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raymondyaaa/quotation1/lecture_notes/lab7/Lab_Clustering_Preprocessing_solutions.ipynb
2025-02-01 02:04:47 +08:00

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "w-1iHF9NOTuV"
},
"source": [
"# Week 7 lab: Clustering plus pre-processing"
]
},
{
"cell_type": "markdown",
"source": [
"This lab has two parts. Part 1 is about the k-means clustering algorithm, and Part 2 is about pre-processing."
],
"metadata": {
"id": "MWUXCn1dOsh7"
}
},
{
"cell_type": "markdown",
"metadata": {
"id": "A-IrgNlLOTuZ"
},
"source": [
"## Part 1: Clustering with the k-means algorithm"
]
},
{
"cell_type": "markdown",
"source": [
"As you will remember from lectures, the k-means algorithm is a clustering technique. Given unlabelled data, it tries to find meaningful groupings (clusters) of the data. In this exercise, you will generate data and experiment with the algorithm using various values of k (remember that in the absence of information, we do not know what the best value of k is).\n",
"\n",
"You should use the function *KMeans* in **sklearn.cluster** https://scikit-learn.org/stable/modules/generated/sklearn.cluster.KMeans.html\n",
"\n",
"For your reference, here is an excellent tutorial on k-means and Python:\n",
"\n",
"https://jakevdp.github.io/PythonDataScienceHandbook/05.11-k-means.html"
],
"metadata": {
"id": "SbLKi3hMOnqW"
}
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "rIjTf6jcOTua"
},
"outputs": [],
"source": [
"from sklearn.cluster import KMeans\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "nOK8eTeoOTub"
},
"source": [
"**Q1.** Let's generate 100 random values from a 2-d multivariate normal distribution. This is a distribution with just one peak - in other words, we will assume all data are from the same class.\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 447
},
"id": "sO6Lc6-pOTuc",
"outputId": "946291ef-2427-4c62-efc4-fe4ab2964744"
},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7cf7624f9d20>"
]
},
"metadata": {},
"execution_count": 2
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
],
"source": [
"nbpts1 = 100\n",
"mu1 = [0,0] # the mean of the first cluster (this is a vector as we are in 2D)\n",
"sigma1 = [[1,0],[0,1]] # the covariance matrix of the first cluster -- this one is not correlated\n",
"data = np.random.multivariate_normal(mu1,sigma1,nbpts1)\n",
"plt.scatter(data[:,0],data[:,1])"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "-QX1AKFsOTud"
},
"source": [
"Apply k-means with k taking values from 5 to 1. For each k, plot the final clustering to see what has happened. Plot the centroids too. Which value of k is best? Does that make sense?"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
},
"id": "jcmLvkKSOTud",
"outputId": "5df2ece8-6680-49ef-f8cf-bf19fff1b558"
},
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": [
"/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n",
" warnings.warn(\n",
"/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n",
" warnings.warn(\n",
"/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n",
" warnings.warn(\n",
"/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n",
" warnings.warn(\n",
"/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n",
" warnings.warn(\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
],
"source": [
"for k in np.arange(5,0,-1):\n",
"\n",
" kmeans = KMeans(n_clusters=k, random_state=0).fit(data) # Fit KMeans model with k cluster\n",
" idx = kmeans.predict(data) # Predict class membership\n",
" plt.figure(k)\n",
" plt.scatter(data[:, 0], data[:,1], c=idx, s=50, cmap='viridis')\n",
" C = kmeans.cluster_centers_\n",
" plt.scatter(C[:, 0], C[:,1], c='black', s=200, alpha=0.5); # Plotting centroids\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "ZCXDYdw8OTue"
},
"source": [
"There is only one class here, but if we did have to divide the data up into more than one class, the algorithm seems to more-or-less be achieving a good solution."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "vgmssmw7OTue"
},
"source": [
"**Q2.** Generate 200 random values from a bimodal distribution i.e., a distribution with two peaks. These data should be thought of as coming from two classes that are not exactly overlapping. The simplest way to do this is simply to generate N (with N between 1 and 200) data points from a first multivariate normal distribution and then generate (200-N) data points from another unimodal distribution (with different mean and standard deviations from the first - how different is for you to decide). You can also refer back to lab 5. Again, apply k-means with k taking values from 5 to 1. Plot the final clustering to see what happened. Which value of k is best? Does that make sense?"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 447
