{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"# CS109B Data Science 2: Advanced Topics in Data Science \n",
"\n",
"### Lab 3 - Clustering\n",
"\n",
"\n",
"\n",
"**Harvard University** \n",
"**Spring 2020** \n",
"**Instructors:** Mark Glickman, Pavlos Protopapas, and Chris Tanner \n",
"**Lab Instructors:** Chris Tanner and Eleni Kaxiras \n",
"**Content:** Chris Tanner and Will Claybaugh\n",
"\n",
"---"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n"
],
"text/plain": [
""
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"## RUN THIS CELL TO PROPERLY HIGHLIGHT THE EXERCISES\n",
"import requests\n",
"from IPython.core.display import HTML\n",
"styles = requests.get(\"https://raw.githubusercontent.com/Harvard-IACS/2019-CS109B/master/content/styles/cs109.css\").text\n",
"HTML(styles)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"\n",
"from sklearn.decomposition import PCA\n",
"from sklearn.preprocessing import StandardScaler\n",
"from sklearn import preprocessing\n",
"\n",
"%matplotlib inline "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Learning Objectives\n",
"\n",
"By the end of this lab, you should be able to:\n",
"* Explain what PCA is and know the differences between it and clustering\n",
"* Understand the common distance metrics (e.g., Euclidean, Manhattan, Hamming)\n",
"* Understand how different clustering algorithms work (e.g., k-means, Hierarchical, DBScan)\n",
"* Explain the trade-offs between the clustering approaches \n",
"* Quantitatively describe the quality clusters' fit, according to different metrics\n",
"* Comfortably cluster any new data that you are presented with\n",
"\n",
"**This lab corresponds to Lectures #4 and #5 and maps to Homework #2.**\n",
"\n",
"## Table of Contents\n",
"\n",
"1. PCA Refresher\n",
"2. Distant Metrics\n",
"3. Clustering Algorithms and Measuring Quality of Clusters\n",
" \n",
"## 1. PCA Refresher\n",
"\n",
" \n",
"\n",
"
Discussion #1 What is PCA? How can it be useful?
\n",
"\n",
"\n",
"### How to use it ( via `sklearn`):\n",
"\n",
"\\# assume we a DataFrame `df`\n",
"\n",
"#### a. Instantiate a new PCA object:\n",
"`pca_transformer = PCA()`\n",
"\n",
"#### b. Fit some data (learns the transformation based on this data):\n",
"`fitted_pca = pca_transformer.fit(df)`\n",
"\n",
"#### c. Transform the data to the reduced dimensions:\n",
"`pca_df = fitted_pca.transform(df)`\n",
"\n",
"Using two distinct steps (i.e., (b) and (c)) to fit and transform our data allows one the flexibility to transform any dataset according to our learned `fit()`. Alternatively, if you know you only want to transform a single dataset, you can combine (b) and (c) into one step:\n",
"#### Fit and transform:\n",
"`pca_df = pca_transformer.fit_transform(df)`\n",
"\n",
"### Example:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"ms_df = pd.read_csv(\"../data/multishapes.csv\")[['x','y']] # loads x,y columns of a dataset\n",
"pca_transformer = PCA()\n",
"fitted_pca = pca_transformer.fit(ms_df)\n",
"pca_df = fitted_pca.transform(ms_df)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**NOTE:** The above PCA transformation is a bit silly because we started with 2 dimensions and are transforming it to 2 dimensions -- no reduction. The data is still transforming the original data by applying a linear transformation so as to capture the most variance, but PCA is even more useful when the original data is high-dimensional. This example was just to remind you of the syntax.\n",
"\n",
" \n",
"\n",
"
Discussion #2: We didn't scale our data before applying PCA. Should we usually do so? Why or why not?
\n",
"\n",
"
\n",
"\n",
"## 2. Distance Metrics\n",
"\n",
"In the picture below, we are concerned with measuring the distance between two points, **p** and **q**.\n",
"
\n",
"(edited from Wikipedia.org)\n",
"
\n",
"\n",
"### Euclidean Distance:\n",
"\n",
"The Euclidean distance measures the shortest path between the two points, navigating through all dimensions:\n",
"\n",
"
\n",
"\n",
"
\n",
"\n",
"\n",
"### Manhattan Distance:\n",
"\n",
"The Manhattan distance measures the cumulative difference between the two points, across all dimensions.\n",
"\n",
"
\n",
"\n",
"
\n",
"\n",
"
Discussion #3: Where have we seen something like this before in CS109A? What are the effects of using one versus another?
