From c009448b1aa45d0177f1ba326350dda9d8d1c337 Mon Sep 17 00:00:00 2001 From: ffreire92 Date: Wed, 9 Jun 2021 12:54:32 +0200 Subject: [PATCH] lab_usl_evaluation [Francisco Freire] --- ...Learning Model Evaluation-checkpoint.ipynb | 485 ++++++++++ .../Untitled-checkpoint.ipynb | 6 + .../.ipynb_checkpoints/main-checkpoint.ipynb | 843 ++++++++++++++++++ .../.ipynb_checkpoints/test2-checkpoint.ipynb | 32 + ...supervised Learning Model Evaluation.ipynb | 2 +- your-code/Untitled.ipynb | 6 + your-code/main.ipynb | 706 ++++++++++++++- your-code/test2.ipynb | 32 + 8 files changed, 2089 insertions(+), 23 deletions(-) create mode 100644 your-code/.ipynb_checkpoints/Unsupervised Learning Model Evaluation-checkpoint.ipynb create mode 100644 your-code/.ipynb_checkpoints/Untitled-checkpoint.ipynb create mode 100644 your-code/.ipynb_checkpoints/main-checkpoint.ipynb create mode 100644 your-code/.ipynb_checkpoints/test2-checkpoint.ipynb create mode 100644 your-code/Untitled.ipynb create mode 100644 your-code/test2.ipynb diff --git a/your-code/.ipynb_checkpoints/Unsupervised Learning Model Evaluation-checkpoint.ipynb b/your-code/.ipynb_checkpoints/Unsupervised Learning Model Evaluation-checkpoint.ipynb new file mode 100644 index 0000000..8306ccb --- /dev/null +++ b/your-code/.ipynb_checkpoints/Unsupervised Learning Model Evaluation-checkpoint.ipynb @@ -0,0 +1,485 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Unsupervised Learning Model Evaluation\n", + "\n", + "\n", + "## Lesson Goals\n", + "\n", + " Learn about unsupervised model evaluation.\n", + " Calculate silhouette scores for models.\n", + " Determine optimal number of clusters with elbow curves.\n", + " Evaluate cluster quality with Adjusted Rand Score.\n", + " Use visualization techniques to evaluate clusters.\n", + "\n", + "\n", + "## Introduction\n", + "\n", + "Evaluating an unsupervised machine learning model presents a very tricky problem. With supervised learning, the best metric to use to evaluate a model varied from application to application, but the overall idea is straight-forward - come up with a statistically sound way to compare the model predictions with our known ground truth. With an unsupervised problem, generally speaking we do not have any ground truth labels, so there's no definitive source of truth with which we can compare our model predictions. On some level, this presents an impossible problem - there's no magic bullet or single number that tells us a given unsupervised model is best. Faced with this problem, what are we supposed to do? The answer, unfortunately, is it depends. More specifically, we need to consider what the purpose of our unsupervised learning is, and subjectively analyze it in terms of how well it accomplishes that purpose.\n", + "\n", + "Broadly speaking, unsupervised learning is the process of using algorithms to discover some latent underlying structure in a dataset. In some cases, this is an end unto itself. An e-commerce site might want to make a recommender system that uses shopping history to present new products of interest to users. There's no inherent \"right\" answer here, but a clustering algorithm that does a better job finding clusters of products that are actually related purchases will be better in this context. In other cases, the unsupervised learning is actually a step in a machine learning pipeline - it finds some underlying structures in the data that can be used as features for a supervised learning system to generate better predictions. In this case, we might judge the performance of the unsupervised model by how much it improves the downstream performance of the supervised model (based on the metric(s) of choice for the supervised model).\n", + "\n", + "Finally, with unsupervised learning models it is important not to discount the role of human intuition and visualizations to evaluate models. Although we have prominent, well-documented cognitive biases and shortcomings, humans are often quite good at recognizing patterns visually and evaluating whether a model \"looks right.\" An important step in evaluating a model is thus often to produce visualizations that highlight some aspect of the model's predictions and see how \"right\" they look to the human eye. An intuitively similar approach can involve looking at representative samples of members of the clusters/predictions generated by the model. Although this is necessarily a subjective process, it should not be underestimated as a useful tool for evaluation.\n", + "\n", + "Compare the two clustering algorithms on the following example:\n", + "\n", + "![](circles.png)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "It is fairly obvious to the human eye that the first algorithm does a better job at identifying the two qualitatively different classes of data present. Although real-world data is rarely this well-behaved, visualization is often one of the best tools we have to make sense of a clustering algorithm.