{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Machine Learning and Statistics for Physicists" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A significant part of this material is taken from David Kirkby's material for a [UC Irvine](https://uci.edu/) course offered by the [Department of Physics and Astronomy](https://www.physics.uci.edu/).\n", "\n", "Content is maintained on [github](github.com/dkirkby/MachineLearningStatistics) and distributed under a [BSD3 license](https://opensource.org/licenses/BSD-3-Clause).\n", "\n", "[Table of contents](Contents.ipynb)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- Start from the OUTLINE OF THE ML PIPELINE" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load Data" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "a_data = pd.read_hdf('data/cluster_a_data.hf5')\n", "b_data = pd.read_hdf('data/cluster_b_data.hf5')\n", "c_data = pd.read_hdf('data/cluster_c_data.hf5')\n", "d_data = pd.read_hdf('data/cluster_d_data.hf5')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "cluster_3d = pd.read_hdf('data/cluster_3d_data.hf5')" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "cosmo_data = pd.read_hdf('data/cosmo_data.hf5')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## SciKit Learn" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This will be our first time using the [SciKit Learn package](http://scikit-learn.org/stable/). We don't include it in our standard preamble since it contains many modules (sub-packages). Instead, we import each module as we need it. The ones we need now are:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "from sklearn import preprocessing, cluster" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Find Structure in Data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The type of structure we can look for is \"clusters\" of \"nearby\" samples, but the definition of these terms requires some care.\n", "\n", "### Distance between samples\n", "\n", "In the simplest case, all features $x_{ij}$ have the same (possibly dimensionless) units, and the natural distance between samples (rows) $j$ and $k$ is:\n", "$$\n", "d(j, k) = \\sum_{\\text{features}\\,i} (x_{ji} - x_{ki})^2 \\; .\n", "$$\n", "However, what if some columns have different units? For example, what is the distance between:\n", "$$\n", "\\left( 1.2, 0.4~\\text{cm}, 5.2~\\text{kPa}\\right)\n", "$$\n", "and\n", "$$\n", "\\left( 0.7, 0.5~\\text{cm}, 4.9~\\text{kPa}\\right)\n", "$$\n", "ML algorithms are generally unit-agnostic, so will happily combine features with different units but that may not be what you really want.\n", "\n", "One reasonable solution is to normalize each feature with the [sphering transformation](https://en.wikipedia.org/wiki/Whitening_transformation):\n", "$$\n", "x \\rightarrow (x - \\mu) / \\sigma\n", "$$\n", "where $\\mu$, $\\sigma$ are the mean and standard deviation of the original feature values.\n", "\n", "The [sklearn.preprocessing module](http://scikit-learn.org/stable/modules/preprocessing.html) automates this process with:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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omega_bomega_cdmln10^{10}A_sH0
00.0219840.1264102.75407864.660790
10.0211200.1075702.88065765.231402
20.0219200.1209653.03905269.714897
30.0213040.1311442.77262469.520171
40.0219850.1215612.84946363.284940
...............