\n",
"\n",
" \n",
"\n",
"### Hamming Distance (extra credit):\n",
"\n",
"If our two elements of comparison can be represented a sequence of discrete items, it can be useful to measure how many of their elements differ.\n",
"\n",
"For example:\n",
"- `Mahmoud` and `Mahmood` differ by just 1 character and thus have a hamming distance of 1.\n",
"- `10101` and `01101` have a hamming distance of 2.\n",
"- `Mary` and `Barry` have a hamming distance of 3 (m->b, y->r, null->y).\n",
"\n",
"Note: the last example may seem sub-optimal, as we could transform Mary to Barry by just 2 operations (substituting the M with a B, then adding an 'r'). The very related **Levenshtein distance** can handle this, and thus tends to be more appropriate for Strings.\n",
"\n",
"
Question: Why do we care about clustering? How/why is it useful?
\n",
"\n",
" \n",
"\n",
"
\n",
"\n",
"
\n",
"\n",
"
\n",
"\n",
"We will now walk through three clustering algorithms, first discussing them at a high-level, then showing how to implement them with Python libraries. Let's first load and scale our data, so that particular dimensions don't naturally dominate in their contributions in the distant calculations:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
Table Exercise #1: With your table, collectively discuss how k-means works. Use a whiteboard, draw a bunch of dots, and walk through each step of how the algorithm works. When you're confident of your answer, speak with a TF to verify its correctness.
\n",
"\n",
"### Code (via `sklearn`):"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.cluster import KMeans\n",
"ms_kmeans = KMeans(n_clusters=3, init='random', n_init=3, random_state=109).fit(scaled_df)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"That's it! Just 1 line of code!\n",
"\n",
"Now that we've run k-Means, we can look at various attributes of our clusters. Full documenation is [here](https://scikit-learn.org/stable/modules/generated/sklearn.cluster.KMeans.html)."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 1.06623356, 0.17403387],\n",
" [-0.46343097, 0.54170897],\n",
" [-0.98352608, -1.57663916]])"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"array([1, 0, 0, 1, 0, 0, 1, 1, 1, 1], dtype=int32)"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"display(ms_kmeans.cluster_centers_)\n",
"display(ms_kmeans.labels_[0:10])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Plotting\n",
"Take note of matplotlib's `c=` argument to color items in the plot, along with our stacking two different plotting functions in the same plot."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"
Question: Is this expected or did something go wrong? Should we always scale our data before clustering?
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Lessons:\n",
" - Initializations matter; run multiple times\n",
" - Total Squared distance should never get worse during an update\n",
" - k-Means can struggle with clusters that are close together; they can get lumped into one\n",
" - There's no notion of 'not part of any cluster' or 'part of two clusters'\n",
" - [Visualization here](http://web.stanford.edu/class/ee103/visualizations/kmeans/kmeans.html)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Quality of Clusters: Inertia\n",
"Inertia measures the total squared distance from points to their cluster's centroid. We obviously want this distance to be relatively small. If we increase the number of clusters, it will naturally make the average distance smaller. If every point has its own cluster, then our distance would be 0. That's obviously not an ideal way to cluster. One way to determine a reasonable number of clusters to simply try many different clusterings as we vary **k**, and each time, measure the overall inertia."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"wss = []\n",
"for i in range(1,11):\n",
" fitx = KMeans(n_clusters=i, init='random', n_init=5, random_state=109).fit(scaled_df)\n",
" wss.append(fitx.inertia_)\n",
"\n",
"plt.figure(figsize=(11,8.5))\n",
"plt.plot(range(1,11), wss, 'bx-')\n",
"plt.xlabel('Number of clusters $k$')\n",
"plt.ylabel('Inertia')\n",
