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Deep Leakage from Gradients.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "Deep Leakage from Gradients.ipynb",
"provenance": [],
"collapsed_sections": [],
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"accelerator": "GPU"
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/Lyken17/91b81526a8245a028d4f85ccc9191884/deep-leakage-from-gradients.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"metadata": {
"id": "NWa7Xo6PkIl3",
"colab_type": "code",
"outputId": "909e86ea-f7a6-4e33-eee9-456f4365e397",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"source": [
"%matplotlib inline\n",
"\n",
"import numpy as np\n",
"from pprint import pprint\n",
"\n",
"from PIL import Image\n",
"import matplotlib.pyplot as plt\n",
"\n",
"import torch\n",
"import torch.nn as nn\n",
"import torch.nn.functional as F\n",
"from torch.autograd import grad\n",
"import torchvision\n",
"from torchvision import models, datasets, transforms\n",
"print(torch.__version__, torchvision.__version__)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"1.3.1 0.4.2\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "VjKWqs2akepH",
"colab_type": "code",
"outputId": "ff9361ef-c020-4e9f-e900-3e05d8866b34",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 84
}
},
"source": [
"dst = datasets.CIFAR100(\"~/.torch\", download=True)\n",
"tp = transforms.ToTensor()\n",
"tt = transforms.ToPILImage()\n",
"\n",
"device = \"cpu\"\n",
"if torch.cuda.is_available():\n",
" device = \"cuda\"\n",
"print(\"Running on %s\" % device)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"\r0it [00:00, ?it/s]"
],
"name": "stderr"
},
{
"output_type": "stream",
"text": [
"Downloading https://www.cs.toronto.edu/~kriz/cifar-100-python.tar.gz to /root/.torch/cifar-100-python.tar.gz\n"
],
"name": "stdout"
},
{
"output_type": "stream",
"text": [
"169009152it [00:06, 27875541.08it/s] \n"
],
"name": "stderr"
},
{
"output_type": "stream",
"text": [
"Extracting /root/.torch/cifar-100-python.tar.gz to /root/.torch\n",
"Running on cuda\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "hWUASXRYkk0p",
"colab_type": "code",
"outputId": "a49a1102-b2ea-44e4-a1ac-467f4c297863",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 283
}
},
"source": [
"img_index = 25\n",
"gt_data = tp(dst[img_index][0]).to(device)\n",
"gt_data = gt_data.view(1, *gt_data.size())\n",
"gt_label = torch.Tensor([dst[img_index][1]]).long().to(device)\n",
"gt_label = gt_label.view(1, )\n",
"\n",
"plt.imshow(tt(gt_data[0].cpu()))"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f6d6d723cf8>"
]
},
"metadata": {
"tags": []
},
"execution_count": 3
},
{
"output_type": "display_data",
"data": {
"image/png": 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ydiEyQc4uRCb0PMC8SQSnQiAlMNGiEKkPQURZIRC9GkF0FbNtCeqQjY4MU1v1FJeT6nUe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\noIrtGW99IKQAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "Ry8uxJG4lU0b",
"colab_type": "code",
"colab": {}
},
"source": [
"def weights_init(m):\n",
" if hasattr(m, \"weight\"):\n",
" m.weight.data.uniform_(-0.5, 0.5)\n",
" if hasattr(m, \"bias\"):\n",
" m.bias.data.uniform_(-0.5, 0.5)\n",
" \n",
"class LeNet(nn.Module):\n",
" def __init__(self):\n",
" super(LeNet, self).__init__()\n",
" act = nn.Sigmoid\n",
" self.body = nn.Sequential(\n",
" nn.Conv2d(3, 12, kernel_size=5, padding=5//2, stride=2),\n",
" act(),\n",
" nn.Conv2d(12, 12, kernel_size=5, padding=5//2, stride=2),\n",
" act(),\n",
" nn.Conv2d(12, 12, kernel_size=5, padding=5//2, stride=1),\n",
" act(),\n",
" )\n",
" self.fc = nn.Sequential(\n",
" nn.Linear(768, 1000)\n",
" )\n",
" \n",
" def forward(self, x):\n",
" out = self.body(x)\n",
" out = out.view(out.size(0), -1)\n",
" # print(out.size())\n",
" out = self.fc(out)\n",
" return out\n",
" \n",
"net = LeNet().to(device)\n",
