diff --git a/Images/mda_overview.png b/Images/mda_overview.png new file mode 100644 index 0000000..f70be34 Binary files /dev/null and b/Images/mda_overview.png differ diff --git a/tutorials/python_data_entry_point.ipynb b/tutorials/python_data_entry_point.ipynb index b0dea44..bf2ac77 100644 --- a/tutorials/python_data_entry_point.ipynb +++ b/tutorials/python_data_entry_point.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:ac00f18b1255fe2fd96fea78f54cf237c8ebc58fc5f36c9d734b1056494a81a8" + "signature": "sha256:11c7df5b48317dee4e78f1592431823f89b38ea262acb74b420b17dca4440d63" }, "nbformat": 3, "nbformat_minor": 0, @@ -42,7 +42,7 @@ ] } ], - "prompt_number": 4 + "prompt_number": 1 }, { "cell_type": "markdown", @@ -116,6 +116,16 @@ "\n", "- [Feature Scaling](#Feature-Scaling)\n", "\n", + "- [Linear Transformation: Principal Component Analysis (PCA)](#PCA)\n", + "\n", + "- [Linear Transformation: Multiple Discrciminant Analysis (MDA)](#MDA)\n", + "\n", + "- [Simple Supervised Classification](#Simple-Supervised-Classification)\n", + "\n", + " - [Linear Discriminant Analysis as simple linear classifier](#Linear-Discriminant-Analysis-as-simple-linear-classifier)\n", + " \n", + " - [Classification Stochastic Gradient Descent (SGD)](#SGD)\n", + "\n", "- [Saving the processed datasets](#Saving-the-processed-datasets)\n", "\n", " - [Pickle](#Pickle)\n", @@ -206,7 +216,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "For the following tutorial, we will be working with the free \"Wine\" Dataset that is deposited on the UCI machine learning repository (http://archive.ics.uci.edu/ml/datasets/Wine).\n", + "For the following tutorial, we will be working with the free \"Wine\" Dataset that is deposited on the UCI machine learning repository \n", + "(http://archive.ics.uci.edu/ml/datasets/Wine).\n", "\n", "
\n", "\n", @@ -308,7 +319,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 100 + "prompt_number": 2 }, { "cell_type": "markdown", @@ -408,7 +419,7 @@ ] } ], - "prompt_number": 97 + "prompt_number": 3 }, { "cell_type": "markdown", @@ -471,7 +482,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 53 + "prompt_number": 4 }, { "cell_type": "code", @@ -516,13 +527,13 @@ { "metadata": {}, "output_type": "display_data", - "png": 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11Ve1detWSX9liTvuuEP+/v6l+k6YMEF9+vRR/fr1Vb36XxEoOztb9913n7Kz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\nmP47K8b47ktjY6Pn8caNG012dnaXdaE4Lz3pizH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0SVKDaJ2d3aiXwmidnZ30uhkZGcyaNYsxY8bQtWtXIpEI1113Xa2Advrpp3PX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\nZmb2v/Uv93HY7aGU4uwAAAAASUVORK5CYII=\n", "text": [ - "" + "" ] } ], - "prompt_number": 95 + "prompt_number": 5 }, { "cell_type": "markdown", @@ -569,8 +580,6 @@ "input": [ "from scipy.stats import pearsonr\n", "\n", - "\n", - "\n", "plt.figure(figsize=(10,8))\n", "\n", "for label,marker,color in zip(\n", @@ -600,13 +609,13 @@ { "metadata": {}, "output_type": "display_data", - "png": 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HmTt3bqnnqioKWiIiUi+1aAHt25973KsXVPQLd08+eW64MCzM3rtVkXOYzWZWrVrFoUOH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2mYHrn/888xwuFyQnm/vXw/Hjx7n99tuJiYkhOjqaRx99tNr9xo4dS2xsLOHh4fTr148N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ls25A/wkwG/etUSazSqHcIpWMkX4zKqA8z6vCWc4m2qksTOaSrXAy5VZGIhFE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\nxYsXlf3P9evXk52dzeLFi2udBWtJn37j4uJwdHTE3d3d2ENplNq2bUtwc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FrigKgsEgAKRs1g3oPwFm4741ymRWKZRbpJIx0m9GBZTneVU4y9lEO5WFyVyy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\nx47hgQceQHV1NRo3bozVq1cDSDr4yIUkYaoIp9MJk8kkWk84d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h86dEjJwiRXrjdsMmA2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"text": [ - "" + "" ] } ], - "prompt_number": 8 + "prompt_number": 7 }, { "cell_type": "markdown", @@ -712,7 +721,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 102 + "prompt_number": 8 }, { "cell_type": "markdown", @@ -756,7 +765,7 @@ ] } ], - "prompt_number": 106 + "prompt_number": 9 }, { "cell_type": "markdown", @@ -805,13 +814,12 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 107 + "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ - "\n", "f, ax = plt.subplots(1, 2, sharex=True, sharey=True, figsize=(10,5))\n", "\n", "for a,x_dat, y_lab in zip(ax, (X_train, X_test), (y_train, y_test)):\n", @@ -842,13 +850,522 @@ { "metadata": {}, "output_type": "display_data", - "png": 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2FTNizQhS81MdHYpdVVf9JQmZEHb0+fbP2Xt2b5nbLMrCp9s/ZcnhJcSlxZV7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pHEzrr/nqZJK/hM+QHOZejclh0mUphBBCCGEwKciEEEIIIQwmBZkQQgghhMGkIBNCCCGE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\nZMZwpCIX752WgszVX6Pth5OxbBmwfDlb+nz9tefHJOfkUJc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"text": [ - "" + "" ] } ], - "prompt_number": 108 + "prompt_number": 11 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "
\n", + "
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Linear Transformation: Principal Component Analysis (PCA)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[[back to top]](#Sections)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The main purposes of a principal component analysis are the analysis of data to identify patterns and finding patterns to reduce the dimensions of the dataset with minimal loss of information.\n", + "\n", + "Here, our desired outcome of the principal component analysis is to project a feature space (our dataset consisting of n x d-dimensional samples) onto a smaller subspace that represents our data \"well\". A possible application would be a pattern classification task, where we want to reduce the computational costs and the error of parameter estimation by reducing the number of dimensions of our feature space by extracting a subspace that describes our data \"best\".\n", + "\n", + "If you are interested in the Principal Component Analysis in more detail, I have outlined the procedure in a separate article \n", + "[\"Implementing a Principal Component Analysis (PCA) in Python step by step](http://sebastianraschka.com/Articles/2014_pca_step_by_step.html)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here, we will use the [`sklearn.decomposition.PCA`](http://scikit-learn.org/stable/modules/generated/sklearn.decomposition.PCA.html) to transform our training data onto 2 dimensional subspace:" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from sklearn.decomposition import PCA\n", + "sklearn_pca = PCA(n_components=2)\n", + "sklearn_transf = sklearn_pca.fit_transform(X_train)\n", + "\n", + "plt.figure(figsize=(10,8))\n", + "\n", + "for label,marker,color in zip(\n", + " range(1,4),('x', 'o', '^'),('blue', 'red', 'green')):\n", + "\n", + "\n", + " plt.scatter(x=sklearn_transf[:,0][y_train == label],\n", + " y=sklearn_transf[:,1][y_train == label], \n", + " marker=marker, \n", + " color=color,\n", + " alpha=0.7, \n", + " label='class {}'.format(label)\n", + " )\n", + "\n", + "plt.xlabel('vector 1')\n", + "plt.ylabel('vector 2')\n", + "\n", + "plt.legend()\n", + "plt.title('Most significant singular vectors after linear transformation via PCA')\n", + "\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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bfbr0CSiG008/nZ49e3Lbbbdx991343Q6+e677w5qbiwqKiIyMpKUlBTKy8t5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\nSIDt28Mb0/9v787D4yzLxY9/k7SBpFu6ktKCFBD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\n", + "
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Linear Transformation: Multiple Discrciminant Analysis (MDA)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[[back to top]](#Sections)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The main purposes of a Multiple Discriminant Analysis is to analyze the data to identify patterns to project it onto a subspace that yields a better separation of the classes. Also, the dimensionality of the dataset shall be reduced with minimal loss of information.\n", + "\n", + "**The approach is very similar to a Principal Component Analysis (PCA), but in addition to finding the component axes that maximize the variance of our data, we are additionally interested in the axes that maximize the separation of our classes (e.g., in a supervised pattern classification problem)**\n", + "\n", + "Here, our desired outcome of the multiple discriminant analysis is to project a feature space (our dataset consisting of n d-dimensional samples) onto a smaller subspace that represents our data \"well\" and has a good class separation. A possible application would be a pattern classification task, where we want to reduce the computational costs and the error of parameter estimation by reducing the number of dimensions of our feature space by extracting a subspace that describes our data \"best\"." + ] + }, + { + "cell_type": "heading", + "level": 4, + "metadata": {}, + "source": [ + "Principal Component Analysis (PCA) Vs. Multiple Discriminant Analysis (MDA)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Both Multiple Discriminant Analysis (MDA) and Principal Component Analysis (PCA) are linear transformation methods and closely related to each other. In PCA, we are interested to find the directions (components) that maximize the variance in our dataset, where in MDA, we are additionally interested to find the directions that maximize the separation (or discrimination) between different classes (for example, in pattern classification problems where our dataset consists of multiple classes. In contrast two PCA, which ignores the class labels).