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Created March 3, 2015 05:45
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"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"[![](https://bytebucket.org/davis68/resources/raw/f7c98d2b95e961fae257707e22a58fa1a2c36bec/logos/baseline_cse_wdmk.png?token=be4cc41d4b2afe594f5b1570a3c5aad96a65f0d6)](http://cse.illinois.edu/)"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from __future__ import print_function\n",
"\n",
"import numpy as np\n",
"import matplotlib as mpl\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib.cm as cm\n",
"%matplotlib inline"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<a id='intro'></a>\n",
"\n",
"##Machine Learning \n",
"_Machine learning_ is the science of getting computers to act without telling them to do so. This is where we have got our self-driving cars, effective web search, speech recognition etc. \n",
"\n",
"<img src=\"http://www.toptal.com/uploads/blog/image/443/toptal-blog-image-1407508081138.png\" height=\"400px\" width=\"300px\" />\n",
"\n",
"Machine learning is expanding its reach to various domains. \n",
"\n",
"**Spam Detection** : When gmail detects your spam mail automatically, it is only the result of machine learning techniques.\n",
"\n",
"** Credit Card Frauds** : Identifying 'unusual' activities on a credit card is often a machine learning problem involving anomaly detection.\n",
"\n",
"** Face Detection ** : When Facebook automatically recognizes faces of your friends in a photo, a machine learning process is what's running in the background.\n",
"\n",
"** Product Recommendation ** : Whether Netflix was suggesting you watch House of Cards or Amazon was insisting you finally buy those Bose headphones, it's not magic, but machine learning.\n",
"\n",
"** Customer segmentation ** : Using the data for usage during a trial period of a product, identifying the users who will go onto subscribe for the paid version is a learning problem.\n",
"\n",
"** Medical Diagnosis ** : Using a database of symptoms and treatments of patients, a popular machine learning problem is to predict if a patient has a particular illness."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"\n",
"Today's lesson will walk you through some of machine learning algorithms and demonstrate some working problems in the real world.\n",
"\n",
"## Contents\n",
"- [What is Machine Learning?](#intro)\n",
"- [Types of Machine Learning Algorithms](#algo)\n",
"- [scikit-learn](#sklearn)\n",
" - [Representing Data](#data)\n",
" - [Loading a dataset](#load)\n",
"- [Supervised Learning](#super)\n",
" - [Classification](#class)\n",
" - [KNN](#knn)\n",
" - [OLS](#ols)\n",
" - [SVM](#svm)\n",
"- [Unsupervised Learning](#unsuper)\n",
" - [K-Means](#kmeans)\n",
" - [PCA](#pca)\n",
" - [Neural Networks](#ann)\n",
"- [More examples](#realworld)\n",
" - [Color space segmentation](#colorspace)\n",
" - [Image Compression](#image)\n",
"- [References](#refs)\n",
"- [Credits](#credits)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"<a id='algo'></a>\n",
"### Types of Machine Learning algorithms\n",
"\n",
"All of the problems listed above, are not exactly similar to each other. For instance the customer segmentation problem aims to *cluster* the customers into two sets: the ones who will pay for the version and the ones who won't. The face recognition problem aims to *classify* a face from amongst your friends list. There are broadly two types of machine learning algorithms.\n",
"\n",
"<img src=\"http://qph.is.quoracdn.net/main-qimg-8603f4da7662b5734286552e10ae485f?convert_to_webp=true\" height=\"500px\" width=\"500px\" />\n",
"\n",
"\n",
"- **Supervised learning** : For example, when you rate a movie after you view it on Netflix, the suggestion which follows is predicted using a database of your ratings (known as the training data). When the problem is based on continuous variables, (maybe predicting the stock price) then it falls under *regression*. With class labels (such as in the Netflix problem), the learning problem is called a *classification* problem.\n",
"\n",
"- **Unsupervised learning**: In the case of unsupervised learning, there is no labeled data set which can be used for making further predictions. The learning algorithm tries to find patterns or associations in the given data set. Identifying clusters in the data (as in the customer segmentation problem) and reducing dimensions of the data falls in the unsupervised category.\n",
"\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"<a id='sklearn'></a>\n",
"### Machine Learning in Python\n",
"\n",
"Until before 2007, there existed no built-in machine learning package in Python. David Cournapeau (core developer of `numpy`/`scipy`) developed **Scikit-learn** as a part of a Google Summer of Code project. Later, Matthieu Brucher joined in and the first release was made in January 2010. The project now has 30 contributors and many sponsors including Google and Python Software Foundation.\n",
"\n",
"`scikit-learn` provides a range of supervised and unsupervised learning algorithms via a Python interface (as shown in the Figure below). Some of its dependencies: `scipy`,`numpy`,`pandas`, `matplotlib`\n",
"\n",
"<img src=\"http://scikit-learn.org/stable/_images/plot_classifier_comparison_001.png\"/>\n",
"\n",
"Today's lesson will go over some of these algorithms. We start at the grassroot level, by first learning how to represent data in `scikit-learn`."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"<a id='data'></a>\n",
"### scikit-learn: Representing Data\n",
