diff --git a/code/docs/learning/01 Introduction.ipynb b/code/docs/learning/01 Introduction.ipynb new file mode 100644 index 0000000..0afc7b7 --- /dev/null +++ b/code/docs/learning/01 Introduction.ipynb @@ -0,0 +1,624 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "0aadee51-c8d7-4b72-b281-bf2daca49811", + "metadata": { + "tags": [] + }, + "source": [ + "

Markov Chain Monte Carlo for fun and profit

\n", + "

๐ŸŽฒ โ›“๏ธ ๐Ÿ‘‰ ๐Ÿงช

\n", + "\n", + "# Introduction\n", + "\n", + "Hello and welcome to the documentation for MCMCFF! These notebooks will guide you through the process of writing a medium sized scientific software project, discussing the decision and tradeoffs made along the way.\n", + "\n", + "## Setting up your environment\n", + "\n", + "It's strongly encouraged that you follow along this notebook in an enviroment where you can run the cells yourself and change them. You can either clone this git repository and run the cells in a python environment on your local machine, or if you for some reason can't do that (because you're an a phone or tablet for instance) you can instead open this notebook in [binder](link)\n", + "\n", + "I would also suggest you setup a python environment just for this. You can use your preferred method to do this, but I will recomend `conda` because it's both what I currently use and what is recommeded by Imperial: LINK \n", + "\n", + "```bash\n", + "#make a new conda environment named recode, with python 3.9 and the packages in requirements.txt\n", + "conda env create --name recode python=3.9 --file requirements.txt\n", + "\n", + "#activate the environment\n", + "conda activate recode\n", + "```\n", + "\n", + "## The Problem\n", + "\n", + "So without further ado lets talk about the problem we'll be working on, you don't necessaryily need to understand the full details of this to learn the important lessons but I will give a quick summary here. We want to simulate a physical model called the **Ising model**, which is famous in physics because it's about the simplest thing you can come up with that displays a phase transition, a special kind of shift between two different behaviours." + ] + }, + { + "cell_type": "markdown", + "id": "e2e5299a-5e20-417f-a62e-ce47d018d542", + "metadata": {}, + "source": [ + "I'm going to weave exposition and code here so don't mind if I just take a moment to impor some packages and do some housekeeping:" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "ee600e16-506b-4676-8d84-16b415338191", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\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": "e52245f1-8ecc-45f1-8d52-337916b0ce7c", + "metadata": {}, + "source": [ + "We're going to be working with arrays of numbers so it will make sense to work with `Numpy` and we'll also want to plot things, the standard choice for this is `matplotlib`, though there are other options, `pandas` and `plotly` being notable ones.\n", + "\n", + "Let me quickly plot something to aid the imagination:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "7b05be8f-9edb-4742-bbfc-e892cc09b82b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "state = np.random.choice([-1, 1], size=(100, 100))\n", + "\n", + "\n", + "def show_state(state, ax=None):\n", + " if ax is None:\n", + " f, ax = plt.subplots()\n", + " ax.matshow(state, cmap=\"Greys\", vmin=-1, vmax=1)\n", + " ax.set(xticks=[], yticks=[])\n", + "\n", + "\n", + "show_state(state)" + ] + }, + { + "cell_type": "markdown", + "id": "9a919be9-2737-4d79-9607-4daf3b457364", + "metadata": {}, + "source": [ + "In my head, the Ising model is basically all about peer pressure. You're a tiny creature and you live in a little world where you can only be one of two things, up/down, left/right, in/out doesn't matter. \n", + "\n", + "But what *does matter* is that you're doing the same thing as you're neighbours. We're going to visualise this with images like the above, representing the two different camps, though at the moment what I've plotted is random, there's no peer pressure going on yet.\n", + "\n", + "The way that a physicist would quantify this peer pressure is to assign a number to each state, lower numbers meaning more of the little creatures are doing the same thing as their neighbours. We'll call this the Energy, because physicists always call things Energy, that's just what we do.\n", + "\n", + "To calculate the energy what we're gonna do is look at all the pixels/creatures, and for each one, we look at the four neighbours to the N/E/S/W, everytime we find a neighbour that agrees, we'll subtract 1 from our total and every time we find neighbours that disagree we'll add 1 to our total. Creatures at the edges will simply have fewer neighbours to worry about. \n", + "\n", + "I'll show you what the equation for this looks like, but don't worry to much about it, the word description should be enough to write some code. If we assign the ith creature the label $s_i = \\pm1$ then the energy is \n", + "$$E = \\sum_{(i,j)} s_i s_j$$\n", + "\n", + "Ok let's do some little tests, let's make the all up, all down and random state and see if we can compute their energies." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "340a78e7-6c1d-4742-8dca-6d3bea492856", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "all_up = np.ones([100, 100])\n", + "all_down = -np.ones([100, 100])\n", + "random = np.random.choice([-1, 1], size=(100, 100))\n", + "\n", + "from matplotlib.image import imread\n", + "\n", + "custom = (\n", + " 1 - 2 * imread(\"data/test_state.png\")[:, :, 0]\n", + ") # load a 100x100 png, take the red channel, remap 0,1 to -1,1\n", + "\n", + "states = [all_up, all_down, random, custom]\n", + "\n", + "f, axes = plt.subplots(ncols=4, figsize=(20, 5))\n", + "for ax, state in zip(axes, states):\n", + " show_state(state, ax=ax)" + ] + }, + { + "cell_type": "markdown", + "id": "2ed02839-81c0-45ff-87c9-a429ea8ccf51", + "metadata": {}, + "source": [ + "If you stare at the first two long enough you'll realise we can figure out the energy of all_up and all_down without writing any code at all:\n", + "\n", + "
\n", + "\n", + "
\n", + "\n", + "So we know that for the first two:\n", + "$$E = \\frac{1}{L^2} (4(L-2)^2 + 12(L-2) + 8)$$\n", + "\n", + "And for the random case we can make a pretty good guess that it should be zero on average. And the last we will just use to as a testcase." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "c2e63baa-8d97-41f3-9070-013aa6bf83bd", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "For L = 100, We predict E = -39600\n" + ] + } + ], + "source": [ + "def E_prediction_all_the_same(L):\n", + " return -(4 * (L - 2) ** 2 + 12 * (L - 2) + 8)\n", + "\n", + "\n", + "L = 100\n", + "print(f\"For L = {L}, We predict E = {E_prediction_all_the_same(L)}\")" + ] + }, + { + "cell_type": "markdown", + "id": "8351475b-73cb-4cd9-9fe8-3b60af0b5a6a", + "metadata": {}, + "source": [ + "## Exercise 1: Write a function to compute the energy of a state\n", + "\n", + "See if you can write a function that calculates the energy and reproduces all the above cases. " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "36ac021b-1da4-48d1-9cad-6ae3ba1e7e61", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# you are welcome to solve this in any way you like, I've just filled out a very simple way to do it\n", + "def energy(state):\n", + " E = 0\n", + " N, M = state.shape\n", + " for i in range(N):\n", + " for k in range(M):\n", + " # your code goes here\n", + " pass\n", + " return E / (N * M)\n", + "\n", + "\n", + "expected_values = [\n", + " E_prediction_all_the_same(100),\n", + " E_prediction_all_the_same(100),\n", + " 0,\n", + " \"???\",\n", + "]\n", + "\n", + "f, axes = plt.subplots(ncols=2, nrows=2, figsize=(10, 10))\n", + "axes = axes.flatten()\n", + "for ax, state, exp_value in zip(axes, states, expected_values):\n", + " show_state(state, ax=ax)\n", + " ax.text(\n", + " 0,\n", + " -0.1,\n", + " f\"Expected Value: {exp_value}, Your value: {energy(state)}\",\n", + " transform=ax.transAxes,\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "0ad5b92f-521f-48c2-9f5b-7950f5a3f931", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "## Solution\n", + "\n", + "\n", + "def energy(state):\n", + " E = 0\n", + " N, M = state.shape\n", + " for i in range(N):\n", + " for j in range(M):\n", + " # handle the north and south neighbours\n", + " for di in [1, -1]:\n", + " if 0 <= (i + di) < N:\n", + " E -= state[i, j] * state[i + di, j]\n", + "\n", + " # handle the east and west neighbours\n", + " for dj in [1, -1]:\n", + " if 0 <= (j + dj) < M:\n", + " E -= state[i, j] * state[i, j + dj]\n", + "\n", + " return E\n", + "\n", + "\n", + "expected_values = [\n", + " E_prediction_all_the_same(100),\n", + " E_prediction_all_the_same(100),\n", + " 0,\n", + " \"???\",\n", + "]\n", + "\n", + "f, axes = plt.subplots(ncols=2, nrows=2, figsize=(10, 10))\n", + "axes = axes.flatten()\n", + "for ax, state, exp_value in zip(axes, states, expected_values):\n", + " show_state(state, ax=ax)\n", + " ax.text(\n", + " 0,\n", + " -0.1,\n", + " f\"Expected Value: {exp_value}, Your value: {energy(state)}\",\n", + " transform=ax.transAxes,\n", + " )" + ] + }, + { + "cell_type": "markdown", + "id": "84ee0a62-6ab1-4565-a236-2ccfcc378acc", + "metadata": {}, + "source": [ + "It's a bit tricky to know what to do with the random value, let's try running it 100 times and see what we get:" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "686782b5-aa37-4084-9786-538fdc89fef1", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "mean = -0.24, standard error = 29.819071481184658\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "L = 100 # How large the system should be\n", + "N = 100 # How many random samples to use\n", + "energies = [energy(np.random.choice([-1, 1], size=(L, L))) for _ in range(N)]\n", + "plt.hist(energies)\n", + "print(f\"mean = {np.mean(energies)}, standard error = {np.std(energies) / np.sqrt(N)}\")" + ] + }, + { + "cell_type": "markdown", + "id": "8da38c5b-f166-4530-b046-3600b4d84c5d", + "metadata": {}, + "source": [ + "If you run this a few times you'll see the mean is usually within a few standard errors of 0, which gives us some confidence. In the testing section we will discuss how we might go about doing automated tests of random variables like this. " + ] + }, + { + "cell_type": "markdown", + "id": "3bd3831b-f8de-4a8e-aaf6-7aa158cf9d82", + "metadata": {}, + "source": [ + "### Making it a little faster\n", + "\n", + "This project is not intended to focus on optimising for performance but it is worth putting a little effort into making this function faster so that we can run experiments more quickly later.\n", + "\n", + "The main thing that slows us down here is that we've written a 'tight loop' in pure python, the energy function is just a loop over the fundamental operation:\n", + "```python\n", + "E -= state[i,j] * state[i+di, j]\n", + "```\n", + "which in theoy only requires a few memory load operations, a multiply, an add and a store back to memory (give or take). However because Python is such a dynamic language, it will have to do extra things like check the type and methods of `state` and `E`, invoke their array access methods `object.__get__`, etc etc. We call this extra work overhead.\n", + "\n", + "In most cases the ratio of overhead to actual computation is not too bad, but here because the fundamental computation is so simple it's likely the overhead accounts for much more of the overal time.\n", + "\n", + "In scientific python like this there are usually two main options for reducing the overhead:\n", + "\n", + "#### Using Arrays\n", + "One way is we work with arrays of numbers and operations defined over those arrays such as `sum`, `product` etc. `Numpy` is the canonical example of this in Python but many machine learning libraries are essentually doing a similar thing. We rely on the library to implement the operations efficiently and try to chain those operations together to achieve what we want. This imposes some limitations on the way we can write our code.\n", + "\n", + "#### Using Compilation\n", + "The alternative is that we convert our Python code into a more efficient form that incurs less overhead. This requires a compilation or transpilation step and imposes a different set of constraints on the code.\n", + "\n", + "It's a little tricky to decide which of the two approaches will work best for a given problem. My advice would be to have some familiarity with both but ultimatly to use what makes your development experience the best, since you'll likely spend more time writing the code than you will waiting for it to run!" + ] + }, + { + "cell_type": "markdown", + "id": "6b2ed23c-32f2-40af-bf45-e60004c275a2", + "metadata": {}, + "source": [ + "## Exercise 2: Write a faster version of `energy(state)`\n", + "\n", + "You can use `numpy`, `numba`, `cython`, or anything else, by what factor can you beat the naive approach? Numba is probably the easiest here." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "40386cda-cc14-4fdd-8f9f-71840d1ebb40", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Naive baseline implementation\n", + "78.1 ms ยฑ 997 ยตs per loop (mean ยฑ std. dev. of 7 runs, 10 loops each)\n", + "\n", + "Your version\n", + "75.6 ms ยฑ 2.13 ms per loop (mean ยฑ std. dev. of 7 runs, 10 loops each)\n", + "Your speedup: 1x !\n" + ] + } + ], + "source": [ + "def test_energy_function(energy_function):\n", + " assert np.all(energy_function(state) == energy(state) for state in states)\n", + "\n", + "\n", + "def time_energy_function(energy_function):\n", + " return [energy_function(state) for state in states]\n", + "\n", + "\n", + "def your_faster_energy_function(state):\n", + " return energy(\n", + " state\n", + " ) # <-- replace this with your implementation and compare how fast it runs!\n", + "\n", + "\n", + "print(\"Naive baseline implementation\")\n", + "test_energy_function(\n", + " energy\n", + ") # this should always pass because it's just comparing to itself!\n", + "naive = %timeit -o -n 10 time_energy_function(energy)\n", + "\n", + "print(\"\\nYour version\")\n", + "test_energy_function(your_faster_energy_function)\n", + "yours = %timeit -o -n 10 time_energy_function(your_faster_energy_function)\n", + "print(f\"Your speedup: {naive.best/yours.best :.0f}x !\")" + ] + }, + { + "cell_type": "markdown", + "id": "a27bb821-c33f-4966-8676-4295cfd695ab", + "metadata": {}, + "source": [ + "## Solution 2" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "c96720d4-2c0b-4fa5-b9ce-4fc7be533a62", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Naive baseline implementation\n", + "77.1 ms ยฑ 1.87 ms per loop (mean ยฑ std. dev. of 7 runs, 10 loops each)\n", + "\n", + "Numba version\n", + "205 ยตs ยฑ 16.6 ยตs per loop (mean ยฑ std. dev. of 7 runs, 10 loops each)\n", + "Numba Speedup: 417x !\n", + "\n", + "Numpy version\n", + "167 ยตs ยฑ 30.7 ยตs per loop (mean ยฑ std. dev. of 7 runs, 10 loops each)\n", + "Numpy Speedup: 554x !\n" + ] + } + ], + "source": [ + "def test_energy_function(energy_function):\n", + " return [energy_function(state) for state in states]\n", + "\n", + "\n", + "from numba import jit\n", + "\n", + "\n", + "@jit(nopython=True)\n", + "def numba_energy(state):\n", + " E = 0\n", + " N, M = state.shape\n", + " for i in range(N):\n", + " for j in range(M):\n", + " # handle the north and south neighbours\n", + " for di in [1, -1]:\n", + " if 0 <= (i + di) < N:\n", + " E -= state[i, j] * state[i + di, j]\n", + "\n", + " # handle the east and west neighbours\n", + " for dj in [1, -1]:\n", + " if 0 <= (j + dj) < M:\n", + " E -= state[i, j] * state[i, j + dj]\n", + "\n", + " return E\n", + "\n", + "\n", + "def numpy_energy(state):\n", + " E = -np.sum(state[:-1, :] * state[1:, :]) - np.sum(state[:, :-1] * state[:, 1:])\n", + " return 2 * E\n", + "\n", + "\n", + "print(\"Naive baseline implementation\")\n", + "naive = %timeit -o -n 10 time_energy_function(energy)\n", + "\n", + "print(\"\\nNumba version\")\n", + "test_energy_function(numba_energy)\n", + "numba = %timeit -n 10 -o time_energy_function(numba_energy)\n", + "print(f\"Numba Speedup: {naive.best/numba.best :.0f}x !\")\n", + "\n", + "print(\"\\nNumpy version\")\n", + "test_energy_function(numpy_energy)\n", + "numpy = %timeit -n 10 -o time_energy_function(numpy_energy)\n", + "print(f\"Numpy Speedup: {naive.best/numpy.best :.0f}x !\")" + ] + }, + { + "cell_type": "markdown", + "id": "7d80c912-3773-4c53-a4e9-3f7ee66e2e0f", + "metadata": {}, + "source": [ + "While writing the above faster versions I realised two things, first there was a bug in my code! I had written \n", + "```python\n", + "for dj in [1,-1]:\n", + " if 0 <= (j + dj) < M:\n", + " E -= state[i,j] * state[i+di, j]\n", + "```\n", + "where I of course meant to have:\n", + "```python\n", + "for dj in [1,-1]:\n", + " if 0 <= (j + dj) < M:\n", + " E -= state[i,j] * state[i, j+dj]\n", + "```\n", + "I found this while writing the numpy version because the two functions were not giving the same results, I didn't pick it up from writing the numba code because as you can see I just copied the implementation over. So the first lesson is that simple test cases don't always catch even relatively obvious bugs. \n", + "\n", + "The second thing was that even my naive function was doing more work than it needed to! Because if the symmetry of how two neighbours talks to each other, we can rewrite the code as:" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "755ec34c-4975-467f-a559-f585f9d6a42f", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Improved Naive version\n", + "32.3 ms ยฑ 1.54 ms per loop (mean ยฑ std. dev. of 7 runs, 10 loops each)\n", + "Speedup: 2x !\n" + ] + } + ], + "source": [ + "def energy2(state):\n", + " E = 0\n", + " N, M = state.shape\n", + " for i in range(N):\n", + " for j in range(M):\n", + " # handle the north and south neighbours\n", + " if 0 <= (i + 1) < N:\n", + " E -= state[i, j] * state[i + 1, j]\n", + "\n", + " # handle the east and west neighbours\n", + " if 0 <= (j + 1) < M:\n", + " E -= state[i, j] * state[i, j + 1]\n", + "\n", + " return 2 * E\n", + "\n", + "\n", + "print(\"\\nImproved Naive version\")\n", + "energy2(states[0]) # run the function once to let numba compile it before timing it\n", + "e2 = %timeit -o test_energy_function(energy2)\n", + "print(f\"Speedup: {naive.best/e2.best :.0f}x !\")" + ] + }, + { + "cell_type": "markdown", + "id": "5d1874d4-4585-49ed-bc6f-b11c22231669", + "metadata": {}, + "source": [ + "## Conclusion\n", + "So far we've discussed the problem we want to solve, written a little code, tested it a bit and made some speed improvements.\n", + "\n", + "In the next notebook we will package the code up into a little python package, this is has two big benefits to use: \n", + "1. I won't have to redefine the energy function we just wrote in the next notebook \n", + "1. It will help with testing and documenting our code later" + ] + } + ], + "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 +} diff --git a/learning/02 Packaging it up.ipynb b/code/docs/learning/02 Packaging It Up.ipynb similarity index 93% rename from learning/02 Packaging it up.ipynb rename to code/docs/learning/02 Packaging It Up.ipynb index 2103b96..cd043df 100644 --- a/learning/02 Packaging it up.ipynb +++ b/code/docs/learning/02 Packaging It Up.ipynb @@ -9,29 +9,12 @@ "

