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To Predict or Not to Predict? Proportionally Masked Autoencoders for Tabular Data Imputation
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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
- PMAE-mix reaches 44.2 average imputation accuracy versus 34.7 for ReMasker (27.3% gain for PMAE-trf over ReMasker) across 9 datasets and 3 patterns under MNAR.
- PMAE outperforms ReMasker by up to 34.1% on the General missing pattern.
- Ablation: replacing uniform 0.5 masking with the logit masking function raises PMAE-trf from 34.7-level baseline to 43.1 (+20.0% relative to ReMasker-style loss setup).
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use proportional logit masking instead of constant masking (ablation) | PMAE · 9 datasets, 3 missing patterns, MNAR | Imputation accuracy: 34.7 -> 43.1 | Helped |
| Replace the ReMasker loss with the proposed loss (ablation) | ReMasker · Shoppers, Wine, Diabetes | Imputation accuracy: 34.7 -> 36.2 | Helped |
| Replace Transformer with MLP-Mixer (ablation) | PMAE-trf · Shoppers, Wine, Diabetes | Imputation accuracy: 43.1 -> 44.2 | Helped |
| Use proportional logit masking rather than constant masking (ablation) | PMAE-trf · Shoppers, Wine, Diabetes | Imputation accuracy: 33.4 -> 35.4 | Helped |
| Remove reconstruction from the training objective (ablation) | PMAE-trf · Shoppers, Wine, Diabetes | Imputation accuracy: 35.4 -> 7.7 | Hurt |
| Remove prediction from the training objective (ablation) | PMAE-trf · Shoppers, Wine, Diabetes | Imputation accuracy: 35.4 -> 8.6 | Hurt |
| Use linear masking instead of logit masking (ablation) | PMAE-trf · Shoppers, Wine, Diabetes | Imputation accuracy: 35.4 -> 34.8 | Hurt |
| Reverse masking direction to mask in proportion to observed proportion (ablation) | PMAE-trf · Shoppers, Wine, Diabetes | Imputation accuracy: 35.4 -> 31.9 | Hurt |
| Use piece-wise masking instead of logit masking (ablation) | PMAE-trf · Shoppers, Wine, Diabetes | Imputation accuracy: 35.4 -> 33.6 | Hurt |
| Use sigmoid-like masking with reversed concavities (ablation) | PMAE-trf · Shoppers, Wine, Diabetes | Imputation accuracy: 35.4 -> 33.7 | Hurt |
| Use MLP-Mixer instead of Transformer | PMAE · 9 datasets, 3 missing patterns, MNAR | DT (reg): 25.2 -> 24.8 | Hurt |
Surprising findings
- MLP-Mixer token mixing (PMAE-mix) outperforms Transformer-based PMAE-trf, contrary to the common assumption that attention is superior.
- The paper reports the rank of ReMasker shifts when using RMSE, showing metric choice changes method ordering.
Limitations
- Does not analyze the relationship between covariance structure and the proportional masking scheme.
- Evaluated only with semi-synthetic missingness on nine tabular datasets.
- Hyperparameters a and b are fixed from a grid search on validation datasets rather than learned.
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
Closest papers by meaning
- ReMasker: Imputing Tabular Data with Masked Autoencoding (ICLR 2024 · similarity 0.93)
- CACTI: Leveraging Copy Masking and Contextual Information to Improve Tabular Data Imputation (ICML 2025 · similarity 0.90)
- Hybrid Autoencoders for Tabular Data: Leveraging Model-Based Augmentation in Low-Label Settings (NeurIPS 2025 · similarity 0.86)
- Discretizing Continuous Time Series for Imputation with Masked Diffusion Training (NeurIPS 2026 · similarity 0.85)
- Self-Guided Masked Autoencoder (NeurIPS 2024 · similarity 0.85)
- Learning What Not to Impute: An Uncertainty-Aware Diffusion Framework for Meaningful Missingness (NeurIPS 2026 · similarity 0.85)
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