},
"id": "k8FaWcPROTuf",
"outputId": "3a443756-66f3-40ff-aa8d-7f137f214071"
},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7cf75df70d90>"
]
},
"metadata": {},
"execution_count": 4
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
],
"source": [
"nbpts1 = 100 # Number of points in first cluster (vary to explore effect of number of points)\n",
"mu1 = [-2,4] # the mean of the first cluster (this is a vector as we are in 2D) -- move it around\n",
"sigma1 = [[0.5,0],[0,0.9]] # the covariance matrix of the first cluster -- this one is not correlated\n",
"data1 = np.random.multivariate_normal(mu1,sigma1,nbpts1) #\n",
"\n",
"nbpts2 = 100 # Number of points in second cluster (vary to explore effect of number of points)\n",
"mu2 = [1,-3] # the mean of the second cluster (this is a vector as we are in 2D) -- move it around\n",
"sigma2 = [[1.2,0.2],[0.2,2.3]] # the covariance matrix of the second cluster -- this one is correlated\n",
"data2 = np.random.multivariate_normal(mu2,sigma2,nbpts2) #\n",
"\n",
"data = np.concatenate((data1,data2),axis=0) # Concatenate the data by row\n",
"plt.scatter(data[:,0],data[:,1])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
},
"id": "gvoFmymLOTuf",
"outputId": "2b1fd2df-d575-450d-83dd-5d43a87720f7"
},
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": [
"/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n",
" warnings.warn(\n",
"/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n",
" warnings.warn(\n",
"/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n",
" warnings.warn(\n",
"/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n",
" warnings.warn(\n",
"/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n",
" warnings.warn(\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
],
"source": [
"for k in np.arange(5,0,-1):\n",
"\n",
" kmeans = KMeans(n_clusters=k, random_state=0).fit(data) # Fit KMeans model with k cluster\n",
" idx = kmeans.predict(data) # Predict class membership\n",
" plt.figure(k)\n",
" plt.scatter(data[:, 0], data[:,1], c=idx, s=50, cmap='viridis')\n",
" C = kmeans.cluster_centers_\n",
" plt.scatter(C[:, 0], C[:,1], c='black', s=200, alpha=0.5); # Plotting centroids\n",
"\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "H0tM_GagOTug"
},
"source": [
"# Part 2: Pre-processing"
]
},
{
"cell_type": "markdown",
"source": [
"The second part of the lab contains a brief demo of normalisation, followed by an exercise on PCA. There are then a couple of optional extension exercises, including one that combines PCA and clustering.\n",
"\n",
"For your reference, here is a link to resources on pre-processing data using **sklearn**:\n",
"\n",
"https://scikit-learn.org/stable/modules/preprocessing.html\n",
"\n",
"And here is a good resource on PCA:\n",
"\n",
"https://jakevdp.github.io/PythonDataScienceHandbook/05.09-principal-component-analysis.html"
],
"metadata": {
"id": "JkRb250dQ7I8"
}
},
{
"cell_type": "markdown",
"metadata": {
"id": "DtZvFBV3OTug"
},
"source": [
"## Simple normalisation"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "cPWaKlZ0OTug"
},
"source": [
"Let's generate another set of basic Gaussian data."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 447
},
"id": "seg_j-gYOTug",
"outputId": "62a59cad-adad-4184-e0c7-39dccef2e62f"
},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7cf75def4700>"
]
},
"metadata": {},
"execution_count": 6
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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94cOH1dnZqeHDh4c9Pnz4cL3//vsR/0ZVVZUqKyvtHjrgOum8dJFqoQmiezGzj2LmtOG2gD/TM2O2Byy33XZb1/++6KKLdPHFF2vUqFF68803df3119vyNxYtWqSKioqu+36/X0VFRba8N+Am6b50kWqZPkGkOzcG/KHMWCZyvA/Leeedp7POOkv79u2L+PxZZ52l7OxstbS0hD3e0tIStQ4mJydH+fn5YTcgE2XC0kWqsXSSvihmdRfHA5aDBw/qyJEjKiiInD4dMGCAJk6cqM2bN3c9FggEtHnzZpWWljo9PMD1WNsG4kPA7y6Wl4SOHTsWli1pbGxUXV2dBg8erMGDB6uyslK33HKLfD6fGhoa9O1vf1vnn3++pk+f3vWa66+/XnPmzNHChQslSRUVFZo7d64uu+wyTZo0SUuXLlV7e3vXriEAvWPpAogPtUruYTlg2bFjh6699tqu+6Fakrlz52rZsmX685//rBdeeEGtra0qLCzUDTfcoMcee0w5OTldr2loaNDhw4e77t96663629/+pkcffVTNzc2aMGGCqqurexTiAoguk9e2gUQQ8LuDJxgMur6jlN/vl9frVVtbG/UsADJeX23mnWxDb3KLe5jHyvzNWUIAbMFE5bxYvuO+zpVy8twpzrSCk8iwAEgYE5XzYvmOQ23mu/+jHgppvvnlYj33VmPU5xMp0u7rb1MAjkiszN+O7xICkN7ccBaL28XyHffVZj4oacUfegYroeel+M+d4kwrJAMBC4C4MVE5L9bvuPaDI722mZek3v4zJNKG3k0t7uFeBCwA4sZE5bxYv+OahuhntlkRTxt6t7W4hzsRsACIGxOV82L/7uzJYsXTht6NLe7hPgQsAOKWrImqMxBUTcMRvVL3sWoajmTUElOs313peWf12mZekrI8PTu6hiTShp4W90gGAhYAcUvGRFVd36SpT2xR+Ypa3b+2TuUrajX1iS0ZU8wb63c8ZdSQXtvMeyTNu6o46vNS/G3oaXGPZCBgARA3pycqdiBZ+477Oldq0b+UOHbuFGdawWn0YQGQMCf6sHQGgpr6xJaoBacenZoM3374uoz45W7lO6bTLdzCyvxNwALAFnZPVDUNR1S+orbP616cN0WTigdnxCRJMIB0Q2t+AEln9+GLse6O2bi7WRW/qktal93Tg4azvpgjBaXD7R1JCSA44BKZjIAFgJFi3R3z/B8/7PFYqMbF7tqJSMsyp0uX4wjI5MBEBCwAjBTaHdPcdjxqh5EsT+TurUGdqnGp3LBb00p8tky20c7KOZ1TgVIycS4UTMUuIQBGimV3jFOt5rv3fTnxz0DU9vjd/6bk3uMI2JUFk5FhAWCs0FbZ7r/4fd5c/cs4n34RYTmoO6tddiNlGAYP7K+j7Sdjev3pgZKb6k36OrPI7owVYBUBCwCjzRhXoGklvh41Fdsbj8YUsFjpshtt2SfWYOV0bjuOwMq5UG4KxJA+CFgAGC/S7pi+alxCfVpi7bLbW4YhHm47N4dzoWA6algAuJLdXXb7yjDEyq3n5nCAIUxHwALAtexsB29H5sDN5+a49QDDTD4YM9OwJATA1aLVuFgNGGLNHAweOEBH209EfM7n4u2/oYzV/NW75JHClsZMDcTYgp1ZaM0PICGJNhkzpUlZ6Oyivmpitv6/12rnR5+mpNNtMrglCIhWIB369t3cCyeTcJYQgKRIdHIzbXIMTYJS5AxDpkyCpgSR0XAwZvqwMn9TwwIgLok2GTOxSZmdNTFuFtqVddOEs1U6aohxk76VLdhIH9SwALAs0SZjJjcps6smpjemZzBMxxbszETAAsCyRJuMmd6kzMlTkU1bBnMjtmBnJpaEAFhm5RdupG2nmfoL2cRlMDdy6xZsJIYMCwDLYv3l+uHh9h7FkQXeXN12+Qhb/44bmLwM5jZu3IKNxJFhAWBZLL9wz/xCfz29aW/EbMLSTX/VoC/0z6hfyBSK2osC6cxDhgWAZbH8wo3WLyGUTfCc9r8z4Rdypi6DOSkZBdIwBxkWAHHp7RfuA2UXqPXv0U84Dkr69O8n9WDZlzLmFzKFos4wfQs27GM5w/LWW2/pySef1M6dO9XU1KR169Zp9uzZkqSTJ0/qu9/9rn7729/qgw8+kNfrVVlZmR5//HEVFhZGfc8lS5aosrIy7LHRo0fr/ffftzo8AEkU7Rfua3/+JKbXn3vWQL398HUZ8QvZ7tOlgUxjOWBpb2/X+PHjdc899+jmm28Oe+7vf/+7du3ape9973saP368Pv30U91///36yle+oh07dvT6vmPHjtWmTZs+H1g/VqsAN4i0BdhKNsHJLcQmoVAUSIzlqGDmzJmaOXNmxOe8Xq82btwY9tgzzzyjSZMmaf/+/RoxIvrOgH79+snn81kdDgADkU2ILLSM1r0Pi5sPTQSSxfE0RltbmzwejwYNGtTrdXv37lVhYaFyc3NVWlqqqqqqXgMcAOYimxBd92W0swbmSB7p8LEO1TQcSdslMSBRjgYsx48f18MPP6zy8vJeDzWaPHmyVq1apdGjR6upqUmVlZW66qqrVF9fr7y8vB7Xd3R0qKOjo+u+3+93ZPwA4kc2IbrQMlh1fZMe+vX/0PUWiEFCpzV7PJ6wotvTnTx5UrfccosOHjyoN99809Ipyq2trRo5cqSeeuop3XvvvT2ej1SkK4nTmgEDOX1ujlvP5Ql1ve3+D3CmnQyNzGbltGZHMiwnT57U17/+dX300UfasmWL5SBi0KBBuuCCC7Rv376Izy9atEgVFRVd9/1+v4qKihIaM5Bqbp14+8K5PD3R9RawzvaAJRSs7N27V2+88YaGDLH+D9WxY8fU0NCgb3zjGxGfz8nJUU5OTqJDBYzh1ok3laJlKELn8picoTD98EfARJYbxx07dkx1dXWqq6uTJDU2Nqqurk779+/XyZMn9dWvflU7duzQL3/5S3V2dqq5uVnNzc06ceJE13tcf/31euaZZ7ruP/TQQ9q6das+/PBDbdu2TXPmzFF2drbKy8sT/4SA4TgQz7q+MhTSqQxFZyDuFW9H0fUWsM5yhmXHjh269tpru+6Hlmbmzp2rJUuW6NVXX5UkTZgwIex1b7zxhq655hpJUkNDgw4fPtz13MGDB1VeXq4jR45o6NChmjp1qmprazV06FCrwwNchaWB+Lg9Q0HXW8A6ywHLNddco97qdGOp4f3www/D7q9du9bqMIC04PaJN1USyVCYUCvkVJ8aEz4b4BTayQIp5MalARMmxXgzFInWCtn12Z3oU0MdFNIdAQuQQm5bGjBlUownQ5Foka7dwc60Ep9tfWrcXIAMxCqhPiymsLKPGzBJZyCoqU9s6XPiffvh61Ke2jetb0hoPFLkDMXp4wl9z9GW3/r6nq189khZmI27m6MGO5EOj7Ty3zrRzwakUsr7sACIjVta2JtYHGylk24itUJWPnukwGTQF/qr9e8ne7zWruwHdVDIFAQsQIq5oYW9qZNi6Fye2oYjqvngsKRTTeqmnBc+hkRqhWL97M9s2aulm/b2CGwiBSuh19kR6LmxDgqIBwELYIDuB+KZtsPD5Emxe1bjmTf29agtSaRWKNbPtPKPH0bMwvTGjkDPyTooEwqsgRACFsAQTrawT5SpxcGxFpv2VaQrSYMH9lez/3iPE5Nj/Uyt/4icSYlFsz/+QM+pLdKmFFgDIZY73QLIPKFJsbff1oO+0N/ypJgIK91us7M8+t6NJb1mQI62n9SDL9WpfEWtpj6xpavDcF+f3aNTnz0Rj732l7g7GofqoEJj6T42Kb4t0nRfhmkIWAD0KTQp9jbht/79pDbubk7amKzU1VTXN+mx13fH/N6nT8yxBAR3X1FsbfDdHG0/mVAgEKqD8nnDs0E+b67lol63H3uA9MWSEICYTCvxRd3xIiV/p1CstSUbdzdbri/pXhDbV2H0tBKf1r67v9clp1gk8v3ZVQdlaoE1QMACICbbG49GDVak5E9kHx5uj+m69XWfxBVEdP88fQUEvW1PD0r6Yk4/Hev4Z8x/Lx521EGZXGCNzEbAAvSCXRKfM2ki6wwE9fwfG/u8bvDA/jrafqLP63pz+ufpLSDoKwvzjxOdevBX/2Pp76WCqQXWAAELEAW7JMKZNJHVfnBEbf+Inq0ImXTuEFX/JbG6Giufp7csTE3DEdv+npOBtFO7joBEEbAAEXA2S09OT2RWJuFYJ//c/vHvK4j380TLwtj1/TkdSLul+zIyD7uEgG7YJRGZE9tnQ6rrmzT1iS0qX1Gr+9f23FrcU2zffeGg3D63Y/fGzonZju/P6e3GnYGgahqOqOOfAT1QdoGG5/fcdfRA2QXq+GdANQ1HMu7/B5BaHH4IdFPTcETlK2r7vO7FeVMycpeE3b/w4zlU8Y97D+v2X7zT53v/8t7J+qzjZMRDEnszZOAA/XDOOEeyaPF+f04fchhpXL78HJVPGqFzzxqoDw+368Xt+9Xs77A0bqA3HH4IJMCk4lIT2XmMQLyHKk4ZNaTXLdbSqWZuU0YNUXaWJ2IxbDSDB/ZXzaLrNaCfMwnoeL8/J7cbRwsaW/wdWrppr7755WI991YjS6RIKQIWoBuTiktNZdcxAvFOwtlZHj1+80X6P/+bOYnk8Zsv6goCTg8SNu1u1i/++GGP60Phwo/mXORYsBISz/fnVCAdyxLoij/0DFZCz6fipG5kJmpYgG5iacVewC4JWyQyCc8YV6Dld1wqX35O2OO+/Bwtj/CLPxQkfG/WWC2/41IV2NAVNpmcCqT7CholqbdSldODSsBJZFiAbtglkTyJTsLxLq+Yfjp2JJ+2n1CWJ3rwEO+uJruWNjN1iRTJQ8ACRNBXEzBTf4W7jR1bfeNdnjL5dOzuquubtGBNzxqT7uIJpO1a2szkJVIkBwELEIXbfoWb3JU32tjIZvWttxqTkCyP9Ez5JXEF0n0FjaH3DwYj77KikRyShYAF6IVbfoWb3JW3r7GRzepdrDUmZw7M6fWaaGIJGudddWqXEEElUomABXA5k7vyVtc3RdzJ031sdmSzTM4wJSIZ2+xjCRovGXEmQSVSioAFcLF4+5gka2yP/Oa9iM9FGlsomxUKPF778ycxBx4mZ5gSlaxt9n0FjW5bIkX6IWABXMzJZmKJembLvl4bu0UaWzyBh8kZJjsk8zDCvpZA3bJEivREHxbAxUztytsZCGrlHxtjujY0tnjOyXHy3KfQuTqv1H2c0nNznDzDCXATMiyAi5nalXd741G1/iN6duV0w/Jy417acirDlKolpmh1OBQmAwQsgKslc7nAilgzOoPO6K9JxYPjDjycyDClaokplt1U1JAgk7EkBLiYqcsFsWZ07r7yXGVneeIOPOzOMCW6xBTvMlKsy2GhGpKbJpyt0v892BHIFGRYAJdL5XJBtCWMWJqRnfmF/lp43ZckxR942