promote sparsity. Robustness is achieved by using robust scatter matrices. In the first part of the paper, the background and building blocks: scatter matrices, measures of robustness, ICS and independent component analysis, are carefully introduced. Then the proposed new method and its algorithm are derived and presented. This part also includes consistency and breakdown point results for a general case of sparse ICS-like methods. The performance of SICS in identifying sparse independent component loadings is investigated with multiple simulations. The method is illustrated with an example in constructing sparse causal graphs and we also propose a graphical tool for selecting the appropriate sparsity level in SICS.</div></div>","PeriodicalId":16431,"journal":{"name":"Journal of Multivariate Analysis","volume":"213 ","pages":"Article 105587"},"PeriodicalIF":1.4,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145788051","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Subgroup effect quantile regression with high dimensional missing panel data 高维缺失面板数据的亚组效应分位数回归
IF 1.4 3区 数学
Journal of Multivariate Analysis Pub Date : 2026-05-01 Epub Date: 2025-12-23 DOI: 10.1016/j.jmva.2025.105593
Shu-Yu Li, Han-Ying Liang
{"title":"Subgroup effect quantile regression with high dimensional missing panel data","authors":"Shu-Yu Li,&nbsp;Han-Ying Liang","doi":"10.1016/j.jmva.2025.105593","DOIUrl":"10.1016/j.jmva.2025.105593","url":null,"abstract":"<div><div>Based on panel data, we explore partially linear varying-coefficient quantile regression with group effects under high dimension and missing observations. Using generalized estimating equations, we construct oracle estimators along with smoothed version for the unknown parameter vector, varying-coefficient functions as well as group effects, and establish their asymptotic normality. In the estimation procedure, the within-subject correlations of the panel data are considered by introducing working correlation matrix. We further investigate variable selection by the SCAD penalty for the parameters, varying-coefficient functions and group identification simultaneously, and discuss oracle properties. Meanwhile, hypothesis tests for the parameter, varying-coefficient functions and group effects are done, asymptotic distributions of the restricted estimators and test statistics under both the null and local alternative hypotheses are analyzed. Also, simulation study and real data analysis are conducted to evaluate the performance of the proposed methods.</div></div>","PeriodicalId":16431,"journal":{"name":"Journal of Multivariate Analysis","volume":"213 ","pages":"Article 105593"},"PeriodicalIF":1.4,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145837542","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Model-free feature screening for ultrahigh dimensional data with responses missing not at random 响应非随机缺失的超高维数据的无模型特征筛选
IF 1.4 3区 数学
Journal of Multivariate Analysis Pub Date : 2026-05-01 Epub Date: 2026-01-15 DOI: 10.1016/j.jmva.2026.105605
Yuliang Bai, Niansheng Tang
{"title":"Model-free feature screening for ultrahigh dimensional data with responses missing not at random","authors":"Yuliang Bai,&nbsp;Niansheng Tang","doi":"10.1016/j.jmva.2026.105605","DOIUrl":"10.1016/j.jmva.2026.105605","url":null,"abstract":"<div><div>Feature screening method is an important tool for screening active features in ultrahigh dimensional data analysis. Existing feature screening methods mainly focus on the fully observed data or missing responses at random. But in many applied fields such as biomedicine, social science and epidemiological studies, responses might be subject to nonignorable missingness due to various reasons such as dropout. To this end, this paper proposes a new adjusted Spearman rank correlation to screen active features by incorporating the Spearman rank correlation and its conditional expectation in the presence of nonignorable missing responses. To circumvent the notorious identification problem, we introduce instrumental variables into the propensity score (PS) function, which is specified by a more general semiparametric regression model. A nonparametric imputation method is developed to estimate the adjusted Spearman rank correlation. The proposed method has several desirable merits. First, it is model-free. Second, it is robust to outliers, heavy tailed data and the misspecification of the PS function. Third, under some weaker regularity conditions than existing missing data literature, it has sure screening property and ranking consistency, and can well control the false discovery rate regardless of known or consistently estimated parameters in the PS function. Simulation studies and two real examples are used to investigate the performance of the proposed methodologies.