{ "cells": [ { "cell_type": "markdown", "id": "c0479254", "metadata": {}, "source": [ "# Computing second-order clustering correlation functions\n", "\n", "In this notebook we compute the two-point correlation function of the galaxy overdensity field on a mock catalog and transform them to the second-order aperture statistics." ] }, { "cell_type": "code", "execution_count": 1, "id": "53ed7786", "metadata": {}, "outputs": [], "source": [ "from astropy.table import Table\n", "import numpy as np\n", "from matplotlib import pyplot as plt\n", "\n", "import orpheus" ] }, { "cell_type": "markdown", "id": "ba716d09", "metadata": {}, "source": [ "## Initialise the data catalog instance\n", "\n", "For this exercise we use a simplistic mock catalog built from the [Takahasi simulation suite](http://cosmo.phys.hirosaki-u.ac.jp/takahasi/allsky_raytracing) that traces two tomographic bins in a _Euclid_-like setup for the $n(z)$ and uses a linear galaxy bias. \n", "\n", "Let us first load the data and then plot the redshift distribution of the two tomographic bins.\n", "\n", "_Note: The funny names of the keys of the dict arise because we are using the same catalog for the computation of mixed correlators between positions and galaxy shapes._" ] }, { "cell_type": "code", "execution_count": 2, "id": "866cfe4a", "metadata": {}, "outputs": [], "source": [ "catname = \"data_g3l.npz\"" ] }, { "cell_type": "code", "execution_count": 3, "id": "0d818e1a", "metadata": {}, "outputs": [], "source": [ "mock = np.load(catname)" ] }, { "cell_type": "code", "execution_count": 4, "id": "a707062a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(mock['z_lens_true'],bins=np.linspace(0,2,81),histtype='step',lw=3,label='Z0')\n", "plt.hist(mock['z_source_true'],bins=np.linspace(0,2,81),histtype='step',lw=3,label='Z1')\n", "plt.xlabel(r'Redshift $z$')\n", "plt.ylabel('Counts')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "6186a27f", "metadata": {}, "source": [ "In order to not sample the galaxies to a realistic nbar, we subselect every tenth galaxy in each tomographic bin and then allocate a ``ScalarTracerCatalog`` instance with the concatenation of data within the two tomographic bins. " ] }, { "cell_type": "code", "execution_count": 5, "id": "ee247580", "metadata": {}, "outputs": [], "source": [ "fthin = 10\n", "\n", "pos1_z1_thinned = mock[\"x_lens\"][::fthin]\n", "pos1_z2_thinned = mock[\"x_source\"][::fthin]\n", "pos2_z1_thinned = mock[\"y_lens\"][::fthin]\n", "pos2_z2_thinned = mock[\"y_source\"][::fthin]" ] }, { "cell_type": "code", "execution_count": 6, "id": "d47568dc", "metadata": {}, "outputs": [], "source": [ "zbins = np.zeros(len(pos1_z1_thinned)+len(pos1_z2_thinned),dtype=int)\n", "zbins[len(pos1_z1_thinned):] = 1\n", "data = orpheus.ScalarTracerCatalog(pos1=np.append(pos1_z1_thinned, pos1_z2_thinned), \n", " pos2=np.append(pos2_z1_thinned, pos2_z2_thinned), \n", " tracer=np.ones(len(pos1_z1_thinned)+len(pos1_z2_thinned)), \n", " zbins=zbins)" ] }, { "cell_type": "markdown", "id": "2feadf84", "metadata": {}, "source": [ "## Initialise the random catalog instance\n", "\n", "Given the simple nature on how the mock data was created (i.e. there is just a binary mask with no further radial or angular selection) we can quite easily construct a random catalog ourselves. To do this we first estimate the angular mask of the catalog using the ``create_mask`` method of the ``ScalarCatalog`` instance and from infer $\\overline{n}_{\\mathrm{data}}$. In a second step, we use the ``orpheus``-internal ``FlatDataGrid_2D.samplePoints`` method on the instance of ``FlatDataGrid_2D``to poisson-sample points within the interior of the mask _(note that this class was initialised when estimating the mask of the catalog)_." ] }, { "cell_type": "code", "execution_count": 7, "id": "9c81c460", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.44354151260504204\n" ] } ], "source": [ "# Estimate the nbar of the data catalog using an estimate of the footprint area via the inferred mask\n", "data.create_mask(method='Density', pixsize=5.)\n", "footprint_area = np.sum(data.mask.data==0)*data.mask.dpix_1*data.mask.dpix_2\n", "nbar = data.ngal/footprint_area\n", "\n", "# Assuming a solely angular selection function for the data, we can quickly get a random catalog \n", "# by Poisson sampling points within the interior of the inferred mask.\n", "# To ensure reproducibility we fix a random state for the creation of the random catalog.