{ "cells": [ { "cell_type": "markdown", "id": "ebfbeee5", "metadata": {}, "source": [ "# Nonparametric Analysis\n", "---\n", "*Nonparametric, distribution-free analysis and confidence intervals for tuning curves*\n", "\n", "See [**Formalizing the Problem**](./formalizing-the-problem.ipynb) for notation and definitions. For more discussion, see our paper: [**Show Your Work with Confidence: Confidence Bands for Tuning Curves**](https://arxiv.org/abs/2311.09480)." ] }, { "cell_type": "code", "execution_count": 1, "id": "861e06c2", "metadata": {}, "outputs": [], "source": [ "# imports\n", "\n", "from matplotlib import pyplot as plt\n", "import numpy as np\n", "from scipy import stats\n", "\n", "from experiments.simulation import Simulation, make_damped_linear_sin\n", "from opda.nonparametric import EmpiricalDistribution\n", "import opda.random\n", "from opda.utils import beta_equal_tailed_interval, beta_highest_density_interval\n", "\n", "# constants\n", "\n", "confidence = 0.80\n", "\n", "\n", "# Configure environment.\n", "\n", "generator = np.random.RandomState(0)\n", "opda.random.set_seed(generator)\n", "\n", "\n", "# Configure Matplotlib.\n", "\n", "plt.style.use(\"experiments.default\")" ] }, { "cell_type": "markdown", "id": "e60dfb19", "metadata": {}, "source": [ "## Point Estimates\n", "\n", "The literature offers several point estimators for the expected tuning curve, $\\tau_e(k) = \\mathbb{E}[T_k]$:\n", "\n", "- **Naive** The cumulative maximum from the first $k$ samples:\n", "\n", " $$\\hat{\\tau}_e(k) = \\max_{1\\leq i \\leq k} Y_i$$\n", "\n", "- **$V$ Statistic [(Dodge et al., 2019)](https://aclanthology.org/D19-1224/)** The expectation of the cumulative maximum over resampling with replacement:\n", "\n", " $$\\hat{\\tau}_e(k) = \\sum_{i=1}^n Y_{(i)}\\left[\\left(\\frac{i}{n}\\right)^k - \\left(\\frac{i-1}{n}\\right)^k\\right]$$\n", "\n", "- **$U$ Statistic [(Tang et al., 2020)](https://aclanthology.org/2020.acl-main.246/)** The expectation of the cumulative maximum over all permutations of the data:\n", "\n", " $$\\hat{\\tau}_e(k) = \\sum_{i=1}^n Y_{(i)}\\left[\\frac{\\binom{i}{k}}{\\binom{n}{k}} - \\frac{\\binom{i-1}{k}}{\\binom{n}{k}}\\right]$$\n", " \n", "See [(Dodge et al., 2021)](https://arxiv.org/abs/2110.00613) for discussion.\n", "\n", "To assess these point estimators' merits, we can simulate random search," ] }, { "cell_type": "code", "execution_count": 2, "id": "3393dede", "metadata": {}, "outputs": [], "source": [ "s = Simulation.run(\n", " n_trials=10_000,\n", " n_samples=24,\n", " n_dims=3,\n", " func=make_damped_linear_sin(scale=1, weights=[1, 2, 1], bias=0),\n", " bounds=[(-1, 1)] * 3,\n", " generator=generator,\n", ")\n", "grid = np.linspace(s.y_min + 1e-15, s.y_max - 1e-15, num=1_000)" ] }, { "cell_type": "markdown", "id": "63c4fa83", "metadata": {}, "source": [ "and compare the estimators to the ground truth:" ] }, { "cell_type": "code", "execution_count": 3, "id": "cda3f005", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "d = EmpiricalDistribution(s.ys)\n", "\n", "# Plot different point estimates for the tuning curve.\n", "fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(6, 5))\n", "\n", "ax.plot(s.ns, d.naive_tuning_curve(s.ns), label=\"Naive\")\n", "ax.plot(s.ns, d.v_tuning_curve(s.ns), label=\"$V$ Statistic\")\n", "ax.plot(s.ns, d.u_tuning_curve(s.ns), label=\"$U$ Statistic\")\n", "ax.plot(s.ns, np.mean(s.yss_cummax, axis=0), label=\"Truth\")\n", "\n", "# Format the plot.