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Understanding and Mitigating Memorization in Diffusion Models for Tabular Data
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Investigates memorization in tabular diffusion models (TabSyn, TabDDPM, STaSy), explains it theoretically via the optimal score, and proposes TabCutMix and TabCutMixPlus cross-sample feature-swap augmentations that reduce memorization while keeping synthetic data quality.
Problem
Memorization, where tabular diffusion models replicate near-identical training records, is largely unexplored for tabular data, and it raises privacy and generalization concerns.
Approach
Adapt CutMix to tabular data by swapping random feature segments between same-class training pairs (TabCutMix), and cluster correlated features so that swaps keep correlated features together (TabCutMixPlus) to reduce out-of-distribution generation.
Key results
- TabCutMix reduces TabSyn memorization ratio on Default from 20.11% to 16.86% (16.16% relative) and on Shoppers from 27.68% to 25.38% (aside from TCMP results).
- TabCutMixPlus keeps higher data quality than TabCutMix in several metrics, e.g., Default TabSyn alpha-precision 97.61% vs 96.16% for TCM.
- Memorization ratio increases with training epochs and is larger for smaller training sets, with Magic reaching about 80% memorization for TabSyn.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Add TabCutMix | TabSyn · Default | memorization ratio: 20.11 ± 0.03 -> 16.86 ± 1.36 | Helped |
| Add TabCutMixPlus | TabSyn · Adult | memorization ratio: 29.26 ± 0.23 -> 25.99 ± 0.52 | Helped |
| Add TabCutMix | TabSyn · Shoppers | memorization ratio: 27.68 ± 0.10 -> 25.38 ± 0.18 | Helped |
| Add TabCutMixPlus | TabSyn · Default | MLE: 76.84% -> 77.17% | Helped |
| Add TabCutMixPlus | TabSyn · Default | α-precision: 96.16% -> 97.61% | Helped |
| Add TabCutMix | STaSy · Default | memorization ratio: 17.57 ± 0.53 -> 14.51 ± 0.46 | Helped |
| Add TabCutMixPlus | TabDDPM · Default | memorization ratio: 19.33 ± 0.45 -> 18.00 ± 0.24 | Helped |
| Increase TabCutMix augmentation ratio from 0% to 100% (ablation) | TabSyn · Default | memorization ratio: 20.11% -> 15.34% | Helped |
| Increase TabCutMix augmentation ratio from 0% to 100% (ablation) | TabSyn · Shoppers | memorization ratio: 27.68% -> 22.06% | Helped |
| Add TabCutMixPlus instead of TabCutMix | TabSyn · Default | memorization ratio: 16.86 ± 1.36 -> 17.60 ± 0.28 | Hurt |
| Add TabCutMixPlus instead of TabCutMix | TabSyn · Adult | memorization ratio: 27.03 ± 0.22 -> 25.99 ± 0.52 | Helped |
| Add TabCutMix | TabSyn · Shoppers | memorization ratio: 27.68 ± 0.10 -> 28.01 ± 0.46 | Hurt |
Surprising findings
- Under the paper's own metrics, TabCutMix reduces memorization more than TabCutMixPlus, though TabCutMixPlus gives better data quality.
- Mixup and SMOTE sometimes reduce memorization but at large cost to C2ST and shape/trend scores (e.g., SMOTE trend score 32.70% on Default TabSyn).
Limitations
- Theoretical result relies on idealized assumptions (perfect score network, infinitesimal SDE step) and is only partly applicable to the VAE-based TabSyn.
- Memorization is measured by a distance-ratio threshold heuristic adapted from image generation rather than a verbatim criterion.
- Limited to four classification datasets in the main analysis and no public code release statement beyond a GitHub link.
Experimental setup
Datasets: Adult Default Shoppers Magic
Benchmarks: Adult Default Shoppers Magic
Metrics: memorization ratio Mem-AUC MLE AUC alpha-precision beta-recall shape score trend score C2ST DCR
Baselines: Mixup SMOTE STaSy TabDDPM TabSyn CTGAN TVAE
Builds on: CutMix TabDDPM TabSyn STaSy
Closest papers by meaning
- TabDiff: a Mixed-type Diffusion Model for Tabular Data Generation (ICLR 2025 · similarity 0.90)
- How Diffusion Models Memorize (NeurIPS 2026 · similarity 0.88)
- Detecting, Explaining, and Mitigating Memorization in Diffusion Models (ICLR 2024 · similarity 0.88)
- On the Edge of Memorization in Diffusion Models (NeurIPS 2025 · similarity 0.88)
- Continuous Diffusion for Mixed-Type Tabular Data (ICLR 2025 · similarity 0.87)
- On the Memorization of Consistency Distillation for Diffusion Models (NeurIPS 2026 · similarity 0.87)
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