\n", + "\n", + "**In other words, via PCA, we are projecting the entire set of data (without class labels) onto a different subspace, and in MDA, we are trying to determine a suitable subspace to distinguish between patterns that belong to different classes. Or, roughly speaking in PCA we are trying to find the axes with maximum variances where the data is most spread (within a class, since PCA treats the whole data set as one class), and in MDA we are additionally maximizing the spread between classes.**\n", + "\n", + "In typical pattern recognition problems, a PCA is often followed by an MDA." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "![](../Images/mda_overview.png)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If you are interested, you can find more information about the MDA in my IPython notebook \n", + "[Stepping through a Multiple Discriminant Analysis - using Python's NumPy and matplotlib](http://nbviewer.ipython.org/github/rasbt/pattern_classification/blob/master/dimensionality_reduction/projection/multiple_discriminant_analysis.ipynb?create=1)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Like we did in the PCA section above, we will use a `scikit-learn` funcion, [`sklearn.lda.LDA`](http://scikit-learn.org/stable/modules/generated/sklearn.lda.LDA.html) in order to transform our training data onto 2 dimensional subspace, where MDA is basically the more generalized form of an LDA (Linear Discriminant Analysis):" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from sklearn.lda import LDA\n", + "sklearn_lda = LDA(n_components=2)\n", + "sklearn_transf = sklearn_lda.fit_transform(X_train, y_train)\n", + "\n", + "plt.figure(figsize=(10,8))\n", + "\n", + "for label,marker,color in zip(\n", + " range(1,4),('x', 'o', '^'),('blue', 'red', 'green')):\n", + "\n", + "\n", + " plt.scatter(x=sklearn_transf[:,0][y_train == label],\n", + " y=sklearn_transf[:,1][y_train == label], \n", + " marker=marker, \n", + " color=color,\n", + " alpha=0.7, \n", + " label='class {}'.format(label)\n", + " )\n", + "\n", + "plt.xlabel('vector 1')\n", + "plt.ylabel('vector 2')\n", + "\n", + "plt.legend()\n", + "plt.title('Most significant singular vectors after linear transformation via LDA')\n", + "\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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NdX+v5joBMjIyQh1CSOh5ty563q2Lnnfr0lqfd0OEwyCBhnB72nRFREREwprD4YB65lyh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\nSyjrP0HmlQIq2o0weKhcpt/XihLAeGAK8MuIY6lvnQnlP5KPnSOMpb5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+ "text": [ + "" + ] + } + ], + "prompt_number": 13 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "
\n", + "
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "
\n", + "
" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Simple Supervised Classification" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[[back to top]](#Sections)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "
\n", + "
" + ] + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Linear Discriminant Analysis as simple linear classifier" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[[back to top]](#Sections)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The LDA that we've just used in the section above can also be used as a simple linear classifier." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# fit model\n", + "lda_clf = LDA()\n", + "lda_clf.fit(X_train, y_train)\n", + "LDA(n_components=None, priors=None)\n", + "\n", + "# prediction\n", + "print('1st sample from test dataset classified as:', lda_clf.predict(X_test[0,:]))\n", + "print('actual class label:', y_test[0])" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "1st sample from test dataset classified as: [3]\n", + "actual class label: 3\n" + ] + } + ], + "prompt_number": 14 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Another handy subpackage of sklearn is `metrics`. The [`metrics.accuracy_score`](http://scikit-learn.org/stable/modules/generated/sklearn.metrics.accuracy_score.html), for example, is quite useful to evaluate how many samples can be classified correctly:" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from sklearn import metrics\n", + "pred_train = lda_clf.predict(X_train)\n", + "\n", + "print('Prediction accuracy for the training