\n", "ax.legend(loc=\"lower right\")\n", "ax.spines[\"right\"].set_color(\"lightgrey\")\n", "ax.spines[\"top\"].set_color(\"lightgrey\")\n", "ax.set_xlabel(\"k\")\n", "ax.set_ylabel(r\"$\\hat{{\\tau}}_e(k)$\")\n", "ax.set_title(\"Expected Tuning Curve Estimators\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "e68e9a19", "metadata": {}, "source": [ "The naive estimator uses the data inefficiently, with the $U$ and $V$ estimators clearly outperforming it. However, the $U$ and $V$ estimators can disagree substantially and have a lot of noise. Ideally, we'd like confidence bands around the tuning curve so that we know whether our inferences are *reliable* when comparing two models." ] }, { "cell_type": "markdown", "id": "d6dfe95c", "metadata": {}, "source": [ "## Confidence Bands\n", "\n", "As mentioned in [Formalizing the Problem](./formalizing-the-problem.ipynb#Useful-Facts), the CDF for a single iteration of random search, $F$, and for the tuning curve, $F_k$, share a simple algebraic relationship:\n", "\n", "$$ F_k(y) = F(y)^k $$\n", "\n", "Thus, we can translate confidence bands on $Y$'s CDF into confidence bands on $T_k$'s. If we want a simultaneous confidence band for the whole tuning curve, then the CDF bands must hold simultaneously as well, and not just pointwise." ] }, { "cell_type": "markdown", "id": "d4270748", "metadata": {}, "source": [ "### Bounding the CDF\n", "\n", "[The Dvoretzky-Kiefer-Wolfowitz (DKW) Inequality](https://en.wikipedia.org/wiki/Dvoretzky-Kiefer-Wolfowitz_inequality) provides the standard, asymptotic confidence bound for the CDF:\n", "\n", "$$ \\mathbb{P}\\left(\\sup_{y\\in\\mathbb{R}}|\\hat{F}(y) - F(y)| > \\epsilon \\right) \\leq 2e^{-2n\\epsilon^2} $$\n", "\n", "While the DKW inequality is asymptotically tight, for finite samples the bound can be improved. The quantity:\n", "\n", "$$ D_n = \\sup_{y\\in\\mathbb{R}} |\\hat{F}(y) - F(y)| $$\n", "\n", "is known as the Kolmogorov-Smirnov (KS) statistic. Regardless of the distribution $\\mathcal{Y}$, $D_n$ has the Kolmogorov-Smirnov distribution and forms the basis of the [Kolmogorov-Smirnov test](https://en.wikipedia.org/wiki/Kolmogorov-Smirnov_test). By inverting this test, we obtain simultaneous confidence bands for the CDF, essentially tightening the DKW inequality in finite samples.\n", "\n", "Let's compare the conservative CDF bands from the DKW inequality to the exact ones from the KS test:" ] }, { "cell_type": "code", "execution_count": 4, "id": "3c0c5b4e", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Construct the CDF confidence bands.\n", "dkw_lower_cdf, point_cdf, dkw_upper_cdf = EmpiricalDistribution.confidence_bands(\n", " s.ys, confidence=confidence, method=\"dkw\", a=s.y_min, b=s.y_max,\n", ")\n", "ks_lower_cdf, _, ks_upper_cdf = EmpiricalDistribution.confidence_bands(\n", " s.ys, confidence=confidence, method=\"ks\", a=s.y_min, b=s.y_max,\n", ")\n", "\n", "# Plot the CDF confidence bands.\n", "fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(6, 5))\n", "\n", "ax.plot(grid, point_cdf.cdf(grid), c=\"k\", linestyle=\"-\", label=\"eCDF\")\n", "ax.plot(grid, dkw_lower_cdf.cdf(grid), c=\"tab:green\", linestyle=\"-.\", label=\"DKW\")\n", "ax.plot(grid, dkw_upper_cdf.cdf(grid), c=\"tab:green\", linestyle=\"-.\")\n", "ax.plot(grid, ks_lower_cdf.cdf(grid), c=\"tab:orange\", linestyle=\"--\", label=\"KS\")\n", "ax.plot(grid, ks_upper_cdf.cdf(grid), c=\"tab:orange\", linestyle=\"--\")\n", "\n", "for i in range(1, 21):\n", " ax.plot(grid, EmpiricalDistribution(s.yss[i, :]).cdf(grid), c=\"grey\", linewidth=0.5)\n", "\n", "# Format the plot.