Immor278 / DPSUR

DPSUR

DPSUR

DPSUR: Accelerating Differentially Private Stochastic Gradient Descent Using Selective Update and Release

Installation

You can install all requirements with:

pip install -r requirements.txt

Results

This table presents the main results from our paper. For each dataset, we target the privacy budget epsilon={1, 2, 3, 4} and fixed delta=1e-5. For all experiments, we report the average test acc of 5 independent trials.

Dataset	epsilon=1	epsilon=2	epsilon=3	epsilon=4
MNIST	97.93%	98.70%	98.88%	98.95%
Fashion-MNIST	88.38%	89.34%	89.71%	90.18%
CIFAR-10	64.41%	69.40%	70.83%	71.45%
IMDB	66.50%	71.02%	72.16%	74.14%

Parameters

During the DPSGD phase, for the three image datasets, we adopted the best parameters recommended in Differentially Private Learning Needs Better Features (Or Much More Data). Specifically, we fine-tuned the noise multiplier sigma_t for the various values of privacy budget epsilon, following the approach outlined in Differentially Private Learning Needs Better Features (Or Much More Data) and DPIS: An Enhanced Mechanism for Differentially Private SGD with Importance Sampling .

For the selection of the parameter sigma_v we have provided the following recommendations:

Dataset	epsilon=1	epsilon=2	epsilon=3	epsilon=4
MNIST	1.3	1.0	0.9	0.8
Fashion-MNIST	1.3	1.3	0.8	0.8
CIFAR-10	1.3	1.3	1.1	1.1
IMDB	1.3	1.2	1.0	0.9

To reproduce the results for linear ScatterNet models, run:

MNIST

python main.py --algorithm DPSUR --dataset_name MNIST  --sigma_t 2.0 --lr 2.0 --batch_size 1024  --C_v=0.001 --sigma_v=1.3 --bs_valid=256 --beta=-1 --input_norm=BN --bn_noise_multiplier=8 --use_scattering --eps=1.0
python main.py --algorithm DPSUR --dataset_name MNIST  --sigma_t 1.5 --lr 2.0 --batch_size 1024  --C_v=0.001 --sigma_v=1.0 --bs_valid=256 --beta=-1 --input_norm=BN --bn_noise_multiplier=8 --use_scattering --eps=2.0
python main.py --algorithm DPSUR --dataset_name MNIST  --sigma_t 1.35 --lr 2.0 --batch_size 1024 --C_v=0.001 --sigma_v=0.9 --bs_valid=256 --beta=-1 --input_norm=BN --bn_noise_multiplier=8 --use_scattering --eps=3.0
python main.py --algorithm DPSUR --dataset_name MNIST  --sigma_t 1.35 --lr 2.0 --batch_size 1024 --C_v=0.001 --sigma_v=0.8 --bs_valid=256 --beta=-1 --input_norm=BN --bn_noise_multiplier=8 --use_scattering --eps=4.0

FMNIST

python main.py --algorithm DPSUR --dataset_name FMNIST  --sigma 4.0 --lr 4.0  --batch_size 2048 --C_v=0.001 --sigma_v=1.3 --bs_valid=256 --beta=-1 --input_norm=GroupNorm --num_groups=27 --use_scattering --eps=1.0
python main.py --algorithm DPSUR --dataset_name FMNIST  --sigma 2.15 --lr 4.0 --batch_size 2048 --C_v=0.001 --sigma_v=1.3 --bs_valid=256 --beta=-1 --input_norm=GroupNorm --num_groups=27 --use_scattering --eps=2.0
python main.py --algorithm DPSUR --dataset_name FMNIST  --sigma 2.15 --lr 4.0 --batch_size 2048 --C_v=0.001 --sigma_v=0.8 --bs_valid=256 --beta=-1 --input_norm=GroupNorm --num_groups=27 --use_scattering --eps=3.0
python main.py --algorithm DPSUR --dataset_name FMNIST  --sigma 2.15 --lr 4.0 --batch_size 2048 --C_v=0.001 --sigma_v=0.8 --bs_valid=256 --beta=-1 --input_norm=GroupNorm --num_groups=27 --use_scattering --eps=4.0