dataset')\n", + "print('{:.2%}'.format(metrics.accuracy_score(y_train, pred_train)))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Prediction accuracy for the training dataset\n", + "100.00%\n" + ] + } + ], + "prompt_number": 15 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To verify that over model was not overfitted to the training dataset, let us evaluate the classifier's accuracy on the test dataset:" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "pred_test = lda_clf.predict(X_test)\n", + "\n", + "print('Prediction accuracy for the test dataset')\n", + "print('{:.2%}'.format(metrics.accuracy_score(y_test, pred_test)))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Prediction accuracy for the test dataset\n", + "98.15%\n" + ] + } + ], + "prompt_number": 16 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "
\n", + "
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Confusion Matrix** \n", + "As we can see above, there was a very low misclassification rate when we'd apply the classifier on the test data set. A confusion matrix can tell us in more detail which particular classes could not classified correctly.\n", + "\n", + "| | | | **predicted class** | |\n", + "|--------------|---------|----------------|-----------------|---------------|\n", + "| | | class 1 | class 2 | class 3 |\n", + "| | class 1 | True positives | | |\n", + "| **actual class** | class 2 | | True positives | |\n", + "| | class 3 | | | True positive |" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "print('Confusion Matrix of the LDA-classifier')\n", + "print(metrics.confusion_matrix(y_test, lda_clf.predict(X_test)))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Confusion Matrix of the LDA-classifier\n", + "[[14 0 0]\n", + " [ 1 17 0]\n", + " [ 0 0 22]]\n" + ] + } + ], + "prompt_number": 17 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As we can see, one sample from class 2 was incorrectly labeled as class 1, from the perspective of class 1, this would be 1 \"False Negative\" or a \"False Postive\" from the perspective of class 2, respectively" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Classification Stochastic Gradient Descent (SGD)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[[back to top]](#Sections)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let us now compare the classification accuracy of the LDA classifier with a simple classification (we also use the probably not ideal default settings here) via stochastic gradient descent, an algorithm that minimizes a linear objective function. \n", + "More information about the `sklearn.linear_model.SGDClassifier` can be found [here](http://scikit-learn.org/stable/modules/generated/sklearn.linear_model.SGDClassifier.html)." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from sklearn.linear_model import SGDClassifier\n", + "\n", + "sdg_clf = SGDClassifier()\n", + "sdg_clf.fit(X_train, y_train)\n", + "\n", + "pred_train = sdg_clf.predict(X_train)\n", + "pred_test = sdg_clf.predict(X_test)\n", + "\n", + "print('\\nPrediction accuracy for the training dataset')\n", + "print('{:.2%}\\n'.format(metrics.accuracy_score(y_train, pred_train)))\n", + "\n", + "print('Prediction accuracy for the test dataset')\n", + "print('{:.2%}\\n'.format(metrics.accuracy_score(y_test, pred_test)))\n", + "\n", + "print('Confusion Matrix of the SGD-classifier')\n", + "print(metrics.confusion_matrix(y_test, sdg_clf.predict(X_test)))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + "Prediction accuracy for the training dataset\n", + "99.19%\n", + "\n", + "Prediction accuracy for the test dataset\n", + "100.00%\n", + "\n", + "Confusion Matrix of the SGD-classifier\n", + "[[14 0 0]\n", + " [ 0 18 0]\n", + " [ 0 0 22]]\n" + ] + } + ], + "prompt_number": 18 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Quite impressively, we achieved a 100% prediction accuracy on the test dataset without any additional efforts of tweaking any parameters and settings." + ] }, { "cell_type": "markdown", @@ -910,7 +1427,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 113 + "prompt_number": 19 }, { "cell_type": "code", @@ -925,7 +1442,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 114 + "prompt_number": 20 }, { "cell_type": "markdown", @@ -966,7 +1483,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 137 + "prompt_number": 21 }, { "cell_type": "markdown", @@ -985,7 +1502,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 138 + "prompt_number": 22 } ], "metadata": {} diff --git a/tutorials/standardized_data.pkl b/tutorials/standardized_data.pkl new file mode 100644 index 0000000..b81fb23 Binary files /dev/null and b/tutorials/standardized_data.pkl 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