๐ŸŽฒ โ›“๏ธ ๐Ÿ‘‰ ๐Ÿงช

" ] }, - { - "cell_type": "code", - "execution_count": 1, - "id": "6e51fe6c-a8b8-48ed-9e7f-70e18945e597", - "metadata": {}, - "outputs": [], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\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))" - ] - }, { "cell_type": "markdown", "id": "5e745b48-9cde-49d1-b91b-b04282f6d30d", "metadata": {}, "source": [ - "# Testing\n", + "# Packaging It Up\n", "\n", "Before we proceed with writing any more code I want to put what we already have in python file and make it into an installable module. This will be useful both for importing code into these notebooks and for testing later." ] diff --git a/learning/03 Writing a Markov Chain Monte Carlo sampler.ipynb b/code/docs/learning/03 Writing a Markov Chain Monte Carlo Sampler.ipynb similarity index 99% rename from learning/03 Writing a Markov Chain Monte Carlo sampler.ipynb rename to code/docs/learning/03 Writing a Markov Chain Monte Carlo Sampler.ipynb index f7bac94..fc26ac9 100644 --- a/learning/03 Writing a Markov Chain Monte Carlo sampler.ipynb +++ b/code/docs/learning/03 Writing a Markov Chain Monte Carlo Sampler.ipynb @@ -40,7 +40,8 @@ "tags": [] }, "source": [ - "# Doing Monte Carlo!\n", + "# Writing a Markov Chain Monte Carlo Routine\n", + "\n", "Right now we have:\n", "1. A function to evaluate the energy of a state\n", "1. That code now lives in a python module called MCFF that we can import\n", @@ -80,7 +81,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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", "text/plain": [ "
" ] diff --git a/learning/04 Testing.ipynb b/code/docs/learning/04 Testing.ipynb similarity index 99% rename from learning/04 Testing.ipynb rename to code/docs/learning/04 Testing.ipynb index af0c432..07046c1 100644 --- a/learning/04 Testing.ipynb +++ b/code/docs/learning/04 Testing.ipynb @@ -8,7 +8,7 @@ "

Markov Chain Monte Carlo for fun and profit

\n", "

๐ŸŽฒ โ›“๏ธ ๐Ÿ‘‰ ๐Ÿงช

\n", "\n", - "# Chapter 3: Testing" + "# Testing" ] }, { diff --git a/learning/05 Adding functionality.ipynb b/code/docs/learning/05 Adding Functionality.ipynb similarity index 99% rename from learning/05 Adding functionality.ipynb rename to code/docs/learning/05 Adding Functionality.ipynb index 04e4e2a..75fe975 100644 --- a/learning/05 Adding functionality.ipynb +++ b/code/docs/learning/05 Adding Functionality.ipynb @@ -38,7 +38,7 @@ "id": "486f066c-f027-44e8-8937-8636a52f32fb", "metadata": {}, "source": [ - "## Functionality\n", + "# Adding Functionality\n", "\n", "The main thing we want to be able to do is to take measurements, the code as I have writting it doesn't really allow that because it only returns the final state in the chain. Let's say we have a measurement called `average_color(state)` that we want to average over the whole chain. We could just stick that inside our definition of `mcmc` but we know that we will likely make other measurements too and we don't want to keep writing new versions of our core functionality!\n", "\n", diff --git a/learning/06 Speeding it up.ipynb b/code/docs/learning/06 Speeding It Up.ipynb similarity index 99% rename from learning/06 Speeding it up.ipynb rename to code/docs/learning/06 Speeding It Up.ipynb index e5bb62d..e6a7efb 100644 --- a/learning/06 Speeding it up.ipynb +++ b/code/docs/learning/06 Speeding It Up.ipynb @@ -30,14 +30,7 @@ "\n", "np.random.seed(\n", " 42\n", - ") # This makes our random numbers reproducable but only when the notebook is run once in order\n", - "\n", - "\n", - "def show_state(state, ax=None):\n", - " if ax is None:\n", - " f, ax = plt.subplots()\n", - " ax.matshow(state, cmap=\"Greys\", vmin=-1, vmax=1)\n", - " ax.set(xticks=[], yticks=[])" + ") # This makes our random numbers reproducable but only when the notebook is run once in order" ] }, { @@ -45,7 +38,7 @@ "id": "3882f3c7-854e-4394-a982-0e71696cfcc9", "metadata": {}, "source": [ - "## Making it faster and the dangers of premature optimisation\n", + "# Speeding It Up\n", "\n", "In order to show you a really big system will still need to make the code a bit faster. Right now we calculate the energy of each state, flip a pixel and then calculate the energy again. It turns out that you can actually directly calculate the energy change instead of doing this subtraction. Let's do this is a sort of test driven decelopment fashion: we want to write a function that when given a state and a pixel to flip, returns how much the energy goes up by (negative if down) upon performing the flip.\n", "\n", @@ -59,7 +52,7 @@ "metadata": {}, "outputs": [], "source": [ - "from MCFF.ising_model import energy\n", + "from MCFF.ising_model import energy, show_state\n", "\n", "\n", "def energy_difference_reference_implementation(state, site):\n", @@ -315,7 +308,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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", 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" ] diff --git a/code/docs/learning/07 Producing Research Outputs.ipynb b/code/docs/learning/07 Producing Research Outputs.ipynb new file mode 100644 index 0000000..f0fa210 --- /dev/null +++ b/code/docs/learning/07 Producing Research Outputs.ipynb @@ -0,0 +1,283 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "5ac56056-ca33-4f13-8e36-564b94144c1e", + "metadata": { + "tags": [] + }, + "source": [ + "

