{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"provenance":[]},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"}},"cells":[{"cell_type":"markdown","source":["For help on using the functions see the documentation:\n","\n","Hierarchical Clustering:\n","https://docs.scipy.org/doc/scipy/reference/generated/scipy.cluster.hierarchy.dendrogram.html\n","https://docs.scipy.org/doc/scipy/reference/generated/scipy.cluster.hierarchy.linkage.html\n","\n","KMeans:\n","https://scikit-learn.org/stable/modules/generated/sklearn.cluster.KMeans.html\n","\n","Gaussian Mixture:\n","https://scikit-learn.org/stable/modules/generated/sklearn.mixture.GaussianMixture.html\n","\n","Principle Component Analysis (PCA):\n","https://scikit-learn.org/stable/modules/generated/sklearn.decomposition.PCA.html\n","\n","(or Google sklearn PCA)"],"metadata":{"id":"3wyp_H1-v2Cd"}},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":206},"id":"mjb5yki5IjZg","executionInfo":{"status":"ok","timestamp":1699468256610,"user_tz":300,"elapsed":1692,"user":{"displayName":"Vincent Fong","userId":"17144638315724899862"}},"outputId":"72ce09bd-3019-4c7b-cf58-79c212a9675b"},"outputs":[{"output_type":"execute_result","data":{"text/plain":[" sepal width (cm) petal length (cm)\n","0 3.5 1.4\n","1 3.0 1.4\n","2 3.2 1.3\n","3 3.1 1.5\n","4 3.6 1.4"],"text/html":["\n","
\n","
\n","\n","\n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n"," \n","
sepal width (cm)petal length (cm)
03.51.4
13.01.4
23.21.3
33.11.5
43.61.4
\n","
\n","
\n","\n","
\n"," \n","\n"," \n","\n"," \n","
\n","\n","\n","
\n"," \n","\n","\n","\n"," \n","
\n","
\n","
\n"]},"metadata":{},"execution_count":1}],"source":["import pandas as pd\n","import numpy as np\n","from sklearn import datasets\n","\n","iris = datasets.load_iris()\n","iris = pd.DataFrame(iris.data[:,1:3], columns=iris.feature_names[1:3])\n","iris.head()"]},{"cell_type":"code","source":["from sklearn.preprocessing import StandardScaler\n","from scipy.cluster.hierarchy import dendrogram, linkage\n","from matplotlib import pyplot as plt\n","\n","# use StandardScaler to normalize features\n","iris_nm = StandardScaler().fit_transform(iris)"],"metadata":{"id":"BtwoZnslIppO"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["# make a scatter plot\n","plt.scatter(iris_nm[:,0], iris_nm[:, 1])"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":447},"id":"GN-OXAiWMMiM","executionInfo":{"status":"ok","timestamp":1699468276727,"user_tz":300,"elapsed":511,"user":{"displayName":"Vincent Fong","userId":"17144638315724899862"}},"outputId":"350cd3ae-8435-45f8-833e-3c422524bab9"},"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":[""]},"metadata":{},"execution_count":3},{"output_type":"display_data","data":{"text/plain":["
"],"image/png":"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\n"},"metadata":{}}]},{"cell_type":"code","source":["# create a dendrogram\n","clust = linkage(iris_nm)\n","dendrogram(clust)\n","plt.show()"],"metadata":{"id":"mW3sMRalJ0jz"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["from scipy.cluster.hierarchy import fcluster\n","\n","# use fcluster to visualize the clusters better\n","fclust = fcluster(clust, 3, criterion=\"maxclust\")\n","plt.scatter(iris_nm[:, 0], iris_nm[:, 1], c=fclust)"],"metadata":{"id":"FXGreH_1J8xV"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["from sklearn.cluster import KMeans\n","# fit KMeans object\n","kmeans = KMeans(n_clusters = 3)\n","kmeans.fit(iris_nm)"],"metadata":{"id":"b6fYzx2opc1u","executionInfo":{"status":"ok","timestamp":1699468660312,"user_tz":300,"elapsed":1034,"user":{"displayName":"Vincent Fong","userId":"17144638315724899862"}},"colab":{"base_uri":"https://localhost:8080/","height":109},"outputId":"5081794e-62ab-45a9-848f-01f366be445a"},"execution_count":7,"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"]},{"output_type":"execute_result","data":{"text/plain":["KMeans(n_clusters=3)"],"text/html":["
