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@ekzhang
Last active August 9, 2018 20:24
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Hungarian Algorithm"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"def hungarian_algorithm(cost):\n",
" \"\"\"Solves the assignment problem in O(N^3) time.\n",
"\n",
" > hungarian_algorithm([[5, 8, 0],\n",
" [0, 4, 7],\n",
" [9, 0, 6]]) => [2, 0, 1]\n",
" \"\"\"\n",
" N = len(cost)\n",
" potential = [0] * (2 * N)\n",
" match = [None] * (2 * N)\n",
" for step in range(N):\n",
" dist = [float('inf')] * (2 * N)\n",
" vis = [False] * (2 * N)\n",
" pre = [None] * (2 * N)\n",
" last = None\n",
" for i in range(N):\n",
" if match[i] is None:\n",
" dist[i] = 0\n",
"\n",
" # Dijkstra's algorithm\n",
" while True:\n",
" n = None\n",
" for i in range(2 * N):\n",
" if not vis[i] and (n is None or dist[i] < dist[n]):\n",
" n = i\n",
" if n is None or dist[n] == float('inf'):\n",
" break\n",
"\n",
" vis[n] = True\n",
" if n < N:\n",
" for v in range(N):\n",
" d = max((dist[n], dist[n] + cost[n][v]\n",
" + potential[n] - potential[N + v]))\n",
" if d < dist[N + v]:\n",
" dist[N + v] = d\n",
" pre[N + v] = n\n",
" else:\n",
" if match[n] is not None:\n",
" d = max((dist[n], dist[n] - cost[match[n]][n - N]\n",
" + potential[n] - potential[match[n]]))\n",
" if d < dist[match[n]]:\n",
" dist[match[n]] = d\n",
" pre[match[n]] = n\n",
" elif last is None:\n",
" last = n\n",
"\n",
" # Propagate the augmenting path\n",
" while last is not None:\n",
" cur = pre[last]\n",
" match[cur], match[last] = last, cur\n",
" last = pre[cur]\n",
"\n",
" # Update potentials\n",
" for i in range(2 * N):\n",
" potential[i] += dist[i]\n",
"\n",
" return [matched - N for matched in match[:N]]"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"def dist(p, q):\n",
" \"\"\"Computes the Euclidean distance between two points in k-d space.\"\"\"\n",
" return sum((x1 - x2) ** 2 for x1, x2 in zip(p, q)) ** 0.5\n",
"\n",
"def match_points(red, blue):\n",
" \"\"\"Finds the shortest total-length pairing between sets of points.\"\"\"\n",
" cost = [[dist(p, q) for q in blue] for p in red]\n",
" match = hungarian_algorithm(cost)\n",
" total_dist = 0\n",
" pairs = []\n",
" for i in range(len(red)):\n",
" total_dist += dist(red[i], blue[match[i]])\n",
" pairs.append((red[i], blue[match[i]]))\n",
" return total_dist, pairs"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Demo"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Total distance: 4.950417164378445\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10c991ac8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"red = np.random.random((30, 2))\n",
"blue = np.random.random((30, 2))\n",
"total_dist, pairs = match_points(red, blue)\n",
"\n",
"print(\"Total distance:\", total_dist)\n",
"\n",
"plt.figure(figsize=(10, 10))\n",
"plt.scatter(red[:, 0], red[:, 1], color='red')\n",
"plt.scatter(blue[:, 0], blue[:, 1], color='blue')\n",
"for p, q in pairs:\n",
" plt.plot(*zip(p, q), color='gray')\n",
"plt.axis('equal')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Total distance: 8.135516132093043\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10d8af5f8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from mpl_toolkits.mplot3d import Axes3D\n",
"\n",
"red = np.random.random((30, 3))\n",
"blue = np.random.random((30, 3))\n",
"total_dist, pairs = match_points(red, blue)\n",
"\n",
"print(\"Total distance:\", total_dist)\n",
"\n",
"ax = plt.figure(figsize=(10, 10)).add_subplot(111, projection='3d')\n",
"ax.scatter(red[:, 0], red[:, 1], red[:, 2], color='red')\n",
"ax.scatter(blue[:, 0], blue[:, 1], blue[:, 2], color='blue')\n",
"for p, q in pairs:\n",
" ax.plot(*zip(p, q), color='gray')\n",
"plt.axis('equal')\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.5"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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