ReCoDE_MCMCFF/learning/07 Producing research outputs.ipynb

284 lines
185 KiB
Plaintext

{
"cells": [
{
"cell_type": "markdown",
"id": "5ac56056-ca33-4f13-8e36-564b94144c1e",
"metadata": {
"tags": []
},
"source": [
"<h1 align=\"center\">Markov Chain Monte Carlo for fun and profit</h1>\n",
"<h1 align=\"center\"> 🎲 ⛓️ 👉 🧪 </h1>"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "eb5d773e-4cc0-48ae-bb71-7ece7ab5f936",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from numba import jit\n",
"\n",
"# This loads some custom styles for matplotlib\n",
"import json, matplotlib\n",
"\n",
"with open(\"assets/matplotlibrc.json\") as f:\n",
" matplotlib.rcParams.update(json.load(f))\n",
"\n",
"np.random.seed(\n",
" 42\n",
") # This makes our random numbers reproducable when the notebook is rerun in order"
]
},
{
"cell_type": "markdown",
"id": "fd49fb0b-71b6-492f-9f46-082ad3bc3905",
"metadata": {},
"source": [
"## Making some measurments \n",
"\n",
"So now that we have the ability to simulate our system lets do a little exploration. First let's take three temperatures at each we'll do 10 runs and see how the systems evolve. I'll also tack on a little histogram at the right hand side of where the systens spent their time."
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "e26963ee-dd2b-47d3-b088-4e1068fac6b0",
"metadata": {},
"outputs": [],
"source": [
"from MCFF.mcmc import mcmc_generator\n",
"\n",
"### The measurement we will make ###\n",
"def average_color(state):\n",
" return np.mean(state)\n",
"\n",
"\n",
"### Simulation Inputs ###\n",
"N = 20 # Use an NxN system\n",
"Ts = [10, 4.5, 3] # What temperatures to use\n",
"steps = 200 # How many times to sample the state\n",
"stepsize = N**2 # How many individual monte carlo flips to do in between each sample\n",
"N_repeats = 10 # How many times to repeat each run at fixed temperature\n",
"initial_state = np.ones(shape=(N, N)) # the intial state to use\n",
"flips = (\n",
" np.arange(steps) * stepsize\n",
") # Use this to plot the data in terms of individual flip attemps\n",
"\n",
"### Simulation Code ###\n",
"average_color_data = np.array(\n",
" [\n",
" [\n",
" [\n",
" average_color(s)\n",
" for s in mcmc_generator(\n",
" initial_state, steps=steps, stepsize=stepsize, T=T\n",
" )\n",
" ]\n",
" for _ in range(N_repeats)\n",
" ]\n",
" for T in Ts\n",
" ]\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "ce10544d-85fe-49ee-8b4a-63ffd4982ed2",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 1080x504 with 6 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# It's always good to separate you plotting from your data generation\n",
"from itertools import count\n",
"\n",
"fig, axes = plt.subplots(\n",
" figsize=(15, 7),\n",
" nrows=3,\n",
" ncols=2,\n",
" sharey=\"all\",\n",
" sharex=\"col\",\n",
" gridspec_kw=dict(hspace=0, wspace=0, width_ratios=(4, 1)),\n",
")\n",
"\n",
"for i, ax, hist_ax in zip(count(), axes[:, 0], axes[:, 1]):\n",
" c = average_color_data[i]\n",
" indiv_line, *_ = ax.plot(flips, c.T, alpha=0.4, color=\"k\", linewidth=0.9)\n",
" (mean_line,) = ax.plot(flips, np.mean(c, axis=0))\n",
" hist_ax.hist(c.flatten(), orientation=\"horizontal\", label=f\"T = {Ts[i]}\")\n",
"\n",
"axes[-1, 0].set(xlabel=f\"Monte Carlo Flip Attempts\")\n",
"axes[-1, 1].set(xlabel=\"Probability Density\")\n",
"axes[1, 0].set(ylabel=r\"Average Color $\\langle c \\rangle$\")\n",
"axes[-1, 0].legend([mean_line, indiv_line], [\"Mean\", \"Individual walker\"])\n",
"for ax in axes[:, 1]:\n",
" ax.legend(loc=4)"
]
},
{
"cell_type": "markdown",
"id": "bf1877e6-28c5-46a2-8927-9a90886a0498",
"metadata": {},
"source": [
"There are a few key takeaways about MCMC in this plot:\n",
"\n",
"- It takes a while for MCMC to 'settle in', you can see that for T = 10 the natural state is somewhere around c = 0, which takes about 2000 steps to reach from the initial state with c = 1. In general when doing MCMC we want to throw away some of the values at the beginging because they're too affected by the initial state.\n",
"- At High and Low temperatures the we basically just get small fluctuations about an average value\n",
"- At intermediate temperature the fluctuations occur on much longer time scales! Because the systems can only move a little bit each timestep, it means that the measurements we are making are *correlated* with themselves at previous times. The result of this is that if we use MCMC to draw N samples, we don't get as much information as if we had drawn samples from an uncorrelated variable (like a die roll for instance)."
]
},
{
"cell_type": "markdown",
"id": "a61f1f4b-dde1-489f-beed-228dcc99d2c7",
"metadata": {},
"source": [
"## Average Color and 'Susceptability'\n",
"\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "e9531eb9-6ff8-4587-8c8a-09bf6a9bcebb",
"metadata": {},
"outputs": [],
"source": [
"### The measurement we will make ###\n",
"def average_color(state):\n",
" return np.mean(state)\n",
"\n",
"\n",
"### Simulation Inputs ###\n",
"Ns = np.array(\n",
" [\n",
" 30,\n",
" ]\n",
") # Use an NxN system\n",
"Ts = np.linspace(4, 5.5, 20) # What temperatures to use\n",
"steps = 1000 # How many times to sample the state\n",
"stepsize = (\n",
" lambda N: N**2\n",
") # How many individual monte carlo flips to do in between each sample\n",
"N_repeats = 2 # How many times to repeat each run at fixed temperature\n",
"\n",
"### Simulation Code ###\n",
"average_color_data = np.array(\n",
" [\n",
" [\n",
" [\n",
" [\n",
" average_color(s)\n",
" for s in mcmc_generator(\n",
" np.ones(shape=(N, N)), steps=steps, stepsize=stepsize(N), T=T\n",
" )\n",
" ]\n",
" for _ in range(N_repeats)\n",
" ]\n",
" for T in Ts\n",
" ]\n",
" for N in Ns\n",
" ]\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "e3a31e93-8592-433d-a5e8-3ace2e416b78",
"metadata": {},
"outputs": [],
"source": [
"mean_color = np.mean(average_color_data, axis=(-2, -1))\n",
"color_susceptability = np.std(average_color_data, axis=-1).mean(axis=-1)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "991b0f6a-8f9f-431c-b711-986d57d39b43",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fe778d76640>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(nrows=2, sharex=\"col\")\n",
"\n",
"for i, N in enumerate(Ns):\n",
" axes[0].plot(Ts, mean_color[i], label=f\"N = {N}\")\n",
" axes[1].plot(Ts, color_susceptability[i])\n",
"\n",
"axes[0].legend()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "387f2d36-cd20-4179-8fe5-c39e386ce20b",
"metadata": {},
"outputs": [],
"source": [
"### try combining mpiere, itertools.product and xarray"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python [conda env:recode]",
"language": "python",
"name": "conda-env-recode-py"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.12"
}
},
"nbformat": 4,
"nbformat_minor": 5
}