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## Similarity of Neural Networks with Gradients | ||
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## Introduction | ||
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This folder contains code for comparing trained neural networks using both feature and gradient information. The implementation relies on the following three files: | ||
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*sketched_kernels.py* computes the sketched kernel matrices of individual residual blocks based on a pretrained ImageNet model and a given dataset. | ||
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*sim_indices.py* computes the similarity scores between two residual blocks. | ||
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*utils.py* provides two helper functions, including *load_model* for loading an ImageNet model and *load_dataset* for creating a dataloader object. | ||
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## Requirements | ||
``` | ||
python >= 3.5 | ||
torch >= 1.0 | ||
torchvision | ||
numpy | ||
``` | ||
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## Example | ||
Generate our proposed kernel matrices for individual residual blocks | ||
given a pretrained ImageNet model and a dataset (cifar10 below) | ||
``` | ||
CUDA_VISIBLE_DEVICES=0 python -u cwt_kernel_mat.py \ | ||
--datapath data/ \ | ||
--modelname resnet18 \ | ||
--pretrained \ | ||
--seed 1111 \ | ||
--task cifar10 \ | ||
--split test \ | ||
--bsize 256 \ | ||
--num-buckets-sketching 128 \ | ||
--num-buckets-per-sample 1 | ||
``` | ||
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Given sketched kernel matrices calculated on one dataset (cifar10 below), | ||
compute a heatmap in which each entry is the similarity score between two residual blocks | ||
``` | ||
python -u compute_similarity.py \ | ||
--loadpath sketched_kernel_mat/ \ | ||
--filename1 resnet18_test_cifar10_1111.npy \ | ||
--simindex cka | ||
``` | ||
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Given sketched kernel matrices calculated on two datasets (cifar10 and cifar100 below), | ||
compute a heatmap in which each entry is the similarity score between two residual blocks | ||
``` | ||
python -u compute_similarity.py \ | ||
--loadpath sketched_kernel_mat/ \ | ||
--filename1 resnet18_test_cifar10_1111.npy \ | ||
--filename2 resnet18_test_cifar100_1111.npy \ | ||
--simindex cka | ||
``` | ||
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## Authors | ||
Shuai Tang |
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# Copyright 2020 Amazon.com, Inc. or its affiliates. All Rights Reserved. | ||
# | ||
# Licensed under the Apache License, Version 2.0 (the "License"). | ||
# You may not use this file except in compliance with the License. | ||
# A copy of the License is located at | ||
# | ||
# http://www.apache.org/licenses/LICENSE-2.0 | ||
# | ||
# or in the "license" file accompanying this file. This file is distributed | ||
# on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either | ||
# express or implied. See the License for the specific language governing | ||
# permissions and limitations under the License. | ||
# ============================================================================== | ||
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import os | ||
os.environ["OMP_NUM_THREADS"] = "1" | ||
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import numpy as np | ||
import argparse | ||
from sim_indices import SimIndex | ||
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if __name__ == "__main__": | ||
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# Get arguments from the command line | ||
parser = argparse.ArgumentParser(description='PyTorch CWT sketching kernel matrices') | ||
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parser.add_argument('--loadpath', type=str, | ||
help='absolute path to the folder that contains the file') | ||
parser.add_argument('--filename1', type=str, | ||
help='absolute path to the file that contains kernel matrices') | ||
parser.add_argument('--filename2', type=str, default=None, | ||
help='absolute path to the file that contains kernel matrices') | ||
parser.add_argument('--simindex', type=str, choices=['euclidean', 'cka', 'nbs'], default='cka', | ||
help='similarity index to use in computing the scores') | ||
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args = parser.parse_args() | ||