"plt.title('The Elbow Method showing the optimal $k$')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Look for the place(s) where distance stops decreasing as much (i.e., the 'elbow' of the curve). It seems that 4 would be a good number of clusters, as a higher *k* yields diminishing returns."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Quality of Clusters: Silhouette\n",
"\n",
"Let's say we have a data point $i$, and the cluster it belongs to is referred to as $C(i)$. One way to measure the quality of a cluster $C(i)$ is to measure how close its data points are to each other (within-cluster) compared to nearby, other clusters $C(j)$. This is what `Silhouette Scores` provide for us. The range is [-1,1]; 0 indicates a point on the decision boundary (equal average closeness to points intra-cluster and out-of-cluster), and negative values mean that datum might be better in a different cluster.\n",
"\n",
"Specifically, let $a(i)$ denote the average distance data point $i$ is to the other points in the same cluster:\n",
"\n",
"
\n",
"\n",
"
\n",
"\n",
"Similarly, we can also compute the average distance that data point $i$ is to all **other** clusters. The cluster that yields the minimum distance is denoted by $b(i)$: \n",
"\n",
"
\n",
"\n",
"
\n",
"\n",
"Hopefully our data point $i$ is much closer, on average, to points within its own cluster (i.e., $a(i)$ than it is to its closest neighboring cluster $b(i)$). The silhouette score quantifies this as $s(i)$:\n",
"\n",
"
\n",
"\n",
"
\n",
"\n",
"**NOTE:** If data point $i$ belongs to its own cluster (no other points), then the silhouette score is set to 0 (otherwise, $a(i)$ would be undefined).\n",
"\n",
"The silhouette score plotted below is the **overall average** across all points in our dataset.\n",
"\n",
"The `silhouette_score()` function is available in `sklearn`. We can manually loop over values of K (for applying k-Means algorithm), then plot its silhouette score. This should allow us to make a reasonable choice for selecting the 'optimal' number of clusters."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"from sklearn.metrics import silhouette_score\n",
"\n",
"scores = [0]\n",
"for i in range(2,11):\n",
" fitx = KMeans(n_clusters=i, init='random', n_init=5, random_state=109).fit(scaled_df)\n",
" score = silhouette_score(scaled_df, fitx.labels_)\n",
" scores.append(score)\n",
" \n",
"plt.figure(figsize=(11,8.5))\n",
"plt.plot(range(1,11), np.array(scores), 'bx-')\n",
"plt.xlabel('Number of clusters $k$')\n",
"plt.ylabel('Average Silhouette')\n",
"plt.title('Silhouette Scores for varying $k$ clusters')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Visualizing all Silhoutte scores for a particular clustering\n",
"\n",
"Below, we borrow from an `sklearn` example. The second plot may be overkill.\n",
" - The second plot is just the scaled data. It is *not* a PCA plot\n",
" - If you only need the raw silhouette scores, use the `silhouette_samples()` function"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.metrics import silhouette_samples, silhouette_score\n",
"import matplotlib.cm as cm\n",
"#modified code from http://scikit-learn.org/stable/auto_examples/cluster/plot_kmeans_silhouette_analysis.html\n",
"\n",
"def silplot(X, clusterer, pointlabels=None):\n",
" cluster_labels = clusterer.labels_\n",
" n_clusters = clusterer.n_clusters\n",
" \n",
" # Create a subplot with 1 row and 2 columns\n",
" fig, (ax1, ax2) = plt.subplots(1, 2)\n",
" fig.set_size_inches(11,8.5)\n",
"\n",
" # The 1st subplot is the silhouette plot\n",
" # The silhouette coefficient can range from -1, 1 but in this example all\n",
" # lie within [-0.1, 1]\n",
" ax1.set_xlim([-0.1, 1])\n",
" \n",
" # The (n_clusters+1)*10 is for inserting blank space between silhouette\n",
" # plots of individual clusters, to demarcate them clearly.\n",
" ax1.set_ylim([0, len(X) + (n_clusters + 1) * 10])\n",
"\n",
" # The silhouette_score gives the average value for all the samples.\n",
" # This gives a perspective into the density and separation of the formed\n",
" # clusters\n",
" silhouette_avg = silhouette_score(X, cluster_labels)\n",
" print(\"For n_clusters = \", n_clusters,\n",
" \", the average silhouette_score is \", silhouette_avg,\".\",sep=\"\")\n",
"\n",
" # Compute the silhouette scores for each sample\n",
" sample_silhouette_values = silhouette_samples(X, cluster_labels)\n",
"\n",
" y_lower = 10\n",
" for i in range(0,n_clusters+1):\n",
