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A Beginner's Guide to Machine Learning with Scikit-Learn: Unsupervised Learning
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"%pylab inline"
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"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
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"## Unsupervised Learning in Scikit-Learn\n",
"\n",
"Unsupervised learning is used when the data is unlabeled. With unsupervised learning, it's possible to pull out patterns and relationships within the data without knowing what's there. Unsupervised learning is an exploratory kind of learning, and it's good for trying to find hidden structure and correlation in the data. \n",
"\n",
"The two main types of unsupervised learning are clustering and dimensionality reduction. \n",
"\n",
"### Clustering\n",
"\n",
"Clustering, as you can probably infer from the name, clusters similar data instances into groups. The main purpose of clustering is to determine what relationships might exist. Clustering algorithms group data together in a way such that data within the same group are more similar to each other than to those in other groups. \n",
"\n",
"#### K-means clustering\n",
"\n",
"K-means clustering is one of the simplest types of clustering. This algorithm alternates between two steps: assigning each data point to the centroid (or cluster) it is most similar to, and then updating the cluster center by calculating the mean of the data points within the cluster. The algorithm is finished when the assignment of instances to clusters no longer changes. \n",
"\n",
"The K-means clustering algorithm in scikit-learn allows you to choose how many cluster centers to pick, which can deliver poor results if you pick the wrong number of clusters. There are several methods for determining the number of clusters to choose, which is beyond the scope of this talk, but more information can be found *here* (link).\n",
"\n",
"Before I give an example of K-means clustering, I'm going to explain dimensionality reduction, and how it's useful in conjunction with clustering.\n",
"\n",
"### Dimensionality reduction\n",
"\n",
"Dimensionality reduction is the process of reducing the number of random variables and the number of dimensions in your data. For example, you might have a dataset with hundreds of features. It's likely that not all of these features will be useful for your analysis, so dimensionality reduction can help to pull out the features that are important to finding patterns in the data and to reduce the number of dimensions. \n",
"\n",
"#### Principal component analysis\n",
"\n",
"Principal component analysis (PCA) is a method that reduces the number of features, or dimensions, of a dataset by transforming it into a set of linearly uncorrelated variables, referred to as principal components. The number of principal components is less than or equal to the number of original values. PCA is useful for processing high-dimensional datasets into something easier to work with, while still retaining as much of the variance in the dataset as possible.\n",
"\n",
"There are a lot of dimensions in the digits dataset, so here we use PCA to shrink the number of dimensions before clustering the instances."
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"input": [
"from sklearn.datasets import load_digits\n",
"from sklearn.decomposition import PCA\n",
"from sklearn.cluster import KMeans\n",
"import matplotlib.pyplot as plt\n",
"\n",
"digits = load_digits()\n",
"\n",
"X = digits.data\n",
"y = digits.target\n",
"target_names = digits.target_names\n",
"\n",
"pca = PCA(n_components=2)\n",
"X_r = pca.fit(X).transform(X)\n",
"\n",
"plt.figure()\n",
"for c, i, target_name in zip(['b', 'r', 'g', 'c', 'm', 'y', 'k', 'burlywood',\n",
" 'chartreuse', '0.75'],\n",
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], target_names):\n",
" plt.scatter(X_r[y == i, 0], X_r[y == i, 1], c=c, label=target_name)\n",
"plt.legend()\n",
"plt.show()"
],
"language": "python",
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"outputs": [
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X94YMeagX+LPA3fTLlStXJCg0SEzFTKKP1YvZ1SwbNmzIPX/mzBkxOBmEfgiD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DAAAg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\nYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x1082908d0>"
]
}
],
"prompt_number": 4
}
],
"metadata": {}
}
]
}
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