CIFAR10

python main.py --algorithm DPSUR --dataset_name CIFAR-10 --sigma 11.0 --lr 4.0 --batch_size 8192 --C_v=0.001 --sigma_v=1.3 --bs_valid=256 --beta=-1 --input_norm=BN --bn_noise_multiplier=8 --use_scattering --eps=1.0
python main.py --algorithm DPSUR --dataset_name CIFAR-10 --sigma 9.0  --lr 4.0 --batch_size 8192 --C_v=0.001 --sigma_v=1.3 --bs_valid=256 --beta=-1 --input_norm=BN --bn_noise_multiplier=8 --use_scattering --eps=2.0
python main.py --algorithm DPSUR --dataset_name CIFAR-10 --sigma 5.67 --lr 4.0 --batch_size 8192 --C_v=0.001 --sigma_v=1.1 --bs_valid=256 --beta=-1 --input_norm=BN --bn_noise_multiplier=8 --use_scattering --eps=3.0
python main.py --algorithm DPSUR --dataset_name CIFAR-10 --sigma 5.67 --lr 4.0 --batch_size 8192 --C_v=0.001 --sigma_v=1.1 --bs_valid=256 --beta=-1 --input_norm=BN --bn_noise_multiplier=8 --use_scattering --eps=4.0

IMDB

IMDB is not suppot ScatterNet models

python main.py --algorithm DPSUR --dataset_name IMDB  --sigma 2.0 --lr 0.02  --batch_size 1024 --C_v=0.001 --sigma_v=1.3 --bs_valid=256 --beta=-1 --eps=1.0
python main.py --algorithm DPSUR --dataset_name IMDB  --sigma 1.8 --lr 0.02  --batch_size 1024 --C_v=0.001 --sigma_v=1.2 --bs_valid=256 --beta=-1 --eps=2.0
python main.py --algorithm DPSUR --dataset_name IMDB  --sigma 1.35 --lr 0.02 --batch_size 1024 --C_v=0.001 --sigma_v=1.0 --bs_valid=256 --beta=-1 --eps=3.0
python main.py --algorithm DPSUR --dataset_name IMDB  --sigma 1.23 --lr 0.02 --batch_size 1024 --C_v=0.001 --sigma_v=0.9 --bs_valid=256 --beta=-1 --eps=4.0

Here few additional parameters are used in the DPSGD with ScatterNet, which is deived from Differentially Private Learning Needs Better Features (Or Much More Data) and Code.

• The input_norm parameter determines how the ScatterNet features are normalized. We support Group Normalization (input_norm=GN) and (frozen) Batch Normalization (input_norm=BN).
• When using Group Normalization, the num_groups parameter specifies the number of groups into which to split the features for normalization.
• When using Batch Normalization, we first privately compute the mean and variance of the features across the entire training set. This requires adding noise to these statistics. The bn_noise_multiplier specifies the scale of the noise.

When using Batch Normalization, we compose the privacy losses of the normalization step and of the DP-SGD algorithm. Specifically, we first compute the Rényi-DP budget for the normalization step, and then compute the noise_multiplier of the DP-SGD algorithm so that the total privacy budget is used after a fixed number of epochs.

comparison algorithms

You can run other comparison algorithms by simply modifying the '--algorithm=[algorithm name]' parameter, such as DPSGD-HF, DPSGD-TS, DPAGD and DPSGD. Please note that we successfully reached the authors of DPIS and obtained their source code. However, we have not published it on our GitHub repository, as the author of DPIS has not granted us permission for public release. If you are interested in DPIS, you may wish to contact the author directly.

