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This research introduces the Integrated Imputation and Classification Network (IICN), a novel architecture that jointly optimizes missing data estimation and supervised classification to achieve Bayes-optimal performance. By adversarially training an imputer alongside a discriminator, the method outperforms traditional decoupled pipelines on standard benchmarks like FashionMNIST and CIFAR-10. The work advances fundamental machine learning theory by proving that this integrated approach effectively marginalizes over missing coordinates without relying on external generative models.
Integrated Imputation-Classification for Supervised Learning with Missing Data
arXiv:2610.04273v1 Announce Type: new Abstract: We study supervised classification problems with missing feature values. Existing approaches often decouple imputation from classification, producing imputations that may be plausible but uninformative for prediction. Instead, we propose the Integrated Imputation and Classification Network (IICN), which jointly trains an imputer and an ${(n{+}1)}$-classdiscriminator adversarially with a single class supervised classification objective, where the discriminator learns to distinguish among the $n$ true classes and an additional ``imputed" class. We prove that at the global optimum, the imputer and discriminator together implement marginalization over missing coordinates and yield a Bayes-optimal classifier. We evaluate IICN on FashionMNIST, CIFAR-10, and tabular datasets with naturally occurring missingness. IICN outperforms classical impute-then-classify pipelines and recent generative baselines, showing strong robustness and accuracy in challenging settings.
Abstract:We study supervised classification problems with missing feature values. Existing approaches often decouple imputation from classification, producing imputations that may be plausible but uninformative for prediction. Instead, we propose the Integrated Imputation and Classification Network (IICN), which jointly trains an imputer and an ${(n{+}1)}$-classdiscriminator adversarially with a single class supervised classification objective, where the discriminator learns to distinguish among the $n$ true classes and an additional ``imputed" class. We prove that at the global optimum, the imputer and discriminator together implement marginalization over missing coordinates and yield a Bayes-optimal classifier. We evaluate IICN on FashionMNIST, CIFAR-10, and tabular datasets with naturally occurring missingness. IICN outperforms classical impute-then-classify pipelines and recent generative baselines, showing strong robustness and accuracy in challenging settings.
Machine Learning (cs.LG)
arXiv:2610.04273 [cs.LG]
(or arXiv:2610.04273v1 [cs.LG] for this version)
https://doi.org/10.48550/arXiv.2610.04273 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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