" # Aggregate the silhouette scores for samples belonging to\n",
" # cluster i, and sort them\n",
" ith_cluster_silhouette_values = \\\n",
" sample_silhouette_values[cluster_labels == i]\n",
"\n",
" ith_cluster_silhouette_values.sort()\n",
"\n",
" size_cluster_i = ith_cluster_silhouette_values.shape[0]\n",
" y_upper = y_lower + size_cluster_i\n",
"\n",
" color = cm.nipy_spectral(float(i) / n_clusters)\n",
" ax1.fill_betweenx(np.arange(y_lower, y_upper),\n",
" 0, ith_cluster_silhouette_values,\n",
" facecolor=color, edgecolor=color, alpha=0.7)\n",
"\n",
" # Label the silhouette plots with their cluster numbers at the middle\n",
" ax1.text(-0.05, y_lower + 0.5 * size_cluster_i, str(i))\n",
"\n",
" # Compute the new y_lower for next plot\n",
" y_lower = y_upper + 10 # 10 for the 0 samples\n",
"\n",
" ax1.set_title(\"The silhouette plot for the various clusters.\")\n",
" ax1.set_xlabel(\"The silhouette coefficient values\")\n",
" ax1.set_ylabel(\"Cluster label\")\n",
"\n",
" # The vertical line for average silhouette score of all the values\n",
" ax1.axvline(x=silhouette_avg, color=\"red\", linestyle=\"--\")\n",
"\n",
" ax1.set_yticks([]) # Clear the yaxis labels / ticks\n",
" ax1.set_xticks([-0.1, 0, 0.2, 0.4, 0.6, 0.8, 1])\n",
"\n",
" # 2nd Plot showing the actual clusters formed\n",
" colors = cm.nipy_spectral(cluster_labels.astype(float) / n_clusters)\n",
" ax2.scatter(X[:, 0], X[:, 1], marker='.', s=200, lw=0, alpha=0.7,\n",
" c=colors, edgecolor='k')\n",
" xs = X[:, 0]\n",
" ys = X[:, 1]\n",
" \n",
" if pointlabels is not None:\n",
" for i in range(len(xs)):\n",
" plt.text(xs[i],ys[i],pointlabels[i])\n",
"\n",
" # Labeling the clusters\n",
" centers = clusterer.cluster_centers_\n",
" # Draw white circles at cluster centers\n",
" ax2.scatter(centers[:, 0], centers[:, 1], marker='o',\n",
" c=\"white\", alpha=1, s=200, edgecolor='k')\n",
"\n",
" for i, c in enumerate(centers):\n",
" ax2.scatter(c[0], c[1], marker='$%d$' % int(i), alpha=1,\n",
" s=50, edgecolor='k')\n",
"\n",
" ax2.set_title(\"The visualization of the clustered data.\")\n",
" ax2.set_xlabel(\"Feature space for the 1st feature\")\n",
" ax2.set_ylabel(\"Feature space for the 2nd feature\")\n",
"\n",
" plt.suptitle((\"Silhouette analysis for KMeans clustering on sample data \"\n",
" \"with n_clusters = %d\" % n_clusters),\n",
" fontsize=14, fontweight='bold')"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"For n_clusters = 3, the average silhouette_score is 0.4269854455072775.\n"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"
\n",
"\n",
"Using the silhouette scores' optimal number of clusters (per the elbow plot above):\n",
"- Fit a new k-Means model with that many clusters\n",
"- Plot the clusters like we originally did with k-means\n",
"- Plot the silhouette scores just like the above cells\n",
"- Which seems like a better clustering (i.e., 3 clusters or the number returned by the elbow plot above)?"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"# your code here\n",
"# %load solutions/exercise1-solution.py"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Quality of Clusters: Gap Statistic\n",
"The gap statistic compares within-cluster distances (like in silhouette), but instead of comparing against the second-best existing cluster for that point, it compares our clustering's overall average to the average we'd see if the data were generated at random (we'd expect randomly generated data to not necessarily have any inherit patterns that can be easily clustered). For full details, you can [read the original research paper.](https://statweb.stanford.edu/~gwalther/gap)\n",
"\n",
"In essence, the within-cluster distances (in the elbow plot) will go down just becuse we have more clusters. We additionally calculate how much they'd go down on non-clustered data with the same spread as our data and subtract that trend out to produce the plot below."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Optimal clusters: 14\n"
]
}
],
"source": [
"from gap_statistic import OptimalK\n",
"from sklearn.datasets.samples_generator import make_blobs\n",
"\n",
"gs_obj = OptimalK()\n",
"\n",
"n_clusters = gs_obj(scaled_df.values, n_refs=50, cluster_array=np.arange(1, 15))\n",
"print('Optimal clusters: ', n_clusters)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"