J1hSmSJKd5lJJN3egEmIWAB0kAqlgv6mqCjNSOTTk3CVaedphxv4GF3p9x4Mz2JLCOZvNMLMInlJaG33npLs2bNUmFhoTwej9avXx/2fDAY1KOPPqqCggKdccYZKisr0969e/t832effVbnnnuucnNzNXnyZG3fvt3q0ICMlszlgliWMEKZH1+3U5ELIpyKnMjSVrS/E8/py/FkehJdRjJ1pxdgGssZlvb2do0fP1733HOPbr755h7P//jHP9bPfvYzvfDCCyouLtb3vvc9TZ8+Xbt371ZubuR/DF566SVVVFRo+fLlmjx5spYuXarp06drz549GjZsmPVPBcAxVpYwrGR+ElnasivDNKl4sHz5OWr2d0R8PlKmJ9EMiak7vQDTWA5YZs6cqZkzZ0Z8LhgMaunSpfrud7+rm266SZL03//93xo+fLjWr1+v2267LeLrnnrqKc2bN0933323JGn58uV6/fXX9fzzz+uRRx6xOkQADrI6QVtpNpZI4GFHU7ONu5t1/J+BiM9Fy/QkmiExdacXYBpbdwk1NjaqublZZWVlXY95vV5NnjxZNTU1EV9z4sQJ7dy5M+w1WVlZKisri/qajo4O+f3+sBuA5HB6CSNVO2FCy1zRuvN6v9A/4hJTohkSU3d6AaaxNWBpbm6WJA0fPjzs8eHDh3c9193hw4fV2dlp6TVVVVXyer1dt6KiIhtGDyAW6biE0RkIasmrkZe5Qs7on61pJb4ej4cyJNHCCY9O1e30liGxsw4HSFeu3CW0aNEiVVRUdN33+/0ELYBDum9dnjjyzD63LGd5pE/bTyR1nIl4ZsteNft7zwhFq0Oxa6cSjeGA3tkasPh8p359tLS0qKDg818ELS0tmjBhQsTXnHXWWcrOzlZLS0vY4y0tLV3v111OTo5ycnLsGTSAqKJtXf7K+AI991b0s4ICQWnBml1almV+dqC6vklPb+p7J6MUfZnLrl44HC4IRGfrklBxcbF8Pp82b97c9Zjf79c777yj0tLSiK8ZMGCAJk6cGPaaQCCgzZs3R30NAOf1tnX5ubcadd9Vxerrx3+8Bw8mS2jHU6x6W+aaMa5Abz98nV6cN0U/vW2CXpw3RW8/fJ3xARvgFpYzLMeOHdO+ffu67jc2Nqqurk6DBw/WiBEj9MADD+gHP/iBvvSlL3Vtay4sLNTs2bO7XnP99ddrzpw5WrhwoSSpoqJCc+fO1WWXXaZJkyZp6dKlam9v79o1BCC5Ytm6/JtdH6u3WMQNDc/62vF0ur7qUCQyJICTLAcsO3bs0LXXXtt1P1RLMnfuXK1atUrf/va31d7erm9+85tqbW3V1KlTVV1dHdaDpaGhQYcPH+66f+utt+pvf/ubHn30UTU3N2vChAmqrq7uUYgLIDli2bp8JMYaFZMbnlkZGzt1gNTyBINBc/O1MfL7/fJ6vWpra1N+fn6qhwO43it1H+v+tXW2vNeL86YYm3WoaTii8hW1fV73YNkFur/sS0kYEZBZrMzfrtwlBOBz0Q4gTESsW5IHD+yvT9tPurbhWSyHNPryc7TwuvOTOi4APRGwAC4W7wnBfYm1++r3brxQC9b8yZaDB1Mhli3JS74y1ujPAGQKW3cJAUieWA4gjFes3Vf/5eJC1zc8S1bTts5AUDUNR/RK3ceqaThi9O4pwETUsAAu1BkIauoTW6IWxoYyIG8/fF1C2YFYMzhOLEvFyq6/7eRncCoTBridlfmbgAVwoViLRe0oeE1lMNIXNwQCoUxY939oQ9+gWzJRgBOszN8sCQEu5PQBhKdL1WGEfXFyScwuffWzkcxvrgeYgoAFcKF0PIDQCrcEArH0swk11wPQOwIWwIXsOCHYzdwSCCQzEwakOwIWwIVi3cVjyvKNZO8uGbcEApmeCQPsRB8WwKXsOiE4GewujnVLIBBrP5t0zYQBdiJgAXph8g4Z6VTQMq3EZ/QYo+2SCRXHxrNLxi2BQCyN6UzLhAGmYlszEIUbtsyazsl+MaFASIocCJi0XZj/WwIiow8LkKBU9c4wPaNjldP9YtwUCKTbf1vADhx+CMSpMxBUbcMRPfL/vRd1y6xHp7bMTivx2TrhuGnyjZXTxbFuWBILCfWzARAfAhbgf0UKGCI5fcusXROQE3UeJkhGcSyBAJAZ2NYMKHrX1N7YtWXWLU3Q4pHp/WIA2IeABRmvt4ChN3ZtmY21CdqqPza67qRfN/aLAWAmloSQ8foKGLqze8tsrJmax17/v13/27Talt4KSt3ULwaAuQhYkPGsLO04kRWIJ1NjUm1LLMXCbiqOBWAmloSQ8awEDD5vru1BQl91HpGYUtti5cRkU099BuAOBCzIeLEEDIPO6K9f3jdZbz98ne0ZjdPrPKxI9QF/6VwsDMA8BCzIeH0VhnokPX7LRbry/LMcywrMGFegb365OK7XpuqAP7ecmAwgPRCwAPq8MNTnDV8esroEFO+JxJ2BoF79n6a+L4wgVQf8ueXEZADpgaJbJCxdWo4nWhiaSKdaqzuVpNQf8OeWE5MBpAcCFiQk3drJx9s1NdFOtVazECb0MHHLickA0gNLQoiblR0i6cyO4lOrWQgnditZ1VftT1DSbZcX6bU/f+KqZncAzESGBXHpa5J26oBAE1kpPo2WvekrWyFJgwf21/f+dax8+eYsu0VrCuf9Qn9J0tOb9nY95ubMG4DUI2BBXOyYpNOFHcWnoWzF/NW7urITIaGw5EdzLrJlsre75qh77c+Hh/+upZv+mnYHOQJILQIWxIUdIp+zq/g0GS3snao5CtX+dAaCmvrEFjJvAGxHwIK4sEPkc3YWnzrZwj7RwuBYkHkD4BSKbhGXvrrDenTql7uTO0Ti7XliN7tPJHaihX2yutKSeQPgFDIsiEssNRdObrk1bTu16ScSJyvzQeYNgFNsz7Cce+658ng8PW4LFiyIeP2qVat6XJubyz9mbmBXd1irTN1OPWNcgd5++Dq9OG+KfnrbBL04b4ojZw/FI1mZDxMybwDSk+0ZlnfffVednZ1d9+vr6zVt2jR97Wtfi/qa/Px87dmzp+u+x0Mxnls4WXMRicnbqU3u+JuszEeqM28A0pftAcvQoUPD7j/++OMaNWqUrr766qiv8Xg88vl8dg8FSRJvd9h4mFrUadoSVXfJ7Epr+vIYAHdytIblxIkTWr16tSoqKnrNmhw7dkwjR45UIBDQpZdeqh/96EcaO3Zs1Os7OjrU0dHRdd/v99s6bpjLxKLOZOy+SVSyMx/JzrwBSH+O7hJav369Wltbddddd0W9ZvTo0Xr++ef1yiuvaPXq1QoEArriiit08ODBqK+pqqqS1+vtuhUVFTkwepjItKLOZO2+sYOVmiM7dmAlutvJlF1gAMzgCQaDjv0rMH36dA0YMEAbNmyI+TUnT57UhRdeqPLycj322GMRr4mUYSkqKlJbW5vy8/MTHjeck2idR6gxWV9LG28/fF1Sfs3XNBxR+YraPq97cd4UY/qO9PXfwITlLRPGAMB5fr9fXq83pvnbsSWhjz76SJs2bdJvfvMbS6/r37+/LrnkEu3bty/qNTk5OcrJyUl0iEgyOyYh04o6TVyi6ktvNUcmLG+ZMAYA5nFsSWjlypUaNmyYbrzxRkuv6+zs1HvvvaeCAv5BSid2bkVO1XbqSExbokqECctbJowBgJkcybAEAgGtXLlSc+fOVb9+4X/izjvv1Nlnn62qqipJ0ve//31NmTJF559/vlpbW/Xkk0/qo48+0n333efE0JBEoaWHZv9xPfbaX2zdimxKUWcyd984zYQdWMkeg8lb0QGEcyRg2bRpk/bv36977rmnx3P79+9XVtbniZ1PP/1U8+bNU3Nzs84880xNnDhR27ZtU0lJiRNDQ5JEWv6JJt5JKJnbqXsbg0lLVIkwYXkrmWOgTgZwF0cClhtuuEHRannffPPNsPtPP/20nn76aSeGgRSJVoPQF5PqPKxIl74jJixvJWsM1MkA7sNZQrBVbzUIfXFDnUc0pixRJcKE5a1kjMHkbskAouO0ZtiqrxqESNLlfBknTllOJrtPnTZlDN37udR+cCTmOhkA5iDDAltZXdZxW51HsqSqGNSE5S07xxCpTmXQGf1jeq1blyiBdEXAAltZXdZxW51HMqS6GNSE5S07xhCtTqX1Hydjer2blyiBdETAAlvFUoMweOAAfffGC+XznuG6Og+nmVIMasoOrHjHkEgtlZu2ogOZhBoW2CqWGoQfzhmnOZee02udRyaeI0PTNPvEU0slsUQJmIwMC2yXaA1CqpdEUsWExm3pItb6k0Fn9A9bImKJEjAXAQscEW8NgilLIqlgQuO2dBFr/cmz/8+lysryuHYrOpBJCFjgGKs1CJneH8OExm3pItZ+LlNcuP0cyFTUsMAYVpZE0lFoko02faZLv5pkMKGnDAB7EbDAGJm+JMIkay+TTvUGkDiWhGAMlkTMaNyWTkzoKQPAHgQsMIYJZ9mYgEnWXib0lAGQOAIWGCO0JDJ/9S55pLCgJdOWRJhkASAcNSwwCnUH1mVikz0AmYcMC4wTy5KI1cMBU3WYYDysjDVTm+wByDyeYDDo