{ "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." ] }, { "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 opda.nonparametric import EmpiricalDistribution\n", "from experiments.simulation import make_damped_linear_sin, Simulation\n", "from opda.utils import beta_highest_density_interval, beta_equal_tailed_interval\n", "\n", "\n", "# constants\n", "\n", "confidence = 0.80\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": "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", ")\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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", 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" ] }, "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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", 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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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", "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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", 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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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", "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 }