247 lines
110 KiB
Text
247 lines
110 KiB
Text
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Data analysis: Velib"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Author: O. Roustant, INSA Toulouse. February 2022.\n",
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"\n",
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"\n",
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"We consider the ‘Vélib’ data set, related to the bike sharing system of Paris. The data are loading profiles of the bike stations over one week, collected every hour, from the period Monday 2nd Sept. - Sunday 7th Sept., 2014. The loading profile of a station, or simply loading, is defined as the ratio of number of available bikes divided by the number of bike docks. A loading of 1 means that the station is fully loaded, i.e. all bikes are available. A loading of 0 means that the station is empty, all bikes have been rent.\n",
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"\n",
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"From the viewpoint of data analysis, the individuals are the stations. The variables are the 168 time steps (hours in the week). The aim is to detect clusters in the data, corresponding to common customer usages. This clustering should then be used to predict the loading profile."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {},
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"outputs": [
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{
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"name": "stderr",
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"output_type": "stream",
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"text": [
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"Loading required package: MASS\n",
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"\n",
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"Loading required package: fda\n",
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"\n",
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"Loading required package: splines\n",
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"\n",
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"Loading required package: Matrix\n",
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"\n",
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"Loading required package: fds\n",
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"\n",
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"Loading required package: rainbow\n",
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"\n",
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"Loading required package: pcaPP\n",
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"\n",
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"Loading required package: RCurl\n",
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"\n",
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"Loading required package: deSolve\n",
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"\n",
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"\n",
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"Attaching package: ‘fda’\n",
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"\n",
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"\n",
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"The following object is masked from ‘package:graphics’:\n",
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"\n",
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" matplot\n",
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"\n",
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"\n",
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"Loading required package: elasticnet\n",
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"\n",
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"Loading required package: lars\n",
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"\n",
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"Loaded lars 1.2\n",
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"\n",
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"\n"
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]
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},
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"velib package:funFEM R Documentation\n",
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"\n",
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"_\bT_\bh_\be _\bV_\bé_\bl_\bi_\bb _\bd_\ba_\bt_\ba _\bs_\be_\bt\n",
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"\n",
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"_\bD_\be_\bs_\bc_\br_\bi_\bp_\bt_\bi_\bo_\bn:\n",
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"\n",
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" This data set contains data from the bike sharing system of Paris,\n",
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" called Vélib. The data are loading profiles of the bike stations\n",
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" over one week. The data were collected every hour during the\n",
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" period Sunday 1st Sept. - Sunday 7th Sept., 2014.\n",
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"\n",
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"_\bU_\bs_\ba_\bg_\be:\n",
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"\n",
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" data(velib)\n",
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" \n",
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"_\bF_\bo_\br_\bm_\ba_\bt:\n",
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"\n",
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" The format is:\n",
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"\n",
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" - data: the loading profiles (nb of available bikes / nb of bike\n",
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" docks) of the 1189 stations at 181 time points.\n",
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"\n",
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" - position: the longitude and latitude of the 1189 bike stations.\n",
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"\n",
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" - dates: the download dates.\n",
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"\n",
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" - bonus: indicates if the station is on a hill (bonus = 1).\n",
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"\n",