+p9jfr9fXq9XbW1tys/PT/Vw4DCrk7SbJnUrY43WZC8U2piQkXJToAgg+azM3wQscBWrk7QbJvUQK2PtDAQ19YktUfvWhAqU3374upQFCG4KFAGkhpX5mxoWuIbVwwHddJig1bGa3mQvFHx1H2PoiIXq+qaUjAuAexGwwDWsTtKmT+qnszpWk5vsuSlQBOAeBCxwDauTtMmTerxjCF1ncpM9NwWKANyDgAWuYXWSNnlSj3cMoetMPnfITYEiAPcgYIFrWJ2kY7nel5+jQDCY8h4mVj+byecOuSlQBOAeBCxwDauTdF/XByUd/2dAt//XO7p/bZ3KV9Rq6hNbUlIQGk8AYmqTPZOzPwDci23NcB07+rAM+kJ/tf79ZI9rU73dOZ6twCb2OgntEpIiH7Hg9Pdr4ncCoCf6sCDtJdLp9qyBOfr3l/9HzX4ze5iky2Sbqj4s9H8B3IOABehFTcMRla+o7fO6F+dN4QDCBCU7+HJTo0AA1uZvzhKCa9g1+bGLJXmSeep0X/1fPDrV/2Vaic+VGSsg0xGwwBXsTPOziyU9Wen/QuYMcB92CcF4drd5ZxdLeiJzBqQ3AhYYzYk27yb3MEH8yJwB6Y2ABUZzqs27qT1MED8yZ0B6sz1gWbJkiTweT9htzJgxvb7m5Zdf1pgxY5Sbm6uLLrpIv/3tb+0eFlzKyTT/jHEFevvh6/TivCn66W0T9OK8KXr74esIVmLQGQiqpuFIyjsEn47MGZDeHCm6HTt2rDZt2vT5H+kX/c9s27ZN5eXlqqqq0r/+679qzZo1mj17tnbt2qVx48Y5MTy4iNNp/mTuYkkXJvc5CWXOuo/PZ8j4AMTP9j4sS5Ys0fr161VXVxfT9bfeeqva29v12muvdT02ZcoUTZgwQcuXL4/pPejDkr46A0FNfWKLmtuOR6xjSXWTt0zjlj4n6dJ8D0h3VuZvR2pY9u7dq8LCQp133nm6/fbbtX///qjX1tTUqKysLOyx6dOnq6amJuprOjo65Pf7w25IDaeXBkjzm8OJAminhDJnN004W6WjhvB/H0AasH1JaPLkyVq1apVGjx6tpqYmVVZW6qqrrlJ9fb3y8vJ6XN/c3Kzhw4eHPTZ8+HA1NzdH/RtVVVWqrKy0e+iwKFlLA6T5zUCfEwCpZHvAMnPmzK7/ffHFF2vy5MkaOXKkfvWrX+nee++15W8sWrRIFRUVXff9fr+KiopseW/EJtrSQKg3it1LAzPGFWhaiY80fwrR5wRAKjne6XbQoEG64IILtG/fvojP+3w+tbS0hD3W0tIin88X9T1zcnKUk5Nj6zgRu1S1QKdANrXocwIglRzvw3Ls2DE1NDSooCDyr+3S0lJt3rw57LGNGzeqtLTU6aEhTk71RoHZ6HMCIJVsD1geeughbd26VR9++KG2bdumOXPmKDs7W+Xl5ZKkO++8U4sWLeq6/v7771d1dbV+8pOf6P3339eSJUu0Y8cOLVy40O6hwSYsDWQmCqABpJLtAcvBgwdVXl6u0aNH6+tf/7qGDBmi2tpaDR06VJK0f/9+NTV9fvbLFVdcoTVr1ui5557T+PHj9etf/1rr16+nB4vBWBrIXHQIBpAqtvdhSQX6sCQXvVFAnxMAdrAyfztedIv0E1oamL96lzxSWNDC0kBmoAAaQLJx+CHiwtIAACCZyLAgbvRGAQAkCwELEsLSAAAgGVgSAgAAxiNgAQAAxiNgAQAAxiNgAQAAxiNgAQAAxiNgAQAAxiNgAQAAxiNgAQAAxiNgAQAAxiNgAQAAxiNgAQAAxiNgAQAAxiNgAQAAxiNgAQAAxiNgAQAAxiNgAQAAxiNgAQAAxiNgAQAAxiNgAQAAxiNgAQAAxiNgAQAAxiNgAQAAxiNgAQAAxiNgAQAAxiNgAQAAxiNgAQAAxiNgAQAAxiNgAQAAxrM9YKmqqtLll1+uvLw8DRs2TLNnz9aePXt6fc2qVavk8XjCbrm5uXYPDQAAuJTtAcvWrVu1YMEC1dbWauPGjTp58qRuuOEGtbe39/q6/Px8NTU1dd0++ugju4cGAABcqp/db1hdXR12f9WqVRo2bJh27typL3/5y1Ff5/F45PP57B4OAABIA47XsLS1tUmSBg8e3Ot1x44d08iRI1VUVKSbbrpJf/nLX6Je29HRIb/fH3YDAADpy9GAJRAI6IEHHtCVV16pcePGRb1u9OjRev755/XKK69o9erVCgQCuuKKK3Tw4MGI11dVVcnr9XbdioqKnPoIAADAAJ5gMBh06s3nz5+v3/3ud3r77bd1zjnnxPy6kydP6sILL1R5ebkee+yxHs93dHSoo6Oj677f71dRUZHa2tqUn59vy9gBAICz/H6/vF5vTPO37TUsIQsXLtRrr72mt956y1KwIkn9+/fXJZdcon379kV8PicnRzk5OXYMEwAAuIDtS0LBYFALFy7UunXrtGXLFhUXF1t+j87OTr333nsqKCiwe3gAAMCFbM+wLFiwQGvWrNErr7yivLw8NTc3S5K8Xq/OOOMMSdKdd96ps88+W1VVVZKk73//+5oyZYrOP/98tba26sknn9RHH32k++67z+7hAQAAF7I9YFm2bJkk6Zprrgl7fOXKlbrrrrskSfv371dW1ufJnU8//VTz5s1Tc3OzzjzzTE2cOFHbtm1TSUmJ3cMDAAAu5GjRbbJYKdoBAABmMKLoFj11BoLa3nhUhz47rmF5uZpUPFjZWZ5UDwsAAOMRsCRJdX2TKjfsVlPb8a7HCry5WjyrRDPGUVwMAEBvOK05CarrmzR/9a6wYEWSmtuOa/7qXaqub0rRyAAAcAcCFod1BoKq3LBbkQqFQo9VbtitzoDrS4kAAHAMAYvDtjce7ZFZOV1QUlPbcW1vPJq8QQEA4DIELA479Fn0YCWe6wAAyEQELA4blpdr63UAAGQiAhaHTSoerAJvrqJtXvbo1G6hScWDkzksAABchYDFYdlZHi2edapjb/egJXR/8awS+rEAANALApYkmDGuQMvuuFQ+b/iyj8+bq2V3XEofFgAA+kDjuCSZMa5A00p8dLq1Gd2DASAzELAkUXaWR6WjhqR6GGmD7sEAkDlYEoIr0T0YADILAQtch+7BAJB5CFjgOnQPBoDMQ8AC16F7MABkHgIWuA7dgwEg8xCwwHXoHgwAmYeApRedgaBqGo7olbqPVdNwhCJOQ9A9GAAyD31YoqDHh9lC3YO7/zfy8d8IANKSJxgMuj5t4Pf75fV61dbWpvz8/ITfL9Tjo/sXE/q9Tjt9c9DpFgDcy8r8TYalm756fHh0qsfHtBIfE6MB6B4MAJmBGpZu6PEBAIB5CFi6occHAADmIWDphh4fAACYh4ClG3p8AABgHgKWbujxAQCAeQhYIgj1+PB5w5d9fN5ctjQDAJACbGuOYsa4Ak0r8dHjAwAAAxCw9IIeHwAAmIElIQAAYDzHApZnn31W5557rnJzczV58mRt37691+tffvlljRkzRrm5ubrooov029/+1qmhAQAAl3EkYHnppZdUUVGhxYsXa9euXRo/frymT5+uQ4cORbx+27ZtKi8v17333qs//elPmj17tmbPnq36+nonhgcAAFzGkcMPJ0+erMsvv1zPPPOMJCkQCKioqEj/9m//pkceeaTH9bfeeqva29v12muvdT02ZcoUTZgwQcuXL+/z79l9+CEAAHCelfnb9gzLiRMntHPnTpWVlX3+R7KyVFZWppqamoivqampCbtekqZPnx71egAAkFls3yV0+PBhdXZ2avjw4WGPDx8+XO+//37E1zQ3N0e8vrm5OeL1HR0d6ujo6Lrv9/sTHDUAADCZK3cJVVVVyev1dt2KiopSPSQAAOAg2wOWs846S9nZ2WppaQl7vKWlRT6fL+JrfD6fpesXLVqktra2rtuBAwfsGTwAADCS7QHLgAEDNHHiRG3evLnrsUAgoM2bN6u0tDTia0pLS8Oul6SNGzdGvT4nJ0f5+flhNwAAkL4c6XRbUVGhuXPn6rLLLtOkSZO0dOlStbe36+6775Yk3XnnnTr77LNVVVUlSbr//vt19dVX6yc/+YluvPFGrV27Vjt27NBzzz0X098LbXSilgUAAPcIzdsxbVgOOuTnP/95cMSIEcEBAwYEJ02aFKytre167uqrrw7OnTs37Ppf/epXwQsuuCA4YMCA4NixY4Ovv/56zH/rwIEDQUncuHHjxo0bNxfeDhw40Odc70gflmQLBAL65JNPlJeXJ48nvQ4n9Pv9Kioq0oEDB1j6chjfdXLwPScH33Py8F3HLxgM6rPPPlNhYaGysnqvUkmLww+zsrJ0zjnnpHoYjqJWJ3n4rpOD7zk5+J6Th+86Pl6vN6brXLmtGQAAZBYCFgAAYDwCFsPl5ORo8eLFysnJSfVQ0h7fdXLwPScH33Py8F0nR1oU3QIAgPRGhgUAABiPgAUAABiPgAUAABiPgAUAABiPgMVQy5Yt08UXX9zViKi0tFS/+93vUj2stPf444/L4/HogQceSPVQ0s6SJUvk8XjCbmPGjEn1sNLSxx9/rDvuuENDhgzRGWecoYsuukg7duxI9bDSzrnnntvj/6Y9Ho8WLFiQ6qGlpbTodJuOzjnnHD3++OP60pe+pGAwqBdeeEE33XST/vSnP2ns2LGpHl5aevfdd/Wf//mfuvjii1M9lLQ1duxYbdq0qet+v378E2S3Tz/9VFdeeaWuvfZa/e53v9PQoUO1d+9enXnmmakeWtp599131dnZ2XW/vr5e06ZN09e+9rUUjip98a+FoWbNmhV2/4c//KGWLVum2tpaAhYHHDt2TLfffrtWrFihH/zgB6keTtrq16+ffD5fqoeR1p544gkVFRVp5cqVXY8VFxencETpa+jQoWH3H3/8cY0aNUpXX311ikaU3lgScoHOzk6tXbtW7e3tKi0tTfVw0tKCBQt04403qqysLNVDSWt79+5VYWGhzjvvPN1+++3av39/qoeUdl599VVddtll+trXvqZhw4bpkksu0YoVK1I9rLR34sQJrV69Wvfcc0/aHcJrCjIsBnvvvfdUWlqq48eP64tf/KLWrVunkpKSVA8r7axdu1a7du3Su+++m+qhpLXJkydr1apVGj16tJqamlRZWamrrrpK9fX1ysvLS/Xw0sYHH3ygZcuWqaKiQt/5znf07rvv6lvf+pYGDBiguXPnpnp4aWv9+vVqbW3VXXfdleqhpC063RrsxIkT2r9/v9ra2vTrX/9a//Vf/6WtW7cStNjowIEDuuyyy7Rx48au2pVrrrlGEyZM0NKlS1M7uDTX2tqqkSNH6qmnntK9996b6uGkjQEDBuiyyy7Ttm3buh771re+pXfffVc1NTUpHFl6mz59ugYMGKANGzakeihpiyUhgw0YMEDnn3++Jk6cqKqqKo0fP14//elPUz2stLJz504dOnRIl156qfr166d+/fpp69at+tnPfqZ+/fqFFdTBXoMGDdIFF1ygffv2pXooaaWgoKDHj5oLL7yQ5TcHffTRR9q0aZPuu+++VA8lrbEk5CKBQEAdHR2pHkZauf766/Xee++FPXb33XdrzJgxevjhh5WdnZ2ikaW/Y8eOqaGhQd/4xjdSPZS0cuWVV2rPnj1hj/31r3/VyJEjUzSi9Ldy5UoNGzZMN954Y6qHktYIWAy1aNEizZw5UyNGjNBnn32mNWvW6M0339Tvf//7VA8treTl5WncuHFhjw0cOFBDhgzp8TgS89BDD2nWrFkaOXKkPvnkEy1evFjZ2dkqLy9P9dDSyoMPPqgrrrhCP/rRj/T1r39d27dv13PPPafnnnsu1UNLS4FAQCtXrtTcuXPZpu8wvl1DHTp0SHfeeaeamprk9Xp18cUX6/e//72mTZuW6qEBcTl48KDKy8t15MgRDR06VFOnTlVtbW2PraFIzOWXX65169Zp0aJF+v73v6/i4mItXbpUt99+e6qHlpY2bdqk/fv365577kn1UNIeRbcAAMB4FN0CAADjEbAAAADjEbAAAADjEbAAAADjEbAAAADjEbAAAADjEbAAAADjEbAAAADjEbAAAADjEbAAAADjEbAAAADjEbAAAADj/f8zXAKHluVKmAAAAABJRU5ErkJggg==\n"
},
"metadata": {}
}
],
"source": [
"nbpts=100 # number of data points to generate\n",
"\n",
"mu=[5,10] # mean of x and mean of y\n",
"sigma=[1,4] # standard deviation of x and standard deviation of y\n",
"corr=0.8 # correlation between x and y. This lies between -1 and 1.\n",
"cov=corr*sigma[0]*sigma[1] # covariance, which is correlation times the 2 std devs.\n",
"\n",
"C=[[sigma[0]**2,cov],[cov,sigma[1]**2]] # covariance matrix\n",
"\n",
"data=np.random.multivariate_normal(mu,C,nbpts)\n",
"plt.scatter(data[:,0],data[:,1])"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "yoBsQo3AOTuh"
},
"source": [
"Now let's normalise it. Note that we take the mean and standard deviation across rows here (implemented by the argument 0 when running np.mean and np.std) to obtain these in each column (dimension)."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 449
},
"id": "PTIl_kGnOTuh",
"outputId": "561d044c-a9c2-4d28-af07-82b402be7786"
},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7cf75e173130>"
]
},
"metadata": {},
"execution_count": 7
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": "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\n"
},
"metadata": {}
}
],
"source": [
"data_norm = (data-np.mean(data,0))/np.std(data,0) # Note vectorised operations for mean and standard deviation.\n",
"plt.scatter(data_norm[:,0],data_norm[:,1],c='r') # Normalised data in red"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "sES8GSnaOTui"
},
"source": [
"# Principal Component Analysis (PCA)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "MG3w0UdmOTui"
},
"source": [
"**Q3.** Use Principal Component Analysis to reduce the dimension of the data to 1 (i.e. use one principal component), and plot the result. What happens if you use two principal components?\n",
"\n",
"You can either use sklearn: https://scikit-learn.org/stable/modules/generated/sklearn.decomposition.PCA.html\n",
"\n",
"or, if you like a challenge, obtain the principal components with your own code, after finding the eigenvalues and eigenvectors of the covariance matrix using *eig* from **scipy.linalg**.\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "aXUTP3IwOTui"
},
"source": [
"For the **sklearn** method please read the manual. Here is how to code this yourself (just with a function to compute the eigenvalues and eigenvectors)."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Oiqu_nhBOTui"
},
"source": [
"First principal component, plotted on a new x-axis"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 430
},
"id": "aputfu-2OTui",
