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To Predict or Not to Predict? Proportionally Masked Autoencoders for Tabular Data Imputation

AAAI 2025 · Label-efficient and robust learning › Recognition and long-tail · approach: Data augmentation and generalization bias

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Proposes PMAE, a masked autoencoder for tabular imputation that masks columns in proportion to their observed rates via a logit-based masking function, plus MLP-Mixer token mixing, and reports gains over ReMasker and other baselines.

Problem

Uniform random masking in masked autoencoders disrupts the column-wise missingness distribution of heterogeneous tabular data, leading to suboptimal imputation, especially for general (non-monotone) missing patterns.

Approach

Compute column-wise observed proportions and apply a logit-transformed masking function so that columns with fewer observations are masked (prioritizing prediction) less or more as designed, with loss balanced by inverse observed proportions; replace self-attention token mixing with MLP-Mixer blocks.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use proportional logit masking instead of constant masking (ablation)PMAE · 9 datasets, 3 missing patterns, MNARImputation accuracy: 34.7 -> 43.1Helped
Replace the ReMasker loss with the proposed loss (ablation)ReMasker · Shoppers, Wine, DiabetesImputation accuracy: 34.7 -> 36.2Helped
Replace Transformer with MLP-Mixer (ablation)PMAE-trf · Shoppers, Wine, DiabetesImputation accuracy: 43.1 -> 44.2Helped
Use proportional logit masking rather than constant masking (ablation)PMAE-trf · Shoppers, Wine, DiabetesImputation accuracy: 33.4 -> 35.4Helped
Remove reconstruction from the training objective (ablation)PMAE-trf · Shoppers, Wine, DiabetesImputation accuracy: 35.4 -> 7.7Hurt
Remove prediction from the training objective (ablation)PMAE-trf · Shoppers, Wine, DiabetesImputation accuracy: 35.4 -> 8.6Hurt
Use linear masking instead of logit masking (ablation)PMAE-trf · Shoppers, Wine, DiabetesImputation accuracy: 35.4 -> 34.8Hurt
Reverse masking direction to mask in proportion to observed proportion (ablation)PMAE-trf · Shoppers, Wine, DiabetesImputation accuracy: 35.4 -> 31.9Hurt
Use piece-wise masking instead of logit masking (ablation)PMAE-trf · Shoppers, Wine, DiabetesImputation accuracy: 35.4 -> 33.6Hurt
Use sigmoid-like masking with reversed concavities (ablation)PMAE-trf · Shoppers, Wine, DiabetesImputation accuracy: 35.4 -> 33.7Hurt
Use MLP-Mixer instead of TransformerPMAE · 9 datasets, 3 missing patterns, MNARDT (reg): 25.2 -> 24.8Hurt

Surprising findings

Limitations

Experimental setup

Datasets: Diabetes Wine Obesity Bike Shoppers Letter Default News Adult

Benchmarks: Diabetes Wine Obesity Bike Shoppers Letter Default News Adult

Metrics: Imputation Accuracy R^2 Accuracy RMSE downstream task AUROC/R^2

Baselines: Naive KNN EM MissForest MiceForest MIWAE GAIN MIRACLE HyperImpute TDM ReMasker IGRM

Builds on: ReMasker MLP-Mixer inverse propensity score weighting

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