{
"nbformat": 4,
"nbformat_minor": 0,
"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"
},
"colab": {
"name": "Exercise_08_2.ipynb",
"provenance": [],
"include_colab_link": true
},
"accelerator": "GPU"
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
""
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "zhevd7m4MEoT"
},
"source": [
"# Air-shower reconstruction using a convolutional neural network\n",
"## Cosmic-ray observatory\n",
"In this example, we will train a neural network to reconstruct air-shower properties measured by a hypothetic cosmic-ray observatory located at a height of 1400 m. The observatory features a cartesian array of 14 x 14 particle detectors with a distance of 750 m. \n",
"Thus, the measured data contain the simulated detector responses from secondary particles of the cosmic-ray induced air shower that interact with the ground-based observatory. \n",
"\n",
"Each particle detector measures two quantities that are stored in the form of a cartesian image (2D array with 14 x 14 pixels)\n",
"- arrival time `T`: arrival time of the first particles\n",
"- signal `S`: integrated signal\n",
"\n",
"In this task, we are interested in reconstructing the cosmic-ray energy in EeV (exaelectronvolt = $10^{18}~\\mathrm{eV}$) using the measured particle footprint and a convolutional neural network.\n",
"\n",
"\n",
"# Preparation:\n",
"**Enable a GPU for this task.** \n",
"Therefore, click:\n",
"*Edit* -> *Notebook settings* -> *select GPU* as *Hardware accelerator*\n",
"\n",
"# References\n",
"The tutorial is inspired by the simulation and the study performed in https://doi.org/10.1016/j.astropartphys.2017.10.006. \n"
]
},
{
"cell_type": "code",
"metadata": {
"id": "dc1W4fDQMEoZ",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "f3e0cc67-a420-4ed1-c5e3-89039857c30d"
},
"source": [
"import tensorflow as tf\n",
"from tensorflow import keras\n",
"import numpy as np\n",
"import seaborn as sns\n",
"from matplotlib import pyplot as plt\n",
"\n",
"layers = keras.layers\n",
"\n",
"print(\"tf\", tf.__version__)\n"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"keras 2.6.0\n",
"tf 2.6.0\n"
]
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "qlKbYg4eMEod"
},
"source": [
"---\n",
"# Data\n",
"### Download data\n",
"As a first step, we have to download the simulated air shower data."
]
},
{
"cell_type": "code",
"metadata": {
"id": "afCf7h-HMEoe"
},
"source": [
"import os\n",
"import gdown\n",
"url = \"https://drive.google.com/u/0/uc?export=download&confirm=HgGH&id=19gOSVQ0mhdjMkm5i2u5NsGrWNBdlhR4F\"\n",
"output = 'airshowers_mnist.npz'\n",
"\n",
"if os.path.exists(output) == False:\n",
" gdown.download(url, output, quiet=False)\n",
"\n",
"f = np.load(output)"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "lpTcoB3xMEof"
},
"source": [
"### Input 1: Arrival times\n",
"Our first input is the arrival times of the first shower particles, measured at the various stations. We normalize the arrival times with respect to the mean and the standard deviation of the arrival time distribution. \n",
"Remember that each input has the shape of 14 x 14, as each station measures a specific arrival time.\n"
]
},
{
"cell_type": "code",
"metadata": {
"id": "Im1FDnqBMEog",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "f187a008-b149-40a7-cfa7-b654fee88b2e"
},
"source": [
"# time map\n",
"T = f['time']\n",
"T -= np.nanmean(T)\n",
"T /= np.nanstd(T)\n",
"T[np.isnan(T)] = 0\n",
"\n",
"print(T.shape)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"(100000, 14, 14)\n"
]
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "3p35M05lMEoh"
},
"source": [
"#### Plot four example maps\n",
"To visualize a map of arrival times, we can plot a random example event. Here, the dark blue indicates an early trigger and a bright yellow a late trigger. \n",
"With this information, one can directly get an impression of the shower axis (arrival direction) of the arriving particle shower."
]
},
{
"cell_type": "code",
"metadata": {
"id": "FRw8E9H7MEoi",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 513
},
"outputId": "15ee1d8d-ff1c-4d3c-e2cd-136218c12cc9"
},
"source": [
"nsamples=len(T)\n",
"random_samples = np.random.choice(nsamples, 4)\n",
"\n",
"def rectangular_array(n=14):\n",
" \"\"\" Return x,y coordinates for rectangular array with n^2 stations. \"\"\"\n",
" n0 = (n - 1) / 2\n",
" return (np.mgrid[0:n, 0:n].astype(float) - n0)\n",
"\n",
"plt.figure(figsize=(9,7))\n",
"\n",
"for i,j in enumerate(random_samples):\n",
" plt.subplot(2,2,i+1)\n",
" footprint=T[j,...]\n",
" xd, yd = rectangular_array()\n",
" mask = footprint != 0\n",
" mask[5, 5] = True\n",
" marker_size = 50 * footprint[mask]\n",
" plot = plt.scatter(xd, yd, c='grey', s=10, alpha=0.3, label=\"silent\")\n",
" circles = plt.scatter(xd[mask], yd[mask], c=footprint[mask], \n",
" cmap=\"viridis\", alpha=1, label=\"loud\",\n",
" edgecolors=\"k\", linewidths=0.3)\n",
" cbar = plt.colorbar(circles)\n",
" cbar.set_label('normalized time [a.u.]')\n",
" plt.xlabel(\"x / km\")\n",
" plt.ylabel(\"y / km\")\n",
" plt.grid(True)\n",
"\n",
"plt.tight_layout()\n",
"plt.show()"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
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\n",
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