KMeans(n_clusters=3)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
"]},"metadata":{},"execution_count":7}]},{"cell_type":"code","source":["# plot kmeans cluster results\n","labels = kmeans.labels_\n","d0 = iris_nm[np.where(labels == 0)]\n","d1 = iris_nm[np.where(labels == 1)]\n","d2 = iris_nm[np.where(labels == 2)]\n","\n","plt.scatter(iris_nm[:,0], iris_nm[:,1], c = labels)"],"metadata":{"id":"lAW1psSPprkj","colab":{"base_uri":"https://localhost:8080/","height":447},"executionInfo":{"status":"ok","timestamp":1699468814228,"user_tz":300,"elapsed":1157,"user":{"displayName":"Vincent Fong","userId":"17144638315724899862"}},"outputId":"ee7b14ab-5cbc-42b6-b1f3-c367bdb1099f"},"execution_count":12,"outputs":[{"output_type":"execute_result","data":{"text/plain":[""]},"metadata":{},"execution_count":12},{"output_type":"display_data","data":{"text/plain":["
"],"image/png":"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\n"},"metadata":{}}]},{"cell_type":"code","source":["# you can use these functions\n","from matplotlib.patches import Ellipse\n","\n","def draw_ellipse(position, covariance, ax=None, **kwargs):\n"," \"\"\"Draw an ellipse with a given position and covariance\"\"\"\n"," ax = ax or plt.gca()\n","\n"," # Convert covariance to principal axes\n"," if covariance.shape == (2, 2):\n"," U, s, Vt = np.linalg.svd(covariance)\n"," angle = np.degrees(np.arctan2(U[1, 0], U[0, 0]))\n"," width, height = 2 * np.sqrt(s)\n"," else:\n"," angle = 0\n"," width, height = 2 * np.sqrt(covariance)\n","\n"," # Draw ellipses\n"," for nsig in range(1, 4):\n"," ax.add_patch(Ellipse(position, nsig * width, nsig * height,\n"," angle, **kwargs))"],"metadata":{"id":"Sb_fKzyXu0aN","executionInfo":{"status":"ok","timestamp":1699468859636,"user_tz":300,"elapsed":237,"user":{"displayName":"Vincent Fong","userId":"17144638315724899862"}}},"execution_count":16,"outputs":[]},{"cell_type":"code","source":["from sklearn.mixture import GaussianMixture\n","\n","# create GMM object\n","gmm = GaussianMixture(n_components = 3)\n","gmm.fit(iris_nm)\n","predictions = gmm.predict(iris_nm)"],"metadata":{"id":"_Ybp_WuxTsEw","executionInfo":{"status":"ok","timestamp":1699468861097,"user_tz":300,"elapsed":6,"user":{"displayName":"Vincent Fong","userId":"17144638315724899862"}}},"execution_count":17,"outputs":[]},{"cell_type":"code","source":["# plot ellipses\n","plt.scatter(iris_nm[:,0], iris_nm[:, 1], c=predictions, s=40, cmap='viridis')\n","\n","w_factor = 0.2 / gmm.weights_.max()\n","for pos, covar, w in zip(gmm.means_, gmm.covariances_, gmm.weights_):\n"," draw_ellipse(pos, covar, alpha=w * w_factor)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":465},"id":"6weM_rlPvzIS","executionInfo":{"status":"ok","timestamp":1699468862507,"user_tz":300,"elapsed":372,"user":{"displayName":"Vincent Fong","userId":"17144638315724899862"}},"outputId":"19ae5af6-12b7-45ca-9ad2-29299855942b"},"execution_count":18,"outputs":[{"output_type":"stream","name":"stderr","text":[":19: MatplotlibDeprecationWarning: Passing the angle parameter of __init__() positionally is deprecated since Matplotlib 3.6; the parameter will become keyword-only two minor releases later.\n"," ax.add_patch(Ellipse(position, nsig * width, nsig * height,\n"]},{"output_type":"display_data","data":{"text/plain":["
"],"image/png":"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\n"},"metadata":{}}]}]}