{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Waldo Critical Values Construction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## INTRO & SETTINGS" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The goal of this tutorial is to show the capabilities of `lf2i` and `Waldo` with a simple example: inferring the mean $\\theta \\in \\mathbb{R}^{2}$ of a Gaussian model with fixed covariance, and a Gaussian prior distribution\n", "\n", "$$\\boldsymbol{\\theta} \\sim \\mathcal{N}(\\mathbb{0}, 0.1 \\cdot \\mathbb{I}), \\\\ \\text{ } \\mathbf{X}|\\boldsymbol{\\theta} \\sim \\mathcal{N}(\\boldsymbol{\\theta}, 0.01 \\cdot \\mathbb{I})$$\n", "\n", "In addition, we assume that we only observe one sample for each true $\\boldsymbol{\\theta}$, i.e., $n=1$. \\\n", "For this tutorial, we leverage a posterior estimator (`SNPE` from the `sbi` library) as the main underlying inferential model." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# SETTINGS\n", "\n", "LIKELIHOOD_COV = 0.01\n", "PRIOR_LOC = 0\n", "PRIOR_COV = 0.1\n", "\n", "PARAM_DIM = 2\n", "DATA_DIM = 2\n", "BATCH_SIZE = 1 # assume we get to see only one observed sample for each “true” parameter\n", "PARAM_SPACE_BOUNDS = {'low': -1.5, 'high': 1.5} # a grid of points over [low, high]^(param_dim) is used to construct confidence sets\n", "\n", "CONFIDENCE_LEVEL = 0.90" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## SIMULATE" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's start from the simulator, which is used internally to generate the data needed to \n", "1. estimate the test statistics;\n", "2. estimate the critical values; and \n", "3. diagnose the constructed confidence regions " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from lf2i.simulator.gaussian import GaussianMean" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "simulator = GaussianMean(\n", " likelihood_cov=LIKELIHOOD_COV,\n", " prior='gaussian',\n", " poi_space_bounds=PARAM_SPACE_BOUNDS,\n", " poi_grid_size=10_000,\n", " poi_dim=PARAM_DIM, \n", " data_dim=DATA_DIM,\n", " batch_size=BATCH_SIZE,\n", " prior_kwargs={'loc': PRIOR_LOC, 'cov': PRIOR_COV}\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Observations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For simplicity, let's use the simulator to generate two “observed” samples from the true likelihood: one consistent with the prior ($\\boldsymbol{\\theta}^{\\star} = [0, 0]$) and one not ($\\boldsymbol{\\theta}^{\\star} = [-1.45, 1.45]$)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "import torch\n", "\n", "true_param_consistent, true_param_notconsistent = torch.Tensor([0, 0]), torch.Tensor([-1.45, 1.45])\n", "observed_x_consistent = simulator.likelihood(true_param_consistent).sample(sample_shape=(BATCH_SIZE, ))\n", "observed_x_notconsistent = simulator.likelihood(true_param_notconsistent).sample(sample_shape=(BATCH_SIZE, ))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## CONFIDENCE SET by leveraging a POSTERIOR ESTIMATOR" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Assume we want to do inference on the Gaussian mean by estimating its posterior distribution. `Waldo` allows to leverage a neural posterior estimator like `SNPE` to obtain a confidence region for the parameter of interest that is guaranteed to have the desired level of coverage regardless of \n", "1. the consistency of the prior distribution with the data;\n", "2. the true value of the parameter;\n", "3. the size of the observed sample\n", "\n", "The posterior estimator can be already trained or not. The example below assumes the estimator has *not* been trained yet, only instantiated up front.\n", "\n", "**Note**: We require that posterior-based methods receive estimators whose interface matches one of `AbstractNeuralPosterior` or `AbstractNeuralPosteriorTrainer` from the `lf2i.estimators.base_posteriors` module." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/ocean/projects/mth260009p/jcarzon/conda/envs/tsi/lib/python3.11/site-packages/tqdm/auto.py:21: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n", " from .autonotebook import tqdm as notebook_tqdm\n" ] } ], "source": [ "from lf2i.inference import LF2I\n", "from lf2i.test_statistics import Waldo\n", "from lf2i.utils.other_methods import hpd_region\n", "from lf2i.plot.parameter_regions import plot_parameter_regions\n", "\n", "from sbi.inference import SNPE" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "lf2i = LF2I(\n", " test_statistic=Waldo(\n", " estimator=SNPE(),\n", " estimation_method='posterior',\n", " poi_dim=PARAM_DIM,\n", " num_posterior_samples=20_000 # used to approximate conditional mean and variance of the Waldo test statistic\n", " )\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that for this example we are using the simulator to obtain training datasets. If one has pre-simulated datasets, they can be given as inputs directly to the `inference` method." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "confidence_region = lf2i.inference(\n", " x=torch.vstack((observed_x_consistent, observed_x_notconsistent)), \n", " evaluation_grid=simulator.poi_grid,\n", " confidence_level=CONFIDENCE_LEVEL,\n", " calibration_method='critical-values',\n", " calibration_model='nn',\n", " simulator=simulator,\n", " b=20_000, b_prime=10_000\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Observation consistent with the prior" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Waldo Confidence Region" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/jet/home/jcarzon/probabilistic-regression/submodule/lf2i/src/lf2i/plot/parameter_regions.py:426: UserWarning: Contour might be unreliable if alpha is not chosen properly. Please plot scatter as well, and choose alpha appropriately (try from 1 to 20).\n", " warnings.warn(\"Contour might be unreliable if alpha is not chosen properly. Please plot scatter as well, and choose alpha appropriately (try from 1 to 20).\")\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# The red star in the plot is the true parameter\n", "\n", "plot_parameter_regions(\n", " confidence_region[0],\n", " param_dim=PARAM_DIM,\n", " true_parameter=true_param_consistent,\n", " param_names=['theta0', 'theta1'],\n", " parameter_space_bounds={'theta0': simulator.poi_space_bounds, 'theta1': simulator.poi_space_bounds},\n", " alpha_shape=True, # contour,\n", " alpha=2, # hyperparameter for contour (the lower, the more it converges to a convex hull)\n", " scatter=False, # don't plot evaluation points\n", " figsize=(7.5, 7.5),\n", " colors=['mediumseagreen'],\n", " region_names=['LF2I confidence set']\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Posterior Credible Region" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/jet/home/jcarzon/probabilistic-regression/submodule/lf2i/src/lf2i/plot/parameter_regions.py:426: UserWarning: Contour might be unreliable if alpha is not chosen properly. Please plot scatter as well, and choose alpha appropriately (try from 1 to 20).\n", " warnings.warn(\"Contour might be unreliable if alpha is not chosen properly. Please plot scatter as well, and choose alpha appropriately (try from 1 to 20).\")\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_parameter_regions(\n", " hpd_region(\n", " posterior=lf2i.test_statistic.estimator,\n", " param_grid=simulator.poi_grid,\n", " x=observed_x_consistent,\n", " credible_level=CONFIDENCE_LEVEL\n", " )[1],\n", " param_dim=PARAM_DIM,\n", " true_parameter=true_param_consistent,\n", " param_names=['theta0', 'theta1'],\n", " parameter_space_bounds={'theta0': simulator.poi_space_bounds, 'theta1': simulator.poi_space_bounds},\n", " alpha_shape=True, # contour,\n", " alpha=2, # hyperparameter for contour (the lower, the more it converges to a convex hull)\n", " scatter=False, # don't plot evaluation points\n", " figsize=(7.5, 7.5),\n", " colors=['blue'],\n", " region_names=['Posterior credible set']\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Observation *not* consistent with the prior" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Waldo Confidence Region" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/jet/home/jcarzon/probabilistic-regression/submodule/lf2i/src/lf2i/plot/parameter_regions.py:426: UserWarning: Contour might be unreliable if alpha is not chosen properly. Please plot scatter as well, and choose alpha appropriately (try from 1 to 20).\n", " warnings.warn(\"Contour might be unreliable if alpha is not chosen properly. Please plot scatter as well, and choose alpha appropriately (try from 1 to 20).\")\n" ] }, { "data": { "image/png": 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o5AjXQANgb87rb08zNAQAAEchXAMNgL1wfTozUUdSTjqwGgAAGi/CNdAAtPAKVHu/lja3f8vQEAAAHIJwDTQQ9haU2cyCMgAAOAThGmgg7A4NyUrU4ZQ4B1YDAEDjRLgGGohmXgHq6N/K5naGhgAAUPsI10ADYu/qdRRDQwAAqHWEa6AB6d3M9oIyZ7OSdDA51oHVAADQ+BCugQakaGhIa5vbo07vcVwxAAA0QoRroIGxOzQk/lcVGoUOrAYAgMaFcA00MH2a2x4aci47maEhAADUIsI10MA09fTXZXaGhmw9s9+B1QAA0LgQroEGqLedq9fp+dkOrAQAgMaFcA00QAHuPs4uAQCARolwDQAAAJiEcA0AAACYhHANAAAAmIRwDQAAAJiEcA0AAACYhHANAAAAmIRwDQAAAJiEcA0AAACYhHANAAAAmIRwDQAAAJiEcA0AAACYhHANAAAAmIRwDQAAAJiEcA0AAACYhHANAAAAmIRwDQAAAJiEcA0AAACYhHANAAAAmIRwDQAAAJiEcA0AAACYhHANAAAAmIRwDQAAAJiEcA0AAACYhHANAAAAmIRwDQAAAJiEcA0AAACYhHANAAAAmIRwDQAAAJiEcA0AAACYhHANAAAAmIRwDQAAAJiEcA0AAACYhHANAAAAmIRwDQAAAJiEcA0AAACYhHANAAAAmIRwDQAAAJiEcA0AAACYhHANAAAAmIRwDQAAAJiEcA0AAACYhHANAAAAmIRw3YAZzi4AAACgkSFcN2CpeZn6PHaHs8uAE2QV5Dq7BAAAGiXCdQO3Lna71sdud3YZcKBCo1Dfxu9xdhkAADRKhOtGYH3sDq07sU2GwUCRxuCnhKM6nZVoc3sHv5YOrAYAgMaFcN1IfB63U+titxOwG7hCo1Cfx+60ub2ZZ4BubNfPgRUBANC4EK4bkS/iduqj6M3KK8x3dimoJT+dP6ozdq5aT+w0XJ6u7g6sCACAxoVw3ch8e3qPntq9QsdS451dCkxWaBTq8zjbN7C28ArUTVy1BgCgVhGuGyBXi/1f65msRP1n78f65Pj3yi3gKnZDsfP8EZ3JSrK5navWAADUPsJ1A/T/rhhfYcA2JG089bOe2v2Bfks55ZjCUGsKjEJ9YWfaxUu8mujGYK5aAwBQ2wjXDdCQ1ldobs+JFQZsSTqbnazn932ildGblVOQ54DqUBt2njuss9nJNrdP7DRcHq5ujisIAIBGinDdQA1r8yfN6/V/crO4VtjWkBQRv1vzdn+goykna784mKrAKNQXcbZnCLnEq4luCP6zAysCAKDxavDhOi0tTfPmzVNYWJj8/PwUGBiovn376sUXX1RubtVXsYuJiZHFYqn04+677y7Tx1133VWpffPzazYeemjrK7Vw8Gx1Dby0Uu3PZ6fo+X2r9OGxKGWzwl+9sePcIZ2zc9X6/zqP4Ko1AAAO0qC/cU+cOKGhQ4cqJiZGkuTj46OcnBzt2rVLu3bt0ooVKxQZGamgoKBK9+nq6qqWLe0vwpGdna2UlBRJUt++fW228/LyUmBgoM3tFoul0nXZcllAG7098CGtjN6sxUe/UV5hQYX7fHt6j/YmRuuuztepW5PgGteA2nM4OU4rjn1rc3tL7yDdEHyVAysCAKBxa7BXrvPz83XTTTcpJiZGrVu31qZNm5SRkaHMzEytXLlS/v7+2r17tyZOnFilfoODg3XmzBm7j//7v/+TJHl7e+v222+32df48ePt9uPqWvGQjspwc3HVxE7DtWjwHHVv0q5S+yTkpGr+/tVa/nuksvO5il0XHUqO1WsHP1OunXnL7+w0Qu4uDfq/oQEAqFMabLheunSp9u3bJ0las2aNRowYIUlycXHR+PHj9c4770iSvvrqK0VGRpp23OzsbK1YsUKSNG7cODVp0sS0vmuqg38rvTlghu7vfqM8Khm4Np/Zq7m7P9DB5BO1XB2q4lByrF4/uM5usG7lHaTRwbb/cgIAAMzXoMO1JA0bNkz9+/cvs33ChAnq0KGDJGnZsmWmHffTTz9VUlLRXMNTpkwxrV+zuLm46vbLrtHiq+coNKh9pfa5kJOql/Z/qmW/bVJWfk7tFogKHUw+UeEVa0m6s/O1XLUGAMDBGmS4zszM1A8//CBJGj16dLltLBaLRo0aJUnauHGjacdetGiRJKlz584aMmSIaf2aLcSvpRYMeFDTe4yp9FXs78/u19zdH2jPhWMyDKOWK0R5DiSd0OsH11U4dv764KsYaw0AgBM0yHB96NAhFRYWSpJCQ0NttivedubMGSUmJtb4uNHR0YqKipIk3XPPPRW2j4yMVJcuXeTl5aWAgACFhYVp1qxZ+u2332pcS2W4Wlw0oeNQvX/1w7qiaYdK7ZOYk6YFh9brmV8/0q+J0YRsB9qfFKMFhyoO1jcE/1n/74pb5VKJec4BAIC5GuS3b3x8vPV527ZtbbYrua3kPtW1ePFiGYYhNzc3TZo0qcL2J0+eVHR0tHx8fJSZman9+/fr1VdfVWhoqN56660a11NZ7fwu0ev9p+uhy8fK06Vyy2PHpJ/V6wfX6elfP+RKtgPsT4rRgoPrKwzWNwb/WX+/4q8EawAAnKRBfgOnpaVZn/v4+NhsV3JbyX2qo6CgQEuWLJEk3XDDDWrVqpXNtr169dKCBQsUExOjnJwcJSYmKjU1VWvWrNFll12m3NxcPfDAA1qzZo3dY+bk5Cg1NbXUo7pcLC76S4ertWTIw7qyacdK73ci/ZwWHFqvf+/5ULsJ2bViX+JxLTi4XvmG/WA9pl0/PUKwBgDAqfgWNsk333yjU6dOSar4RsaZM2dq+vTpCgkJsU635+Pjo/DwcO3cudN6o+WcOXPshtXnnntOgYGB1kdwcM3npL7Ut4Ve6/+AZl1+i7xdPSq9X2zGOb1xaL3+tWeFdl/4nZBtkr2Jx/XGoc8rDNY3hwzQnLC/EKwBAHCyBvlN7O/vb32emZlps13JbSX3qY6FCxdKKhpqYusmyspo1qyZHnvsMUlFi+Ds3r3bZttHH31UKSkp1kdcXFy1j1uSi8VF4zoM1pKrH1GvZp2qtG9cxnm9cehz/WvPCv2c8JsKCdnV9mtitN6sRLAeGzJAfwsNJ1gDAFAHNMhv4zZt2lifF19NLk/JbSX3qaqzZ8/qiy++kFS0tHlNF38pOXVgdHS0zXaenp4KCAgo9TBTG99mernffZoT9hcFuNseXlOeuIzzeuvwF5q3e5m+ivtRZ7OSTa2todtz4VilgvUtIQP1t9BxBGsAAOqIBjkJbvfu3eXi4qLCwkLt37/f5pXk/fv3S5JatWqlpk2bVvt4y5YtU35+viwWiyZPnlztfuoiF4uLxoYM0HVte2lNzFZ9fOw7peRlVHr/+MxEfXriB3164gcF+7ZQn+Zd1Lt5Z7XyrvyS843NngvH9NbhL1RgFNptN679ID10+S2yWCwOqgwAAFSkQV7u8vHx0cCBAyUVjYUuj2EY2rBhgyTpuuuuq9Hxiue2HjZsmDp2rPzNgLbs2LHD+rx4/LWz+bh56f86jdAnw/+pe7vdoEB33yr3EZdxXmtP/KDHf16ieb98oC9id+pMZs2nQGxIdl/4vVLB+i/tBxOsAQCogxpkuJZknQovKipKO3fuLLN91apV1iEXd955Z7WPs3XrVh05ckRS5VZkrOhGv8TERD377LOSpODgYPXs2bPatdUGHzcvTew0XJ8Mf1z3dbtRgR5VD9mSdDIzQZ/FbtPjvyzV3F+W6fPYHYrPvGBytfXLLwm/6+3DX1YYrP/aYbBmXj6WYA0AQB3UoMN1WFiYDMPQuHHjFBkZKUkqLCzUqlWrNHXqVElFKzgOHz681L7z5s2TxWKRxWJRTEyM3eMU38jYtGlThYeHV1jX8uXLFR4erjVr1ujcuXPW17OysvTZZ5+pf//+1tD/wgsvyMWlbv6KfNw8dUena7Tqmsf1QPebFOThV+2+TmVe0LrY7Xryl2V68pdlWh+7vdEF7Z8TftM7RyoO1rd2GKIZPQjWAADUVQ1yzLUkubm5af369Ro2bJhiYmI0YsQI+fj4qLCwUNnZ2ZKknj17asWKFdU+RmpqqlatWiVJmjhxojw9PSvcp6CgQGvXrtXatWslSb6+vvLy8lJycrIKCopuXvP09NRLL72k8ePHV7s2R/F289Rtlw3T2JABWndiuz489q2SctOr3V985gWtj72g9bE71Nq7qfo076w+zbuojU+zBhsodyUc1buHv1Kh7P9VY0LHoXqg+00N9t8BAICGoMGGa0lq37699u7dq/nz5+vTTz/V8ePH5e7urssvv1y33XabZsyYIQ+Pys/lfLGVK1dap/OrzJAQqWhc9jPPPKPt27fr0KFDunDhglJSUhQQEKBOnTrpmmuu0b333ltnxlpXlrebpyZcNlRj2xeF7M9ObNPJjPM16vN0VqI+j9upz+N2qtX/gnbv5p11qU/zBhEws/NzFXF6t9af2E6wBgCggbAYrPbRYKSmpiowMNAa1p3JMAwdS4tXVPyvijr9q+JqGLRLaukdVHRFu1kXXepb/4J2Vn6OIk/v0aZTvygjP7vC9rdfNkz3dbux3r1PAACcyVm5iHDdgNSlcF2SYRiKTjutqNO/avPpX3Ui/VzFO1VSS68m6v2/oSPBvi3qdADNzM/Rt/F7tDH+Z2Xm51Rqnzsuu0b3druhTr8vAADqIsI1aqyuhuuSDMPQ8bQz2ny66Ip2TPpZ0/pu4RVonUc7xPeSOhNIM/NzFBm/W5tO/aLMgsqFakma2Gm4pnW9vs68DwAA6hPCNWqsPoTri5UM2sfTzpjWbwuvQPVuVjRGu71fS6cE1Mz8bEXE71bEqd1VCtWSdGenEZrSdTTBGgCAaiJco8bqY7guKSbtrDVoR6edNq3f5p4B6tmskwI8qraEe02k5WVpy5n9yqpiqJakSZ2v1T1dRhGsAQCoAcI1aqy+h+uSYtPPWcdo/54a7+xyHKJr4KW6u8tIDbikB8EaAIAaIlyjxhpSuC4pNv2cNp/eq82nf9VvqaecXY7pugcG664uI9X/ku6EagAATEK4Ro011HBd0smM89p8eq+iTv+qoyknnV1OjfRo0k53dxmpP7foRqgGAMBkhGvUWGMI1yWdykiwjtE+Uo+C9uVNQnR3l5G6qkVXQjUAALWEcI0aa2zhuqT4zAvafPpXbY7/VYdS4pxdTrlCg9rr7i4j1bd5F0I1AAC1jHCNGmvM4bqk05mJ1ivah5JjnV2OwoI6aHKXkerdvDOhGgAAByFco8YI12WdyUzUD2cPKL0Sy4zXhsuDQtS7GaEaAABHc1YucnPYkQAnaOXTVOM6DHZ2GQAAoJFwcXYBAAAAQENBuAYAAABMQrgGAAAATEK4BgAAAExCuAYAAABMQrgGAAAATEK4BgAAAExCuAYAAABMQrgGAAAATEK4BgAAAExCuAYAAABMQrgGAAAATEK4BgAAAExCuAYAAABMQrgGAAAATEK4BgAAAExCuAYAAABMQrgGAAAATEK4BgAAAExCuAYAAABMQrgGAAAATEK4BgAAAExCuAYAAABMQrgGAAAATEK4BgAAAExCuAYAAABMQrgGAAAATEK4BgAAAExCuAYAAABMQrgGAAAATEK4BgAAAExCuAYAAABMQrgGAAAATEK4BgAAAExCuAYAAABMQrgGAAAATEK4BgAAAExCuAYAAABMQrgGAAAATEK4BgAAAExCuAYAAABMQrgGAAAATEK4BgAAAExCuAYAAABMQrgGAAAATEK4BgAAAExCuAYAAABMQrgGAAAATEK4BgAAAExCuAYAAABMQrgGAAAATEK4BgAAAExCuAYAAABMQrgGAAAATEK4BgAAAExCuAYAAABMQrgGAAAATEK4BgAAAExCuAYAAABMQrgGAAAATEK4BgAAAExCuAYAAABMQrgGAAAATEK4BgAAAExCuAYAAABMQrgGAAAATEK4BgAAAExCuAYAAABMQrgGAAAATEK4BgAAAExCuAYAAABMQrgGAAAATEK4BgAAAExCuAYAAABMQrgGAAAATEK4BgAAAExCuAYAAABMQrgGAAAATEK4BgAAAExCuAYAAABMQrgGAAAATEK4BgAAAExCuAYAAABMQrgGAAAATEK4BgAAAExCuAYAAABMQrgGAAAATGJ6uD516pSee+459evXTy1btpSPj4+6deumKVOmaO/evWYfDgAAAKgzLIZhGGZ0VFhYqJdfflmPP/64srOzy23j6uqqt99+W1OmTDHjkLhIamqqAgMDlZKSooCAAGeXAwAA4DTOykVuZnSSl5en8ePHa+3atdbXWrRooa5duyopKUkHDx6UYRgqKCjQ1KlT1b59e40YMcKMQwMAAAB1Ro2HhRiGodtvv90arJs2baoPP/xQp0+f1pYtW7R//379+OOPat26tXWfBx98UIWFhTU9NAAAAFCn1Dhcv/baa1q9erUk6ZJLLtGPP/6o2267Ta6urtY2ffr00Ycffmj9+ciRI9q2bVtNDw0AAADUKTUK10eOHNE//vEPSZLFYtHq1at12WWXldt26NCh6tWrl/Xn9evX1+TQAAAAQJ1To3D95JNPWm9evPPOOzV48GC77fv162d9fujQoZocGgAAAKhzqh2uDx48aB0OYrFY9Oijj1a4T8uWLa3PT5w4Ud1DAwAAAHVStcP1ggULrDclDh8+XF27dq1wHze3PyYnyczMrO6hAQAAgDqpWuE6Pz9fq1atsv48ceLESu9XzNPTszqHBgAAAOqsaoXriIgIJSQkSCpaGGbMmDGV2i8lJcX63MfHpzqHBgAAAOqsaofrYv369VNQUFCl9ktMTLQ+b9euXXUODQAAANRZ1VqhccuWLdbnP/zwgywWS5X76Ny5c3UODQAAANRZVb5ynZWVpV9++aXGByZcAwAAoKGp8pXrI0eOlLox8brrrqvUlevk5GTt3LnT+vNVV11V1UMDAAAAdVqVw/Vvv/1mfR4YGKgNGzZUar+FCxdaw3VQUJBCQ0NLbU9LS9PmzZu1a9cu6+PcuXOSpKioKA0dOrSqpQIAAAAOVeVwfezYMevz4ODgSu8XGRlpfT5w4MAyV7sjIyN1yy23VLUcAAAAoM6ocrhOSkqyPi+54qI9eXl52rhxo/Xn8PDwctu1aNFCvXv3Vp8+fdSjRw/dfvvtVS0PAAAAcJoqh+ucnBzrc19f30rtExERYZ2Gz8vLq9xwfdNNN1mHgUhSenp6VUsDAAAAnKrKs4UUL3kuqdJT8C1evNj6fOzYsQoMDCzTxtXVtaqlAAAAAHVKlcN169atrc9Lrrhoy/Hjx7V27VpJRWH8scceq+ohAQAAgHqhyuG6ffv21ucHDhyosP2cOXNUUFAgSRo3bpzCwsKqekgAAACgXqhyuL766qutw0HOnz+v77//3mbbRYsWWa9aN23aVK+++mo1ywQAAADqviqH67Zt25ZaAGbOnDnKzMws027p0qW6//77rT+/++67atOmTTXLBAAAAOq+Ks8WIknz5s3T6NGjJUm7du1Sv379NHv2bHXo0EFxcXFavnx5qan3XnnlFY0bN86cigEAAIA6qlrhetSoUZo6daree+89SdK+ffs0efLkMu28vLz08ssv67777qtZlQAAAEA9UOVhIcXeeecd/etf/1JAQECZbW5ubhozZoz27NlDsAYAAECjUa0r11LRtHpPPPGEZs2apcjISMXExMgwDLVr106DBg2q9OqNdV1aWppefPFFrVmzRsePH5erq6u6dOmiCRMmaMaMGfLw8Kh232fPntXzzz+vL774QrGxsfL29tbll1+uSZMm6Z577qn0POIAAACoGyyGYRjOLqI86enp8vf3lyRFRUVp6NChDq/hxIkTGjp0qGJiYiRJPj4+KigosK5S2bNnT0VGRiooKKjKff/8888aOXKkLly4IEny8/NTdna28vPzJUkjR47U+vXrqxTeU1NTFRgYqJSUlHL/ogAAANBYOCsXVXtYSEOXn5+vm266STExMWrdurU2bdqkjIwMZWZmauXKlfL399fu3bs1ceLEKvedkpKiG2+8URcuXFC3bt30008/KS0tTRkZGVqwYIHc3d21YcMGzZo1y/w3BgAAgFpTp8J1QkKC9VF8RVcqCqMlt5Vcgr22LF26VPv27ZMkrVmzRiNGjJAkubi4aPz48XrnnXckSV999ZUiIyOr1Pf8+fN15swZeXt766uvvlKfPn0kSR4eHpo+fbqeeuopSUXTFx49etSstwQAAIBaVqfCdYsWLayPkitBjh07ttS22NjYWq9l6dKlkqRhw4apf//+ZbZPmDBBHTp0kCQtW7asSn0Xty/ZR0kzZsyQn5+fCgoKtGLFiqqWDgAAACepU+G6rsjMzNQPP/wgSdb5vC9msVg0atQoSSo1p3dFjhw5Yv2PA1t9+/n5afDgwVXuGwAAAM5Vp8K1YRiVepS8ql0bDh06ZB16EhoaarNd8bYzZ84oMTGxUn3v37+/zP72+j548GCl+gUAAIDzVXsqvoYsPj7e+rxt27Y225XcFh8fr6ZNm5red2pqqtLT0+Xn51emTU5OjnXmkuK2AAAAcJ46deW6rkhLS7M+9/Hxsdmu5LaS+ziq7+eee06BgYHWR3BwcKVqAAAAQO0gXNdjjz76qFJSUqyPuLg4Z5cEAADQqDEspBzFi9dIRTc32lJyW8l9qtK3rUnNK9O3p6enPD09K3VcAAAA1D6uXJejTZs21uenTp2y2a7ktpL7mNl3QEBAueOtAQAAUPcQrsvRvXt3ubgU/dOUnN3jYsXbWrVqVambGaXSM4RUpu8ePXpUql8AAAA4H+G6HD4+Pho4cKAk6Ztvvim3jWEY2rBhgyTpuuuuq3TfXbp0Ubt27ez2nZGRoS1btlS5bwAAADgX4dqGSZMmSZKioqK0c+fOMttXrVql6OhoSdKdd95Z6X4tFou1/cqVKxUTE1OmzRtvvKH09HS5urrqjjvuqEb1AAAAcAbCtQ2TJk1SWFiYDMPQuHHjFBkZKUkqLCzUqlWrNHXqVElFqywOHz681L7z5s2TxWKRxWIpNzw//PDDatWqlTIzM3XDDTfo559/liTl5ubqrbfe0hNPPCFJmjZtmrp06VKL7xIAAABmYrYQG9zc3LR+/XoNGzZMMTExGjFihHx8fFRYWKjs7GxJUs+ePbVixYoq9x0YGKgvvvhCI0eO1MGDB9WnTx/5+/srOztbeXl5koqGg7z88sumvicAAADULq5c29G+fXvt3btXTz75pEJDQ2WxWOTu7q7evXtr/vz52rFjh4KCgqrVd+/evXXgwAHNnj1bnTt3Vl5ennx9fTVo0CC99957+vrrr5lmDwAAoJ6xGIZhOLsImCM1NVWBgYFKSUmxOX82AABAY+CsXMSVawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJIRrAAAAwCSEawAAAMAkhGsAAADAJA02XOfm5uqll15S3759FRgYKD8/P4WFhWnu3LlKS0urdr8Wi6XSj2HDhpXZf968eZXa9/fff6/J2wcAAIATuDm7gNqQlJSk4cOHa/fu3ZIkT09Pubq6av/+/dq/f7+WLl2q7777TiEhIVXuu2XLlna35+XlKTExUZLUt29fm+3c3d3VtGlTm9vd3BrkrwYAAKBBa5BXru+44w7t3r1bAQEB+vjjj5WZmamMjAxt3LhRrVu31okTJ3TTTTepoKCgyn2fOXPG7uOxxx6ztr3nnnts9jNgwAC7/bRv3746bx0AAABO1ODCdWRkpL7++mtJ0jvvvKNbb71VLi5Fb/Paa6/VmjVrJEn79u3TkiVLTD/+okWLJEmDBg1S165dTe8fAAAAdVeDC9dLly6VJHXs2FHjx48vs71///4aOnSoJGnZsmWmHnvbtm06dOiQJGnKlCmm9g0AAIC6r8GF602bNkmSRo0aJYvFUm6b0aNHS5K2bt2qrKws045dfNU6MDBQf/3rX03rFwAAAPVDgwrXFy5c0JkzZyRJoaGhNtsVbyssLLReaa6p9PR0ffLJJ5Kk2267TT4+PnbbHzhwQKGhofLx8ZGfn5+6du2qqVOnWm/CBAAAQP3ToMJ1fHy89Xnbtm1ttiu5reQ+NbFy5Uqlp6dLqtyQkISEBB06dEje3t7KycnR0aNHtXDhQvXu3VuPP/54pY6Zk5Oj1NTUUg8AAAA4T4MK1yXnr7Z35bjktprMeV3SwoULJUlXXnmlevfubbNd586d9fzzz+vIkSPKzs7WhQsXlJGRoQ0bNqh3794yDEPPPPOMXnzxxQqP+dxzzykwMND6CA4ONuW9AAAAoHoaVLh2lgMHDmjnzp2SKr5qfccdd+iRRx5Rly5d5O7uLkny8PDQddddp61bt1rnxp43b55SUlLs9vXoo48qJSXF+oiLizPh3QAAAKC66lW4Dg8PV6tWrco8igOpv7+/tW1mZqbNfkpuK7lPdRVftfby8tLEiROr3Y+Xl5eeffZZSUVjuCMjI+229/T0VEBAQKkHAAAAnKdeLQOYmJios2fPlnndy8tLktSmTRvra6dOnbLZT8ltJfepjtzcXC1fvlySNG7cODVp0qRG/fXv39/6PDo6ukZ9AQAAwLHqVbjevHmz3e3NmjVTq1atdObMGe3fv99mu+JtLi4u6t69e41qWrdunRISEiQxtzUAAEBjV6+GhVTGtddeK0nasGGDDMMot80333wjqWgVRW9v7xodr3hISKdOnTRkyJAa9SVJO3bssD7v0KFDjfsDAACA4zS4cD1p0iRJ0rFjx7Rq1aoy23fu3KmoqChJ0p133lmjY8XGxioiIkKSNHnyZJuL1hSzFfaL5eTk6J///KckydfXV8OHD69RfQAAAHCsBheuhw8fbl2Bcdq0aVq1apUKCwslSZGRkQoPD5ckhYWF6a677iqz/5IlS2SxWGSxWCochrJ48WIVFhbKzc2t3L4u9v3332vEiBH64IMPdPLkSevreXl5ioyM1ODBg62zjjz55JM1Hr8NAAAAx6pXY64ra8WKFRo+fLh2796tW2+9VV5eXnJxcbHOEhISEqLPP/9crq6u1T5GYWGh3n//fUnS9ddfr9atW1e4j2EYioyMtM4C4u3tLV9fX6WkpCgvL09S0Tjwf/zjH/r73/9e7doAAADgHA0yXAcFBWnHjh16/fXX9dFHH+no0aMqLCxUaGiowsPDNWfOnBpPWxcREaHY2FhJlb+RMSwsTPPnz9f27du1b98+JSQkKDk5WT4+PurRo4cGDx6sadOmKSwsrEa1AQAAwDksRkUDgVFvpKamKjAwUCkpKcx5DQAAGjVn5aIGN+YaAAAAcBbCNQAAAGASwjUAAABgEsI1AAAAYBLCNQAAAGASwjUAAABgEsI1AAAAYBLCNQAAAGASwjUAAABgEsI1AAAAYBLCNQAAAGASwjUAAABgEsI1AAAAYBLCNQAAAGASwjUAAABgEsI1AAAAYBLCNQAAAGASwjUAAABgEsI1AAAAYBLCNQAAAGASwjUAAABgEsI1AAAAYBLCNQAAAGASwjUAAABgEsI1AAAAYBLCNQAAAGASwjUAAABgEsI1AAAAYBLCNQAAAGASwjUAAABgEsI1AAAAYBLCNQAAAGASwjUAAABgEsI1AAAAYBLCNQAAAGASwjUAAABgEsI1AAAAYBLCNQAAAGASwjUAAABgEsI1AAAAYBLCNQAAAGASwjUAAABgEsI1AAAAYBLCNQAAAGASwjUAAABgEsI1AAAAYBLCNQAAAGASwjUAAABgEsI1AAAAYBLCNQAAAGASwjUAAABgEsI1AAAAYBLCNQAAAGASwjUAAABgEsI1AAAAYBLCNQAAAGASwjUAAABgEsI1AAAAYBLCNQAAAGASwjUAAABgEsI1AAAAYBLCNQAAAGASwjUAAABgEsI1AAAAYBLCNQAAAGASwjUAAABgEsI1AAAAYBLCNQAAAGASwjUAAABgEsI1AAAAYBLCNQAAAGASwjUAAABgEsI1AAAAYBLCNQAAAGASwjUAAABgEsI1AAAAYBI3ZxeAusUwDOXl5amwsNDZpQBAjbi4uMjd3V0Wi8XZpQBoRAjXkCQVFBQoISFBaWlpysvLc3Y5AGAKd3d3+fv7q3nz5nJ1dXV2OQAaAcI1VFBQoLi4OOXk5CgwMFB+fn5ydXXlag+AesswDBUUFCg9PV3JycnKyspScHAwARtArSNcQwkJCcrJyVG7du3k7e3t7HIAwDR+fn4KDAxUbGysEhIS1LJlS2eXBKCB44bGRs4wDKWlpSkwMJBgDaBB8vb2VkBAgNLS0mQYhrPLAdDAEa4buby8POXl5cnPz8/ZpQBArfH397d+3gFAbSJcN3LFs4IwDhFAQ1b8GcdMSABqG+EaksTNiwAaND7jADgK4RoAAAAwCeEaAAAAMAlT8cGu675+VPlGvrPLqNfcLG7aOPo5Z5cBAAAcgHANu/KNfOUVFji7jPqNvw8BANBo8LUPACbLzMzUE088oe7du8vb21sWi0UWi0V79uyRJLVv314Wi0VLliypVv813R8AUHsI10A9Mm/ePGtQq+5+FT1KMgxD27dv1+OPP66hQ4eqZcuWcnd3V2BgoHr37q1HH31Up06dsnvs4n7nzZtX1bdbb40fP15PP/20Dh8+LIvFopYtW1r/7Rqa3NxcBQQEyGKx6OTJkxW2X7lypfr06SNvb281adJEN954o3bv3m13n+Lz98UXXzSrbACoNQwLARqZqiz//Oyzz+rxxx+3/myxWBQYGKiUlBT98ssv+uWXX/Tmm2/qgw8+0JgxY2qj3Hrn8OHD+uKLLyRJH3/8sW699dYybS677DJ5eXkpMDDQ0eWZzsPDQ6NHj9Ynn3yi9evX64EHHrDZ9tVXX9WsWbMkSV5eXkpPT9eXX36pb7/9Vt9//7369OlTZp/Dhw/rueeeU8+ePa37AkBdxpVroJE5c+aM3UdJeXl5CggI0H333advv/1WGRkZSkpKUkZGhtasWaN27dopNTVVf/3rX3Xo0CEnvaO6Zd++fZKkZs2alRusJSkyMlKHDx/WLbfc4sjSas3NN98sSVq3bp3NNqmpqdb/UFuwYIHS09OVnJys8ePHKysrSw8//HCZfQzD0L333quCggK99957LHYFoF7gyjWqzc3CF11J+UbDu/Fz7NixeuihhxQUFFTqdW9vb4WHh6tnz566/PLLlZWVpRdffFELFy50UqV1R2ZmpiTJz8/PyZU4zvXXXy83Nzdt3rxZqampCggIKNNm+/btSk9PV58+fTR9+nRJRf9Gb7/9tlatWqWtW7cqKytL3t7e1n0WL16s77//XrNmzVLv3r0d9n4AoCYI16gWN4ur3h4409ll1Cn3/fBagwvYf/rTn+xu79Chg4YNG6avvvpKP/30U63VERcXp9dff10bN27U8ePHlZubqzZt2ig0NFTjxo3TrbfeKi8vr1L7FBQUaOnSpVq+fLn27t2rtLQ0NW/eXAMGDND06dM1dOjQco81dOhQfffdd5o7d67mzp2rhQsXauHChTp06JAMw1BoaKimT5+uiRMnltpv3rx5euqpp6w/nzhxotQY9kmTJllvQGzfvr1OnDih999/X3fddVeZGor/Y+XDDz/U8ePH5e/vrz59+mjOnDkaPnx4pf7NvvzySy1evFg7duxQQkKCfHx8FBYWpttuu0333HOPPDw8THvvTZo00ZAhQxQZGamvvvpKEyZMKNN3QkKCpKIhMRfv27x5c507d06JiYlq27atJOncuXN65JFHFBwcrH//+9+Ves8AUBcQrgHUSHGoLSionf+w+OCDDzRt2jRlZ2dLKhrj6+/vr9jYWEVHR2v9+vW64oorSv2HQEpKisaOHavNmzdLklxdXeXv76/Tp09r9erVWr16tR5++GG98MILNo9bUFCgW265RevWrZObm5t8fHyUlpamHTt2aMeOHfrtt99KhWk/Pz+1bNlSWVlZSk1NlYuLi1q0aGHdXtnx1YmJiRoxYoT1Jj83Nzfl5eXp66+/1jfffKM33njD7v5ZWVm68847tXr1autrAQEBSklJ0ZYtW7RlyxYtW7ZMX331VZm/SFT3vUtFf+WIjIzUunXryg3XzZo1kyQdO3as1OvJyclKSEiQq6urmjZtan199uzZSkpK0tKlSxvVXwEA1H+MuQZQbXl5efrhhx8kSWFhYab3/+WXX2rSpEnKzs7WwIEDtWXLFmVlZSkhIUEZGRnasmWLpk6dWuYq7D333KPNmzfLw8NDr732mlJTU5WUlKT4+HhNnjxZkjR//ny9/fbbNo/9xhtvaPPmzVqyZIlSU1OVkpKiuLg43XTTTZKkp59+Wr/99pu1/cMPP6wzZ87o1VdflSQFBweXGste/HpFpkyZot27d8vT01Nvv/220tLSlJSUpJiYGOswnfPnz9vcf9q0aVq9erU6duyoFStWKCUlRSkpKcrMzNS6devUsWNH7dixw/rvYMZ7l2S9ofXrr79WXl5emT4HDBggX19f7dq1S2+++aYKCwuVkZGh6dOnq7CwUAMHDrQOCdm4caM+/PBDjRs3znpMAKgvCNdAI9OqVSubjwMHDlSpr5deeklnz56VJE2dOtXUOvPz8zVjxgwZhqFBgwbp22+/1aBBg+TiUvSx5eHhoUGDBundd99Vjx49rPvt3LlTa9askSS9/vrrmjFjhnx8fCQVvfdFixZp3LhxkqQnnnjCekX8YklJSVq7dq0mTZpkDX2XXnqpVq1apTZt2qiwsFCffPKJqe/5xx9/1Nq1ayVJb775pu69917rXwZCQkK0atUq/fnPf7aO677Yli1btHz5cl1yySXavHmzbr/9duv4Zy8vL40ZM0bfffedfH199dlnn1nn3Tbjvbdr1049e/ZUSkqK9S8GJQUEBOhf//qXJGn69Ony9fVVYGCgPvzwQ3l5een555+XVHTl/f7771dAQIBee+21qv0DAkAdQLgGGpmzZ8/afJR3xdGWrVu36sknn5Qk3XbbbbrmmmtMrTMqKkrHjx+XJL388svljhEuz8cffyypKAxOmTKl3DbFY3gTEhK0adOmctsMHDhQw4YNK/O6p6enRo4cKUnau3dvpWqqrJUrV0oquup99913l9nu6uqqJ554wub+ixYtkiTdcccdCg4OLrfNpZdean1fGzZsKLdNdd97RbOG/O1vf9Py5cvVs2dPGYYhHx8fjRo1Slu2bNGf//xnSdJTTz2l6OhoPffcc2rTpo3S0tI0e/ZsXXrppfL09FS3bt0I3QDqNMI10MgYhmHzUdENjMUOHz6s8PBw5ebm6vLLL9c777xjep3btm2TVHS1ubz5j23ZtWuXJGnYsGHWq9wX6969u/XGueL2FysOe+Vp06aNpKLx0WYqrmXo0KE2Fwq6+uqr5eZW/u0yxUN0Fi1aZPcvFBEREZKKbrosT3Xfe2Wm5Lvjjjv0yy+/KDs7W6mpqfr666+tv999+/bpxRdfVL9+/XTfffcpPz9fI0eO1CuvvKLmzZvrtttuU1pamh566CH9/e9/t3kMAHAmbmgEUCVHjx7VNddco/Pnz6tr166KiIiQv7+/6ccpnnM7JCSkSvudO3dOkqzh2ZZLL71Up06dsra/mL33VBxuq3KlvzIqU7uXl5eaNWtmHY5TUnx8vKSiOaVTU1MrPJ6t4SXVfe9/+tOfFBISohMnTujnn3+u0vR5hYWFmjZtmiwWi9577z25uLho0aJF2r59u6699lp99dVXcnNz05kzZxQWFqb58+drypQp6tKlS6WPAQCOwJVrAJV29OhRDRs2TKdPn1aXLl0UFRWlVq1a1cqxqrrEO/6YseWtt96y+xeK4kfx1IBmqszV6/K8/fbb2rFjhx5++GGFhoZKknX8+cyZM62hvlWrVpo4caIMw6jyMQDAEQjXACqlOFjHx8erc+fOioqKUuvWrWvteMWh3dbQBVsuueQSSdLJkyfttiveXty+Liiu5dSpUzbb5OTk6MKFC+Vuq+6/mZmqE67j4+P16KOP6rLLLis1pjw6OlpS2bmxO3fuXGo7ANQlhGsAFTp69KiGDh2q+Ph4denSRZs3b7aOva0tAwYMkFQ0PMTWuOjyFI/fjYqKUmFhYbltDh8+bA2wffv2rWGl5imu/bvvvpNhGOW2+f7775Wfn1/utoEDB0qSvvjii9opsBKuvvpqBQUFae/evdYbUisyc+ZMpaam6u233y61QmOxrKwsuz8DQF3CmGtUS75RoPt+4I79khra6ozFioN1yaEgtR2spaIbEjt27Kjo6GjNnj1bkZGRlZoxZMKECXr55Zd16tQpLVy4UNOmTSvTpniWk+bNm2vEiBGm115d48eP18svv6zY2FgtXbq0zOqNhYWFevrpp23uP23aNH344Yfav3+/3nrrLd1///0222ZkZMjd3b3Ss7BUlpubm2644QYtX75c69at06xZs+y2//zzz7VmzRpNnDixzO+iQ4cOOnLkiH788Uf16tXL+vqOHTskSR07djS1dgAwA1euUW35RgGPEg9HS0hIsPtITk6u8TF+//136xjrrl27OuSKdTFXV1ctWLBAFotFW7du1fDhw7V161br1ejc3Fxt3rxZEydO1MGDB637XXXVVdZ5rGfMmKEFCxZYb9w7c+aMpk6dqlWrVkkqmpLv4mXTnenPf/6zdTGW+++/X++9955ycnIkSbGxsRo/fry2b99unbf7YkOGDLFO4Td9+nTNnj271NCJnJwc7dixQ3//+98VEhJi82bOmqrs0JD09HRNnz5dTZs21UsvvWSzn2effVYHDhyQYRhas2aNPvvsM1ksFhaYAVAnceUaqKdKLq1dniuvvNLmIiGV9eyzz1pnoDh9+rR69uxpt33xDB9mGT16tJYsWaJp06Zp69atGjx4sDw9PeXn56eUlBTr8IiHH3641H6LFi1SQkKCvvvuO82YMUOzZ8+Wv7+/kpOTrcMtHn74Yd13332m1muGxYsXa/jw4fr11181bdo064IrycnJslgsWrBggZ5//nmb46rffvttubq6auHChXrllVf0yiuvyM/PT+7u7kpJSSk1VKa2bhodNWqUPD09tXXrViUmJpZa1rykJ554QnFxcVq8eHG55/PkyZO1aNEi7dq1S6GhofL29rYOCfnb3/6mbt261Ur9AFATXLkGYFPJIJaammp3AZrypoYzw5133qnDhw9r1qxZ6tGjh9zc3JSVlaWQkBCNHTtWH3zwgbp3715qn8DAQEVGRmrRokUaOnSo/P39lZ6erlatWmncuHGKiorSCy+8UCv11lSzZs20bds2PfXUU+rWrZtcXFzk5uamUaNGadOmTXrggQfs7u/h4aH33ntP27Zt01133aXLLrtMBQUFSk9P1yWXXKKhQ4fqySef1N69eyucrrC6/Pz8dM011yg/P19ffvlluW1+/vlnvf766xo6dGi5C+YUv5eIiAg9+OCDat26tfLz89WlSxe99NJLmj9/fq3UDgA1ZTFs3TWDeic1NVWBgYFKSUmxLnlckezsbB0/flwdOnQo98/j13z1iPIKG+ZYYkdxd3HVt9fXzSAH1JZ33nlH9913n8LDw63L0TtTRZ91ABqe6uQiM3DlGgBgujFjxshisWjDhg3Kzs52djkA4DCMuYZdbhY3/hOshtws/N8MjU/r1q31yiuvKDExUQkJCbr00kudXRIAOATf+rBr4+jnnF0CgHpq5syZzi4BAByOa5IAAACASQjXAAAAgEkI1wAAAIBJCNcAAACASQjXAAAAgEkI15AksZYQgIaMzzgAjkK4buRcXIpOgYICVmEE0HAVf8YVf+YBQG3hU6aRc3d3l7u7u9LT051dCgDUmrS0NOvnHQDUJsJ1I2exWOTv76+UlBRlZWU5uxwAMF1WVpZSU1Pl7+8vi8Xi7HIANHCs0Ag1b95cWVlZio2NVUBAgPz9/eXq6sqXEIB6yzAMFRQUKC0tTampqfL09FTz5s2dXRaARoBwDbm6uio4OFgJCQlKS0tTcnKys0sCAFO4u7urSZMmat68uVxdXZ1dDoBGgHANSUUBu2XLlrrkkkuUl5enwsJCZ5cEADXi4uIid3d3/goHwKEI1yjFYrHIw8PD2WUAAADUS9zQCAAAAJiEcA0AAACYhHB9kfz8fEVGRuqFF17QhAkT1KVLF7m4uMhiseiuu+6qcf9LliyRxWKp8BEREVHzNwMAAACHYsz1RU6ePKkRI0bU+nFcXFzUokULm9s9PT1rvQYAAACYi3BdDn9/f1155ZXq3bu3evXqpZdffll79uwx9RjBwcGKiYkxtU8AAAA4F+H6Iu3atVNKSkqpqZsWL17sxIoAAABQXxCuL+LiwjB0AAAAVA9JEgAAADAJ4dpJzp8/r969e8vPz0/e3t7q2LGjJk6cqM2bNzu7NAAAAFQTw0KcJDMzU7/88ouCgoKUkZGh48eP6/jx41qxYoXuvvtuvfvuu3Jzs//rycnJUU5OjvXnlJQUSVJqamqt1g4AAFDXFechwzAcelzCtYO1adNGc+fOVXh4uLp27SpPT08VFBRo586dmjt3riIiIvT+++/L19dXr7/+ut2+nnvuOT311FNlXg8ODq6t8gEAAOqVCxcuKDAw0GHHsxiOjvP10NChQ/Xdd99p0qRJWrJkSa0dp7CwUOHh4Vq3bp1cXFx0+PBhde7c2Wb7i69cJycnKyQkRLGxsQ49idCwpKamKjg4WHFxcQoICHB2OaiHOIdQU5xDMENKSoratWunpKQkNWnSxGHHbVRXrsPDw7Vt27YyrwcHB+unn35yQkWlubi4aP78+Vq3bp0KCwv1+eef629/+5vN9p6enuUuNhMYGMiHEWosICCA8wg1wjmEmuIcghkcPRNcowrXiYmJOnv2bJnXvby8nFBN+Tp16qTmzZsrISFB0dHRzi4HAAAAVdCowjUzcQAAAKA2MRVfHXPs2DElJCRIkjp06FClfT09PTV37txyh4oAlcV5hJriHEJNcQ7BDM46j7ihsRLMuqHRMIxSy6qXt33cuHFau3atXFxcdPDgQXXt2rXaxwMAAIBjceW6HCkpKUpISLA+8vLyJBXNzlHy9eJ5pUtasmSJLBaLLBZLmWEoJ06c0FVXXaV33nlH0dHR1nkXCwsLtWPHDo0ePVpr166VJN17770EawAAgHqmUY25rqybb75Z3333XZnXV65cqZUrV1p/HjJkSJXHcf/000/WmUk8PT3l7++vtLS0UlPq3X333XrttdeqVzwAAACchnDtQC1bttTrr7+u7du3a8+ePTp//rySkpLk5eWlDh06aMCAAZo8ebIGDhzo7FIBAABQDYy5BgAAAEzCmOs6Kj8/X5GRkXrhhRc0YcIEdenSRS4uLrJYLLrrrrtq3H/JseH2HhERETV/M6h1ubm5eumll9S3b18FBgbKz89PYWFhmjt3rtLS0qrdb2XOkeLHsGHDyuw/b968Su37+++/1+Tto5akpaVp3rx5CgsLk5+fnwIDA9W3b1+9+OKLys3NrVHfZ8+e1Zw5c9S1a1d5e3uradOmGjx4sBYuXCiu+dQfZp8jMTExVfrcufvuu8v0cdddd1Vq3/z8fDP+CVCLMjMz9fXXX+vpp59WeHi4QkJCrL+/efPm1ajv2vx+YlhIHXXy5EmNGDGi1o/j4uKiFi1a2NzONEh1X1JSkoYPH67du3dLKvqdubq6av/+/dq/f7+WLl2q7777TiEhIVXuu2XLlna35+XlKTExUZLUt29fm+3c3d3VtGlTm9vd3PgoqmtOnDihoUOHKiYmRpLk4+OjnJwc7dq1S7t27dKKFSsUGRmpoKCgKvf9888/a+TIkbpw4YIkyc/PT2lpadq6dau2bt2q1atXa/369fLw8DDzLcFktXGOuLq6Vvi5k52dbZ1QwN7njpeXlwIDA21utzd7F+qGH3/8Uddff32tHqNWvp8M1EnHjx83/P39jUGDBhkPPfSQsXTpUuNPf/qTIcmYNGlSjft///33DUlGSEhIjfuCc40ePdqQZAQEBBgff/yxUVBQYBiGYWzcuNFo3bq1IckICwsz8vPzTT/2/PnzDUmGJOPw4cNlts+dO9eQZAwZMsT0Y6P25OXlGWFhYYYko3Xr1samTZsMwzCMgoICY+XKlYa/v78hybj++uur3HdycrLRqlUrQ5LRrVs346effjIMwzBycnKMBQsWGO7u7oYk4/777zf1PcFctXmOVOTBBx80JBne3t5GUlJSme2TJk0y7bsSzhUVFWUEBQUZw4cPNx555BHjo48+sn5+zJ07t0Z91+b3E+G6jiooKDAKCwtLvTZkyBDCNUqJiIiwhtuPPvqozPZt27ZZty9cuND043fv3t2QZAwaNKjc7YTr+mnhwoXW82bbtm1ltn/44YfW7REREVXq+/HHH7cGo+jo6DLbn332WUOS4erqahw5cqTa7wG1qzbPEXuysrKMoKAgQ5IxceLEctsQrhuO8i4KhYSE1PlwzZjrOqp4fDVgz9KlSyVJHTt21Pjx48ts79+/v4YOHSpJWrZsmanH3rZtmw4dOiRJmjJliql9w7mKz6thw4apf//+ZbZPmDDBuoJsVc+r4vYl+yhpxowZ8vPzU0FBgVasWFHV0uEgtXmO2PPpp58qKSlJEp87jYGrq6uzS6gWwjVQj23atEmSNGrUKJv/MTZ69GhJ0tatW5WVlWXasRctWiRJCgwM1F//+lfT+oVzZWZm6ocffpD0x7lzMYvFolGjRkmSNm7cWOm+jxw5otjYWLt9+/n5afDgwVXuG45Tm+dIRYo/dzp37qwhQ4aY1i9gJsJ1I3f+/Hn17t1bfn5+8vb2VseOHTVx4sQqL44Dx7tw4YLOnDkjSQoNDbXZrnhbYWGh9UpzTaWnp+uTTz6RJN12223y8fGx2/7AgQMKDQ2Vj4+P/Pz81LVrV02dOtV6EybqjkOHDqmwsFBS5c6rM2fOWG9qrcj+/fvL7G+v74MHD1aqXzhWbZ4j9kRHRysqKkqSdM8991TYPjIyUl26dJGXl5cCAgIUFhamWbNm6bfffqtxLWg4auP7iXDdyGVmZuqXX36Rh4eHCgsLdfz4ca1YsULDhg3T5MmTmaqoDouPj7c+b9u2rc12JbeV3KcmVq5cqfT0dEmV+9NsQkKCDh06JG9vb+Xk5Ojo0aNauHChevfurccff9yUmmCO2jyvqtp3amqq9TxD3eGsz57FixfLMAy5ublp0qRJFbY/efKkoqOj5ePjo8zMTO3fv1+vvvqqQkND9dZbb9W4HjQMtfH9RLhupNq0aaO5c+fq119/VXZ2thITE61/6iueAvD999/X7NmznVwpbCk5f7W9K8clt9VkzuuSFi5cKEm68sor1bt3b5vtOnfurOeff15HjhxRdna2Lly4oIyMDG3YsEG9e/eWYRh65pln9OKLL5pSF2quNs8rZ56zMI8zfo8FBQVasmSJJOmGG25Qq1atbLbt1auXFixYoJiYGOXk5CgxMVGpqalas2aNLrvsMuXm5uqBBx7QmjVralQT6rfa/H4iXDdS1113nebNm6crrrjCOpe1q6urBgwYoA0bNujmm2+WJL355pv8CQ2lHDhwQDt37pRU8VXrO+64Q4888oi6dOkid3d3SZKHh4euu+46bd261TpH7bx586zz1gLAxb755hudOnVKUsWfOzNnztT06dMVEhJivSHOx8dH4eHh2rlzp/VGyzlz5rBgUSNWm99PhGsnCA8PV6tWrco87E2G70guLi6aP3++pKJxup9//rmTK2qcKjpP/P39rW0zMzNt9lNyW8l9qqv4qrWXl5cmTpxY7X68vLz07LPPSioawx0ZGVnj2lBztXleOeuchbmc8Xss/txp27atzZsoK6NZs2Z67LHHJBUtgsN9HyhPTb+fWBbNCRITE3X27Nkyr3t5eTmhmvJ16tRJzZs3V0JCgqKjo51dTqNU0XnSpk0b62vFV3TKU3JbyX2qIzc3V8uXL5ckjRs3Tk2aNKlRfyWn8OI8qxsuPq+uuOKKcttV57y6uO+AgAC7fQcEBMjPz69SfcNxavMcKc/Zs2f1xRdfSCpa2rym07Nd/LnTq1evGvWHhqkm309cuXaCzZs3yyhawKfUo3gJWUCq+Dxp1qyZddxhyVkYLla8zcXFRd27d69RTevWrVNCQoIk5phtqLp37y4Xl6KvhsqcV61atbK7dHBJJWeWqEzfPXr0qFS/cKzaPEfKs2zZMuXn58tisWjy5MnV7gdwFMI1ynXs2DFriCpvoQfUDddee60kacOGDTbHDn7zzTeSpEGDBsnb27tGxyv+02ynTp1MmWN2x44d1uecZ3WDj4+PBg4cKOmPc+dihmFow4YNkoru36isLl26qF27dnb7zsjI0JYtW6rcNxynNs+R8hTPbT1s2DB17NixRn1JfO6gcmpynhCuG6GKbuAwDEOPPPKIpKKrnTfeeKMjykI1FE9HdezYMa1atarM9p07d1rnhb3zzjtrdKzY2FhFRERIkiZPnlzhCqIVnWc5OTn65z//KUny9fXV8OHDa1QfzFN8XkVFRVlvXi1p1apV1j+TVuW8slgs1vYrV64s9691b7zxhtLT0+Xq6qo77rijGtXDEWrrHLnY1q1bdeTIEUmV+2tZRZ87iYmJ1rG0wcHB6tmzZ7VrQ/1V699Ppi+oDtMkJycb58+ftz4GDBhgSDImTJhQ6vXk5OQy+77//vuGJEOSERUVVWrb8ePHjb59+xpvv/22cezYMaOwsNAwDMMoKCgwtm/fbowcOdK67/333++It4oaGD16tCHJCAwMND755BOjoKDAMAzDiIiIMNq0aWNIMsLCwoz8/Pwy+9o7Ty42d+5cQ5Lh5uZmxMfHV1jX5s2bjeHDhxvLli0z4uLirK/n5uYaERERRt++fa3H/u9//1u1N41alZeXZ4SFhRmSjLZt2xoRERGGYRR9RnzyySdGQECAIckYPXp0mX2LzxNJxvHjx8tsT05ONlq1amVIMnr06GHs2rXLMAzDyMnJMd58803Dw8ODz556oDbPkZImTZpkSDKaNm1qZGdnV1jXsmXLjFtuucVYvXq1cfbsWevrmZmZxtq1a40uXbpYj71y5cqqvWk4RWJiYqnMExwcbEgyHnnkkVKvp6WlldrP3nlW299PhOs6bMiQIdZfrr3HkCFDyuxbUbguub+np6fRvHlzw9PTs9Trd999t5GXl+eYN4tqS0xMNHr27Gn9vXl5eRk+Pj7Wn0NCQoyYmJhy961suC4oKDDatWtnSDLGjBlTqbqioqJKnU/e3t5G8+bNDXd3d+trLi4uxmOPPVadt41advz4caN9+/bW35WPj4/h5eVl/blnz55GYmJimf0qE5x27dplNGvWzNrO39+/1Hlx3XXXVSpIwblq8xwxDMNISUmxfpbNnDmzUjWV/EyTZPj6+hrNmjUzXF1dS33nvfHGG9V923CwkJCQSmWhSZMmldrP3nlW299PzBbSCLVs2VKvv/66tm/frj179uj8+fNKSkqSl5eXOnTooAEDBmjy5MnWMXWo24KCgrRjxw69/vrr+uijj3T06FEVFhYqNDRU4eHhmjNnjs1ZGSorIiJCsbGxkip/I2NYWJjmz5+v7du3a9++fUpISFBycrJ8fHzUo0cPDR48WNOmTVNYWFiNakPtaN++vfbu3av58+fr008/1fHjx+Xu7q7LL79ct912m2bMmCEPD49q9d27d28dOHBA//3vf/XFF18oLi5Ovr6+Cg0N1aRJkzR58mTrDXOou2rzHJGKhg4VT+dX2c+dYcOG6ZlnntH27dt16NAhXbhwQSkpKQoICFCnTp10zTXX6N5772WsdSNX299PFsNgBnUAAADADFwaAAAAAExCuAYAAABMQrgGAAAATEK4BgAAAExCuAYAAABMQrgGAAAATEK4BgAAAExCuAYAAABMQrgGAAAATEK4BgBUyalTp/Tcc8+pX79+atmypXx8fNStWzdNmTJFe/fudXZ5AOBULH8OAKiUwsJCvfzyy3r88ceVnZ1dbhtXV1e9/fbbmjJlioOrA4C6gXANAKhQXl6exo8fr7Vr11pfa9Gihbp27aqkpCQdPHhQJb9ONm3apBEjRjijVABwKoaFAADsMgxDt99+uzVYN23aVB9++KFOnz6tLVu2aP/+/frxxx/VunVr6z4PPvigCgsLnVUyADgNV64BAHa9+uqrmjVrliTpkksu0bZt23TZZZeVabd582YNGzbM+vOWLVs0aNAgR5UJAHUCV64BADYdOXJE//jHPyRJFotFq1evLjdYS9LQoUPVq1cv68/r1693SI0AUJcQrgEANj355JPWmxfvvPNODR482G77fv36WZ8fOnSoVmsDgLqIcA0AKNfBgwe1evVqSUVXrR999NEK92nZsqX1+YkTJ2qtNgCoqwjXAIByLViwwHpT4vDhw9W1a9cK93Fzc7M+z8zMrLXaAKCuIlwDAMrIz8/XqlWrrD9PnDix0vsV8/T0NL0uAKjrCNcAgDIiIiKUkJAgqWhhmDFjxlRqv5SUFOtzHx+fWqkNAOoywjUAoIyIiAjr8379+ikoKKhS+yUmJlqft2vXzvS6AKCuc6u4CQCgsdmyZYv1+Q8//CCLxVLlPjp37mxmSQBQL3DlGgBQSlZWln755Zca90O4BtAYceUaAFDKkSNHSt2YeN1111XqynVycrJ27txp/fmqq66qlfoAoC4jXAMASvntt9+szwMDA7Vhw4ZK7bdw4UJruA4KClJoaGi57c6fP6///Oc/Wr9+vU6ePClfX1/16tVLDzzwgMaOHVvj+gHAmRgWAgAo5dixY9bnwcHBld4vMjLS+nzgwIHlXu0+cOCAQkND9dJLL+n333+Xu7u7kpOTtWnTJt1yyy166KGHalY8ADgZ4RoAUEpSUpL1eckVF+3Jy8vTxo0brT+Hh4eXaZOTk6MxY8bo3LlzCg0N1Z49e5SamqrU1FQ9/fTTslgseu211/T+++/X/E0AgJMQrgEApeTk5Fif+/r6VmqfiIgI6zR8Xl5e5Ybrd999V9HR0fLx8dGXX36pK6+8UlLRfNj//Oc/9cADD0iSHn/8ceXl5dX0bQCAUxCuAQClFC95LqnSU/AtXrzY+nzs2LEKDAws02b58uWSpNtuu63cObD//ve/y2KxKD4+XlFRUVUtGwDqBMI1AKCU1q1bW5+XXHHRluPHj2vt2rWSisL4Y489VqZNenq6fvrpJ0nSqFGjyu2nXbt26t69u6TS47cBoD4hXAMASmnfvr31+YEDBypsP2fOHBUUFEiSxo0bp7CwsDJtDh06JMMwJMnmLCIltx08eLAqJQNAnUG4BgCUcvXVV1uHg5w/f17ff/+9zbaLFi2yXrVu2rSpXn311XLbnT592vq8TZs2Nvsr3layPQDUJ4RrAEApbdu2LbUAzJw5c5SZmVmm3dKlS3X//fdbf3733XdtBuf09HTrcx8fH5vHLt6WlpZW5boBoC5gERkAQBnz5s3T6NGjJUm7du1Sv379NHv2bHXo0EFxcXFavnx5qan3XnnlFY0bN85Z5QJAnUG4BgCUMWrUKE2dOlXvvfeeJGnfvn2aPHlymXZeXl56+eWXdd9999ntz8/Pz/o8MzNTAQEB5bYrvkLu7+9f3dIBwKkYFgIAKNc777yjf/3rX+UGYTc3N40ZM0Z79uypMFhLpcdZx8fH22xXvK3kjCUAUJ9w5RoAUC6LxaInnnhCs2bNUmRkpGJiYmQYhtq1a6dBgwZVevVGSerWrZssFosMw9CBAwfUrVu3ctsVz07So0cPU94DADga4RoAYJe/v7/Gjh1boz78/Px01VVXaefOnfrmm2/KHZ998uRJ6xR8w4cPr9HxAMBZGBYCAHCIO+64Q5L00UcfKS4ursz2559/XoZhqE2bNho2bJijywMAUxCuAQAOMW3aNHXs2FEZGRm68cYbtXfvXklSVlaW/vOf/2jBggWSpKefflru7u7OLBUAqs1iFC+ZBQBALTtw4ICuueYanTt3TpIUEBCgjIwM6wqPM2bM0GuvvebMEgGgRgjXAACHOnfunP7zn//o888/V1xcnHx9fdWrVy9Nnz69xmO7AcDZCNcAAACASRhzDQAAAJiEcA0AAACYhHANAAAAmIRwDQAAAJiEcA0AAACYhHANAAAAmIRwDQAAAJiEcA0AAACYhHANAAAAmIRwDQAAAJiEcA0AAACY5P8DM82pH4Z4pdAAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_parameter_regions(\n", " confidence_region[1],\n", " param_dim=PARAM_DIM,\n", " true_parameter=true_param_notconsistent,\n", " param_names=['theta0', 