In addition, for the DPAGD algorithm, it comes with its own set of additional parameters. In this code, we have adhered to the recommendations provided in the original paper and used the same symbols for ease of understanding. It's worth noting that the DPAGD algorithm utilizes the SGD optimizer across all datasets. To facilitate replication, we have provided the following example of how DPAGD can be executed:

MNIST

python main.py --algorithm DPAGD --dataset_name MNIST  --sigma_t 2.0 --lr 2.0 --batch_size 1024 --C_v=3.0 --sigma_v=1.5  --eps=1.0
python main.py --algorithm DPAGD --dataset_name MNIST  --sigma_t 1.5 --lr 2.0 --batch_size 1024 --C_v=3.0 --sigma_v=1.5 --eps=2.0
python main.py --algorithm DPAGD --dataset_name MNIST  --sigma_t 1.35 --lr 2.0 --batch_size 1024 --C_v=3.0 --sigma_v=1.5  --eps=3.0
python main.py --algorithm DPAGD --dataset_name MNIST  --sigma_t 1.35 --lr 2.0 --batch_size 1024 --C_v=3.0 --sigma_v=1.5 --eps=4.0

FMNIST

python main.py --algorithm DPAGD --dataset_name FMNIST  --sigma_t 4.0 --lr 4.0  --batch_size 2048 --C_v=3.0 --sigma_v=2.0   --eps=1.0
python main.py --algorithm DPAGD --dataset_name FMNIST  --sigma_t 2.15 --lr 4.0 --batch_size 2048 --C_v=3.0 --sigma_v=2.0  --eps=2.0
python main.py --algorithm DPAGD --dataset_name FMNIST  --sigma_t 2.15 --lr 4.0 --batch_size 2048 --C_v=3.0 --sigma_v=2.0   --eps=3.0
python main.py --algorithm DPAGD --dataset_name FMNIST  --sigma_t 2.15 --lr 4.0 --batch_size 2048 --C_v=3.0 --sigma_v=2.0  --eps=4.0

CIFAR10

python main.py --algorithm DPAGD --dataset_name CIFAR-10 --sigma_t 11.0 --lr 4.0 --batch_size 8192 --C_v=3.0 --sigma_v=15.0 --eps=1.0
python main.py --algorithm DPAGD --dataset_name CIFAR-10 --sigma_t 9.0  --lr 4.0 --batch_size 8192 --C_v=3.0 --sigma_v=15.0 --eps=2.0
python main.py --algorithm DPAGD --dataset_name CIFAR-10 --sigma_t 5.67 --lr 4.0 --batch_size 8192 --C_v=3.0 --sigma_v=15.0  --eps=3.0
python main.py --algorithm DPAGD --dataset_name CIFAR-10 --sigma_t 5.67 --lr 4.0 --batch_size 8192 --C_v=3.0 --sigma_v=15.0  --eps=4.0

IMDB

IMDB is not suppot ScatterNet models

python main.py --algorithm DPAGD --dataset_name IMDB  --sigma_t 2.0  --lr 4.0  --batch_size 1024 --C_v=3.0 --sigma_v=5.0  --eps=1.0
python main.py --algorithm DPAGD --dataset_name IMDB  --sigma_t 1.8 --lr 4.0  --batch_size 1024 --C_v=3.0 --sigma_v=5.0  --eps=2.0
python main.py --algorithm DPAGD --dataset_name IMDB  --sigma_t 1.35 --lr 4.0 --batch_size 1024 --C_v=3.0 --sigma_v=5.0  --eps=3.0
python main.py --algorithm DPAGD --dataset_name IMDB  --sigma_t 1.23 --lr 4.0 --batch_size 1024 --C_v=3.0 --sigma_v=5.0  --eps=4.0

Member Inference Attacks

In Member Inference Attacks setting, we do not support scattering networks. And for each dataset, we randomly split it into four subsets: the target training dataset, target testing dataset, shadow training dataset, and shadow testing dataset. The ratio of the sample sizes in each subset is 2:1:2:1.

We adopt two membership inference attacks, Black-Box/Shadow (ML-Leaks: Model and Data Independent Membership Inference Attacks and Defenses on Machine Learning Models and White-Box/Partial (Comprehensive Privacy Analysis of Deep Learning: Passive and Active White-box Inference Attacks against Centralized and Federated Learning ) , which are the SOTA methods in membership inference attack to our knowledge.

Our target model and training parameters are consistent with those described above. We can run MIA through adding the following to the above settings:

-- MIA=True