{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# EGS" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# EGS Photometric Redshifts - V1 (20180608)\n", "\n", "EGS/master_catalogue_egs_20180501_photoz_20180608.fits\n", "\n", "## Key information\n", "\n", "#### Masterlist used:\n", "dmu1/dmu1_ml_EGS/data/master_catalogue_egs_20180501.fits\n", "\n", "\n", "#### Spectroscopic redshift sample used:\n", "dmu23/dmu23_EGS/data/EGS-specz-v2.1_hedam.csv\n", "\n", "#### Templates used:\n", "\n", "- EAZY Default\n", "- Atlas of Galaxy SEDs (Brown et al. 2014)\n", "- XMM-COSMOS Template library\n", "\n", "#### Filters used (Templates):\n", "\n", "\"Available\" corresponds to aperture magnitudes. Additional total magnitudes are present in the masterlist but not used during photo-z fitting.\n", "\n", "\n", "| Telescope / Instrument | Filter | Available | Used |\n", "|------------------------|----------------|-----------|------|\n", "| Subaru/HSC | suprime_g | Yes | Yes |\n", "| Subaru/HSC | suprime_g | Yes | Yes |\n", "| Subaru/HSC | suprime_i | Yes | Yes |\n", "| Subaru/HSC | suprime_z | Yes | Yes |\n", "| Subaru/HSC | suprime_y | Yes | Yes |\n", "| CFHT/Megacam | megacam_u | Yes | Yes |\n", "| CFHT/Megacam | megacam_g | Yes | Yes |\n", "| CFHT/Megacam | megacam_r | Yes | Yes |\n", "| CFHT/Megacam | megacam_i | Yes | Yes |\n", "| CFHT/Megacam | megacam_z | Yes | Yes |\n", "| HST/ACS | acs_f606w | Yes | Yes |\n", "| HST/ACS | acs_f814w | Yes | Yes |\n", "| HST/WFC3 | wfc3_f125w | Yes | Yes |\n", "| HST/WFC3 | wfc3_f160w | Yes | Yes |\n", "| Bok/90prime | 90prime_g | Yes | Yes |\n", "| Bok/90prime | 90prime_r | Yes | Yes |\n", "| Mayall/MOSAIC | mosaic_z | Yes | Yes |\n", "| Pan-STARRS1/Pan-STARRS1| gpc1_g | Yes | No |\n", "| Pan-STARRS1/Pan-STARRS1| gpc1_r | Yes | No |\n", "| Pan-STARRS1/Pan-STARRS1| gpc1_i | Yes | No |\n", "| Pan-STARRS1/Pan-STARRS1| gpc1_z | Yes | No |\n", "| Pan-STARRS1/Pan-STARRS1| gpc1_y | Yes | No |\n", "| CFHT/WIRCam | wircam_j | Yes | Yes |\n", "| CFHT/WIRCam | wircam_h | Yes | Yes |\n", "| CFHT/WIRCam | wircam_ks | Yes | Yes |\n", "| Palomar/WIRCS | wircs_j | Yes | Yes |\n", "| Palomar/WIRCS | wircs_k | Yes | Yes |\n", "| UKIDSS/WFCAM | ukidss_j | Yes | Yes |\n", "\n", "\n", "#### Additional Machine Learning Estimates\n", "\n", "For the main galaxy population, three additional Gaussian Process machine learning estimates were also incorporated into the Bayesian combination estimates. These were training using the combined spectroscopic sample - with cost-sensitive learning weights calibrated for the full field.\n", "The two sets of filters used were:\n", "- Megacam u, g, r, i, z\n", "- HSC g, r, i, z, y\n", "\n", "\n", "#### Additional selections applied:\n", " - In order to have a fully calibrated redshift estimate, sources must have a magnitude measurement in any of the optical r-bands.\n", " - Sources must also be detected in 4 bands at different wavelengths for a redshift to have been estimated (i.e. multiple r-band detections count only as one), including 3 optical bands (b -> y). Multiple detections in similar optical bands are not counted.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plots for diagnostics and quality checking " ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/software/local/lib64/python2.7/site-packages/h5py/__init__.py:36: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n", " from ._conv import register_converters as _register_converters\n" ] } ], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import properscoring as ps\n", "from astropy.table import Table\n", "from scipy.stats import ks_2samp\n", "import h5py as h\n", "import matplotlib as mpl\n", "import corner\n", "\n", "from astropy.convolution import Gaussian1DKernel, convolve\n", "\n", "def