diff --git a/_doc/notebooks/td2a/Python-Logique-SQL.ipynb b/_doc/notebooks/td2a/Python-Logique-SQL.ipynb index 54948e5ae..6be8f029d 100644 --- a/_doc/notebooks/td2a/Python-Logique-SQL.ipynb +++ b/_doc/notebooks/td2a/Python-Logique-SQL.ipynb @@ -1,375 +1,375 @@ { - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Python et la logique SQL" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Python et la logique SQL" + ] + }, { - "data": { - "text/html": [ - "
run previous cell, wait for 2 seconds
\n", - "" + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
run previous cell, wait for 2 seconds
\n", + "" + ], + "text/plain": [ + "" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + } ], - "text/plain": [ - "" + "source": [ + "from pyquickhelper.ipythonhelper import add_notebook_menu\n", + "add_notebook_menu()" ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "from pyquickhelper.ipythonhelper import add_notebook_menu\n", - "add_notebook_menu()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "SQL vous avez tous ça dans le sang. \n", - "\n", - "SQL permet de créer des tables, de rechercher, d'ajouter, de modifier ou de supprimer des données dans les bases de données. Un peu ce que vous faites tous les jours. \n", - "\n", - "Sauf que SQL, c'est un langage pas un logiciel. \n", - "\n", - "Les instructions SQL s'écrivent d'une manière qui ressemble à celle de phrases ordinaires en anglais. Cette ressemblance voulue vise à faciliter l'apprentissage et la lecture. \n", - "\n", - "Comme avec STATA, on donne des ordres dans le programme, on ne parle plus de méthode ou d'objet comme dans Python. \n", - "\n", - "Là le tric, c'est d'utiliser le langage SQL dans le framework Python : mal à la tête ? ça va bien se passer..." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Exemple" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "#Exemple d'utilisation d'un langage type SQL \n", - "# site avec des exemples http://www.w3schools.com/sql/sql_insert_into_select.asp\n", - "\n", - "import sqlite3\n", - "\n", - "# on crée une base de données SQL vide\n", - "CreateDataBase = sqlite3.connect('MyDataBase.db')\n", - "\n", - "QueryCurs = CreateDataBase.cursor()\n", - "\n", - "# on va créer une table qui contient plusieurs variables de format différents\n", - "# id sera la clé primaire de la base\n", - "# Nom, Rue, Ville, Region seront du text\n", - "# Note sera un réel\n", - "\n", - "def CreateTable(nom_bdd):\n", - " QueryCurs.execute('''CREATE TABLE ''' + nom_bdd + '''\n", - " (id INTEGER PRIMARY KEY, Name TEXT,City TEXT, Country TEXT, Price REAL)''')\n", - "\n", - " \n", - "def AddEntry(nom_bdd, Nom,Ville,Region,Note):\n", - " QueryCurs.execute('''INSERT INTO ''' + nom_bdd + ''' \n", - " (Name,City,Country,Price) VALUES (?,?,?,?)''',(Nom,Ville,Region,Note))\n", - "\n", - "CreateTable('Clients')\n", - "\n", - "AddEntry('Clients','Toto','Munich','Germany',5.2)\n", - "AddEntry('Clients','Bill','Berlin','Germany',2.3)\n", - "AddEntry('Clients','Tom','Lille','France',7.8)\n", - "AddEntry('Clients','Marvin','Miami','USA',15.2)\n", - "\n", - "# on va \"commit\" c'est à dire qu'on va valider la transaction. \n", - "# on va envoyer ses modifications locales vers le référentiel central - la base de données SQL\n", - "\n", - "CreateDataBase.commit()" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": { - "collapsed": false, - "scrolled": true - }, - "outputs": [ + }, { - "name": "stdout", - "output_type": "stream", - "text": [ - "[(2, 'Bill', 'Berlin', 'Germany', 2.3)]\n", - " \n" - ] - } - ], - "source": [ - "QueryCurs.execute('SELECT * FROM Clients WHERE City==\"Berlin\"')\n", - "Values = QueryCurs.fetchall()\n", - "print(Values)\n", - "print(type(Values),type(Values[0]))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Les commandes les plus fréquentes : \n", - "\n", - "Parmi les commandes SQL les plus utilisées, il y a : \n", - "\n", - "- SELECT - extraction d'une sélection dans une table\n", - "- UPDATE \n", - "- DELETE \n", - "- INSERT INTO \n", - "- CREATE DATABASE\n", - "- ALTER DATABASE\n", - "- CREATE TABLE\n", - "- DROP TABLE \n", - "- CREATE INDEX - créer une clé\n", - "- DROP INDEX \n", - "- JOIN\n", - " \n", - "Pour écrire des conditions : \n", - "\n", - "- on utilise AND et OR comme dans STATA\n", - "- BETWEEN value1 and value 2\n", - " \n", - " " - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": { - "collapsed": false - }, - "outputs": [ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "SQL vous avez tous \u00e7a dans le sang. \n", + "\n", + "SQL permet de cr\u00e9er des tables, de rechercher, d'ajouter, de modifier ou de supprimer des donn\u00e9es dans les bases de donn\u00e9es. Un peu ce que vous faites tous les jours. \n", + "\n", + "Sauf que SQL, c'est un langage pas un logiciel. \n", + "\n", + "Les instructions SQL s'\u00e9crivent d'une mani\u00e8re qui ressemble \u00e0 celle de phrases ordinaires en anglais. Cette ressemblance voulue vise \u00e0 faciliter l'apprentissage et la lecture. \n", + "\n", + "Comme avec STATA, on donne