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In univariate data, there exist standard procedures for identifying dominating features that produce the largest observations. However, in the multivariate setting, the situation is quite different. This paper aims to provide tools and…

Statistics Theory · Mathematics 2023-08-29 Miriam Hägele , Jaakko Lehtomaa

High-dimensional, higher-order tensor data are gaining prominence in a variety of fields, including but not limited to computer vision and network analysis. Tensor factor models, induced from noisy versions of tensor decompositions or…

Methodology · Statistics 2024-12-16 Xu Zhang , Guodong Li , Catherine C. Liu , Jianhua Guo

This paper deals with the dynamic factor analysis problem for an ARMA process. To robustly estimate the number of factors, we construct a confidence region centered in a finite sample estimate of the underlying model which contains the true…

Methodology · Statistics 2021-07-09 Lucia Falconi , Augusto Ferrante , Mattia Zorzi

Software vulnerability detection can be formulated as a binary classification problem that determines whether a given code snippet contains security defects. Existing multimodal methods typically fuse Natural Code Sequence (NCS)…

Software Engineering · Computer Science 2026-04-24 Yun Bian , Yi Chen , HaiQuan Wang , ShiHao Li , Zhe Cui

The current Poisson factor models often assume that the factors are unknown, which overlooks the explanatory potential of certain observable covariates. This study focuses on high dimensional settings, where the number of the count response…

Methodology · Statistics 2024-02-26 Wei Liu , Qingzhi Zhong

Analysis of matrix-variate data is becoming increasingly common in the literature, particularly in the field of clustering and classification. It is well-known that real data, including real matrix-variate data, often exhibit high levels of…

Methodology · Statistics 2024-07-30 Abbas Mahdavi , Narayanaswamy Balakrishnan , Ahad Jamalizadeh

Multivariate regression techniques are commonly applied to explore the associations between large numbers of outcomes and predictors. In real-world applications, the outcomes are often of mixed types, including continuous measurements,…

Methodology · Statistics 2020-10-19 Aditya Mishra , Dipak K. Dey , Yong Chen , Kun Chen

An efficient way to learn deep density models that have many layers of latent variables is to learn one layer at a time using a model that has only one layer of latent variables. After learning each layer, samples from the posterior…

Machine Learning · Computer Science 2012-06-22 Yichuan Tang , Ruslan Salakhutdinov , Geoffrey Hinton

Multi-event detection and recognition in real time is of challenge for a modern grid as its feature is usually non-identifiable. Based on factor model, this paper porposes a data-driven method as an alternative solution under the framework…

Applications · Statistics 2017-12-27 Fan Yang , Xing He , Robert Caiming Qiu , Zenan Ling

For factor model, the involved covariance matrix often has no row sparse structure because the common factors may lead some variables to strongly associate with many others. Under the ultra-high dimensional paradigm, this feature causes…

Methodology · Statistics 2014-09-22 Junlong Zhao , Hongyu Zhao , Lixing Zhu

The mixed effects model for repeated measures (MMRM) has been widely used for the analysis of longitudinal clinical data collected at a number of fixed time points. We propose a robust extension of the MMRM for skewed and heavy-tailed data…

Methodology · Statistics 2019-08-12 Yongqiang Tang

We consider statistical inference in factor analysis for ergodic and non-ergodic diffusion processes from discrete observations. Factor model based on high frequency time series data has been mainly discussed in the field of high…

Statistics Theory · Mathematics 2022-02-04 Shogo Kusano , Masayuki Uchida

Approving and assessing new drugs is complex because multiple criteria must be considered simultaneously. A common approach is benefit-risk analysis, often conducted within a Bayesian framework to account for uncertainty and combine data…

Identifying the number of factors in a high-dimensional factor model has attracted much attention in recent years and a general solution to the problem is still lacking. A promising ratio estimator based on the singular values of the lagged…

Methodology · Statistics 2018-01-23 Zeng Li , Qinwen Wang , Jianfeng Yao

Modern data science applications often involve complex relational data with dynamic structures. An abrupt change in such dynamic relational data is typically observed in systems that undergo regime changes due to interventions. In such a…

Methodology · Statistics 2024-07-16 Peng Zhao , Anirban Bhattacharya , Debdeep Pati , Bani K. Mallick

Federated or multi-site studies have distinct advantages over single-site studies, including increased generalizability, the ability to study underrepresented populations, and the opportunity to study rare exposures and outcomes. However,…

Machine Learning · Statistics 2023-09-25 Larry Han , Zhu Shen , Jose Zubizarreta

This paper develops an inferential theory for high-dimensional matrix-variate factor models with missing observations. We propose an easy-to-use all-purpose method that involves two straightforward steps. First, we perform principal…

Methodology · Statistics 2025-03-26 Yongxia Zhang , Jinwen Liang , Liwen Xu , Keming Yu , Maozai Tian

In this paper, we propose a novel feature weighting method to address the limitation of existing feature processing methods for tabular data. Typically the existing methods assume equal importance across all samples and features in one…

Machine Learning · Computer Science 2024-05-20 Xinhao Zhang , Zaitian Wang , Lu Jiang , Wanfu Gao , Pengfei Wang , Kunpeng Liu

In this paper, we study robust covariance estimation under the approximate factor model with observed factors. We propose a novel framework to first estimate the initial joint covariance matrix of the observed data and the factors, and then…

Methodology · Statistics 2016-02-03 Jianqing Fan , Weichen Wang , Yiqiao Zhong

Naive Bayes(NB) is one of the essential algorithms in data mining. However, it is rarely used in reality because of the attribute independent assumption. Researchers have proposed many improved NB methods to alleviate this assumption. Among…

Machine Learning · Computer Science 2022-02-25 Xiaoliang Zhou , Dongyang Wu , Zitong You , Li Zhang , Ning Ye