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@kylemcdonald
Last active December 5, 2023 03:36
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Generating K-Means clusters with equal sized clusters by framing it as a linear assignment problem.
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Generating k-means clusters of equal sizes can be done with heuristics based on [swapping points between clusters](https://elki-project.github.io/tutorial/same-size_k_means), but it can also be done by framing the assignment of points to centroids as a linear assignment problem.\n",
"\n",
"This is an implementation of [Balanced K-Means for Clustering](https://link.springer.com/chapter/10.1007/978-3-662-44415-3_4) by Mikko I. Malinen and Pasi Fränti. They provide a reference implementation in Matlab [here](http://cs.uef.fi/sipu/soft/Balanced.zip). In the reference implementation they run the entire process multiple times with different initializations of the centroids, and they use the run that has the best mean squared error between points and their assigned centroids.\n",
"\n",
"First we import the libraries we will use."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import lapjv # https://github.com/gatagat/lapjv"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`k` represents our number of clusters."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"k = 15"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In the reference code, the authors load example points from `s1_subset_500.txt`."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# X = np.loadtxt('s1_subset_500.txt')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"But here we will generate our own data."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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meV2Sb0lyPMlvJLmxlHJXDecEAADUqK7tC+sK1nVpYkBnesYOxKWUzye5fojXfyjJh8b9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\nGAAAgF76/wG5poDC6eFArQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x108cfc210>"
]
},
"metadata": {
"image/png": {
"height": 467,
"width": 482
}
},
"output_type": "display_data"
}
],
"source": [
"X = []\n",
"for i in range(k):\n",
" centroid = np.random.random(size=2) * 40\n",
" n = np.random.randint(28, 32)\n",
" for i in range(n):\n",
" X.append(np.random.normal(centroid, size=2))\n",
"X = np.asarray(X)\n",
"\n",
"plt.figure(figsize=(8,8))\n",
"plt.scatter(X[:,0], X[:,1], s=4)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's see what kind of data we're working with."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"15 clusters\n",
"437 points\n",
"2 dimensions\n"
]
}
],
"source": [
"n = X.shape[0]\n",
"d = X.shape[1]\n",
"\n",
"print k, 'clusters'\n",
"print n, 'points'\n",
"print d, 'dimensions'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Before we run k-means, we need to initialize the centroids. To do this, we need to pick some unique points from the data set. In real data sets it's possible to have multiple points with the same position/value, so we handle that case carefully with this function that picks unique random points."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def random_unique_points(items, n):\n",
" s = set()\n",
" count = len(items)\n",
" while len(s) < n:\n",
" i = np.random.randint(count)\n",
" s.add(tuple(items[i]))\n",
" return list(s)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we pick the centroids using the above function."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[ 12.96315122 9.45488019]\n",
" [ 25.74989052 17.26273286]\n",
" [ 17.011827 13.30514998]\n",
" [ 26.78002116 17.74783928]\n",
" [ 37.58344762 18.71970665]\n",
" [ 38.06949221 32.47883338]\n",
" [ 27.88216332 17.10570184]\n",
" [ 27.81145556 16.1409308 ]\n",
" [ 26.09581291 13.28384285]\n",
" [ 12.2654622 18.96272868]\n",
" [ 15.04100016 6.25615097]\n",
" [ 12.87153812 10.25295941]\n",
" [ 24.25361339 13.01940522]\n",
" [ 14.07258056 18.51013685]\n",
" [ 16.25853835 4.80147102]]\n"
]
}
],
"source": [
"C = np.asarray(random_unique_points(X, k))\n",
"print C"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We want to keep track of our centroids changing over time, and terminate k-means when the centroids stop moving, so we create two variables to keep track of this."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"C_prev = np.copy(C)\n",
"C_history = [np.copy(C)]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now comes the bulk of the code where the iterative portion of k-means is performed. Usually k-means assigns points to centroids based on which point is nearest. This algorithm assigns points in a way that minimizes the sum squared distance of all the points to their centroids, using the linear assignment problem solving algorithm `lapjv`."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Stopped early: 4 iterations.\n"
]
}
],
"source": [
"max_iterations = 100\n",
"for k_iter in range(max_iterations): \n",
" # calculate squared distance to all centroids, this could be optimized\n",
" cost = np.zeros((n, n))\n",
" for i in range(k): # rows are centroids\n",
" for j in range(n): # columns are vertices\n",
" cur = X[j,:] - C[i,:]\n",
" cost[i,j] = np.sum(np.square(cur))\n",
" \n",
" # copy cost calculations for remaining duplicate centroid \n",
" for i in range(k, n):\n",
" cost[i,:] = cost[np.mod(i,k),:]\n",
" \n",
" # solve assignment problem\n",
" _,_,colsol = lapjv.lapjv(cost)\n",
" \n",
" # find current partitioning (labeling) from assignment\n",
" partition = np.mod(colsol, k)\n",
" \n",
" # kmeans update step\n",
" for i in range(k):\n",
" C[i,:] = X[np.where(partition == i)].mean(axis=0)\n",
" \n",
" C_history.append(np.copy(C))\n",
" \n",
" if np.array_equal(C, C_prev):\n",
" print 'Stopped early:', k_iter, 'iterations.'\n",
" break\n",
" else:\n",
" C_prev = np.copy(C)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now the centroids are stored in `C` and the assignments (or labels, or partitions) for the points are stored in `partition`. We plot the path of the centroids, the points colored by their labels, and the centroids below."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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MST0kjZA0SFKmpCrt3Lj8BUmPWpa1fY/5L0g6W9JQSadJ8kgqkvSapMcty5od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4Pb9gXyzc9QY2fL4ReoMON06/Dq4eLWMPg9hf9+HF8QtQVlwGV09XvPLD0+g5pJvD5j+XnIFT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\n66KFqAPmfbGRYhTgEG7TAwAAAAC0SmJiomoDASUkJ0u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"text/plain": [
"<matplotlib.figure.Figure at 0x10b5a4790>"
]
},
"metadata": {
"image/png": {
"height": 576,
"width": 593
}
},
"output_type": "display_data"
}
],
"source": [
"def consecutive_pairs(x):\n",
" return zip(x[:-1], x[1:])\n",
"\n",
"plt.figure(figsize=(10,10))\n",
"plt.scatter(X[:,0], X[:,1], c=partition, s=2)\n",
"for ca, cb in consecutive_pairs(C_history):\n",
" for a, b in zip(ca, cb):\n",
" plt.arrow(a[0], a[1], b[0]-a[0], b[1]-a[1])\n",
"plt.scatter(C[:,0], C[:,1], c=range(k), s=100)\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.13"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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