pz2d_stack(pz, zspec, zgrid, smooth=3):\n", " \"\"\" Build a 2D stack of the photometric redshift P(z) predictions\n", " \n", " Inputs\n", " ------\n", " \n", " pz : 2D array, (N x M)\n", " Photo-z PDF array of N sources with M redshift steps\n", " zspec : array, len(N)\n", " Corresponding spectroscopic redshifts for the N sources\n", " zgrid : array, len(M)\n", " Redshift grid on which the redshift PDFs are samples\n", " smooth : int\n", " Number of redshift bins along which to smooth the stacked PDF\n", " \n", " \"\"\"\n", " kernel = Gaussian1DKernel(smooth)\n", " photoz_stack = np.zeros((len(zgrid), len(zgrid)))\n", "\n", " for iz, z in enumerate(zspec):\n", " znearest = np.argmin(np.abs(z - zgrid))\n", "\n", " # Axis 0 = zspec, axis 1 = photoz\n", " pdf = pz[iz, :]\n", " pdf[np.isnan(pdf)] = 0.\n", " pdf[np.isinf(pdf)] = 0.\n", "\n", " #print('{0} {1}'.format(z, zgrid[znearest]))\n", " photoz_stack[znearest,:] += pdf\n", " \n", "\n", " photoz_stack /= np.trapz(photoz_stack, zgrid, axis=1)[:, None]\n", " photoz_stack[np.isnan(photoz_stack)] = 0.\n", "\n", " photoz_stack_smoothed = np.zeros((len(zgrid), len(zgrid)))\n", " for i in range(len(photoz_zgrid)):\n", " photoz_stack_smoothed[:,i] = convolve(photoz_stack[:,i], kernel)\n", " \n", " return photoz_stack_smoothed.T\n", "\n", "def calcStats(photoz, specz):\n", " pzgood = (photoz >= 0.)\n", " szgood = (specz >= 0.)\n", " cut = np.logical_and(pzgood, szgood)\n", " \n", " pc_pzbad = (len(photoz) - float(pzgood.sum())) / len(photoz)*100.\n", "\n", " photoz = photoz[cut]\n", " specz = specz[cut]\n", " \n", " dz = photoz - specz\n", " \n", " sigma_all = np.sqrt( np.sum((dz/(1+specz))**2) / float(len(dz)))\n", " nmad = 1.48 * np.median( np.abs((dz - np.median(dz)) / (1+specz)))\n", " #nmad = 1.48 * np.median( np.abs(dz) / (1+specz))\n", " bias = np.median(dz/(1+specz))\n", " \n", " ol1 = (np.abs(dz)/(1+specz) > 0.2 )\n", " OLF1 = np.sum( ol1 ) / float(len(dz))\n", " sigma_ol1 = np.sqrt( np.sum((dz[np.invert(ol1)]/(1+specz[np.invert(ol1)]))**2) / float(len(dz[np.invert(ol1)])))\n", " \n", " ol2 = (np.abs(dz)/(1+specz) > 5*nmad )\n", " OLF2 = np.sum( ol2 ) / float(len(dz))\n", " sigma_ol2 = np.sqrt( np.sum((dz[np.invert(ol2)]/(1+specz[np.invert(ol2)]))**2) / float(len(dz[np.invert(ol2)])))\n", " KSscore = ks_2samp(specz, photoz)[0]\n", " \n", " #print('Sigma_all: {0:.3f}'.format(sigma_all))\n", " #print('Sigma_NMAD: {0:.3f}'.format(nmad))\n", " #print('Bias: {0:.3f}'.format(bias))\n", " \n", " #print('OLF: Def1 = {0:.3f} Def2 = {1:0.3f}'.format(OLF1, OLF2))\n", " #print('Sigma_OL: Def 1 = {0:.3f} Def2 = {1:0.3f}'.format(sigma_ol1, sigma_ol2))\n", " #print('KS: {0:.3f}'.format(KSscore))\n", "\n", " return [sigma_all, nmad, bias, OLF1, sigma_ol1, OLF2, sigma_ol2, KSscore, pc_pzbad]\n", "\n", "def calc_HPDciv(pz, zgrid, specz, dz = 0.005):\n", " dz = np.diff(zgrid[:2])\n", "\n", " i_zspec = np.argmin((np.abs(specz[:,None] - zgrid[None,:])), axis=1)\n", " pz_s = pz[np.arange(len(i_zspec)), i_zspec]\n", " mask = (pz < pz_s[:, None])\n", " ipz_masked = np.copy(pz)\n", " ipz_masked[mask] *= 0.\n", "\n", " CI = np.trapz(ipz_masked, zgrid, axis=1) / np.trapz(pz, zgrid, axis=1)\n", "\n", " return CI\n", "\n", "def calc_ci_dist(pz, zgrid, specz):\n", " ci_pdf = calc_HPDciv(pz, zgrid, specz)\n", " nbins = 100\n", " hist, bin_edges = np.histogram(ci_pdf, bins=nbins, range=(0,1), normed=True)\n", " cumhist = np.cumsum(hist)/nbins\n", " bin_max = 0.5*(bin_edges[:-1]+bin_edges[1:])\n", " \n", " return cumhist, bin_max\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "photometry = Table.read('master_catalogue_egs_20180501_processed.fits.mod')\n", "photoz = Table.read('full/photoz_all_merged.fits')\n", "\n", "best = np.abs(np.array([photoz['chi_r_eazy'], photoz['chi_r_atlas'],photoz['chi_r_cosmos']])).min(0)\n", "good = np.logical_and(best != 99., photoz['chi_r_stellar'] > 0.)