"Most machine learning algorithms implemented in scikit-learn expect data to be stored in a two-dimensional array or matrix. The arrays can be either numpy arrays, or in some cases scipy.sparse matrices. The size of the array is expected to be [n_samples, n_features]\n",
"\n",
"- `n_samples`: Each sample is an item to process (e.g. classify). A sample can be a document, a picture, a sound, a video, an astronomical object, a row in database or CSV file, or whatever you can describe with a fixed set of quantitative traits.\n",
"\n",
"- `n_features`: The number of features or distinct traits that can be used to describe each item in a quantitative manner. Features are generally real-valued, but may be boolean or discrete-valued in some cases. The number of features must be fixed in advance. However it can be very high dimensional (e.g. millions of features) with most of them being zeros for a given sample. This is a case where scipy.sparse matrices can be useful, in that they are much more memory-efficient than numpy arrays."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<a id='load'></a>\n",
"###Loading a dataset\n",
"\n",
"Before we begin with machine learning, let's start at its very root by understanding how to load a dataset. We are going to start with the `iris` dataset stored in `scikit-learn`.\n",
"\n",
"**Iris Setosa** <img src=\"http://www.twofrog.com/images/iris38a.jpg\" height=\"200px\" width=\"200px\" title=\"Iris Setosa\" />\n",
"**Iris Versicolor** <img src=\"http://www.gatewaygardens.com/_ccLib/image/plants/DETA-185.jpg\" height=\"200px\" width=\"200px\" title=\"Iris Versicolor\" />\n",
"**Iris Virginica** <img src=\"http://mirlab.org/jang/books/dcpr/image/Iris-virginica-3_1.jpg\" height=\"200px\" width=\"200px\" title=\"Iris Virginica\" />\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Question**\n",
"If we want to design an algorithm to recognize iris species, what might the data be?\n",
"(Remember: we need a 2D array of size [`n_samples` x `n_features`].)\n",
"\n",
"- What would the `n_samples` refer to?\n",
"- What might the `n_features` refer to?\n",
"\n",
"Remember that there must be a fixed number of features for each sample, and feature number `i` must be a similar kind of quantity for each sample."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`scikit-learn` has a very straightforward set of data on these iris species. The data consists of the following:\n",
"\n",
"Features in the Iris dataset:\n",
"\n",
"- sepal length in cm\n",
"- sepal width in cm\n",
"- petal length in cm\n",
"- petal width in cm\n",
"\n",
"Target classes to predict:\n",
"\n",
"- Iris Setosa\n",
"- Iris Versicolour\n",
"- Iris Virginica\n",
"\n",
"`scikit-learn` embeds a copy of the iris CSV file along with a helper function to load it into numpy arrays:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn import datasets\n",
"iris = datasets.load_iris() #150 observations of the iris flower with sepal length, sepal width, petal length and petal width"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The data is stored in the `.data` attribute"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#iris.data.shape\n",
"#iris.target_names\n",
"iris.feature_names"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 3,
"text": [
"['sepal length (cm)',\n",
" 'sepal width (cm)',\n",
" 'petal length (cm)',\n",
" 'petal width (cm)']"
]
}
],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This data is four dimensional, but we can visualize two of the dimensions at a time using a simple scatter-plot:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"x_index = 0\n",
"y_index = 1\n",
"\n",
"# this formatter will label the colorbar with the correct target names\n",
"formatter = plt.FuncFormatter(lambda i, *args: iris.target_names[int(i)])\n",
"\n",
"plt.scatter(iris.data[:, x_index], iris.data[:, y_index],\n",
" c=iris.target)\n",
"plt.colorbar(ticks=[0, 1, 2], format=formatter)\n",
"plt.xlabel(iris.feature_names[x_index])\n",
"plt.ylabel(iris.feature_names[y_index])\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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Z+vTpwzPPqJXYyoPJahXGGQvT+ledCqPYLqnExESWLl2a351R2KVLl/j666/LLDDFJC0t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\n5sxh33//faXPVN1XZdutSJX9fffdd+V/P378OAsODq60nav+1tVuRar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"text": [
"<matplotlib.figure.Figure at 0x10d227d90>"
]
}
],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Exercise**\n",
"Change x_index and y_index in the above script and find a combination of two parameters which maximally separate the three classes.\n",
"This exercise is a preview of dimensionality reduction, which we'll see later."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Other datasets**"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"- Packaged Data: these small datasets are packaged with the scikit-learn installation, and can be downloaded using the tools in sklearn.datasets.load_*\n",
"- Downloadable Data: these larger datasets are available for download, and scikit-learn includes tools which streamline this process. These tools can be found in sklearn.datasets.fetch_*\n",
"- Generated Data: there are several datasets which are generated from models based on a random seed. These are available in the sklearn.datasets.make_*"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"datasets.make_circles"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 5,
"text": [
"<function sklearn.datasets.samples_generator.make_circles>"
]
}