99950.0214060.1100553.06991467.993275
99960.0220450.1074123.01302563.083467
99970.0215880.1084793.31584665.571640
99980.0225820.1249192.99925465.667611
99990.0207630.1255503.17180173.810086
\n", "

50000 rows × 4 columns

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" ], "text/plain": [ " omega_b omega_cdm ln10^{10}A_s H0\n", "0 0.021984 0.126410 2.754078 64.660790\n", "1 0.021120 0.107570 2.880657 65.231402\n", "2 0.021920 0.120965 3.039052 69.714897\n", "3 0.021304 0.131144 2.772624 69.520171\n", "4 0.021985 0.121561 2.849463 63.284940\n", "... ... ... ... ...\n", "9995 0.021406 0.110055 3.069914 67.993275\n", "9996 0.022045 0.107412 3.013025 63.083467\n", "9997 0.021588 0.108479 3.315846 65.571640\n", "9998 0.022582 0.124919 2.999254 65.667611\n", "9999 0.020763 0.125550 3.171801 73.810086\n", "\n", "[50000 rows x 4 columns]" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cosmo_data" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "cosmo_normed = cosmo_data.copy()\n", "cosmo_normed[cosmo_data.columns] = preprocessing.scale(cosmo_data)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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omega_bomega_cdmln10^{10}A_sH0
count5.000000e+045.000000e+045.000000e+045.000000e+04
mean-1.101341e-174.192202e-171.326299e-151.858922e-15
std1.000010e+001.000010e+001.000010e+001.000010e+00
min-1.735789e+00-1.726691e+00-1.734287e+00-1.725280e+00
25%-8.584267e-01-8.697915e-01-8.654500e-01-8.737388e-01
50%-1.958299e-03-2.131438e-03-3.995583e-035.644049e-03
75%8.617981e-018.679544e-018.704566e-018.736686e-01
max1.731191e+001.732135e+001.726426e+001.717778e+00
\n", "
" ], "text/plain": [ " omega_b omega_cdm ln10^{10}A_s H0\n", "count 5.000000e+04 5.000000e+04 5.000000e+04 5.000000e+04\n", "mean -1.101341e-17 4.192202e-17 1.326299e-15 1.858922e-15\n", "std 1.000010e+00 1.000010e+00 1.000010e+00 1.000010e+00\n", "min -1.735789e+00 -1.726691e+00 -1.734287e+00 -1.725280e+00\n", "25% -8.584267e-01 -8.697915e-01 -8.654500e-01 -8.737388e-01\n", "50% -1.958299e-03 -2.131438e-03 -3.995583e-03 5.644049e-03\n", "75% 8.617981e-01 8.679544e-01 8.704566e-01 8.736686e-01\n", "max 1.731191e+00 1.732135e+00 1.726426e+00 1.717778e+00" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cosmo_normed.describe()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "However, this may discard useful information contained in the relative normalization between features. To normalize only certain columns use, for example:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "cosmo_normed = cosmo_data.copy()\n", "for colname in 'ln10^{10}A_s', 'H0':\n", " cosmo_normed[colname] = preprocessing.scale(cosmo_data[colname])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### What is a \"cluster\"?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the simplest case (a), clusters are well separated by a line (in 2D, or hyperplane in more dimensions) and can be unambiguously identified by looking only at the distance between pairs of samples.\n", "\n", "In practice, clusters might overlap leading to ambiguities (b), or the clusters we expect to find might require considering groups of more than two samples at a time (c), or might have a non-linear separation boundary (d).\n", "\n", "![Cluster Types](cluster_types.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## K-means Clustering" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The [K-means algorithm](https://en.wikipedia.org/wiki/K-means_clustering) is fast and robust, but assumes that your data consists of roughly round clusters of the same size (where the meanings of \"round\" and \"size\" depend on how your data is scaled).\n", "\n", "Let's first look at the first of our example datasets:" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot the data in a_data\n", "plt.scatter(a_data[\"x1\"], a_data[\"x2\"])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's use K-Means on this data and see if it works well.