\n", "rng_randcat = np.random.RandomState(seed=42)\n", "rand_1, rand_2 = data.mask.samplePoints(nbar=100*nbar, method='Poisson', rng=rng_randcat)\n", "\n", "print(nbar)" ] }, { "cell_type": "markdown", "id": "c303c6bb", "metadata": {}, "source": [ "We can now initialise the random catalog instance the same way as we did for the data one." ] }, { "cell_type": "code", "execution_count": 8, "id": "74c95e5f", "metadata": {}, "outputs": [], "source": [ "# Define tomographic bins for the random catalog s.t. the number density ratio is constant across tomographic bins\n", "nrand_z1 = int(np.sum(data.zbins==0)/data.ngal*len(rand_1))\n", "zbins_rand = np.zeros(len(rand_1), dtype=int)\n", "zbins_rand[nrand_z1:] = 1\n", "\n", "# Allocate the random catalog as an orpheus instance\n", "randoms = orpheus.ScalarTracerCatalog(pos1=rand_1, pos2=rand_2, tracer=np.ones_like(rand_1), zbins=zbins_rand)" ] }, { "cell_type": "markdown", "id": "7cda506c", "metadata": { "vscode": { "languageId": "bat" } }, "source": [ "As a sanity check let's overlay the inferred mask with the (thinned) data and randoms distribution." ] }, { "cell_type": "code", "execution_count": 9, "id": "e38c7085", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(data.mask.data, origin='lower',\n", " extent=[data.mask.pix1_lbounds[0], data.mask.pix1_lbounds[-1]+data.mask.dpix_1,\n", " data.mask.pix2_lbounds[0], data.mask.pix2_lbounds[-1]+data.mask.dpix_2])\n", "plt.scatter(data.pos1[data.zbins==0][::20], data.pos2[data.zbins==0][::20],s=0.1,color='red',label='Data')\n", "plt.scatter(randoms.pos1[randoms.zbins==0][::2000], randoms.pos2[randoms.zbins==0][::2000],s=0.1,color='cyan',label='Randoms')\n", "plt.legend(loc=\"upper right\", markerscale=10)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "2c85be4a", "metadata": {}, "source": [ "## Computation of the second-order clustering correlation function\n", "\n", "For computing the clustering correlation function we need to invoke the `NNCorrelation` class. In principle, it is only required to define a binning for the 2pcf (given by the range of the bins and the number of bins).\n", "\n", "**Notes**\n", "\n", "* Instead of the number of bins you can also specify the logarithmic bin-width `binsize`. However, the final value of `binsize` might differ slightly from the provided one as we fix the values for the binning range and then choose the largest possible value of `binsize` that is smaller or equal to the input value for `binsize`.\n", "\n", "* If no further parameters are passed, the default setup chooses some accelerations of the DoubleTree estimator which renders fairly accurate results for the 2pcf itself and percent-level accuracy for the aperture statistics. In case you want a different setup than the default results you can change the parameters of the parent `BinnedNPCF` class.\n", "\n", "* In contrast to the other NPCFs we place the tracers of the reduced catalogs not at the center-of-mass, but apply a random shift within the cell. I found that this greatly speeds up convergence (i.e. one can choose a fairly small ``rmin_pixsize``) using simple selection functions as presented here.\n", "**TODO: Could this become problematic in case of a highly variable selection function? How realistic is such a case?**" ] }, { "cell_type": "code", "execution_count": 10, "id": "b9352b12", "metadata": {}, "outputs": [], "source": [ "min_sep = 0.125\n", "max_sep = 256.\n", "verbosity = 2\n", "binsize=0.1\n", "tree_resos = [0., 0.25, 0.5, 1., 2.]\n", "rmin_pixsize = 10\n", "nthreads = 48" ] }, { "cell_type": "code", "execution_count": 11, "id": "a97cb191", "metadata": {}, "outputs": [], "source": [ "nncorr = orpheus.NNCorrelation(min_sep=min_sep,max_sep=max_sep,binsize=binsize, \n", " tree_resos=tree_resos, rmin_pixsize=rmin_pixsize, \n", " verbosity=verbosity, nthreads=nthreads)" ] }, { "cell_type": "markdown", "id": "77e085fe", "metadata": {}, "source": [ "Let us now compute the correlation function. For this we use the ``process`` method and we explictly pass the random catalog instance which triggers a computation of all (tomographic) dd/dr/rd/rr-paircounts, as well as their combination to xi using the Landy-Szalay estimator.\n", "\n", "_Note: Under the hood, this setup calls the private ``__compute_xi`` method. Be aware that upon calling the ``__compute_xi`` method, the pair-count attributes of the instance will have a different shape as xi. This is because they contain all dd/dr/rd/rr-combinations -- see the documentation within the ``__compute_xi``-method for further details._" ] }, { "cell_type": "code", "execution_count": 12, "id": "ae3eac23", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ ".........................................................................................................