],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import pylab as pl\n",
"mpl.rcParams['figure.figsize']=[16,5.4]\n",
"\n",
"digits = datasets.load_digits()\n",
"fig, (ax0, ax1, ax2) = plt.subplots(ncols=3, sharex=True)\n",
"ax0.matshow(digits.images[0])\n",
"ax1.matshow(digits.images[0], cmap=pl.cm.gray_r) \n",
"ax2.imshow(digits.images[2], cmap=pl.cm.gray_r) \n",
"fig.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stderr",
"text": [
"/Users/lrao/Library/Enthought/Canopy_64bit/User/lib/python2.7/site-packages/matplotlib/figure.py:371: UserWarning: matplotlib is currently using a non-GUI backend, so cannot show the figure\n",
" \"matplotlib is currently using a non-GUI backend, \"\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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k8+bNk2oPAMDg8K4DgFmAd90f6VoGalNV07zJpCN5WpT0eiqr7S/pRStLctq0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\nfyNaLL3ldM5ILvX2SZMVyj179sgDDzwgV155pWz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"text": [
"<matplotlib.figure.Figure at 0x10d59f410>"
]
}
],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Estimator**"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Every algorithm is exposed in scikit-learn via an ''Estimator'' object. For instance a linear regression is implemented as follows:\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn.linear_model import LinearRegression"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Estimator parameters: All the parameters of an estimator can be set when it is instantiated, and have suitable default values:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"model = LinearRegression(normalize=True)\n",
"print (model.normalize)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"True\n"
]
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print (model)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"LinearRegression(copy_X=True, fit_intercept=True, normalize=True)\n"
]
}
],
"prompt_number": 9
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Estimated Model parameters: When data is fit with an estimator, parameters are estimated from the data at hand. All the estimated parameters are attributes of the estimator object ending by an underscore:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"mpl.rcParams['figure.figsize']=[6,3]\n",
"\n",
"x = np.array([0, 1, 2])\n",
"y = np.array([0, 1, 2])\n",
"\n",
"plt.plot(x, y, 'o')\n",
"plt.xlim(-0.5, 2.5)\n",
"plt.ylim(-0.5, 2.5)\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x10e79f6d0>"
]
}
],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# The input data for sklearn is 2D: (samples == 3 x features == 1)\n",
"X = x[:, np.newaxis]\n",
"print (X)\n",
"print (y)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[[0]\n",
" [1]\n",
" [2]]\n",
"[0 1 2]\n"
]
}
],
"prompt_number": 11
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"model.fit(X, y) \n",
"print (model.coef_)\n",
"print (model.intercept_)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[ 1.]\n",
"1.11022302463e-16\n"
]
}
],
"prompt_number": 12
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"model.residues_"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 13,
"text": [
"1.2325951644078309e-32"
]
}
],
"prompt_number": 13
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The model found a line with a slope 1 and intercept 0"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"<a id='super'></a>\n",
"### Supervised Learning\n",
"\n",
"In supervised learning, the computer gets presented with a set of sample data (or \"training\" data as it is called) along with its output. The idea is to develop a rule or a model that maps the sample output to the input. So, when the computer is presented with a new input, it can classify it into a particular category. For example, spam filtering is an instance where the learning algorithm is presented with emails messages labeled beforehand as \"spam\" or \"not spam\", to produce a computer program that labels unseen messages as either spam or not.\n",
"\n",
"Essentially we have a dataset consisting of both features and labels. The task is to construct an estimator which is able to predict the label of an object given the set of features. \n",
"\n",
"Supervised learning is further broken down into two categories, **classification** and **regression**. In classification, the label is discrete, while in regression, the label is continuous."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" `scikit-learn` supports a number of supervised learning algorithms, and we will try to elucidate using examples using the following:"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- KNN (K Nearest Neighbours)\n",
"- Linear Regression\n",
"- Support Vector Machines\n",
"\n",
"<img src=\"http://phdp.github.io/images/ml-900.png\" height=\"500px\" width=\"500px\" title=\"Iris Setosa\" />\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"<a id='class'></a>\n",
"###Classification\n",
"\n",
"A classification algorithm may be used to draw a dividing boundary between the two clusters of points:\n",
"\n",
"\n",
"<img src=\"http://scikit-learn.org/stable/_images/plot_separating_hyperplane_0011.png\" height=\"500px\" width=\"500px\" />\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<a id='knn'></a>\n",
"**KNN Classification**\n",
"\n",
"K nearest neighbors (kNN) is one of the simplest learning strategies: given a new, unknown observation, look up in your reference database which ones have the closest features and assign the predominant class."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn import neighbors, datasets\n",