\n", + "\n", + "\n", + "## Evaluating Quality of Clustering\n", + "\n", + "In the case where we are simply interested in the quality of clustering for its own sake, we have a few tools at our disposal.\n", + "\n", + "\n", + "## Silhouette Score\n", + "\n", + "This is the closest technique to the relatively simple scoring methods we learned with Supervised Learning. It basically evaluates a model based on how well defined the cluster centers are. For each sample in the dataset, it is defined as:\n", + "\n", + "![](form.png)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "where a is the mean distance between the sample and all other points in the same class, and b is the mean distance between the sample and all the other points in the next nearest cluster\n", + "\n", + "For a dataset, we then take the mean Silhouette score for every sample. The score is in the range [-1, 1], with a higher score corresponding to dense, well-separated clusters and scores around 0 indicating overlapping clusters. Scikit-Learn has an implementation:\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.metrics import silhouette_score\n", + "\n", + "# score = silhouette_score(X, labels, metric='euclidean')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This method is useful because it is straightforward and can be calculated without labels on virtually any clustering problem. However, there are a couple of important caveats:\n", + "\n", + " The Silhouette score does not say anything, per se, about the usefulness of clusters in a particular\n", + " case. All it says is how well clusters behave in the definitional sense of clusters - e.g. how \n", + " dense are they and how well separated.\n", + "\n", + " The score is very similar to the metric that common algorithms like KMeans seek to optimize, so \n", + " it can lead to overfitting (we are judging a model based on how well it does the exact thing it \n", + " was trained to do). Having a hold-out test set of data can help with this issue.\n", + "\n", + " This score favors convex clusters (defined geometrically as clusters where, for every pair of \n", + " points within the object, every point on the straight line joining them is also within the object). \n", + " This is fine for data that is amenable to K-Means style clustering, but for many datasets it will \n", + " give an artificially low score.\n", + "\n", + "**Note**: The metric argument is the distance metric to use. Euclidean distance is the simplest, but it does not work well for high dimensional data.\n", + "\n", + "In the example below, we are generating some data, fitting two clustering models to the data, plotting the clusters assigned by each model, and then printing the silhouette scores for each." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Model 1 Silhouette Score: 0.39229052843986295\n", + "Model 2 Silhouette Score: 0.4996236501463414\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn import cluster, datasets\n", + "from sklearn.preprocessing import StandardScaler\n", + "from matplotlib.lines import Line2D\n", + "from sklearn.metrics import silhouette_score\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib inline\n", + "\n", + "\n", + "n_samples = 1500\n", + "X, y = datasets.make_moons(n_samples=n_samples, noise=.05)\n", + "X = StandardScaler().fit_transform(X)\n", + "\n", + "single = cluster.AgglomerativeClustering(n_clusters=2, linkage='single')\n", + "kmeans = cluster.KMeans(n_clusters=2)\n", + "single.fit(X)\n", + "y1_pred = single.labels_.astype(np.int)\n", + "kmeans.fit(X)\n", + "y2_pred = kmeans.predict(X)\n", + "\n", + "\n", + "fig, ax = plt.subplots(1, 2, figsize=(15, 8))\n", + "colors = np.array(['blue', 'red'])\n", + "legend_elems = [Line2D([0], [0], color=color, marker='o', linestyle='', label=\"Predicted Class {}\".format(i))\n", + " for i, color in enumerate(colors)]\n", + "ax[0].scatter(X[:, 0], X[:, 1], color=colors[y1_pred]);\n", + "ax[0].legend(handles=legend_elems, loc='upper right')\n", + "ax[1].scatter(X[:, 0], X[:, 1], color=colors[y2_pred]);\n", + "ax[1].legend(handles=legend_elems, loc='upper right')\n", + "\n", + "print(\"Model 1 Silhouette Score: {}\".format(silhouette_score(X, y1_pred)))\n", + "print(\"Model 2 Silhouette Score: {}\".format(silhouette_score(X, y2_pred)))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As you can see, the second model, based on KMeans and generating convex clusters, has a higher silhouette score, despite doing a qualitatively worse job identifying the clusters in the dataset.\n", + "\n", + "Scikit-Learn also has two other metrics, Calinsky-Harabaz Index and Davies-Bouldin Index which generate similarly \"simple\" metrics for cluster quality, but generally suffer from the same problems as Silhouette Score.