Markov Chain Monte Carlo for fun and profit

\n", + "

๐ŸŽฒ โ›“๏ธ ๐Ÿ‘‰ ๐Ÿงช

" + ] + }, + { + "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": [ + "# Producing Research Outputs\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": [ + "
" + ] + }, + "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=\"row\",\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": [ + "" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "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 +} diff --git a/learning/08 Doing reproducible science.ipynb b/code/docs/learning/08 Doing Reproducible Science.ipynb similarity index 63% rename from learning/08 Doing reproducible science.ipynb rename to code/docs/learning/08 Doing Reproducible Science.ipynb index 81bb767..3b77c47 100644 --- a/learning/08 Doing reproducible science.ipynb +++ b/code/docs/learning/08 Doing Reproducible Science.ipynb @@ -1,12 +1,21 @@ { "cells": [ { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", + "id": "96ca09e7", + "metadata": {}, + "source": [ + "

Markov Chain Monte Carlo for fun and profit

\n", + "

๐ŸŽฒ โ›“๏ธ ๐Ÿ‘‰ ๐Ÿงช

" + ] + }, + { + "cell_type": "markdown", "id": "94c1cebd-8bb4-4f19-bdb3-c503cd620d22", "metadata": {}, - "outputs": [], - "source": [] + "source": [ + "# Doing Reproducible Science" + ] } ], "metadata": { diff --git a/learning/09 API documentation.ipynb b/code/docs/learning/09 Adding Documentation.ipynb similarity index 84% rename from learning/09 API documentation.ipynb rename to code/docs/learning/09 Adding Documentation.ipynb index d3fec75..97d950b 100644 --- a/learning/09 API documentation.ipynb +++ b/code/docs/learning/09 Adding Documentation.ipynb @@ -106,6 +106,30 @@ "]\n", "```" ] + }, + { + "cell_type": "markdown", + "id": "c771a57d-c802-429a-b051-1bd0364b9317", + "metadata": {}, + "source": [ + "Finally we add a `readthedocs.yaml` file to tell readthedocs how to build our documentation. https://docs.readthedocs.io/en/stable/config-file/v2.html#packages" + ] + }, + { + "cell_type": "markdown", + "id": "3843afa1-5c83-4328-bf8c-5e189dc4ee35", + "metadata": {}, + "source": [ + "And the documentation is now hosted [online!](https://recode-mcmcff.readthedocs.io/en/latest/#)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "b5ca1a87-26e8-4006-99ac-38e51948f3b2", + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { diff --git a/code/docs/learning/assets/energy_diagram.png b/code/docs/learning/assets/energy_diagram.png new file mode 100644 index 0000000..0825283 Binary files /dev/null and b/code/docs/learning/assets/energy_diagram.png differ diff --git a/learning/assets/matplotlibrc.json b/code/docs/learning/assets/matplotlibrc.json similarity index 100% rename from learning/assets/matplotlibrc.json rename to code/docs/learning/assets/matplotlibrc.json diff --git a/learning/data/test_state.png b/code/docs/learning/data/test_state.png similarity index 100% rename from learning/data/test_state.png rename to code/docs/learning/data/test_state.png diff --git a/learning/01 Introduction.ipynb b/learning/01 Introduction.ipynb deleted file mode 100644 index ab75622..0000000 --- a/learning/01 Introduction.ipynb +++ /dev/null @@ -1,627 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "0aadee51-c8d7-4b72-b281-bf2daca49811", - "metadata": { - "tags": [] - }, - "source": [ - "

Markov Chain Monte Carlo for fun and profit

\n", - "