"\n",
"iris = datasets.load_iris()\n",
"X, y = iris.data, iris.target\n",
"\n",
"# create the model\n",
"knn = neighbors.KNeighborsClassifier(n_neighbors=2)\n",
"\n",
"# fit the model\n",
"knn.fit(X, y)\n",
"\n",
"# What kind of iris has 3cm x 5cm sepal and 4cm x 2cm petal?\n",
"# call the \"predict\" method:\n",
"result = knn.predict([[3, 5, 4, 2],])\n",
"\n",
"print(iris.target_names[result])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"['versicolor']\n"
]
}
],
"prompt_number": 14
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<a id='ols'></a>\n",
"**Ordinary Least Squares(OLS)**\n",
"\n",
"OLS fits a linear model by evaluating the coefficients $\\alpha= (\\alpha_1,\\alpha_2,...\\alpha_n)$ to minimize the residual sum of squares between the observed responses in the dataset, and the responses predicted by the linear approximation. Mathematically it solves a problem of the form:\n",
"$$\\min_{\\alpha} {\\|{X\\alpha - y}} \\| \\text{.}$$"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn import linear_model\n",
"clf = linear_model.LinearRegression()\n",
"clf.fit ([[0, 0], [1, 1], [2, 2]], [0, 1, 2])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 15,
"text": [
"LinearRegression(copy_X=True, fit_intercept=True, normalize=False)"
]
}
],
"prompt_number": 15
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"clf.coef_"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 16,
"text": [
"array([ 0.5, 0.5])"
]
}
],
"prompt_number": 16
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Create some simple data\n",
"import numpy as np\n",
"np.random.seed(0)\n",
"X = np.random.random(size=(20, 1))\n",
"y = 3 * X.squeeze() + 2 + np.random.normal(size=20)\n",
"\n",
"# Fit a linear regression to it\n",
"model = LinearRegression(fit_intercept=True)\n",
"model.fit(X, y)\n",
"print (\"Model coefficient: %.5f, and intercept: %.5f\"\n",
" % (model.coef_, model.intercept_))\n",
"\n",
"# Plot the data and the model prediction\n",
"X_test = np.linspace(0, 1, 100)[:, np.newaxis]\n",
"y_test = model.predict(X_test)\n",
"\n",
"plt.plot(X.squeeze(), y, 'x')\n",
"plt.plot(X_test.squeeze(), y_test);\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Model coefficient: 3.93491, and intercept: 1.46229\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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sFgueeuop6PV6zJkzR/r8hg0bpL9zY1/f13SvyS6kLzReQMbkDBh1RrxT8A7LlBINoP/G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\nSEMY2kREGvL/cIfw/BtopVsAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10e7d98d0>"
]
}
],
"prompt_number": 17
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The model has been learned from the training data, and can be used to predict the result of test data: here, we might be given an x-value, and the model would allow us to predict the y value."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<a id='svm'></a>\n",
"**Support Vector Machines (SVM)**\n",
"\n",
"Support vector machines (SVMs) are a set of supervised learning methods used for classification, regression and outliers detection.\n",
"\n",
"They are particularly advantageous in the following situations :\n",
"\n",
"- High dimensional spaces\n",
"- Number of dimensions greater than the number of samples\n",
"- Memory efficient\n",
"- Versatile\n",
"\n",
"The support vector machines in `scikit-learn` support both dense (`numpy.ndarray`) and sparse (any `scipy.sparse`) sample vectors as input. However, to use an SVM to make predictions for sparse data, it must have been fit on such data. \n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn import svm\n",
"clf = svm.LinearSVC()\n",
"clf.fit(iris.data, iris.target) #learn from the data"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 18,
"text": [
"LinearSVC(C=1.0, class_weight=None, dual=True, fit_intercept=True,\n",
" intercept_scaling=1, loss='l2', multi_class='ovr', penalty='l2',\n",
" random_state=None, tol=0.0001, verbose=0)"
]
}
],
"prompt_number": 18
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"clf.predict([[ 5.0, 3.6, 1.3, 0.25]])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 19,
"text": [
"array([0])"
]
}
],
"prompt_number": 19
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"clf.coef_ #Access the coefficients"
],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn import svm\n",
"svc = svm.SVC(kernel='linear')\n",
"svc=svc.fit(iris.data, iris.target)\n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 20
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"svc.coef_"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 21,
"text": [
"array([[-0.04625854, 0.5211828 , -1.00304462, -0.46412978],\n",
" [-0.00722313, 0.17894121, -0.53836459, -0.29239263],\n",
" [ 0.59549776, 0.9739003 , -2.03099958, -2.00630267]])"
]
}
],
"prompt_number": 21
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print(__doc__)\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from sklearn import svm, datasets\n",
"\n",
"# import some data to play with\n",
"iris = datasets.load_iris()\n",
"X = iris.data[:, :2] # we only take the first two features. We could\n",
" # avoid this ugly slicing by using a two-dim dataset\n",
"y = iris.target\n",
"\n",
"h = .02 # step size in the mesh\n",
"\n",
"# we create an instance of SVM and fit out data. We do not scale our\n",
"# data since we want to plot the support vectors\n",
"C = 1.0 # SVM regularization parameter\n",
"svc = svm.SVC(kernel='linear', C=C).fit(X, y)\n",
"rbf_svc = svm.SVC(kernel='rbf', gamma=0.7, C=C).fit(X, y)\n",
