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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"______\n",
"### Matriz de correlación\n",
"\n",
"Construyamos la **matriz de correlación** de nuestro dataset para las características que, hasta ahora, hemos visto nos pueden ofrecer más información respecto a la clase a la que pertenece un determinado objeto:"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [],
"source": [
"class_mapper = {'STAR': 0, 'GALAXY': 1, 'QSO': 2}"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [],
"source": [
"inv_class_mapper = {v: k for k, v in class_mapper.items()}"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [],
"source": [
"df['class']=df['class'].map(class_mapper)"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [],
"source": [
"features = ['u', 'g', 'r', 'i', 'z', 'redshift', 'class']"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [],
"source": [
"corr = df[features].corr()"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x12293f6e400>"
]
},
"execution_count": 45,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.heatmap(corr, annot=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Como vemos, el `redshift`, y las bandas `u`, `g` y `r` son los atributos con mayor correlación con la clase."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"latex_envs": {
"LaTeX_envs_menu_present": true,
"autoclose": false,
"autocomplete": true,
"bibliofile": "biblio.bib",
"cite_by": "apalike",
"current_citInitial": 1,
"eqLabelWithNumbers": true,
"eqNumInitial": 1,
"hotkeys": {
"equation": "Ctrl-E",
"itemize": "Ctrl-I"
},
"labels_anchors": false,
"latex_user_defs": false,
"report_style_numbering": false,
"user_envs_cfg": false
},
"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": true,
"toc_position": {},
"toc_section_display": true,
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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