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@ColCarroll
Created November 24, 2018 21:52
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import arviz as az\n",
"from IPython.display import HTML\n",
"from matplotlib.animation import FuncAnimation\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import scipy.stats as st\n",
"\n",
"\n",
"FIGSIZE = (9, 6)\n",
"az.style.use('arviz-white')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Animated MCMC with Matplotlib\n",
"\n",
"## 1. Write down an interesting distribution\n",
"\n",
"A _mixture of Gaussians_ is different from a sum of Gaussians, in that it is not Gaussian itself, but it is visually interesting, can be difficult to generate independent samples from, and _knows many secrets_.\n",
"\n",
"Here is an implementation that mostly follows the API of `scipy.stats` in that it provides a `.pdf` method for the _probability density function_, and a `.rvs` function to provide random samples. If the `rvs` function looks a little complicated, it is because [shapes can be hard in high dimensions](https://github.com/pymc-devs/pymc3/issues?q=is%3Aissue+is%3Aopen+label%3Ashape_problem), ok?\n",
"\n",
"We can use the `.rvs` method to view the density of this distribution."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 648x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"class MixtureOfGaussians:\n",
" \"\"\"Two standard normal distributions, centered at +2 and -2.\"\"\"\n",
" def __init__(self):\n",
" self.components = [st.norm(-2, 1), st.norm(2, 1)]\n",
" self.weights = np.array([0.5, 0.5])\n",
" \n",
" def pdf(self, x):\n",
" return self.weights.dot([component.pdf(x) for component in self.components])\n",
" \n",
" def rvs(self, size=1):\n",
" idxs = np.random.randint(0, 2, size=size)\n",
" result = np.empty(size)\n",
" for idx, component in enumerate(self.components):\n",
" spots, = np.where(idxs==idx)\n",
" result[spots] = component.rvs(size=spots.shape[0])\n",
" return result\n",
" \n",
"az.plot_kde(MixtureOfGaussians().rvs(10_000), figsize=FIGSIZE);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2. Write down MCMC\n",
"\n",
"There are a few software libraries for doing this sort of thing [[1](https://docs.pymc.io/)][[2](http://mc-stan.org/)][[3](http://edwardlib.org/)][[4](https://emcee.readthedocs.io/en/stable/)][[5](http://pyro.ai/)][[6](https://dotnet.github.io/infer/)][[7](https://www.tensorflow.org/probability/)], but we can use 8 stripped down lines. \n",
"\n",
"You should look up the Metropolis algorithm if you are not familiar! It is beautiful and important. Also, [don't use it](https://colindcarroll.com/2018/01/01/bad-traces-or-dont-use-metropolis/).\n",
"\n",
"In general, this lets you generate draws from a probability distribution, given access to the probability density function. So we will _pretend_ we did not implement `.rvs` above, and generate samples using only the `.pdf` method."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"def metropolis_sample(pdf, *, steps, step_size, init=0.):\n",
" \"\"\"Metropolis sampler with a normal proposal.\"\"\"\n",
" point = init\n",
" samples = []\n",
" for _ in range(steps):\n",
" proposed = st.norm(point, step_size).rvs()\n",
" if np.random.rand() < pdf(proposed) / pdf(point):\n",
" point = proposed\n",
" samples.append(point)\n",
" return np.array(samples)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3. Find a visually pleasing set of draws\n",
"\n",
"This is more art that science, but the animation looks nice if the draws:\n",
"\n",
"1. Are correlated\n",
"2. Switch between modes pretty often\n",
"3. End up with a histogram that is \"close\" to the true one\n",
"4. Have about 3,000 draws (the animation ends up being ~30s long)\n",
"\n",
"I found a random seed that did all this, by looking at the [trace plot](https://arviz-devs.github.io/arviz/examples/plot_trace.html). The seed was 0, but I was ready to do some real work on it."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x144 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"seed = 0\n",
"np.random.seed(seed)\n",
"samples = metropolis_sample(MixtureOfGaussians().pdf, steps=3_000, step_size=0.4)\n",
"az.plot_trace(samples);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 4. Prepare the static plot\n",
"\n",
"Influenced by [Bret Beheim's visualizations with tweenr](https://twitter.com/babeheim/status/1063792960377053185), I was looking for a plot with a similar aesthetic. \n",
"\n",
"To do that, I have to \n",
"1. Bucket the data into discrete bins (using `np.digitize`)\n",
"2. Set a y-value for each data point. I just count upwards from 0 for each bin, then divide by the max, so I know it is between 0 and 1.\n",
"\n",
"There is also a bunch of matplotlib styling at the bottom, to make everything look beautiful. I use the `viridis` color map to show which draw I am on. Later draws will be yellower."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 648x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"hi, lo = samples.max(), samples.min()\n",
"x = np.linspace(lo, hi, 100)\n",
"bins = np.digitize(samples, x, right=True)\n",
"\n",
"counter = np.zeros_like(bins) # y values\n",
"counts = np.zeros_like(x) # keep track of how points are already in each bin\n",
"for idx, bin_ in enumerate(bins):\n",
" counts[bin_] += 1\n",
" counter[idx] = counts[bin_]\n",
"counter = counter / counter.max()\n",
"\n",
"\n",
"# Mess with plot styles here, since it is cheaper than animating\n",
"fig, ax = plt.subplots(figsize=FIGSIZE)\n",
"ax.set_ylim(0, 1)\n",
"ax.set_xlim(bins.min(), bins.max())\n",
"ax.spines['right'].set_visible(False)\n",
"ax.spines['top'].set_visible(False)\n",
"ax.spines['left'].set_visible(False)\n",
"\n",
"ax.set_xticks([])\n",
"ax.get_yaxis().set_visible(False)\n",
"cmap = plt.get_cmap('viridis')\n",
"colors = cmap(np.linspace(0, 1, bins.shape[0]))\n",
"\n",
"\n",
"ax.scatter(bins, counter, marker='.', facecolors=colors);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 5. Make the animation\n",
"\n",
"This is taken pretty directly from the [matplotlib animation docs](https://matplotlib.org/api/animation_api.html), but I am using `scatter` instead of `plot` so that I can change colors of already plotted points. This means in the `update` step, I use `set_offsets` instead of `set_data`.\n",
"\n",
"The falling animation is done with the `offset` below. The y-axis goes from 0 to 1, and each step I add a new particle. If each particle moves δ each step, then after, 10 steps, the y positions of the first 10 particles will be:\n",
"\n",
"```\n",
"y0 -> 1 - 10δ\n",
"y1 -> 1 - 9δ\n",
"y2 -> 1 - 8δ\n",
"...\n",
"```\n",
"until it reaches the true `y` position. If you scribble on some paper, you can convince yourself this is equivalent to something like `(np.arange(n) - n) * δ`, then taking the maximum of that and the true position."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
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