des ordres dans le programme, on ne parle plus de m\u00e9thode ou d'objet comme dans Python. \n", + "\n", + "L\u00e0 le tric, c'est d'utiliser le langage SQL dans le framework Python : mal \u00e0 la t\u00eate ? \u00e7a va bien se passer..." + ] + }, { - "name": "stdout", - "output_type": "stream", - "text": [ - "[(1, 'Toto', 'Munich', 'Germany', 5.2), (2, 'Bill', 'Berlin', 'Germany', 2.3)]\n", - "[(2, 'Bill', 'Berlin', 'Germany', 2.3)]\n", - "[(3, 'Tom', 'Lille', 'France', 7.8), (4, 'Marvin', 'Miami', 'USA', 15.2)]\n" - ] - } - ], - "source": [ - "QueryCurs.execute('SELECT * FROM Clients WHERE Country == \"Germany\"')\n", - "print(QueryCurs.fetchall())\n", - "QueryCurs.execute('SELECT * FROM Clients WHERE City==\"Berlin\" AND Country == \"Germany\"')\n", - "print(QueryCurs.fetchall())\n", - "QueryCurs.execute('SELECT * FROM Clients WHERE Price BETWEEN 7 AND 20')\n", - "print(QueryCurs.fetchall())" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Enregistrer une table SQL sous un autre format \n", - "\n", - "On utilise le package csv, l'option 'w' pour 'write'. \n", - "\n", - "On crée l'objet \"writer\", qui vient du package csv.\n", - "\n", - "Cet objet a deux méthodes : \n", - "- writerow pour les noms de colonnes : une liste\n", - "- writerows pour les lignes : un ensemble de liste\n" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "data = QueryCurs.execute('SELECT * FROM Clients')\n", - "\n", - "import csv\n", - "\n", - "file = open('output.csv', 'w')\n", - "writer = csv.writer(file)\n", - "writer.writerow(['id','Name','City','Country','Price'])\n", - "writer.writerows(data)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Suppression d'une table" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": { - "collapsed": false - }, - "outputs": [ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exemple" + ] + }, { - "data": { - "text/plain": [ - "" + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "#Exemple d'utilisation d'un langage type SQL \n", + "# site avec des exemples http://www.w3schools.com/sql/sql_insert_into_select.asp\n", + "\n", + "import sqlite3\n", + "\n", + "# on cr\u00e9e une base de donn\u00e9es SQL vide\n", + "CreateDataBase = sqlite3.connect('MyDataBase.db')\n", + "\n", + "QueryCurs = CreateDataBase.cursor()\n", + "\n", + "# on va cr\u00e9er une table qui contient plusieurs variables de format diff\u00e9rents\n", + "# id sera la cl\u00e9 primaire de la base\n", + "# Nom, Rue, Ville, Region seront du text\n", + "# Note sera un r\u00e9el\n", + "\n", + "def CreateTable(nom_bdd):\n", + " QueryCurs.execute('''CREATE TABLE ''' + nom_bdd + '''\n", + " (id INTEGER PRIMARY KEY, Name TEXT,City TEXT, Country TEXT, Price REAL)''')\n", + "\n", + " \n", + "def AddEntry(nom_bdd, Nom,Ville,Region,Note):\n", + " QueryCurs.execute('''INSERT INTO ''' + nom_bdd + ''' \n", + " (Name,City,Country,Price) VALUES (?,?,?,?)''',(Nom,Ville,Region,Note))\n", + "\n", + "CreateTable('Clients')\n", + "\n", + "AddEntry('Clients','Toto','Munich','Germany',5.2)\n", + "AddEntry('Clients','Bill','Berlin','Germany',2.3)\n", + "AddEntry('Clients','Tom','Lille','France',7.8)\n", + "AddEntry('Clients','Marvin','Miami','USA',15.2)\n", + "\n", + "# on va \"commit\" c'est \u00e0 dire qu'on va valider la transaction. \n", + "# on va envoyer ses modifications locales vers le r\u00e9f\u00e9rentiel central - la base de donn\u00e9es SQL\n", + "\n", + "CreateDataBase.commit()" ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[(2, 'Bill', 'Berlin', 'Germany', 2.3)]\n", + " \n" + ] + } + ], + "source": [ + "QueryCurs.execute('SELECT * FROM Clients WHERE City==\"Berlin\"')\n", + "Values = QueryCurs.fetchall()\n", + "print(Values)\n", + "print(type(Values),type(Values[0]))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Les commandes les plus fr\u00e9quentes : \n", + "\n", + "Parmi les commandes SQL les plus utilis\u00e9es, il y a : \n", + "\n", + "- SELECT - extraction d'une s\u00e9lection dans une table\n", + "- UPDATE \n", + "- DELETE \n", + "- INSERT INTO \n", + "- CREATE DATABASE\n", + "- ALTER DATABASE\n", + "- CREATE TABLE\n", + "- DROP TABLE \n", + "- CREATE INDEX - cr\u00e9er une cl\u00e9\n", + "- DROP INDEX \n", + "- JOIN\n", + " \n", + "Pour \u00e9crire des conditions : \n", + "\n", + "- on utilise AND et OR comme dans STATA\n", + "- BETWEEN value1 and value 2\n", + " \n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[(1, 'Toto', 'Munich', 'Germany', 5.2), (2, 'Bill', 'Berlin', 'Germany', 2.3)]\n", + "[(2, 'Bill', 'Berlin', 'Germany', 2.3)]\n", + "[(3, 'Tom', 'Lille', 'France', 7.8), (4, 'Marvin', 'Miami', 'USA', 15.2)]\n" + ] + } + ], + "source": [ + "QueryCurs.execute('SELECT * FROM Clients WHERE Country == \"Germany\"')\n", + "print(QueryCurs.fetchall())\n", + "QueryCurs.execute('SELECT * FROM Clients WHERE City==\"Berlin\" AND Country == \"Germany\"')\n", + "print(QueryCurs.fetchall())\n", + "QueryCurs.execute('SELECT * FROM Clients WHERE Price BETWEEN 7 AND 20')\n", + "print(QueryCurs.fetchall())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Enregistrer une table SQL sous un autre format \n", + "\n", + "On utilise le package csv, l'option 'w' pour 'write'. \n", + "\n", + "On cr\u00e9e l'objet \"writer\", qui vient du package csv.