\n", + "\n", + "\n", + "## Optimal Number of Clusters\n", + "\n", + "When training a clustering algorithm, one of the hardest and most important parameters to optimize is the number of clusters. Having too many clusters might mean that we haven't actually learned much about the data - the whole point of clustering is to identify a relatively small number of similarities that exist in the dataset. Too few clusters might mean that we are grouping unlike samples together artificially. There are many different methods for choosing the appropriate number of clusters, but one common method is calculating a metric (for KMeans usually using its standard sum-of-square-means score function that it tries to minimize) for each number of clusters, then plotting the error function vs the number of clusters.\n", + "\n", + "![](elbow.png)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The optimum number of clusters is often where the plot displays an \"elbow\" or an inflection point where the slope of the line changes significantly. In this case, we can see an elbow at 3 clusters. Unfortunately, in real world datasets this can sometimes be difficult to ascertain, but it is still a worthwhile thing to look at.\n", + "\n", + "The Yellowbrick machine visualization library has an implementation of an elbow curve visualizer that can be generated as follows. " + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from yellowbrick.cluster import KElbowVisualizer\n", + "from sklearn.cluster import KMeans\n", + "\n", + "model = KMeans()\n", + "visualizer = KElbowVisualizer(model, k=(4,12))\n", + "visualizer.fit(X)\n", + "visualizer.poof();" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Other Numerical Approaches\n", + "\n", + "If ground truth (actual labels) are known for a dataset, the options for evaluating the quality of clustering expand dramatically. These methods were often used in research for the development and refinement of clustering algorithms. In these cases, the ground truth labels were either self-evident (the common benchmark MNIST dataset of handwritten digits, for example), or were generated using labor-intensive human experts. Regardless of where the labels come from, a set of labeled data can be held out from the data that the clustering algorithm trains on, then used to evaluate performance, a process known as external evaluation. Scikit-Learn has a number of methods to perform this evaluation, but the most common is the Adjusted Rand Index: " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.metrics import adjusted_rand_score\n", + "\n", + "# score = adjusted_rand_score(true_labels, predicted_labels)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "It ranges from [-1, 1], with positive being better. It also does not assume a distribution of the underlying clusters either, so will work equally well on convex and non-convex clusters.\n", + "\n", + "In practice, unfortunately, real world datasets for clustering rarely have labels, so this method is of limited use. However, in some problems, you may be able to generate some labels by hand to use as a test set for external evaluation.\n", + "\n", + "\n", + "## Feature Generation for Supervised Learning\n", + "\n", + "Another way that unsupervised learning is frequently used is to find underlying structures in a dataset that can in turn be used by a supervised learning technique such as Linear Regression to improve prediction results. This can be done for a variety of reasons, but one of the most common is the so-called curse of dimensionality, the phenomena whereby the feature space of a dataset increases so fast that the dataset quickly becomes extremely sparse, creating problems for most statistical methods. A solution to this is to first apply an unsupervised dimensionality reduction model on the dataset, then use the resulting smaller set of features in the classifier/regressor. Another use case is creating more interpretable models; if a classifier is built using clusters as features, the relative importance of these clusters as well as the membership of the clusters can be used to gain insight about how the model is making its predictions.\n", + "\n", + "When using unsupervised learning in this context (creating features for a supervised learning model), we often will use the performance of the derived supervised model to evaluate the quality of the unsupervised model. For the unsupervised model to be useful, it should improve some aspect of performance on the supervised model, so we should be able to use any of the supervised learning model evaluation techniques to compare results with a baseline supervised model that doesn't use the unsupervised-derived features.\n", + "\n", + "## Visualization Techniques\n", + "\n", + "Visualization is extremely important to understanding Unsupervised models. On low dimensional datasets (2-3 dimensions), it is relatively easy to use plots such as those presented earlier in this lesson to evaluate how well a model does at identifying clusters (or outliers) in the data.\n", + "\n", + "\n", + "## Visualizing Clusters\n", + "\n", + "The most basic visualization we can do is a basic 2-d scatterplot of the data with colors corresponding to clusters. This lets us visually determine whether the clustering algorithm appears to be doing a good job at identifying clusters." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.datasets import make_blobs\n", + "from sklearn.cluster import KMeans\n", + "\n", + "X, _ = make_blobs(n_samples=1500, centers=4, cluster_std=1.5)\n", + "\n", + "kmeans = KMeans(n_clusters=4)\n", + "kmeans.fit(X)\n", + "y_pred = kmeans.predict(X)\n", + "\n", + "plt.figure(figsize=(12,7))\n", + "plt.scatter(X[:, 0], X[:, 1], c=y_pred)\n", + "\n", + "centers = kmeans.cluster_centers_\n", + "plt.scatter(centers[:, 0], centers[:, 1], c='red', s=50, alpha=0.75)\n", + "\n", + "plt.show();" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This can even be done in 3D in a meaningful way, but in the real world we often have much higher dimensionality data. However, not all dimensions are created equal. We might have 10 or 20 features that are inputs for the clustering, but we're really only interested in a few of those features (or perhaps understand from the problem domain that a few are far more influential than others). We can then hand select a few pairs of important features and construct a cluster plot of these pairs to see whether the clustering algorithm is doing a good job discriminating between these paired variables. A bit of a more robust approach is to construct a scatter matrix containing of all pairs of variables and see where the clustering algorithm appears to be doing a good job of differentiating.\n", + "\n", + "These ad-hoc dimensionality reduction approaches do have the problem of assuming clean, differentiable pair-wise patterns in the data. In reality, your dataset might be more complicated than that, and have complex, multi-dimensional decision boundaries that when projected into any given 2 dimensions are not particularly enlightening/clear. Still, looking at pair-wise plots via scatter matrices can be a good exercise for many use cases.\n", + "\n", + "\n", + "## PCA\n", + "\n", + "Another more sophisticated approach to handling higher dimensional data is a Principal Component Analysis (PCA), which we were introduced to in a previous lesson. A PCA transform attempts to find the orthogonal set of vectors that account for as much of the variability of the dataset in as few components as possible. The first principal component will encompass as much of the dataset variation as possible in 1 dimension, the second component will encompass as much as possible of the remaining variation as possible while remaining orthogonal to the first, and so on. Practically speaking, this means that taking the first n principal components of a dataset captures as much linearly uncorrelated variation as possible.\n", + "\n", + "This intuition can be seen visually:" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.datasets import make_blobs\n", + "from mpl_toolkits.mplot3d import Axes3D\n", + "from scipy.spatial.transform import Rotation as R\n", + "\n", + "X, _ = make_blobs(n_samples=500, n_features=2, centers=3, cluster_std=1.0)\n", + "\n", + "X = np.c_[X, 0.5 * np.random.randn(X.shape[0], 1)]\n", + "\n", + "rot = R.from_euler('y', 45, degrees=True)\n", + "X = rot.apply(X)\n", + "\n", + "fig = plt.figure(figsize=(12, 8))\n", + "ax = fig.gca(projection='3d')\n", + "\n", + "ax.scatter(X[:, 0], X[:, 1], X[:, 2])\n", + "ax.set_xlim(-7, 7)\n", + "ax.set_ylim(-7, 7)\n", + "ax.set_zlim(-7, 7)\n", + "\n", + "ax.view_init(elev=20, azim=65)\n", + "plt.show();" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In this 3D plot we can see that 3 clusters in the data, but it would be difficult to define these clusters along any of the 3 axes x, y, or z. Now we apply a PCA and plot the components: " + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.decomposition import PCA\n", + "\n", + "pca = PCA()\n", + "pca.fit(X)\n", + "pca_X = pca.transform(X)\n", + "\n", + "fig = plt.figure(figsize=(12, 8))\n", + "ax = [plt.subplot2grid((6, 1), (0, 0), rowspan=4), plt.subplot2grid((6, 1), (5, 0))]\n", + "\n", + "ax[0].scatter(pca_X[:, 0], pca_X[:, 1])\n", + "ax[0].set_xlabel(\"PCA 1\")\n", + "ax[0].set_ylabel(\"PCA 2\")\n", + "\n", + "ax[1].set_title('PCA 3', pad=-5)\n", + "ax[1].hlines(1, -7, 10)\n", + "y = np.ones(X.shape[0])\n", + "ax[1].plot(pca_X[:, 2], y, '|', ms='20')\n", + "ax[1].axis('off')\n", + "\n", + "plt.show();" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As we can see, the PCA transformed us into a vector space where the vast majority of the variation in the data (the 3 clusters generated) are in a 2D space (indeed most of the variation for the 3 clusters could be captured in the first vector, x), and the last PCA component contains relatively little variation.\n", + "\n", + "For datasets that are amenable to linear transforms, PCA can be a powerful method to reduce the dimensionality of the dataset and allow us to make 2 or 3 dimensional plots of higher dimensionality data.