{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", " \n", "
\n", "\n", "# Radiation Source Localization\n", "Author(s): Paul Miles, Jason Hite | Date Created: July 19, 2019\n", "\n", "This example demonstrates how MCMC methods can be used to locate unknown sources of gamma radiation in an urban environment. For this demonstration we consider a simulated 250m x 178m block of downtown Washington D.C.\n", "\n", "We utilize a highly simplified radiation transport model which ignores scattering. The model consists of the following components. There are $N_d$ gamma detectors located at positions $\\mathbf{r}_i, i = 1, ..., N_d$. A ray tracing algorithm is implemented for a source located at $\\mathbf{r}_0 = (x_0, y_0)$ with intensity $I_0$. Buildings affect the readings of the gamma detectors, so we have modeled their impact using a exponential decay function that depends on the building dimensions and average cross-section. For the $i^{th}$ detector, we let $N_i$ denote the number of buildings between $\\mathbf{r}_0$ and $\\mathbf{r}_i$. For $n_i = 1,...,N_i$, we let $s_{n_i}$ and $\\sigma_{n_i}$ denote the length of the building segment and the average cross-section of the $n_i^{th}$ building, respectively. The surface area, efficiency, and measurement duration for the $i^{th}$ detector are denoted by $A_i, \\varepsilon_i,$ and $\\Delta t_i$, respectively. Finally, $B_i$ represents the expected background count rate at position $\\mathbf{r}_i$. \n", "$$\n", "\\Gamma_i = \\frac{\\Delta t_i\\varepsilon_iA_iI_0}{4\\pi|\\mathbf{r}_i - \\mathbf{r}_0|^2}\\exp\\Big(-\\sum_{n_i=1}^{N_i}\\sigma_{n_i}s_{n_i}\\Big) + E[B_i\\Delta t_i]\n", "$$\n", "\n", "This model is implemented in the open source Python package [gefry3](https://github.com/jasonmhite/gefry3). The input deck for this example can be found [here](https://github.com/jasonmhite/gefry3/blob/master/examples/g3_deck.yml). For additional reading on this area of research, please refer to the following articles:\n", "\n", "- Hite, J., & Mattingly, J. (2018). Bayesian Metropolis Methods for Source Localization in an Urban Environment. Radiation Physics and Chemistry. [https://doi.org/10.1016/j.radphyschem.2018.06.024](https://doi.org/10.1016/j.radphyschem.2018.06.024)\n", "- Ştefănescu, R., Schmidt, K., Hite, J., Smith, R. C., & Mattingly, J. (2017). Hybrid optimization and Bayesian inference techniques for a non‐smooth radiation detection problem. International Journal for Numerical Methods in Engineering, 111(10), 955-982. [https://doi.org/10.1002/nme.5491](https://doi.org/10.1002/nme.5491)\n", "- Hite, J. M., Mattingly, J. K., Schmidt, K. L., Ştefănescu, R., & Smith, R. (2016, September). Bayesian metropolis methods applied to sensor networks for radiation source localization. In Multisensor Fusion and Integration for Intelligent Systems (MFI), 2016 IEEE International Conference on (pp. 389-393). IEEE. [https://doi.org/10.1109/MFI.2016.7849519](https://doi.org/10.1109/MFI.2016.7849519)\n", "\n", "__Acknowledgment:__\n", "Funding for this research provided by the [Consortium for Nonproliferation Enabling Capabilities (CNEC)](https://cnec.ncsu.edu/).\n", "\n", "__Package Installation:__\n", "All packages can be install via\n", "```python\n", "pip install package_name\n", "```\n", "with the exception of [gefry3](https://github.com/jasonmhite/gefry3), which requires\n", "```python\n", "pip install git+https://github.com/jasonmhite/gefry3\n", "```\n", "Advanced statistical plots are generated using the [mcmcplot](https://prmiles.wordpress.ncsu.edu/codes/python-packages/mcmcplot/) package.\n", "\n", "To run this particular notebook, please execute the two cells below. The first cell will install [gefry3](https://github.com/jasonmhite/gefry3) and the second [descartes](https://pypi.org/project/descartes/)." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "pip install git+https://github.com/jasonmhite/gefry3" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "pip install descartes" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# import required packages\n", "import os\n", "import gefry3\n", "import numpy as np\n", "from pymcmcstat.MCMC import MCMC\n", "from descartes.patch import PolygonPatch\n", "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "np.seterr(over = 'ignore')\n", "NOBS = 1 # number of observations for each detector\n", "NS = int(1e3) # number of MCMC simulations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Define Radiation Model, Problem Domain, and Background Radiation" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[1522. 1544. 1475. 1682. 1602. 1517. 1546. 1769. 