</div></div>","PeriodicalId":16431,"journal":{"name":"Journal of Multivariate Analysis","volume":"213 ","pages":"Article 105605"},"PeriodicalIF":1.4,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145977542","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Nonparametric estimation from correlated copies of a drifted process 漂移过程相关副本的非参数估计
IF 1.4 3区 数学
Journal of Multivariate Analysis Pub Date : 2026-05-01 Epub Date: 2026-01-17 DOI: 10.1016/j.jmva.2026.105607
Nicolas Marie
{"title":"Nonparametric estimation from correlated copies of a drifted process","authors":"Nicolas Marie","doi":"10.1016/j.jmva.2026.105607","DOIUrl":"10.1016/j.jmva.2026.105607","url":null,"abstract":"<div><div>This paper presents several situations leading to the observation of multiple correlated copies of a drifted process, and then non-asymptotic risk bounds are established on nonparametric estimators of the drift function <span><math><msub><mrow><mi>b</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> and its derivative. For drifted Gaussian processes with a regular enough covariance function, a sharper risk bound is established on the estimator of <span><math><msubsup><mrow><mi>b</mi></mrow><mrow><mn>0</mn></mrow><mrow><mo>′</mo></mrow></msubsup></math></span>, and a model selection procedure is provided with theoretical guarantees.</div></div>","PeriodicalId":16431,"journal":{"name":"Journal of Multivariate Analysis","volume":"213 ","pages":"Article 105607"},"PeriodicalIF":1.4,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145977495","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Multiplier and empirical subsample bootstraps for maxima in high dimensional time series analysis 高维时间序列分析中最大值的乘子和经验子样本自举
IF 1.4 3区 数学
Journal of Multivariate Analysis Pub Date : 2026-05-01 Epub Date: 2025-12-16 DOI: 10.1016/j.jmva.2025.105579
Ruru Ma, Shibin Zhang
{"title":"Multiplier and empirical subsample bootstraps for maxima in high dimensional time series analysis","authors":"Ruru Ma,&nbsp;Shibin Zhang","doi":"10.1016/j.jmva.2025.105579","DOIUrl":"10.1016/j.jmva.2025.105579","url":null,"abstract":"<div><div>The distribution of maxima is crucial for simultaneous inference of high dimensional parameters. This paper focuses on the bootstrap approximation to the distribution of maxima in high dimensional time series analysis. We propose two novel approaches, the multiplier subsample bootstrap (MSB) and the empirical subsample bootstrap (ESB), to approximate the distribution of maxima constructed from high dimensional time series. Both approaches utilize block-based subsample statistics to build the bootstrap statistics. The MSB assigns weights to block-based subsample statistics using random elements, while the ESB resamples from them independently and uniformly. Under certain regularity conditions, we establish the asymptotic validity of the two proposed approaches, when the parameter dimension is large or even much larger than the sample size. A simulation study demonstrates that both the MSB and ESB perform well.</div></div>","PeriodicalId":16431,"journal":{"name":"Journal of Multivariate Analysis","volume":"213 ","pages":"Article 105579"},"PeriodicalIF":1.4,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145788052","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Envelope-based partial least squares in functional regression 函数回归中基于包络的偏最小二乘
IF 1.4 3区 数学
Journal of Multivariate Analysis Pub Date : 2026-05-01 Epub Date: 2025-12-23 DOI: 10.1016/j.jmva.2025.105592
Minxuan Wu , Joseph Antonelli , Zhihua Su