\n", + "\n", + "\n", + "## T-SNE Plots\n", + "\n", + "Another approach to visualizing high-dimensional datasets is t-distributed Stochastic Neighbor Embedding (t-SNE). It is one of the most and widely used of so-called manifold learning techniques which attempt to achieve similar ends as PCA (dimensionality reduction and maximization of variation in orthogonal vectors) for non-linearly separable datasets.\n", + "\n", + "t-SNE uses a complicated algorithm to come up with a 2D representation of data that allows insightful visualization of high dimensional data. The algorithm is adaptive and non-linear, meaning that it can perform different transformations in different areas of the dataset. This allows it to represent both global and local structure faithfully. It also requires a tuning parameter, perplexity, which can be thought of as a balancing act between representing local structure vs. global patterns in the data.\n", + "\n", + "The details of t-SNE are far beyond this lesson, but generally it is worth keeping a few things in mind:\n", + "\n", + " t-SNE is much more computationally expensive than a linear transform like PCA, so it will run much\n", + " slower, especially on large datasets. One approach to counter this can be to first use PCA to lower \n", + " the dimensionality of the input data, then run t-SNE on the PCA-transformed output.\n", + "\n", + " The hyper-parameters (mainly perplexity) can produce different plots, so it is important to run it\n", + " multiple times with different values of perplexity to compare results.\n", + "\n", + " t-SNE is all about representing clusters in the data. Relative distances and positions of clusters \n", + " in the visualization may not have significance.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.manifold import TSNE\n", + "\n", + "X, y = datasets.load_iris(return_X_y=True)\n", + "\n", + "fig, ax = plt.subplots(1, 4, figsize=(15, 7))\n", + "for i, perp in enumerate([5, 30, 50, 100]):\n", + " tsne = TSNE(perplexity=perp)\n", + " x_embedded = tsne.fit_transform(X)\n", + " ax[i].scatter(x_embedded[:, 0], x_embedded[:, 1], c=y)\n", + " ax[i].set_title(\"Perplexity = {}\".format(perp))\n", + " \n", + "plt.show();" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The output of a t-SNE can be used to visually explore data (to get a sense of the appropriate number of clusters in a high dimensional space, for example), or as the input into another algorithm directly. A clustering algorithm could be applied directly to the output of t-SNE to linearly separate the non-linear clusters in the data it found and build up an accurate or useful unsupervised learning pipeline." + ] + }, + { + "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": "3.8.5" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/your-code/.ipynb_checkpoints/Untitled-checkpoint.ipynb b/your-code/.ipynb_checkpoints/Untitled-checkpoint.ipynb new file mode 100644 index 0000000..7fec515 --- /dev/null +++ b/your-code/.ipynb_checkpoints/Untitled-checkpoint.ipynb @@ -0,0 +1,6 @@ +{ + "cells": [], + "metadata": {}, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/your-code/.ipynb_checkpoints/main-checkpoint.ipynb b/your-code/.ipynb_checkpoints/main-checkpoint.ipynb new file mode 100644 index 0000000..f632c45 --- /dev/null +++ b/your-code/.ipynb_checkpoints/main-checkpoint.ipynb @@ -0,0 +1,843 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Unsupervised Learning Model Evaluation Lab\n", + "\n", + "Complete the exercises below to solidify your knowledge and understanding of unsupervised learning model evaluation." + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from sklearn import cluster, datasets" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn import datasets\n", + "\n", + "data = datasets.load_wine()\n", + "\n", + "X = pd.DataFrame(data[\"data\"], columns=data[\"feature_names\"])\n", + "y = pd.Series(data[\"target\"])" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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alcoholmalic_acidashalcalinity_of_ashmagnesiumtotal_phenolsflavanoidsnonflavanoid_phenolsproanthocyaninscolor_intensityhueod280/od315_of_diluted_winesproline
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" + ], + "text/plain": [ + " alcohol malic_acid ash alcalinity_of_ash magnesium total_phenols \\\n", + "0 14.23 1.71 2.43 15.6 127.0 2.80 \n", + "1 13.20 1.78 2.14 11.2 100.0 2.65 \n", + "2 13.16 2.36 2.67 18.6 101.0 2.80 \n", + "3 14.37 1.95 2.50 16.8 113.0 3.85 \n", + "4 13.24 2.59 2.87 21.0 118.0 2.80 \n", + "\n", + " flavanoids nonflavanoid_phenols proanthocyanins color_intensity hue \\\n", + "0 3.06 0.28 2.29 5.64 1.04 \n", + "1 2.76 0.26 1.28 4.38 1.05 \n", + "2 3.24 0.30 2.81 5.68 1.03 \n", + "3 3.49 0.24 2.18 7.80 0.86 \n", + "4 2.69 0.39 1.82 4.32 1.04 \n", + "\n", + " od280/od315_of_diluted_wines proline \n", + "0 3.92 1065.0 \n", + "1 3.40 1050.0 \n", + "2 3.17 1185.0 \n", + "3 3.45 1480.0 \n", + "4 2.93 735.0 " + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " alcohol malic_acid\n", + "0 14.23 1.71\n", + "1 13.20 1.78\n", + "2 13.16 2.36\n", + "3 14.37 1.95\n", + "4 13.24 2.59\n", + ".. ... ...