\n", "ax.legend()\n", "ax.spines[\"right\"].set_color(\"lightgrey\")\n", "ax.spines[\"top\"].set_color(\"lightgrey\")\n", "ax.set_xlabel(\"y\")\n", "ax.set_ylabel(r\"$\\mathbb{{P}}(Y \\leq y)$\")\n", "ax.set_title(f\"eCDF with {100 * confidence:.0f}% Confidence DKW and KS Bands\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "e8e00051", "metadata": {}, "source": [ "The DKW and KS bands have uniform width around the eCDF, which makes them convenient but often too wide. In particular, they're violated much more in the middle than on the end points (the area of most interest to us). Tighter bands can be obtained by balancing the violations across all the order statistics [(Learned-Miller and DeStefano, 2005)](http://vis-www.cs.umass.edu/papers/IT_ent_bound.pdf). Since\n", "\n", "$$F(Y) \\sim U[0, 1]$$\n", "\n", "we have:\n", "\n", "$$F\\left(Y_{(i)}\\right) \\sim \\text{Beta}(i, n - i + 1)$$\n", "\n", "Thus, we can create pointwise intervals by:\n", "\n", "$$\\left[F_{\\text{Beta}(i, n-i+1)}^{-1}\\left(\\frac{1 - \\delta}{2}\\right), F_{\\text{Beta}(i, n-i+1)}^{-1}\\left(\\frac{1 + \\delta}{2}\\right)\\right]$$\n", "\n", "Where $F_{\\text{Beta}(i, n-i+1)}^{-1}$ is the Beta's inverse cumulative distribution function and $\\delta$ is the coverage. $\\delta$ can then be expanded until the overall coverage for the bands is $1 - \\alpha$." ] }, { "cell_type": "code", "execution_count": 5, "id": "bd588de4", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Construct the CDF confidence bands.\n", "ld_lower_cdf, _, ld_upper_cdf = EmpiricalDistribution.confidence_bands(\n", " s.ys, confidence=confidence, method=\"ld_equal_tailed\", a=s.y_min, b=s.y_max,\n", ")\n", "\n", "# Plot the CDF confidence bands.\n", "fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(6, 5))\n", "\n", "ax.plot(grid, point_cdf.cdf(grid), c=\"k\", linestyle=\"-\", label=\"eCDF\")\n", "ax.plot(grid, ld_lower_cdf.cdf(grid), c=\"tab:blue\", linestyle=\":\", label=\"LD\")\n", "ax.plot(grid, ld_upper_cdf.cdf(grid), c=\"tab:blue\", linestyle=\":\")\n", "\n", "for i in range(1, 21):\n", " ax.plot(grid, EmpiricalDistribution(s.yss[i, :]).cdf(grid), c=\"grey\", linewidth=0.5)\n", "\n", "# Format the plot.\n", "ax.legend()\n", "ax.spines[\"right\"].set_color(\"lightgrey\")\n", "ax.spines[\"top\"].set_color(\"lightgrey\")\n", "ax.set_xlabel(\"y\")\n", "ax.set_ylabel(r\"$\\mathbb{{P}}(Y \\leq y)$\")\n", "ax.set_title(f\"eCDF with {100 * confidence:.0f}% Confidence LD Bands\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "9e75d0e1", "metadata": {}, "source": [ "Comparing the KS and LD bands, the LD bands are much tighter towards the ends and a bit looser in the middle. This trade off works well for us, since we're interested in the tail of the CDF:" ] }, { "cell_type": "code", "execution_count": 6, "id": "fc136748", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the CDF confidence band comparison.\n", "fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(6, 5))\n", "\n", "ax.plot(grid, point_cdf.cdf(grid), c=\"k\", linestyle=\"-\", label=\"eCDF\")\n", "ax.plot(grid, ks_lower_cdf.cdf(grid), c=\"tab:orange\", linestyle=\"--\", label=\"KS\")\n", "ax.plot(grid, ks_upper_cdf.cdf(grid), c=\"tab:orange\", linestyle=\"--\")\n", "ax.plot(grid, ld_lower_cdf.cdf(grid), c=\"tab:blue\", linestyle=\":\", label=\"LD\")\n", "ax.plot(grid, ld_upper_cdf.cdf(grid), c=\"tab:blue\", linestyle=\":\")\n", "\n", "# Format the plot.