mirror of
https://github.com/vale981/phys512
synced 2025-03-06 01:51:39 -05:00
187 lines
178 KiB
Text
187 lines
178 KiB
Text
{
|
|
"cells": [
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "438a07af",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Metropolis-Hastings"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 1,
|
|
"id": "3eade768",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"import numpy as np\n",
|
|
"import matplotlib.pyplot as plt\n",
|
|
"import scipy.integrate\n",
|
|
"\n",
|
|
"seed = 239\n",
|
|
"rng = np.random.default_rng(seed)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"id": "087a3409",
|
|
"metadata": {
|
|
"scrolled": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Acceptance fraction = 0.3567\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 0 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 400x700 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"def f(x):\n",
|
|
" return np.exp(-np.abs(x**3))\n",
|
|
"\n",
|
|
"N = 10**4 # generate N samples\n",
|
|
"\n",
|
|
"x = np.zeros(N)\n",
|
|
"x[0] = 0 # starting point\n",
|
|
"\n",
|
|
"count = 0\n",
|
|
"\n",
|
|
"for i in range(N-1):\n",
|
|
" \n",
|
|
" # Proposal\n",
|
|
" x_try = x[i] + rng.normal(scale = 2) \n",
|
|
"\n",
|
|
" # Accept the move or stay where we are\n",
|
|
" u = rng.uniform()\n",
|
|
" if u <= f(x_try) / f(x[i]):\n",
|
|
" x[i+1] = x_try\n",
|
|
" count = count + 1\n",
|
|
" else:\n",
|
|
" x[i+1] = x[i]\n",
|
|
"\n",
|
|
"print(\"Acceptance fraction = %g\" % (count/N,))\n",
|
|
"\n",
|
|
"# Also do uniform sampling for comparison\n",
|
|
"xmax = 4\n",
|
|
"xu = -xmax + 2*xmax*rng.uniform(size = 10*N) # Generate x values between +-xmax\n",
|
|
"y = rng.uniform(size = 10*N)\n",
|
|
"xu = xu[np.where(y <= f(xu))] \n",
|
|
"xu = xu[:N]\n",
|
|
" \n",
|
|
"# Plot the distribution \n",
|
|
"counts, bins = np.histogram(x, bins=100, density = True)\n",
|
|
"plt.stairs(counts, bins, label = 'Metropolis') \n",
|
|
"\n",
|
|
"counts, bins = np.histogram(xu, bins=100, density = True)\n",
|
|
"plt.stairs(counts, bins, label = 'Rejection method') \n",
|
|
"\n",
|
|
"norm,_ = scipy.integrate.quad(f,-np.inf,np.inf)\n",
|
|
"xx = np.linspace(min(x),max(x),1000)\n",
|
|
"plt.plot(xx, f(xx)/norm, 'k:')\n",
|
|
"\n",
|
|
"plt.yscale('log')\n",
|
|
"\n",
|
|
"plt.legend()\n",
|
|
"plt.show()\n",
|
|
"\n",
|
|
"# Plot the first 1000 samples to see the time series\n",
|
|
"plt.clf()\n",
|
|
"t = np.arange(N)\n",
|
|
"plt.plot(t[:1000], x[:1000])\n",
|
|
"plt.plot(t[:1000], xu[:1000] - 3.5)\n",
|
|
"plt.show()\n",
|
|
"\n",
|
|
"# Plot the point-to-point correlation\n",
|
|
"plt.clf()\n",
|
|
"plt.figure(figsize=(4,7))\n",
|
|
"plt.plot(x[:-1], x[1:], '.')\n",
|
|
"plt.plot(xu[:-1], xu[1:] - 3.5, '.')\n",
|
|
"plt.show()\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "49118673",
|
|
"metadata": {},
|
|
"source": [
|
|
"Notes:\n",
|
|
"\n",
|
|
"- We started at $x=0$ which is right in the middle of the high probability region. If instead you start at a point that has a low probability (e.g. try $x=-5$ as initial condition in line 7), you will see that the chain has a \"burn in\" period in which it moves towards the higher probability regions. The part of the chain should be discarded. \n",
|
|
"- The time series for the MCMC shows clear correlations, whereas the rejection method samples are uncorrelated. This can be seen in the plot of $x_i$ vs $x_{i+1}$ -- in particular you can see the line of points where the proposed jump was not accepted.\n",
|
|
"- Try changing the `scale` in the normal distribution we're using for the jump and see how the acceptance ratio and the correlations behave. You want to choose a jump size that is large enough to explore the probability distribution, but small enough to get a reasonable acceptance rate for the jumps. An acceptance rate of around $0.2$--$0.3$ is good to aim for."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "5503d1cb",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3 (ipykernel)",
|
|
"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": "3.11.4"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 5
|
|
}
|