\n", + "173 13.71 5.65\n", + "174 13.40 3.91\n", + "175 13.27 4.28\n", + "176 13.17 2.59\n", + "177 14.13 4.10\n", + "\n", + "[178 rows x 2 columns]" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X[['alcohol', 'malic_acid']]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 1. Train a KMeans clustering model on the data set using 8 clusters and compute the silhouette score for the model." + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.cluster import KMeans" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.metrics import silhouette_score" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.5392845512253707" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kmeans=KMeans(n_clusters=8)\n", + "clusters=kmeans.fit(X)\n", + "y1_pred = kmeans.predict(X)\n", + "silhouette_score(X, y1_pred)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 2. Train a KMeans clustering model on the data set using 5 clusters and compute the silhouette score for the model." + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.5489993239795691" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kmeans=KMeans(n_clusters=5)\n", + "clusters=kmeans.fit(X)\n", + "y2_pred = kmeans.predict(X)\n", + "silhouette_score(X, y2_pred)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 3. Train a KMeans clustering model on the data set using 3 clusters and compute the silhouette score for the model." + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.5711381937868844" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kmeans=KMeans(n_clusters=3)\n", + "clusters=kmeans.fit(X)\n", + "y2_pred = kmeans.predict(X)\n", + "silhouette_score(X, y2_pred)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 4. Use elbow curve visualizations to see if you can determine the best number of clusters to use.\n", + "\n", + "The Yellowbrick library has 3 metrics that you can plot using the `metric` parameter:\n", + "\n", + "- **distortion**: mean sum of squared distances to centers\n", + "- **silhouette**: mean ratio of intra-cluster and nearest-cluster distance\n", + "- **calinski_harabaz**: ratio of within to between cluster dispersion" + ] + }, + { + "cell_type": "raw", + "metadata": {}, + "source": [ + "!pip install yellowbrick" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [], + "source": [ + "from yellowbrick.cluster import KElbowVisualizer" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "findfont: Font family ['sans-serif'] not found. Falling back to DejaVu Sans.\n", + "findfont: Font family ['sans-serif'] not found. Falling back to DejaVu Sans.\n", + "findfont: Font family ['sans-serif'] not found. Falling back to DejaVu Sans.\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "model=cluster.KMeans()\n", + "\n", + "visual=KElbowVisualizer(model, k=(1, 15))\n", + "visual.fit(X)\n", + "\n", + "visual.poof();" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 5. Try performing the same elbow tests with an AgglomerativeClustering model and compare the results you get to the KMeans results." + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.5393938960075034" + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "single=cluster.AgglomerativeClustering(n_clusters=2, linkage='single')\n", + "single.fit(X)\n", + "\n", + "y3_pred=single.labels_\n", + "\n", + "silhouette_score(X, y3_pred) #best result" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\n", + " 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n", + " 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n", + " 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n", + " 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n", + " 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n", + " 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n", + " 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n", + " 0, 0])" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y3_pred" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 6. Create and plot a scatter matrix showing how the clusters are grouped across all the different combinations of variables in the data.\n", + "\n", + "Use the model and number of clusters that returned the best result above." + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Index(['alcohol', 'malic_acid', 'ash', 'alcalinity_of_ash', 'magnesium',\n", + " 'total_phenols', 'flavanoids', 'nonflavanoid_phenols',\n", + " 'proanthocyanins', 'color_intensity', 'hue',\n", + " 'od280/od315_of_diluted_wines', 'proline'],\n", + " dtype='object')" + ] + }, + "execution_count": 67, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X.columns" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "from matplotlib.lines import Line2D" + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig,ax = plt.subplots(3, 1, figsize=(15, 8))\n", + "\n", + "colors=np.array(['blue', 'red'])\n", + "\n", + "legend_e=[Line2D([0],[0], color=c, marker='o', linestyle='',\n", + " label='Cluster {}'.format(i)) for