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On the Benefits of Public Representations for Private Transfer Learning under Distribution Shift

NeurIPS 2024 · Federated learning and privacy › Personalized and heterogeneous FL · approach: Federated prompt and LoRA tuning · 0 citations (OpenAlex)

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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

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use pretrained public features for private training instead of training from scratchPCam · PCamaccuracy: up to 4%Helped
Use pretrained public features for private training instead of training from scratchfMoW · fMoWaccuracyHelped
Use pretrained public features for private training instead of training from scratchRESISC45 · RESISC45accuracy: up to 67%Helped
Fix pretrained features and train a linear probe instead of privately finetuning the full modelPrivate transfer learning · PCam, fMoW, and RESISC45accuracyHelped
Use linear probing instead of full finetuningPrivate transfer learning · RESISC45accuracy: over 50%Helped
Pretrain features on a 14M subset of Datacomp-1B instead of LAION-2BPrivate linear probing · PCam, fMoW, and RESISC45accuracyHurt
Increase public samples for subspace estimation from n1=500 to n1=2000Two-phase private transfer algorithm · Simulated linear regressionparameter errorHelped

Surprising findings

Limitations

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

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