'theta1'],\n", " parameter_space_bounds={'theta0': simulator.poi_space_bounds, 'theta1': simulator.poi_space_bounds},\n", " alpha_shape=True, # contour,\n", " alpha=2, # hyperparameter for contour (the lower, the more it converges to a convex hull)\n", " scatter=False, # don't plot evaluation points\n", " figsize=(7.5, 7.5),\n", " colors=['mediumseagreen'],\n", " region_names=['LF2I confidence set']\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Posterior Credible Region" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/jet/home/jcarzon/probabilistic-regression/submodule/lf2i/src/lf2i/plot/parameter_regions.py:426: UserWarning: Contour might be unreliable if alpha is not chosen properly. Please plot scatter as well, and choose alpha appropriately (try from 1 to 20).\n", " warnings.warn(\"Contour might be unreliable if alpha is not chosen properly. Please plot scatter as well, and choose alpha appropriately (try from 1 to 20).\")\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_parameter_regions(\n", " hpd_region(\n", " posterior=lf2i.test_statistic.estimator,\n", " param_grid=simulator.poi_grid,\n", " x=observed_x_notconsistent,\n", " credible_level=CONFIDENCE_LEVEL\n", " )[1],\n", " param_dim=PARAM_DIM,\n", " true_parameter=true_param_notconsistent,\n", " param_names=['theta0', 'theta1'],\n", " parameter_space_bounds={'theta0': simulator.poi_space_bounds, 'theta1': simulator.poi_space_bounds},\n", " alpha_shape=True, # contour,\n", " alpha=2, # hyperparameter for contour (the lower, the more it converges to a convex hull)\n", " scatter=False, # don't plot evaluation points\n", " figsize=(7.5, 7.5),\n", " colors=['blue'],\n", " region_names=['Posterior credible set']\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## LOCAL COVERAGE" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "from lf2i.plot.coverage_diagnostics import coverage_probability_plot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Posterior Credible Regions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that for this example we are using the simulator to obtain training datasets. If one has pre-simulated datasets, they can be given as inputs directly to the `inference` method." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Computing indicators for 10000 credible regions: 100%|██████████| 10000/10000 [02:42<00:00, 61.69it/s]\n" ] } ], "source": [ "# this will take a few minutes because it has to compute a HPD credible region for each pair of (theta, x) in the simulated set\n", "# the code is parallelized, but one can make it faster by decreasing the argument num_p_levels, which controls the number of level sets examined to construct the HPD region\n", "# note that this might cause the credibility level of the HPD region to be only approximately equal to CONFIDENCE LEVEL\n", "diagnostic_estimator, parameters, mean_proba, upper_proba, lower_proba, sizes = lf2i.coverage(\n", " region_type='posterior',\n", " simulator=simulator,\n", " b_double_prime=10_000,\n", " evaluation_grid=simulator.poi_grid.reshape(-1, PARAM_DIM),\n", " confidence_level=CONFIDENCE_LEVEL,\n", " posterior_estimator=lf2i.test_statistic.estimator,\n", " parameter_grid=simulator.poi_grid,\n", " exact=False,\n", " n_jobs=-2\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Coverage of posterior credible regions can be very erratic: they tend to overcover close to the “bulk” of the prior and severely undercover far from it. The correct level here is 90%" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "coverage_probability_plot(\n", " parameters=parameters,\n", " coverage_probability=mean_proba, \n", " upper_proba=None,\n", " lower_proba=None,\n", " confidence_level=CONFIDENCE_LEVEL,\n", " param_dim=PARAM_DIM,\n", " figsize=(12, 12)\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Waldo Confidence Regions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that for this example we are using the simulator to obtain training datasets. If one has pre-simulated datasets, they can be given as inputs directly to the `inference` method." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Approximating conditional mean and covariance for 10000 points...: 0%| | 0/10000 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "coverage_probability_plot(\n", " parameters=parameters,\n", " coverage_probability=mean_proba, \n", " upper_proba=None,\n", " lower_proba=None,\n", " confidence_level=CONFIDENCE_LEVEL,\n", " param_dim=PARAM_DIM,\n", " figsize=(12, 12)\n", ")" ] } ], "metadata": { "kernelspec": { "display_name": "tsi", "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": "3.11.9" }, "orig_nbformat": 4 }, "nbformat": 4, "nbformat_minor": 2 }