i,c in enumerate(colors)]\n", + "\n", + "ax[0].scatter(X['alcohol'], y3_pred, color=colors[y3_pred])\n", + "ax[0].legend(handles=legend_e, loc='upper right')\n", + "\n", + "ax[1].scatter(X['malic_acid'], y3_pred, color=colors[y3_pred])\n", + "ax[1].legend(handles=legend_e, loc='upper right');\n", + "\n", + "ax[2].scatter(X['alcalinity_of_ash'], y3_pred, color=colors[y3_pred])\n", + "ax[2].legend(handles=legend_e, loc='upper right');" + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "model=cluster.AgglomerativeClustering(n_clusters=2, linkage='single')\n", + "model.fit(X)\n", + "\n", + "y3_pred=model.labels_\n", + "\n", + "plt.scatter(X['color_intensity'], y3_pred);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 7. Apply a PCA transform and plot the first two principle components with the plot point colors determined by cluster." + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.decomposition import PCA" + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(178, 13)\n" + ] + }, + { + "data": { + "text/plain": [ + "array([9.98091230e-01, 1.73591562e-03, 9.49589576e-05, 5.02173562e-05,\n", + " 1.23636847e-05, 8.46213034e-06, 2.80681456e-06, 1.52308053e-06,\n", + " 1.12783044e-06, 7.21415811e-07, 3.78060267e-07, 2.12013755e-07,\n", + " 8.25392788e-08])" + ] + }, + "execution_count": 80, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pca = PCA()\n", + "\n", + "pca.fit(X)\n", + "\n", + "print(X.shape)\n", + "\n", + "pca.explained_variance_ratio_" + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 7))\n", + "\n", + "plt.plot(np.cumsum(pca.explained_variance_ratio_));" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "metadata": {}, + "outputs": [], + "source": [ + "pca = PCA(n_components=2).fit_transform(X)\n", + "\n", + "pca_df = pd.DataFrame(pca, columns=[f'pc_{i+1}' for i in range(2)])" + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2-D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pca_df.plot.scatter(x='pc_1', y='pc_2');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 8. Generate a series of t-SNE plots showing the clusters at a variety of perplexities." + ] + }, + { + "cell_type": "code", + "execution_count": 91, + "metadata": { + "scrolled": false + }, + "outputs": [], + "source": [ + "from sklearn.manifold import TSNE" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ], + "text/plain": [ + " alcohol malic_acid\n", + "0 14.23 1.71\n", + "1 13.20 1.78\n", + "2 13.16 2.36\n", + "3 14.37 1.95\n", + "4 13.24 2.59\n", + ".. ... ...\n", + "173 13.71 5.65\n", + "174 13.40 3.91\n", + "175 13.27 4.28\n", + "176 13.17 2.59\n", + "177 14.13 4.10\n", + "\n", + "[178 rows x 2 columns]" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X[['alcohol', 'malic_acid']]" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -43,10 +319,44 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 33, "metadata": {}, "outputs": [], - "source": [] + "source": [ + "from sklearn.cluster import KMeans" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.metrics import silhouette_score" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.5392845512253707" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kmeans=KMeans(n_clusters=8)\n", + "clusters=kmeans.fit(X)\n", + "y1_pred = kmeans.predict(X)\n", + "silhouette_score(X, y1_pred)" + ] }, { "cell_type": "markdown", @@ -57,10 +367,26 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 36, "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "data": { + "text/plain": [ + "0.5489993239795691" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kmeans=KMeans(n_clusters=5)\n", + "clusters=kmeans.fit(X)\n", + "y2_pred = kmeans.predict(X)\n", + "silhouette_score(X, y2_pred)" + ] }, { "cell_type": "markdown", @@ -71,10 +397,26 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 37, "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "data": { + "text/plain": [ + "0.5711381937868844" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kmeans=KMeans(n_clusters=3)\n", + "clusters=kmeans.fit(X)\n", + "y2_pred = kmeans.predict(X)\n", + "silhouette_score(X, y2_pred)" + ] }, { "cell_type": "markdown", @@ -89,12 +431,55 @@ "- **calinski_harabaz**: ratio of within to between cluster dispersion" ] }, + { + "cell_type": "raw", + "metadata": {}, + "source": [ + "!pip install yellowbrick" + ] + }, { "cell_type": "code", - "execution_count": null, + "execution_count": 38, "metadata": {}, "outputs": [], - "source": [] + "source": [ + "from yellowbrick.cluster import KElbowVisualizer" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "findfont: Font family ['sans-serif'] not found. Falling back to DejaVu Sans.\n", + "findfont: Font family ['sans-serif'] not found. Falling back to DejaVu Sans.\n", + "findfont: Font family ['sans-serif'] not found. Falling back to DejaVu Sans.