curriculum/ml_intro/clustering-kmeans-lab/KMeansClustering.ipynb

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   "source": [
    "# K-Means Clustering Algorithm"
   ]
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   "metadata": {},
   "source": [
    "__Purpose:__\n",
    "The purpose of this lecture is to learn how to use an unsupervised learning algorithm, **K-means**. We will learn how to run this algorithm using sklearn.   \n",
    "\n",
    "__At the end of this lecture you will be able to:__\n",
    "> 1. Run a K-means algorithm.\n",
    "> 2. Understand what parameters are customizable for the algorithm.\n",
    "> 3. Know how to use the inertia curve to determine the optimal number of clusters."
   ]
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   "cell_type": "markdown",
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    "### K-Means Overview\n",
    "\n",
    "**K-means** is one of the most basic clustering algorithms.  It relies on finding cluster centers to group data points based on minimizing the sum of squared errors between each datapoint and its cluster center.  "
   ]
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  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "from sklearn.preprocessing import scale\n",
    "from sklearn.cluster import KMeans\n",
    "from sklearn.datasets import make_blobs\n",
    "from sklearn.datasets import fetch_mldata\n",
    "from sklearn.utils import shuffle\n",
    "\n",
    "%config InlineBackend.figure_format = 'svg'\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.rcParams['figure.figsize'] = [6,6]"
   ]
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "K-means clustering is one of the most simple clustering algorithms.  One of the limitations is that it depends on the starting point of the clusters, and the number of clusters need to be defined beforehand."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Cluster starting points\n",
    "Let's start by creating a simple dataset."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# helper function that allows us to display data in 2 dimensions an highlights the clusters\n",
    "def display_cluster(X,km=[],num_clusters=0):\n",
    "    color = 'brgcmyk'\n",
    "    alpha = 0.5\n",
    "    s = 20\n",
    "    if num_clusters == 0:\n",
    "        plt.scatter(X[:,0],X[:,1],c = color[0],alpha = alpha,s = s)\n",
    "    else:\n",
    "        for i in range(num_clusters):\n",
    "            plt.scatter(X[km.labels_==i,0],X[km.labels_==i,1],c = color[i],alpha = alpha,s=s)\n",
    "            plt.scatter(km.cluster_centers_[i][0],km.cluster_centers_[i][1],c = color[i], marker = 'x', s = 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
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    "angle = np.linspace(0,2*np.pi,20, endpoint = False)\n",
    "X = np.append([np.cos(angle)],[np.sin(angle)],0).transpose()\n",
    "display_cluster(X)"
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   "source": [
    "Let's now group this data into two clusters.  We will use two different random states to initialize the algorithm. "
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   "metadata": {},
   "source": [
    "Clustering with a random state of 10:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
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    "num_clusters = 2\n",
    "km = KMeans(n_clusters=num_clusters,random_state=10,n_init=1) # n_init, number of times the K-mean algorithm will run\n",
    "km.fit(X)\n",
    "display_cluster(X,km,num_clusters)"
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  {
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   "source": [
    "Clustering with a random state of 20:"
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  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
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   ],
   "source": [
    "km = KMeans(n_clusters=num_clusters,random_state=20,n_init=1)\n",
    "km.fit(X)\n",
    "display_cluster(X,km,num_clusters)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Why are the clusters different when we run  the K-means twice?\n",
    "\n",
    "It's because the starting points of the cluster centers have an impact on where the final clusters lie.  The starting point of the clusters is controlled by the random state."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Determining optimium number of clusters\n",
    "\n",
    "Let's create a new dataset that visually consists on a few clusters and try to group them."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
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   "source": [
    "n_samples = 1000\n",
    "n_bins = 4  \n",
    "centers = [(-3, -3), (0, 0), (3, 3), (6, 6)]\n",
    "X, y = make_blobs(n_samples=n_samples, n_features=2, cluster_std=1.0,\n",
    "                  centers=centers, shuffle=False, random_state=42)\n",
    "display_cluster(X)"
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  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "How many clusters do you observe?\n",
    "\n",
    "Let's run K-means with seven clusters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
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   "source": [
    "num_clusters = 7\n",
    "km = KMeans(n_clusters=num_clusters)\n",
    "km.fit(X)\n",
    "display_cluster(X,km,num_clusters)"
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  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now let's re-run the algorithm with four clusters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
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      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
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     },
     "metadata": {
      "needs_background": "light"
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     "output_type": "display_data"
    }
   ],
   "source": [
    "num_clusters = 4\n",
    "km = KMeans(n_clusters=num_clusters)\n",
    "km.fit(X)\n",
    "display_cluster(X,km,num_clusters)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Should we use four or seven clusters?  \n",
    "\n",
    "In this case it may be visually obvious that four clusters is better than seven.  This is because we can easily view the data in two dimensional space.  However, real world data usually has more than two dimensions.  A dataset with a higher dimensional space is hard to visualize.  A way of solving this is to plot the inertia (sum of squared error between each point and its cluster center) as a function of the number of clusters. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1880.174402277563"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "km.inertia_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Problem 1:\n",
