{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Hyperparameters, `Parameter`, `ParameterSet`, and `ParameterSetCollection`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Along with the observational priors contained within `DiscreteLogPrior` we need priors on the hyperparameters dictating the shapes of the observational priors. \n", "\n", "`GammaBayes` treats these two distributions differently so that `DiscreteLogPrior` can be as optimised as possible seeing as it needs to be used to evaluate three dimensional integrals tens of millions of times for large observation runs.\n", "\n", "Additionally, despite both being priors they just behave differently within `GammaBayes` and this tutorial will detail hte various behaviours of the `Parameter` class which houses these hyperparameter priors and the two collection classes for it." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## `Parameter`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`Parameter` has three general use cases:\n", "1. A discrete distribution over a one-dimensional axis that is either linearly or log10 spaced\n", "2. A continuous distribution defined between two bounds in either linear or log10 space\n", "3. A custom distribution implemented using `scipy`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### `Parameter` as a discrete distribution" ] }, { "cell_type": "markdown", "metadata": {}, "source": [] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/lpin0002/anaconda3/envs/testofwest/lib/python3.12/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" ] }, { "data": { "text/plain": [ "{'discrete': True,\n", " 'bins': 11,\n", " 'scaling': 'linear',\n", " 'default_value': 1.0,\n", " 'num_events': 1,\n", " 'axis': array([10., 11., 12., 13., 14., 15., 16., 17., 18., 19., 20.]),\n", " 'parameter_type': 'None',\n", " 'bounds': [10.0, 20.0],\n", " 'custom_dist': False,\n", " 'distribution': ,\n", " 'transform_scale': 11,\n", " 'rvs_sampling': False}" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from gammabayes import Parameter\n", "\n", "\n", "discrete_linear_parameter = Parameter(discrete=True, bounds=[10, 20], bins=11, scaling='linear')\n", "discrete_linear_parameter" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'discrete': True,\n", " 'bins': 11,\n", " 'scaling': 'log10',\n", " 'default_value': 1.0,\n", " 'num_events': 1,\n", " 'axis': array([1.e-05, 1.e-04, 1.e-03, 1.e-02, 1.e-01, 1.e+00, 1.e+01, 1.e+02,\n", " 1.e+03, 1.e+04, 1.e+05]),\n", " 'parameter_type': 'None',\n", " 'bounds': [1e-05, 100000.0],\n", " 'custom_dist': False,\n", " 'distribution': ,\n", " 'transform_scale': 11,\n", " 'rvs_sampling': False}" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "discrete_log10_parameter = Parameter(discrete=True, bounds=[1e-5, 1e5], bins=11, scaling='log10')\n", "discrete_log10_parameter" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "import numpy as np\n", "\n", "linear_input_axis = np.linspace(9, 21, 1201)\n", "log10_input_axis = np.logspace(-6, 6, 1201)\n", "\n", "\n", "\n", "# Create the figure and axes\n", "fig, ax = plt.subplots(1, 2, figsize=(10, 4))\n", "\n", "# Plot on the first axis\n", "ax1 = ax[0]\n", "ax1.plot(linear_input_axis, discrete_linear_parameter.pdf(linear_input_axis), c='tab:blue')\n", "ax1.set_xlabel('Linear Input Axis')\n", "ax1.set_ylabel('PDF', c='tab:blue',)\n", "ax1.tick_params(axis='y', labelcolor='tab:blue',)\n", "\n", "\n", "# Create a twin y-axis sharing the same x-axis\n", "ax1_twin = ax1.twinx()\n", "ax1_twin.plot(linear_input_axis, discrete_linear_parameter.cdf(linear_input_axis), c='tab:orange')\n", "ax1_twin.set_ylabel('CDF', c='tab:orange', )\n", "ax1_twin.tick_params(axis='y', labelcolor='tab:orange', )\n", "\n", "\n", "ax1.axvline(discrete_linear_parameter.median, ls='--', c='tab:red', label='median')\n", "\n", "ax1.legend()\n", "\n", "# Plot on the second axis\n", "ax2 = ax[1]\n", "ax2.plot(log10_input_axis, discrete_log10_parameter.pdf(log10_input_axis), c='tab:blue')\n", "ax2.set_xlabel('Log10 Input Axis')\n", "ax2.set_xscale('log')\n", "ax2.set_ylabel('PDF', c='tab:blue',)\n", "ax2.tick_params(axis='y', labelcolor='tab:blue',)\n", "\n", "# Create a twin y-axis sharing the same x-axis\n", "ax2_twin = ax2.twinx()\n", "ax2_twin.plot(log10_input_axis, discrete_log10_parameter.cdf(log10_input_axis), c='tab:orange')\n", "ax2_twin.set_ylabel('CDF', c='tab:orange', )\n", "ax2_twin.tick_params(axis='y', labelcolor='tab:orange', )\n", "\n", "\n", "ax2.axvline(discrete_linear_parameter.median, ls='--', c='tab:red', label='median')\n", "ax2.legend()\n", "\n", "\n", "# Show the plot\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### `Parameter` as a continuous distribution" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'discrete': False,\n", " 'bins': 11,\n", " 'scaling': 'linear',\n", " 'default_value': 1.0,\n", " 'num_events': 1,\n", " 'axis': None,\n", " 'parameter_type': 'None',\n", " 'bounds': [10.0, 20.0],\n", " 'custom_dist': False,\n", " 'distribution': ,\n", " 