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United We Stand: Accelerating Privacy-Preserving Neural Inference by Conjunctive Optimization with Interleaved Nexus
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Proposes COIN, a conjunctive optimization for privacy-preserving neural inference that jointly computes consecutive ReLU and convolution/FC blocks with interleaved offline share pregeneration, removing HE rotations and making online crypto cost independent of filter size.
Problem
Computation efficiency of mixed-primitive privacy-preserving MLaaS (HE for linear layers, MPC for nonlinear layers) is limited by expensive HE rotations, which function-wise optimization cannot remove.
Approach
Instead of optimizing each function separately, jointly compute a composite ReLU-then-linear function by unfolding terms into client/server pregenerated shares, eliminating rotations and making online cost independent of filter size; also adapt network structure (MaxPool/MeanPool/BN reordering) to expose more such composite blocks.
Key results
- COIN achieves 11.2x to 29.6x speedup on composite fcfr function microbenchmarks versus CrypTFlow2 across tested dimensions.
- End-to-end online speedups of 6.4x (VGG-19) and 7x (ResNet-34) on CIFAR10, and 12x (VGG-19) and 8.6x (ResNet-34) on ImageNet versus CrypTFlow2.
- COIN eliminates all HE rotations in the composite function and makes online crypto complexity independent of filter size.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| replace function-wise computation with COIN conjunctive optimization | fcfr at 14×14@512, kernel 1×3@512 · modern-network function benchmark | online time: 39.2 -> 1.32 s | Helped |
| replace function-wise computation with COIN conjunctive optimization | fcfr at 28×28@128, kernel 1×3@128 · modern-network function benchmark | online time: 11.27 -> 1 s | Helped |
| replace function-wise computation with COIN conjunctive optimization | fcfr at 8×8@128, kernel 2×3@256 · modern-network function benchmark | online time: 6.75 -> 0.27 s | Helped |
| use COIN instead of CrypTFlow2 | VGG-19 · CIFAR10 | online inference time: 80.8 -> 12.5 s; 6.4× | Helped |
| use COIN instead of CrypTFlow2 | VGG-19 · CIFAR10 | communication: 0.36 -> 0.89 GB | Hurt |
| use COIN instead of CrypTFlow2 | ResNet-34 · CIFAR10 | online inference time: 116.6 -> 16.4 s; 7× | Helped |
| use COIN instead of CrypTFlow2 | ResNet-34 · CIFAR10 | communication: 0.27 -> 0.26 GB | No clear effect |
| use COIN instead of CrypTFlow2 | VGG-19 · ImageNet | online inference time: 2848.6 -> 235.8 s; 12× | Helped |
| use COIN instead of CrypTFlow2 | VGG-19 · ImageNet | communication: 17.3 -> 15.5 GB | Helped |
| use COIN instead of CrypTFlow2 | ResNet-34 · ImageNet | online inference time: 670.5 -> 77.4 s; 8.6× | Helped |
| use COIN instead of CrypTFlow2 | ResNet-34 · ImageNet | communication: 5 -> 5.2 GB | Hurt |
Surprising findings
- Communication cost increases over VGG-19 on CIFAR10 (0.89 GB vs 0.36 GB for CrypTFlow2) because MaxPool forces offline work into the online phase.
Limitations
- MaxPool outputs are not pregenerable, so offline work spills into online phase and raises communication for some networks such as VGG-19 on CIFAR10.
- Currently restricted to ReLU followed by convolution/FC; extension to leaky ReLU, piecewise linear functions and transformer blocks is untested.
- Security is only semi-honest.
Experimental setup
Datasets: CIFAR10 ImageNet
Benchmarks: CIFAR10 ImageNet
Metrics: online running time speedup communication cost (MB/GB) offline/online breakdown
Baselines: CrypTFlow2 Cheetah GAZELLE DELPHI
Builds on: CrypTFlow2 Cheetah DELPHI GAZELLE
Closest papers by meaning
- CipherPrune: Efficient and Scalable Private Transformer Inference (ICLR 2025 · similarity 0.86)
- PrivDNFIS: Privacy-preserving and Efficient Deep Neuro-Fuzzy Inference System (AAAI 2025 · similarity 0.86)
- DCT-CryptoNets: Scaling Private Inference in the Frequency Domain (ICLR 2025 · similarity 0.86)
- Encryption-Friendly LLM Architecture (ICLR 2025 · similarity 0.85)
- Practical Privacy-Preserving MLaaS: When Compressive Sensing Meets Generative Networks (AAAI 2024 · similarity 0.85)
- Certification for Differentially Private Prediction in Gradient-Based Training (ICML 2025 · similarity 0.85)
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