\n", + "\n", + "Cet objet a deux m\u00e9thodes : \n", + "- writerow pour les noms de colonnes : une liste\n", + "- writerows pour les lignes : un ensemble de liste\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "data = QueryCurs.execute('SELECT * FROM Clients')\n", + "\n", + "import csv\n", + "\n", + "file = open('output.csv', 'w')\n", + "writer = csv.writer(file)\n", + "writer.writerow(['id','Name','City','Country','Price'])\n", + "writer.writerows(data)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Suppression d'une table" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "QueryCurs.execute('''DROP TABLE Clients''')\n", + "#QueryCurs.close()" + ] + } + ], + "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": "3.5.0" } - ], - "source": [ - "QueryCurs.execute('''DROP TABLE Clients''')\n", - "#QueryCurs.close()" - ] - } - ], - "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": "3.5.0" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} + "nbformat": 4, + "nbformat_minor": 0 +} \ No newline at end of file diff --git a/_doc/notebooks/td2a/ml_timeseries_base.ipynb b/_doc/notebooks/td2a/ml_timeseries_base.ipynb new file mode 100644 index 000000000..7a5a5a5b4 --- /dev/null +++ b/_doc/notebooks/td2a/ml_timeseries_base.ipynb @@ -0,0 +1,1395 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Timeseries et machine learning" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "import matplotlib.pyplot as plt\n", + "plt.style.use('ggplot')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Les s\u00e9ries temporelles diff\u00e8rent des probl\u00e8mes de machine learning classique car les observations ne sont pas ind\u00e9pendantes. Ce notebook pr\u00e9sente quelques traitements classiques et une fa\u00e7on assez simple d'appliquer un traitement de machine learning." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
run previous cell, wait for 2 seconds
\n", + "" + ], + "text/plain": [ + "" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from pyquickhelper.ipythonhelper import add_notebook_menu\n", + "add_notebook_menu()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Je ne vais pas refaire ici un cours sur les s\u00e9ries temporelles. Quelques r\u00e9f\u00e9rences pour approfondir :\n", + " \n", + "* [Diff\u00e9rencier (ind\u00e9finiment) les s\u00e9ries temporelles ?](https://freakonometrics.hypotheses.org/1876)\n", + "* [Cours de S\u00e9ries Temporelles - Arthur Charpentier](http://cours.mido.dauphine.fr/st/cours.html)\n", + "* [Mod\u00e8les de pr\u00e9vision S\u00e9ries temporelles](http://freakonometrics.free.fr/M1_TS_2015.pdf)\n", + "* [COURS DE SERIES TEMPORELLES THEORIE ET APPLICATIONS](https://perso.univ-rennes1.fr/arthur.charpentier/TS1.pdf)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Donn\u00e9es" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Prenons comme exemple une s\u00e9rie venant de [Google Trend](https://www.google.com/trends/), par exemple le terme [macron](https://www.google.com/trends/explore?geo=FR&q=macron) pris sur la France." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
Weekmacron
2562016-08-219
2572016-08-2898
2582016-09-0434
2592016-09-1117
2602016-09-1813
\n", + "
" + ], + "text/plain": [ + " Week macron\n", + "256 2016-08-21 9\n", + "257 2016-08-28 98\n", + "258 2016-09-04 34\n", + "259 2016-09-11 17\n", + "260 2016-09-18 13" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from ensae_teaching_cs.data import google_trends\n", + "t = google_trends(\"macron\") # export CSV, donc pas \u00e0 jour\n", + "import pandas\n", + "df = pandas.read_csv(t, sep=\",\")\n", + "df.tail()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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Sf7oBaBqEEGxLTURElFZ8h2nyAj4yDh6lVNPWrN73ne1DfSTxZ92wAMwubWxLTURElB6s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\nfD2mORHy3bdgrH0Z2tkL1DAzso3cuQ3GC0+oqeM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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df.plot(x=\"Week\", y=\"macron\", figsize=(14,4))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## P\u00e9riode, tendance" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On enl\u00e8ve tout ce qui pr\u00e9c\u00e8de 08/2014 car la s\u00e9rie se comporte de fa\u00e7on diff\u00e9rente. Monsieur Macron n'\u00e9tait probablement pas ministre \u00e0 avant cette date." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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DrsyZtqJCmoHyMWMpGOT7aRs91j22uHDQxw5FQoKdnTt3smnTJrZs2UIgEODk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\nW3e+/0ZGRur33nvPpXtxr8t3GFvlypUzWya9vb2pWbMmDoeDyMhIOnb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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df[df.Week >= \"2014-08\"].plot(x=\"Week\", y=\"macron\", figsize=(14,4))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On peut \u00e9tudier les corr\u00e9lations entre les diff\u00e9rentes dates. Le module le plus appropri\u00e9 est [statsmodels](http://statsmodels.sourceforge.net/devel/index.html)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "data = df[df.Week >= \"2014-08\"].copy()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "La s\u00e9rie ne montre pas de p\u00e9riode \u00e9vidente. Regardons la tendance." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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kCxjt2Tk51is2KBiT2Sn19k5HEroqLo3LD7OSFTM7pWM43opVR0EREZkt/eFA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\nnXda8NKmsbERg8HgC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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from statsmodels.tsa.tsatools import detrend\n", + "notrend = detrend(data.macron)\n", + "data[\"notrend\"] = notrend\n", + "data.plot(x=\"Week\", y=[\"macron\", \"notrend\"], figsize=(14,4))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On v\u00e9rifie pour la p\u00e9riode." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 1.00000000e+00, 1.81478584e-01, 7.71694317e-03,\n", + " 6.10314527e-02, -3.12083821e-02, -5.82876827e-02,\n", + " -3.76040376e-02, 7.26138869e-02, -4.37474938e-02,\n", + " -8.95598327e-02, -6.59322125e-02, -7.63327292e-02,\n", + " -3.54159381e-02, 3.38419910e-02, -2.35595163e-02,\n", + " -4.74118451e-02, -3.53898523e-02, -1.37790825e-02,\n", + " -1.21436276e-02, 9.54084115e-03, 1.10601624e-01,\n", + " 4.84432935e-02, 8.45674666e-03, -5.47832160e-02,\n", + " -1.72073748e-02, 2.16452288e-01, 1.08989553e-03,\n", + " -3.85780099e-02, 2.84947228e-04, -1.77271624e-02,\n", + " -2.46716340e-02, 1.34294810e-02, 2.34894397e-02,\n", + " -2.82512712e-02, -1.76425935e-02, -3.77660611e-02,\n", + " -6.79376963e-02, -5.36774061e-02, -2.86750133e-02,\n", + " -4.95528192e-02, -4.18258630e-02])" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from statsmodels.tsa.stattools import acf\n", + "cor = acf(data.notrend)\n", + "cor" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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wZcoUhg8fzvXXX98u7RV1NzGtXLmSxx9/HNd1GTt2LBdddFFHl9Sp\nzJ07l3Xr1lFaWkpKSgoTJkxg5MiRzJkzh6KiIk3rO8Ann3zC7bffTmZmZnDo5dJLL2Xo0KFqswZ8\n8cUXPPDAA7iui7WWE044ge9+97t8/fXXzJ07l927d3PooYcyefJk4uPjO7rcTmXt2rU8//zzTJ06\ntV3aK+rCXUREQouqYRkREQmPwl1EJAYp3EVEYpDCXUQkBincRURikMJdRCQGKdxFRGKQwl1EJAb9\nP6Oz+6KQBSs9AAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(cor)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Auto-corr\u00e9lation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On recommence sur la s\u00e9rie [chocolat](https://www.google.com/trends/explore?geo=FR&q=chocolat)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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fQUVFBRYtWoS2tjZceOGFeOihh/D4449j8eLF2LBhgxmHIyIioukq6IdYuhISYMBD1hoN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dM0TdM0TWux9IBH0zRN0zRN07QW6/8DdKDTHyepIjsAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "choco = pandas.read_csv(google_trends(\"chocolat\"), sep=\",\")\n", + "choco.plot(x=\"Week\", y=\"chocolat\", figsize=(14,4))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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vrP2a2dzUrzDrutgn5mIL38ZccxPOiLGHHKd+Raal+2U3bsB9+J4Dk3cL3wPq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\ni4jEIYW/iEgcUviLiMSh/w82VVR+sn0qzQAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "choco[\"notrend\"] = detrend(choco.chocolat)\n", + "cor = acf(choco.notrend)\n", + "plt.plot(cor)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On regarde plus souvent les [auto-corr\u00e9lations partielles](https://en.wikipedia.org/wiki/Partial_autocorrelation_function)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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Xfpbx2fvqVJPYAzKWoQtOoNp3qL/w/XsgPw/y8zD/Ng/j7l/VnjLYsQnKSlHn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\nsvXJzRGB8cs/ogY28ie4Fkp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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from statsmodels.tsa.stattools import pacf\n", + "pcor = pacf(choco.notrend)\n", + "plt.plot(pcor)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Tendance" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[detrend](http://statsmodels.sourceforge.net/stable/generated/statsmodels.tsa.tsatools.detrend.html#statsmodels.tsa.tsatools.detrend) ne semble pas retourner la tendance. Il faut utiliser la r\u00e9gression pour cela." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "const 10.137010\n", + "x1 0.075234\n", + "dtype: float64" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from statsmodels.api import OLS\n", + "import numpy\n", + "y = data.macron\n", + "X = numpy.ones((len(y), 2))\n", + "X[:,1] = numpy.arange(0,len(y))\n", + "reg = OLS(y,X)\n", + "results = reg.fit()\n", + "results.params" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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S0ccS+uxw9FqoREv89Dax7n4AbDatxWkwdFNaqr6vuDizhV47aVOdRk2QXWg9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\nrkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from statsmodels.graphics.regressionplots import abline_plot\n", + "fig = abline_plot(model_results=results)\n", + "ax = fig.axes[0]\n", + "ax.plot(X[:,1], y, 'b')\n", + "ax.margins(.1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Pr\u00e9dictions lin\u00e9aires" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On sort ici du cadre lin\u00e9aire pour utiliser le machine learning non lin\u00e9aire pour faire de la pr\u00e9diction. Pour \u00e9viter les trop gros probl\u00e8mes de tendance, on travaillera sur la s\u00e9rie diff\u00e9renci\u00e9e. En th\u00e9orie, il faudrait diff\u00e9rencier jusqu'\u00e0 ce qu'on enl\u00e8ve la tendance (voir [ARIMA](https://en.wikipedia.org/wiki/Autoregressive_integrated_moving_average))." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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fQUVFBRYtWoS2tjZceOGFeOihh/D4449j8eLF2LBhgxmHIyIioukq6IdYuhISYMBD1hoN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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from ensae_teaching_cs.data import google_trends\n", + "df = pandas.read_csv(google_trends(\"chocolat\"), sep=\",\")\n", + "df.plot(x=\"Week\", y=\"chocolat\", figsize=(14,4))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On calcule la s\u00e9rie diff\u00e9renci\u00e9e. Quelques astuces. [pandas](http://pandas.pydata.org/) utilise les indices par d\u00e9faut pour faire des op\u00e9rations sur les colonnes. C'est pourquoi il faut convertir les tableaux extraits du dataframe en [numpy array](http://docs.scipy.org/doc/numpy/reference/generated/numpy.array.html). **N'oubliez pas ce d\u00e9tail. C'est tr\u00e8s aga\u00e7ant**. On peut aussi utiliser la fonction [diff](http://pandas.pydata.org/pandas-docs/version/0.17.0/generated/pandas.DataFrame.diff.html)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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Weekchocolatdiff
02011-09-2531NaN
12011-10-02343.0
22011-10-09384.0
2582016-09-04321.0
2592016-09-11353.0
2602016-09-18361.0
\n", + "
" + ], + "text/plain": [ + " Week chocolat diff\n", + "0 2011-09-25 31 NaN\n", + "1 2011-10-02 34 3.0\n", + "2 2011-10-09 38 4.0\n", + "258 2016-09-04 32 1.0\n", + "259 2016-09-11 35 3.0\n", + "260 2016-09-18 36 1.0" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df[\"diff\"] = numpy.nan\n", + "df.ix[1:, \"diff\"] = (df.iloc[1:, 1].as_matrix() - df.iloc[:len(df)-1, 1].as_matrix())\n", + "pandas.concat([df.head(n=3), df.tail(n=3)])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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0ygccDjg+/3WIhSfZdo5jhupjxffNmIY624GmFgghQK4S+WBiDBsThsEzACJKRgqY8UGf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\nSexpnIrSSBBV/SF47/h3UDCAuhOWoMTCsxDYuRm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mm9aJm7musVhGeKy7QfNPVP2wLr1s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\nV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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df.plot(x=\"Week\", y=\"diff\", figsize=(14,4))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Sans information, la meilleure pr\u00e9diction est la valeur de la veille (o\u00f9 celle dans le pass\u00e9 \u00e0 l'horizon de pr\u00e9diction consid\u00e9r\u00e9). Dans notre cas, c'est simplement la variance de la s\u00e9rie diff\u00e9renci\u00e9e :" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "7.1682035240673869" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(df[\"diff\"].apply(lambda x:x**2).sum()/len(df))**0.5" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-0.00318712, 0.2332443 , -0.3239062 , -0.13429128, -0.05203156,\n", + " -0.13237594, 0.00292422, -0.06093002, 0.18300775, -0.25978782])" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from statsmodels.tsa.arima_model import ARMA\n", + "arma_mod = ARMA(df[\"diff\"].dropna().as_matrix(), order=(8, 1))\n", + "res = arma_mod.fit()\n", + "res.params" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**\u00e0 finir** train/test / pr\u00e9diciton" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Machine learning" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On souhaite utiliser une random forest pour faire de la pr\u00e9diction. On cr\u00e9\u00e9 la matrice avec les s\u00e9ries d\u00e9cal\u00e9es." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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Weekchocolatdifflag1lag2lag3lag4lag5lag6lag7lag8
02011-09-2531NaN0.00.00.00.00.00.00.00.0
12011-10-02343.0NaN0.00.00.00.00.00.00.0
22011-10-09384.03.0NaN0.00.00.00.00.00.0
32011-10-16457.04.03.0NaN0.00.00.00.00.0
42011-10-2344-1.07.04.03.0NaN0.00.00.00.0
2562016-08-2133-2.00.01.01.03.0-4.0-1.0-4.01.0
2572016-08-2831-2.0-2.00.01.01.03.0-4.0-1.0-4.0
2582016-09-04321.0-2.0-2.00.01.01.03.0-4.0-1.0
2592016-09-11353.01.0-2.0-2.00.01.01.03.0-4.0
2602016-09-18361.03.01.0-2.0-2.00.01.01.03.0
\n", + "
