{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# The parameters of pyqz" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "pyqz is designed to be easy and quick to use, but without withholding any information from the user. As such, all parameters of importance for deriving the estimates of ``LogQ`` and ``Tot[O]+12`` can be modified via dedicated keywords. Here, we present some basic examples to clarify what does what. In addition to these examples, the documentation also contains a detailed list of the functions of pyqz, along with a brief description of each keyword.\n", "\n", "First things first, let's import pyqz and the Image module to display the figures." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import pyqz\n", "import pyqz.pyqz_plots as pyqzp\n", "\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Parameter 1: ``srs``" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "``srs`` defines the **size of the random sample** of line fluxes generated by pyqz. This is an essential keyword to the propagation of observational errors associated with each line flux measurements. In other words, ``srs`` is the number of discrete estimates of the probability density function (in the {``LogQ`` vs. ``Tot[O]+12``} plane) associated with one diagnostic grid. \n", "\n", "Hence, the joint probability function density function (combining $n$ diagnostic grids) will be reconstructed via a Kernel Density Estimation routine from $n\\cdot$``srs`` points. ``srs=400`` is the default value, suitable for error levels of $\\sim$5%. We suggest ``srs=800`` for errors at the 10%-15% level. Basically, larger errors result in wider probability density peaks, and thus require more ``srs`` points to be properly discretized - at the cost of additional computation time of course ! Try changing the value of ``my_srs`` in the example below, and watch the number of black dots vary accordingly in the KDE diagram." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " \n", "--> Received 1 spectrum ...\n", "--> Dealing with them one at a time ... be patient now !\n", " (no status update until I am done ...)\n", " \n", "All done in 0:00:00.312550\n" ] }, { "data": { "image/png": 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IiIiIKAEwOCMiIiIiIkoADM6IiIiIiIgSAIMzIiIiIiKiBMDgjIiIiIiIKAEwOCMiIiIi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vdttClN0yxBmV6OWFFRQUhICNnZ2cydO5eKzqf43aZyy+bRGeeu7GkW4Addw831jTkFJrp168Yv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\nJXM6nWwxI6KIGJwRERHluFyak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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "my_srs = 800\n", "pyqz.get_global_qz(np.array([[ 1.00e+00, 5.00e-02, 2.38e+00, 1.19e-01, 5.07e+00, 2.53e-01, \n", " 5.67e-01, 2.84e-02, 5.11e-01, 2.55e-02, 2.88e+00, 1.44e-01]]),\n", " ['Hb','stdHb','[OIII]','std[OIII]','[OII]+','std[OII]+',\n", " '[NII]','std[NII]','[SII]+','std[SII]+','Ha','stdHa'],\n", " ['[NII]/[OII]+;[OIII]/[SII]+'], \n", " ids = ['NGC_5678'],\n", " srs = my_srs,\n", " KDE_pickle_loc = './examples/',\n", " KDE_method = 'multiv',\n", " KDE_qz_sampling=201j,\n", " struct='pp',\n", " sampling=1)\n", "\n", "# And use pyqz_plots.plot_global_qz() to display the result\n", "import glob\n", "fn = glob.glob('./examples/*NGC_5678*.pkl')\n", "\n", "pyqzp.plot_global_qz(fn[0], show_plots = True, save_loc = './examples', do_all_diags = False)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Parameter 2: ``KDE_method``" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This keyword specifies the Kernel Density Estimation routine used to reconstruct the individual and joint probability density functions in the {``LogQ`` vs. ``Tot[O]+12``} plane. It can be either ``gauss`` to use ``gaussian_kde`` from the ``scipy.stats`` module, or ``multiv`` to use ``KDEMultivariate`` from the ``statsmodels`` package. \n", "\n", "The former option is 10-100x faster, but usually results in less accurate results if different diagnostic grids disagree. The underlying reason is that with ``gaussian_kde``, the kernel bandwidth cannot be explicitly set individually for the ``LogQ`` and ``Tot[O]+12`` directions, so that the function tends to over-smooth the distribution. ``KDEMultivariate`` should be preferred as the bandwidth of the kernel is set individually for both the ``LogQ`` and ``Tot[O]+12`` directions using Scott's rule, scaled by the standard deviation of the distribution along these directions. \n", "\n", "In the example below, we insert some error in the [OII] line flux - thereby creating a mismatch between the different line ratio space estimates. Switch ``my_method`` from ``'gauss'`` to ``'multiv'``, and watch how the joint PDF (shown as shades of gray) traces the distribution of black dots in a significantly worse/better manner." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " \n", "--> Received 1 spectrum ...\n", "--> Dealing with them one at a time ... be patient now !\n", " (no status update until I am done ...)\n", " \n", "All done in 0:00:00.561540\n" ] }, { "data": { "image/png": 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OqDdjcEZEREREROQHGJwRERERERH5AQZnREREREREfoDBGRERERERkR9gcEZEREREROQH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CIsvUgRlt7Z3ZltM7szO+f3x907zMyWmaXs7LLf9+vFa/bOnblzZl1n7rnnW06d8oSF5+fnl9jv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\nyJAh9OvXjxtuuIFPPvkEgMWLFzNlyhQA37uIiISOgjMREZF2ZP369Sxdu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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "my_method = 'gauss'\n", "pyqz.get_global_qz(np.array([[ 1.00e+00, 5.00e-02, 2.38e+00, 1.19e-01, 2.07e+00, 2.53e-01, \n", " 5.67e-01, 2.84e-02, 5.11e-01, 2.55e-02, 2.88e+00, 1.44e-01]]),\n", " ['Hb','stdHb','[OIII]','std[OIII]','[OII]+','std[OII]+',\n", " '[NII]','std[NII]','[SII]+','std[SII]+','Ha','stdHa'],\n", " ['[NII]/[SII]+;[OIII]/[SII]+','[NII]/[OII]+;[OIII]/[OII]+'], \n", " ids = ['NGC_09'],\n", " srs = 400,\n", " KDE_pickle_loc = './examples/',\n", " KDE_method = my_method,\n", " KDE_qz_sampling=201j,\n", " struct='pp',\n", " sampling=1)\n", "\n", "# And use pyqz_plots.plot_global_qz() to display the result\n", "import glob\n", "fn = glob.glob('./examples/*NGC_09*%s*.pkl' % my_method)\n", "\n", "pyqzp.plot_global_qz(fn[0], show_plots = True, save_loc = './examples', do_all_diags = False)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Parameter 3: ``KDE_qz_sampling``" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This sets the sampling of the {``LogQ`` vs. ``Tot[O]+12``} plane, when reconstructing the individual and global PDFs. Set to ``101j`` by default (i.e. a grid with 101$\\cdot$101 = 10201 sampling nodes), datasets with small errors ($<$5%) could benefit from using twice this resolution for better results (i.e. ``KDE_qz_sampling=201j``). Resulting in a longer processing time of course. In the following example, the influence of ``KDE_qz_sampling`` can be seen in the size of the resolution elements of the joint PDF map, as well as the smoothness of the (orange) contour at 0.61%." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " \n", "--> Received 1 spectrum ...\n", "--> Dealing with them one at a time ... be patient now !\n", " (no status update until I am done ...)\n", " \n", "All done in 0:00:00.120194\n" ] }, { "data": { "image/png": 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sEzndMh5pjf5mZd4M1EhKWS2lLJFSVkNJi7RLKR2W946IiIiIKAlFIy0y0YWS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\nL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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "my_qz_sampling = 101j\n", "pyqz.get_global_qz(np.array([[ 1.00e+00, 5.00e-02, 2.38e+00, 1.19e-01, 5.07e+00, 2.53e-01, \n", " 5.67e-01, 2.84e-02, 5.11e-01, 2.55e-02, 2.88e+00, 1.44e-01]]),\n", " ['Hb','stdHb','[OIII]','std[OIII]','[OII]+','std[OII]+',\n", " '[NII]','std[NII]','[SII]+','std[SII]+','Ha','stdHa'],\n", " ['[NII]/[OII]+;[OIII]/[SII]+'], \n", " ids = ['NGC_00'],\n", " srs = 400,\n", " KDE_pickle_loc = './examples/',\n", " KDE_method = 'multiv',\n", " KDE_qz_sampling=my_qz_sampling,\n", " struct='pp',\n", " sampling=1)\n", "\n", "# And use pyqz_plots.plot_global_qz() to display the result\n", "import glob\n", "fn = glob.glob('./examples/*NGC_00*.pkl')\n", "\n", "pyqzp.plot_global_qz(fn[0], show_plots = True, save_loc = './examples/', do_all_diags = False)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The other parameters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Most of the other parameters ought to be straightforward to understand (e.g. ``verbose``). To use the maximum number of cpus available when running pyqz, set ``nproc = -1``. \n", "\n", "Check the page the functions of pyqz in the docs for more details." ] } ], "metadata": { "celltoolbar": "Raw Cell Format", "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": "2.7.13" } }, "nbformat": 4, "nbformat_minor": 1 }