๐ŸŽฒ โ›“๏ธ ๐Ÿ‘‰ ๐Ÿงช

\n", - "\n", - "Hello and welcome to the documentation for MCMCFF! These notebooks will guide you through the process of writing a medium sized scientific software project, discussing the decision and tradeoffs made along the way.\n", - "\n", - "## Setting up your environment\n", - "\n", - "It's strongly encouraged that you follow along this notebook in an enviroment where you can run the cells yourself and change them. You can either clone this git repository and run the cells in a python environment on your local machine, or if you for some reason can't do that (because you're an a phone or tablet for instance) you can instead open this notebook in [binder](link)\n", - "\n", - "I would also suggest you setup a python environment just for this. You can use your preferred method to do this, but I will recomend `conda` because it's both what I currently use and what is recommeded by Imperial: LINK \n", - "\n", - "```bash\n", - "#make a new conda environment named recode, with python 3.9 and the packages in requirements.txt\n", - "conda env create --name recode python=3.9 --file requirements.txt\n", - "\n", - "#activate the environment\n", - "conda activate recode\n", - "```\n", - "\n", - "## The Problem\n", - "\n", - "So without further ado lets talk about the problem we'll be working on, you don't necessaryily need to understand the full details of this to learn the important lessons but I will give a quick summary here. We want to simulate a physical model called the **Ising model**, which is famous in physics because it's about the simplest thing you can come up with that displays a phase transition, a special kind of shift between two different behaviours." - ] - }, - { - "cell_type": "markdown", - "id": "e2e5299a-5e20-417f-a62e-ce47d018d542", - "metadata": {}, - "source": [ - "I'm going to weave exposition and code here so don't mind if I just take a moment to impor some packages and do some housekeeping:" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "ee600e16-506b-4676-8d84-16b415338191", - "metadata": {}, - "outputs": [], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\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": "e52245f1-8ecc-45f1-8d52-337916b0ce7c", - "metadata": {}, - "source": [ - "We're going to be working with arrays of numbers so it will make sense to work with `Numpy` and we'll also want to plot things, the standard choice for this is `matplotlib`, though there are other options, `pandas` and `plotly` being notable ones.\n", - "\n", - "Let me quickly plot something to aid the imagination:" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "7b05be8f-9edb-4742-bbfc-e892cc09b82b", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "state = np.random.choice([-1, 1], size=(100, 100))\n", - "\n", - "\n", - "def show_state(state, ax=None):\n", - " if ax is None:\n", - " f, ax = plt.subplots()\n", - " ax.matshow(state, cmap=\"Greys\", vmin=-1, vmax=1)\n", - " ax.set(xticks=[], yticks=[])\n", - "\n", - "\n", - "show_state(state)" - ] - }, - { - "cell_type": "markdown", - "id": "9a919be9-2737-4d79-9607-4daf3b457364", - "metadata": {}, - "source": [ - "In my head, the Ising model is basically all about peer pressure. You're a tiny creature and you live in a little world where you can only be one of two things, up/down, left/right, in/out doesn't matter. \n", - "\n", - "But what *does matter* is that you're doing the same thing as you're neighbours. We're going to visualise this with images like the above, representing the two different camps, though at the moment what I've plotted is random, there's no peer pressure going on yet.\n", - "\n", - "The way that a physicist would quantify this peer pressure is to assign a number to each state, lower numbers meaning more of the little creatures are doing the same thing as their neighbours. We'll call this the Energy, because physicists always call things Energy, that's just what we do.\n", - "\n", - "To calculate the energy what we're gonna do is look at all the pixels/creatures, and for each one, we look at the four neighbours to the N/E/S/W, everytime we find a neighbour that agrees, we'll subtract 1 from our total and every time we find neighbours that disagree we'll add 1 to our total. Creatures at the edges will simply have fewer neighbours to worry about. \n", - "\n", - "I'll show you what the equation for this looks like, but don't worry to much about it, the word description should be enough to write some code. If we assign the ith creature the label $s_i = \\pm1$ then the energy is \n", - "$$E = \\sum_{(i,j)} s_i s_j$$\n", - "\n", - "Ok let's do some little tests, let's make the all up, all down and random state and see if we can compute their energies." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "340a78e7-6c1d-4742-8dca-6d3bea492856", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "all_up = np.ones([100, 100])\n", - "all_down = -np.ones([100, 100])\n", - "random = np.random.choice([-1, 1], size=(100, 100))\n", - "\n", - "from matplotlib.image import imread\n", - "\n", - "custom = (\n", - " 1 - 2 * imread(\"data/test_state.png\")[:, :, 0]\n", - ") # load a 100x100 png, take the red channel, remap 0,1 to -1,1\n", - "\n", - "states = [all_up, all_down, random, custom]\n", - "\n", - "f, axes = plt.subplots(ncols=4, figsize=(20, 5))\n", - "for ax, state in zip(axes, states):\n", - " show_state(state, ax=ax)" - ] - }, - { - "attachments": { - "c7c0ca75-61b0-4c5a-b733-3e12532c8b00.png": { - "image/png": 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" - } - }, - "cell_type": "markdown", - "id": "2ed02839-81c0-45ff-87c9-a429ea8ccf51", - "metadata": {}, - "source": [ - "If you stare at the first two long enough you'll realise we can figure out the energy of all_up and all_down without writing any code at all:\n", - "\n", - "
\n", - "\n", - "
\n", - "\n", - "So we know that for the first two:\n", - "$$E = \\frac{1}{L^2} (4(L-2)^2 + 12(L-2) + 8)$$\n", - "\n", - "And for the random case we can make a pretty good guess that it should be zero on average. And the last we will just use to as a testcase." - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "c2e63baa-8d97-41f3-9070-013aa6bf83bd", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "For L = 100, We predict E = -39600\n" - ] - } - ], - "source": [ - "def E_prediction_all_the_same(L):\n", - " return -(4 * (L - 2) ** 2 + 12 * (L - 2) + 8)\n", - "\n", - "\n", - "L = 100\n", - "print(f\"For L = {L}, We predict E = {E_prediction_all_the_same(L)}\")" - ] - }, - { - "cell_type": "markdown", - "id": "8351475b-73cb-4cd9-9fe8-3b60af0b5a6a", - "metadata": {}, - "source": [ - "## Exercise 1: Write a function to compute the energy of a state\n", - "\n", - "See if you can write a function that calculates the energy and reproduces all the above cases. " - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "36ac021b-1da4-48d1-9cad-6ae3ba1e7e61", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# you are welcome to solve this in any way you like, I've just filled out a very simple way to do it\n", - "def energy(state):\n", - " E = 0\n", - " N, M = state.shape\n", - " for i in range(N):\n", - " for k in range(M):\n", - " # your code goes here\n", - " pass\n", - " return E / (N * M)\n", - "\n", - "\n", - "expected_values = [\n", - " E_prediction_all_the_same(100),\n", - " E_prediction_all_the_same(100),\n", - " 0,\n", - " \"???