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Hacky notebook attempt to plot seaborn figures on multiple subplot axes.
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"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Plotting multiple subplot axes with seaborn"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This seems really trivial but it has eluded me thus far.\n",
"\n",
"I want to add seaborn plots arbitrarily to a matplotlib plot. \n",
"\n",
"Something like the equivalent of\n",
"\n",
"```python\n",
"from matplotlib import pyplot as plt\n",
"from seaborn import lmplot\n",
"fig, ax = plt.subplots(nrows=1, ncols=3)\n",
"ax[0].plot(..)\n",
"```\n",
"\n",
"or, similarly, as one might do with a pandas dataframe:\n",
"\n",
"```python\n",
"df.X.hist(axes=ax[0])\n",
"```\n",
"\n",
"...but with the results of lmplot, regplot, etc."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The more complex seaborn functions don't appear to return axes or accept them as input args. So I would like to do something like this\n",
"\n",
"\n",
"```python\n",
"lmplot(...); \n",
"ax = plt.gca()\n",
"```\n",
"\n",
"or \n",
"\n",
"```python\n",
"f = plt.gcf()\n",
"```\n",
"\n",
"...and then adding ax or f to the original subplot. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"But matplotlib doesn't want to let me do this and I'm not going to spend all day on it. So the hacky solution below is to save each plot to a .png file, recombine within subplots using imshow, and then save again as a final figure. \n",
"\n",
"If anyone has any ideas on how to achieve the suggestions above with axes etc., rather than saving to file, that would be nice to know. \n",
"\n",
"<div align=\"right\"> J Grif 24/01/2014</div>"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Setup"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from IPython.display import Image\n",
"\n",
"import numpy as np\n",
"from numpy import mean\n",
"from numpy.random import randn\n",
"import statsmodels.formula.api as sm\n",
"import pandas as pd\n",
"from scipy import stats\n",
"\n",
"import seaborn as sns\n",
"import matplotlib as mpl\n",
"import matplotlib.pyplot as plt"
],
"language": "python",
"metadata": {
"run_control": {
"breakpoint": false
}
},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"sns.set(palette=\"Purples_r\")\n",
"np.random.seed(9221999)\n",
"mpl.rc(\"figure\", figsize=(5, 5))"
],
"language": "python",
"metadata": {
"run_control": {
"breakpoint": false
}
},
"outputs": [],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Example is based on seaborn linear model notebook\n",
"#http://nbviewer.ipython.org/github/mwaskom/seaborn/blob/master/examples/linear_models.ipynb \n",
"x1 = randn(80)\n",
"x2 = randn(80)\n",
"x3 = x1 * x2\n",
"y1 = .5 + 2 * x1 - x2 + 2.5 * x3 + 3 * randn(80)\n",
"y2 = .5 + 2 * x1 - x2 + 2.5 * randn(80)\n",
"y3 = y2 + randn(80)\n",
"y_logistic = 1 / (1 + np.exp(-y1))\n",
"y_flip = [np.random.binomial(1, p) for p in y_logistic]\n",
"df = pd.DataFrame(dict(x1=x1, x2=x2, x3=x3, y1=y1, y2=y2, y3=y3, y_flip=y_flip))\n",
"d = randn(100, 30)"
],
"language": "python",
"metadata": {
"run_control": {
"breakpoint": false
}
},
"outputs": [],
"prompt_number": 9
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"This is it. "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig_outfile = '/tmp/finalfig.png'\n",
"\n",
"# Plot the three figs and save to temp files\n",
"sns.lmplot('y1', 'x1', df, x_partial='x2',size=4); plt.savefig('/tmp/f1.png',bbox_inches='tight'); plt.close()\n",
"sns.lmplot('y1', 'x2', df, x_partial='x1',size=4); plt.savefig('/tmp/f2.png',bbox_inches='tight'); plt.close()\n",
"sns.lmplot('x1', 'x2', df, x_partial='y1',size=4); plt.savefig('/tmp/f3.png',bbox_inches='tight'); plt.close()\n",
"\n",
"# Combine them with imshows\n",
"fig, ax = plt.subplots(nrows=1, ncols=3, figsize=(10,4))\n",
"for a in [1,2,3]: ax[a-1].imshow(plt.imread('/tmp/f%s.png' %a)); ax[a-1].axis('off')\n",
"plt.tight_layout(); plt.savefig(fig_outfile,bbox_inches='tight'); plt.close() # dpi = 200\n",
"\n",
"# Display in notebook as an image\n",
"Image(fig_outfile, width=\"100%\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {
"png": {
"width": "100%"
}
},
"output_type": "pyout",
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9mZmZbd4NOxgMUlp6kfffX8euXTvIy+vGo48uZvjwkZJUi5hy+XIZWVlZJCen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\nxuaht7hYWlrC1tYWtbW1AFouPK2treHp6Sk4z/1+9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"prompt_number": 11,
"text": [
"<IPython.core.display.Image at 0x68ab6d0>"
]
}
],
"prompt_number": 11
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {
"run_control": {
"breakpoint": false
}
},
"outputs": []
}
],
"metadata": {}
}
]
}
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