"poly_svc = svm.SVC(kernel='poly', degree=3, C=C).fit(X, y)\n",
"lin_svc = svm.LinearSVC(C=C).fit(X, y)\n",
"\n",
"# create a mesh to plot in\n",
"x_min, x_max = X[:, 0].min() - 1, X[:, 0].max() + 1\n",
"y_min, y_max = X[:, 1].min() - 1, X[:, 1].max() + 1\n",
"xx, yy = np.meshgrid(np.arange(x_min, x_max, h),\n",
" np.arange(y_min, y_max, h))\n",
"\n",
"# title for the plots\n",
"titles = ['SVC with linear kernel',\n",
" 'LinearSVC (linear kernel)',\n",
" 'SVC with RBF kernel',\n",
" 'SVC with polynomial (degree 3) kernel']\n",
"\n",
"mpl.rcParams['figure.figsize']=[12,12]\n",
"for i, clf in enumerate((svc, lin_svc, rbf_svc, poly_svc)):\n",
" # Plot the decision boundary. For that, we will assign a color to each\n",
" # point in the mesh [x_min, m_max]x[y_min, y_max].\n",
" plt.subplot(2, 2, i + 1)\n",
" plt.subplots_adjust(wspace=0.4, hspace=0.4)\n",
"\n",
" Z = clf.predict(np.c_[xx.ravel(), yy.ravel()])\n",
"\n",
" # Put the result into a color plot\n",
" Z = Z.reshape(xx.shape)\n",
" plt.contourf(xx, yy, Z, cmap=plt.cm.Paired, alpha=0.8)\n",
"\n",
" # Plot also the training points\n",
" plt.scatter(X[:, 0], X[:, 1], c=y, cmap=plt.cm.Paired)\n",
" plt.xlabel('Sepal length')\n",
" plt.ylabel('Sepal width')\n",
" plt.xlim(xx.min(), xx.max())\n",
" plt.ylim(yy.min(), yy.max())\n",
" plt.xticks(())\n",
" plt.yticks(())\n",
" plt.title(titles[i])\n",
"\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Automatically created module for IPython interactive environment\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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o0CHNLFhaWhpHjhyhR48eWsurXbs25ubmRZ6GV6vVmmfn0KFD+e6779i+fTvp6ek8evSI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\nha1fTcoRVqt1V05uXc7Nk/u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My+dn4WpthruDJUdvJRYrP1G6ZIOacZC2wbCizx5j+/x3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\nYGB/07ZSsXG9vXk1GNjftU6tI2NtLmMYMmQIsrK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ntuXW4h+PzcZ7H2/DqCA/RPp74dPs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\n",
"text": [
"<matplotlib.figure.Figure at 0x10e7f7790>"
]
}
],
"prompt_number": 22
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"<a id='unsuper'></a>\n",
"###Unsupervised learning\n",
"\n",
"In the case of unsupervised learning, the idea is to find a hidden pattern in the data. In a sense, you can think of unsupervised learning as a means of discovering labels from the data itself. Unsupervised learning comprises tasks such as dimensionality reduction, clustering, and density estimation. \n",
"Approaches to unsupervised learning are supported in `scikit-learn` such as:\n",
"\n",
"- K-means clustering\n",
"- Principal Component Analysis\n",
"- Neural networks"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<a id='kmeans'></a>\n",
"### K-means Clustering\n",
"Clustering is the task of grouping a set of objects together such as they are similar to one another in some way. The simplest clustering algorithm is k-means. This divides a set into k clusters, assigning each observation to a cluster so as to minimize the distance of that observation (in n-dimensional space) to the cluster\u2019s mean; the means are then recomputed. This operation is run iteratively until the clusters converge, for a maximum for max_iter rounds."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print(__doc__)\n",
"\n",
"\n",
"# Code source: Ga\u00ebl Varoquaux\n",
"# Modified for documentation by Jaques Grobler\n",
"# License: BSD 3 clause\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"\n",
"\n",
"from sklearn.cluster import KMeans\n",
"from sklearn import datasets\n",
"\n",
"np.random.seed(5)\n",
"\n",
"centers = [[1, 1], [-1, -1], [1, -1]]\n",
"iris = datasets.load_iris()\n",
"X = iris.data\n",
"y = iris.target\n",
"\n",
"estimators = {'k_means_iris_3': KMeans(n_clusters=3),\n",
" 'k_means_iris_8': KMeans(n_clusters=8),\n",
" 'k_means_iris_bad_init': KMeans(n_clusters=3, n_init=1,\n",
" init='random')}\n",
"\n",
"\n",
"fignum = 1\n",
"for name, est in estimators.items():\n",
" fig = plt.figure(fignum, figsize=(4, 3))\n",
" plt.clf()\n",
" ax = Axes3D(fig, rect=[0, 0, .95, 1], elev=48, azim=134)\n",
"\n",
" plt.cla()\n",
" est.fit(X)\n",
" labels = est.labels_\n",
"\n",
" ax.scatter(X[:, 3], X[:, 0], X[:, 2], c=labels.astype(np.float))\n",
"\n",
" ax.w_xaxis.set_ticklabels([])\n",
" ax.w_yaxis.set_ticklabels([])\n",
" ax.w_zaxis.set_ticklabels([])\n",
" ax.set_xlabel('Petal width')\n",
" ax.set_ylabel('Sepal length')\n",
" ax.set_zlabel('Petal length')\n",
" fignum = fignum + 1\n",
"\n",
"# Plot the ground truth\n",
"fig = plt.figure(fignum, figsize=(4, 3))\n",
"plt.clf()\n",
"ax = Axes3D(fig, rect=[0, 0, .95, 1], elev=48, azim=134)\n",
"\n",
"plt.cla()\n",
"\n",
"for name, label in [('Setosa', 0),\n",
" ('Versicolour', 1),\n",
" ('Virginica', 2)]:\n",
" ax.text3D(X[y == label, 3].mean(),\n",
" X[y == label, 0].mean() + 1.5,\n",
" X[y == label, 2].mean(), name,\n",
" horizontalalignment='center',\n",
" bbox=dict(alpha=.5, edgecolor='w', facecolor='w'))\n",
"# Reorder the labels to have colors matching the cluster results\n",
"y = np.choose(y, [1, 2, 0]).astype(np.float)\n",
"ax.scatter(X[:, 3], X[:, 0], X[:, 2], c=y)\n",
"\n",
"ax.w_xaxis.set_ticklabels([])\n",
"ax.w_yaxis.set_ticklabels([])\n",
"ax.w_zaxis.set_ticklabels([])\n",
"ax.set_xlabel('Petal width')\n",
"ax.set_ylabel('Sepal length')\n",
