{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", " \n", "
\n", "\n", "# Estimating the Error Variance\n", "\n", "Author(s): Paul Miles | Date Created: August 21, 2018\n", "\n", "Included in the [pymcmcstat](https://github.com/prmiles/pymcmcstat/wiki) package is the ability to estimate the error variance as part of the sampling process. Furthermore, when using multiple data sets to inform parameter values, you can estimate error variances for each data set separately. \n", "\n", "For more details regarding how to estimate the error variance please refer to:\n", "- Smith, R. C. (2013). Uncertainty quantification: theory, implementation, and applications (Vol. 12). SIAM.\n", "- Marsaglia, G., & Tsang, W. W. (2000). A simple method for generating gamma variables. ACM Transactions on Mathematical Software (TOMS), 26(3), 363-372. [https://doi.org/10.1145/358407.358414](https://doi.org/10.1145/358407.358414)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# import required packages\n", "import numpy as np\n", "from pymcmcstat.MCMC import MCMC\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Define Model and Sum-of-Squares Functions\n", "- Note, the sum-of-squares function is designed to loop through the data sets." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# define model function\n", "def modelfun(xdata, theta):\n", " m = theta[0]\n", " b = theta[1]\n", " nrow, ncol = xdata.shape\n", " y = np.zeros([nrow, 1])\n", " y[:,0] = m*xdata.reshape(nrow,) + b\n", " return y\n", "# define sum-of-squares function\n", "def ssfun(theta, data):\n", " n = len(data.xdata)\n", " ss = np.zeros([n])\n", " for ii in range(n):\n", " xdata = data.xdata[ii]\n", " ydata = data.ydata[ii]\n", " # eval model\n", " ymodel = modelfun(xdata, theta)\n", " # calc sos\n", " ss[ii] = sum((ymodel[:, 0] - ydata[:, 0])**2)\n", " return ss" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Define Data Set - Plot\n", "We consider two simulated data sets. Both are linear, but each one has a different level of observation errors. The first data set has $\\varepsilon_i \\sim N(0, 0.1)$, whereas the second data set has $\\varepsilon_i \\sim N(0, 0.5)$." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Add data\n", "nds = 100\n", "m = 2.\n", "b = 3.\n", "x1 = np.linspace(2, 3, num=nds).reshape(nds, 1)\n", "y1 = m*x1 + b + 0.1*np.random.standard_normal(x1.shape)\n", "res1 = y1 - modelfun(x1, [m, b])\n", "\n", "x2 = np.linspace(1, 5, num=nds).reshape(nds, 1)\n", "y2 = m*x2 + b + 0.5*np.random.standard_normal(x2.shape)\n", "res2 = y2 - modelfun(x2, [m, b])\n", "\n", "plt.figure(figsize=(8, 4))\n", "plt.subplot(1, 2, 1)\n", "plt.plot(x1, y1, '.b');\n", "plt.plot(x1, modelfun(x1, [m, b]), '-r', linewidth=3);\n", "plt.xlabel('$x_1$'); plt.ylabel('$y_1$');\n", "plt.subplot(1, 2, 2)\n", "plt.plot(x1, res1, '.g');\n", "mr = res1.mean()\n", "plt.plot([x1[0], x1[-1]], [mr, mr], '-k', linewidth=3)\n", "plt.xlabel('$x_1$')\n", "plt.ylabel(s=str('Residual, ($\\\\mu$ = {:5.4e})'.format(mr)));\n", "plt.suptitle('Data Set 1')\n", "plt.tight_layout(rect=[0, 0.03, 1, 0.95])\n", "\n", "plt.figure(figsize=(8, 4))\n", "plt.suptitle('Data Set 2')\n", "plt.subplot(1, 2, 1)\n", "plt.plot(x2, y2, '.b');\n", "plt.plot(x2, modelfun(x2, [m, b]), '-r', linewidth = 3);\n", "plt.xlabel('$x_2$')\n", "plt.ylabel('$y_2$');\n", "plt.subplot(1, 2, 2)\n", "plt.plot(x2, res2, '.g');\n", "mr = res2.mean()\n", "plt.plot([x2[0], x2[-1]], [mr, mr], '-k', linewidth = 3)\n", "plt.xlabel('$x_2$')\n", "plt.ylabel(s=str('Residual, ($\\\\mu$ = {:5.4e})'.format(mr)));\n", "plt.tight_layout(rect=[0, 0.03, 1, 0.95])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Initialize MCMC Object and Setup Simulation\n", "- We call the `add_data_set` method twice to add each data set to the MCMC data structure.\n", "- The `updatesigma` flag must be turned on in order to include the observation errors in the sampling process." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "mcstat = MCMC()\n", "mcstat.data.add_data_set(x1, y1)\n", "mcstat.data.add_data_set(x2, y2)\n", "mcstat.simulation_options.define_simulation_options(\n", " nsimu=int(5.0e4),\n", " updatesigma=True,\n", " method='dram')\n", "mcstat.model_settings.define_model_settings(sos_function=ssfun)\n", "mcstat.parameters.add_model_parameter(name='m', theta0=1.0)\n", "mcstat.parameters.add_model_parameter(name='b', theta0=2.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Run Simulation" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Sampling these parameters:\n", " name start [ min, max] N( mu, sigma^2)\n", " m: 1.00 [ -inf, inf] N( 0.00e+00, inf)\n", " b: 2.00 [ -inf, inf] N( 0.00e+00, inf)\n", " [-----------------100%-----------------] 50000 of 50000 complete in 17.4 sec\n", "---------------------\n", "name : mean std MC_err tau geweke\n", "m : 1.9853 0.0262 0.0010 24.2541 0.9997\n", "b : 3.0429 0.0672 0.0025 24.7143 0.9998\n", "---------------------\n" ] } ], "source": [ "# run mcmc\n", "mcstat.run_simulation()\n", "# Extract results\n", "results = mcstat.simulation_results.results\n", "chain = results['chain']\n", "s2chain = results['s2chain']\n", "names = results['names']\n", "# define burnin\n", "burnin = int(results['nsimu']/2)\n", "# display chain statistics\n", "mcstat.chainstats(chain[burnin:, :], results)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Plot Parameter Chains, Posteriors, and Observation Standard Deviations" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.10968996 0.50018012]\n" ] }, { "data": { "image/png": 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\n", 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mcpl = mcstat.mcmcplot # initialize plotting methods\n", "mcpl.plot_density_panel(chain[burnin:,:], names);\n", "mcpl.plot_chain_panel(chain[burnin:,:], names);\n", "mcpl.plot_density_panel(np.sqrt(s2chain[burnin:,:]), ['$\\\\sigma_1$', '$\\\\sigma_2$']);\n", "print(np.mean(np.sqrt(s2chain[burnin:,:]), axis = 0))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We observe that the estimated observation error standard deviations have mean values around 0.11 and 0.50. As the data was generated assuming 0.10 and 0.50, this result is in good agreement." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Plot Prediction/Credible Intervals for Multiple Data Sets" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Generating credible/prediction intervals:\n", "\n", "\n", "Interval generation complete\n", "\n" ] }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# generate prediction intervals\n", "def pred_modelfun(preddata, theta):\n", " return modelfun(preddata.xdata[0], theta)\n", "mcstat.PI.setup_prediction_interval_calculation(\n", " results=results,\n", " data=mcstat.data,\n", " modelfunction=pred_modelfun,\n", " burnin=burnin)\n", "mcstat.PI.generate_prediction_intervals(calc_pred_int=True)\n", "# plot prediction intervals\n", "data_display = dict(marker='o', color='b', mfc='w')\n", "model_display = dict(color='r', linestyle='--')\n", "figh, axh = mcstat.PI.plot_prediction_intervals(\n", " adddata=True,\n", " plot_pred_int=True,\n", " model_display=model_display,\n", " data_display=data_display)\n", "for ii, axi in enumerate(axh):\n", " axi.set_xlabel(str('$x_{}$'.format(ii + 1)), fontsize=22)\n", " axi.set_ylabel(str('$y_{}$'.format(ii + 1)), fontsize=22)\n", " axi.set_title(str('Data Set {}'.format(ii + 1)), fontsize=22)\n", " axi.tick_params(labelsize=22)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Discussion\n", "We observe the expected behavior as about 95% of the data points are contained within the 95% prediction interval. The prediction intervals are generated by propagating uncertainty from the parameters and the observation error chain, so this result further supports that our algorithm successfully estimates the observation errors in the data." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.6.8" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autoclose": false, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": true, "user_envs_cfg": false }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 2 }