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Missing data is a common problem in medical research, and is commonly addressed using multiple imputation. Although traditional imputation methods allow for valid statistical inference when data are missing at random (MAR), their…

The problem of imputing multivariate time series spans a wide range of fields, from clinical healthcare to multi-sensor systems. Initially, Recurrent Neural Networks (RNNs) were employed for this task; however, their error accumulation…

Machine Learning · Computer Science 2024-10-10 Javier Solís-García , Belén Vega-Márquez , Juan A. Nepomuceno , Isabel A. Nepomuceno-Chamorro

Missing data imputation remains a fundamental challenge in modern data science, especially when uncertainty quantification is essential. In this work, we propose MissBGM, an AI-powered missing data imputation method via Bayesian generative…

Machine Learning · Statistics 2026-05-05 Qiao Liu

Modern datasets commonly feature both substantial missingness and many variables of mixed data types, which present significant challenges for estimation and inference. Complete case analysis, which proceeds using only the observations with…

Methodology · Statistics 2023-04-10 Joseph Feldman , Daniel R. Kowal

We present a simple yet novel time series imputation technique with the goal of constructing an irregular time series that is uniform across every sample in a data set. Specifically, we fix a grid defined by the midpoints of non-overlapping…

Machine Learning · Computer Science 2022-01-19 Andrew Baumgartner , Sevda Molani , Qi Wei , Jennifer Hadlock

This work considers the problem of fitting functional models with sparsely and irregularly sampled functional data. It overcomes the limitations of the state-of-the-art methods, which face major challenges in the fitting of more complex…

Methodology · Statistics 2023-05-02 Aniruddha Rajendra Rao , Matthew Reimherr

Missing data theory deals with the statistical methods in the occurrence of missing data. Missing data occurs when some values are not stored or observed for variables of interest. However, most of the statistical theory assumes that data…

Data-driven method for Structural Health Monitoring (SHM), that mine the hidden structural performance from the correlations among monitored time series data, has received widely concerns recently. However, missing data significantly…

Machine Learning · Computer Science 2023-04-04 Fan Deng , Xiaoming Tao , Pengxiang Wei , Shiyin Wei

Evaluating and tracking patients' functional status through the post-acute care continuum requires a common instrument. However, different post-acute service providers such as nursing homes, inpatient rehabilitation facilities and home…

Methodology · Statistics 2020-01-22 Chenyang Gu , Roee Gutman

Probabilistic time series imputation has been widely applied in real-world scenarios due to its ability for uncertainty estimation and denoising diffusion probabilistic models~(DDPMs) have achieved great success in probabilistic time series…

Machine Learning · Computer Science 2025-08-20 Hongfan Gao , Wangmeng Shen , Xiangfei Qiu , Ronghui Xu , Jilin Hu , Bin Yang

Modeling Irregularly-sampled and Multivariate Time Series (IMTS) is crucial across a variety of applications where different sets of variates may be missing at different time-steps due to sensor malfunctions or high data acquisition costs.…

An increasing number of large-scale multi-modal research initiatives has been conducted in the typically developing population, as well as in psychiatric cohorts. Missing data is a common problem in such datasets due to the difficulty of…

Modern data acquisition based on high-throughput technology is often facing the problem of missing data. Algorithms commonly used in the analysis of such large-scale data often depend on a complete set. Missing value imputation offers a…

Applications · Statistics 2014-06-03 Daniel J. Stekhoven , Peter Bühlmann

We present a nonparametric Bayesian joint model for multivariate continuous and categorical variables, with the intention of developing a flexible engine for multiple imputation of missing values. The model fuses Dirichlet process mixtures…

Applications · Statistics 2015-10-14 Jared S. Murray , Jerome P. Reiter

Time series data are ubiquitous in real-world applications. However, one of the most common problems is that the time series data could have missing values by the inherent nature of the data collection process. So imputing missing values…

Machine Learning · Computer Science 2022-09-23 Eunkyu Oh , Taehun Kim , Yunhu Ji , Sushil Khyalia

The challenge of handling missing data is widespread in modern data analysis, particularly during the preprocessing phase and in various inferential modeling tasks. Although numerous algorithms exist for imputing missing data, the…

Methodology · Statistics 2024-03-28 Marcos Matabuena , Carla Díaz-Louzao , Rahul Ghosal , Francisco Gude

Digital technologies (e.g., mobile phones) can be used to obtain objective, frequent, and real-world digital phenotypes from individuals. However, modeling these data poses substantial challenges since observational data are subject to…

Applications · Statistics 2026-05-12 Tianchen Xu , Yuan Chen , Donglin Zeng , Yuanjia Wang

The use of digital devices to collect data in mobile health (mHealth) studies introduces a novel application of time series methods, with the constraint of potential data missing at random (MAR) or missing not at random (MNAR). In time…

Methodology · Statistics 2024-04-03 Charlotte Fowler , Xiaoxuan Cai , Justin T. Baker , Jukka-Pekka Onnela , Linda Valeri

This study investigates the potential of multimodal data integration, which combines electroencephalogram (EEG) data with sociodemographic characteristics like age, sex, education, and intelligence quotient (IQ), to diagnose mental diseases…

Machine Learning · Computer Science 2025-02-07 Himanshi Singh , Sadhana Tiwari , Sonali Agarwal , Ritesh Chandra , Sanjay Kumar Sonbhadra , Vrijendra Singh

State Space Model (SSM) is a mathematical model used to describe and analyze the behavior of dynamic systems. This model has witnessed numerous applications in several fields, including control theory, signal processing, economics and…

Computer Vision and Pattern Recognition · Computer Science 2024-05-08 Xiao Liu , Chenxu Zhang , Lei Zhang