'rvs_sampling': True}" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "continuous_linear_parameter = Parameter(discrete=False, bounds=[10, 20], scaling='linear')\n", "continuous_linear_parameter" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'discrete': False,\n", " 'bins': 11,\n", " 'scaling': 'log10',\n", " 'default_value': 1.0,\n", " 'num_events': 1,\n", " 'axis': None,\n", " 'parameter_type': 'None',\n", " 'bounds': [1e-05, 100000.0],\n", " 'custom_dist': False,\n", " 'distribution': ,\n", " 'rvs_sampling': True}" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "continuous_log10_parameter = Parameter(discrete=False, bounds=[1e-5, 1e5], scaling='log10')\n", "continuous_log10_parameter" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.4685526477460895" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "continuous_log10_parameter.distribution.logpdf(1e-2)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "import numpy as np\n", "\n", "linear_input_axis = np.linspace(9, 21, 101)\n", "log10_input_axis = np.logspace(-6, 6, 101)\n", "\n", "\n", "\n", "# Create the figure and axes\n", "fig, ax = plt.subplots(1, 2, figsize=(10, 4))\n", "\n", "# Plot on the first axis\n", "ax1 = ax[0]\n", "ax1.plot(linear_input_axis, continuous_linear_parameter.pdf(linear_input_axis), c='tab:blue')\n", "ax1.set_xlabel('Linear Input Axis')\n", "ax1.set_ylabel('PDF', c='tab:blue',)\n", "ax1.tick_params(axis='y', labelcolor='tab:blue',)\n", "\n", "\n", "# Create a twin y-axis sharing the same x-axis\n", "ax1_twin = ax1.twinx()\n", "ax1_twin.plot(linear_input_axis, continuous_linear_parameter.cdf(linear_input_axis), c='tab:orange')\n", "ax1_twin.set_ylabel('CDF', c='tab:orange', )\n", "ax1_twin.tick_params(axis='y', labelcolor='tab:orange', )\n", "\n", "\n", "ax1.axvline(discrete_linear_parameter.median, ls='--', c='tab:red', label='median')\n", "ax1.legend(loc=[0.17, 0.7])\n", "\n", "# Plot on the second axis\n", "ax2 = ax[1]\n", "ax2.plot(log10_input_axis, continuous_log10_parameter.pdf(log10_input_axis), c='tab:blue')\n", "ax2.set_xlabel('Log10 Input Axis')\n", "ax2.set_xscale('log')\n", "ax2.set_ylabel('PDF', c='tab:blue',)\n", "ax2.tick_params(axis='y', labelcolor='tab:blue',)\n", "ax2.set_yscale('log')\n", "\n", "# Create a twin y-axis sharing the same x-axis\n", "ax2_twin = ax2.twinx()\n", "ax2_twin.plot(log10_input_axis, continuous_log10_parameter.cdf(log10_input_axis), c='tab:orange')\n", "ax2_twin.set_ylabel('CDF', c='tab:orange', )\n", "ax2_twin.tick_params(axis='y', labelcolor='tab:orange', )\n", "\n", "\n", "ax2.axvline(discrete_linear_parameter.median, ls='--', c='tab:red', label='median')\n", "ax2.legend(loc=[0.27, 0.85])\n", "\n", "\n", "# Show the plot\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### `Parameter` with a custom distribution" ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'custom_dist_name': 'norm',\n", " 'custom_dist_kwargs': {'loc': 0.5, 'scale': 0.125},\n", " 'discrete': False,\n", " 'bins': 11,\n", " 'scaling': 'linear',\n", " 'default_value': 1.0,\n", " 'num_events': 1,\n", " 'axis': None,\n", " 'parameter_type': 'None',\n", " 'bounds': [0.0, 1.0],\n", " 'custom_dist': True,\n", " 'distribution': ,\n", " 'rvs_sampling': False}" ] }, "execution_count": 73, "metadata": {}, "output_type": "execute_result" } ], "source": [ "continuous_custom_parameter = Parameter(discrete=False, custom_dist_name='norm', custom_dist_kwargs={'loc':0.5, 'scale':0.125})\n", "continuous_custom_parameter" ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "import numpy as np\n", "from scipy.stats import uniform\n", "\n", "linear_input_axis = np.linspace(0, 1, 101)\n", "\n", "uniform_samples = uniform().rvs(50000)\n", "\n", "# Create the figure and axes\n", "fig, ax = plt.subplots(1, 1, figsize=(8, 5))\n", "\n", "# Plot on the first axis\n", "ax1 = ax\n", "ax1.plot(linear_input_axis, continuous_custom_parameter.pdf(linear_input_axis), c='tab:blue', label='pdf')\n", "ax1.set_xlabel('Linear Input Axis')\n", "ax1.set_ylabel('PDF', c='tab:blue',)\n", "ax1.tick_params(axis='y', labelcolor='tab:blue',)\n", "\n", "\n", "ax1.hist([continuous_custom_parameter.unitcube_transform(sample) for sample in uniform_samples], \n", " alpha=0.3, density=True, bins=linear_input_axis[::2], label='Samples')\n", "ax1.axvline(continuous_custom_parameter.median, ls='--', c='tab:red', label='median')\n", "\n", "# Create a twin y-axis sharing the same x-axis\n", "ax1_twin = ax1.twinx()\n", "ax1_twin.plot(linear_input_axis, continuous_custom_parameter.cdf(linear_input_axis), c='tab:orange')\n", "ax1_twin.set_ylabel('CDF', c='tab:orange', )\n", "ax1_twin.tick_params(axis='y', labelcolor='tab:orange', )\n", "ax1_twin.set_ylim([0, None])\n", "ax1.legend(loc=[0.05, .75])\n", "# Show the plot\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "___....Currently undergoing remodelling, sorry for the inconvenience....___" ] }, { "cell_type": "markdown", "metadata": {}, "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "testofwest", "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": "3.12.0" } }, "nbformat": 4, "nbformat_minor": 2 }