{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Visualisation de données intégrée avec Pandas \n", "\n", "Dans ce notebook, nous en apprendrons davantage sur les capacités intégrées de pandas pour la visualisation des données! C'est construit à partir de matplotlib, mais il fusionne avec pandas pour une utilisation plus facile! \n", "\n", "Jetons un coup d'oeil !" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Importations" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Les Données\n", "\n", "Il y a deux fichiers de données csv que vous pouvez lire en tant que dataframes:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "df1 = pd.read_csv('df1',index_col=0)\n", "df2 = pd.read_csv('df2')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Feuilles de style\n", "\n", "Matplotlib a des [feuilles de style](http://matplotlib.org/gallery.html#style_sheets) que vous pouvez utiliser pour rendre vos tracés un peu plus beaux. Ces feuilles de style incluent plot_bmh, plot_fivethirtyeight, plot_ggplot et plus. Ils créent essentiellement un ensemble de règles de style pour vos tracés. Je vous recommande de les utiliser, ils donnent à tous vos tracés le même aspect professionnel. Vous pouvez même créer les vôtres si vous voulez que les tracés de votre entreprise aient toutes le même look (mais c'est un peu fastidieux à créer).\n", "\n", "Voici comment les utiliser.\n", "\n", "**Avant plt.style.use() vos tracés ressemblaient à ça :**" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 3 }, { "output_type": "display_data", "data": { "text/plain": "
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}, "metadata": { "needs_background": "light" } } ], "source": [ "df1['A'].hist()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Appelez le style ggplot:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "plt.style.use('ggplot')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Maintenant, vos tracés ressemblent à ça :" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 5 }, { "output_type": "display_data", "data": { "text/plain": "
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}, "metadata": {} } ], "source": [ "df1['A'].hist()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 6 }, { "output_type": "display_data", "data": { "text/plain": "
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}, "metadata": {} } ], "source": [ "plt.style.use('bmh')\n", "df1['A'].hist()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 7 }, { "output_type": "display_data", "data": { "text/plain": "
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}, "metadata": {} } ], "source": [ "plt.style.use('dark_background')\n", "df1['A'].hist()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 8 }, { "output_type": "display_data", "data": { "text/plain": "
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}, "metadata": {} } ], "source": [ "plt.style.use('fivethirtyeight')\n", "df1['A'].hist()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "plt.style.use('ggplot')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Restons-en là pour le style ggplot et montrons comment utiliser les capacités de traçage intégrées de pandas !" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Types de graphique\n", "\n", "Il existe plusieurs types de graphiques intégrés à pandas, la plupart d'entre eux étant des graphiques statistiques par essence:\n", "\n", "* df.plot.area \n", "* df.plot.barh \n", "* df.plot.density \n", "* df.plot.hist \n", "* df.plot.line \n", "* df.plot.scatter\n", "* df.plot.bar \n", "* df.plot.box \n", "* df.plot.hexbin \n", "* df.plot.kde \n", "* df.plot.pie\n", "\n", "Vous pouvez aussi simplement appeler df.plot(kind='hist') ou remplacer cet argument par l'un des termes clés indiqués dans la liste ci-dessus (par exemple'box','barh', etc.)\n", "___" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Commençons à les examiner !\n", "\n", "## Surface" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 10 }, { "output_type": "display_data", "data": { "text/plain": "
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}, "metadata": {} } ], "source": [ "df2.plot.area(alpha=0.4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Diagrammes à barres" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ " a b c d\n", "0 0.039762 0.218517 0.103423 0.957904\n", "1 0.937288 0.041567 0.899125 0.977680\n", "2 0.780504 0.008948 0.557808 0.797510\n", "3 0.672717 0.247870 0.264071 0.444358\n", "4 0.053829 0.520124 0.552264 0.190008" ], "text/html": "
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abcd
00.0397620.2185170.1034230.957904
10.9372880.0415670.8991250.977680
20.7805040.0089480.5578080.797510
30.6727170.2478700.2640710.444358
40.0538290.5201240.5522640.190008
\n
" }, "metadata": {}, "execution_count": 11 } ], "source": [ "df2.head()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 12 }, { "output_type": "display_data", "data": { "text/plain": "
