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{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Dimension Reduction with UMAP and Plotly Scatterplot"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This is a workflow I use often in data exploration. UMAP gives a good representation of high-dimensional data, and Bokeh is helpful in creating a simple interactive plots with contextual info given by colors and tooltips. \n",
"\n",
"Compared to TSNE, I've found UMAP much faster and capable of handling larger datasets\n",
"\n",
"This workflow has been extremely helpful for:\n",
"\n",
"- text analytics/NLP tasks if text data is passed through a `TfidfVectorizer` or similar from `scikit-learn`\n",
"- understanding `word2vec` or `doc2vec` vectors by passing them to UMAP\n",
"- getting an idea of *separability* in doing prediction / classification by passing the outcome variable to bokeh\n",
"\n",
"This example uses the [Australian atheletes data set](http://math.furman.edu/~dcs/courses/math47/R/library/DAAG/html/ais.html), which contains 11 numeric variables. This workflow is even more helpful on larger datsets with higher dimensionality.\n",
"\n",
"### References\n",
"\n",
"> Uniform Manifold Approximation and Projection (UMAP) is a dimension reduction technique that can be used for visualisation similarly to t-SNE, but also for general non-linear dimension reduction. \n",
"\n",
"[UMAP: Uniform Manifold Approximation and Projection](https://umap-learn.readthedocs.io/en/latest/)\n",
"\n",
"> Plotly's Python graphing library makes interactive, publication-quality graphs online. \n",
"\n",
"[Plotly: Python](https://plot.ly/python/)\n",
"\n",
"---"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
" \n",
" "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import warnings\n",
"\n",
"import pandas as pd\n",
"import plotly.graph_objs as go\n",
"from plotly.offline import download_plotlyjs, init_notebook_mode, iplot\n",
"from statsmodels.api import datasets\n",
"from umap import UMAP\n",
"\n",
"init_notebook_mode(connected=True)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"ais = datasets.get_rdataset(\"ais\", \"DAAG\")\n",
"data = ais['data']"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
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" rcc wcc hc hg ferr bmi ssf pcBfat lbm ht wt sex \\\n",
"0 3.96 7.5 37.5 12.3 60 20.56 109.1 19.75 63.32 195.9 78.9 f \n",
"1 4.41 8.3 38.2 12.7 68 20.67 102.8 21.30 58.55 189.7 74.4 f \n",
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"source": [
"data.head()"
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{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"data_numeric = data.select_dtypes(exclude=['object'])"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"umap = UMAP(random_state=666)\n",
"\n",
"# verbose numba warning with umap-learn==0.3.9\n",
"# see: https://github.com/lmcinnes/umap/issues/252\n",
"\n",
"with warnings.catch_warnings():\n",
" warnings.simplefilter(\"ignore\")\n",
" umap_data = umap.fit_transform(data_numeric)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Formatting data for Plotly\n",
"The easiest/cleanest way to get data into plotly is to put everything you'll need (original data, UMAP values, point colorings/other metadata) into a single data frame. "
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"umap_df = pd.DataFrame(umap_data, columns=['Component 1', 'Component 2'], index=data.index)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"data_all = pd.concat([data, umap_df], axis=1)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"category = \"sex\"\n",
"\n",
"colormap = {v: i for i, v in enumerate(data_all[category].unique())}\n",
"data_all[\"color\"] = data_all[category].map(colormap)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
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" rcc wcc hc hg ferr bmi ssf pcBfat lbm ht wt sex \\\n",
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"data_all.head()"
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{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Creating the Plot"
]
},
{
"cell_type": "code",
"execution_count": 10,
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"title": {
"text": "Australian Athletes Data by Gender - UMAP"
}
}
},
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"\n",
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" \n",
"
\n",
" \n",
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"
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"source": [
"title = \"Australian Athletes Data by Gender - UMAP\"\n",
"\n",
"text = []\n",
"for row in data.iterrows():\n",
" tooltip = \"
\".join([f\"{k}: {row[1][k]}\" for k in row[1].index])\n",
" text.append(tooltip)\n",
"\n",
"fig_data = [\n",
" go.Scatter(\n",
" x=data_all[\"Component 1\"],\n",
" y=data_all[\"Component 2\"],\n",
" text=text,\n",
" mode=\"markers\",\n",
" hoverinfo=\"text\",\n",
" marker={\"color\": data_all[\"color\"], \"colorscale\" : \"RdBu\"},\n",
" )\n",
"]\n",
"\n",
"layout = {\"hovermode\": \"closest\", \"title\" : title}\n",
"\n",
"figure = go.Figure(data=fig_data, layout=layout)\n",
"\n",
"iplot(figure)"
]
},
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