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" - names: the names of the stations.\n",
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"\n",
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"_\bS_\bo_\bu_\br_\bc_\be:\n",
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"\n",
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" The real time data are available at\n",
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" https://developer.jcdecaux.com/ (with an api key).\n",
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"\n",
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"_\bR_\be_\bf_\be_\br_\be_\bn_\bc_\be_\bs:\n",
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"\n",
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" The data were first used in C. Bouveyron, E. Côme and J. Jacques,\n",
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" The discriminative functional mixture model for the analysis of\n",
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" bike sharing systems, Preprint HAL n.01024186, University Paris\n",
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" Descartes, 2014.\n",
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"\n",
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"_\bE_\bx_\ba_\bm_\bp_\bl_\be_\bs:\n",
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"\n",
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" data(velib)\n",
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" matplot(t(velib$data[1:5,]),type='l',lty=1,col=2:5,xaxt='n',lwd=2,ylim=c(0,1))\n",
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" axis(1,at=seq(5,181,6),labels=velib$dates[seq(5,181,6)],las=2)\n",
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" "
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]
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}
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],
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"source": [
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"rm(list = ls()) # erase everything, start from scratch!\n",
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"\n",
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"# load the data from package funFEM\n",
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"\n",
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"library(funFEM)\n",
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"data(velib)\n",
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"help(\"velib\")"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [],
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"source": [
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"# data preparation\n",
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"x <- as.matrix(velib$data)\n",
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"colnames(x) <- 1:ncol(x)\n",
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"rownames(x) <- velib$names\n",
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"\n",
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"n <- nrow(x)\n",
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"stations <- 1:n \n",
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"coord <- velib$position[stations,]\n",
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"\n",
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"# select exactly 7 days of data (we remove the first 13 dates)\n",
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"dates <- 14:181\n",
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"x <- x[stations, dates]\n",
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"colnames(x) <- 1:length(dates)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {},
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"outputs": [
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{
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"data": {
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|
||
"text/plain": [
|
||
"Plot with title “ EURYALE DEHAYNIN”"
|
||
]
|
||
},
|
||
"metadata": {
|
||
"image/png": {
|
||
"height": 360,
|
||
"width": 900
|
||
}
|
||
},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"timeTick <- 1 + 24*(0:6) # vector corresponding to the beginning of days\n",
|
||
"par(mfrow = c(1, 1))\n",
|
||
"\n",
|
||
"options(repr.plot.width = 15, repr.plot.height = 6)\n",
|
||
"\n",
|
||
"plot(x[1, ], col = \"blue\", type = \"l\", ylim = c(0, 1), \n",
|
||
" xlab = \"Time\", ylab = \"Loading\", main = rownames(x)[1])\n",
|
||
"abline(v = timeTick, lty = \"dotted\")\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 4,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"# From now on, we use numbers instead of station names, \n",
|
||
"# in order to simplify printing\n",
|
||
"rownames(x) <- 1:nrow(x)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"# Descriptive statistics.\n",
|
||
"\n",
|
||
"Some ideas : \n",
|
||
"\n",
|
||
"1. Draw a matrix of plots of size 4*4, corresponding to the first 16 stations. (Do not forget the vertical lines corresponding to days).\n",
|
||
"2. Draw the boxplot of the variables, sorted in time order. \n",
|
||
"What can you say about the distribution of the variables? \n",
|
||
"Position, dispersion, symmetry? Can you see a difference between days?\n",
|
||
"3. Plot the average hourly loading for each day (on a single graph).\n",
|
||
"Comments? \n",
|
||
"4. Plot the stations coordinates on a 2D map (latitude versus longitude). Use the package ggmap (function 'qmplot') to visualize the average loading for a given hour (6h, 12h, 23h) as a color scale.\n",
|
||
"Comments ?\n",
|
||
"5. Use a different color for stations which are located on a hill. (Use the basis 'plot' function, and the function 'qmplot' of R package ggmap).\n",
|
||
"6. Redo questions 1-3 for the subset of stations which are located on a hill. Same questions for those who are not. Comment?"
|
||
]
|
||
}
|
||
],
|
||
"metadata": {
|
||
"kernelspec": {
|
||
"display_name": "R",
|
||
"language": "R",
|
||
"name": "ir"
|
||
},
|
||
"language_info": {
|
||
"codemirror_mode": "r",
|
||
"file_extension": ".r",
|
||
"mimetype": "text/x-r-source",
|
||
"name": "R",
|
||
"pygments_lexer": "r",
|
||
"version": "4.1.2"
|
||
},
|
||
"toc": {
|
||
"base_numbering": 1,
|
||
"nav_menu": {},
|
||
"number_sections": true,
|
||
"sideBar": true,
|
||
"skip_h1_title": false,
|
||
"title_cell": "Table of Contents",
|
||
"title_sidebar": "Contents",
|
||
"toc_cell": false,
|
||
"toc_position": {},
|
||
"toc_section_display": true,
|
||
"toc_window_display": false
|
||
}
|
||
},
|
||
"nbformat": 4,
|
||
"nbformat_minor": 4
|
||
}
|