{ "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 Simulation, make_damped_linear_sin\n", "from experiments.visualization import plot_distribution\n", "\n", "# Configure environment.\n", "\n", "generator = np.random.RandomState(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 score. 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 $\\pmb{X}_i$ has a corresponding score, $Y_i$:\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. The distribution of $Y_i$ is called the *score distribution*, $\\mathcal{Y}$. 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 Process\n", "\n", "We're interested in the *tuning process*, or the best score 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 process'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 process:\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", " generator=generator,\n", ")\n", "\n", "# Visualize the simulation.\n", "fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(12, 5))\n", "\n", "n_samples = 10\n", "n_grid = 1_024\n", "\n", "grid = np.linspace(*s.bounds[0], num=n_grid).reshape(n_grid, 1)\n", "\n", "y_argmax = grid[np.argmax(s.func(grid))]\n", "\n", "xs = generator.uniform(*s.bounds[0], size=(n_samples, 1))\n", "ys = s.func(xs)\n", "\n", "ax.plot(\n", " grid,\n", " s.func(grid),\n", " linestyle=\"-\",\n", " c=\"grey\",\n", " label=r\"$y = g(x)$\",\n", ")\n", "ax.axvline(\n", " y_argmax,\n", " linestyle=\"--\",\n", " c=\"grey\",\n", " label=r\"$\\operatorname{arg\\,max} g(x)$\",\n", ")\n", "ax.scatter(xs, ys, marker=\"x\", c=\"k\", s=50)\n", "for x in xs:\n", " ax.axvline(x, linestyle=\":\", c=\"grey\")\n", "\n", "ax.grid(visible=False)\n", "ax.set_xlabel(r\"$x$\")\n", "ax.set_ylabel(r\"$y$\")\n", "ax.set_title(\"Random Search\")\n", "\n", "ax.legend()\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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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for k in [1, 10, 100]:\n", " fig, _ = plot_distribution(s.yss_cummax[:, k - 1], name=f\"T_{{{k}}}\")\n", " fig.suptitle(f\"$k = {k}$\")\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(\"Expected Tuning Curve\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "e9107ebb-c455-4b3a-8abe-2e6408509fb6", "metadata": {}, "source": [ "This function is called the mean (or median) *tuning curve*." ] } ], "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 }