\n", "ax.legend()\n", "ax.spines[\"right\"].set_color(\"lightgrey\")\n", "ax.spines[\"top\"].set_color(\"lightgrey\")\n", "ax.set_xlabel(\"y\")\n", "ax.set_ylabel(r\"$\\mathbb{{P}}(Y \\leq y)$\")\n", "ax.set_title(f\"Comparison of {100 * confidence:.0f}% Confidence CDF Bands\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "d4b21f4d", "metadata": {}, "source": [ "One important detail of the LD bands is how to choose pointwise confidence intervals for the order statistics given that they're Beta distributed. The simplest method, as previously mentioned, is to take the equal-tailed interval based on the quantiles:\n", "\n", "$$\\left[F_{\\text{Beta}(i, n-i+1)}^{-1}\\left(\\frac{1 - \\delta}{2}\\right), F_{\\text{Beta}(i, n-i+1)}^{-1}\\left(\\frac{1 + \\delta}{2}\\right)\\right]$$\n", "\n", "However, these intervals are larger than necessary. The shortest intervals are obtained from the Beta distribution's *highest probability density* intervals. The two intervals are close in size; however, the HPD intervals can be noticeably shorter for the extreme order statistics:" ] }, { "cell_type": "code", "execution_count": 7, "id": "e514c6e9", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Interval Length Reduction: 12.7%\n" ] } ], "source": [ "# Construct the equal-tailed and HPD intervals.\n", "a, b = 2, 98\n", "\n", "ps = np.linspace(0, 0.075, num=1_000)\n", "beta = stats.beta(a, b)\n", "\n", "lo_equal_tailed, hi_equal_tailed = beta_equal_tailed_interval(a, b, confidence)\n", "lo_highest_density, hi_highest_density = beta_highest_density_interval(a, b, confidence)\n", "\n", "# Plot a comparison of the equal-tailed and HPD intervals.\n", "fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(6, 5))\n", "\n", "ax.plot(ps, beta.pdf(ps), c=\"k\", linestyle=\"-\", label=\"PDF\")\n", "ax.axvline(lo_equal_tailed, c=\"tab:orange\", linestyle=\"--\", label=\"equal-tailed\")\n", "ax.axvline(hi_equal_tailed, c=\"tab:orange\", linestyle=\"--\")\n", "ax.axvline(lo_highest_density, c=\"tab:blue\", linestyle=\":\", label=\"HPD\")\n", "ax.axvline(hi_highest_density, c=\"tab:blue\", linestyle=\":\")\n", "\n", "# Format the plot.\n", "ax.legend()\n", "ax.spines[\"right\"].set_color(\"lightgrey\")\n", "ax.spines[\"top\"].set_color(\"lightgrey\")\n", "ax.set_xlabel(\"p\")\n", "ax.set_ylabel(\"dp\")\n", "ax.set_title(\n", " f\"{100 * confidence:.0f}% Coverage\\n\"\n", " f\" Equal-tailed vs. HPD Intervals for Beta({a}, {b})\",\n", ")\n", "\n", "plt.show()\n", "\n", "interval_ratio = (hi_highest_density - lo_highest_density) / (hi_equal_tailed - lo_equal_tailed)\n", "\n", "print(\n", " f\"Interval Length Reduction: {100 * (1 - interval_ratio):.1f}%\",\n", ")" ] }, { "cell_type": "markdown", "id": "5c04415b", "metadata": {}, "source": [ "Comparing the CDF bands, the effect is slight but noticeable:" ] }, { "cell_type": "code", "execution_count": 8, "id": "52a4f67b", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Construct the CDF confidence bands.\n", "ld_equal_tailed_lower_cdf, _, ld_equal_tailed_upper_cdf = EmpiricalDistribution.confidence_bands(\n", " s.ys, confidence=confidence, method=\"ld_equal_tailed\", a=s.y_min, b=s.y_max,\n", ")\n", "ld_highest_density_lower_cdf, _, ld_highest_density_upper_cdf = EmpiricalDistribution.confidence_bands(\n", " s.ys, confidence=confidence, method=\"ld_highest_density\", a=s.y_min, b=s.y_max,\n", ")\n", "\n", "# Plot the CDF confidence bands.\n", "fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(6, 5))\n", "\n", "ax.plot(grid, point_cdf.cdf(grid), c=\"k\", linestyle=\"-\", label=\"eCDF\")\n", "ax.plot(grid, ld_equal_tailed_lower_cdf.cdf(grid), c=\"tab:orange\", linestyle=\"--\", label=\"equal-tailed\")\n", "ax.plot(grid, ld_equal_tailed_upper_cdf.cdf(grid), c=\"tab:orange\", linestyle=\"--\")\n", "ax.plot(grid, ld_highest_density_lower_cdf.cdf(grid), c=\"tab:blue\", linestyle=\":\", label=\"HPD\")\n", "ax.plot(grid, ld_highest_density_upper_cdf.cdf(grid), c=\"tab:blue\", linestyle=\":\")\n", "\n", "# Format the plot.