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}, "metadata": {} } ], "source": [ "df2.plot.bar()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 13 }, { "output_type": "display_data", "data": { "text/plain": "
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}, "metadata": {} } ], "source": [ "df2.plot.bar(stacked=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Histogramess" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 14 }, { "output_type": "display_data", "data": { "text/plain": "
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\n" }, "metadata": {} } ], "source": [ "df1['A'].plot.hist(bins=50)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Tracés linéaires" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 15 }, { "output_type": "display_data", "data": { "text/plain": "
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}, "metadata": {} } ], "source": [ "df1.plot.line(y='B',figsize=(12,3),lw=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Diagrammes de dispersion" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 16 }, { "output_type": "display_data", "data": { "text/plain": "
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\n" }, "metadata": {} } ], "source": [ "df1.plot.scatter(x='A',y='B')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vous pouvez utiliser c pour colorier en fonction d'une autre valeur de colonne.\n", "Utilisez cmap pour indiquer la carte des couleurs à utiliser. \n", "Pour toutes les cartes de couleurs, allez voir :http://matplotlib.org/users/colormaps.html" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 17 }, { "output_type": "display_data", "data": { "text/plain": "
", "image/svg+xml": "\r\n\r\n\r\n\r\n \r\n \r\n \r\n \r\n 2020-11-27T20:51:39.688726\r\n image/svg+xml\r\n \r\n \r\n Matplotlib v3.3.1, https://matplotlib.org/\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n 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\n" }, "metadata": {} } ], "source": [ "df1.plot.scatter(x='A',y='B',c='C',cmap='coolwarm')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ou utiliser s pour indiquer la taille basée sur une autre colonne. Le paramètre s doit être un tableau, pas seulement le nom d'une colonne :" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 18 }, { "output_type": "display_data", "data": { "text/plain": "
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\n" }, "metadata": {} } ], "source": [ "df1.plot.scatter(x='A',y='B',s=df1['C']*100)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Boîtes à moustache" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 19 }, { "output_type": "display_data", "data": { "text/plain": "
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}, "metadata": {} } ], "source": [ "df2.plot.box() # Peut aussi passer un argument by= pour groupby" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Tracé de pastilles hexagonales\n", "\n", "Utile pour les données bivariées, alternative au nuage de points:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 20 }, { "output_type": "display_data", "data": { "text/plain": "
", "image/svg+xml": "\r\n\r\n\r\n\r\n \r\n \r\n \r\n \r\n 2020-11-27T20:51:40.584747\r\n image/svg+xml\r\n \r\n \r\n Matplotlib v3.3.1, https://matplotlib.org/\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n 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\n" }, "metadata": {} } ], "source": [ "df = pd.DataFrame(np.random.randn(1000, 2), columns=['a', 'b'])\n", "df.plot.hexbin(x='a',y='b',gridsize=25,cmap='Oranges')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "____" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Diagramme d'estimation de la densité du noyau (KDE)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 21 }, { "output_type": "display_data", "data": { "text/plain": "
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}, "metadata": {} } ], "source": [ "df2['a'].plot.kde()" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 22 }, { "output_type": "display_data", "data": { "text/plain": "
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\n" }, "metadata": {} } ], "source": [ "df2.plot.density()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "C'est fini ! J'espère que vous comprendrez pourquoi cette méthode de traçage sera beaucoup plus facile à utiliser que la méthode matplotlib, elle équilibre la facilité d'utilisation avec le contrôle de la figure. Beaucoup d'appels de tracé acceptent également des arguments supplémentaires de sa maman matplotlib pyplot. \n", "\n", "\n", "# Bon travail!" ] } ], "metadata": { "kernelspec": { "name": "python3", "display_name": "Python 3.7.9 64-bit ('pyfinance': conda)", "metadata": { "interpreter": { "hash": "e89404a230d8800c54ad520c7b67d1bd9bb833a07b37dd3e521a178a3dc34904" } } }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.9-final" } }, "nbformat": 4, "nbformat_minor": 1 }