\",\n", - "]\n", - "\n", - "f, axes = plt.subplots(ncols=2, nrows=2, figsize=(10, 10))\n", - "axes = axes.flatten()\n", - "for ax, state, exp_value in zip(axes, states, expected_values):\n", - " show_state(state, ax=ax)\n", - " ax.text(\n", - " 0,\n", - " -0.1,\n", - " f\"Expected Value: {exp_value}, Your value: {energy(state)}\",\n", - " transform=ax.transAxes,\n", - " )" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "0ad5b92f-521f-48c2-9f5b-7950f5a3f931", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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UTd/uvzhbvjI/TytflHRjMzsl1p1aB424f3H/EvevIe9fPR8hf5qkj0j6QUm/a2arbxEnSVqNc/6gpHeFabzwr+I3J9lk9e3pXEk/HpefbGanS/qqpm85K2+R9OQY8crMvtnMbqlp3PcRZnY9M7uhpO/JtPflkp6g6dvG6+Oy03X1CfihDdt9StMHUWZ2b01dfqt2Pzq2Y/UUwB02VR5CuCKEcK/486z4zew2cdtTNF2wH42/r8o8SVNE/uLZcbiHmX1T3OaBkj4cQvispH8ws/vGMdEnzvbxDZoiesV/Xx/LPmpmv7epvWveratzAh6vKbFvdWzuE19/r/zfJF+r6Yb4A5o+kNJ0Lr4cbxB31ZSEuO7zkm5pZjczs1Ml/RvpqvHoTddXUgjhmavzEbe58+zt79b0LU3xWF8/vv4OSd8IIXw4TH2xb9TUtS1N34xX4/fzY/5oTV3PIS5/nE1PL9xR0ze942vtCpLeoas/Q1edM3TF/Yv716fE/evMuM0496/S8S1de0z7eZoS5D4i6YZxnV+X9Jz4+rL4+yWaEp5uEZffUdKbNWVnf1jSs+LyW2k6CB+M5d8vLv/DWMbz4+8/Fdf5oKax9DvF5c/UFJm+K25zrTHt2b58QFPi1Or3+8VtL5T0K5I+Fa4ek12NCV9P0lslfUhT199HJJ0R3/v+WObFmr7l3DcuXxzTjvt9Qdz2Ekn/VVePr/9UbNfH4/G22XZPiG25RNKvzZYficv+QtPYqcXlN9N0Q/uEpLfp6nHjR0t6SaZ9L1Ucb5V0h3guL45lfctsH94bz+mv6ppj2tmnOzR1Jf/l7PdTNY1vf0TS6zR9Kz0zzMa04+ufjPt4fmzjakx70/XlGtOW9BvxuH5A04f0W+PyMyR9LLbrbbrmUy53iO1YPy6nafpm9ElNN4F/NtvmmbH9H1N8giQu/x+Sbhtf/7O43SdjOaeWfm754f4VX3P/4v51Qt2/VhfO1pjZZSGEG2y1EjSz6QmB3w8hXLzfbQEOCu5fhwP3L2xCkAMAG3D/Ag63rQc5AAAA+4H/uwoAAAyJIAcAAAyJIAcAAAyJIAcAAAyJIAcAAAyJIAcAAAyJIAcAAAyJIAcAAAyJIAcAAAyJIAcAAAyJIAcAAAyJIAcAAAyJIAcAAAyJIAcAAAyJIAcAAAyJIAcAAAyJIAcAAAyJIAcAAAyJIAcAAAyJIAcAAAyJIAcAAAyJIAcAAAzplJKVzz///HDaaadpb2/vqmVHjhyRpGssW3/P837Oalvv+kvbtpTXoy5v/aljlpIrx3uuvOXnzmPNOS49Fr3a4ikv1aaa6zyl5drzHotUXZu2vfWtb61HPepRVt2oQ2B1/wIwlssvv1wPeMADkvcvCyG4C3rRi14UzjrrLM23MfPdF1fbpNbvVV6ujpq25PTY79z6S9uk2tmy3971cvWm2r7NdpZuW3OdpbZd13IN1pTnPabeOiTp7LPP1lOe8pShg5zjx4+Ho0eP7nczAHR2/PhxHT16NHn/YrgKAAAMiSAHAAAMqSgn58iRIxu7wJeGAnLd997u/qXhEO8QSc0wyLbbmStnqb2lw1pL6623b+nYpeooHVJJ1VFzfFqGID3r15yLHu1c2gfvcUyVV/t5wO4sDVcCSKMnBwAADKmoJ2dvb0/Hjh1b/JZemmzq/abpTcj0fuvp8Y2o5ht2bn9Lk31L2pXrIWlJxC3tVUu1yVtfTW+Ity2lbWvp8WlJrk7VsSrPe7zpDTgcvL3inE8gjZ4cAAAwJIIcAAAwpKLhqpXec90slZ1b3zvUVTPEliujJXHUW563rtIhjx5DfEvd6KXzGHmHJ2uG7rzW29cyZ1Kv4YNc2S3tI9l40pLw37Jey/XRY6gTOFHQkwMAAIZU1ZPjVdNT0ZJQ7P1WVjrbbErpI7u929TyWHmuTfNtUz0GLY/E5+rq1RvS49tt6TXonT6hV09kj2kJ1h0/fjy5fCSrByeWeK+hlvVaEsDpwQH86MkBAABDIsgBAABDah6u6jHMUjOXSu8hAI+ahNmUHsNl2yzPU5d33p9UW+bv9Uhk9rav9FjUzORcmgxcM6uzt12p907kOVZWM7a3DI/vYtlcaQI/gGuiJwcAAAyp2/9dtc1em96PdPbQMkNxS6Jubtmm+nqst75+y3lMKU0kL2lf7SPU3h6QXo9ye5PZW6ZoOFF6bVJSicfea2O/lqXQgwP40ZMDAACGRJADAACGVBTk7O3tycyu8bMSQrjqJ2d9e0956+/N38+VMV+vxqo8bxmpNqX2J1Veallqf5aOX2qbTfu1aT3vsc21M7XfPbYt3deStqyvV3M8e1yDqWtlXnbu+vEes/Wfvb09d/sOq9xw+1zqWPb48dbbaz0A9OQAAIBBVSUee5PmvN82PN+sPfW1lJFKIl29700Kzq1X8wjoth4LTm1b+s1w6dFX73rebXNqjkXp/nqTgnPtyJW7SS7xuMd5PJF4Zzzelh7J8CXrAaAnBwAADIogBwAADKlouGrV3dvSTb40HFQ6X0pNF693fpP1OmqGAkq7pb3Dai3blg6ltHSP18x/02NuGO9QYMuwZ+kwpndoalM5ufVbPjchhBPiP+j0zni8C5vOQ+0yAGn05AAAgCF1m/E4ZembaS6Zc9M2OS3fcDz1er9hlZa7pKZHw9t74H1kdVP5rdvkkoK3dR69ZXu3a0kgr2mvNwm6R8L+SEpnPN51Erf32jpIbQYOOnpyAADAkAhyAADAkLrNeDy3PjPrpplbU3LbLK3fMntuaXmpfUzNJLt0DHJ1eNvZwjMbrredqXLnUu1tqSNn6TzmZqStPU+b9tHbzpbz2bKtGTMez/X4XHnVnP9dtg99bet+h83oyQEAAEPqlnjsfcSx92O0S+uVPuabej/3SLM3IbSm/tL1Sh+zXpLb721+kyytt/cjty2PcnuVPlbecg54/LjMQUo8blkPB4f3vk0PXX/05AAAgCER5AAAgCEVDVeleIdZvHLDES1DFSneOShKu/hLh8FKtAzdpdrUMrSYKze3LFXH0ra7mDsnt13L8FLKtq/VTctyw18nIu/w5raGEWqGWve7zSe6muPeYxj9MNqvlIc5enIAAMCQmntyejvIUW3Nt/jeydAtcr0BLb0Iq229PQY1CcXbui5KeyJ7f2OrOd89vrWvb3si/N9VKTW9j9vibctBavOJpPRc9Or13ZbeozClD8XsqteRnhwAADAkghwAADCkqhmPl+RmckzN9JibdXa9O3/9Z2lm25ylenMzi3rryrU51ZbU8VlaliovVW8PpbOtevc7tc3SOShty9K1krvevGWUXpdL5yd1PZaez6U6zE6MGY9Xel9XXkufSU+bltqOvryfT6/9Oo+5a2/pb6233Fx5Kbs6BvTkAACAITXPeJxLzlxKTk3xJml6tSS7lta79Phu7r2WBNzcPnrbkkuUrTnupYnMLeeiZb+9WnrCvI+K5o6BN4mxtE01246u5XjsYtvaOnpcwwdNz897zfE5yJ+dbV5PpUnG+4meHAAAMCSCHAAAMKSqeXKWughz3fM1QxCpbUuHhrxDBblhG+/6S/W2zKWS4q0jN/RROpRVc35K981bRmqbpf0uPT4t5zF1zEq7e2uulW0N3Y2k9LPoPde9l/Vo89LwuHfYu0XLEHiOd+i/tLxe52yXepzvmhSNHuVtAz05AABgSEU9OXt7ezp27FjVN+yUlp6X1HqlvQKpcnJRaE0CsDeC7dHj09JblVu/hvdY9E5CTr1Xmghf2vZe34RaeJObN217os54nOL9bG1rWU3PrWdZ7/a23Nt2UV5LL0JpefvdeyP1Pd+1dbaWtw305AAAgCER5AAAgCE1z5OzchDm8SjtnixNKvMOo3iHl0ral1u2H/Or1CTaeYfkPOvP3+8xrOZdz5twXbMspXTfDkK3+WFSek32Xq9lDqoe7fPeZ1vuxwe1vJzS5PODaL8SgJdSBVLrbRM9OQAAYEhVj5Cn9I7UevWGpMpbL7dFr8cyS/expbfKG+H3eMzUe9y9dbT0kJSeq5oEbe+3zdwy77fHml4lb7tOZD16FlJ2fZx79NLmymrp0eidnOq9B7X0OufW65Xc3PM4bjMBuOUBmNR62/xs0JMDAACGRJADAACG1DxPTulwzFzLeqXdkz0S7GoS/bzLegzF1czfUNtNuNTV2NKN2zI01CO5uTTJeIl32C9Vbunw4FK9uKaWz+xBOq6lD06U3gN7zQXVcj3Xtq8lBaD3ddE7DWPO86BMby3pGrtKjKYnBwAADKnqEfKaRMbeCZneaNn7rTyntK7U+zW9LLlyl7R8w8i95+2F6vHY7Da/9aSs19G7t2qbifOlZa+vf/bZZ+vo0aN1jRtMSzLlfvG0uff1t/T5aElkbmlLaXlePXqCe23rKW/XvY49zvc22kxPDgAAGBJBDgAAGFK3/6Bzztvl1mOeE6+WIbaWRKnU0EeuztS2NUN3LfNG1CYseuv3rl+TNO3tAva0ryWRe5tJ6i3LNrXlRP8POluGsw+qnkO83oT/3on0vdcr5X2gptfQS89hpf1KjK95yKj30N0cPTkAAGBIRUFO7v+u6i2EcK0fM7vqJ/X+6idVzlId87I31bEkVUapmm1T65fud6q83HFfKrf0mC2d71Qd62UstW/p+skd99y59bZzaZnnXCztm3d/1rfd29tbXO9EUfvZPWh67Efus7iL8pbW895n1surkaqr97VS8pktOXben9r2tvzd2vZnjZ4cAAAwpKr/u2ppfM37OGHLOFzp+GxNLoW3jlwZ3m8ZuXZ68zuW3kvV4RlTrslNWbpGvOV4yqsZN/dcF6nz6L0+ltSei/VtcstS76XqHaHXoqeW/KZdWrpXrLe55Zz3voa85dXcy9frWDqPLaMTLddKS1s89W7zGHuvgR5taUVPDgAAGBJBDgAAGFLVcFVNF5V329x73u5Z7zalwxw1QzSlXay9LQ19rOyyfUvnrOWYeYf7endbr9dVMzzaMnTneW/TeiHwCPmc9zOz35/tOU+bewyvliwrHXqpWZZT0+ZSLeX1vqY853u/9n+b188SenIAAMCQqoKc+aNfqUcCU8tSP6lH8ryPAO/icbVcO1Na2t7yqGZq/fW2e3qh1svJlVtzLnLlzeWuH295S9fZel3rvXqtSW9LxyV1flLLvG3PHcelZWY8Qj7X4/N+EPRsn/c+kroma+5pPdpa+l7v9bzHrKZeTx0152yX+51ar+aYLaEnBwAADIkgBwAADKnq/65qUfMcfI+EzFS9S/WnuvXX3/OW0SvZNrett33e5NzUe976U3oci16Jut5rpbZN3mWpelPrLV2/pcdifX0Sj8u1JIn2lrp2djU8NLdU534fs5akYO96uX2r+fvn5al3m3XW/l3dtKwXenIAAMCQmh8hTy1riW5TvOV5eyi8vRypRM7SOnv0SqTaVBMNe3sKcuX16Bny7o+3vJ49GiVyPUS9j2fJ+7myU+8dhJ6Ig87bG3eQrLe5Vy+Ct6ezd72lSntVe/XIlrZvl7ZZ50H9PNCTAwAAhkSQAwAAhlQU5Bw5cqT6Gf7SuVRSz+6nnqHPze8yLye13tIz+bn3vPO25NpZc3xy7fTOzbIkNb9Fz3JTbV/an9R6uXOw1HbPXAxL9XuuD08S3vrP0jXt2ddN19mm+pgnJ6/0875fcveUpeu5B+/9eBdKz1nq74F3GQ4uenIAAMCQqhKPvZYStHIJwEsJX0v1baqrhjcJzbtt6Xo1Cau595eOd6nSfUzx7nevxEZP4nFNuS2Jz6VJyy0OWg/EYXTQk5F32ZaDtN85qXPmuRfg8KInBwAADIkgBwAADKl5uMo7RFTaPd4yLFEz54p37oeS7TaVUTr04R2a8u5Xqq0tQ0mlQ0QpNV3FpXPReIcbS4dWW67LlqHDpfJKhhGZ8bgcQ36HD+fsxENPDgAAGFLz/11VmhRbk5zqTfAr7dFo+WbtTRLt8a3cm1C8xJtg530c3FN/716oluPZcq5aeiJTZfRIUG5pC5b1OofYH94HRjiPY6MnBwAADIkgBwAADKl5xuPUTKve2SB7zBqZqndpRsrSer3l5mbT9M6A6922ZQbcpfU8x6flWCyV5zl3S+97j7f3+KTq9Oz/puvT26ZdzKxqxozHXsx221/uXtWj3KVlGBs9OQAAYEjNj5DnZpBMrddj5uFNdXjbV/r4cGmdS/Xnyp7X35KMnCqjx6PepWXVJHe3nIMej+x7lSaf17Qjd120JDIDB5n3IYlS3vsxxkFPDgAAGBJBDgAAGFLVPDlL3enb4p1zpWW25G1pGbZZGpbYVpduqk2leszrs2mb0rmXSvej5rj3mC255hpYupZymPEYu7bNe3DP+a5w+NGTAwAAhtT8CHnqkd0ejwQubZuq1/tIb+5x4Nwjxd7HnDfVW/pIcWq9peO8jUckax7vLn28OtX21H5727rUvpzSR0+XjnvufHuvX++xSNWxdF54hBy7tnSd9qxjaRnGRk8OAAAYEkEOAAAY0lYSj1vmY8kt8yZ61swfUirXJu+cPHOlScbe+WKW5OY58h670n1camfp/DM1ifC77LL2ztXk/Tx4j6OnTSskHmOXSu/9Uvn8WaX3FoyJnhwAADCkop6cTYnH61p6AFoi7N69ArnyS3uVvD0+Sz1iufb1erS/dJtcO709REuPUqfqqnkUvUSPHpNWpd9egcPA2/PveUigZ3kYDz05AABgSAQ5AABgSEVBzt7eXtcu8tx8JLn5apbmnampt3a9pTlSNs1LUjIPi3dOidSx6DGHjneOH+88Oqll3uO4NGdQTs0cMuvHoHSunZr9SpWzJHVMvMeWeXJwUC3d81PrAXP05AAAgCEVJR6veB+R3nVymTfJt7QNPRJxveUtHduax+g9deS2XUoK7l3/0jaeenuf79Kk8tLH5Wva6S2bZEscBjXTQ3iX4cRFTw4AABgSQQ4AABhS1XDVNmeTTXU1emeMra2rhbebtGaoorR9LcNA3qHFpXpL68rpPZS1tO225qTxDtV6j0/pcfQMiTHjMfZL7l7esgyQ6MkBAACDag5yUo/W5h718z6ym+J9BNj7yPOmsjett/Q4Y+6R3ZrHl1uOVcrSY8Qlj2Hn3itpZ+r85B6l9l5TpY+XL9WVa5/3MdeW9vV6RHbTseURcuy31GfMe0/pfa/EOOjJAQAAQyLIAQAAQ9rKf9DpVZpomaq3Jum0dM6THsm5Kd7EY++8ECVl1/LWv4vk85yac1V6DbTU1ZLk7N12tZ7nXJF4jIOOISjUoCcHAAAMqagnZ29vT8eOHXN/c+0xW2tJObmyW3oedvk4dmpb76PzNT0+ucfzc9t5eY+193y3PF69VMf6sUj1JOXWX9Kyj72nG+BbMYATAT05AABgSAQ5AABgSFWJx0vd7qlhltz63mGWXXSxb2t4aRdahk287WxJAPaWVzoE2mu40zvUlSu3tH3e4cSlz0NLm4ESPVIUgF2hJwcAAAypKMjZ29vbOHtwanbYFO96S1Kzv+ZmDfYqnWGztL2tM9vm9nvpvKTW99S1dExSs/im6k/V5ZlReKmO1Dbbmil1ab3cbMlLUut5r/OWNgPAqOjJAQAAQyLIAQAAQ9pK4nGONxHVW4436XRpmSeZs2Ym2pZE6tJj691v77beJGPvbMCeMjZt2yP5vPS6SF0LpXPtpN7b1KbSti/xXvsMY2HJNq/Tben1cAQON3pyAADAkKpmPJ4r/RbfK7r2Ppbr3dbTy+F91D1V7jYfc25pX6nSR8h79SK09Ex560olRa9v27u3KlXO0jHLta+l1w3YpOZ+s1/W21LzOcE46MkBAABDas7JWdnm+Gdp7kOvKL20l6r3t4TScnp/2/dqyUXyTsCX60lJtWWpx6fHhGbeyftS5bYc4/3uzcOJraU3s7fc9ez923CQeqHQHz05AABgSAQ5AABgSN1mPJ5LzSLrnc01xTtTbq7+pfatlzsvOzWLba5NXi3HsWXm31y5nuTcTcd903FZr7fG0rH3tG9Jyf4vHffUeqlrK9eOTddebtua9cxMe3t72f0GDgrvZzAl9/cAY6InBwAADKko8XjFm9TpTSZdqiOld/Jbz0fha5JjSy0lk+bq6JUAW/LeXMsj5Kly1nupNtXR49rzXgu9rs/S47Pec+RZL4Sg48ePF7cNWKmZsqFHHZ73Uui5OXHQkwMAAIZEkAMAAIZUFOSs5snxJuzOeRN1U4mjngRgz/BWaYKZp66WZNKWdnr327ttab295I6x95h5t/UmCJck7HqORek2S+t7l+U+h+vHh8Rj9OD9zPaqw7uM5OITFz05AABgSFtJPPbyJonm6lpKtPTWm1svVX5Nku1S+T2VJn/n9q0mYbfHvtVcFy3fHNePWY9E9nk5qWvVm6S+VIdn/U1tIfEYNVLXX++eG28dve89GAc9OQAAYEgEOQAAYEhFw1V7e3s6duxYcnigZk4c79w0q/VKh6M2tSW3Xm6bmn3sMSfONnnPX2v5m+rIqRmG6jE/TeqYlMw5U9K2mmHZ1Hq5zwjd99iVXkPHpeV5/ybhxENPDgAAGNLOEo9T0XVp70FNT0rqvdpv6t6eKa8evUublPac5fat5tuZ9xinlCakt7SltNfEm+he8y3S2zNUep0Du7JfScG5eunRObHRkwMAAIZEkAMAAIZUFeR4Z5BcmnEyN0tr6ey0S+ulZsP1lpdr09I+tmzr3e/c/niXlZ7TpX1MtclT/qZyvbwz/+bKzR3PpXamZivOlbF0XeS29Z5bT5uZ8Rillq7d3LLW+krq9X4mMCZ6cgAAwJCqEo9TapJySxNMvcnDvZJde7QpZ2m/vUmnLbPneh/jL3mvtU3e9XOPTfd+lLolibHlOu9Rx9ym+pjxGD3sOvE49zkiGRkSPTkAAGBQBDkAAGBIVUFOKqmyJbmsJtHSm1TmbVNqP9brSO3jUv25BNSl/U7Vmzv2qW2XlnmTlmsTXGv2p7TtSz+5tuT2zXucUusttd1zvW06t6n9zy3zXHskHqMH7+euRu5e4f37QzLyiYeeHAAAMKSixOMjR464e0Wk8sRZz/ueOlqSOb3beustrX8psdabaJdbr6V9ufJ6JVJ7y0uV0Xt/c+W2XGc9ktlrjgUJl9im3j0j3vJ6r4dx0JMDAACGRJADAACG1PwfdLYoHfpIvb/UltJhm9y2NcMiOb2HY0qHg+bl1Qyn1ZbRMqyWaov3Gki1IXfMerczVb93W+/Q09LnZlMdzJODFt7PWOnnZ2no1rOs1+cYhxM9OQAAYEjNQU7pY+PeR6mXHjP2tiX3qK73EdxUud5HlXOW9jtXb2ofl35ybcitl2rnUpu8+730vuf8eHkfzc5tm2pnar2lY9ZS7/p7S5+lpWuBR8ixTS2fu6XyPMtS27bcR3C40JMDAACGRJADAACGVJR4vLe3p2PHji0muOaSJLc5l0suCa1H4mZNGblyW5al2tBj3pZ5OS1dud6kw110F3vnmqlNSvReb96k8prk4aV25dpC4jG2ofdnu+bBhm20A4cLPTkAAGBIW32EvOUxvaVtU9/OSx/D9j6mnuLtZdnWY5RL7Sz5Fu9Zb319b+/S0rZePR51Xyov9w3Q2xvUovYarGkL324xKq5tzNGTAwAAhkSQAwAAhlT1H3TWJGv2HsrJDZu0JNsu1ZGTG0LbVG+u/pylMnY5hFWaZOwdfuvd7exNCPe8N3+/Jrnau981ie25+nsnNwPAQUZPDgAAGFLVI+RLUj0gpYmbu3j0ealHytO74n18OLWNt0es5lt3aRJ2aW9a6eP3m+rqXV5pL0euvJpry3vttySur7+Xqr9mPQAYDT05AABgSAQ5AABgSEVBzirxeC73H56llqX+s7al9XJS5c2Xpcrw/sdsqfaVtjNVl2e/NrUjtW3LslK5Y5dqZ+r8pLZJHcel/V7fr/Uholx53msgx9v23DVQs4+5tnuv/fV1+A86AYyInhwAADCkqhmPWx75TqlJoOyROFmaoNwyA25Le3fxuK/3UWrvo/YtxzbXJu+yTeXk5Pa7tKyaduba5E2Ir0nYl8T/XQVgSPTkAACAIRHkAACAIRUFOXt7e64k3lTyYy4hMpWkubReSkuScS4RNNWmHgnF3uTqmkTZXNK0dz9yxzN3nHqdH28yuzfBfel41yaEp8qoSRZvaVNuH5eWkXi8f2rOV24ZkHIiXyf05AAAgCFV/d9VXkvrlkaWS4mbpUm5LeWlEmZ7JFfXHDNvcmouKTeXVN2SbLu0Xsq2juPSsU093u5Rk4jvqb+kDaXrk3i8v7xJ7aXLtvVgAg6P3D1oFw+xHDT05AAAgCER5AAAgCE1Jx6vLCV6ehOPc7zr5epqKS+1bWmSdYkeib81ibq5+mv3YVOSc48Ebu+2S9debeK4V00C+Xpdm66p0kRmklYPHu+1UXsN4cTScr8ZCT05AABgSFWJx0vJSz2SL1uSaJfK8ybg5srw8tafk9p2KSExV29pgnAuKXmu93pLWhKUW3qK1surORdLZa9banvpNXqif7vbDy3nv2Y9nNi819vo9wJ6cgAAwJAIcgAAwJCKhqv29vZ07Nixqm7/3BBRqmu/ZRhsaTjEO49Artzc+96hkl7DOz2WeZUOES0di5bzXHquSufn8V6XNfWWDqN6h79G73oeRelwcsuwM05Mve/9hxU9OQAAYEhFPTkrNd8qvd9mvRFnrufD+4295dtxj+Rqb5u82y6Vt1La0+Ttjak5Jj17kpbqKD2Ppb0yS3UtldM78bS0xxC7472nea8TzitWSu/9o6MnBwAADKkoyEn931W7nLhtrnQSOe9EcLnJ9pbK6L2P3mObap9329Q+5urPrb90LDzvLb2f29ela8XbZu/5TpWbq2vT/ub2u3TbknM/34b/hXz/lV47S8twYqu5t4yInhwAADAkghwAADCkqsTjmkTGluTUlu620npL21eTKNySEJpar0cdpW1ZWt/7qLm3Dm+9Pc5z78faWxKeWxJKvdcjDoaWhHL0tYsHIg4K7/34sKInBwAADGkrj5B7e0+823q/see2TbW/d9S6i16t9bo21Vf6mHquvJpzm9o2VX7LI9c9jqO3PO/j9C1t8ZyLuZr1NtV7/PhxbzPRQelncfRv2wdBy7k4LOfH2xN+kPehFD05AABgSAQ5AABgSEVBzt7enmvej9z8KjXbrqTmI0m97613Uxs2/XjX9yqdo2VTvaXz6bToUcZc7th653zxHvvUeqXHsea68M6X4732vfu9/lnJrcc8ObuVOte5ZTX3l8PCO9/Vtuvf5rKDInWM9+u47wo9OQAAYEhFicerGY9zybxS+aPHqfeXyitNkErV633c1/Pepja1JHd597vH8emhJhl6F49q5pKGc0mENddqS/2eMmraMuo3tNEctiTWbdrvBNjen+39Po+lD04cpLa3oicHAAAMiSAHAAAMqWi4am9vT8eOHUu+VzNXSMuwVop3+Kl0ThFv12Vp21K8Q1i95slJaRkKLHlvqU0110Cu3tLhMu+QaW8t3cPeoVLs3tJ5OCznpnSY31vGQeLdx9K/TQdx6Oegn4tW9OQAAIAhVc14PNeSCNujd8ObIFUzS2Xq8eD18np9w8+1qWYfc+uXftv3njNvb0xLb1VNr17t9djr3PZIZK45jyU9ccx4vFs9rvH9VvPZ9m67y2PQci563Ld3qddDMYcJPTkAAGBIBDkAAGBIRUHOap6clNSslfOf9Vld58vmWmaMTbXFK7e+d39ybUrtV6qOpW1T6+W2TbU9dfxKbdqPWt79Tm2zVF7u/G3axlNubllqm5rrMidV3tL5TrXZjBmPdy11brzL9sPStbat8np/ZnJtWVrWo7xd7E+plvvIYUBPDgAAGFJV4nFNQmbu/V7lrcrpndxcss6mOr1JaN6k05b98ibTefVoi7ed3sS5pUTAHom/Le1MbduyPy3JjiQeHwzbSjz23nt731NzvOXtVwJs7p7hfQhgqbz91uvBioOOnhwAADAkghwAADCkrcx4nOLtsvcOC5QOH6S0dIX2HqLJdWfWdCF66/Us87apZWjMO+SzNEST23apS9lznGv2OzeU1NJt7922ZfgU2+EdQvW816IlzWBp/R736NKh4152MWSY+5t4kBz09i2hJwcAAAypW+Kx11Kk3yPCb0nw9JaXa1NNb5U3qm9JamtJTt1U1lLbvNt6z0Vr2Z5tS3uuvO2t6fHJqal3xMTCw2Lpc1eaUF66rLQHt3VZSo86ettGIn/P8nbpILapFT05AABgSAQ5AABgSN3+g845b1ds767LlmEDzxBSTXdp6dBY7y7ZmuNYOgzTu7u5tMu0V1f6enm7GA6qGabr8Xlg2Gp3vOdm28tqtitNHu61bY86vFraUprK0Ks8+NGTAwAAhtTck1OaRNvy2GuqnJZE5pbEMG9dLZG+t4wevSY9vvXXPJbd49tMr0TN2kfIa9q0/l4vS3XQg7N7LQ8GbGu9bfUYeHtQa6ZO2OVj2L17POlB3T/05AAAgCER5AAAgCFVBTlm1/5v2Oc/qfVyy5aEEDZ2R67eW3o/1X6v1Pqp/fbWlVpvvh/rP956l4536bFY325eR03bU+1MbeO5tmrUXCsl7y11mS/ta2o97/XT0mYz097e3mJ52C7vNZ777KSuxaXPZalcGd7P6jbX63Gv6H2/KT236IeeHAAAMKSixOMjR44kewI8cgli3sQ4b1Kl5xt1jZZvQN4E6V5JottKCPeusyqvR+L1Ujk110BpXb0THL0J8V6lidTr1+Px48eL60SZms9CaSL9Li197koTipf2IVdHy32z9Bj3+nwe5HM7t63k7l2hJwcAAAyJIAcAAAxpq/PkpNTM2VDS7b5pWa+2eLb1Dqstlduj7S3ltdTVsxu5hreulmE6b/d1j277luG8pfXMTGeffbaOHj3qKgO7kzrvBzkx1dveln0oraPmPrKL497jWPUeQurxt+mgoScHAAAMqaonpyVBq1cEmEu0bEl+m/Mm6nrWb+lZqFnmVbsfLT1J3l6Jml66lt689W179UK19ESmysuVW3sNkHh8cCxdO9573y6V3vNqPlulD2yUHottfsZS25aOBiytt+1zf5h6b+boyQEAAEMiyAEAAEOqGq7yDvN4ebsEe8+PsNSW2sTflvl8eiWY5tbvMRxSc6xLh/+85aXKqbkuPO3zDhHUXEct13Rpt/phTSLEwU489up1/fW6l5SU37ts79xWcz2vgZo6D9M9g54cAAAwpG6PkPfugVjqIcrVu7ReS09GbjvvN/HSJNqlNvVI+qs5tp71U1p67lJqkg57fBNpeYQ81eOUWr/02NY8Ss4j5AfXYZkVN+Ugtukgqpm2ZFu9Vb0fbDkI6MkBAABDIsgBAABDap4nJ2UXc9jk1uudjNY7gXOXiYMtM+G2JBm3dLP3GHLqnfydG16qGbL07mPvuUZS6zNPzuHScj3h8NrFud12Ivd+oCcHAAAMqSjI2dvbk5kphHDVT4qZFX2zXCpv/v7qJ1fH6j3P+7mf3P5493G9vevHL7c/qTZ5jvt8vaV99JTnPd+p/fHuY8sx8+7PUh3r7y2dC2/be0jtf696zUx7e3td2ont894DANCTAwAABkWQAwAAhlSUeHzkyBH3UIDUb26HljlCUgl5pYnEqblkevAei5p5WFLl5hIWl7ZdX1aTfN6y3srSNdWS+Lu+rCWheEnv/c61OVXv+rkl8fhga0kyB05k9OQAAIAhFfXk7O3t6dixY8lekZZvFzU9NaW9K0uPFHu2qflmnyu3ZlbJ0v2o6S1KJd3mlD6mvtTzstS+0rbU9ir1mnbA2+OTa2fva29T2Tj4vD3lAOjJAQAAgyLIAQAAQ6pKPO4x9LNpmbeM0qTlpZltPYmbNfvgnVE3xTus1Xt4JdfOXLf40vFM1ZUbdiwdBtvUlly9qW1K9zFVR03SfY+hyF7J7Di4etxLgRMFPTkAAGBIVvLt/9xzz/1bSZ/eXnMA7JM7PPjBD77Ffjdim7h/AcPaeP8qCnIAAAAOC4arAADAkAhyAADAkAhyAADAkAhyAADAkAhyAADAkAhyAADAkAhyAADAkAhyAADAkAhyAADAkAhyAADAkAhyAADAkAhyAADAkAhyAADAkAhyAADAkAhyAADAkIqDHDO7wsw+MPt5xjYatlbnjc3sKRXbPdvMnr627IFm9p61ZaeY2efN7LYbyjnTzN5UWr+jfaea2SvM7JNm9j4zOyOzrpnZu8zsu2bLHmNmb+7drhJmdp6ZHdlyHXc1s/eY2T8lzueNzexVZvZRM/uImd0vLr+Xmb03XqN7ZnZ0m23E4cD9qx8ze46ZfSjev340LnukmV0cP4//LS67q5m928w+aGZ/amY3z5T5HfGzbvH3k83sQjP79t7t99rW8UvU82Yzuyge0xeb2clx+WPisivn91ozu5mZvcPMLjOzF24o8w1mdkli+c+YWdh0LszsSWb2ifjzpF77uB9qenL+MYRwr9nP87q36tpuLKn4JrHBOyXdzszuMFv2EEkfCiH8Tac6vH5Y0pdDCP9c0gsk/eqmFUMIQdK/lfTrZnaamd1A0n+SdFZt5TFwOgy9eV+S9JOS/nPivd+Q9OYQwl0l3VPSR+LyX5P0nBDCvSQ9K/4OcP/q572S/jdJxyQ918xOkfRFSf9K0t0l3d3M7h/XfUII4R6S3q3pPpYUQjhH0qc13Rsl6Sck7YUQ3l3byNiuw+CxIYR7ajqmt5D0mLj8EkmPknT+2vqXS/oFSU9Xgpk9StJlieW3l/RQSf9zw3Y3lfSLms7rUUm/aGY3Kd2Zg6LLHzgzO93MPmZmd4m/v3wW2V9mZi+Ikei5ZnaLuPxOMXJ9v5m908zuGpffysxeGyPai2IE/zxJd4rfvJ4f1/tZM7sgfmt4zqwtzzSzj5vZuyTdZb2tIYQrJf2xpMfNFj9O0svN7Gj8FnFh/OZxre3Xv12Z2SUWe2DM7Almdjy28yWrSDzj4ZJeFl+/StKDV99gUkIIl0h6o6T/oOkP9+9J+rKZvS4eh/ea2bfl2hl/PmZmv6fpw3P72TrfaWavnP1+1TcYM/tNm3pEPjQ/3mvH5rLZ60eb2Uvj61uY2avj+brAzP7VwnFZ3+8vhBAukPT/rdV3uqQHSPqduN7/CiF8ZbWZpBvF16dL2vUfABwS3L/q7l8hhD+JX75OknTltCicH0L4qqbP32mSLg8hfDSE8Jdxs1M1/XHOeZqknzOzb5X07yT9BzP7AZt6gi4xs6u+DGbuOS+1qTfkfVr7ghPvk986+/08MzuyD/f/awgh/EN8eYqk62o6hgohfCSE8LHE+l8LIbxLieNp05fgn5b0K4mqXiDp36/KT3iYpHNCCF8KIXxZ0jmSvrNkXw6UEELRj6QrJH1g9vP9cfl3SHqPpg/cm2frB0mPj6+fJemF8fW5ku4cXx+T9Pb4+hWSnhpfn6zpD9QZki6ZlflQSb8lyTR9wN6k6Y/dfSR9UNI3afoD90lJT0/swxFJF8bXp0r6gqSbxm1OicsfIunV8fWZkt4UXz97XqamQOEMSXfTFIBcJy5/kaQnxte/LelIoh2XSLrd7Pe/kHTzheN/fUkfi/t5qqT/KukX43sPkvSBhXaeoemGdN9E2adoiu6vH3//TU3fwCTpprNzcp6kb4u/n7faN0mXzcp6tKSXxtd/KOn+8fW3SPrI7Dz8dsG1t75P95J0XNJLJV0Yj/Oq7XeL+/LXkj4j6Q6l1zo/4/2I+9em+0Lx/Su+d514LM5aW/7Lkl65tuxhmnpab+w4Tz8h6R8k/ZCk28bP8i003aPeLukRcb1N95yXxuN6cqLsp2nq5ZWk20j6WHy98+OXaNtbJH1Z0z3z5LX3zkuVE4/RC9eWvUDSI3Xta+/hkn4jvv6UEn9vNPUM/fzs919Q4jo8LD813Xj/GKYhgGsIIZxjZo+RdLamYYOVKzV98CXpv0t6TYwyv13SK2cdF6fGfx8k6YmxzCsk/b1du6vsofHnwvj7DSTdWdINJb02hPB1aRqPTO1ACGHPzG4QI/W7SXpfCOFLNnXjvczM7qzp5nadpYMx82BNN6kL4j5dT9PNRyGEHykoJyuE8DUze4WmD/c/2dQd/H3xvbfbNE57o3wp+nQI4b2Jsr9hU47P95jZqyR9t6aIX5Iea2Y/pukmcxtN3dEXO5v9EE1d16vfb2RmNwgh7ElqOTanSLq3pJ8IIbzPzH5D0jM0fSh/XNLTQgivNrPHaurteUhDXRgD96+02vvXj2u6n5y9WmBm99T0B3aeP3KSps/gvw5X97bmnC3peSGEl5rZwyWdF0L421jWH2gKCl+3UMYr4zlY98eS3qppSOaxmnrRpSkg3df7fwjhYWZ2mqQ/0HQtnVPQBklTPqKkO4UQnmazPE8z+yZJ/5ema++E0W2sMl7Ed5P0dUk3kXTphlVX3ZtfSd1svNVJem4I4SVrbXhqQRkv1/St7W7xtTR9+3hHCOGR8eI4L7HdN3TNYb7TZm16WQjh5wra8BlNw0WX2jRufLqmMe0lV8afnE3tlKSvZbb7I01dxF/SNBb+VTO7o6bo/l+GEL4cu4RPS2w77/6cv3+Spp6jpW5qSZKZnSXpR+Ov/0fYnGtwqaRLQwjvi7+/SlOQI0lPkvRT8fUrNX2bApK4f1XdvyTp2yT9ydqye0j607XP+20l/X0I4ROeQkMIV5rZpuGUa6w6e71+T0re50IInzGzL9o0tP/9ujpHaGfHLw5lvT/++oYQwrNm7bvczF6vqdelOMiRdD9JR8zsU5r+xt/SzM7T1Dt2R0kXxUDsdpL+3MyOhhA+N9v+M5p6r1Zup/SxOBR6Jp0+TVNX5A9K+l0zW0XBJ2nqRlR8711hGnv8q/jNaZUAu/r2dK6mbwerzPrTJX1V07eclbdIenL8RiUz+2Yzu6WmxKxHmNn1zOyGkr4n096XS3qCpmj59XHZ6ZpOsDR1AaZ8SlPvgczs3poumlW7Hx3bITO7qV0zOTDlDZr+GEvTMXp7CCHE/Tl3YduVd0p6fKzzTEl/F4/vpnYu+dO43Y9qCnikqRv3a5q+ld5K0ndt2PbzZna3+AfjkbPlb9X0AVNsz71yDQghnB2uTgzdmEsTP5h/PRs7f7CkD8fXfyPpgfH1gyS5bq44YXH/Kr9/SdJ/0zTMN/dninlyM1+W9DPzBWb2XDN7pJYdl/RAM7t5DA5+QNN9Stp8z1nyCk291KeHEFY90js7fiGEK2b3uGfFnrnbxG1P0dSL/tGC/ZmX/ZshhNuGEM6QdH9JHw8hnBlC+GAI4ZYhhDPie5dKuvdagCNN1+dDzewmsRfyoXHZoVQT5FzPrvkI5vPiH5kfkfQzIYR3avqw/nxc/2uSjtr0GNuDJP1SXP54ST9sZhdJ+pCmqFWavn3/azP7oKZI9+4hhC9K+jObkryeH0J4q6Yxy/fE9V4l6YYhhD/XdPFepOnbxQWbdiKE8JHYtreHEFYR/69pekrgQm3u5Xq1pJua2Yc09Xh8PJb34bjPbzWzizVF4KuL9rct/Zj170i6mZl9UlOS2KoX4jaavjF4PFvSfWKdz9PVQVOynUti9+6bNAUyb4rLLtLUtf5RTcf9zzZs/oy4zbslfXa2/Cc1fbO42Mw+rPjNyaZkv8UeFjO7tZldqukY/byZXWpXD8n9hKQ/iPt/L01PnElTkPZ/x+vrP0n6McfuY3zcv/rdv6Tpj/Fd15bdQ9ceEjld1x6avoek9T+w1xJC+Kyme8s7NB2b94cQVoHdpnvOkldp6gn749my/Th+K9eX9Ia47Qc0DXW9OG7/yHj/u5+k/9fMrgo4Ym/Nr0v6oXhfvLtv969pfi8OIXxJU6/WBfHnl+KyQ8lC8PQINlRgdlkI4QZbrWQwZvbvJP3PEEJyTB7AbnD/2h4ze0sI4WH73Q6MjSAHADbg/gUcblsPcgAAAPbDYZjtFgAAoBhBDgAAGBJBDgAAGBJBDgAAGBJBDgAAGBJBDgAAGNL/D9aCgF3R4TtLAAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "## Solution\n", - "\n", - "\n", - "def energy(state):\n", - " E = 0\n", - " N, M = state.shape\n", - " for i in range(N):\n", - " for j in range(M):\n", - " # handle the north and south neighbours\n", - " for di in [1, -1]:\n", - " if 0 <= (i + di) < N:\n", - " E -= state[i, j] * state[i + di, j]\n", - "\n", - " # handle the east and west neighbours\n", - " for dj in [1, -1]:\n", - " if 0 <= (j + dj) < M:\n", - " E -= state[i, j] * state[i, j + dj]\n", - "\n", - " return E\n", - "\n", - "\n", - "expected_values = [\n", - " E_prediction_all_the_same(100),\n", - " E_prediction_all_the_same(100),\n", - " 0,\n", - " \"???\",\n", - "]\n", - "\n", - "f, axes = plt.subplots(ncols=2, nrows=2, figsize=(10, 10))\n", - "axes = axes.flatten()\n", - "for ax, state, exp_value in zip(axes, states, expected_values):\n", - " show_state(state, ax=ax)\n", - " ax.text(\n", - " 0,\n", - " -0.1,\n", - " f\"Expected Value: {exp_value}, Your value: {energy(state)}\",\n", - " transform=ax.transAxes,\n", - " )" - ] - }, - { - "cell_type": "markdown", - "id": "84ee0a62-6ab1-4565-a236-2ccfcc378acc", - "metadata": {}, - "source": [ - "It's a bit tricky to know what to do with the random value, let's try running it 100 times and see what we get:" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "686782b5-aa37-4084-9786-538fdc89fef1", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "mean = -0.24, standard error = 29.819071481184658\n" - ] - }, - { - "data": { - "image/png": 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a7wD+V1XVGOuUJB2kRR+6acfc3wd8BTgEuLaqHkzyYWCmqm4GrgH+R5LtwG4GvwyeD1bFIaQDWO01Wt94rG88q70+WMYa4w62JPXNb8ZKUucMeknq3As+6JOckeSOJPcmmUmyrvUnyZ+22zfcn+TMoc9ckuTR9rpk/qVPrMbfTvLtJA8m+ehQ/wdbfY8keetQ/35vTbFENX4gSSU5pk2viu2X5GNt292f5KYkRw3NWzXbb07NK7r+VsOJSb6a5KH29+79rX9tkq3tZ7c1ydGtf96f9xLWeEiS/5Pkr9v0ye1WK9vbrVcOa/0rciuWJEcl+Wz7+/dwktet2Parqhf0C7gNOK+1NwB/O9T+EhDgtcCdrX8t8Fh7P7q1j17C+t4I/A3wojb9r9r7acB9wIuAk4HvMDgpfkhrvxI4rI05bYm34YkMTsp/FzhmlW2/c4A1rf0R4COrbfvNqXdF1z9Ux3HAma19JPB3bZt9FNjU+jcNbc+RP+8lrvG/An8F/HWb/jRwUWtvBi5t7d8CNrf2RcCnlmkbXge8p7UPA45aqe33gt+jBwr4l639EuB7rX0hcH0N3AEcleQ44K3A1qraXVU/ArYC5y5hfZcCV1bVPwFU1a6h+j5ZVf9UVX8PbGdwW4qF3Jpi0j4O/A6DbbnXqth+VXVbVe1pk3cw+L7H3vpWy/YbttLrB6Cqnqyqe1r7WeBhBt90H76tyXXA21t7vp/3kkhyAnA+cHWbDvAmBrdaGVXbst6KJclLgDcwuPKQqvppVf2YFdp+Bj1cDnwsyRPAfwM+2PpH3eLh+P30L5VfBH6l/Zfzfyf55dVUX5ILgZ1Vdd+cWauivjnexWCvif3UsZL17a+uFdMOdbwauBM4tqqebLO+Dxzb2std9x8z2Ln4WZt+KfDjoV/qw+vf51YswN5bsSylk4FZ4L+3w0tXJzmCFdp+q+YWCEspyd8ALxsx60PAeuC/VNXnkvwag9/Ab15F9a1hcJjjtcAvA59O8splLO9A9f0ug8MjK2Z/9VXVF9uYDwF7gBuWs7bnuyQvBj4HXF5VzwzvCFdVJVn267OTXADsqqq7k5y93OtfoDXAmcBvV9WdSf6EwaGa/285t98LIuirat7gTnI98P42+RnafwWZ/xYPO4Gz5/T/7RLWdynw+RocyLsryc+AY/ZTH/vpn2h9Sf4tgz2X+1oAnADck8EJ7VWx/Vqd7wQuANa37ch+6mM//cthIbcWWRZJDmUQ8jdU1edb91NJjquqJ9uhhb2HEpez7tcDb0uyATicwaHXP2FwuGNN22sfXv/e2nZk+W7FsgPYUVV3tunPMgj6ldl+y3FSYjW/GBx7PLu11wN3t/b57Hty5K7Wvxb4ewYnEo9u7bVLWN97gQ+39i8y+O9dgFex78nExxicyFvT2ifz85N5r1qmbfk4Pz8Zu1q237nAQ8DUnP5Vt/1aXSu6/qE6AlwP/PGc/o+x78nEj+7v570MdZ7Nz0/GfoZ9T8b+Vmtfxr4nYz+9TLV9DTi1tX+/bbsV2X7L+pdnNb6As4C72z+oO4F/3/rD4MEq3wG+BUwPfeZdDE7ebQd+Y4nrOwz4n8ADwD3Am4bmfajV9wjtyqHWv4HBVRLfYXD4Yrm25XDQr5btt53BL8d722vzat1+q2X9rYazGJxcv39o221gcGx7G/Aog6vB1h7o573EdQ4H/SuBu9rP/DP8/Eq1w9v09jb/lctU2xnATNuGX2CwY7Mi289bIEhS57zqRpI6Z9BLUucMeknqnEEvSZ0z6CWpcwa9JHXOoJekzv0/9EmysSYu9h8AAAAASUVORK5CYII=\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "L = 100 # How large the system should be\n", - "N = 100 # How many random samples to use\n", - "energies = [energy(np.random.choice([-1, 1], size=(L, L))) for _ in range(N)]\n", - "plt.hist(energies)\n", - "print(f\"mean = {np.mean(energies)}, standard error = {np.std(energies) / np.sqrt(N)}\")" - ] - }, - { - "cell_type": "markdown", - "id": "8da38c5b-f166-4530-b046-3600b4d84c5d", - "metadata": {}, - "source": [ - "If you run this a few times you'll see the mean is usually within a few standard errors of 0, which gives us some confidence. In the testing section we will discuss how we might go about doing automated tests of random variables like this. " - ] - }, - { - "cell_type": "markdown", - "id": "3bd3831b-f8de-4a8e-aaf6-7aa158cf9d82", - "metadata": {}, - "source": [ - "### Making it a little faster\n", - "\n", - "This project is not intended to focus on optimising for performance but it is worth putting a little effort into making this function faster so that we can run experiments more quickly later.\n", - "\n", - "The main thing that slows us down here is that we've written a 'tight loop' in pure python, the energy function is just a loop over the fundamental operation:\n", - "```python\n", - "E -= state[i,j] * state[i+di, j]\n", - "```\n", - "which in theoy only requires a few memory load operations, a multiply, an add and a store back to memory (give or take). However because Python is such a dynamic language, it will have to do extra things like check the type and methods of `state` and `E`, invoke their array access methods `object.__get__`, etc etc. We call this extra work overhead.\n", - "\n", - "In most cases the ratio of overhead to actual computation is not too bad, but here because the fundamental computation is so simple it's likely the overhead accounts for much more of the overal time.\n", - "\n", - "In scientific python like this there are usually two main options for reducing the overhead:\n", - "\n", - "#### Using Arrays\n", - "One way is we work with arrays of numbers and operations defined over those arrays such as `sum`, `product` etc. `Numpy` is the canonical example of this in Python but many machine learning libraries are essentually doing a similar thing. We rely on the library to implement the operations efficiently and try to chain those operations together to achieve what we want. This imposes some limitations on the way we can write our code.