\n", "CPU times: user 25min 49s, sys: 4.93 s, total: 25min 54s\n", "Wall time: 50 s\n" ] } ], "source": [ "%%time\n", "nncorr.process(cat=data, cat_random=randoms)" ] }, { "cell_type": "markdown", "id": "df142227", "metadata": {}, "source": [ "Let us now plot the resulting 2pcfs. We can interpret the result as follows:\n", "* For the auto-tomographic correlations we see a stronger signal for the lower redshift bin. This is expected as we expect a stronger clustering at later times and this observation is not conceptually modified by the linear galaxy bias.\n", "* For the cross-tomographic correlations we observe that both give the same value and that they are consistent with zero. Again, the first observation should be fulfilled by construction while the second one arises as the tomographic bins are quite significantly separated in redshift.\n", "* For very small distances the correlation appears to be negative. This is not what I would expect. However, these scales are pretty small and are roughly of the pixel-size of the original overdensity field, so maybe those are pixel-related effects? Repeathing the 2pcf computation with treecorr _(using bin_slop = 0.1 to get a similarly small variance)_ I find the same behaviour, so this is most likely not due to the measurement code." ] }, { "cell_type": "code", "execution_count": 13, "id": "566cf1d4", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '$\\\\theta \\\\ \\\\xi(\\\\theta)$')" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.semilogx(nncorr.bin_centers_mean, nncorr.bin_centers_mean*nncorr.xi[0], 'b-', label='Z0 Z0')\n", "plt.semilogx(nncorr.bin_centers_mean, nncorr.bin_centers_mean*nncorr.xi[1], 'g-', label='Z0 Z1')\n", "plt.semilogx(nncorr.bin_centers_mean, nncorr.bin_centers_mean*nncorr.xi[2], 'c--', label='Z1 Z0')\n", "plt.semilogx(nncorr.bin_centers_mean, nncorr.bin_centers_mean*nncorr.xi[3], 'r-', label='Z1 Z1')\n", "plt.axhline(0,color='k',ls='--')\n", "plt.legend()\n", "plt.xlabel(r'Separation $\\theta$ [arcmin]')\n", "plt.ylabel(r\"$\\theta \\ \\xi(\\theta)$\")" ] }, { "cell_type": "markdown", "id": "033f5bd4", "metadata": {}, "source": [ "## Computation of the aperture statistics\n", "\n", "The integral transormation between the density 2PCF and their second-order aperture counts statistics can be done by calling the `NNCorrelatoin.computeNap2` method.\n", "\n", "**Notes**\n", "\n", "* In case you are only interested in obtaining the third-order aperture statistics, you can also directly call this method right after processing the shape catalog.\n", "\n", "* One should only trust the third-order aperture statistics for radii $R\\in[\\alpha\\,\\theta_{\\rm min}, \\beta\\,\\theta_{\\rm max}]$, where $\\alpha\\approx 5$ and $\\beta \\approx 0.125$. In the plot below this range is indicated by the dashed vertical lines.\n", "\n", "* Furthermore, the binning should be sufficiently fine, i.e. the value of the `GNNCorrelation.binsize` attribute should be less than `0.1` for an accuracy of about one per cent." ] }, { "cell_type": "code", "execution_count": 14, "id": "1e4fbf82", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 2.79 ms, sys: 989 µs, total: 3.77 ms\n", "Wall time: 3.68 ms\n" ] } ], "source": [ "%%time\n", "radii_ap = np.geomspace(1.,64.,24)\n", "Nap2 = nncorr.computeNap2(radii_ap)" ] }, { "cell_type": "code", "execution_count": 15, "id": "8dba84a7", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.loglog(radii_ap, Nap2[0], 'b-', label=\"Z0 Z0\")\n", "plt.loglog(radii_ap, Nap2[1], 'g-', label=\"Z0 Z1\")\n", "plt.loglog(radii_ap, Nap2[3], 'r-', label=\"Z1 Z1\")\n", "\n", "plt.xlabel(\"Aperture radius [arcmin]\")\n", "plt.ylabel(\"Second-order aperture counts statistics\")\n", "plt.legend(loc=\"upper right\")\n", "#plt.ylim(1e-8,None)" ] }, { "cell_type": "code", "execution_count": 17, "id": "d490ca9d", "metadata": {}, "outputs": [], "source": [ "# As we will need this result for mixed correlators of shapes and positions, we save this result.\n", "nncorr.saveinst(path_save=\"\", fname=\"nncorr\")" ] }, { "cell_type": "code", "execution_count": null, "id": "3399d54f", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "orpheus_devel", "language": "python", "name": "orpheus_devel" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.1" } }, "nbformat": 4, "nbformat_minor": 5 }