1664. 1668.]]\n", "S0 = [158. 98.] m, I0 = 3214000000.0 Bq\n" ] } ], "source": [ "# Setup Radiation Model - Downtown Urban Environment Simulation\n", "P = gefry3.read_input_problem('data_files' + os.sep + 'g3_deck.yml', 'Simple_Problem')\n", "# Setup background\n", "nominal_background = 300\n", "dwell = np.array([detector.dwell for detector in P.detectors])\n", "B0 = nominal_background * dwell\n", "# True source and intensity\n", "S0 = P.source.R # m\n", "I0 = P.source.I0 # Bq\n", "nominal = P(S0, I0)\n", "ndet = len(P.detectors)\n", "# Define observations\n", "observations = np.random.poisson(\n", " nominal + nominal_background * dwell,\n", " size=(\n", " NOBS,\n", " ndet,\n", " ),\n", ")\n", "observations = observations.astype(np.float64)\n", "# Setup parameter bounds\n", "XMIN, YMIN, XMAX, YMAX = P.domain.all.bounds\n", "IMIN, IMAX = I0 * 0.1, I0 * 10\n", "XMIN, YMIN, XMAX, YMAX = P.domain.all.bounds\n", "print(observations)\n", "print('S0 = {} m, I0 = {} Bq'.format(S0, I0))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Define Sum-of-Squares Error Function." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "# Radiation Sum of Squares Function\n", "def radiation_ssfun(theta, data):\n", " x, y, I = theta\n", " model, background = data.user_defined_object[0]\n", " output = model((x, y), I) + background\n", "\n", " res = data.ydata[0] - output\n", " ss = (res ** 2).sum(axis = 0)\n", " return ss" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Initialize MCMC Object and Setup Simulation\n", "Note, we pass the radiation model into our residual function via the data structure. Also note, the background is included as a parameter, but it is not sampled during the simulation." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "# Initialize MCMC object\n", "mcstat = MCMC()\n", "# setup data structure for dram\n", "mcstat.data.add_data_set(\n", " x=np.zeros(observations.shape),\n", " y=observations,\n", " user_defined_object=[\n", " P,\n", " B0,\n", " ],\n", ")\n", "mcstat.parameters.add_model_parameter(\n", " name='$x_0$',\n", " theta0=140.,\n", " minimum=XMIN,\n", " maximum=XMAX,\n", ")\n", "mcstat.parameters.add_model_parameter(\n", " name='$y_0$',\n", " theta0=85.,\n", " minimum=YMIN,\n", " maximum=YMAX,\n", ")\n", "mcstat.parameters.add_model_parameter(\n", " name='$I_0$',\n", " theta0=3.0e9,\n", " minimum=IMIN,\n", " maximum=IMAX\n", ")\n", "\n", "mcstat.simulation_options.define_simulation_options(\n", " nsimu=NS,\n", " updatesigma=False,\n", " method='dram',\n", " adaptint=100,\n", " verbosity=1,\n", " waitbar=1,\n", " save_to_json=False,\n", " save_to_bin=False,\n", ")\n", "\n", "mcstat.model_settings.define_model_settings(\n", " sos_function=radiation_ssfun,\n", " sigma2=observations.sum(axis=0),\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Run Simulation" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Sampling these parameters:\n", " name start [ min, max] N( mu, sigma^2)\n", " $x_0$: 140.00 [ 0.00e+00, 246.62] N( 0.00e+00, inf)\n", " $y_0$: 85.00 [ 0.00e+00, 176.33] N( 0.00e+00, inf)\n", " $I_0$: 3.00e+09 [ 3.21e+08, 3.21e+10] N( 0.00e+00, inf)\n", " [-----------------100%-----------------] 1000 of 1000 complete in 66.6 sec" ] } ], "source": [ "# Run mcmcrun\n", "mcstat.run_simulation()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Process Results and Display Statistics" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "------------------------------\n", "name : mean std MC_err tau geweke\n", "$x_0$ : 160.6402 2.7195 0.3393 10.0607 0.9957\n", "$y_0$ : 98.9279 1.8359 0.1848 6.0494 0.9936\n", "$I_0$ : 2.406e+09 3.638e+08 48017969.7110 11.4787 0.9392\n", "------------------------------\n", "==============================\n", "Acceptance rate information\n", "---------------\n", "Results dictionary:\n", "Stage 1: 20.30%\n", "Stage 2: 56.10%\n", "Net : 76.40% -> 764/1000\n", "---------------\n", "Chain provided:\n", "Net : 80.00% -> 400/500\n", "---------------\n", "Note, the net acceptance rate from the results dictionary\n", "may be different if you only provided a subset of the chain,\n", "e.g., removed the first part for burnin-in.