\n", "\n", "Most sklearn algorithms use a similar calling pattern:\n", "```\n", "result = module.ClassName(..args..).fit(data)\n", "```\n", "For the [KMeans algorithm](http://scikit-learn.org/stable/modules/generated/sklearn.cluster.KMeans.html#sklearn.cluster.KMeans):" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [], "source": [ "a_fit = cluster.KMeans(n_clusters=2).fit(a_data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The output of the clustering algoritms is one label (the ID of the cluster) for each datapoint)" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1 1 1 0 1 0 0 1 1 1 1 1 0 0 0 1 1 1 1 0 1 0 1 1 0 1 0 0 1 1 1 0 0 1 0 0 1\n", " 0 1 0 0 1 1 0 1 0 1 1 0 1 0 0 1 0 0 1 1 0 1 1 0 1 0 1 0 0 0 1 1 0 1 0 0 0\n", " 1 0 1 0 1 1 0 0 1 1 0 0 1 1 1 1 0 0 1 0 1 1 0 0 1 0 1 1 0 1 1 0 0 1 1 1 0\n", " 1 0 0 0 0 1 1 1 1 0 1 1 1 0 1 1 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 1 1 1 1 0 0\n", " 0 1 1 0 1 0 0 0 1 0 1 0 0 0 1 1 1 0 1 0 1 1 1 0 0 1 1 0 0 0 0 0 1 1 1 0 1\n", " 0 1 0 0 1 1 0 0 0 0 0 1 1 0 1 1 1 1 0 0 1 1 0 0 0 1 0 1 1 0 0 1 1 1 0 1 0\n", " 0 1 1 0 0 0 1 1 1 1 1 0 0 0 0 1 0 1 0 1 1 0 1 1 1 1 1 0 0 0 1 0 0 0 1 1 0\n", " 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 1 0 1 0 0 0 1 0 1 0 1 1 0 0 0 1 0 1 1 0 1 0\n", " 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 1 0 1 1 1 1 1 1 0 0 1 0 1 0\n", " 0 0 1 1 0 1 0 0 1 0 1 1 0 1 1 1 0 1 0 1 0 1 0 0 0 1 1 1 1 0 1 0 1 1 1 0 0\n", " 1 1 1 0 0 1 1 1 0 1 1 1 1 0 0 1 1 1 0 1 1 0 1 0 1 0 0 1 0 1 0 1 0 0 0 0 0\n", " 1 1 0 0 0 1 0 1 0 1 0 0 0 1 0 0 0 0 1 0 1 0 0 0 0 1 1 1 1 0 1 1 0 0 0 0 0\n", " 1 1 1 0 0 1 0 1 1 1 1 0 0 1 0 0 0 1 0 1 1 1 1 0 1 1 0 0 1 0 0 0 1 0 0 1 1\n", " 1 0 1 1 1 0 1 1 0 1 0 1 1 0 1 0 0 0 0]\n" ] } ], "source": [ "print(a_fit.labels_)" ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [], "source": [ "def display(data, fit):\n", " labels = fit.labels_\n", " \n", " plt.scatter(\n", " data[\"x1\"], data[\"x2\"],\n", " s=5, # set marker size\n", " c=labels, # the colour is given by the labels\n", " cmap=plt.cm.Accent, # set the colour palette\n", " )\n", " \n", " # set plot boundaries\n", " plt.xlim(-9, 9)\n", " plt.ylim(-5, 5)" ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(a_data, a_fit)" ] }, { "cell_type": "markdown", "metadata": { "solution2": "hidden", "solution2_first": true }, "source": [ "**EXERCISE:** Use KMeans to fit the three other (b,c,d) 2D datasets with `n_clusters=2` and generate similar plots. Which fits give the expected results?" ] }, { "cell_type": "code", "execution_count": 74, "metadata": { "solution2": "hidden" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "b_fit = cluster.KMeans(n_clusters=2).fit(b_data)\n", "display(b_data, b_fit)" ] }, { "cell_type": "code", "execution_count": 75, "metadata": { "solution2": "hidden" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "c_fit = cluster.KMeans(n_clusters=2).fit(c_data)\n", "display(c_data, c_fit)" ] }, { "cell_type": "code", "execution_count": 76, "metadata": { "solution2": "hidden" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "d_fit = cluster.KMeans(n_clusters=2).fit(d_data)\n", "display(d_data, d_fit)" ] }, { "cell_type": "markdown", "metadata": { "solution2": "hidden" }, "source": [ "The fit results look reasonable for (b), although the sharp dividing line between the two clusters looks artificial.\n", "\n", "The fit results for (c) and (d) do not match what we expect because KMeans only considers one pair at a time, so cannot identify larger scale patterns that are obvious by eye." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "# Add your solution here..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Hyperparameters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Algorithms have many parameters that influence their results for a given dataset, but these fall into two categories:\n", "- Parameters whose values are determined by the data during the fitting process.\n", "- Parameters which must be externally set.\n", "\n", "We refer the second group as \"hyperparameters\" and set their values during the \"model selection\" process, which we will discuss later." ] }, { "cell_type": "markdown", "metadata": { "solution2": "hidden", "solution2_first": true }, "source": [ "**DISCUSS:** Are all of the arguments of the [KMeans constructor](http://scikit-learn.org/stable/modules/generated/sklearn.cluster.KMeans.html#sklearn.cluster.KMeans) hyperparameters?" ] }, { "cell_type": "markdown", "metadata": { "solution2": "hidden" }, "source": [ "In principle, yes, but in practice some of these arguments will have no (or minimal) impact on the algorithm result under normal conditions. The arguments that are most clearly hyperparameters are:\n", "- `n_clusters`, `algorithm`, `tol`\n", "\n", "The arguments that are most clearly not hyperparameters are:\n", "- `verbose`, `precompute_distances`, `n_jobs`\n", "\n", "The remaining arugments are in the gray area. In general, it is prudent to experiment with your actual data to identify which arguments affect your results significantly." ] }, { "cell_type": "markdown", "metadata": { "solution2": "hidden", "solution2_first": true }, "source": [ "**EXERCISE:** Fit dataset (b) with the `n_clusters` hyperparameter set to 3 and display the results. Comparing with the 2-cluster fit above, by eye, what do think is the \"true\" number of clusters? How might you decide between 2 and 3 more objectively?" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "solution2": "hidden" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "b_fit_3 = cluster.KMeans(n_clusters=3).fit(b_data)\n", "display(b_data, b_fit_3)" ] }, { "cell_type": "markdown", "metadata": { "solution2": "hidden" }, "source": [ "The plot above makes a convincing case (to me, at least) that there are three clusters. However, the \"truth\" in this case is two clusters.\n", "\n", "This illustrates the dangers of superimposing a fit result on your data: it inevitably \"draws your eye\" and makes the fit more credible. Look out for examples of this when reading papers or listening to talks!" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "# Add your solution here..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Clustering in many dimensions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "An algorithm to find clusters in 2D data is just automating what you could already do by eye. However, most clustering algorithms also work well with higher dimensional data, where the clusters might not be visible in any single 2D projection." ] }, { "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": [ "fit_3d = cluster.KMeans(n_clusters=3).fit(cluster_3d)\n", "cluster_3d['label'] = fit_3d.labels_\n", "# FutureWarning from scipy.stats is harmless\n", "sns.pairplot(cluster_3d, vars=('x0', 'x1', 'x2'), hue='label');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These clusters look quite arbitrary in each of the 2D scatter plots. However, they are actually very well separated, as we can see if we rotate the axes:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "R = np.array(\n", " [[ 0.5 , -0.5 , -0.707],\n", " [ 0.707, 0.707, 0. ],\n", " [ 0.5 , -0.5 , 0.707]])\n", "rotated_3d = cluster_3d.copy()\n", "rotated_3d[['x0', 'x1', 'x2']] = cluster_3d[['x0', 'x1', 'x2']].dot(R)\n", "sns.pairplot(rotated_3d, vars=('x0', 'x1', 'x2'), hue='label');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This example is contrived, but the lesson is that clustering algorithms can discover higher-dimensional structure that you might miss with visualization." ] }, { "cell_type": "markdown", "metadata": { "heading_collapsed": true }, "source": [ "## Anatomy of a ML Algorithm" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "Now that we have introduced our first ML algorithm, this is a good time for some general comments." ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "Most ML algorithms have some common features:\n", "- They seek to maximize (or minimize) some goal function $f(\\theta, D)$ of the (fixed) data $D$, for some (unknown) parameters $\\theta$.\n", "- The goal function embodies some model (perhaps only implicitly) of what the data is expected to look like.\n", "\n", "Questions to ask about the goal function:\n", "- Is there a single global optimum by construction? (i.e., is $\\pm f$ a [convex function](https://en.wikipedia.org/wiki/Convex_function)?)\n", "- If not, might there be multiple local optima?\n", "\n", "Questions to ask about how the algorithm optimizes its goal function:\n", "- Is it exact or approximate?\n", "- If it is approximate, is it also iterative? If so, what are the convergence criteria?\n", "- Does the optimization use derivatives of the goal function to speed its convergence? Are these known in advance or how are they calculated?\n", "- How does the algorithm's running time scale with:\n", " - the number of samples in the data?\n", " - the number of features in the data?\n", " - the number of parameters in the model?" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "The goal function of the KMeans algorithm is:\n", "$$\n", "\\sum_{i=1}^n\\, \\sum_{c_j = i}\\, \\left| x_j - \\mu_i\\right|^2\n", "$$\n", "where $c_j = 1$ if sample $j$ is assigned to cluster $i$ or otherwise $c_j = 0$, and\n", "$$\n", "\\mu_i = \\sum_{c_j = i}\\, x_j\n", "$$\n", "is the mean of samples assigned to cluster $i$. The outer sum is over the number of clusters $n$ and $j$ indexes samples. If we consider sample $x_j$ to be a vector, then its elements are the feature values." ] }, { "cell_type": "markdown", "metadata": { "hidden": true, "solution2": "hidden", "solution2_first": true }, "source": [ "**DISCUSS:** What are the parameters of the KMeans goal function? How many parameters are there?" ] }, { "cell_type": "markdown", "metadata": { "hidden": true, "solution2": "hidden" }, "source": [ "The parameters are the binary values $c_j$ and there is one per sample (row). Note that the number of parameters is independent of the number of features (columns) in the data.