\n", "ax.legend()\n", "ax.spines[\"right\"].set_color(\"lightgrey\")\n", "ax.spines[\"top\"].set_color(\"lightgrey\")\n", "ax.set_xlabel(\"y\")\n", "ax.set_ylabel(r\"$\\mathbb{{P}}(Y \\leq y)$\")\n", "ax.set_title(f\"Comparison of {100 * confidence:.0f}% Confidence LD CDF Bands\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "7d8bed63", "metadata": {}, "source": [ "It's easier to visualize the benefit as percent reduction in interval width for different values of $Y$:" ] }, { "cell_type": "code", "execution_count": 9, "id": "2f4d3651", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the percent length reduction from HPD intervals.\n", "fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(6, 5))\n", "\n", "percent_reductions = 100 * (1 - (\n", " (ld_highest_density_upper_cdf.cdf(grid) - ld_highest_density_lower_cdf.cdf(grid))\n", " / (ld_equal_tailed_upper_cdf.cdf(grid) - ld_equal_tailed_lower_cdf.cdf(grid))\n", "))\n", "ax.plot(grid, percent_reductions)\n", "\n", "# Format the plot.\n", "ax.spines[\"right\"].set_color(\"lightgrey\")\n", "ax.spines[\"top\"].set_color(\"lightgrey\")\n", "ax.set_xlabel(\"y\")\n", "ax.set_ylabel(\"% length reduction\")\n", "ax.set_title(f\"HPD vs. Equal-tailed {100 * confidence:.0f}% Confidence LD Bands\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "157f56d1", "metadata": {}, "source": [ "### Bounding the Tuning Curve" ] }, { "cell_type": "markdown", "id": "1a234529", "metadata": {}, "source": [ "Now that we have bounds for the CDF, the next step is to translate them to the tuning curve. Since the CDF bands place all probability mass on the order statistics, we can use a modification of the *$V$ Statistic* formula to convert them to expected tuning curves:\n", "\n", "$$\\hat{\\tau}_e(k) = \\sum_{i=0}^{n+1} Y_{(i)}\\left(\\hat{F}\\left(Y_{(i)}\\right)^k - \\hat{F}\\left(Y_{(i-1)}\\right)^k\\right)$$\n", "\n", "Where $\\hat{F}$ is the appropriate CDF bound or estimate, $Y_{(0)}$ and $Y_{(n+1)}$ are respectively (possibly infinite) lower and upper bounds on $Y$, and $\\hat{F}\\left(Y_{(-1)}\\right)$ is zero by convention.\n", "\n", "When the CDF band doesn't have $\\hat{F}\\left(Y_{(n)}\\right) = 1$, then the rest of the probability mass is assigned to $Y$'s upper bound. If the upper bound is infinite, then that probability mass could be distributed across arbitrarily large numbers. Thus, to meaningfully bound the expected tuning curve, we generally need a bound on $Y$'s support.\n", "\n", "Let's compare how the different CDF bands bound the expected tuning curves:" ] }, { "cell_type": "code", "execution_count": 10, "id": "62c9b6b9", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the expected tuning curve bands.\n", "fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(6, 5))\n", "\n", "ax.plot(\n", " s.ns,\n", " point_cdf.average_tuning_curve(s.ns),\n", " c=\"k\",\n", " linestyle=\"-\",\n", " label=\"eCDF\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " ks_lower_cdf.average_tuning_curve(s.ns),\n", " c=\"tab:orange\",\n", " linestyle=\"--\",\n", " label=\"KS\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " ks_upper_cdf.average_tuning_curve(s.ns),\n", " c=\"tab:orange\",\n", " linestyle=\"--\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " ld_lower_cdf.average_tuning_curve(s.ns),\n", " c=\"tab:blue\",\n", " linestyle=\":\",\n", " label=\"LD\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " ld_upper_cdf.average_tuning_curve(s.ns),\n", " c=\"tab:blue\",\n", " linestyle=\":\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " np.mean(s.yss_cummax, axis=0),\n", " c=\"tab:red\",\n", " linestyle=\"-\",\n", " label=\"Truth\",\n", ")\n", "\n", "# Format the plot.