\n", "\n", "z_spec = photometry['z_spec']\n", "AGN = photometry['AGN']\n", "\n", "zs_gal = np.logical_and(z_spec >= 0, AGN == 0)\n", "zs_agn = np.logical_and(z_spec >= 0, AGN == 1)\n", "\n", "photoz_hdf = h.File('full/pz_all_hb.hdf', mode='r')\n", "#photoz_hdf = h.File('../XMM-LSS/full/pz_all_hb.hdf', mode='r')\n", "photoz_pdf = photoz_hdf['Pz']\n", "photoz_zgrid = photoz_hdf['zgrid'][:]\n", "\n", "#photometry = Table.read('../XMM-LSS/xmm-lss_processed.fits')\n", "#photoz = Table.read('../XMM-LSS/full/photoz_all_merged.fits')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### $\\chi^{2}$ Properties\n", "\n", "#### Distribution of normalised $\\chi^{2}$ \n", "Due to the number of filters used per source varying between template sets and between sources themselves, in the following plots we use a normalised $\\chi^{2}$ defined as $\\chi^{2}_{\\rm{r}} = \\chi^{2} / (N_{\\rm{filt}}-1)$. However we note this is not the formal reduced $\\chi^{2}$ and therefore should not necessarily be used to judge the goodness-of-fit for individual sources." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZkAAAERCAYAAACpRtp7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\noyAjIiKxUZAREZHYKMiIiEhs/j/b4SiNgIibcAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Fig, Ax = plt.subplots(1)\n", "Ax.hist(np.log10(photoz['chi_r_eazy'][good]), bins=100, range=(-3,2.5), histtype='step', label='EAZY')\n", "Ax.hist(np.log10(photoz['chi_r_atlas'][good]), bins=100, range=(-3,2.5), histtype='step', label='Atlas')\n", "Ax.hist(np.log10(photoz['chi_r_cosmos'][good]), bins=100, range=(-3,2.5), histtype='step', label='XMM-COSMOS')\n", "#Ax.hist(np.log10(photoz['chi_r_stellar']), bins=100, range=(-3,2.5), histtype='step')\n", "\n", "\n", "Leg = Ax.legend(loc='upper right', prop={'size':10}, frameon=False)\n", "Ax.set_xlabel(r'$\\log_{10}\\chi^{2}_{\\rm{r}}$')\n", "Ax.set_ylabel('N')\n", "Ax.set_xlim([-2, 2.5])\n", "Fig.savefig('plots/dmu24_EGS_chi2_distributions.png', format='png', bbox_inches='tight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Galaxy/AGN vs stellar templates - $\\chi^{2}$ \n", "\n", "We now plot the distribution of 'Best' normalised $\\chi^{2}$ from the Galaxy/AGN template libraries vs the normalised $\\chi^{2}$ from fits to the Pickles library of stellar templates. Sources are split by apparent optical magnitude with the relative number of sources indicated in each panel." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:11: RuntimeWarning: invalid value encountered in log10\n", " # This is added back by InteractiveShellApp.init_path()\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAcwAAALICAYAAADyosANAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n6QspAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Fig, Ax = plt.subplots(3, 2, figsize=(6.5, 10))\n", "mag_lims = [16, 18, 20, 22, 24, 26, 28]\n", "\n", "for im in range(len(mag_lims)-1):\n", " ax = Ax.flatten()[im]\n", " ax.axes.set_aspect('equal')\n", " mag = np.logical_and(photometry['r_any_mag'] >= mag_lims[im], photometry['r_any_mag'] < mag_lims[im+1])\n", "\n", " fraction = (np.sum(mag*good) / np.sum(good).astype('float'))\n", " \n", " corner.hist2d(np.log10(best[good*mag]), np.log10(photoz['chi_r_stellar'])[good*mag], ax=ax, bins=50, \n", " plot_datapoints=True, plot_density=True)\n", " ax.plot([-3,3],[-3,3], zorder=10000, color='orange', lw=2, ls='--')\n", "\n", " ax.set_xlim([-2, 3])\n", " ax.set_ylim([-2, 3])\n", " \n", " ax.set_title('{0:d} < {1} < {2:d}'.format(mag_lims[im], '$r$',mag_lims[im+1]), size=10)\n", " ax.set_xlabel(r'$\\log_{10}\\chi^{2}_{\\rm{r, Star}}$')\n", " ax.set_ylabel(r'$\\log_{10}\\chi^{2}_{\\rm{r, Gal}}$')\n", " ax.text(2.8, -1.8, '{0:.1f}% of sources'.format(fraction*100),\n", " horizontalalignment='right', verticalalignment='bottom')\n", "\n", "Fig.tight_layout()\n", "Fig.savefig('plots/dmu24_EGS_chi2_galaxy_star_comparison.png', format='png', bbox_inches='tight')" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "### Photo-z vs Spec-z Visual Comparison\n", " \n", "As plots of photo-z vs spec-z are commonly presented in order to allow the visual inspection of the relative precision and biases of photo-z estimates, we provide a version here for reference. However, instead of choosing a single value to represent the photometric redshift (e.g. median or peak of the $P(z)$) we stack the full $P(z)$ of all the sources within each spectroscopic redshift bin." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "photoz_pdf_agn = np.zeros((zs_agn.sum(), photoz_pdf.shape[1]))\n", "\n", "for i,ia in enumerate(np.where(zs_agn)[0]):\n", " photoz_pdf_agn[i] = photoz_pdf[ia]\n", " \n", "\n", "photoz_pdf_gal = np.zeros((zs_gal.sum(), photoz_pdf.shape[1]))\n", "\n", "for i,ia in enumerate(np.where(zs_gal)[0]):\n", " photoz_pdf_gal[i] = photoz_pdf[ia]" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:44: RuntimeWarning: invalid value encountered in divide\n" ] } ], "source": [ "pz2d_gal = pz2d_stack(photoz_pdf_gal, z_spec[zs_gal], photoz_zgrid, 5)\n", "pz2d_agn = pz2d_stack(photoz_pdf_agn, z_spec[zs_agn], photoz_zgrid, 10) " ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgAAAAEbCAYAAACsgTw/AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Fig, Ax = plt.subplots(1, 2, figsize=(8,4))\n", "\n", "X, Y = np.meshgrid(photoz_zgrid, photoz_zgrid)\n", "\n", "Ax[0].pcolormesh(X, Y, pz2d_gal, cmap='magma_r', \n", " vmin=0, vmax=np.percentile(pz2d_gal, 99.9))\n", "\n", "# extent=[photoz_zgrid.min(), photoz_zgrid.max(), \n", "# photoz_zgrid.min(), photoz_zgrid.max()], \n", "\n", "Ax[1].pcolormesh(X, Y, pz2d_agn, cmap='magma_r', \n", " vmin=0, vmax=np.percentile(pz2d_agn, 99.9))\n", "\n", "Ax[0].set_title('Galaxies')\n", "Ax[1].set_title('AGN')\n", "\n", "Ax[0].set_xlim([0, 2]) #np.ceil(z_spec[zs_gal].max())])\n", "Ax[0].set_ylim([0, 2]) #np.ceil(z_spec[zs_gal].max())])\n", "\n", "Ax[1].set_xlim([0, np.ceil(z_spec[zs_agn].max())])\n", "Ax[1].set_ylim([0, np.ceil(z_spec[zs_agn].max())])\n", "\n", "\n", "for ax in Ax:\n", " ax.set_xlabel('$z_{spec}$', size=12)\n", " ax.set_ylabel('$z_{phot}$', size=12)\n", "\n", " ax.plot(photoz_zgrid, photoz_zgrid, color='0.5', lw=2)\n", " ax.plot(photoz_zgrid, photoz_zgrid + 0.15*(1+photoz_zgrid), color='0.5', ls='--')\n", " ax.plot(photoz_zgrid, photoz_zgrid - 0.15*(1+photoz_zgrid), color='0.5', ls='--')\n", " \n", "Fig.savefig('plots/dmu24_EGS_specz_vs_photz_pz.png', format='png', bbox_inches='tight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Photo-z Statistics\n", "\n", "Metrics for photometric redshift precision and accuracy are defined as in Duncan et al. (2018a, and references therein).\n", "\n", "| Metric | | Definition |\n", "|----------------|-------------|----------------------|\n", "|$\\sigma_{f}$ | Scatter - all galaxies | $\\text{rms}(\\Delta z / (1+z_{\\text{spec}}))$ |\n", "|$\\sigma_{\\text{NMAD}}$ | Normalised median absolute deviation | $1.48 \\times \\text{median} ( \\left | \\Delta z \\right | / (1+z_{\\text{spec}}))$ |\n", "|Bias | | $\\text{median} (\\Delta z )$|\n", "|O$_{f}$ | Outlier fraction | Outliers defined as $\\left | \\Delta z \\right | / (1+z_{\\text{spec}}) > 0.2$ |\n", "|$\\sigma_{\\text{O}_{f}}$ | Scatter excluding O$_{f}$ outliers | $ \\text{rms}[\\Delta z / (1+z_{\\text{spec}})]$ |\n", "|$\\overline{\\rm{CRPS}}$ | Mean continuous ranked probability score | $\\overline{\\rm{CRPS}} = \\frac{1}{N} \\sum_{i=1}^{N} \\int_{-\\infty}^{+\\infty} [ \\rm{CDF}_{i}(z) - \\rm{CDF}_{z_{s},i}(z)]^{2} dz$ |\n", "\n", "\n", "#### Quality statistics as a function of redshift\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "gal_z_binedges = np.linspace(0, np.percentile(z_spec[zs_gal],99), 15)\n", "agn_z_binedges = np.linspace(0, np.percentile(z_spec[zs_agn],99), 9)\n", "\n", "gal_z_bins = 0.5*(gal_z_binedges[:-1] + gal_z_binedges[1:])\n", "agn_z_bins = 0.5*(agn_z_binedges[:-1] + agn_z_binedges[1:])\n", "\n", "galaxy_statistics_vs_z = []\n", "galaxy_crps_vs_z = []\n", "\n", "for i, zmin in enumerate(gal_z_binedges[:-1]):\n", " zcut = np.logical_and(z_spec >= zmin, z_spec < gal_z_binedges[i+1])\n", " galaxy_statistics_vs_z.append(calcStats(photoz['z1_median'][zs_gal*zcut], z_spec[zs_gal*zcut]))\n", " \n", " pzs = photoz_pdf[zs_gal*zcut,:]\n", " zs = z_spec[zs_gal*zcut]\n", " galaxy_crps_vs_z.append(np.nanmean([ps.crps_ensemble(zs[i], \n", " forecasts=photoz_zgrid, \n", " weights=pzs[i]) for i in range(len(zs))]))\n", " \n", "galaxy_statistics_vs_z = np.array(galaxy_statistics_vs_z)\n", " \n", "agn_statistics_vs_z = []\n", "agn_crps_vs_z = []\n", "\n", "for i, zmin in enumerate(agn_z_binedges[:-1]):\n", " zcut = np.logical_and(z_spec >= zmin, z_spec < agn_z_binedges[i+1])\n", " agn_statistics_vs_z.append(calcStats(photoz['z1_median'][zs_agn*zcut], z_spec[zs_agn*zcut])) \n", "\n", " pzs = photoz_pdf[zs_agn*zcut,:]\n", " zs = z_spec[zs_agn*zcut]\n", " agn_crps_vs_z.append(np.nanmean([ps.crps_ensemble(zs[i], \n", " forecasts=photoz_zgrid, \n", " weights=pzs[i]) for i in range(len(zs))]))\n", " \n", "agn_statistics_vs_z = np.array(agn_statistics_vs_z) " ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWAAAAI4CAYAAABUVDNLAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ns3QAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Fig, Ax = plt.subplots(3,1, sharex=True, figsize=(5,8))\n", "\n", "Ax[0].plot(gal_z_bins, galaxy_statistics_vs_z[:,1], color='steelblue', lw=2, label='Galaxy')\n", "Ax[0].plot(agn_z_bins, agn_statistics_vs_z[:,1], color='firebrick', lw=2, label='AGN')\n", "Ax[0].set_ylabel(r'$\\sigma_{\\rm{NMAD}}$', size=12)\n", "\n", "Ax[1].plot(gal_z_bins, galaxy_statistics_vs_z[:,3], color='steelblue', lw=2, label='Galaxy')\n", "Ax[1].plot(agn_z_bins, agn_statistics_vs_z[:,3], color='firebrick', lw=2, label='AGN')\n", "Ax[1].set_ylabel(r'$\\rm{OLF}$')\n", "\n", "Ax[2].plot(gal_z_bins, galaxy_crps_vs_z, color='steelblue', lw=2, label='Galaxy')\n", "Ax[2].plot(agn_z_bins, agn_crps_vs_z, color='firebrick', lw=2, label='AGN')\n", "Ax[2].set_ylabel(r'$\\overline{\\rm{CRPS}}$')\n", "\n", "Leg = Ax[2].legend(loc='lower right', frameon=False)\n", "\n", "Ax[2].set_xlim([0, np.ceil(np.percentile(z_spec[zs_agn],99))])\n", "Ax[2].set_xlabel('$z_{spec}$', size=12)\n", "Tw = Ax[0].twiny()\n", "Tw.set_xlim([0, np.ceil(np.percentile(z_spec[zs_agn],99))])\n", "Tw.set_xlabel('$z_{spec}$', size=12)\n", "Ax[0].set_yscale('log')\n", "Ax[0].set_ylim([0.01,1])\n", "Ax[1].set_yscale('log')\n", "Ax[1].set_ylim([0.01,1])\n", "\n", "Fig.tight_layout()\n", "Fig.savefig('plots/dmu24_EGS_stats_vs_z.png', format='png', bbox_inches='tight')" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "#### Quality as a function of optical magnitude" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [ "zs_gal_mag = np.logical_and(z_spec >= 0, AGN == 0) * (photometry['r_any_mag'] > 0.)\n", "zs_agn_mag = np.logical_and(z_spec >= 0, AGN == 1) * (photometry['r_any_mag'] > 0.)\n", "\n", "gal_mag_binedges = np.linspace(*np.percentile(photometry['r_any_mag'][zs_gal_mag],[1,99.9]), num=15)\n", "agn_mag_binedges = np.linspace(*np.percentile(photometry['r_any_mag'][zs_agn_mag],[1,99.9]), num=6)\n", "\n", "gal_mag_bins = 0.5*(gal_mag_binedges[:-1] + gal_mag_binedges[1:])\n", "agn_mag_bins = 0.5*(agn_mag_binedges[:-1] + agn_mag_binedges[1:])\n", "\n", "galaxy_statistics_vs_mag = []\n", "galaxy_crps_vs_mag = []\n", "\n", "mag = photometry['r_any_mag']\n", "\n", "for i, mmin in enumerate(gal_mag_binedges[:-1]):\n", " mcut = np.logical_and(mag >= mmin, mag < gal_mag_binedges[i+1])\n", " galaxy_statistics_vs_mag.append(calcStats(photoz['z1_median'][zs_gal_mag*mcut], z_spec[zs_gal_mag*mcut]))\n", " \n", " pzs = photoz_pdf[zs_gal_mag*mcut,:]\n", " zs = z_spec[zs_gal_mag*mcut]\n", " galaxy_crps_vs_mag.append(np.nanmean([ps.crps_ensemble(zs[i], \n", " forecasts=photoz_zgrid, \n", " weights=pzs[i]) for i in range(len(zs))]))\n", " \n", "galaxy_statistics_vs_mag = np.array(galaxy_statistics_vs_mag)\n", "\n", "agn_statistics_vs_mag = []\n", "agn_crps_vs_mag = []\n", "\n", "for i, mmin in enumerate(agn_mag_binedges[:-1]):\n", " mcut = np.logical_and(mag >= mmin, mag < agn_mag_binedges[i+1])\n", " agn_statistics_vs_mag.append(calcStats(photoz['z1_median'][zs_agn_mag*mcut], z_spec[zs_agn_mag*mcut])) \n", "\n", " pzs = photoz_pdf[zs_agn_mag*mcut,:]\n", " zs = z_spec[zs_agn_mag*mcut]\n", " agn_crps_vs_mag.append(np.nanmean([ps.crps_ensemble(zs[i], \n", " forecasts=photoz_zgrid, \n", " weights=pzs[i]) for i in range(len(zs))]))\n", " \n", "agn_statistics_vs_mag = np.array(agn_statistics_vs_mag) " ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWAAAAI4CAYAAABUVDNLAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Fig, Ax = plt.subplots(3,1, sharex=True, figsize=(5,8))\n", "\n", "Ax[0].plot(gal_mag_bins, galaxy_statistics_vs_mag[:,1], color='steelblue', lw=2, label='Galaxy')\n", "Ax[0].plot(agn_mag_bins, agn_statistics_vs_mag[:,1], color='firebrick', lw=2, label='AGN')\n", "Ax[0].set_ylabel(r'$\\sigma_{\\rm{NMAD}}$', size=12)\n", "\n", "Ax[1].plot(gal_mag_bins, galaxy_statistics_vs_mag[:,3], color='steelblue', lw=2, label='Galaxy')\n", "Ax[1].plot(agn_mag_bins, agn_statistics_vs_mag[:,3], color='firebrick', lw=2, label='AGN')\n", "Ax[1].set_ylabel(r'$\\rm{OLF}$')\n", "\n", "Ax[2].plot(gal_mag_bins, galaxy_crps_vs_mag, color='steelblue', lw=2, label='Galaxy')\n", "Ax[2].plot(agn_mag_bins, agn_crps_vs_mag, color='firebrick', lw=2, label='AGN')\n", "Ax[2].set_ylabel(r'$\\overline{\\rm{CRPS}}$')\n", "\n", "Leg = Ax[2].legend(loc='upper left', frameon=False)\n", "\n", "#Ax[2].set_xlim([0, z_spec[zs_agn].max()])\n", "Ax[2].set_xlabel('$r$', size=12)\n", "Tw = Ax[0].twiny()\n", "Tw.set_xlim(Ax[2].get_xlim())\n", "Tw.set_xlabel('$r$', size=12)\n", "\n", "Ax[0].set_yscale('log')\n", "Ax[1].set_yscale('log')\n", "Ax[0].set_ylim([0.01, 1])\n", "Ax[1].set_ylim([0.001, 1])\n", "Ax[2].set_ylim([0, 0.6])\n", "\n", "Fig.tight_layout()\n", "Fig.savefig('plots/dmu24_EGS_stats_vs_mag.png', format='png', bbox_inches='tight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Accuracy of the photometric redshift probability distribution\n", "\n", "Following Duncan et al. (2017) we calibrate the accuracy of the redshift PDF by scaling the input PDFs to the hierarchical Bayesian combination depending on the optical magnitude of a source in the band chosen for calibration. The diagnostic plot which best illustrates the overall redshift PDF accuracy is the Q-Q plot ($\\hat{F}(c)$): \n", "\n", ">To quantify the over- or under-confidence of our photometric redshift estimates, we follow the example of Wittman et al. (2016) and calculate the distribution of threshold credible intervals, $c$, where the spectroscopic redshift is just included.\n", "For a set of redshift PDFs which perfectly represent the redshift uncertainty (e.g. 10% of galaxies have the true redshift within the 10% credible interval, 20% within their 20% credible interval, etc.), the expected distribution of $c$ values should be constant between 0 and 1.