" \n",
"net.apply(weights_init)\n",
"criterion = nn.CrossEntropyLoss()\n",
"# net.apply(torch.nn.init.kaiming_normal)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "8mSgR4GClV-8",
"colab_type": "code",
"outputId": "cddf785b-84d7-471a-ec94-7474e69cf633",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 283
}
},
"source": [
"# compute original gradient \n",
"out = net(gt_data)\n",
"y = criterion(out, gt_label)\n",
"dy_dx = torch.autograd.grad(y, net.parameters())\n",
"\n",
"original_dy_dx = list((_.detach().clone() for _ in dy_dx))\n",
"original_dy_dx_fp16 = list((_.detach().clone().half().float() for _ in dy_dx))\n",
"\n",
"# generate dummy data and label\n",
"dummy_data = torch.randn(gt_data.size()).to(device).requires_grad_(True)\n",
"plt.imshow(tt(dummy_data[0].cpu()))"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f6d6da62b38>"
]
},
"metadata": {
"tags": []
},
"execution_count": 5
},
{
"output_type": "display_data",
"data": {
"image/png": 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U/KCN/ngFeIXawsMpqfbk/duoNuoQ19Z9u1K1fxb/J/Vp0IjP2dudjv/Nxi/l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\nwW4YHuH/APA95jr/pkQKAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "NZNuuwTFlYr0",
"colab_type": "code",
"outputId": "eb0993d4-6ae5-4a50-badf-ddfb0bfaeabd",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 521
}
},
"source": [
"optimizer = torch.optim.LBFGS([dummy_data, ] )\n",
"\n",
"condition = True\n",
"prev_loss = 0\n",
"counter = 0 \n",
"\n",
"history = []\n",
"for iters in range(300):\n",
" def closure():\n",
" optimizer.zero_grad()\n",
"\n",
" pred = net(dummy_data) \n",
" dummy_loss = criterion(pred, gt_label) # TODO: fix the gt_label to dummy_label in both code and slides.\n",
" dummy_dy_dx = torch.autograd.grad(dummy_loss, net.parameters(), create_graph=True)\n",
" \n",
" grad_diff = 0\n",
" for gx, gy in zip(dummy_dy_dx, original_dy_dx): # TODO: fix the variablas here\n",
" grad_diff += ((gx - gy) ** 2).sum()\n",
" grad_diff.backward()\n",
" \n",
" return grad_diff\n",
" \n",
" optimizer.step(closure)\n",
" if iters % 10 == 0: \n",
" current_loss = closure()\n",
" print(iters, \"%.4f\" % current_loss.item())\n",
" history.append(tt(dummy_data[0].cpu()))\n"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"0 20.3952\n",
"10 0.5019\n",
"20 0.1028\n",
"30 0.0296\n",
"40 0.0086\n",
"50 0.0030\n",
"60 0.0011\n",
"70 0.0005\n",
"80 0.0002\n",
"90 0.0001\n",
"100 0.0000\n",
"110 0.0000\n",
"120 0.0000\n",
"130 0.0000\n",
"140 0.0000\n",
"150 0.0000\n",
"160 0.0000\n",
"170 0.0000\n",
"180 0.0000\n",
"190 0.0000\n",
"200 0.0000\n",
"210 0.0000\n",
"220 0.0000\n",
"230 0.0000\n",
"240 0.0000\n",
"250 0.0000\n",
"260 0.0000\n",
"270 0.0000\n",
"280 0.0000\n",
"290 0.0000\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "aokP-jhal96-",
"colab_type": "code",
"outputId": "d7127aa8-75dd-40a3-b8fe-33767d001238",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 411
}
},
"source": [
"plt.figure(figsize=(12, 8))\n",
"for i in range(30):\n",
" plt.subplot(3, 10, i + 1)\n",
" plt.imshow(history[i])\n",
" plt.title(\"iter=%d\" % (i * 10))\n",
" plt.axis('off')"
],
"execution_count": 0,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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a2acLzI442IeDrfvpagCAxj04wTZfiEVYIA1/jqATGhPP+kT6MwXkdMM4KLc4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\n70lt4Nod90Ei41wgNle69NfgKNI5vXcE0jN7LFp9mMvv+imfz22rgXh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VZtrsJh8/iGZl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\nAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 864x576 with 30 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "VtzjXKkbMFGG",
"colab_type": "code",
"colab": {}
},
"source": [
""
],
"execution_count": 0,
"outputs": []
}
]
}
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