\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "model=cluster.KMeans()\n", + "\n", + "visual=KElbowVisualizer(model, k=(1, 15))\n", + "visual.fit(X)\n", + "\n", + "visual.poof();" + ] }, { "cell_type": "markdown", @@ -105,10 +490,56 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 44, "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "data": { + "text/plain": [ + "0.5393938960075034" + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "single=cluster.AgglomerativeClustering(n_clusters=2, linkage='single')\n", + "single.fit(X)\n", + "\n", + "y3_pred=single.labels_\n", + "\n", + "silhouette_score(X, y3_pred) #best result" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\n", + " 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n", + " 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n", + " 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n", + " 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n", + " 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n", + " 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n", + " 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n", + " 0, 0])" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y3_pred" + ] }, { "cell_type": "markdown", @@ -121,10 +552,96 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 67, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Index(['alcohol', 'malic_acid', 'ash', 'alcalinity_of_ash', 'magnesium',\n", + " 'total_phenols', 'flavanoids', 'nonflavanoid_phenols',\n", + " 'proanthocyanins', 'color_intensity', 'hue',\n", + " 'od280/od315_of_diluted_wines', 'proline'],\n", + " dtype='object')" + ] + }, + "execution_count": 67, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X.columns" + ] + }, + { + "cell_type": "code", + "execution_count": 66, "metadata": {}, "outputs": [], - "source": [] + "source": [ + "import matplotlib.pyplot as plt\n", + "from matplotlib.lines import Line2D" + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig,ax = plt.subplots(3, 1, figsize=(15, 8))\n", + "\n", + "colors=np.array(['blue', 'red'])\n", + "\n", + "legend_e=[Line2D([0],[0], color=c, marker='o', linestyle='',\n", + " label='Cluster {}'.format(i)) for i,c in enumerate(colors)]\n", + "\n", + "ax[0].scatter(X['alcohol'], y3_pred, color=colors[y3_pred])\n", + "ax[0].legend(handles=legend_e, loc='upper right')\n", + "\n", + "ax[1].scatter(X['malic_acid'], y3_pred, color=colors[y3_pred])\n", + "ax[1].legend(handles=legend_e, loc='upper right');\n", + "\n", + "ax[2].scatter(X['alcalinity_of_ash'], y3_pred, color=colors[y3_pred])\n", + "ax[2].legend(handles=legend_e, loc='upper right');" + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "model=cluster.AgglomerativeClustering(n_clusters=2, linkage='single')\n", + "model.fit(X)\n", + "\n", + "y3_pred=model.labels_\n", + "\n", + "plt.scatter(X['color_intensity'], y3_pred);" + ] }, { "cell_type": "markdown", @@ -135,10 +652,108 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 79, "metadata": {}, "outputs": [], - "source": [] + "source": [ + "from sklearn.decomposition import PCA" + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(178, 13)\n" + ] + }, + { + "data": { + "text/plain": [ + "array([9.98091230e-01, 1.73591562e-03, 9.49589576e-05, 5.02173562e-05,\n", + " 1.23636847e-05, 8.46213034e-06, 2.80681456e-06, 1.52308053e-06,\n", + " 1.12783044e-06, 7.21415811e-07, 3.78060267e-07, 2.12013755e-07,\n", + " 8.25392788e-08])" + ] + }, + "execution_count": 80, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pca = PCA()\n", + "\n", + "pca.fit(X)\n", + "\n", + "print(X.shape)\n", + "\n", + "pca.explained_variance_ratio_" + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 7))\n", + "\n", + "plt.plot(np.cumsum(pca.explained_variance_ratio_));" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "metadata": {}, + "outputs": [], + "source": [ + "pca = PCA(n_components=2).fit_transform(X)\n", + "\n", + "pca_df = pd.DataFrame(pca, columns=[f'pc_{i+1}' for i in range(2)])" + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2-D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pca_df.plot.scatter(x='pc_1', y='pc_2');" + ] }, { "cell_type": "markdown", @@ -149,11 +764,58 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 91, "metadata": { "scrolled": false }, "outputs": [], + "source": [ + "from sklearn.manifold import TSNE" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(1, 4, figsize=(15, 7))\n", + "\n", + "for i,p in enumerate([5, 10, 20, 30]):\n", + " \n", + " tsne=TSNE(perplexity=p)\n", + " \n", + " x_emb=tsne.fit_transform(X)\n", + " \n", + " ax[i].scatter(x_emb[:,0], x_emb[:,1], c=y)\n", + " ax[i].set_title('Perplexity={}'.format(p))\n", + " \n", + "plt.show();" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [] } ], @@ -173,7 +835,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.2" + "version": "3.8.5" } }, "nbformat": 4, diff --git a/your-code/test2.ipynb b/your-code/test2.ipynb new file mode 100644 index 0000000..956cbd9 --- /dev/null +++ b/your-code/test2.ipynb @@ -0,0 +1,32 @@ +{ + "cells": [ + { + "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": "3.8.5" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +}