{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Time-integrated stacking\n", "\n", ".. contents:: :local:\n", "\n", "In this tutorial we demonstrate time-integrated stacking analysis." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import stats\n", "\n", "import histlite as hl\n", "import csky as cy\n", "\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/mnt/lfs7/user/ssclafani/software/external/csky/csky/plotting.py:92: MatplotlibDeprecationWarning: Support for setting the 'text.latex.preamble' or 'pgf.preamble' rcParam to a list of strings is deprecated since 3.3 and will be removed two minor releases later; set it to a single string instead.\n", " r'\\SetSymbolFont{operators} {sans}{OT1}{cmss} {m}{n}'\n" ] } ], "source": [ "cy.plotting.mrichman_mpl()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ideally we'd like to work with something like (Tessa's) 10yr PS sample:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "ana_dir = cy.utils.ensure_dir('/data/user/mrichman/csky_cache/ana/')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Setting up Analysis for:\n", "IC40, IC59, IC79, IC86_2011, IC86v3_2012_2017\n", "Setting up IC40...\n", "Reading /data/ana/analyses/ps_tracks/version-003-p02/IC40_MC.npy ...\n", "Reading /data/ana/analyses/ps_tracks/version-003-p02/IC40_exp.npy ...\n", "Reading /data/ana/analyses/ps_tracks/version-003-p02/GRL/IC40_exp.npy ...\n", "Energy PDF Ratio Model...\n", " * gamma = 4.0000 ...\n", "Signal Acceptance Model...\n", " * gamma = 4.0000 ...\n", "Setting up IC59...\n", "Reading /data/ana/analyses/ps_tracks/version-003-p02/IC59_MC.npy ...\n", "Reading /data/ana/analyses/ps_tracks/version-003-p02/IC59_exp.npy ...\n", "Reading /data/ana/analyses/ps_tracks/version-003-p02/GRL/IC59_exp.npy ...\n", "Energy PDF Ratio Model...\n", " * gamma = 4.0000 ...\n", "Signal Acceptance Model...\n", " * gamma = 4.0000 ...\n", "Setting up IC79...\n", "Reading /data/ana/analyses/ps_tracks/version-003-p02/IC79_MC.npy ...\n", "Reading /data/ana/analyses/ps_tracks/version-003-p02/IC79_exp.npy ...\n", "Reading /data/ana/analyses/ps_tracks/version-003-p02/GRL/IC79_exp.npy ...\n", "Energy PDF Ratio Model...\n", " * gamma = 4.0000 ...\n", "Signal Acceptance Model...\n", " * gamma = 4.0000 ...\n", "Setting up IC86_2011...\n", "Reading /data/ana/analyses/ps_tracks/version-003-p02/IC86_2011_MC.npy ...\n", "Reading /data/ana/analyses/ps_tracks/version-003-p02/IC86_2011_exp.npy ...\n", "Reading /data/ana/analyses/ps_tracks/version-003-p02/GRL/IC86_2011_exp.npy ...\n", "<- /data/user/mrichman/csky_cache/ana//IC86_2011.subanalysis.version-003-p02.npy \n", "Setting up IC86v3_2012_2017...\n", "Reading /data/ana/analyses/ps_tracks/version-003-p02/IC86_2012_MC.npy ...\n", "Reading /data/ana/analyses/ps_tracks/version-003-p02/IC86_2012_exp.npy ...\n", "Reading /data/ana/analyses/ps_tracks/version-003-p02/IC86_2013_exp.npy ...\n", "Reading /data/ana/analyses/ps_tracks/version-003-p02/IC86_2014_exp.npy ...\n", "Reading /data/ana/analyses/ps_tracks/version-003-p02/IC86_2015_exp.npy ...\n", "Reading /data/ana/analyses/ps_tracks/version-003-p02/IC86_2016_exp.npy ...\n", "Reading /data/ana/analyses/ps_tracks/version-003-p02/IC86_2017_exp.npy ...\n", "Reading /data/ana/analyses/ps_tracks/version-003-p02/GRL/IC86_2012_exp.npy ...\n", "Reading /data/ana/analyses/ps_tracks/version-003-p02/GRL/IC86_2013_exp.npy ...\n", "Reading /data/ana/analyses/ps_tracks/version-003-p02/GRL/IC86_2014_exp.npy ...\n", "Reading /data/ana/analyses/ps_tracks/version-003-p02/GRL/IC86_2015_exp.npy ...\n", "Reading /data/ana/analyses/ps_tracks/version-003-p02/GRL/IC86_2016_exp.npy ...\n", "Reading /data/ana/analyses/ps_tracks/version-003-p02/GRL/IC86_2017_exp.npy ...\n", "<- /data/user/mrichman/csky_cache/ana//IC86v3_2012_2017.subanalysis.version-003-p02.npy \n", "Done.\n" ] } ], "source": [ "ana = cy.get_analysis(cy.selections.repo, 'version-003-p02', cy.selections.PSDataSpecs.ps_10yr, dir=ana_dir)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Taken together, this is just a lot of data." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1134451, array([ 36900, 107011, 93133, 136244, 761163]))" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n_evs = np.array([len(a.data) for a in ana.anas])\n", "n_ev = np.sum(n_evs)\n", "n_ev, n_evs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So instead we'll do our test calculations with just the 2011 dataset, which is a little over 10% of the total 10yr ensemble:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Setting up Analysis for:\n", "IC86_2011\n", "Setting up IC86_2011...\n", "<- /data/user/mrichman/csky_cache/ana//IC86_2011.subanalysis.npy \n", "Done.\n" ] } ], "source": [ "ana11 = cy.get_analysis(cy.selections.repo, cy.selections.PSDataSpecs.ps_2011, dir=ana_dir)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Of course, we'll also need a catalog. Let's just make one up, with 1k sources:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "N = 1000\n", "np.random.seed(0)\n", "src = cy.utils.Sources(\n", " ra=np.random.uniform(0, 2*np.pi, N),\n", " dec=np.arcsin(np.random.uniform(-1, 1, N)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can optionally include additional arrays of per-source `extension` (circular Gaussian, in radians) and `weight`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll quickly double check that the catalog is in fact random:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "src_map = hl.heal.hist(512, src.dec, src.ra)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots (subplot_kw=dict (projection='aitoff'))\n", "sp = cy.plotting.SkyPlotter(pc_kw=dict(cmap='Greys', vmin=0))\n", "mesh, cb = sp.plot_map(ax, np.where(src_map.map>0, src_map.map, np.nan), n_ticks=2)\n", "kw = dict(color='.5', alpha=.5)\n", "sp.plot_gp(ax, lw=.5, **kw)\n", "sp.plot_gc(ax, **kw)\n", "ax.grid(**kw)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This setup should be basically all you need. We'll leave it as an exercise for the reader to show that the compute time per trial scales approximately linearly with both $N_\\text{events}$ and $N_\\text{sources}$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Background trials" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We start by constructing a trial runner. Note that we're restricting the bandwidth from which signal events are drawn; this may be a premature optimization, but in principle this cuts down on RAM usage and CPU time taken by the signal injector." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "timer = cy.timing.Timer()\n", "time = timer.time" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "IC86_2011 100%. \n" ] } ], "source": [ "with time('trial runner construction'):\n", " tr = cy.get_trial_runner(src=src, ana=ana11, sindec_bandwidth=np.radians(.1), mp_cpus=20)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's start with 200 trials:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Performing 200 background trials using 20 cores:\n", " 200/200 trials complete. \n" ] } ], "source": [ "with time('bg trials (200)'):\n", " bg = cy.dists.Chi2TSD(tr.get_many_fits(200, seed=1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ok, this timing is manageable, so we flesh out the distribution a little more:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Performing 800 background trials using 20 cores:\n", " 800/800 trials complete. \n" ] } ], "source": [ "with time('bg trials (+800)'):\n", " bg += cy.dists.Chi2TSD(tr.get_many_fits(800, seed=2))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We check the summary properties:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Chi2TSD(1000 trials, eta=0.534, ndof=1.118, median=0.012 (from fit 0.010))\n", "Chi2TSD from 1000 trials:\n", " eta = 0.534\n", " ndof = 1.118\n", " loc = 0.000\n", " scale = 0.847\n", "Thresholds from trials:\n", " median = 0.012\n", " 1 sigma = 1.06\n", " 2 sigma = 3.73\n", " 3 sigma = 8.05\n", " 4 sigma = 14.04\n", " 5 sigma = 21.71\n", "Thresholds from fit:\n", " median = 0.010\n", " 1 sigma = 1.06\n", " 2 sigma = 3.73\n", " 3 sigma = 8.05\n", " 4 sigma = 14.04\n", " 5 sigma = 21.71\n" ] } ], "source": [ "print(bg)\n", "print(bg.description)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And then plot the distribution:" ] }, { "cell_type": "code", "execution_count": 82, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "h = bg.get_hist(bins=30)\n", "hl.plot1d(ax, h, crosses=True, label='{} bg trials'.format(bg.n_total))\n", "\n", "x = h.centers[0]\n", "norm = h.integrate().values\n", "ax.semilogy(x, norm * bg.pdf(x), lw=1, ls='--',\n", " label=r'$\\chi^2[{:.2f}\\text{{dof}},\\ \\eta={:.3f}]$'.format(bg.ndof, bg.eta))\n", "\n", "ax.set_xlabel(r'TS')\n", "ax.set_ylabel(r'number of trials')\n", "ax.legend()\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Sensitivity" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we confirm that the signal injector does anything at all:" ] }, { "cell_type": "code", "execution_count": 83, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 3.54 s, sys: 31.8 ms, total: 3.57 s\n", "Wall time: 3.56 s\n" ] }, { "data": { "text/plain": [ "[25.265407836196488, 168.1254497348161, 2.2607036848910664]" ] }, "execution_count": 83, "metadata": {}, "output_type": "execute_result" } ], "source": [ "with time('single signal trial'):\n", " print(tr.get_one_fit(n_sig=100, seed=1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Seems legit. Now for sensitivity:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Start time: 2019-07-26 21:23:14.684362\n", "Using 20 cores.\n", "* Starting initial scan for 90% of 20 trials with TS >= 0.012...\n", " n_sig = 10.000 ... frac = 0.70000\n", " n_sig = 20.000 ... frac = 0.80000\n", " n_sig = 30.000 ... frac = 0.95000\n", "* Generating batches of 200 trials...\n", "n_trials | n_inj 0.00 15.00 30.00 45.00 60.00 | n_sig(relative error)\n", "200 | 45.0% 81.0% 95.5% 99.5% 99.5% | 22.450 (+/- 5.4%) [spline]\n", "End time: 2019-07-26 21:28:50.559238\n", "Elapsed time: 0:05:35.874876\n" ] } ], "source": [ "with time('sensitivity'):\n", " sens = tr.find_n_sig(\n", " bg.median(), 0.9,\n", " n_sig_step=10,\n", " first_batch_size=20,\n", " batch_size=200,\n", " # 10% tolerance -- let's get an estimate quick!\n", " tol=.1,\n", " # number of signal signal strengths (default 6, i'm really tryina rush here)\n", " n_batches=5\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a flux, this gives:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2.4410190834500614e-11" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tr.to_E2dNdE(sens, E0=100, unit=1e3) # TeV/cm2/s @ 100TeV" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Timing summary" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "trial runner construction | 0:00:19.832247\n", "bg trials (200) | 0:00:58.479316\n", "bg trials (+800) | 0:03:33.984594\n", "sensitivity | 0:05:35.876342\n" ] } ], "source": [ "print(timer)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Closing remarks" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Stacking is unavoidably computationally complex. In csky, we try to make it as fast as possible using the following optimizations:\n", "\n", "* The signal space PDF (including scrambled signal space PDF, if signal subtraction is desired) is computed in C++.\n", "* Only event-source pairs within $n\\,\\sigma$ of each other (default: $5\\sigma$) are computed in detail.\n", "* Included event-source pairs are managed using sparse matrices to dramatically reduce RAM usage. This is enabled automatically any time multiple sources are given." ] } ], "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": "3.7.5" } }, "nbformat": 4, "nbformat_minor": 4 }