"ax.set_zlabel('Petal length')\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Automatically created module for IPython interactive environment\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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8rOrGfjHGR2x05CrOCWqPHU4kEvD7/YrKGJLtllIqZzKESpvIk+dDBkurXkfKY3K73aoX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"text": [
"<matplotlib.figure.Figure at 0x10e7dd990>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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Alg+2oKGmEbs+3YnseBb69Okjy5BJZSepXaxUmYWcsIetzZLrUaVai7wz4ERt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xAAAG\ne0lEQVRJ1KlTJ2ratCmdPXuWMzx842WFZliNj8goLy+nmJgYcnFxoZ07dxJRVVOju7s7TZ06lWJi\nYujll18mX19f6tixI/n4+JC/vz+1adOGiKpOzkuXLtXqnvPz82nQoEGUk5NDREQ7duwgNzc36tWr\nF6Wnp5NCoeA8lNzcXLONEP96eXl5dPLkSQoKCiJXV1caM2ZMrd47Q2VlZbUkcUlJCXl5eZGzszN9\n//33RES0YcMGkkgklJaWRgMHDqTWrVuTVCqloUOHWmTPdR1W41ML6N+/P3l4eBBRVeg1duxYunz5\nMhER+fv7U4MGDWjHjh2UkpJCDRs2pOXLl1tyu0REpFKpaMyYMeTs7EyffvopKZVKrmPe0KqVrnCL\neVIXLlwgb29vCgkJoeHDh5ONjQ2NGjWqVu+VHybdvHmTfv/9dyIi2rhxIzk6OtKsWbMoMzOTiIha\ntmxJI0eOpLKyMvrjjz9o37593Get3o5xsBqfGkZJSQm1bduWyxcEBgZWMy5SqZR69+5Nqamp5Orq\nSvw0XE5ODs2ePbvW98zHzZs3KTAwkHx8fOjs2bMGyWro83by8/OpsLCQxo0bR3K5nFavXs2td/v2\nbTp79myt3JuwBD527FiSy+XUv39/6tGjB2VnZ1O/fv3opZdeolWrVhERUWhoKH3++efVPldeXl7N\na7LCMFiNTy0iOzub/P39affu3URE1L17d3J3dyeFQkFERADIx8eHGjZsSKdOnaJhw4aRg4ODJbdM\nRFXcoFWrVpGLiwu9/vrrlJub+0zoZIy3c/r0afL09KQuXbrQ48ePLXJPXbt2pQEDBlBSUhIRVYW7\nAwcOpLKyMho+fDjJZDJatWoVPXz4kBo3bkzOzs4UGBhILi4udOHCBYvs+UWD1fjUEphrHxkZSXK5\nnFq1akUAaNGiRURE1LRpUwoMDCQiot9//53OnDlDbm5utGDBgmeuYSkolUoaMmQIubq60qpVq6ig\noIATD9MUiikUimoVs8LCQi6Bu2nTJovcw++//05ubm7k4+NDMTExXJ5r5cqV5O/vT+3atSNXV1cu\nz0NEtHbtWnJxcaE5c+Zw/87S38WLAKvxsQBOnjxJwcHBFBISQkRVlTAbGxvuRSCqMkYymYyCgoKo\nR48eltqqRsTHx1OzZs2oVatWdOPGjWpM6EePHpFCoeAqWUxF8cSJE9SoUSPq2bMn5+lZApGRkRoT\nxCUlJeTo6EjNmjXj/t2vv/7KVbc6d+5MrVu3prS0NGtuRyRYjY8FkZqaSkREHTt2rJZkXbx4MUml\nUtq6dSspFApycXGh//znP5bapkao1WpatGgRV34uKCio1qaRnp5OT548IYVCQcOHDydXV1f65Zdf\nLL1tCg8PJ19fXyIimjhxIs2dO5eGDx9Op06doqVLl5K9vT0tWrSIwsPDSSaTUXR0NBFV5b78/f0p\nISHBgrt/sWA1Ps8Bpk6dSk5OTrRy5UpKS0sjd3d3zhhduXKFPD096cCBAxbepWbk5uZSz549qUGD\nBhQREUGDBw+mzMxMGj16NA0YMIBcXV2pX79+VFRUZOmtEhHRkSNHqFmzZiSRSKhhw4bUvHlzatKk\nCTVr1oySkpLonXfeofDwcAoNDaVDhw5ZersvNOqfiMhziLVr16J9+/awsbHBxIkTQUT4+eefAQDf\nffcdmjdv/tx2QHt4eGD27NkYNWoUzpw5g7Zt26KgoAAKhQL37t1DYWEhAgICan1cjTYMHjwY58+f\nx+nTpzFgwAA4ODggMzMTYWFhuHfvHtasWVPt7/ld7FaIC+sTfU4wefJkTJo0Cc2bN+f0gDZv3oxr\n167Bz88PgwcPtvAONYONmh4xYgQyMjLQpk0btG7dGmVlZUhMTMTmzZuxd+9eJCcnW3qrHFq0aIHR\no0fDy8sLbm5uePDgAYqKip7RJ2KyF1bDUzOwNpY+p8jLy8Nbb72FR48eYe3atRYVRNcHoWRsfn4+\n3N3dLbgj/cjLy8ONGzewcOFCXL16FaNGjcLGjRstva16BWvY9ZyiYcOGmDFjBv7666/n2vAAzwrH\nP++GB6gapRMbG4tHjx4hLi4O3bp1A1D72tv1GVbPx4p6Czaihv2zNbdTu7AaHyvqPerj5IjnAVbj\nY4UVVlgEVh/TCiussAisxscKK6ywCKzGxworrLAIrMbHCiussAisxscKK6ywCKzGxworrLAIrMbH\nCiussAj+H8OutuPoZiHRAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x10e843f50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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0Bmz9YCsaahqx+9NdyI5noU+fPrIMmVR2ktrFSpVZyAl72NosuR5VqrXIOwNO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"text": [
"<matplotlib.figure.Figure at 0x10e89cf50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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r4nQ6k3pu0CIRqK2t5qOPZgLDicWOxe838/HH0wmFdtKzZ3lCdbTwJc3NzWqV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\n",
"text": [
"<matplotlib.figure.Figure at 0x10f2733d0>"
]
}
],
"prompt_number": 23
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<a id='pca'></a>\n",
"###Principal Component Analysis(PCA)\n",
"PCA is extensively used in reducing dimensionality of data. PCA finds the directions in which the data is not flat and it can reduce the dimensionality of the data by projecting on a subspace. It finds the combination of variables that exhibit the maximum variance.\n",
"\n",
"<img src=\"http://shapeofdata.files.wordpress.com/2013/02/pca22.png\" height=\"500px\" width=\"500px\" title=\"Iris Setosa\" />\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"mpl.rcParams['figure.figsize']=[12,5]\n",
"np.random.seed(1)\n",
"X = np.dot(np.random.random(size=(2, 2)), np.random.normal(size=(2, 200))).T\n",
"plt.plot(X[:, 0], X[:, 1], 'og')\n",
"plt.axis('equal')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 24,
"text": [
"(-3.0, 3.0, -1.0, 1.0)"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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rrX+qXlL8wa9iaUXQIrfhF4br1ltuDbp/vCG8+NJi6TKZht6QuutDCtQMGxUe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\nSUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10e8039d0>"
]
}
],
"prompt_number": 24
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn.decomposition import PCA\n",
"pca = PCA(n_components=2)\n",
"pca.fit(X)\n",
"print(pca.explained_variance_)\n",
"print(pca.components_)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[ 0.75871884 0.01838551]\n",
"[[ 0.94446029 0.32862557]\n",
" [ 0.32862557 -0.94446029]]\n"
]
}
],
"prompt_number": 25
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"mpl.rcParams['figure.figsize']=[12,5]\n",
"plt.plot(X[:, 0], X[:, 1], 'og', alpha=0.3)\n",
"plt.axis('equal')\n",
"for length, vector in zip(pca.explained_variance_, pca.components_):\n",
" v = vector * 3 * np.sqrt(length)\n",
" plt.plot([0, v[0]], [0, v[1]], '-k', lw=3)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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ObA56B3shM8kQPRKNzLRMyMfljmPmwyzrQvuWhMgbkf9vNhEReU1sAZoQJaBT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\nKAQyAAAUAhkAAIovBS0mDezVHGAAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10f287610>"