\n", "ax.legend()\n", "ax.spines[\"right\"].set_color(\"lightgrey\")\n", "ax.spines[\"top\"].set_color(\"lightgrey\")\n", "ax.set_xlabel(\"k\")\n", "ax.set_ylabel(r\"$\\hat{{\\tau}}_e(k)$\")\n", "ax.set_title(\n", " f\"{100 * confidence:.0f}% Confidence\"\n", " f\" Expected Tuning Curve Bands\",\n", ")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "ff38b01c", "metadata": {}, "source": [ "Sometimes, reasonable bounds on performance are not available. Unlike the expected tuning curve, the *median* tuning curve, $\\tau_m(k) = \\mathbb{M}[T_k]$ (where $\\mathbb{M}[X]$ denotes the median of $X$), doesn't require good bounds to create confidence bands. We can compute the median tuning curve by inverting the CDF:\n", "\n", "$$F_k(y) = 0.5 \\implies y = F_k^{-1}(0.5)$$\n", "\n", "Confidence bands still exist for *part* of the median tuning curve even when the bounds are $\\pm \\infty$. More generally, the median tuning curve is only sensitive to the bounds at its endpoints. Thus, if the upper bound is infinite, the entire expected tuning curve is ruined but only the right side of the median tuning curve is." ] }, { "cell_type": "code", "execution_count": 11, "id": "ae3c56cc", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the quantile tuning curve bands.\n", "fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(6, 5))\n", "\n", "ax.plot(\n", " s.ns,\n", " point_cdf.quantile_tuning_curve(s.ns),\n", " c=\"k\",\n", " linestyle=\"-\",\n", " label=\"eCDF\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " dkw_lower_cdf.quantile_tuning_curve(s.ns),\n", " c=\"tab:orange\",\n", " linestyle=\"--\",\n", " label=\"DKW\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " dkw_upper_cdf.quantile_tuning_curve(s.ns),\n", " c=\"tab:orange\",\n", " linestyle=\"--\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " ld_lower_cdf.quantile_tuning_curve(s.ns),\n", " c=\"tab:blue\",\n", " linestyle=\":\",\n", " label=\"LD\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " ld_upper_cdf.quantile_tuning_curve(s.ns),\n", " c=\"tab:blue\",\n", " linestyle=\":\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " np.median(s.yss_cummax, axis=0),\n", " c=\"tab:red\",\n", " linestyle=\"-\",\n", " label=\"Truth\",\n", ")\n", "\n", "# Format the plot.\n", "ax.spines[\"right\"].set_color(\"lightgrey\")\n", "ax.spines[\"top\"].set_color(\"lightgrey\")\n", "ax.legend(loc=\"upper right\")\n", "ax.set_xlabel(\"k\")\n", "ax.set_ylabel(r\"$\\hat{{\\tau}}_m(k)$\")\n", "ax.set_title(\n", " f\"{100 * confidence:.0f}% Confidence\"\n", " f\" Median Tuning Curve Bands\",\n", ")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "b7c342d7", "metadata": {}, "source": [ "We compare the expected and median tuning curves below:" ] }, { "cell_type": "code", "execution_count": 12, "id": "04836035", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot a comparison of the expected and quantile tuning curves.