" + ], + "text/plain": [ + " Week chocolat diff lag1 lag2 lag3 lag4 lag5 lag6 lag7 \\\n", + "0 2011-09-25 31 NaN 0.0 0.0 0.0 0.0 0.0 0.0 0.0 \n", + "1 2011-10-02 34 3.0 NaN 0.0 0.0 0.0 0.0 0.0 0.0 \n", + "2 2011-10-09 38 4.0 3.0 NaN 0.0 0.0 0.0 0.0 0.0 \n", + "3 2011-10-16 45 7.0 4.0 3.0 NaN 0.0 0.0 0.0 0.0 \n", + "4 2011-10-23 44 -1.0 7.0 4.0 3.0 NaN 0.0 0.0 0.0 \n", + "256 2016-08-21 33 -2.0 0.0 1.0 1.0 3.0 -4.0 -1.0 -4.0 \n", + "257 2016-08-28 31 -2.0 -2.0 0.0 1.0 1.0 3.0 -4.0 -1.0 \n", + "258 2016-09-04 32 1.0 -2.0 -2.0 0.0 1.0 1.0 3.0 -4.0 \n", + "259 2016-09-11 35 3.0 1.0 -2.0 -2.0 0.0 1.0 1.0 3.0 \n", + "260 2016-09-18 36 1.0 3.0 1.0 -2.0 -2.0 0.0 1.0 1.0 \n", + "\n", + " lag8 \n", + "0 0.0 \n", + "1 0.0 \n", + "2 0.0 \n", + "3 0.0 \n", + "4 0.0 \n", + "256 1.0 \n", + "257 -4.0 \n", + "258 -1.0 \n", + "259 -4.0 \n", + "260 3.0 " + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from statsmodels.tsa.tsatools import lagmat\n", + "lag = 8\n", + "X = lagmat(df[\"diff\"], lag)\n", + "lagged = df.copy()\n", + "for c in range(1,lag+1):\n", + " lagged[\"lag%d\" % c] = X[:, c-1]\n", + "pandas.concat([lagged.head(), lagged.tail()])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On d\u00e9coupe en train/test de fa\u00e7on non al\u00e9atoire car c'est une s\u00e9rie temporelle." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "xc = [\"lag%d\" % i for i in range(1,lag+1)]\n", + "split = 0.66\n", + "isplit = int(len(lagged) * split)\n", + "xt = lagged[10:][xc]\n", + "yt = lagged[10:][\"diff\"]\n", + "X_train, y_train, X_test, y_test = xt[:isplit], yt[:isplit], xt[isplit:], yt[isplit:]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On peut maintenant faire du machine learning sur la s\u00e9rie d\u00e9cal\u00e9." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "LinearRegression(copy_X=True, fit_intercept=True, n_jobs=1, normalize=False)" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.linear_model import LinearRegression\n", + "clr = LinearRegression()\n", + "clr.fit(X_train, y_train)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.19464363031161369" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.metrics import r2_score\n", + "r2 = r2_score(y_test.as_matrix(), clr.predict(X_test))\n", + "r2" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(y_test.as_matrix(), clr.predict(X_test))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Non lin\u00e9aire" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "RandomForestRegressor(bootstrap=True, criterion='mse', max_depth=None,\n", + " max_features='auto', max_leaf_nodes=None, min_samples_leaf=1,\n", + " min_samples_split=2, min_weight_fraction_leaf=0.0,\n", + " n_estimators=10, n_jobs=1, oob_score=False, random_state=None,\n", + " verbose=0, warm_start=False)" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.ensemble import RandomForestRegressor\n", + "clrf = RandomForestRegressor()\n", + "clrf.fit(X_train, y_train)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.36452852422907478" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.metrics import r2_score\n", + "r2 = r2_score(y_test.as_matrix(), clrf.predict(X_test))\n", + "r2" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "C'est mieux." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": null, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(y_test.as_matrix(), clrf.predict(X_test))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Le mod\u00e8le pr\u00e9dit bien les extr\u00eames, il faudrait sans doute les enlever ou utiliser une \u00e9chelle logarithmique pour r\u00e9duire leur importance." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "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": "3.5.0" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} \ No newline at end of file diff --git a/_doc/sphinxdoc/source/blog/2016/2016-09-16_permutations.rst b/_doc/sphinxdoc/source/blog/2016/2016-09-16_permutations.rst index 735237173..d1f2b6f2c 100644 --- a/_doc/sphinxdoc/source/blog/2016/2016-09-16_permutations.rst +++ b/_doc/sphinxdoc/source/blog/2016/2016-09-16_permutations.rst @@ -2,7 +2,7 @@ .. blogpost:: :title: Permutations et récursivité - :keywords: + :keywords: permutation, combinatoire :date: 2016-09-16 :categories: TD diff --git a/_doc/sphinxdoc/source/blog/2016/2016-09-24_js.rst b/_doc/sphinxdoc/source/blog/2016/2016-09-24_js.rst new file mode 100644 index 000000000..200c10bb1 --- /dev/null +++ b/_doc/sphinxdoc/source/blog/2016/2016-09-24_js.rst @@ -0,0 +1,37 @@ + + +.. blogpost:: + :title: Javascript et traitement de données + :keywords: + :date: 2016-09-24 + :categories: programmation, javascript + :lid: blog-js-data + + Un des candidats a une forte préférence pour le Javascript + et son premier réflexe est d'utiliser ce langage très utilisé + pour tout ce qui est graphique. Comme éditeur, il utilise + `Atom `_ que je m'empresse d'essayer à mon tour. + Il traite les données en JSON car ce format est le plus adéquat pour ce langage. + Le site `learnjsdata `_ guide les programmeurs + vers l'utilisation du javascript pour traiter les données. + Il existe des librairies qui implémentent les dataframe + comme `jsdataframe `_. + Le navigateur execute le javascript excepté si un serveur est requis. + Dans ce cas, la solution est d'utiliser un plugin + `Chrome `_ : + `Web Server for Chrome `_. + `Chrome `_ reste le navigateur préféré des dévelopeurs. + Autre option `http-static `_. + + Côté graph, `d3.js `_ reste un standard mais un peu ardu au premier abord. + Il faut regarder du côté de `c3.js `_ + ou plus simple encore `morris.js `_. + Une dernière astuce, pour des graphes plus élaborés, presque des peintures, + il faut se tourner vers `InkScape `_ et exporter + son dessin en `SVG `_. + A partir de là, on peut le retravailler avec `d3.js `_. + `dc.js `_ a l'air assez doué pour lier les graphes + entre eux et les faire interagir. + + + \ No newline at end of file diff --git a/_doc/sphinxdoc/source/notebooks/_gs2a_timseries.rst b/_doc/sphinxdoc/source/notebooks/_gs2a_timseries.rst new file mode 100644 index 000000000..4695ecada --- /dev/null +++ b/_doc/sphinxdoc/source/notebooks/_gs2a_timseries.rst @@ -0,0 +1,9 @@ + + +Timeseries - Séries temporelles +=============================== + +.. toctree:: + :maxdepth: 2 + + ml_timeseries_base diff --git a/_doc/sphinxdoc/source/td_2a.rst b/_doc/sphinxdoc/source/td_2a.rst index 8f7a43099..9ae298a5f 100644 --- a/_doc/sphinxdoc/source/td_2a.rst +++ b/_doc/sphinxdoc/source/td_2a.rst @@ -112,7 +112,11 @@ Les librairies les plus récentes implémentent les deux modes en cherchant touj de simplicité. A ce sujet, il faut jeter un coup d'oeil à `flexx `_. Elles explorent aussi la visualisation animée de gros jeux de données telle que -`datshader `_. +`datashader `_. + +**Javascript** + +* Lire :ref:`Javascript et traitement de données ` Cartes ++++++ @@ -257,6 +261,15 @@ Notion abordées : * sérialisation : le fait de convertir n'importe quelle structure de données en un tableau d'octets, c'est indispensable pour la communication entre deux machines, deux processus + + +Timeseries - Séries temporelles +=============================== + +.. toctree:: + :maxdepth: 2 + + notebooks/_gs2a_timeseries .. _l-puzzlealgo2A: diff --git a/_unittests/ut_data/test_data_web.py b/_unittests/ut_data/test_data_web.py new file mode 100644 index 000000000..f580faf47 --- /dev/null +++ b/_unittests/ut_data/test_data_web.py @@ -0,0 +1,90 @@ +""" +@brief test log(time=3s) +""" + +import sys +import os +import unittest +import warnings + + +try: + import src +except ImportError: + path = os.path.normpath( + os.path.abspath( + os.path.join( + os.path.split(__file__)[0], + "..", + ".."))) + if path not in sys.path: + sys.path.append(path) + import src + +try: + import pyquickhelper as skip_ +except ImportError: + path = os.path.normpath( + os.path.abspath( + os.path.join( + os.path.split(__file__)[0], + "..", + "..", + "..", + "pyquickhelper", + "src"))) + if path not in sys.path: + sys.path.append(path) + import pyquickhelper as skip_ + +try: + import pyensae as skip__ +except ImportError: + path = os.path.normpath( + os.path.abspath( + os.path.join( + os.path.split(__file__)[0], + "..", + "..", + "..", + "pyensae", + "src"))) + if path not in sys.path: + sys.path.append(path) + import pyensae as skip__ + +from pyquickhelper.loghelper import fLOG +from pyquickhelper.pycode import get_temp_folder +from src.ensae_teaching_cs.data import google_trends + + +class TestDataWeb(unittest.TestCase): + + def test_google_trends_macron(self): + fLOG( + __file__, + self._testMethodName, + OutputPrint=__name__ == "__main__") + + temp = get_temp_folder(__file__, "temp_google_trends_macron") + text = google_trends(local=True, filename=False) + assert text is not None + + name = google_trends(local=True, filename=True) + assert name.endswith("macron.csv") + + try: + text2 = google_trends( + local=False, cache_folder=temp, filename=False) + except ConnectionResetError as e: + warnings.warn("Cannot check remote marathon.txt.\n" + str(e)) + return + + assert text2 is not None + self.assertEqual(len(text), len(text2)) + self.maxDiff = None + self.assertEqual(text, text2) + + +if __name__ == "__main__": + unittest.main() diff --git a/setup.py b/setup.py index a5acdd308..fc5a3e5be 100644 --- a/setup.py +++ b/setup.py @@ -41,6 +41,7 @@ project_var_name + ".data.data_gutenberg": ["*.txt"], project_var_name + ".special.data": ["*.png", "*.txt"], project_var_name + ".data.data_1a": ["*.txt"], + project_var_name + ".data.data_web": ["*.csv"], project_var_name + ".data.zips": ["*.zip"], project_var_name + ".automation": ["*.xml", "*.r", "*.ico"], project_var_name: ["rss_teachings.xml"], diff --git a/src/ensae_teaching_cs/data/__init__.py b/src/ensae_teaching_cs/data/__init__.py index c220af38f..988c08bb1 100644 --- a/src/ensae_teaching_cs/data/__init__.py +++ b/src/ensae_teaching_cs/data/__init__.py @@ -5,4 +5,5 @@ from .gutenberg import gutenberg_name from .data1a import marathon, donnees_enquete_2003_television +from .dataweb import google_trends from .datazips