]
}
],
"prompt_number": 26
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"clf = PCA(0.95) # if we only keep 95% of the variance\n",
"X_trans = clf.fit_transform(X)\n",
"print(X.shape)\n",
"print(X_trans.shape)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"(200, 2)\n",
"(200, 1)\n"
]
}
],
"prompt_number": 27
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"X_new = clf.inverse_transform(X_trans)\n",
"plt.plot(X[:, 0], X[:, 1], 'og', alpha=0.2)\n",
"plt.plot(X_new[:, 0], X_new[:, 1], 'og', alpha=0.8)\n",
"plt.axis('equal');"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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g5R/wzL8/w8GjBwklQphBE3/QjxN36L6hGytiYXrd/mz2DTah2hDhJWH+8GN/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\n1VTVqP2/29V1ZmoP8oMXH1T1lvnf1S5Y70Gg7RJ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"text": [
"<matplotlib.figure.Figure at 0x10e7e9ad0>"
]
}
],
"prompt_number": 28
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"X, y = iris.data, iris.target\n",
"from sklearn.decomposition import PCA\n",
"pca = PCA(n_components=2)\n",
"pca.fit(X)\n",
"X_reduced = pca.transform(X)\n",
"print (\"Reduced dataset shape:\", X_reduced.shape)\n",
"\n",
"import pylab as pl\n",
"mpl.rcParams['figure.figsize']=[12,3]\n",
"pl.scatter(X_reduced[:, 0], X_reduced[:, 1], c=y)\n",
"\n",
"print (\"Meaning of the 2 components:\")\n",
"for component in pca.components_:\n",
" print(\" + \".join(\"%.3f x %s\" % (value, name)\n",
" for value, name in zip(component,\n",
" iris.feature_names)))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Reduced dataset shape: (150, 2)\n",
"Meaning of the 2 components:"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"0.362 x sepal length (cm) + -0.082 x sepal width (cm) + 0.857 x petal length (cm) + 0.359 x petal width (cm)\n",
"-0.657 x sepal length (cm) + -0.730 x sepal width (cm) + 0.176 x petal length (cm) + 0.075 x petal width (cm)\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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oX78+Fy5cQK12QUdHBTxAX38ZKpUBMInsbBOSks7Ro0cfIiLC8h2zoDdnQXhT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\n",
"text": [
"<matplotlib.figure.Figure at 0x10e7c05d0>"
]
}
],
"prompt_number": 29
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"X, y = iris.data, iris.target\n",
"from sklearn.cluster import KMeans\n",
"k_means = KMeans(n_clusters=5, random_state=0) # Fixing the RNG in kmeans\n",
"k_means.fit(X)\n",
"y_pred = k_means.predict(X)\n",
"\n",
"pl.scatter(X_reduced[:, 0], X_reduced[:, 1], c=y_pred);\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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Tw4cPA1C/fn0uXLiARlMZPb0s4AEGBkvIyjIEJpCRYUps7Dm6detFSEhwrmPm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\nKUIFsoiIiIhIESqQRURERESK+D8lnh1urcjfCwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10e818e10>"
]
}
],
"prompt_number": 30
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<a id='ann'></a>\n",
"###Neural Networks\n",
"\n",
"In general Neural Networks or Artificial Neural Networks(ANNs) as they are commonly known, are used both in machine learning and pattern recognition.\n",
"\n",
"For example, a neural network for handwriting recognition is defined by a set of input neurons which may be activated by the pixels of an input image. After being weighted and transformed by a function (determined by the network's designer), the activations of these neurons are then passed on to other neurons. This process is repeated until finally, an output neuron is activated. This determines which character was read.\n",
"\n",
"Typically, the ANN is represented by three layers. The hidden layer's job is to transform the inputs into something that the output layer can use. The output of a neuron is a function of the weighted sum of the inputs plus a bias.\n",
"\n",
"<img src=\"http://colah.github.io/posts/2014-03-NN-Manifolds-Topology/img/example_network.svg\" height=\"300px\" width=\"400px\" title=\"Iris Setosa\" />\n",
"\n",
"\n",
"A restricted Boltzmann machine (RBM) is a generative stochastic artificial neural network that can learn a probability distribution over its set of inputs. This is the example of unsupervised learning which is supported by `scikit-learn`."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"<a id='realworld'></a>\n",
"##Some Real World Examples\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"<a id='colorspace'></a>\n",
"### Color-Space Segmentation Using K-Means Clustering\n",
"\n",
"Color is an extremely sophisticated notion. It unifies the physical wavelength of light, the biological expression of cell distribution and pigment receptors in the eye, the neurological interpretation of the resulting optic signal, and the psychological factors of culture and perception<sup>[[ref]](https://en.wikipedia.org/wiki/Opponent_process)</sup>. Unsurprisingly, there are a lot of different ways to represent colors. Color spaces represent different colors according to essentially different orthogonal bases. For instance, you\u2019re probably familiar with $RGB$ v. $CMYK$ color spaces.\n",
"\n",
"<table>\n",
"<tr>\n",
"<td><img src=\"https://upload.wikimedia.org/wikipedia/commons/thumb/c/c2/AdditiveColor.svg/240px-AdditiveColor.svg.png\" /></td>\n",
"<td><img src=\"https://upload.wikimedia.org/wikipedia/commons/thumb/1/19/SubtractiveColor.svg/240px-SubtractiveColor.svg.png\" /></td>\n",
"</tr>\n",
"</table>\n",
"\n",
"But there are many others, such as [$Lab$](https://en.wikipedia.org/wiki/Lab_color_space) and [$XYZ$](https://en.wikipedia.org/wiki/CIE_1931_color_space). These color spaces do not necessarily cover the same range of [perceptible colors]() (or [imperceptible ones!](https://en.wikipedia.org/wiki/Impossible_color)), but transformations between spaces [can still be defined](http://www.brucelindbloom.com/Math.html). We will use this below to convert between $RGB$ and $Lab$.\n",
"\n",
"$Lab$ was designed to replicate human vision, and exploits the fact that in a sense there are [four fundamental colors](https://en.wikipedia.org/wiki/Opponent_process) that the human eye can perceive: a red-green axis $a$ and a blue-yellow axis $b$. Adding luminosity $L$ to these chromaticity axes yields a three-parameter color space that is actually more expressive than can be represented by $RGB$ triplets."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"import scipy as sp\n",
"import matplotlib as mpl\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib.cm as cm\n",
"\n",
"from sklearn.feature_extraction import image\n",
"from sklearn.cluster import spectral_clustering\n",
"from sklearn.cluster import KMeans\n",
"%matplotlib inline\n",
"\n",
"from colormath.color_objects import LabColor, sRGBColor\n",
"from colormath.color_conversions import convert_color\n",
"rgbize = np.vectorize(sRGBColor)\n",
"convertize = np.vectorize(convert_color)\n",
"\n",
"# Inspired by an example at http://www.mathworks.com/help/images/examples/color-based-segmentation-using-k-means-clustering.html\n",
"# Read image and convert it from RGB to Lab representation.\n",
"from pylab import imread, imshow, gray, mean\n",
"sat_rgb = imread('satellite.png')\n",
"plt.figure()\n",
"plt.xticks([])\n",
"plt.yticks([])\n",
"imshow(sat_rgb)\n",
"sat_rgb_cs = rgbize(sat_rgb[:,:,0],sat_rgb[:,:,1],sat_rgb[:,:,2])\n",
"sat_lab_cs = convertize(sat_rgb_cs, LabColor)\n",
"\n",
"sat_lab = np.ones((sat_lab_cs.shape[0], sat_lab_cs.shape[1], 4))\n",
"for i in range(sat_lab_cs.shape[0]):\n",
" for j in range(sat_lab_cs.shape[1]):\n",
" sat_lab[i,j,0] = sat_lab_cs[i,j].lab_l/200+100 #rgb_r\n",
" sat_lab[i,j,1] = sat_lab_cs[i,j].lab_a/200+100 #rgb_g\n",
" sat_lab[i,j,2] = sat_lab_cs[i,j].lab_b/200+100 #rgb_b"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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F1HAhHo0YLdeLSeOoa4Li6WNAnXKxm1pn5BqgFr0iCu99fMX/9k++hS8/2A77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\n",
"text": [
"<matplotlib.figure.Figure at 0x10da01e90>"
]
}
],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"mpl.rcParams['figure.figsize']=(15,3)\n",
"\n",
"# Full-color image\n",
"plt.figure()\n",
"plt.subplot(1,4,1)\n",
"plt.xticks([])\n",
"plt.yticks([])\n",
"plt.xlabel(r'$RGB$ Full-Color Image')\n",
"imshow(sat_rgb)\n",
"\n",
"# Red channel\n",
"cdict = {'red': ((0.0, 0.0, 0.0),\n",
" (1.0, 1.0, 1.0)),\n",
" 'green': ((0.0, 0.0, 0.0),\n",
" (1.0, 0.0, 0.0)),\n",
" 'blue': ((0.0, 0.0, 0.0),\n",
" (1.0, 0.0, 0.0))}\n",
"BkRd = mpl.colors.LinearSegmentedColormap('BkRd',cdict,256)\n",
"plt.subplot(1,4,2)\n",
"plt.xticks([])\n",
"plt.yticks([])\n",
"plt.xlabel(r'$R$')\n",
"imshow(sat_rgb[:,:,0], cmap = BkRd)\n",
"\n",
"# Green channel\n",
"cdict = {'red': ((0.0, 0.0, 0.0),\n",
" (1.0, 0.0, 0.0)),\n",
" 'green': ((0.0, 0.0, 0.0),\n",
" (1.0, 1.0, 1.0)),\n",
" 'blue': ((0.0, 0.0, 0.0),\n",
" (1.0, 0.0, 0.0))}\n",
"BkGn = mpl.colors.LinearSegmentedColormap('BkGn',cdict,256)\n",
"plt.subplot(1,4,3)\n",
"plt.xticks([])\n",
"plt.yticks([])\n",
"plt.xlabel(r'$G$')\n",
"imshow(sat_rgb[:,:,1], cmap = BkGn)\n",
"\n",
"# Blue Channel\n",
"cdict = {'red': ((0.0, 0.0, 0.0),\n",
" (1.0, 0.0, 0.0)),\n",
" 'green': ((0.0, 0.0, 0.0),\n",
" (1.0, 0.0, 0.0)),\n",
" 'blue': ((0.0, 0.0, 0.0),\n",
" (1.0, 1.0, 1.0))}\n",
"BkBl = mpl.colors.LinearSegmentedColormap('BkBl',cdict,256)\n",
"plt.subplot(1,4,4)\n",
"plt.xticks([])\n",
"plt.yticks([])\n",
"plt.xlabel(r'$B$')\n",
"imshow(sat_rgb[:,:,2], cmap = BkBl)\n",
"\n",
"# Composite Lab image as RGB\n",
"plt.figure()\n",
"plt.subplot(1,4,1)\n",
"plt.xticks([])\n",
"plt.yticks([])\n",
"plt.xlabel(r'Composite $Lab$ as $RGB$')\n",
"imshow(sat_lab, origin='lower')\n",
"\n",
"# L - luminosity\n",
"plt.subplot(1,4,2)\n",
"plt.xticks([])\n",
"plt.yticks([])\n",
"plt.xlabel(r'$L$')\n",
"imshow(sat_lab[:,:,0], cmap = cm.Greys_r)\n",
"\n",
"# a - red-green axis\n",
"cdict = {'red': ((0.0, 0.0, 0.0),\n",
" (1.0, 1.0, 1.0)),\n",
" 'green': ((0.0, 1.0, 1.0),\n",
" (1.0, 0.0, 0.0)),\n",
" 'blue': ((0.0, 0.0, 0.0),\n",
" (1.0, 0.0, 0.0))}\n",
"RdGr = mpl.colors.LinearSegmentedColormap('RdGr',cdict,256)\n",
"plt.subplot(1,4,3)\n",
"plt.xticks([])\n",
"plt.yticks([])\n",
"plt.xlabel(r'$a$')\n",
"imshow(sat_lab[:,:,1], cmap = RdGr)\n",
"\n",
"# b - blue-yellow axis\n",
"cdict = {'red': ((0.0, 0.0, 0.0),\n",
" (1.0, 1.0, 1.0)),\n",
" 'green': ((0.0, 0.0, 0.0),\n",
" (1.0, 1.0, 1.0)),\n",
" 'blue': ((0.0, 1.0, 1.0),\n",
" (1.0, 0.0, 0.0))}\n",
"BlYw = mpl.colors.LinearSegmentedColormap('BlYw',cdict,256)\n",
"plt.subplot(1,4,4)\n",
"plt.xticks([])\n",
"plt.yticks([])\n",
"plt.xlabel(r'$b$')\n",
"imshow(sat_lab[:,:,2], cmap = BlYw)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 3,
"text": [
"<matplotlib.image.AxesImage at 0x11272a050>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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tLKvTgePVhqoqme007EwbXN8RekthPF3f4xmYzyaUhcV5MNbS1CXOxwIKB/Oa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oiYx89hxUTVADXF+mBXq989jystfATLbn4Ol/1YxdGmbmX3gANl/Vt+r9oWZTpuBbz7WNZ1nbb1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EA7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