FERRET: Private Deep Learning Faster And Better Than DPSGD

TL;DR

FERRET introduces a privacy-preserving deep learning method using 1-bit gradient compression with Bernoulli masking, achieving faster training, better utility, and formal privacy guarantees without additive noise, outperforming DPSGD.

Contribution

FERRET presents a novel MI-DP framework with 1-bit gradient compression and Bernoulli masking, enabling faster training with strong privacy guarantees and improved utility over existing methods.

Findings

FERRET outperforms DPSGD in perplexity across multiple models and epochs.

FERRET achieves formal MI-DP guarantees without additive noise.

FERRET trains up to 5 times faster than DPSGD while maintaining privacy and utility.

Abstract

We revisit 1-bit gradient compression through the lens of mutual-information differential privacy (MI-DP). Building on signSGD, we propose FERRET--Fast and Effective Restricted Release for Ethical Training--which transmits at most one sign bit per parameter group with Bernoulli masking. Theory: We prove each fired group leaks at most ln 2 nats; after subsampling with rate s, the total privacy loss of G groups trained for T steps with firing probability p is epsilon = G * T * s * p * ln 2. Thus FERRET achieves MI-DP for epsilon in [0.1, 2] without additive noise. Practice: We evaluate three granularities--FERRET-MAX (finest), FERRET-EIGHTH (medium), and FERRET-2 (coarsest)--on five LLMs (137M-1.8B parameters) against DPSGD and Non-DP baselines. All methods trained for 1, 3, and 5 epochs. Utility: Across all settings, FERRET-MAX/EIGHTH beat DPSGD's perplexity. At epsilon=0.5, 5 epochs: FERRET-EIGHTH achieves 3.98 perplexity vs DPSGD's 11.61 (2.9x better), within 23% of Non-DP (3.25). Privacy: MI-AUC stays at chance for FERRET-MAX/EIGHTH (~0.51), matching DPSGD vs Non-DP's 0.76-0.99. FERRET-2 shows higher leakage (~0.55) due to lower headroom. Efficiency: Stricter budgets fire fewer signs, so FERRET uses 19-33% of DPSGD's training time and only 34-36% of Non-DP training time. Take-away: Sign-based MI-DP gets closer to achieving all three qualities of the privacy, utility, performance trilemma: FERRET trains up to 5x faster, achieves 3x lower perplexity compared to DPSGD and 1.2x greater than Non-DP, all while providing formal, mathematically provable privacy guarantees using zero additive noise. The results also show that, in certain instances, masked 1-bit updates can match non-private training utility while safeguarding data.