paper-with-me

Papers

Missingness-aware Data Imputation via AI-powered Bayesian Generative Modeling

2026-05-03 · Qiao Liu arxiv

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 modeling that bridges the expressive flexibility of neural networks with the statistical rigor of Bayesian inference. Unlike existing methods that often focus on point estimates or treat the missingness mechanism implicitly, MissBGM explicitly and jointly models the data-generating and missingness mechanisms, providing principled posterior uncertainty over imputations rather than a single point estimate. We develop a stochastic optimization framework with alternating updates among missing values, model parameters, and latent variables until convergence. Our theoretical analysis shows that estimates of missing values from MissBGM converge consistently under mild assumptions. Empirically, we demonstrate that MissBGM achieves superior performance over traditional imputers and recent neural network-based methods across extensive experimental settings. These results establish MissBGM as a principled and scalable solution for modern missing data imputation. The code for MissBGM is open sourced at https://github.com/liuq-lab/MissBGM.

📄 PDF Abstract BibTeX arXiv:2605.01676

Code (0)

등록된 구현이 없습니다.

Tasks

Stochastic OptimizationBayesian Inference

Similar Papers 제목 키워드 기반

Imputation-Powered Inference

2025-09-17 · Sarah Zhao, Emmanuel Candès arxiv

Modern multi-modal and multi-site data frequently suffer from blockwise missingness, where subsets of features are missing for groups of individuals, creating complex patterns that challenge standard inference methods. E…

UAFS: Uncertainty-Aware Feature Selection for Problems with Missing Data

2019-04-02 · Andrew J. Becker, James P. Bagrow

Missing data are a concern in many real world data sets and imputation methods are often needed to estimate the values of missing data, but data sets with excessive missingness and high dimensionality challenge most appr…

feature selectionImputation

MIRACLE: Causally-Aware Imputation via Learning Missing Data Mechanisms

2021-11-04 · NeurIPS 2021 12 · Trent Kyono, Yao Zhang, Alexis Bellot, Mihaela van der Schaar

Missing data is an important problem in machine learning practice. Starting from the premise that imputation methods should preserve the causal structure of the data, we develop a regularization scheme that encourages an…

Imputation

Learning What Not to Impute: An Uncertainty-Aware Diffusion Framework for Meaningful Missingness

2026-06-03 · Lixing Zhang, Yidong Ouyang, Weifu Li, Shixiang Zhu 외 arxiv

Missing value imputation is a fundamental task in machine learning, with most existing methods assuming that all missing entries correspond to unobserved regular values. In many real-world datasets, however, missingness …

Nearly Optimal Bayesian Inference for Structural Missingness

2026-01-26 · Chen Liang, Donghua Yang, Yutong Zhao, Tianle Zhang 외 arxiv

Structural missingness breaks 'just impute and train': values can be undefined by causal or logical constraints, and the mask may depend on observed variables, unobserved variables (MNAR), and other missingness indicator…

Bayesian Inference