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# load the file that contains kernel matrices of individual residual blocks | ||
kernel_matrices_1 = np.load(args.loadpath + args.filename1, allow_pickle=True).item() | ||
kernel_matrices_2 = np.load(args.loadpath + args.filename2, allow_pickle=True).item() if args.filename2 else kernel_matrices_1 | ||
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n_resblocks_1 = len(kernel_matrices_1) | ||
n_resblocks_2 = len(kernel_matrices_2) | ||
sim_scores = np.zeros((n_resblocks_1, n_resblocks_2)) | ||
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simindices = SimIndex() | ||
func_ = getattr(simindices, args.simindex) | ||
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for layer_id1 in range(n_resblocks_1): | ||
for layer_id2 in range(n_resblocks_2): | ||
sim_scores[layer_id1, layer_id2] = func_(kernel_matrices_1[layer_id1], kernel_matrices_2[layer_id2]) | ||
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np.save(args.loadpath + 'heatmap.npy', sim_scores) |
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# Copyright 2020 Amazon.com, Inc. or its affiliates. All Rights Reserved. | ||
# | ||
# Licensed under the Apache License, Version 2.0 (the "License"). | ||
# You may not use this file except in compliance with the License. | ||
# A copy of the License is located at | ||
# | ||
# http://www.apache.org/licenses/LICENSE-2.0 | ||
# | ||
# or in the "license" file accompanying this file. This file is distributed | ||
# on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either | ||
# express or implied. See the License for the specific language governing | ||
# permissions and limitations under the License. | ||
# ============================================================================== | ||
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import os | ||
os.environ["OMP_NUM_THREADS"] = "1" | ||
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import torch | ||
import torch.nn as nn | ||
import torch.backends.cudnn as cudnn | ||
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import torchvision | ||
import torchvision.transforms as transforms | ||
import torchvision.models as models | ||
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import numpy as np | ||
from abc import ABC | ||
import os | ||
import argparse | ||
from sketched_kernels import SketchedKernels | ||
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from utils import * | ||
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if __name__ == "__main__": | ||
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# Get arguments from the command line | ||
parser = argparse.ArgumentParser(description='PyTorch CWT sketching kernel matrices') | ||
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parser.add_argument('--datapath', type=str, | ||
help='absolute path to the dataset') | ||
parser.add_argument('--modelname', type=str, | ||
help='model name') | ||
parser.add_argument('--pretrained', action='store_true', | ||
help='whether to load a pretrained ImageNet model') | ||
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parser.add_argument('--seed', default=0, type=int, | ||
help='random seed for sketching') | ||
parser.add_argument('--task', default='cifar10', type=str, choices=['cifar10', 'cifar100', 'svhn', 'stl10'], | ||
help='the name of the dataset, cifar10 or cifar100 or svhn or stl10') | ||
parser.add_argument('--split', default='train', type=str, | ||
help='split of the dataset, train or test') | ||
parser.add_argument('--bsize', default=512, type=int, | ||
help='batch size for computing the kernel') | ||
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parser.add_argument('--M', '--num-buckets-sketching', default=512, type=int, | ||
help='number of buckets in Sketching') | ||
parser.add_argument('--T', '--num-buckets-per-sample', default=1, type=int, | ||
help='number of buckets each data sample is sketched to') | ||
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parser.add_argument('--freq_print', default=10, type=int, | ||
help='frequency for printing the progress') | ||
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args = parser.parse_args() | ||
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# Set the backend and the random seed for running our code | ||
device = 'cuda' if torch.cuda.is_available() else 'cpu' | ||
torch.manual_seed(args.seed) | ||
if device == 'cuda': | ||
cudnn.benchmark = True | ||
torch.cuda.manual_seed(args.seed) | ||