\n", "The cumulative distribution, $\\hat{F}(c)$, should therefore follow a straight 1:1 relation.\n", "Curves which fall below this expected 1:1 relation therefore indicate that there is overconfidence in the photometric redshift errors; the $P(z)$s are too sharp. - _Duncan et al. (2017)_" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAS4AAAFECAYAAACZL9N/AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/At23ifvHvai4QAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "colors = plt.cm.viridis(np.linspace(0, 1, len(gal_mag_bins)))\n", "\n", "cmap = mpl.cm.viridis\n", "norm = mpl.colors.Normalize(vmin=gal_mag_bins.min(), vmax=gal_mag_bins.max())\n", "\n", "mag = photometry['r_any_mag'][zs_gal]\n", "\n", "Fig, Ax = plt.subplots(1)\n", "for i, mmin in enumerate(gal_mag_binedges[:-1]):\n", " mcut = np.logical_and(mag >= mmin, mag < gal_mag_binedges[i+1])\n", " \n", " ci, bins = calc_ci_dist(photoz_pdf_gal[mcut,:], photoz_zgrid, z_spec[zs_gal][mcut])\n", " \n", " Ax.plot(bins, ci, color=colors[i], lw=2)\n", "\n", "cbax = Fig.add_axes([0.26, 1.02, 0.5, 0.05])\n", "CB = mpl.colorbar.ColorbarBase(cbax, cmap=cmap, norm=norm, orientation='horizontal')\n", "CB.set_label('r')\n", "\n", "Ax.set_aspect('equal')\n", "Ax.set_ylim([0,1])\n", "Ax.plot([0,1],[0,1], color='0.5', ls='dashed', lw=2)\n", "Ax.set_xlabel(r'$c$', size=12)\n", "Ax.set_ylabel(r'$\\hat{F}(c)$', size=12)\n", "Ax.text(0.1, 0.9, 'Galaxies', size=12, verticalalignment='top')\n", "Fig.savefig('plots/dmu24_EGS_pz_accuracy_gal.png', format='png', bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:98: RuntimeWarning: invalid value encountered in divide\n", "/software/local/lib64/python2.7/site-packages/numpy/lib/function_base.py:780: RuntimeWarning: invalid value encountered in greater_equal\n", " keep = (tmp_a >= first_edge)\n", "/software/local/lib64/python2.7/site-packages/numpy/lib/function_base.py:781: RuntimeWarning: invalid value encountered in less_equal\n", " keep &= (tmp_a <= last_edge)\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAS4AAAFECAYAAACZL9N/AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niuJyVHApiuJy/h8F6KjR1fhJuwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "colors = plt.cm.viridis(np.linspace(0, 1, len(agn_mag_bins)))\n", "\n", "cmap = mpl.cm.viridis\n", "norm = mpl.colors.Normalize(vmin=agn_mag_bins.min(), vmax=agn_mag_bins.max())\n", "\n", "mag = photometry['r_any_mag'][zs_agn]\n", "\n", "Fig, Ax = plt.subplots(1)\n", "for i, mmin in enumerate(agn_mag_binedges[:-1]):\n", " mcut = np.logical_and(mag >= mmin, mag < agn_mag_binedges[i+1])\n", " \n", " ci, bins = calc_ci_dist(photoz_pdf_agn[mcut,:], photoz_zgrid, z_spec[zs_agn][mcut])\n", " \n", " Ax.plot(bins, ci, color=colors[i], lw=2)\n", "\n", "#cbax = mpl.colorbar.make_axes(Ax.axes)\n", "cbax = Fig.add_axes([0.26, 1.02, 0.5, 0.05])\n", "CB = mpl.colorbar.ColorbarBase(cbax, cmap=cmap, norm=norm, orientation='horizontal')\n", "CB.set_label('r')\n", "\n", "Ax.set_aspect('equal')\n", "Ax.set_ylim([0,1])\n", "Ax.plot([0,1],[0,1], color='0.5', ls='dashed', lw=2)\n", "Ax.set_xlabel(r'$c$', size=12)\n", "Ax.set_ylabel(r'$\\hat{F}(c)$', size=12)\n", "Ax.text(0.1, 0.9, 'AGN', size=12, verticalalignment='top')\n", "Fig.savefig('plots/dmu24_EGS_pz_accuracy_agn.png', format='png', bbox_inches='tight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Checks for statistiscs on number of estimates with secondary peaks" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/software/local/lib64/python2.7/site-packages/astropy/table/column.py:954: RuntimeWarning: invalid value encountered in greater\n", " return getattr(self.data, op)(other)\n" ] } ], "source": [ "gal_mag = np.logical_and(AGN == 0, photometry['r_any_mag'] > 0.) * (photoz['z1_median'] >= 0)\n", "agn_mag = np.logical_and(AGN == 1, photometry['r_any_mag'] > 0.) * (photoz['z1_median'] >= 0)\n", "\n", "gal_mag_binedges = np.linspace(*np.percentile(photometry['r_any_mag'][gal_mag],[1,95]), num=30)\n", "agn_mag_binedges = np.linspace(*np.percentile(photometry['r_any_mag'][agn_mag],[1,95]), num=15)\n", "\n", "gal_mag_bins = 0.5*(gal_mag_binedges[:-1] + gal_mag_binedges[1:])\n", "agn_mag_bins = 0.5*(agn_mag_binedges[:-1] + agn_mag_binedges[1:])\n", "\n", "galaxy_frac_sec_peak = []\n", "\n", "mag = photometry['r_any_mag']\n", "\n", "for i, mmin in enumerate(gal_mag_binedges[:-1]):\n", " mcut = np.logical_and(mag >= mmin, mag < gal_mag_binedges[i+1])\n", " \n", " mpeaks = np.sum(photoz['z2_median'][mcut*gal_mag] > 0) / np.float(np.sum(mcut*gal_mag))\n", " \n", " galaxy_frac_sec_peak.append(mpeaks)\n", "\n", "galaxy_frac_sec_peak = np.array(galaxy_frac_sec_peak )\n", "\n", "agn_frac_sec_peak= []\n", "\n", "for i, mmin in enumerate(agn_mag_binedges[:-1]):\n", " mcut = np.logical_and(mag >= mmin, mag < agn_mag_binedges[i+1])\n", "\n", " mpeaks = np.sum(photoz['z2_median'][mcut*agn_mag] > 0) / np.float(np.sum(mcut*agn_mag))\n", " \n", " agn_frac_sec_peak.append(mpeaks)\n", " \n", "agn_frac_sec_peak = np.array(agn_frac_sec_peak) " ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:14: RuntimeWarning: invalid value encountered in divide\n", " \n", "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:17: RuntimeWarning: invalid value encountered in divide\n" ] } ], "source": [ "gal_mag = np.logical_and(AGN == 0, photometry['r_any_mag'] > 0.) * (photoz['z1_median'] >= 0)\n", "agn_mag = np.logical_and(AGN == 1, photometry['r_any_mag'] > 0.) * (photoz['z1_median'] >= 0)\n", "\n", "nfilts = np.arange(4,photoz['nfilt_eazy'].max())\n", "\n", "galaxy_frac_sec_peak_nf = []\n", "agn_frac_sec_peak_nf= []\n", "\n", "mag = photometry['r_any_mag']\n", "\n", "for i, n in enumerate(nfilts):\n", " mcut = (photoz['nfilt_eazy'] == n)\n", " \n", " mpeaks = np.sum(photoz['z2_median'][mcut*gal_mag] > 0) / np.float(np.sum(mcut*gal_mag))\n", " galaxy_frac_sec_peak_nf.append(mpeaks)\n", "\n", " mpeaks = np.sum(photoz['z2_median'][mcut*agn_mag] > 0) / np.float(np.sum(mcut*agn_mag))\n", " agn_frac_sec_peak_nf.append(mpeaks)\n", "\n", "\n", "galaxy_frac_sec_peak_nf = np.array(galaxy_frac_sec_peak_nf)\n", "agn_frac_sec_peak_nf = np.array(agn_frac_sec_peak_nf) " ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfUAAAEJCAYAAACNGL5zAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nWtSVUkqpEPH/1FTSa/+q3tsAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Fig, Ax = plt.subplots(1,2, sharey=True, figsize=(8,3.5))\n", "\n", "Ax[0].plot(gal_mag_bins, galaxy_frac_sec_peak, color='steelblue', lw=2, label='Galaxy')\n", "Ax[0].plot(agn_mag_bins, agn_frac_sec_peak, color='firebrick', lw=2, label='AGN')\n", "#Ax[0].set_ylabel(r'$\\sigma_{\\rm{NMAD}}$', size=12)\n", "\n", "Leg = Ax[0].legend(loc='upper left', frameon=False)\n", "\n", "#Ax[2].set_xlim([0, z_spec[zs_agn].max()])\n", "Ax[0].set_xlabel(r'$r$', size=12)\n", "Ax[1].set_xlabel(r'$N_{\\rm{filt}}$', size=12)\n", "Ax[0].set_ylabel('Fraction')\n", "#Tw = Ax.twiny()\n", "#Tw.set_xlim(Ax.get_xlim())\n", "#Tw.set_xlabel('$r$', size=12)\n", "\n", "Ax[1].plot(nfilts, galaxy_frac_sec_peak_nf, color='steelblue', lw=2, label='Galaxy')\n", "Ax[1].plot(nfilts, agn_frac_sec_peak_nf, color='firebrick', lw=2, label='AGN')\n", "Ax[0].set_ylim([0,1])\n", "#Ax[0.set_yscale('log').tight_layout()\n", "Fig.subplots_adjust(hspace=0, wspace=0)\n", "Fig.suptitle('Fraction of sources with secondary redshift peak')\n", "\n", "Fig.savefig('plots/dmu24_EGS_frac_2nd_peak_vs_mag.png', format='png', bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.15" } }, "nbformat": 4, "nbformat_minor": 2 }