\n", "fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(6, 5))\n", "\n", "ax.plot(\n", " s.ns,\n", " point_cdf.average_tuning_curve(s.ns),\n", " c=\"tab:orange\",\n", " linestyle=\"--\",\n", " label=\"eCDF (expected)\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " point_cdf.quantile_tuning_curve(s.ns),\n", " c=\"tab:blue\",\n", " linestyle=\"--\",\n", " label=\"eCDF (median)\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " ld_lower_cdf.average_tuning_curve(s.ns),\n", " c=\"tab:orange\",\n", " linestyle=\":\",\n", " label=\"LD (expected)\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " ld_upper_cdf.average_tuning_curve(s.ns),\n", " c=\"tab:orange\",\n", " linestyle=\":\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " ld_lower_cdf.quantile_tuning_curve(s.ns),\n", " c=\"tab:blue\",\n", " linestyle=\":\",\n", " label=\"LD (median)\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " ld_upper_cdf.quantile_tuning_curve(s.ns),\n", " c=\"tab:blue\",\n", " linestyle=\":\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " np.mean(s.yss_cummax, axis=0),\n", " c=\"tab:orange\",\n", " linestyle=\"-\",\n", " label=\"Truth (mean)\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " np.median(s.yss_cummax, axis=0),\n", " c=\"tab:blue\",\n", " linestyle=\"-\",\n", " label=\"Truth (median)\",\n", ")\n", "\n", "# Format the plot.\n", "ax.spines[\"right\"].set_color(\"lightgrey\")\n", "ax.spines[\"top\"].set_color(\"lightgrey\")\n", "ax.legend(loc=\"lower right\")\n", "ax.set_xlabel(\"k\")\n", "ax.set_ylabel(r\"$\\hat{{\\tau}}(k)$\")\n", "ax.set_title(\"Expected vs. Median Tuning Curves\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "78ce5092", "metadata": {}, "source": [ "If we use looser bounds on $Y$ ($\\pm \\infty$), then the median curves still exist while the expected ones are vacuous:" ] }, { "cell_type": "code", "execution_count": 13, "id": "1ca21e47", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Construct the equal-tailed CDF bands.\n", "ld_lower_cdf, point_cdf, ld_upper_cdf = EmpiricalDistribution.confidence_bands(\n", " s.ys, confidence=confidence, method=\"ld_equal_tailed\", a=-np.inf, b=np.inf,\n", ")\n", "\n", "# Plot a comparison of the expected and quantile tuning curves.\n", "fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(6, 5))\n", "\n", "ax.plot(\n", " s.ns,\n", " point_cdf.average_tuning_curve(s.ns),\n", " c=\"tab:orange\",\n", " linestyle=\"--\",\n", " label=\"eCDF (expected)\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " point_cdf.quantile_tuning_curve(s.ns),\n", " c=\"tab:blue\",\n", " linestyle=\"--\",\n", " label=\"eCDF (median)\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " ld_lower_cdf.average_tuning_curve(s.ns),\n", " c=\"tab:orange\",\n", " linestyle=\":\",\n", " label=\"LD (expected)\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " ld_upper_cdf.average_tuning_curve(s.ns),\n", " c=\"tab:orange\",\n", " linestyle=\":\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " ld_lower_cdf.quantile_tuning_curve(s.ns),\n", " c=\"tab:blue\",\n", " linestyle=\":\",\n", " label=\"LD (median)\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " ld_upper_cdf.quantile_tuning_curve(s.ns),\n", " c=\"tab:blue\",\n", " linestyle=\":\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " np.mean(s.yss_cummax, axis=0),\n", " c=\"tab:orange\",\n", " linestyle=\"-\",\n", " label=\"Truth (mean)\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " np.median(s.yss_cummax, axis=0),\n", " c=\"tab:blue\",\n", " linestyle=\"-\",\n", " label=\"Truth (median)\",\n", ")\n", "\n", "# Format the plot.\n", "ax.spines[\"right\"].set_color(\"lightgrey\")\n", "ax.spines[\"top\"].set_color(\"lightgrey\")\n", "ax.legend(loc=\"lower right\")\n", "ax.set_xlabel(\"k\")\n", "ax.set_ylabel(r\"$\\hat{{\\tau}}(k)$\")\n", "ax.set_title(\"Expected vs. Median Tuning Curves\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "fd221144", "metadata": {}, "source": [ "Now that we know how to translate CDF bounds to tuning curves, let's see how much of an impact the HPD interval makes over the equal-tailed interval for the LD bands:" ] }, { "cell_type": "code", "execution_count": 14, "id": "0e4e87ed", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot a comparison of the equal-tailed and HPD tuning curve bands.