"outputId": "92bf2fb7-c5a6-4241-c952-0e1bd031cbee"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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0tG+6envO7i/u+A1zxTjrG9ON+vDU73JzOzZ4sqZmE24SEhKstLQ0x+vq6morKirKysrKqrP9Qw89ZI0YMaLWvMTEROuxxx6zLOuHszaRkZHWggULHMvLysqsgIAA6+9//7tTNbky3Fy9erXBf3XabDYrJibGunr1arPot6k8VY+rtuNsPxUVFU06w1FXf9HR0Vbnzp0bbNfUf417eoqOjna8x1evXr3huJia1/Tj78mNvg+u3F5jtvW/+5kruHKcTRmTJ36Xm9uxwdM1NYtwU1FRYfn6+lqbNm2qNX/ixInWyJEj61wnJibGWrhwYa158+fPt/r27WtZlmWdOXPGkmQdOXKkVptf/vKX1hNPPFFnn1euXLHsdrtjKigocOrNccauXbuc+qLs2rWrWfTbVJ6qx1XbcbafhQsXuu0Hv6VP195jZ99LpuY3efoz3LVrV6O35crfMHeM09tjauoYPXVs8HRNzoYbt94tdeHCBVVXVysiIqLW/IiICBUXF9e5TnFxcYPtr/23MX1mZWUpODjYMcXExDRpPHX56quvXNrO3f02lafqcdV2nO3nzJkzTrVrja69h57ax+B6nv4Mv/rqK7f91nm6r//t05tjamrfnvzeNseaWsWt4BkZGbLb7Y6poKDAZX136tTJpe3c3W9TeaoeV23H2X66d+/uVLvW6Np76Kl9DK7n6c+wU6dObvut83Rf/9unN8fU1L49+b1tjjW1ij9L/Zg7rrmp70Kzm73mxtX9NpWn6nHVdpztxx3X3DR00aGvr2+zu3i4rolrblr2VN81N+7a95rbNTeuGGdzv+amuRwbPF1Ts7jmxrJ+uKB4xowZjtfV1dVW586dG7yg+Fe/+lWteUlJSdddUPzSSy85ltvtdq9dUGxZ/71K/McfrKvulnJ1v03lqXpctR1n+3HH3VL1bfPa3VJ1LffUgc+ZibulWu50o7ulGtr3mrIfNte7pW5mnC3lbqnmcmzwZE3NJtysW7fOCggIsFatWmWdOHHCmjZtmhUSEmIVFxdblmVZEyZMsObOneto/+GHH1p+fn7WSy+9ZJ08edLKzMys81bwkJAQa8uWLdann35qjRo1yqu3gltW3ff3x8TEuOU5N67ot7nX46rtONvPzTzn5sf93WibDS13xXNuYmJieM6NFydvP+emoe9JY/c9Z55zU9/2mttzbhoa54/f64bGVN++6unf5eZ2bPBUTc4ev22WZVlysyVLlmjBggUqLi5W//79tXjxYiUmJkr64YmXcXFxWrVqlaP9hg0bNG/ePJ09e1Y9evTQiy++qPvvv9+x3LIsZWZm6o033lBZWZnuuusuLVu2TD/96U+dqqe8vFzBwcGy2+0KCgpy2Th5QnHz3A5PKOYJxTyh2Ll9kycU84Ti5l6Ts8dvj4Sb5sZd4QYAALiPs8fvVnG3FAAAaD0INwAAwCiEGwAAYBTCDQAAMArhBgAAGIVwAwAAjEK4AQAARiHcAAAAoxBuAACAUQg3AADAKIQbAABgFMINAAAwCuEGAAAYhXADAACMQrgBAABGIdwAAACjEG4AAIBRCDcAAMAohBsAAGAUwg0AADAK4QYAABiFcAMAAIxCuAEAAEYh3AAAAKMQbgAAgFEINwAAwCiEGwAAYBTCDQAAMArhBgAAGIVwAwAAjEK4AQAARiHcAAAAoxBuAACAUQg3AADAKIQbAABgFMINAAAwCuEGAAAYhXADAACMQrgBAABGIdwAAACjEG4AAIBRCDcAAMAohBsAAGAUwg0AADAK4QYAABiFcAMAAIxCuAEAAEYh3AAAAKMQbgAAgFEINwAAwCiEGwAAYBTCDQAAMArhBgAAGIVwAwAAjEK4AQAARiHcAAAAo7gt3Fy8eFHjx49XUFCQQkJCNGXKFH377bcNrnPlyhWlpaUpLCxM7du315gxY1RSUuJY/sknn2jcuHGKiYlR27Zt1atXL7366qvuGgIAAGiB3BZuxo8fr7y8PO3YsUNbt27V3r17NW3atAbXeeqpp/Tuu+9qw4YN2rNnj4qKivTAAw84lufm5qpjx4566623lJeXp2effVYZGRlasmSJu4YBAABaGJtlWZarOz158qR69+6tgwcPKj4+XpK0fft23X///Tp37pyioqKuW8dutys8PFxr167V2LFjJUmnTp1Sr169lJOTo0GDBtW5rbS0NJ08eVI7d+50ur7y8nIFBwfLbrcrKCioCSMEAACe5uzx2y1nbnJychQSEuIINpKUkpIiHx8fHThwoM51cnNzVVVVpZSUFMe8nj17KjY2Vjk5OfVuy263KzQ01HXFAwCAFs3PHZ0WFxerY8eOtTfk56fQ0FAVFxfXu46/v79CQkJqzY+IiKh3nf3792v9+vV67733GqynoqJCFRUVjtfl5eVOjAIAALREjTpzM3fuXNlstganU6dOuavWWo4fP65Ro0YpMzNT99xzT4Nts7KyFBwc7JhiYmI8UiMAAPC8Rp25efrpp/XII4802KZbt26KjIxUaWlprflXr17VxYsXFRkZWed6kZGRqqysVFlZWa2zNyUlJdetc+LECSUnJ2vatGmaN2/eDevOyMhQenq643V5eTkBBwAAQzUq3ISHhys8PPyG7ZKSklRWVqbc3FwNGDBAkrRz507V1NQoMTGxznUGDBigNm3aKDs7W2PGjJEknT59Wvn5+UpKSnK0y8vL0/DhwzVp0iQ9//zzTtUdEBCggIAAp9oCAICWzS13S0nSfffdp5KSEq1YsUJVVVWaPHmy4uPjtXbtWklSYWGhkpOTtXr1aiUkJEiSHn/8cW3btk2rVq1SUFCQZs6cKemHa2ukH/4UNXz4cKWmpmrBggWObfn6+joVuq7hbikAAFoeZ4/fbrmgWJLWrFmjGTNmKDk5WT4+PhozZowWL17sWF5VVaXTp0/ru+++c8xbuHCho21FRYVSU1O1bNkyx/J33nlH58+f11tvvaW33nrLMb9Lly46e/asu4YCAABaELeduWnOOHMDAEDL49Xn3AAAAHgL4QYAABiFcAMAAIxCuAEAAEYh3AAAAKMQbgAAgFEINwAAwCiEGwAAYBTCDQAAMArhBgAAGIVwAwAAjEK4AQAARiHcAAAAoxBuAACAUQg3AADAKIQbAABgFMINAAAwCuEGAAAYhXADAACMQrgBAABGIdwAAACjEG4AAIBRCDcAAMAohBsAAGAUwg0AADAK4QYAABiFcAMAAIxCuAEAAEYh3AAAAKMQbgAAgFEINwAAwCiEGwAAYBTCDQAAMArhBgAAGIVwAwAAjEK4AQAARiHcAAAAoxBuAACAUQg3AADAKIQbAABgFMINAAAwCuEGAAAYhXADAACMQrgBAABGIdwAAACjEG4AAIBRCDcAAMAohBsAAGAUwg0AADAK4QYAABiFcAMAAIxCuAEAAEYh3AAAAKMQbgAAgFEINwAAwCiEGwAAYBTCDQAAMIrbws3Fixc1fvx4BQUFKSQkRFOmTNG3337b4DpXrlxRWlqawsLC1L59e40ZM0YlJSV1tv36668VHR0tm82msrIyN4wAAAC0RG4LN+PHj1deXp527NihrVu3au/evZo2bVqD6zz11FN69913tWHDBu3Zs0dFRUV64IEH6mw7ZcoU9e3b1x2lAwCAFsxmWZbl6k5Pnjyp3r176+DBg4qPj5ckbd++Xffff7/OnTunqKio69ax2+0KDw/X2rVrNXbsWEnSqVOn1KtXL+Xk5GjQoEGOtsuXL9f69es1f/58JScn65tvvlFISIjT9ZWXlys4OFh2u11BQUE3N1gAAOARzh6/3XLmJicnRyEhIY5gI0kpKSny8fHRgQMH6lwnNzdXVVVVSklJcczr2bOnYmNjlZOT45h34sQJ/fGPf9Tq1avl4+Nc+RUVFSovL681AQAAM7kl3BQXF6tjx4615vn5+Sk0NFTFxcX1ruPv73/dGZiIiAjHOhUVFRo3bpwWLFig2NhYp+vJyspScHCwY4qJiWncgAAAQIvRqHAzd+5c2Wy2BqdTp065q1ZlZGSoV69e+t3vftfo9ex2u2MqKChwU4UAAMDb/BrT+Omnn9YjjzzSYJtu3bopMjJSpaWlteZfvXpVFy9eVGRkZJ3rRUZGqrKyUmVlZbXO3pSUlDjW2blzp44dO6Z33nlHknTtcqHbbrtNzz77rP7whz/U2XdAQIACAgKcGSIAAGjhGhVuwsPDFR4efsN2SUlJKisrU25urgYMGCDph2BSU1OjxMTEOtcZMGCA2rRpo+zsbI0ZM0aSdPr0aeXn5yspKUmStHHjRn3//feOdQ4ePKhHH31U+/btU/fu3RszFAAAYKhGhRtn9erVS/fee6+mTp2qFStWqKqqSjNmzNBvf/tbx51ShYWFSk5O1urVq5WQkKDg4GBNmTJF6enpCg0NVVBQkGbOnKmkpCTHnVI/DjAXLlxwbK8xd0sBAABzuSXcSNKaNWs0Y8YMJScny8fHR2PGjNHixYsdy6uqqnT69Gl99913jnkLFy50tK2oqFBqaqqWLVvmrhIBAICB3PKcm+aO59wAANDyePU5NwAAAN5CuAEAAEYh3AAAAKMQbgAAgFEINwAAwCiEGwAAYBTCDQAAMArhBgAAGIVwAwAAjEK4AQAARiHcAAAAoxBuAACAUQg3AADAKIQbAABgFMINAAAwCuEGAAAYhXADAACMQrgBAABGIdwAAACjEG4AAIBRCDcAAMAohBsAAGAUwg0AADAK4QYAABiFcAMAAIxCuAEAAEYh3AAAAKMQbgAAgFEINwAAwCiEGwAAYBTCDQAAMArhBgAAGIVwAwAAjEK4AQAARiHcAAAAoxBuAACAUQg3AADAKIQbAABgFMINAAAwCuEGAAAYhXADAACMQrgBAABG8fN2Ad5gWZYkqby83MuVAAAAZ107bl87jtenVYabS5cuSZJiYmK8XAkAAGisS5cuKTg4uN7lNutG8cdANTU1KioqUocOHWSz2eptV15erpiYGBUUFCgoKMiDFXpeaxqr1LrG25rGKrWu8bamsUqta7ytaayS8+O1LEuXLl1SVFSUfHzqv7KmVZ658fHxUXR0tNPtg4KCWsXOJbWusUqta7ytaaxS6xpvaxqr1LrG25rGKjk33obO2FzDBcUAAMAohBsAAGAUwk0DAgIClJmZqYCAAG+X4nataaxS6xpvaxqr1LrG25rGKrWu8bamsUquH2+rvKAYAACYizM3AADAKIQbAABgFMINAAAwCuEGAAAYhXDTSBUVFerfv79sNpuOHj3q7XLcZuTIkYqNjVVgYKA6deqkCRMmqKioyNtludzZs2c1ZcoUde3aVW3btlX37t2VmZmpyspKb5fmFs8//7wGDx6sdu3aKSQkxNvluNzSpUsVFxenwMBAJSYm6uOPP/Z2SW6xd+9e/frXv1ZUVJRsNps2b97s7ZLcJisrSwMHDlSHDh3UsWNHjR49WqdPn/Z2WW6zfPly9e3b1/Ewu6SkJP3rX//ydlke8cILL8hms+nJJ5+86b4IN430+9//XlFRUd4uw+2GDRumt99+W6dPn9bGjRt15swZjR071ttludypU6dUU1Oj119/XXl5eVq4cKFWrFihZ555xtuluUVlZaUefPBBPf74494uxeXWr1+v9PR0ZWZm6vDhw+rXr59SU1NVWlrq7dJc7vLly+rXr5+WLl3q7VLcbs+ePUpLS9NHH32kHTt2qKqqSvfcc48uX77s7dLcIjo6Wi+88IJyc3N16NAhDR8+XKNGjVJeXp63S3OrgwcP6vXXX1ffvn1d06EFp23bts3q2bOnlZeXZ0myjhw54u2SPGbLli2WzWazKisrvV2K27344otW165dvV2GW61cudIKDg72dhkulZCQYKWlpTleV1dXW1FRUVZWVpYXq3I/SdamTZu8XYbHlJaWWpKsPXv2eLsUj7n11lutv/zlL94uw20uXbpk9ejRw9qxY4d19913W7NmzbrpPjlz46SSkhJNnTpVf/vb39SuXTtvl+NRFy9e1Jo1azR48GC1adPG2+W4nd1uV2hoqLfLQCNUVlYqNzdXKSkpjnk+Pj5KSUlRTk6OFyuDq9ntdklqFd/R6upqrVu3TpcvX1ZSUpK3y3GbtLQ0jRgxotb392YRbpxgWZYeeeQRTZ8+XfHx8d4ux2PmzJmjW265RWFhYcrPz9eWLVu8XZLbff7553rttdf02GOPebsUNMKFCxdUXV2tiIiIWvMjIiJUXFzspargajU1NXryySd15513qk+fPt4ux22OHTum9u3bKyAgQNOnT9emTZvUu3dvb5flFuvWrdPhw4eVlZXl0n5bdbiZO3eubDZbg9OpU6f02muv6dKlS8rIyPB2yTfF2fFeM3v2bB05ckQffPCBfH19NXHiRFkt5IHWjR2rJBUWFuree+/Vgw8+qKlTp3qp8sZryliBligtLU3Hjx/XunXrvF2KW91+++06evSoDhw4oMcff1yTJk3SiRMnvF2WyxUUFGjWrFlas2aNAgMDXdp3q/7fL5w/f15ff/11g226deumhx56SO+++65sNptjfnV1tXx9fTV+/Hj99a9/dXepLuHseP39/a+bf+7cOcXExGj//v0t4vRoY8daVFSkoUOHatCgQVq1apV8fFpO7m/K57pq1So9+eSTKisrc3N1nlFZWal27drpnXfe0ejRox3zJ02apLKyMqPPOtpsNm3atKnWuE00Y8YMbdmyRXv37lXXrl29XY5HpaSkqHv37nr99de9XYpLbd68Wb/5zW/k6+vrmFddXS2bzSYfHx9VVFTUWtYYfq4qsiUKDw9XeHj4DdstXrxY//d//+d4XVRUpNTUVK1fv16JiYnuLNGlnB1vXWpqaiT9cCt8S9CYsRYWFmrYsGEaMGCAVq5c2aKCjXRzn6sp/P39NWDAAGVnZzsO8jU1NcrOztaMGTO8WxxuimVZmjlzpjZt2qTdu3e3umAj/bAvt5Tf3sZITk7WsWPHas2bPHmyevbsqTlz5jQ52EitPNw4KzY2ttbr9u3bS5K6d++u6Ohob5TkVgcOHNDBgwd111136dZbb9WZM2f03HPPqXv37i3irE1jFBYWaujQoerSpYteeuklnT9/3rEsMjLSi5W5R35+vi5evKj8/HxVV1c7ntX0k5/8xLFft1Tp6emaNGmS4uPjlZCQoEWLFuny5cuaPHmyt0tzuW+//Vaff/654/UXX3yho0ePKjQ09Lrfq5YuLS1Na9eu1ZYtW9ShQwfHNVTBwcFq27atl6tzvYyMDN13332KjY3VpUuXtHbtWu3evVvvv/++t0tzuQ4dOlx37dS16zxv+pqqm77fqhX64osvjL4V/NNPP7WGDRtmhYaGWgEBAVZcXJw1ffp069y5c94uzeVWrlxpSapzMtGkSZPqHOuuXbu8XZpLvPbaa1ZsbKzl7+9vJSQkWB999JG3S3KLXbt21fk5Tpo0yduluVx938+VK1d6uzS3ePTRR60uXbpY/v7+Vnh4uJWcnGx98MEH3i7LY1x1K3irvuYGAACYp2VdXAAAAHADhBsAAGAUwg0AADAK4QYAABiFcAMAAIxCuAEAAEYh3AAAAKMQbgAAgFEINwAAwCiEGwAAYBTCDQAAMArhBgAAGOX/AWJMF6Q6BldzAAAAAElFTkSuQmCC\n"
},
"metadata": {}
}
],
"source": [
"import scipy.linalg as linalg\n",
"\n",
"C = np.cov(data_norm.T) # Calculate the covariance matrix of the normalised data\n",
"[lambda_arr,U] = linalg.eig(C) # Returns array (not diagonal matrix) of lambda (eigenvalues) and U (eigenvector matrix)\n",
"largest_eig_idx = np.where(lambda_arr==max(lambda_arr))[0] # Find index of largest eigenvalue\n",
"data_reduced = np.dot(data_norm,U[:,largest_eig_idx]); # This is a simple matrix vector multiplication (a dot product)\n",
"plt.scatter(data_reduced,np.zeros((len(data_reduced),1)),c='k'); # in black\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "n1UUzrpcOTui"
},
"source": [
"Now, let's plot the first principal component on the x axis and the second principal component on the y axis."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "8F9SO82fOTuj"
},
"outputs": [],
"source": [
"smaller_eig_idx = np.where(lambda_arr==min(lambda_arr))[0] # Find index of the smaller eigenvalue\n",
"data_PC2 = np.dot(data_norm,U[:,smaller_eig_idx]) # Extract component in direction of eigenvector with smaller eigenvalue"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 430
},
"id": "3u891lnSOTuj",
"outputId": "2a373c6c-4a91-4b56-e3bc-12afed2aad12"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
],
"source": [
"plt.scatter(data_reduced,data_PC2,c='k'); # in black\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "2rap2MYpOTuj"
},
"source": [
"You can see that the principal components are not correlated, and that the variance is greater in the x direction (first principal component)\n",
"than in the y-direction (second principal component)."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "FWxhPdGzOTuk"
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.4"
},
"colab": {
"provenance": []
}
},
"nbformat": 4,
"nbformat_minor": 0
}