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Last active July 11, 2017 18:45
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UMAP digits [UNLISTED]
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import umap"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from sklearn.datasets import load_digits"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"digits = load_digits()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"embedding = umap.UMAP().fit_transform(digits.data)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import pandas as pd\n",
"from ggplot import *"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"# shape the data for ggplot\n",
"l = zip([row[0] for row in embedding], [row[1] for row in embedding], map(str, digits.target))\n",
"m = pd.DataFrame(list(l), columns=['x','y','type'])"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
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Cadi4u/5CbquZf5Y/vYhI/k3KUP3aa6+xceNGOjo6WLRoEb/3e7+XeW/fvn08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\nIiIiInlSqBYRERERydP/BwqAKgDvTjZrAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x111756f28>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"<ggplot: (-9223372036568033564)>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ggplot(aes(x='x', y='y', color='type'), data = m) +\\\n",
" geom_point() +\\\n",
" ggtitle(\"Digits UMAP\")"
]
},
{
"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": "3.6.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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