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@mlelarge
Created April 25, 2023 13:56
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kmeans_broadcast.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"provenance": [],
"authorship_tag": "ABX9TyPXqq0JMhcNDe7iez77iNJk",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"language_info": {
"name": "python"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/mlelarge/8972b3cda4e1aad67fdecab877065adf/kmeans_broadcast.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"source": [
"# Broadcasting in Python: K-means algorithm\n",
"\n",
"written by [@marc_lelarge](https://twitter.com/marc_lelarge)"
],
"metadata": {
"id": "qfW90cTFrjbL"
}
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"id": "YL-bhwJkpWLL"
},
"outputs": [],
"source": [
"import numpy as np\n",
"from numpy.testing import assert_allclose\n",
"import matplotlib.pyplot as plt\n",
"import time"
]
},
{
"cell_type": "code",
"source": [
"def kmeans(data, k, num_iter=50):\n",
" n, d = data.shape\n",
" centroids = data[np.random.choice(n, k, replace=False)] # (k, d)\n",
" labels = np.empty(n) # (n,)\n",
"\n",
" for _ in range(num_iter):\n",
" # PARTITION STEP\n",
" for i, point in enumerate(data):\n",
" # Compute euclidean distance to each centroid\n",
" distances = [np.linalg.norm(point - c) for c in centroids]\n",
" # Find the closest one\n",
" labels[i] = np.argmin(distances)\n",
"\n",
" # CENTER STEP\n",
" # For each group, extract the points\n",
" # and compute the mean vector within that group.\n",
" centroids = np.stack([data[labels==i].mean(axis=0)\n",
" for i in range(k)]) # (k, d)\n",
"\n",
" return centroids, labels"
],
"metadata": {
"id": "onpPnOTGpYAG"
},
"execution_count": 2,
"outputs": []
},
{
"cell_type": "code",
"source": [
"class Kmeans:\n",
" def __init__(self, k, num_iter=50):\n",
" self.k = k\n",
" self.num_iter = num_iter\n",
" \n",
" def partition_step(self):\n",
" diff = self.data[:, None] - self.centroids[None] # (n, k, d)\n",
" distances = np.einsum('nkd,nkd->nk', diff, diff) # (n, k)\n",
" self.labels = np.argmin(distances, axis=1) # (n,)\n",
"\n",
" def centers_step(self):\n",
" self.centroids = np.stack([self.data[self.labels==i].mean(axis=0) \\\n",
" for i in range(self.k)])\n",
" \n",
" def fit(self, data):\n",
" n, d = data.shape\n",
" self.centroids = data[np.random.choice(n, self.k, replace=False)] # (k, d)\n",
" self.labels = np.empty(n) # (n,)\n",
" self.data = data\n",
" for _ in range(self.num_iter):\n",
" self.partition_step()\n",
" self.centers_step()\n",
" return self.centroids, self.labels"
],
"metadata": {
"id": "Z93a5z6FpbTl"
},
"execution_count": 3,
"outputs": []
},
{
"cell_type": "code",
"source": [
"# source: https://scikit-learn.org/stable/auto_examples/cluster/plot_kmeans_assumptions.html#sphx-glr-auto-examples-cluster-plot-kmeans-assumptions-py\n",
"from sklearn.cluster import KMeans\n",
"from sklearn.datasets import make_blobs\n",
"\n",
"n_samples = 1500\n",
"random_state = 170\n",
"X, y = make_blobs(n_samples=n_samples, random_state=random_state)\n",
"\n",
"y_pred = KMeans(n_clusters=3, n_init='auto', random_state=random_state).fit_predict(X)\n",
"plt.scatter(X[:, 0], X[:, 1], c=y_pred)\n",
"plt.title(\"SKlearn\")\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 452
},
"id": "fR7g08impdjg",
"outputId": "579d2bb6-0924-4618-81e4-21cfa2cfc8a5"
},
"execution_count": 4,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"_, y_pred1 = kmeans(X,3)\n",
"plt.scatter(X[:, 0], X[:, 1], c=y_pred1)\n",
"plt.title(\"naive\")\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 452
},
"id": "lsGio31Apf4E",
"outputId": "86cca0ae-080f-4d4d-f280-bec195372339"
},
"execution_count": 5,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"kmeans3 = Kmeans(3)\n",
"_, y_pred2 = kmeans3.fit(X)\n",
"plt.scatter(X[:, 0], X[:, 1], c=y_pred2)\n",
"plt.title(\"fast\")\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 452
},
"id": "U5_gfu9spq9v",
"outputId": "65488092-2eb1-4fab-cc92-191a21515092"
},
"execution_count": 6,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"n, k, d = 5000, 10, 26\n",
"data = np.random.uniform(size=(n, d)) # dummy data\n",
"%timeit kmeans(data, k) "
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "5h2xIgdppxU7",
"outputId": "dc6a516e-90a1-459f-c7b9-f1e4c810ffae"
},
"execution_count": 7,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"19 s ± 959 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"kmeans_broadcast = Kmeans(k)\n",
"%timeit kmeans_broadcast.fit(data)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "LERglLGZp7XC",
"outputId": "27ae0ac4-feba-4899-c4c1-78d7d87d4cad"
},
"execution_count": 8,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"316 ms ± 12.2 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"%timeit KMeans(n_clusters=k, n_init='auto', random_state=random_state, max_iter=50).fit_predict(data)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "87koFJTzp1OI",
"outputId": "ce28a657-4b3e-4f16-f682-caa90a98cbdd"
},
"execution_count": 9,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"160 ms ± 77.4 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n"
]
}
]
}
]
}
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