{"title":"Envelope-based partial least squares in functional regression","authors":"Minxuan Wu ,&nbsp;Joseph Antonelli ,&nbsp;Zhihua Su","doi":"10.1016/j.jmva.2025.105592","DOIUrl":"10.1016/j.jmva.2025.105592","url":null,"abstract":"<div><div>In this article, we extend predictor envelope models to settings with multivariate outcomes and multiple, functional predictors. We propose a two-step estimation strategy, which first projects the function onto a finite-dimensional Euclidean space before fitting the model using existing approaches to envelope models. We first develop an estimator under a linear model with continuous outcomes and then extend this procedure to the more general class of generalized linear models, which allow for a variety of outcome types. We provide asymptotic theory for these estimators showing that they are root-<span><math><mi>n</mi></math></span> consistent and asymptotically normal when the regression coefficient is finite-rank. Additionally we show that consistency can be obtained even when the regression coefficient has rank that grows with the sample size. Extensive simulation studies confirm our theoretical results and show strong prediction performance of the proposed estimators. Additionally, we provide multiple data analyses showing that the proposed approach performs well in real-world settings under a variety of outcome types compared with existing dimension reduction approaches.</div></div>","PeriodicalId":16431,"journal":{"name":"Journal of Multivariate Analysis","volume":"213 ","pages":"Article 105592"},"PeriodicalIF":1.4,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145837543","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Simultaneous heterogeneity and reduced-rank learning for multivariate response regression 多元反应回归的同时异质性与降阶学习
IF 1.4 3区 数学
Journal of Multivariate Analysis Pub Date : 2026-05-01 Epub Date: 2025-12-05 DOI: 10.1016/j.jmva.2025.105578
Jie Wu , Bo Zhang , Daoji Li , Zemin Zheng
{"title":"Simultaneous heterogeneity and reduced-rank learning for multivariate response regression","authors":"Jie Wu ,&nbsp;Bo Zhang ,&nbsp;Daoji Li ,&nbsp;Zemin Zheng","doi":"10.1016/j.jmva.2025.105578","DOIUrl":"10.1016/j.jmva.2025.105578","url":null,"abstract":"<div><div>Heterogeneous data are now ubiquitous in many applications in which correctly identifying the subgroups from a heterogeneous population is critical. Although there is an increasing body of literature on subgroup detection, existing methods mainly focus on the univariate response setting. In this paper, we propose a joint heterogeneity and reduced-rank learning framework to simultaneously identify the subgroup structure and estimate the covariate effects for heterogeneous multivariate response regression. In particular, our approach uses rank-constrained pairwise fusion penalization and conducts the subgroup analysis without requiring prior knowledge regarding the individual subgroup memberships. We implement the proposed approach by an alternating direction method of multipliers (ADMM) algorithm and show its convergence. We also establish the asymptotic properties for the resulting estimators under mild and interpretable conditions. A predictive information criterion is proposed to select the rank of the coefficient matrix with theoretical support. The effectiveness of the proposed approach is demonstrated through simulation studies and a real data application.</div></div>","PeriodicalId":16431,"journal":{"name":"Journal of Multivariate Analysis","volume":"213 ","pages":"Article 105578"},"PeriodicalIF":1.4,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145683762","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 factor analysis with exponential squared loss 具有指数平方损失的稳健因子分析
IF 1.4 3区 数学
Journal of Multivariate Analysis Pub Date : 2026-05-01 Epub Date: 2025-12-01 DOI: 10.1016/j.jmva.2025.105567
Jiaqi Hu, Tingyin Wang, Xueqin Wang
{"title":"Robust factor analysis with exponential squared loss","authors":"Jiaqi Hu,&nbsp;Tingyin Wang,&nbsp;Xueqin Wang","doi":"10.1016/j.jmva.2025.105567","DOIUrl":"10.1016/j.jmva.2025.105567","url":null,"abstract":"<div><div>The large dimensional factor model, aimed at reducing dimensionality and extracting features through a few latent common factors, has sparked significant interest due to its broad applications. Despite the popularity of traditional methods for factor models, they may yield incorrect estimators for heavy-tailed data. To address this issue, we introduce the exponential squared loss to the factor model in this study, denoted as the Robust Exponential Factor Analysis (REFA). We propose a modified rank minimization technique to enhance the estimation accuracy of factor numbers in finite-sample cases. Consistency properties for factors and loadings are established under mild conditions, without any moment assumptions on the errors. The performance of REFA with finite samples under both light and heavy-tailed cases has been demonstrated through simulation studies. Furthermore, an analysis employing a financial dataset of asset returns underscores the superiority of REFA. To facilitate the implementation of our proposed methodology by researchers, we have developed an <span>R</span> package named <span>REFA</span>, which is available on <span>CRAN</span>.