{ "cells": [ { "cell_type": "markdown", "id": "b632c9d2", "metadata": {}, "source": [ "# Formalizing the Problem\n", "---\n", "*Notation and definitions for the tuning curve and random search*" ] }, { "cell_type": "code", "execution_count": 1, "id": "1838de65", "metadata": {}, "outputs": [], "source": [ "# imports\n", "\n", "from matplotlib import pyplot as plt\n", "import numpy as np\n", "\n", "from experiments.simulation import make_damped_linear_sin, Simulation\n", "from experiments.visualization import plot_distribution, plot_random_search\n", "\n", "\n", "# Configure environment.\n", "\n", "np.random.seed(0)\n", "\n", "\n", "# Configure Matplotlib.\n", "\n", "plt.style.use('experiments.default')" ] }, { "cell_type": "markdown", "id": "0ed60a72", "metadata": { "jp-MarkdownHeadingCollapsed": true }, "source": [ "## A Model of Random Search\n", "\n", "### Problem Setup\n", "\n", "In *blackbox optimization*, we make a choice of inputs and then receive some benefit. Let $\\pmb{x} = (x_1, \\ldots, x_d)$ denote the vector of inputs, which takes values in a *search space*, $\\pmb{x} \\in \\mathbb{X}$. For simplicity, we assume that the inputs are real numbers, $\\mathbb{X} \\subset \\mathbb{R}^d$, and each has a corresponding bound, $a_j < x_j < b_j$; however, many of our results don't require this assumption. For any given choice, its value is a deterministic function of the inputs: $g(\\pmb{x})$, $g: \\mathbb{X} \\to \\mathbb{R}$.\n", "\n", "In *random search*, we sample the inputs independently and identically from some distribution, $\\mathcal{X}$, and keep the best. Thus, the inputs are random variables:\n", "\n", "$$ \\pmb{X}_i = [X_{i1}, \\ldots, X_{id}] \\sim \\mathcal{X};\\;\\; 1 \\leq i \\leq n $$\n", "\n", "And each random input has a corresponding benefit, $Y_i$:\n", "\n", "$$ Y_i = g(\\pmb{X}_i) \\in \\mathbb{R};\\;\\; 1 \\leq i \\leq n $$\n", "\n", "In general, $Y_i$ may not be a *deterministic* function of $\\pmb{X}_i$, in which case $Y_i$ would have some distribution determined by $\\pmb{X}_i$ instead.\n", "\n", "All $Y_i$ are independent and identically distributed since all $\\pmb{X}_i$ are. Let $\\mathcal{Y}$ denote the distribution for $Y_i$. In addition, let $Y_{(i)}$ denote the $i^{th}$ order statistic, i.e. the $i^{th}$ smallest number from $Y_1, \\ldots, Y_n$.\n", "\n", "### The Tuning Curve\n", "\n", "We're interested in the *tuning curve*, or the best benefit found after the first $k$ samples (as a function of $k$):\n", "\n", "$$ T_k = \\max_{i=1\\ldots k} Y_i $$\n", "\n", "The tuning curve's distribution is described by its cumulative distribution function (CDF):\n", "\n", "$$ F_k(y) = \\mathbb{P}\\left(T_k \\leq y\\right) $$\n", "\n", "Or, equivalently by its probability density function (PDF):\n", "\n", "$$ f_k(y) = \\frac{d}{dy} F_k(y) $$\n", "\n", "Which is in general the Radon-Nikodym derivative of the probability measure with respect to an appropriate base measure.\n", "\n", "### Useful Facts\n", "\n", "Let $F$ denote the CDF and $f$ the PDF for $\\mathcal{Y}$. Then, we have a particularly simple formula for the CDF of the tuning curve:\n", "\n", "$$\n", "\\begin{align*}\n", " F_k(y) &= \\mathbb{P}\\left(T_k \\leq y\\right) \\\\\n", " &= \\mathbb{P}\\left(\\max_{i=1\\ldots k} Y_i \\leq y\\right) \\\\\n", " &= \\mathbb{P}\\left(Y_1 \\leq y\\land\\ldots\\land Y_k \\leq y\\right) \\\\\n", " &= \\prod_{i=1}^k \\mathbb{P}\\left(Y_i \\leq y\\right) \\\\\n", " &= F(y)^k \\\\\n", "\\end{align*}\n", "$$\n", "\n", "Or, more elegantly:\n", "\n", "$$ F_k(y) = F(y)^k $$\n", "\n", "We obtain the PDF of $T_k$ by taking the derivative:\n", "\n", "$$ f_k(y) = k F(y)^{k-1} f(y) $$" ] }, { "cell_type": "markdown", "id": "101a0377", "metadata": {}, "source": [ "## An Example\n", "\n", "Let's simulate an example to get some intuition." ] }, { "cell_type": "markdown", "id": "58a65fcb", "metadata": {}, "source": [ "### Visualizing Random Search\n", "\n", "Here's what the process of random search looks like:" ] }, { "cell_type": "code", "execution_count": 2, "id": "91bec08e", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Generate a multimodal function.\n", "func = make_damped_linear_sin(weights=[1.], bias=0., scale=1.)\n", "\n", "# Simulate random search.\n", "s = Simulation.run(\n", " n_trials=10_000,\n", " n_samples=100,\n", " n_dims=1,\n", " func=func,\n", " bounds=[(-1, 1)],\n", ")\n", "\n", "# Visualize the simulation.\n", "fig, ax = plot_random_search(s.func, bounds=s.bounds[0])\n", "ax.grid(visible=False)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "d7642ef8", "metadata": {}, "source": [ "Each \"x\" marks a point drawn from $\\mathcal{X}$, where we evaluated $g(\\pmb{X}_i)$. As more points are sampled, we find ones closer and closer to the maximum." ] }, { "cell_type": "markdown", "id": "8b3732b3", "metadata": {}, "source": [ "### Examining the CDF of the Max\n", "\n", "With more samples, the distribution of the best score, $T_i$, becomes more regular and concentrates near the maximum." ] }, { "cell_type": "code", "execution_count": 3, "id": "cba085df", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for n in [1, 10, 100]:\n", " fig, _ = plot_distribution(s.yss_cummax[:, n - 1], name=f'T_{{{n}}}')\n", " fig.suptitle(f'$n = {n}$')\n", " plt.show()" ] }, { "cell_type": "markdown", "id": "f7a81895", "metadata": {}, "source": [ "### Plotting the Tuning Curve\n", "\n", "Instead of visualizing the distribution of each $T_k$ separately, we can see the trend as $k$ increases by plotting some summary statistic, like the mean or median, as a function of $k$:" ] }, { "cell_type": "code", "execution_count": 4, "id": "c3f8b942", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(6, 5))\n", "\n", "ax.plot(s.ns, np.mean(s.yss_cummax, axis=0))\n", "ax.set_xlabel('k')\n", "ax.set_ylabel(r'$\\mathbb{{E}}[T_k]$')\n", "ax.set_title(f'Expected Tuning Curve')\n", "\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.0" } }, "nbformat": 4, "nbformat_minor": 5 }