mlsanityData to 14 Oct 2026

Multiple Imputation via Generative Adversarial Network for High-dimensional Blockwise Missing Value Problems

arXiv 2112.11507 ↗First posted 21 Dec 2021cs.LG stat.APcited by 15

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Abstract (arXiv)

Missing data are present in most real world problems and need careful handling to preserve the prediction accuracy and statistical consistency in the downstream analysis. As the gold standard of handling missing data, multiple imputation (MI) methods are proposed to account for the imputation uncertainty and provide proper statistical inference. In this work, we propose Multiple Imputation via Generative Adversarial Network (MI-GAN), a deep learning-based (in specific, a GAN-based) multiple imputation method, that can work under missing at random (MAR) mechanism with theoretical support. MI-GAN leverages recent progress in conditional generative adversarial neural works and shows strong performance matching existing state-of-the-art imputation methods on high-dimensional datasets, in terms of imputation error. In particular, MI-GAN significantly outperforms other imputation methods in the sense of statistical inference and computational speed.

Key facts. Cited by 15 papers in the map (data through 14 Oct 2026). Builds on 8 of its 28 references that are in the map. First posted on arXiv 21 Dec 2021.

Builds on

8 of 28 references.

References · 8

  1. 2017Improved Training of Wasserstein GANscited by 2,235
  2. 2018GAIN: Missing Data Imputation using Generative Adversarial Netscited by 352
  3. 2014Matrix Completion and Low-Rank SVD via Fast Alternating Least Squarescited by 104
  4. 2020Missing Data Imputation using Optimal Transportcited by 100
  5. 2019MisGAN: Learning from Incomplete Data with Generative Adversarial Networkscited by 75
  6. 2018Variational Autoencoder with Arbitrary Conditioningcited by 68
  7. 2019Inference and Uncertainty Quantification for Noisy Matrix Completioncited by 39
  8. 2019CollaGAN : Collaborative GAN for Missing Image Data Imputationcited by 33

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Citing papers per year: 2022: 5; 2023: 4; 2024: 5; 2025: 1.

15 papers.

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