</div></div>","PeriodicalId":16431,"journal":{"name":"Journal of Multivariate Analysis","volume":"213 ","pages":"Article 105567"},"PeriodicalIF":1.4,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145683763","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Low dimensional factor model-based tests for assessing vector correlation in high-dimensional settings 用于评估高维设置中向量相关性的基于低维因素模型的测试
IF 1.4 3区 数学
Journal of Multivariate Analysis Pub Date : 2026-05-01 Epub Date: 2025-12-17 DOI: 10.1016/j.jmva.2025.105588
Masashi Hyodo , Takahiro Nishiyama , Shoichi Narita
{"title":"Low dimensional factor model-based tests for assessing vector correlation in high-dimensional settings","authors":"Masashi Hyodo ,&nbsp;Takahiro Nishiyama ,&nbsp;Shoichi Narita","doi":"10.1016/j.jmva.2025.105588","DOIUrl":"10.1016/j.jmva.2025.105588","url":null,"abstract":"<div><div>This study proposes a new test for vector correlation in a high-dimensional framework, while accommodating a low-dimensional latent factor model. Our test, built under low-dimensional factor models, distinguishes from previous normal approximation-based tests, which are valid under a weak-spike structure. We propose a modified RV coefficient for high-dimensional data, and show that its null-limiting distributions follow a weighted mixture of chi-square distributions under a high-dimensional asymptotic regime integrated with weak technical conditions. By applying this asymptotic result and estimation theory of the number of factors in a low-dimensional factor model, we propose a new approximation test for vector correlations. We also derive the asymptotic power function for the proposed test. Lastly, we examine the finite sample and dimensional performance of this test using Monte Carlo simulations.</div></div>","PeriodicalId":16431,"journal":{"name":"Journal of Multivariate Analysis","volume":"213 ","pages":"Article 105588"},"PeriodicalIF":1.4,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145837540","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 sparse dimension-reduced subspace-based approach for detecting multiple change points in high-dimensional data 一种基于稀疏降维子空间的高维数据多变化点检测方法
IF 1.4 3区 数学
Journal of Multivariate Analysis Pub Date : 2026-05-01 Epub Date: 2025-12-27 DOI: 10.1016/j.jmva.2025.105594
Luoyao Yu , Rongzhu Zhao , Jiaqi Huang , Lixing Zhu , Xuehu Zhu
{"title":"A sparse dimension-reduced subspace-based approach for detecting multiple change points in high-dimensional data","authors":"Luoyao Yu ,&nbsp;Rongzhu Zhao ,&nbsp;Jiaqi Huang ,&nbsp;Lixing Zhu ,&nbsp;Xuehu Zhu","doi":"10.1016/j.jmva.2025.105594","DOIUrl":"10.1016/j.jmva.2025.105594","url":null,"abstract":"<div><div>This paper develops a novel penalized matrix estimation method for sparse dimension reduction when detecting change points in high-dimensional data. The strategy is to project high-dimensional data onto a low-dimensional subspace without losing any change point information, enabling efficient change point detection within this dimension-reduced subspace. Theoretical analysis establishes the consistency of the proposed matrix estimation and selects consistently the important variables which have change points. Numerical studies on synthetic and several real data sets suggest that the dimension reduction strategy enhances the performance of existing approaches. Additionally, the results showcase the efficiency of the proposed algorithm for selecting important variables in high-dimensional sparse data.</div></div>","PeriodicalId":16431,"journal":{"name":"Journal of Multivariate Analysis","volume":"213 ","pages":"Article 105594"},"PeriodicalIF":1.4,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145880915","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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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