\n", "------------------------------\n", "Acceptance rate: 76.4%\n", "Model Evaluations: 1797\n" ] }, { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pymcmcstat import mcmcplot as mcp\n", "import seaborn as sns\n", "\n", "results = mcstat.simulation_results.results\n", "# specify burnin period\n", "burnin = int(results['nsimu']/2)\n", "# display chain statistics\n", "chain = results['chain'][burnin:, :]\n", "sschain = results['sschain'][burnin:, :]\n", "names = results['names']\n", "mcstat.chainstats(chain, results)\n", "print('Acceptance rate: {:6.4}%'.format(100*(1 - results['total_rejected'])))\n", "print('Model Evaluations: {}'.format(results['nsimu']\n", " - results['iacce'][0]\n", " + results['nsimu']))\n", "# generate mcmc plots\n", "sns.set_style('white')\n", "mcp.plot_density_panel(chain, names)\n", "mcp.plot_chain_panel(chain, names)\n", "mcp.plot_pairwise_correlation_panel(chain, names)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Generate Plot of Urban Environment With Source Location Distributions\n", "First we define a function to allow us to add axes within a figure." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "def add_subplot_axes(ax,rect,**kwargs):\n", " fig = plt.gcf()\n", " box = ax.get_position()\n", " width = box.width\n", " height = box.height\n", " inax_position = ax.transAxes.transform(rect[0:2])\n", " transFigure = fig.transFigure.inverted()\n", " infig_position = transFigure.transform(inax_position) \n", " x = infig_position[0]\n", " y = infig_position[1]\n", " width *= rect[2]\n", " height *= rect[3] # <= Typo was here\n", " subax = fig.add_axes([x,y,width,height],**kwargs)\n", " x_labelsize = subax.get_xticklabels()[0].get_size()\n", " y_labelsize = subax.get_yticklabels()[0].get_size()\n", " x_labelsize *= rect[2]**0.5\n", " y_labelsize *= rect[3]**0.5\n", " subax.xaxis.set_tick_params(labelsize=x_labelsize)\n", " subax.yaxis.set_tick_params(labelsize=y_labelsize)\n", " return subax" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We set the context of our displays to \"talk\" which will improve their visibility for presentation. To begin, we will plot the joint distribution relative to the true source location." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.set_context('talk')\n", "settings = dict(jointplot=dict(kind='kde', color='b'),\n", " marginal_kws=dict(alpha=1))\n", "fig0 = mcp.plot_joint_distributions(\n", " chain[:, 0:2],\n", " names,\n", " settings=settings\n", ");\n", "# add source\n", "fig0.ax_joint.plot(P.source.R[0], P.source.R[1], 'or',\n", " linewidth=3, markerfacecolor='r',\n", " markersize=10, label='True Source');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we plot the joint distributions relative to our entire simulated urban environment. We have added an insert to highlight the relative positioning of the posterior distributions and the true source location." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "settings = dict(jointplot=dict(kind='kde', color='b'),\n", " marginal_kws=dict(alpha=1))\n", "fig = mcp.plot_joint_distributions(\n", " chain[:, 0:2],\n", " names,\n", " settings=settings);\n", "fig.ax_marg_x.set_xlim([XMIN, XMAX])\n", "fig.ax_marg_y.set_ylim([YMIN, YMAX])\n", "ax = fig.ax_joint\n", "# add source\n", "ax.plot(P.source.R[0], P.source.R[1],\n", " linewidth=3,\n", " markerfacecolor='r',\n", " markersize=8,\n", " marker='*')\n", "# add buildings to plot\n", "for building in P.domain.solids:\n", " patch = PolygonPatch(building.geom, alpha=0.3,\n", " facecolor='g', edgecolor='k')\n", " ax.add_patch(patch)\n", "# Create insert\n", "rect = [0.1, 0.1, 0.3, 0.3]\n", "ax1 = add_subplot_axes(ax, rect, facecolor='w')\n", "sns.kdeplot(chain[:, 0], chain[:, 1], ax=ax1, color='b')\n", "mu = results['mean']\n", "xlimits = [mu[0] - 7.5, mu[0] + 7.5]\n", "ylimits = [mu[1] - 7.5, mu[1] + 7.5]\n", "ax1.set_xlim(xlimits)\n", "ax1.set_ylim(ylimits)\n", "# add source\n", "ax1.plot(P.source.R[0], P.source.R[1],\n", " linewidth=3,\n", " markerfacecolor='r',\n", " markersize=20,\n", " marker='*')\n", "# add buildings to plot\n", "for building in P.domain.solids:\n", " patch = PolygonPatch(building.geom, alpha=0.3,\n", " facecolor='g', edgecolor='k')\n", " ax1.add_patch(patch)\n", "# Create lines outlining insert location\n", "from mpl_toolkits.axes_grid1.inset_locator import mark_inset\n", "mark_inset(ax, ax1, loc1=2, loc2=4,\n", " facecolor=\"none\", edgecolor=\"k\", linewidth=2)\n", "ax1.xaxis.set_visible(False)\n", "ax1.yaxis.set_visible(False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We observe that the poster distributions for the source location are within a couple meters of the true source location (red star - $R_{true} = [158, 98]$ meters). Furthermore, the true location is within the uncertainty bounds of our posteriors." ] } ], "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": "3.6.9" }, "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": { "height": "calc(100% - 180px)", "left": "10px", "top": "150px", "width": "304px" }, "toc_section_display": true, "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 2 }