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On the Benefits of Public Representations for Private Transfer Learning under Distribution Shift
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Shows empirically that CLIP-based public features improve private transfer under extreme concept shift (up to 67% over private training from scratch), and theoretically that a shared low-rank subspace lets public pretraining reduce private sample complexity, with a matching two-stage lower bound.
Problem
Whether public pretraining helps differentially private learning when public and private tasks have large distribution shift (concept shift), where zero-shot and from-scratch private training both perform poorly.
Approach
Empirically, private linear probing and finetuning on off-the-shelf public CLIP features beat private training from scratch on out-of-distribution tasks; theoretically, a two-stage method (estimate shared low-rank subspace from public tasks via method of moments, then run DP-SGD in the projected k-dimensional space) achieves rates scaling with subspace rank k rather than ambient dimension d, plus
Key results
- Private linear probing on CLIP features improves accuracy over private training from scratch by up to 67% across PCam, fMoW, and RESISC45.
- Private linear probing consistently outperforms private full finetuning; on RESISC45 it beats full finetuning by over 50% at all epsilon levels.
- Zero-shot CLIP ViT-B/32 gets 51.2% on PCam (near random) and 1.64% on fMoW, while nonprivate linear probing reaches 83.5% on PCam and 42.1% on fMoW.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use pretrained public features for private training instead of training from scratch | PCam · PCam | accuracy: up to 4% | Helped |
| Use pretrained public features for private training instead of training from scratch | fMoW · fMoW | accuracy | Helped |
| Use pretrained public features for private training instead of training from scratch | RESISC45 · RESISC45 | accuracy: up to 67% | Helped |
| Fix pretrained features and train a linear probe instead of privately finetuning the full model | Private transfer learning · PCam, fMoW, and RESISC45 | accuracy | Helped |
| Use linear probing instead of full finetuning | Private transfer learning · RESISC45 | accuracy: over 50% | Helped |
| Pretrain features on a 14M subset of Datacomp-1B instead of LAION-2B | Private linear probing · PCam, fMoW, and RESISC45 | accuracy | Hurt |
| Increase public samples for subspace estimation from n1=500 to n1=2000 | Two-phase private transfer algorithm · Simulated linear regression | parameter error | Helped |
Surprising findings
- Private linear probing outperforms private full finetuning on all three out-of-distribution datasets, sometimes by large margins.
- Features from the smaller Datacomp-1B subset yield worse linear-probe accuracy than LAION-2B features, though still above training from scratch.
Limitations
- The linear low-rank subspace model is a simplification of neural network representations used in practice.
- The upper bound relies on an oracle subspace estimate and on method-of-moments conditions (task diversity) that may not hold in practice.
- Empirical evaluation covers only three datasets with a single CLIP ViT-B/32 backbone family.
Experimental setup
Datasets: PatchCamelyon fMoW RESISC45 LAION-2B Datacomp-1B (14M subset)
Benchmarks: PatchCamelyon fMoW RESISC45 CIFAR-10
Metrics: test accuracy l2 parameter error
Baselines: Zero-shot CLIP Training from scratch (private) Full finetuning (private) Linear probing (non-private) DP-SGD without subspace estimate
Builds on: DP-SGD method-of-moments subspace estimation for meta-learning PILLAR Opacus
Closest papers by meaning
- Position: Considerations for Differentially Private Learning with Large-Scale Public Pretraining (ICML 2024 · similarity 0.88)
- Differentially Private Prototypes for Imbalanced Transfer Learning (AAAI 2025 · similarity 0.86)
- In-distribution Public Data Synthesis with Diffusion Models for Differentially Private Image Classification (CVPR 2024 · similarity 0.85)
- Optimal Differentially Private Model Training with Public Data (ICML 2024 · similarity 0.85)
- It's My Data Too: Private ML for Datasets with Multi-User Training Examples (ICML 2025 · similarity 0.84)
- Public-data Assisted Private Stochastic Optimization: Power and Limitations (NeurIPS 2024 · similarity 0.84)
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