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Learning Robust and Privacy-Preserving Representations via Information Theory
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Proposes ARPRL, an information-theoretic representation learning framework that jointly learns representations robust to adversarial examples and resistant to attribute inference, with utility preservation, and derives tradeoff and privacy-leakage bounds.
Problem
Machine learning models are vulnerable to both adversarial examples and private attribute inference; existing defenses address these separately and can even worsen privacy when robust.
Approach
Combines mutual-information objectives for adversarial robustness (representation vulnerability on worst-case perturbations), attribute privacy (vCLUB upper bound on I(z;u)), and utility (JS MI lower bound on I(x;z|u)) into one task-agnostic representation learner, and derives theorems on robustness/utility vs. privacy tradeoffs.
Key results
- On CelebA with alpha=0.9, robust accuracy 0.71, test accuracy 0.81 and gender inference accuracy 0.57 (gap 0.07), versus 0.87 / 0.91 / 0.81 at alpha=0.
- In the task-known privacy comparison on CelebA at equal test accuracy 0.88, ARPRL reaches 0.71 attribute inference accuracy versus 0.70 for Deepobfuscator and 0.79 for DPFE.
- Task-agnostic ARPRL obtains 0.87 robust accuracy on CelebA versus 0.89 for TRADES, rising to 0.91 when task labels are used.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Increase α from 0 to 0.9 (ablation) | ARPRL · CelebA | attribute inference accuracy: 0.81 (0.31) -> 0.57 (0.07) | Helped |
| Increase α from 0 to 0.9 (ablation) | ARPRL · CelebA | test accuracy: 0.91 -> 0.81 | Hurt |
| Increase α from 0 to 0.9 (ablation) | ARPRL · CelebA | robust accuracy: 0.87 -> 0.71 | Hurt |
| Increase α from 0 to 0.15 (ablation) | ARPRL · Loans | attribute inference accuracy: 0.92 (0.22) -> 0.71 (0.01) | Helped |
| Increase α from 0 to 0.15 (ablation) | ARPRL · Loans | test accuracy: 0.74 -> 0.66 | Hurt |
| Increase α from 0 to 0.15 (ablation) | ARPRL · Loans | robust accuracy: 0.45 -> 0.39 | Hurt |
| Increase α from 0 to 0.20 (ablation) | ARPRL · Adult Income (gender) | attribute inference accuracy: 0.88 (0.33) -> 0.55 (0.00) | Helped |
| Increase α from 0 to 0.20 (ablation) | ARPRL · Adult Income (gender) | test accuracy: 0.68 -> 0.63 | Hurt |
| Increase α from 0 to 0.20 (ablation) | ARPRL · Adult Income (gender) | robust accuracy: 0.63 -> 0.53 | Hurt |
| Increase α from 0 to 0.01 (ablation) | ARPRL · Adult Income (marital status) | attribute inference accuracy: 0.70 (0.14) -> 0.57 (0.01) | Helped |
| Increase α from 0 to 0.01 (ablation) | ARPRL · Adult Income (marital status) | test accuracy: 0.71 -> 0.59 | Hurt |
| Increase α from 0 to 0.01 (ablation) | ARPRL · Adult Income (marital status) | robust accuracy: 0.56 -> 0.47 | Hurt |
Surprising findings
- Combining TRADES and Deepobfuscator for robustness and privacy gives a slightly worse tradeoff (0.79 robust, 0.84 test, 0.65 inference) than ARPRL, suggesting naive combination of SOTA methods is not the best option.
- Robust representations alone leak almost all private attribute information (near 100% inference accuracy on the toy example).
Limitations
- Mutual information neural estimators used are generally loose, so the bounds may not be tight.
- Privacy and robustness are controlled by hand-tuned alpha and beta, with a costly search.
- Attribute space is restricted to binary in the theory and attack evaluation, and the attacker is assumed not to access the representation learner.
Experimental setup
Datasets: CelebA Loans Adult Income synthetic two-circle toy dataset
Benchmarks: CelebA Loans Adult Income toy two-circle dataset
Metrics: robust accuracy (PGD) test accuracy attribute inference accuracy CW robust accuracy
Baselines: TRADES DPFE Deepobfuscator TRADES + Deepobfuscator
Builds on: representation vulnerability (Zhu et al. 2020) vCLUB MINE TRADES
Closest papers by meaning
- MaSS: Multi-attribute Selective Suppression for Utility-preserving Data Transformation from an Information-theoretic Perspective (ICML 2024 · similarity 0.87)
- Provable Robustness against Backdoor Attacks via the Primal-Dual Perspective on Differential Privacy (NeurIPS 2026 · similarity 0.86)
- Unifying Re-Identification, Attribute Inference, and Data Reconstruction Risks in Differential Privacy (NeurIPS 2025 · similarity 0.85)
- A Unified Framework for Adversary-Aware Differential Privacy Bounds (NeurIPS 2026 · similarity 0.85)
- PASS: Private Attributes Protection with Stochastic Data Substitution (ICML 2025 · similarity 0.85)
- Task-Agnostic Privacy-Preserving Representation Learning for Federated Learning against Attribute Inference Attacks (AAAI 2024 · similarity 0.85)
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