{ "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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", 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" ] }, "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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", 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" ] }, "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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", 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" ] }, "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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", 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" ] }, "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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", 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" ] }, "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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", 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" ] }, "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": "3.8.18" } }, "nbformat": 4, "nbformat_minor": 5 }