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# The size of images for training and testing ImageNet models | ||
imgsize = 224 | ||
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# Generate a dataloader that iteratively reads data | ||
# Load a model, either pretrained or not | ||
loader = load_dataset(args.task, args.split, args.bsize, args.datapath, imgsize) | ||
net = load_model(device, args.modelname, pretrained=True) | ||
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# Set the model to be in the evaluation mode. VERY IMPORTANT! | ||
# This step to fix the running statistics in batchnorm layers, | ||
# and disable dropout layers | ||
net.eval() | ||
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csm = SketchedKernels(net, loader, imgsize, device, args.M, args.T, args.freq_print) | ||
csm.compute_sketched_kernels() | ||
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# Compute sketched kernel matrices for each layer | ||
for layer_id in range(len(csm.kernel_matrices)): | ||
nkme = (csm.kernel_matrices[layer_id].sum() ** 0.5) / csm.n_samples | ||
print("The norm of the kernel mean embedding of layer {:d} is {:.4f}".format(layer_id, nkme)) | ||
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del net, loader | ||
torch.cuda.empty_cache() | ||
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# Save the sketched kernel matrices | ||
savepath = 'sketched_kernel_mat/' | ||
if not os.path.isdir(savepath): | ||
os.mkdir(savepath) | ||
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save_filename = '{}_{}_{}_{}.npy'.format(args.modelname, args.split, args.task, args.seed) | ||
np.save(savepath + save_filename, csm.kernel_matrices) |
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python >= 3.5 | ||
torch >= 1.0 | ||
torchvision | ||
numpy |
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# Copyright 2020 Amazon.com, Inc. or its affiliates. All Rights Reserved. | ||
# | ||
# Licensed under the Apache License, Version 2.0 (the "License"). | ||
# You may not use this file except in compliance with the License. | ||
# A copy of the License is located at | ||
# | ||
# http://www.apache.org/licenses/LICENSE-2.0 | ||
# | ||
# or in the "license" file accompanying this file. This file is distributed | ||
# on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either | ||
# express or implied. See the License for the specific language governing | ||
# permissions and limitations under the License. | ||
# ============================================================================== | ||
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import numpy as np | ||
from abc import ABC | ||
import os | ||
import argparse | ||
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class SimIndex(ABC): | ||
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r""" | ||
The class that supports three similarity indices. | ||
Notes: | ||
Currently supports Euclidean distance, Centred Kernel Alignment | ||
and Normalised Bures Similarity between two kernel matrices. | ||
""" | ||
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def __init__(self): | ||
... | ||
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def centering(self, kmat): | ||
r""" | ||
Centering the kernel matrix | ||
""" | ||
return kmat - kmat.mean(axis=0, keepdims=True) - kmat.mean(axis=1, keepdims=True) + kmat.mean() | ||
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def euclidean(self, kmat_1, kmat_2): | ||
r""" | ||
Compute the Euclidean distance between two kernel matrices | ||
""" | ||
return np.linalg.norm(kmat_1 - kmat_2) | ||
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def cka(self, kmat_1, kmat_2): | ||
r""" | ||
Compute the Centred Kernel Alignment between two kernel matrices. | ||
\rho(K_1, K_2) = \Tr (K_1 @ K_2) / ||K_1||_F / ||K_2||_F | ||
""" | ||
kmat_1 = self.centering(kmat_1) | ||
kmat_2 = self.centering(kmat_2) | ||
return np.trace(kmat_1 @ kmat_2) / np.linalg.norm(kmat_1) / np.linalg.norm(kmat_2) | ||
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def nbs(self, kmat_1, kmat_2): | ||
r""" | ||
Compute the Normalised Bures Similarity between two kernel matrices. | ||
\rho(K_1, K_2) = \Tr( (K_1^{1/2} @ K_2 @ K_1^{1/2})^{1/2} ) / \Tr(K_1) / \Tr(K_2) | ||
""" | ||
kmat_1 = self.centering(kmat_1) | ||
kmat_2 = self.centering(kmat_2) | ||
return sum(np.real(np.linalg.eigvals(kmat_1 @ kmat_2)).clip(0.) ** 0.5) / ((np.trace(kmat_1) * np.trace(kmat_2)) ** 0.5) |
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