    "\n",
    "Write code that calculates the inertia for 1 to 10 clusters, and plot the inertia as a function of the number of clusters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "### Write code here\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Where does the elbow of the curve occur?\n",
    "\n",
    "What do you think the inertia would be if you have the same number of clusters and data points?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Clustering colors from an image"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's start by loading an image."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
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\" y=\"-9.837656\"/>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"pb624e83ce1\">\n",
       "   <rect height=\"251.1\" width=\"334.8\" x=\"33.2875\" y=\"10.737656\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "img = plt.imread('peppers.jpg')\n",
    "plt.imshow(img)\n",
    "plt.axis('off');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(480, 640, 3)"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "img.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The image above has 480 pixels in height and 640 pixels in width.  Each pixel has 3 values that represent how much red, green and blue it has. Below you can play with different combinations of RGB to create different colors. In total, you can create $256^3 = 16,777,216$ unique colors."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (http://matplotlib.org/) -->\n",
       "<svg height=\"360.738125pt\" version=\"1.1\" viewBox=\"0 0 375.342812 360.738125\" width=\"375.342812pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\n",
       "  </style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 360.738125 \n",
       "L 375.342812 360.738125 \n",
       "L 375.342812 0 \n",
       "L 0 0 \n",
       "z\n",
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       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g clip-path=\"url(#p6d32b6b008)\">\n",
       "    <image height=\"327\" id=\"image4ea3027212\" transform=\"scale(1 -1)translate(0 -327)\" width=\"327\" x=\"38.482813\" xlink:href=\"data:image/png;base64,\n",
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       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p6d32b6b008\">\n",
       "   <rect height=\"326.16\" width=\"326.16\" x=\"38.482813\" y=\"10.7\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# assign values for the RGB.  Each value should be between 0 and 255\n",
    "R = 35\n",
    "G = 95\n",
    "B = 131\n",
    "\n",
    "plt.imshow([[np.array([R,G,B]).astype('uint8')]])\n",
    "plt.axis('off');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First we will reshape the image into a table that has a pixel per row and each column represents the red, green and blue channels."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[15, 18, 25],\n",
       "       [26, 16, 24],\n",
       "       [42, 15, 22],\n",
       "       [65, 16, 22],\n",
       "       [85, 14, 22]], dtype=uint8)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "img_flat = img.reshape(img.shape[0]*img.shape[1],3)\n",
    "img_flat[:5,:]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Since there are 480x640 pixels we get 307,200 rows! "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(307200, 3)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "img_flat.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's run K-means with 8 clusters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "kmeans = KMeans(n_clusters=8, random_state=0).fit(img_flat)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now let's replace each row with its closest cluster center."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "img_flat2 = img_flat.copy()\n",
    "\n",
    "# loops for each cluster center\n",
    "for i in np.unique(kmeans.labels_):\n",
    "    img_flat2[kmeans.labels_==i,:] = kmeans.cluster_centers_[i]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We now need to reshape the the data from 307,200 x 3 to 480 x 640 x 3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
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       "<!-- Created with matplotlib (http://matplotlib.org/) -->\n",
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       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\n",
       "  </style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
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       "L 378.7875 285.715781 \n",
       "L 378.7875 0 \n",
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       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g clip-path=\"url(#pa358daa98d)\">\n",
       "    <image height=\"252\" id=\"image440611d025\" transform=\"scale(1 -1)translate(0 -252)\" width=\"335\" x=\"33.2875\" xlink:href=\"data:image/png;base64,\n",
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\" y=\"-9.837656\"/>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"pa358daa98d\">\n",
       "   <rect height=\"251.1\" width=\"334.8\" x=\"33.2875\" y=\"10.737656\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "img2 = img_flat2.reshape(img.shape)\n",
    "\n",
    "plt.imshow(img2)\n",
    "plt.axis('off');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Problem 2:\n",
    "Write a function that receives the image and number of clusters (k), and returns (1) the image quantized into k colors, and (2) the inertia."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "def image_cluster(img,k):\n",
    "    ### Write code here\n",
    "    \n",
    "    \n",
    "    return img2, kmeans.inertia_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Problem 3:\n",
    "\n",
    "Call the function for k between 2 and 20, and draw an inertia curve.\n",
    "\n",
    "What is the optimum number of clusters?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "### Write code here\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Sometimes the elbow method does not work as expected.  There are alternatives such as the [silhouette coefficient] (https://scikit-learn.org/stable/modules/generated/sklearn.metrics.silhouette_score.html)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### NOTE: normalizing the features can also affect the way the clusters are created."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Problem 4:\n",
    "Plot in a grid all the images for the different k values."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "### Write code here\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}