\n", "fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(6, 5))\n", "\n", "ax.plot(\n", " s.ns,\n", " point_cdf.average_tuning_curve(s.ns),\n", " c=\"k\",\n", " linestyle=\"-\",\n", " label=\"eCDF\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " ld_equal_tailed_lower_cdf.average_tuning_curve(s.ns),\n", " c=\"tab:orange\",\n", " linestyle=\"--\",\n", " label=\"Equal-tailed\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " ld_equal_tailed_upper_cdf.average_tuning_curve(s.ns),\n", " c=\"tab:orange\",\n", " linestyle=\"--\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " ld_highest_density_lower_cdf.average_tuning_curve(s.ns),\n", " c=\"tab:blue\",\n", " linestyle=\":\",\n", " label=\"HPD\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " ld_highest_density_upper_cdf.average_tuning_curve(s.ns),\n", " c=\"tab:blue\",\n", " linestyle=\":\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " np.mean(s.yss_cummax, axis=0),\n", " c=\"tab:red\",\n", " linestyle=\"-\",\n", " label=\"Truth\",\n", ")\n", "\n", "# Format the plot.\n", "ax.spines[\"right\"].set_color(\"lightgrey\")\n", "ax.spines[\"top\"].set_color(\"lightgrey\")\n", "ax.legend()\n", "ax.set_xlabel(\"k\")\n", "ax.set_ylabel(r\"$\\hat{{\\tau}}_e(k)$\")\n", "ax.set_title(\n", " f\"HPD vs. Equal-tailed {100 * confidence:.0f}% Confidence\\n\"\n", " f\" Expected Tuning Curve Bands\",\n", ")\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 15, "id": "b2040f7b", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot a comparison of the equal-tailed and HPD tuning curve bands.\n", "fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(6, 5))\n", "\n", "ax.plot(\n", " s.ns,\n", " point_cdf.quantile_tuning_curve(s.ns),\n", " c=\"k\",\n", " linestyle=\"-\",\n", " label=\"eCDF\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " ld_equal_tailed_lower_cdf.quantile_tuning_curve(s.ns),\n", " c=\"tab:orange\",\n", " linestyle=\"--\",\n", " label=\"Equal-tailed\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " ld_equal_tailed_upper_cdf.quantile_tuning_curve(s.ns),\n", " c=\"tab:orange\",\n", " linestyle=\"--\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " ld_highest_density_lower_cdf.quantile_tuning_curve(s.ns),\n", " c=\"tab:blue\",\n", " linestyle=\":\",\n", " label=\"HPD\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " ld_highest_density_upper_cdf.quantile_tuning_curve(s.ns),\n", " c=\"tab:blue\",\n", " linestyle=\":\",\n", ")\n", "ax.plot(\n", " s.ns,\n", " np.median(s.yss_cummax, axis=0),\n", " c=\"tab:red\",\n", " linestyle=\"-\",\n", " label=\"Truth\",\n", ")\n", "\n", "# Format the plot.\n", "ax.spines[\"right\"].set_color(\"lightgrey\")\n", "ax.spines[\"top\"].set_color(\"lightgrey\")\n", "ax.legend()\n", "ax.set_xlabel(\"k\")\n", "ax.set_ylabel(r\"$\\hat{{\\tau}}_m(k)$\")\n", "ax.set_title(\n", " f\"HPD vs. Equal-tailed {100 * confidence:.0f}% Confidence\\n\"\n", " f\" Median Tuning Curve Bands\",\n", ")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "c4fb37f1", "metadata": {}, "source": [ "The effect is slight, but the HPD intervals tighten the upper bound and loosen the lower one. Since the lower band is generally much tighter, we'll take this tradeoff." ] } ], "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 }