import besancon_df, added diff --git a/src/ensae_teaching_cs/data/data1a.py b/src/ensae_teaching_cs/data/data1a.py index 32f7c57a9..8d1b79ce4 100644 --- a/src/ensae_teaching_cs/data/data1a.py +++ b/src/ensae_teaching_cs/data/data1a.py @@ -2,12 +2,12 @@ @file @brief Data mostly for the first year. """ -import os +from .data_helper import any_local_file def anyfile(name, local=True, cache_folder=".", filename=True): """ - Time about marathons over cities and years + Returns any file in sub folder `data_1a `_. @param name file to download @param local local data or web @@ -15,19 +15,7 @@ def anyfile(name, local=True, cache_folder=".", filename=True): @param filename return the filename (True) or the content (False) @return text content (str) """ - if local: - this = os.path.abspath(os.path.dirname(__file__)) - this = os.path.join(this, "data_1a", name) - if not os.path.exists(this): - raise FileNotFoundError(this) - else: - import pyensae - this = pyensae.download_data(name, whereTo=cache_folder) - if filename: - return this - else: - with open(this, "r") as f: - return f.read() + return any_local_file(name, "data_1a", cache_folder=cache_folder, filename=filename) def marathon(local=True, cache_folder=".", filename=True): diff --git a/src/ensae_teaching_cs/data/data_helper.py b/src/ensae_teaching_cs/data/data_helper.py new file mode 100644 index 000000000..87f82df19 --- /dev/null +++ b/src/ensae_teaching_cs/data/data_helper.py @@ -0,0 +1,31 @@ +""" +@file +@brief Helpers to get data including in the module itself. +""" +import os + + +def any_local_file(name, subfolder, local=True, cache_folder=".", filename=True): + """ + Returns a local data file, reads its content or returns its content. + + @param name file to download + @param subfolder sub folder + @param local local data or web + @param cache_folder where to cache the data if downloaded a second time + @param filename return the filename (True) or the content (False) + @return text content (str) + """ + if local: + this = os.path.abspath(os.path.dirname(__file__)) + this = os.path.join(this, subfolder, name) + if not os.path.exists(this): + raise FileNotFoundError(this) + else: + import pyensae + this = pyensae.download_data(name, whereTo=cache_folder) + if filename: + return this + else: + with open(this, "r") as f: + return f.read() diff --git a/src/ensae_teaching_cs/data/data_web/__init__.py b/src/ensae_teaching_cs/data/data_web/__init__.py new file mode 100644 index 000000000..e69de29bb diff --git a/src/ensae_teaching_cs/data/data_web/google_trends_chocolat.csv b/src/ensae_teaching_cs/data/data_web/google_trends_chocolat.csv new file mode 100644 index 000000000..75fe8b8fd --- /dev/null +++ b/src/ensae_teaching_cs/data/data_web/google_trends_chocolat.csv @@ -0,0 +1,262 @@ +Week,chocolat +2011-09-25,31 +2011-10-02,34 +2011-10-09,38 +2011-10-16,45 +2011-10-23,44 +2011-10-30,44 +2011-11-06,42 +2011-11-13,40 +2011-11-20,41 +2011-11-27,41 +2011-12-04,43 +2011-12-11,51 +2011-12-18,72 +2011-12-25,50 +2012-01-01,31 +2012-01-08,30 +2012-01-15,33 +2012-01-22,35 +2012-01-29,34 +2012-02-05,39 +2012-02-12,45 +2012-02-19,41 +2012-02-26,40 +2012-03-04,40 +2012-03-11,37 +2012-03-18,37 +2012-03-25,34 +2012-04-01,44 +2012-04-08,42 +2012-04-15,37 +2012-04-22,35 +2012-04-29,36 +2012-05-06,31 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+2016-02-14,9 +2016-02-21,10 +2016-02-28,13 +2016-03-06,11 +2016-03-13,10 +2016-03-20,7 +2016-03-27,7 +2016-04-03,31 +2016-04-10,64 +2016-04-17,34 +2016-04-24,23 +2016-05-01,14 +2016-05-08,28 +2016-05-15,13 +2016-05-22,18 +2016-05-29,31 +2016-06-05,20 +2016-06-12,11 +2016-06-19,9 +2016-06-26,9 +2016-07-03,9 +2016-07-10,34 +2016-07-17,8 +2016-07-24,7 +2016-07-31,7 +2016-08-07,12 +2016-08-14,15 +2016-08-21,9 +2016-08-28,98 +2016-09-04,34 +2016-09-11,17 +2016-09-18,13 diff --git a/src/ensae_teaching_cs/data/dataweb.py b/src/ensae_teaching_cs/data/dataweb.py new file mode 100644 index 000000000..8f7a0ceb0 --- /dev/null +++ b/src/ensae_teaching_cs/data/dataweb.py @@ -0,0 +1,31 @@ +""" +@file +@brief Data mostly for the first year. +""" +from .data_helper import any_local_file + + +def anyfile(name, local=True, cache_folder=".", filename=True): + """ + Returns any file in sub folder `data_web `_. + + @param name file to download + @param local local data or web + @param cache_folder where to cache the data if downloaded a second time + @param filename return the filename (True) or the content (False) + @return text content (str) + """ + return any_local_file(name, "data_web", cache_folder=cache_folder, filename=filename) + + +def google_trends(name="macron", local=True, cache_folder=".", filename=True): + """ + Returns some google trends example. + + @param name expresion + @param local local data or web + @param cache_folder where to cache the data if downloaded a second time + @param filename return the filename (True) or the content (False) + @return text content (str) + """ + return anyfile("google_trends_%s.csv" % name, local=local, cache_folder=cache_folder, filename=filename)