\n", - "\n", - "#### Using Compilation\n", - "The alternative is that we convert our Python code into a more efficient form that incurs less overhead. This requires a compilation or transpilation step and imposes a different set of constraints on the code.\n", - "\n", - "It's a little tricky to decide which of the two approaches will work best for a given problem. My advice would be to have some familiarity with both but ultimatly to use what makes your development experience the best, since you'll likely spend more time writing the code than you will waiting for it to run!" - ] - }, - { - "cell_type": "markdown", - "id": "6b2ed23c-32f2-40af-bf45-e60004c275a2", - "metadata": {}, - "source": [ - "## Exercise 2: Write a faster version of `energy(state)`\n", - "\n", - "You can use `numpy`, `numba`, `cython`, or anything else, by what factor can you beat the naive approach? Numba is probably the easiest here." - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "40386cda-cc14-4fdd-8f9f-71840d1ebb40", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Naive baseline implementation\n", - "74.5 ms ยฑ 4.77 ms per loop (mean ยฑ std. dev. of 7 runs, 10 loops each)\n", - "\n", - "Your version\n", - "73.7 ms ยฑ 2.61 ms per loop (mean ยฑ std. dev. of 7 runs, 10 loops each)\n", - "Your speedup: 1x !\n" - ] - } - ], - "source": [ - "def test_energy_function(energy_function):\n", - " assert np.all(energy_function(state) == energy(state) for state in states)\n", - "\n", - "\n", - "def time_energy_function(energy_function):\n", - " return [energy_function(state) for state in states]\n", - "\n", - "\n", - "def your_faster_energy_function(state):\n", - " return energy(\n", - " state\n", - " ) # <-- replace this with your implementation and compare how fast it runs!\n", - "\n", - "\n", - "print(\"Naive baseline implementation\")\n", - "test_energy_function(\n", - " energy\n", - ") # this should always pass because it's just comparing to itself!\n", - "naive = %timeit -o time_energy_function(energy)\n", - "\n", - "print(\"\\nYour version\")\n", - "test_energy_function(your_faster_energy_function)\n", - "yours = %timeit -o time_energy_function(your_faster_energy_function)\n", - "print(f\"Your speedup: {naive.best/yours.best :.0f}x !\")" - ] - }, - { - "cell_type": "markdown", - "id": "a27bb821-c33f-4966-8676-4295cfd695ab", - "metadata": {}, - "source": [ - "## Solution 2" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "c96720d4-2c0b-4fa5-b9ce-4fc7be533a62", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Naive baseline implementation\n", - "73.6 ms ยฑ 1.82 ms per loop (mean ยฑ std. dev. of 7 runs, 10 loops each)\n", - "\n", - "Numba version\n", - "199 ยตs ยฑ 5.91 ยตs per loop (mean ยฑ std. dev. of 7 runs, 100 loops each)\n", - "Numba Speedup: 377x !\n", - "\n", - "Numpy version\n", - "163 ยตs ยฑ 4.46 ยตs per loop (mean ยฑ std. dev. of 7 runs, 100 loops each)\n", - "Numpy Speedup: 452x !\n" - ] - } - ], - "source": [ - "def test_energy_function(energy_function):\n", - " return [energy_function(state) for state in states]\n", - "\n", - "\n", - "from numba import jit\n", - "\n", - "\n", - "@jit(nopython=True)\n", - "def numba_energy(state):\n", - " E = 0\n", - " N, M = state.shape\n", - " for i in range(N):\n", - " for j in range(M):\n", - " # handle the north and south neighbours\n", - " for di in [1, -1]:\n", - " if 0 <= (i + di) < N:\n", - " E -= state[i, j] * state[i + di, j]\n", - "\n", - " # handle the east and west neighbours\n", - " for dj in [1, -1]:\n", - " if 0 <= (j + dj) < M:\n", - " E -= state[i, j] * state[i, j + dj]\n", - "\n", - " return E\n", - "\n", - "\n", - "def numpy_energy(state):\n", - " E = -np.sum(state[:-1, :] * state[1:, :]) - np.sum(state[:, :-1] * state[:, 1:])\n", - " return 2 * E\n", - "\n", - "\n", - "print(\"Naive baseline implementation\")\n", - "naive = %timeit -o time_energy_function(energy)\n", - "\n", - "print(\"\\nNumba version\")\n", - "test_energy_function(numba_energy)\n", - "numba = %timeit -n 100 -o time_energy_function(numba_energy)\n", - "print(f\"Numba Speedup: {naive.best/numba.best :.0f}x !\")\n", - "\n", - "print(\"\\nNumpy version\")\n", - "test_energy_function(numpy_energy)\n", - "numpy = %timeit -n 100 -o time_energy_function(numpy_energy)\n", - "print(f\"Numpy Speedup: {naive.best/numpy.best :.0f}x !\")" - ] - }, - { - "cell_type": "markdown", - "id": "7d80c912-3773-4c53-a4e9-3f7ee66e2e0f", - "metadata": {}, - "source": [ - "While writing the above faster versions I realised two things, first there was a bug in my code! I had written \n", - "```python\n", - "for dj in [1,-1]:\n", - " if 0 <= (j + dj) < M:\n", - " E -= state[i,j] * state[i+di, j]\n", - "```\n", - "where I of course meant to have:\n", - "```python\n", - "for dj in [1,-1]:\n", - " if 0 <= (j + dj) < M:\n", - " E -= state[i,j] * state[i, j+dj]\n", - "```\n", - "I found this while writing the numpy version because the two functions were not giving the same results, I didn't pick it up from writing the numba code because as you can see I just copied the implementation over. So the first lesson is that simple test cases don't always catch even relatively obvious bugs. \n", - "\n", - "The second thing was that even my naive function was doing more work than it needed to! Because if the symmetry of how two neighbours talks to each other, we can rewrite the code as:" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "755ec34c-4975-467f-a559-f585f9d6a42f", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "Improved Naive version\n", - "37.6 ms ยฑ 1.81 ms per loop (mean ยฑ std. dev. of 7 runs, 10 loops each)\n", - "Speedup: 2x !\n" - ] - } - ], - "source": [ - "def energy2(state):\n", - " E = 0\n", - " N, M = state.shape\n", - " for i in range(N):\n", - " for j in range(M):\n", - " # handle the north and south neighbours\n", - " if 0 <= (i + 1) < N:\n", - " E -= state[i, j] * state[i + 1, j]\n", - "\n", - " # handle the east and west neighbours\n", - " if 0 <= (j + 1) < M:\n", - " E -= state[i, j] * state[i, j + 1]\n", - "\n", - " return 2 * E\n", - "\n", - "\n", - "print(\"\\nImproved Naive version\")\n", - "energy2(states[0]) # run the function once to let numba compile it before timing it\n", - "e2 = %timeit -o test_energy_function(energy2)\n", - "print(f\"Speedup: {naive.best/e2.best :.0f}x !\")" - ] - }, - { - "cell_type": "markdown", - "id": "5d1874d4-4585-49ed-bc6f-b11c22231669", - "metadata": {}, - "source": [ - "## Conclusion\n", - "So far we've discussed the problem we want to solve, written a little code, tested it a bit and made some speed improvements.\n", - "\n", - "In the next notebook we will package the code up into a little python package, this is has two big benefits to use: \n", - "1. I won't have to redefine the energy function we just wrote in the next notebook \n", - "1. It will help with testing and documenting our code later" - ] - } - ], - "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 -} diff --git a/learning/07 Producing research outputs.ipynb b/learning/07 Producing research outputs.ipynb deleted file mode 100644 index 01121ef..0000000 --- a/learning/07 Producing research outputs.ipynb +++ /dev/null @@ -1,283 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "5ac56056-ca33-4f13-8e36-564b94144c1e", - "metadata": { - "tags": [] - }, - "source": [ - "

Markov Chain Monte Carlo for fun and profit

\n", - "

๐ŸŽฒ โ›“๏ธ ๐Ÿ‘‰ ๐Ÿงช

" - ] - }, - { - "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": [ - "
" - ] - }, - "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": [ - "" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "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 -}