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In some multivariate problems with missing data, pairs of variables exist that are never observed together. For example, some modern biological tools can produce data of this form. As a result of this structure, the covariance matrix is…

统计方法学 · 统计学 2013-08-13 Max Grazier G'Sell , Shai S. Shen-Orr , Robert Tibshirani

We study high-dimensional regression with missing entries in the covariates. A common strategy in practice is to \emph{impute} the missing entries with an appropriate substitute and then implement a standard statistical procedure acting as…

统计理论 · 数学 2020-01-28 Kabir Aladin Chandrasekher , Ahmed El Alaoui , Andrea Montanari

Imputing missing values is an important preprocessing step in data analysis, but the literature offers little guidance on how to choose between different imputation models. This letter suggests adopting the imputation model that generates a…

统计方法学 · 统计学 2021-07-13 Moritz Marbach

Missing data imputation forms the first critical step of many data analysis pipelines. The challenge is greatest for mixed data sets, including real, Boolean, and ordinal data, where standard techniques for imputation fail basic sanity…

统计方法学 · 统计学 2020-06-17 Yuxuan Zhao , Madeleine Udell

The matrix-variate normal distribution is a popular model for high-dimensional transposable data because it decomposes the dependence structure of the random matrix into the Kronecker product of two covariance matrices: one for each of the…

统计方法学 · 统计学 2014-11-11 Anestis Touloumis , John Marioni , Simon Tavaré

Several statistical models are given in the form of unnormalized densities, and calculation of the normalization constant is intractable. We propose estimation methods for such unnormalized models with missing data. The key concept is to…

机器学习 · 统计学 2020-06-11 Masatoshi Uehara , Takeru Matsuda , Jae Kwang Kim

A wide range of systems exhibit high dimensional incomplete data. Accurate estimation of the missing data is often desired, and is crucial for many downstream analyses. Many state-of-the-art recovery methods involve supervised learning…

计算机视觉与模式识别 · 计算机科学 2019-03-15 Adrian V. Dalca , John Guttag , Mert R. Sabuncu

Transposable data represents interactions among two sets of entities, and are typically represented as a matrix containing the known interaction values. Additional side information may consist of feature vectors specific to entities…

机器学习 · 统计学 2014-04-29 Oluwasanmi Koyejo , Cheng Lee , Joydeep Ghosh

The problem of monotone missing data has been broadly studied during the last two decades and has many applications in different fields such as bioinformatics or statistics. Commonly used imputation techniques require multiple iterations…

机器学习 · 计算机科学 2020-09-25 Thu Nguyen , Duy H. M. Nguyen , Huy Nguyen , Binh T. Nguyen , Bruce A. Wade

Missing data is a fundamental challenge in data science, significantly hindering analysis and decision-making across a wide range of disciplines, including healthcare, bioinformatics, social science, e-commerce, and industrial monitoring.…

机器学习 · 统计学 2026-05-12 Jicong Fan

We consider high-dimensional generalized linear models when the covariates are contaminated by measurement error. Estimates from errors-in-variables regression models are well-known to be biased in traditional low-dimensional settings if…

统计计算 · 统计学 2020-01-06 Michael Byrd , Monnie McGee

Multivariate time series data for real-world applications typically contain a significant amount of missing values. The dominant approach for classification with such missing values is to impute them heuristically with specific values…

机器学习 · 计算机科学 2023-08-15 SeungHyun Kim , Hyunsu Kim , EungGu Yun , Hwangrae Lee , Jaehun Lee , Juho Lee

Data values in a dataset can be missing or anomalous due to mishandling or human error. Analysing data with missing values can create bias and affect the inferences. Several analysis methods, such as principle components analysis or…

人工智能 · 计算机科学 2022-05-11 Sandeep Hans , Diptikalyan Saha , Aniya Aggarwal

Data imputation is an effective way to handle missing data, which is common in practical applications. In this study, we propose and test a novel data imputation process that achieve two important goals: (1) preserve the row-wise…

机器学习 · 计算机科学 2023-09-13 Katrina Chen , Xiuqin Liang , Zheng Ma , Zhibin Zhang

Dramatic increases in the size and dimensionality of many recent data sets make crucial the need for sophisticated methods that can exploit inherent structure and handle missing values. In this article we derive an expectation-maximization…

统计方法学 · 统计学 2013-09-26 Hunter Glanz , Luis Carvalho

Missing data are frequently encountered in high-dimensional problems, but they are usually difficult to deal with using standard algorithms, such as the expectation-maximization (EM) algorithm and its variants. To tackle this difficulty,…

统计方法学 · 统计学 2018-02-08 Faming Liang , Bochao Jia , Jingnan Xue , Qizhai Li , Ye Luo

Missing data is an important challenge when dealing with high dimensional data arranged in the form of an array. In this paper, we propose methods for estimation of the parameters of array variate normal probability model from partially…

统计方法学 · 统计学 2015-01-06 Deniz Akdemir

Regression analysis with missing data is a long-standing and challenging problem, particularly when there are many missing variables with arbitrary missing patterns. Likelihood-based methods, although theoretically appealing, are often…

统计方法学 · 统计学 2024-10-16 Ngok Sang Kwok , Kin Yau Wong

Many inference techniques for multivariate data analysis assume that the rows of the data matrix are realizations of independent and identically distributed random vectors. Such an assumption will be met, for example, if the rows of the…

统计理论 · 数学 2015-12-31 Peter D. Hoff

Datasets with missing values are very common on industry applications, and they can have a negative impact on machine learning models. Recent studies introduced solutions to the problem of imputing missing values based on deep generative…

机器学习 · 计算机科学 2019-02-28 Ramiro D. Camino , Christian A. Hammerschmidt , Radu State