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Data for several applications in diverse fields can be represented as multiple matrices that are linked across rows or columns. This is particularly common in molecular biomedical research, in which multiple molecular "omics" technologies…

机器学习 · 统计学 2024-08-02 Eric F. Lock

High-dimensional statistical inference deals with models in which the the number of parameters p is comparable to or larger than the sample size n. Since it is usually impossible to obtain consistent procedures unless $p/n\rightarrow0$, a…

统计理论 · 数学 2013-03-13 Sahand N. Negahban , Pradeep Ravikumar , Martin J. Wainwright , Bin Yu

Handling missing values in tabular datasets presents a significant challenge in training and testing artificial intelligence models, an issue usually addressed using imputation techniques. Here we introduce "Not Another Imputation Method"…

机器学习 · 计算机科学 2026-03-13 Camillo Maria Caruso , Paolo Soda , Valerio Guarrasi

Longitudinal or panel data can be represented as a matrix with rows indexed by units and columns indexed by time. We consider inferential questions associated with the missing data version of panel data induced by staggered adoption. We…

统计理论 · 数学 2024-07-02 Yuling Yan , Martin J. Wainwright

In the context of multivariate nonparametric regression with missing covariates, we propose Pattern Embedded Neural Networks (PENNs), which can be applied in conjunction with any existing imputation technique. In addition to a neural…

统计方法学 · 统计学 2025-04-30 Tianyi Ma , Tengyao Wang , Richard J. Samworth

This paper proposes a general multiple imputation approach for analyzing large-scale data with missing values. An imputation model is derived from a joint distribution induced by a latent variable model, which can flexibly capture…

统计方法学 · 统计学 2025-09-26 Siliang Zhang , Yunxiao Chen , Jouni Kuha

Missing data is a widespread problem in many domains, creating challenges in data analysis and decision making. Traditional techniques for dealing with missing data, such as excluding incomplete records or imputing simple estimates (e.g.,…

数据库 · 计算机科学 2024-01-09 Massimo Perini , Milos Nikolic

We propose to learn latent graphical models when data have mixed variables and missing values. This model could be used for further data analysis, including regression, classification, ranking etc. It also could be used for imputing missing…

统计方法学 · 统计学 2015-11-17 Xiao Li , Jinzhu Jia , Yuan Yao

With nonignorable missing data, likelihood-based inference should be based on the joint distribution of the study variables and their missingness indicators. These joint models cannot be estimated from the data alone, thus requiring the…

统计理论 · 数学 2017-01-06 Mauricio Sadinle , Jerome P. Reiter

Missing data is a pervasive issue in both scientific and engineering tasks, especially for the modeling of spatiotemporal data. This problem attracts many studies to contribute to data-driven solutions. Existing imputation solutions mainly…

机器学习 · 计算机科学 2024-07-26 Tong Nie , Guoyang Qin , Wei Ma , Yuewen Mei , Jian Sun

We present a framework for generating multiple imputations for continuous data when the missing data mechanism is unknown. Imputations are generated from more than one imputation model in order to incorporate uncertainty regarding the…

应用统计 · 统计学 2013-01-14 Juned Siddique , Ofer Harel , Catherine M. Crespi

Prediction Rule Ensembles (PREs) are robust and interpretable statistical learning techniques with potential for predictive analytics, yet their efficacy in the presence of missing data is untested. This study uses multiple imputation to…

应用统计 · 统计学 2024-10-22 Vincent Schroeder , Jakob Schwerter , Marjolein Fokkema , Philipp Doebler

Multivariate time-series data are used in many classification and regression predictive tasks, and recurrent models have been widely used for such tasks. Most common recurrent models assume that time-series data elements are of equal length…

机器学习 · 计算机科学 2020-09-21 Mehak Gupta , Rahmatollah Beheshti

Multiple imputation provides us with efficient estimators in model-based methods for handling missing data under the true model. It is also well-understood that design-based estimators are robust methods that do not require accurately…

统计方法学 · 统计学 2020-06-11 Kyunghee Han , Pamela A. Shaw , Thomas Lumley

In many applications, data can be heterogeneous in the sense of spanning latent groups with different underlying distributions. When predictive models are applied to such data the heterogeneity can affect both predictive performance and…

机器学习 · 统计学 2022-05-04 Thomas Lartigue , Sach Mukherjee

Estimation of the mean vector and covariance matrix is of central importance in the analysis of multivariate data. In the framework of generalized linear models, usually the variances are certain functions of the means with the normal…

统计方法学 · 统计学 2023-01-25 Anupam Kundu , Mohsen Pourahmadi

It has been proposed that complex populations, such as those that arise in genomics studies, may exhibit dependencies among observations as well as among variables. This gives rise to the challenging problem of analyzing unreplicated…

机器学习 · 统计学 2018-06-08 Michael Hornstein , Roger Fan , Kerby Shedden , Shuheng Zhou

Extracting latent low-dimensional structure from high-dimensional data is of paramount importance in timely inference tasks encountered with `Big Data' analytics. However, increasingly noisy, heterogeneous, and incomplete datasets as well…

机器学习 · 统计学 2015-06-19 Morteza Mardani , Gonzalo Mateos , Georgios B. Giannakis

This paper reviews recent advances in missing data research using graphical models to represent multivariate dependencies. We first examine the limitations of traditional frameworks from three different perspectives: \textit{transparency,…

统计方法学 · 统计学 2019-11-15 Karthika Mohan , Judea Pearl

Widely used methods for analyzing missing data can be biased in small samples. To understand these biases, we evaluate in detail the situation where a small univariate normal sample, with values missing at random, is analyzed using either…

统计理论 · 数学 2017-03-27 Paul T. von Hippel