{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Visualizing the Data" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
" ], "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import addutils.toc ; addutils.toc.js(ipy_notebook=True)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import scipy.io\n", "import numpy as np\n", "import pandas as pd\n", "from addutils import css_notebook\n", "css_notebook()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1 Principal Component Analysis (PCA)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before trying any ML technique it is always a good idea to visualize the available data from different point of view but when the dimensionality of the problem is higher, it's difficult to use some that kind of plots and it is necessary to do **dimenionality reduction**.\n", "\n", "We have already seen some simple visualization example made with scatter plot or scatter matrix on the tutorial ml01. In this lesson we're going furter by working with some of the mamy data projection techniques available in scikit-learn.\n", "\n", "In the first example we will consider the *digits* dataset in which we have many 8x8 grayscale images of handwritten digits. In other words, this dataset is made by samples with 64 features\n", "\n", "What we want to do is to obtain a descriptive 2D scatter plot." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ " \n", "\n", "\n", " \n", "\n", "
\n", " \n", " BokehJS successfully loaded.\n", "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import bokeh.plotting as bk\n", "bk.output_notebook()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from sklearn import datasets\n", "digits = datasets.load_digits()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Digits images: 1797\n" ] }, { "data": { "text/html": [ "\n", "
\n", "\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import addutils.imagegrid as ig\n", "from bokeh.palettes import Greys9\n", "\n", "print(\"Digits images: \", digits.images.shape[0])\n", "# print only the first 80 digits images\n", "num_imgs = 80\n", "fig = ig.imagegrid_figure(images=[ digits.images[i][::-1, :] for i in range(num_imgs) ],\n", " text=[ str(digits.target[i]) for i in range(num_imgs) ],\n", " figure_title=None, palette=Greys9[::-1],\n", " figure_plot_width=760, figure_plot_height=600,\n", " text_color='red', padding=0.1,\n", " grid_size=(10, 8))\n", "bk.show(fig)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll start our analysis with Principal Component Analysis (PCA): PCA seeks orthogonal linear combinations of the features which show the greatest variance. In this example we'll use `RandomizedPCA`, because it's faster for large datasets." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import addutils.palette as pal\n", "import seaborn as sns" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "text/html": [ "\n", "
\n", "\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn import decomposition\n", "from bokeh.models.sources import ColumnDataSource\n", "from bokeh.models.tools import HoverTool\n", "\n", "pca = decomposition.RandomizedPCA(copy=True, iterated_power=3, n_components=2, whiten=False)\n", "pca_proj = pca.fit_transform(digits.data)\n", "\n", "colors = list(map(pal.to_hex, sns.color_palette('Paired', 10)))\n", "\n", "pca_df = pd.DataFrame({'x': pca_proj[:,0],\n", " 'y': pca_proj[:,1],\n", " 'color': pal.linear_map(digits.target, colors),\n", " 'target': digits.target})\n", "pca_src = ColumnDataSource(data=pca_df)\n", "\n", "\n", "fig = bk.figure(title='PCA Projection - digits dataset',\n", " x_axis_label='c1', y_axis_label='c2',\n", " plot_width=750, plot_height=560)\n", "fig.scatter(source=pca_src, x='x', y='y',\n", " size=10, fill_alpha=0.9, line_alpha=0.5, line_color='black',\n", " fill_color='color')\n", "\n", "hover_tool = HoverTool(tooltips=[(\"target\", \"@target\"),\n", " (\"color\", \"$color[swatch]:color\")])\n", "fig.add_tools(hover_tool)\n", "\n", "bk.show(fig)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can notice some structure in this data but it's still difficult to understand if it would be possible to effectively apply some classification algorithm since the different data clusters do not show enough separation." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2 Linear Discriminant Analysis (LDA)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Principal Component Analysis (PCA) identifies the combination of attributes that account for the most variance in the data.\n", "\n", "Linear Discriminant Analysis (LDA) instead tries to identify attributes that account for the most variance between classes. In particular, LDA, in contrast to PCA, is a supervised method, and can be used just when the class labels are available.\n", "\n", "Let's see an LDA on the same Dataset:\n", "\n", "**TODO -** Remove the warning" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "
\n", "\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import warnings\n", "warnings.filterwarnings('ignore', message='Variables are collinear')\n", "\n", "from sklearn import lda\n", "lda = lda.LDA(n_components=2)\n", "lda_proj = lda.fit(digits.data, digits.target).transform(digits.data)\n", "\n", "lda_df = pd.DataFrame({ 'x': lda_proj[:,0],\n", " 'y': lda_proj[:,1],\n", " 'color': pal.linear_map(digits.target, colors),\n", " 'target': digits.target })\n", "lda_src = ColumnDataSource(data=lda_df)\n", "\n", "fig = bk.figure(title='LDA Projection - digits dataset', \n", " x_axis_label='c1', y_axis_label='c2',\n", " plot_width=750, plot_height=500)\n", "fig.scatter(source=lda_src, x='x', y='y',\n", " size=8, line_color='black', line_alpha=0.5,\n", " fill_color='color')\n", "\n", "hover_tool = HoverTool(tooltips=[(\"target\", \"@target\"),\n", " (\"color\", \"$color[swatch]:color\")])\n", "fig.add_tools(hover_tool)\n", "\n", "bk.show(fig)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As in the previous example we don't see a clear separation of the different clusters. This is because this specific dataset present some non-linear features that can not be separate by linear projections." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3 Manifold Learning" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The main weakness of the linear techniques seen so far is that they cannot detect non-linear features. A set of algorithms known as *Manifold Learning* have been developed to address this deficiency.\n", "\n", "`Isomap` is a global, nonlinear, nonparametric dimentional reduction algorithm:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "
\n", "\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "warnings.filterwarnings('ignore', message='kneighbors*')\n", "\n", "from sklearn import manifold\n", "\n", "from bokeh.models import GlyphRenderer, Quad, Legend\n", "\n", "fig_grid = []\n", "for i in range(2):\n", " row = []\n", " for j in range(2):\n", " iso = manifold.Isomap(n_neighbors=i+2, n_components=2)\n", " proj = iso.fit_transform(digits.data)\n", " \n", " df = pd.DataFrame({ 'x': proj[:,0], 'y': proj[:,1],\n", " 'color': pal.linear_map(digits.target, colors),\n", " 'target': digits.target })\n", " src = ColumnDataSource(data=df)\n", " \n", " fig = bk.figure(title=\"n_neighbors = %d\" % (i+2),\n", " title_text_font_size='12pt',\n", " plot_width=340, plot_height=300)\n", " fig.scatter(source=src, x='x', y='y', fill_color='color',\n", " size=8, line_alpha=0.5, line_color='black')\n", " \n", " hover_tool = HoverTool(tooltips=[ (\"target\", \"@target\") ])\n", " fig.add_tools(hover_tool)\n", " \n", " row.append(fig)\n", " fig_grid.append(row)\n", "\n", "bk.show(bk.gridplot(fig_grid))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These visualizations show us that there is hope: even a simple classifier should be able to adequately identify the members of the various classes." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3.1 Another example un a specific test dataset: the S-Curve" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A canonical dataset used in Manifold learning is the *S-curve*, which we briefly saw in an earlier section:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAm8AAAHMCAYAAACDVk9VAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nx1d/2CIAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X, y = datasets.make_s_curve(n_samples=1000)\n", "\n", "from mpl_toolkits.mplot3d import Axes3D\n", "fig = plt.figure(figsize=(12,8))\n", "ax = fig.add_subplot(111)\n", "ax = plt.axes(projection='3d')\n", "s = ax.scatter3D(X[:, 0], X[:, 1], X[:, 2], c=y, s=50, marker=\"o\", cmap='GnBu')\n", "fig.colorbar(s)\n", "ax.view_init(10, -60)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is a 2-dimensional dataset embedded in three dimensions, but it is embedded in such a way that PCA cannot discover the underlying data orientation:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "seqcolors = list(map(pal.to_hex, sns.color_palette('GnBu', 50)))" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "
\n", "\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X_pca = decomposition.PCA(n_components=2).fit_transform(X)\n", "\n", "fig = bk.figure(title='PCA Projection - S-Curve',\n", " x_axis_label='c1', y_axis_label='c2', \n", " plot_width=750, plot_height=500)\n", "fig.scatter(X_pca[:, 0], X_pca[:, 1], \n", " size=10, line_color='black', line_alpha=0.5,\n", " fill_color=pal.linear_map(y, seqcolors))\n", "bk.show(fig)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Manifold learning algorithms, however, available in the `sklearn.manifold` submodule, are able to recover the underlying 2-dimensional manifold:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "
\n", "\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "iso = manifold.Isomap(n_neighbors=25, n_components=2)\n", "X_iso = iso.fit_transform(X)\n", "fig = bk.figure(title='Isomap - S-Curve', x_axis_label='c1', y_axis_label='c2',\n", " plot_width=750, plot_height=400)\n", "fig.scatter(X_iso[:, 0], X_iso[:, 1], size=8, alpha=0.8, line_color='black',\n", " fill_color=pal.linear_map(y, seqcolors))\n", "bk.show(fig)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`LocallyLinearEmbedding` (LLE) is a local, nonlinear, nonparametric algorithm. The main idea behind the Local Algorithms is to make the local configurations of points in the low-dimensional space resemble the local configurations in the high-dimensional space." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "
\n", "\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lle = manifold.LocallyLinearEmbedding(n_neighbors=15, n_components=2, method='modified')\n", "X_lle = lle.fit_transform(X)\n", "\n", "fig = bk.figure(title='LocallyLinearEmbedding - S-Curve', x_axis_label='c1', y_axis_label='c2', \n", " plot_width=750, plot_height=400)\n", "fig.scatter(X_lle[:, 0], X_lle[:, 1],\n", " size=10, line_color='black', line_alpha=0.75,\n", " fill_color=pal.linear_map(y, seqcolors))\n", "bk.show(fig)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3.2 Some Tips on Manifold Learning practical use" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Make sure the same scale is used over all features. Because manifold learning methods are based on a nearest-neighbor search, the algorithm may perform poorly otherwise.\n", "* The reconstruction error can be used to choose the optimal output dimension. For a *d-dimensional* manifold embedded in a * D-dimensional* parameter space, the reconstruction error will decrease as n_components is increased until *n_components == d*.\n", "* Noisy data can “short-circuit” the manifold, in essence acting as a bridge between parts of the manifold that would otherwise be well-separated.\n", "* Certain input configurations can lead to singular weight matrices, for example when more than two points in the dataset are identical, or when the data is split into disjointed groups. In this case, solver='arpack' will fail to find the null space. The easiest way to address this is to use solver='dense', though it may be very slow depending on the number of input points." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3.3 t-SNE t-distribuited Stochastic Neighbor Embedding" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`t-SNE` give more importance to local distances and lower importance to non-local distances. In other words, it try to keep closer in the projected space the points that are closer in the original space while neglecting the others.\n", "\n", "Moreover `t-SNE` has a probabilistic way to find pairwise local distances: it converts each high-dimension similarity into the probability that one data point will pick one other data point as its neighbor. This make `t-SNE` almost insensitive to bad feature scaling.\n", "\n", "On th other side, the relative local nature of `t-SNE` makes it sensitive to the course of the dimensionality of the data." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [], "source": [ "tsne = manifold.TSNE(n_components=2, n_iter=500)\n", "tsne_proj = tsne.fit_transform(digits.data)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "
\n", "\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df = pd.DataFrame({ 'x': tsne_proj[:,0],\n", " 'y': tsne_proj[:,1],\n", " 'color': pal.linear_map(digits.target, colors),\n", " 'target': digits.target\n", " })\n", "src = ColumnDataSource(data=df)\n", "\n", "fig = bk.figure(title='t-SNE - digits dataset', x_axis_label='c1', y_axis_label='c2',\n", " plot_width=750, plot_height=450)\n", "fig.scatter(source=src, x='x', y='y', fill_color='color',\n", " size=8, line_color='black', line_alpha=0.50)\n", "\n", "hover_tool = HoverTool(tooltips=[('target', '@target')])\n", "fig.add_tools(hover_tool)\n", "\n", "bk.show(fig)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "\n", "Visit [www.add-for.com]() for more tutorials and updates.\n", "\n", "This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License." ] } ], "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": "3.4.3" } }, "nbformat": 4, "nbformat_minor": 0 }