\n", "\n", "The number of clusters $n$ is a hyperparameter since it is externally set and not adjusted by the algorithm in response to the data.\n", "\n", "The means $\\mu_i$ are not independent parameters since their values are fixed by the $c_j$ (given the data)." ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "### Supervised vs Unsupervised" ] }, { "cell_type": "markdown", "metadata": { "hidden": true }, "source": [ "ML algorithms come in two flavors, depending on whether they require some training data where you already know the answer (\"supervised\") or not (\"unsupervised\"). Clustering algorithms are unsupervised.\n", "\n", "An advantage of unsupervised ML is that it works with any input data, and can discover patterns that you might not already know about (as in the 3D example above). Even when you have training data available, an unsupervised algorithm can still be useful.\n", "\n", "The disadvantage of unsupervised learning is that we cannot formulate objective measures for how well an algorithm is performing, so the results are always somewhat subjective." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Other Clustering Methods" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have focused on KMeans as a prototypical clustering algorithm, but there are [many others to chose from](http://scikit-learn.org/stable/auto_examples/cluster/plot_cluster_comparison.html).\n", "\n", "We will finish this section with some brief experimentation with two alternatives that use more global information than KMeans, so are better suited to examples (c) and (d) above:\n", "- Spectral clustering: [sklearn](http://scikit-learn.org/stable/modules/generated/sklearn.cluster.SpectralClustering.html), [wikipedia](https://en.wikipedia.org/wiki/Spectral_clustering).\n", "- Density-based spatial clustering of applications with noise (DBSCAN): [sklearn](http://scikit-learn.org/stable/modules/clustering.html#spectral-clustering), [wikipedia](https://en.wikipedia.org/wiki/DBSCAN).\n", "\n", "Here is a visualization (taken from the sklearn documentation) of the many clustering algorithms available in `sklearn.cluster` and their behaviour on some stereotyped datasets:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![Image from sklearn](https://scikit-learn.org/stable/_images/sphx_glr_plot_cluster_comparison_0011.png)\n", "*Image from sklearn documentation*" ] }, { "cell_type": "markdown", "metadata": { "solution2": "hidden", "solution2_first": true }, "source": [ "**EXERCISE:** Use `cluster.SpectralClustering` to fit `c_data` and `d_data` and display the results. Adjust the default hyperparameters, if necessary, to obtain the expected results." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "solution2": "hidden" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "c_fit = cluster.SpectralClustering(n_clusters=2).fit(c_data)\n", "display(c_data, c_fit)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "solution2": "hidden" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "d_fit = cluster.SpectralClustering(n_clusters=2, gamma=2.0).fit(d_data)\n", "display(d_data, d_fit)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "# Add your solution here..." ] }, { "cell_type": "markdown", "metadata": { "solution2": "hidden", "solution2_first": true }, "source": [ "**EXERCISE:** Use `cluster.DBSCAN` to fit `c_data` and `d_data` and display the results. Adjust the default hyperparameters, if necessary, to obtain the expected results." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "scrolled": true, "solution2": "hidden" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "c_fit = cluster.DBSCAN(eps=1.5).fit(c_data)\n", "display(c_data, c_fit)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "solution2": "hidden" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "d_fit = cluster.DBSCAN().fit(d_data)\n", "display(d_data, d_fit)" ] } ], "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": "3.8.2" } }, "nbformat": 4, "nbformat_minor": 4 }