]> git.armaanb.net Git - python_dp.git/blob - bayesian_attacker.ipynb
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[python_dp.git] / bayesian_attacker.ipynb
1 {
2  "cells": [
3   {
4    "cell_type": "markdown",
5    "id": "58967cbf",
6    "metadata": {},
7    "source": [
8     "# Plot epsilon's effect on privacy (attacker's perspective)\n",
9     "By [Armaan Bhojwani](https://armaanb.net) under [Praneeth Vepakomma](https://praneeth.mit.edu/)\n",
10     "\n",
11     "Inspired by https://desfontain.es/privacy/differential-privacy-in-more-detail.html, see link for further explanation.\n",
12     "\n",
13     "### Dependencies\n",
14     "- seaborn\n",
15     "\n",
16     "### Status\n",
17     "- Complete"
18    ]
19   },
20   {
21    "cell_type": "markdown",
22    "id": "cf22d83b",
23    "metadata": {},
24    "source": [
25     "### Parameters"
26    ]
27   },
28   {
29    "cell_type": "code",
30    "execution_count": 1,
31    "id": "4dfb69fe",
32    "metadata": {},
33    "outputs": [],
34    "source": [
35     "max_epsilon = 4     # Maximum epsilon value to plot\n",
36     "epsilon_step = 0.5  # Step size between epsilons\n",
37     "\n",
38     "# See http://seaborn.pydata.org/tutorial/color_palettes.html\n",
39     "color_palette = \"Blues\""
40    ]
41   },
42   {
43    "cell_type": "markdown",
44    "id": "7722414b",
45    "metadata": {},
46    "source": [
47     "### Code"
48    ]
49   },
50   {
51    "cell_type": "code",
52    "execution_count": 2,
53    "id": "2963cf7f",
54    "metadata": {},
55    "outputs": [
56     {
57      "data": {
58 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",
59       "text/plain": [
60        "<Figure size 640x480 with 1 Axes>"
61       ]
62      },
63      "metadata": {},
64      "output_type": "display_data"
65     }
66    ],
67    "source": [
68     "import matplotlib.pyplot as plt\n",
69     "import matplotlib.patches as mpatches\n",
70     "import seaborn as sns\n",
71     "import numpy as np\n",
72     "import math\n",
73     "\n",
74     "# Parameters\n",
75     "x_resolution = 500\n",
76     "e = math.e\n",
77     "\n",
78     "# Color palette\n",
79     "num_values = int(max_epsilon / epsilon_step)\n",
80     "colors = sns.color_palette(color_palette, num_values)\n",
81     "\n",
82     "x = np.linspace(0, 1, x_resolution)\n",
83     "\n",
84     "# Setup plot\n",
85     "fig, ax = plt.subplots()\n",
86     "handles, labels = ax.get_legend_handles_labels()\n",
87     "\n",
88     "for i in range(num_values, 0, -1):\n",
89     "    epsilon = i * epsilon_step\n",
90     "    \n",
91     "    # Lower bound\n",
92     "    y1 = x / ((e**epsilon) + (1 - (e**epsilon)) * x)\n",
93     "\n",
94     "    # Upper bound\n",
95     "    y2 = (e**epsilon * x) / (1 + (e**epsilon - 1) * x)\n",
96     "\n",
97     "    # Plot bounds\n",
98     "    color = colors[i - 1]\n",
99     "    ax.fill_between(x, y1, y2, linewidth=0, color=color)\n",
100     "\n",
101     "    # Add legend\n",
102     "    handles.append(mpatches.Patch(color=color, label=epsilon))\n",
103     "\n",
104     "# Plot x = y line\n",
105     "ax.plot(x, x, linewidth=2, color='w', linestyle=\"dotted\")\n",
106     "\n",
107     "# Plot legend\n",
108     "box = ax.get_position()\n",
109     "ax.set_position([box.x0, box.y0, box.width * 0.8, box.height])\n",
110     "ax.legend(handles=handles,\n",
111     "          loc='center left',\n",
112     "          bbox_to_anchor=(1, 0.5),\n",
113     "          title=r'$\\epsilon$')\n",
114     "\n",
115     "# Set axes\n",
116     "ax.set_xlabel(\"Initial suspicion\")\n",
117     "ax.set_ylabel(\"Updated suspicion\")\n",
118     "plt.title(\"Privacy levels of various epsilons\")\n",
119     "\n",
120     "plt.show()"
121    ]
122   }
123  ],
124  "metadata": {
125   "kernelspec": {
126    "display_name": "Python 3 (ipykernel)",
127    "language": "python",
128    "name": "python3"
129   },
130   "language_info": {
131    "codemirror_mode": {
132     "name": "ipython",
133     "version": 3
134    },
135    "file_extension": ".py",
136    "mimetype": "text/x-python",
137    "name": "python",
138    "nbconvert_exporter": "python",
139    "pygments_lexer": "ipython3",
140    "version": "3.9.7"
141   }
142  },
143  "nbformat": 4,
144  "nbformat_minor": 5
145 }