{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# An explanation of XGA's hierarchical clustering peak finder" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This section aims to explain how the XGA hierarchical clustering peak finder works, rather than how to actually use it. By the end of this you will hopefully have an understanding of the various steps it goes through to measure a peak for an extended source." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from xga.sources import GalaxyCluster\n", "\n", "from astropy.units import Quantity, pix\n", "from matplotlib import pyplot as plt\n", "import numpy as np\n", "from astropy.visualization import LogStretch, MinMaxInterval, ImageNormalize, LinearStretch" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Point source disclaimer" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This method hasn't been properly tested on point sources, but you should not expect it to work well/at all. The basic premise of this peak finder is that you're looking for the peak of the largest collection of bright pixels, which if you're investigating a cluster is most likely to be the intra-cluster medium emission. \n", "\n", "For point sources however a poorly removed extended source, or just a cluster of vaguely bright pixels could throw off this method. As such the `PointSource` class peak finding is done with the simple method of just looking for the brightest pixel, using the `simple_peak` [method]((../../xga.products.html#xga.products.phot.RateMap.simple_peak))." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Why find X-ray peaks?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For galaxy cluster analysis it can be difficult to define the 'centre' of a given cluster, but it is crucial that we measure some kind of value for the centre, especially when we wish to produce radial profiles of cluster properties. Different methods are used by different analysis teams, which vary depending on the wavelength of the observation; in optical observations, for instance, the [brightest cluster galaxy (BCG)](https://www.sdss.org/dr15/manga/manga-target-selection/ancillary-targets/brightest-cluster-galaxies/) is often used as a proxy for the centre. \n", "\n", "X-ray astronomers have a distinct advantage here, as the photons we observe trace the actual intra-cluster medium, and so we are in effect tracing the potential well of the halo. As such, the X-ray peak of the cluster is considered a good proxy for the centre (see [Yan et al. (2020)](https://arxiv.org/ct?url=https%3A%2F%2Fdx.doi.org%2F10.1093%2Fmnras%2Fstaa295&v=a899512c) for a comparison of various measures of the centre of cluster using hydrodynamical simulations), and has been used to 'correct' miscentering biases encountered when stacking weak lensing profiles in the DES Y1 cluster cosmology analysis ([Zhang et al. (2019)](https://arxiv.org/ct?url=https%3A%2F%2Fdx.doi.org%2F10.1093%2Fmnras%2Fstz1361&v=4dfe0ea6)).\n", "\n", "Once we know the location of the centre of the cluster, we can create analysis regions around it." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Motivation for a new peak finding method" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To correct for the spatial variation of exposure times across the XMM field of view (caused primarily by vignetting), peak finding methods should be performed on a 'ratemap', created by dividing an image by an exposure map. Unfortunately, the calculation of exposure maps seems to become difficult near the edges of CCDs, and can the exposure values can be artificially reduced - this in turn can create artificially bright pixels in the ratemap.\n", "\n", "If one of those boosted pixel values happens to be in the region we're searching for a cluster centre, then it is possible that it will be selected over the true centre. Not only that, but if point sources are not properly removed it is possible that the brightest pixel in a given region could be in the remnants of the point source emission.\n", "\n", "It is possible to apply a smoothing kernel to try and alleviate some of these problems, but I wanted to try another approach that didn't decrease the spatial resolution, and doesn't need to be checked by eye after the fact." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Declaring a `GalaxyCluster` instance" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The procedure explained in this section is automatically performed (if the user doesn't change the `use_peak` keyword argument to False on initilisation of the source) on the combined `RateMap` data when an `ExtendedSource` or `GalaxyCluster` object is declared. By default, 0.5-2.0keV ratemaps are used, but the user can override this when initialising the source object. This method is also used to find peaks for the individual ratemaps as well, but the combined peak is the main result used by XGA.\n", "\n", "Unlike the ratemaps used in this demonstration, the peak finding algorithm built into the `ExtendedSource` and `GalaxyCluster` classes places masks its ratemaps with a search aperture, as well as removing point sources. We have written the demonstration without the use of source masks to demonstrate an absolute worst case scenario." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We choose to use an Abell cluster that has appeared in several of the XGA tutorials, largely because there are two nearby bright point sources that will help illustrate how the peak finder behaves. **Please note that the overdensity radius and redshift used to declare the object are approximate, and shouldn't be used for a real scientific analysis**." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Abell 907, my favourite Galaxy Cluster!\n", "source = GalaxyCluster(149.5904478, -11.0628750, redshift=0.16, name=\"A907\", r500=Quantity(1200, 'kpc'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Accessing the automatically measured peak of a `GalaxyCluster`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before we get stuck in to the details of the peak finder, you can use the `peak` property to access the coordinates that have been measured as the X-ray peak. If, however, `use_peak` was set to False, these coordinates will actually just be the coordinates passed in on the initialisation of the source:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[149.59251341 -11.06395832] deg\n" ] } ], "source": [ "print(source.peak)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you need a reminder of XGA's photometric products (`RateMap` for instance), I would recommend the [photometry with XGA tutorial](../tutorials/photometry.html)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The simplest possible peak finder" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Firstly we will demonstrate the simplest possible peak finding method, simply selecting the brighest pixel in the ratemap, though first we shall have to retrieve a ratemap from the source storage storage structure, then directly access its data array. We've chosen the PN ratemap from an individual observation, simply to make the visualisation a little simpler:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "pn_rt = source.get_ratemaps('0201903501', 'pn', lo_en=Quantity(0.5, 'keV'), hi_en=Quantity(2.0, 'keV'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We implement an efficient method using numpy to find the coordinates of the maximum value point in an array, then we store the output in an astropy quantity (as well as then converting those pixel coordinates to degrees):" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "peak = np.unravel_index(np.argmax(pn_rt.data), pn_rt.shape)\n", "\n", "# peak[1] goes into the Quantity first because numpy uses row, column ordering, whereas people expect\n", "# pixel coordinates in column, row ordering.\n", "pn_simple_pix_peak = Quantity([peak[1], peak[0]], pix)\n", "pn_simple_deg_peak = pn_rt.coord_conv(pn_simple_pix_peak, 'deg')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To make our point about the problems that these edge pixels can cause, we use the `view()` method to display the coordinate which has been selected by this simplest peak finding method. A mask (which is the size of the usual search aperture when a source is doing this peak finding iteratively) is applied, and we use the `zoom_in` option so that you can see the bright pixel. \n", "\n", "We also have to set the `mask_edges` argument to False, otherwise an edge mask would have automatically been applied, and you would not be able to see the brightest pixel. \n", "\n", "We change the central coordinate of the mask so that it is centered on the simple peak we have just measured:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "vis_mask = source.get_mask('search', obs_id=pn_rt.obs_id, central_coord=pn_simple_deg_peak)[0]\n", "pn_rt.view(pn_simple_pix_peak, vis_mask, mask_edges=False, zoom_in=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can quite clearly see that the pixel that has been selected is a) on a chip edge, and b) much brighter than anything else in the ratemap (look at the colourbar on the side of the visualisation). Ideally this would have selected the cluster that we can see nearby, but evidently we must deal with these spuriously bright pixels that can appear on chip edges. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## A solution to the edge problem" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We're going to exclude all pixels that sit on the edge of a chip from being peak candidates. As such we need a way to choose which pixels are on an edge and which aren't. We repurposed a method of mapping XMM detectors from another recent piece of work, and used an edge finding algorithm on an exposure map where every value that wasn't 0 was set to 1.\n", "\n", "The way this works is that the modified exposure map array is differentiated in the X and Y directions, then the two resultant arrays are added together. As such an edgemap pixel $e_{i,j}$ is\n", "\n", "$$e_{i,j} = (p_{i,j} - p_{i+1,j}) + (p_{i,j} - p_{i,j+1})$$\n", "\n", "where $p_{i, j}$ is the pixel value of the modified exposure map at coordinates $i, j$.\n", "\n", "\n", "This makes it easy to know when you're going from 'not on a chip' to 'on a chip' and vice versa; $e_{i,j}$ is -1 when moving from 'not on a chip' to 'on a chip', and 1 when moving from 'on a chip' to 'not on a chip'. The modified exposure map is differentiated in both X and Y directions to make sure we capture all the edges, but some will be detected in both directions, so when the arrays are added together there could be edge map pixels with a value of 2, which generally means they are a corner of a chip.\n", "\n", "As we wish to know where the edges are, any values of -1 are shifted over by 1, then set to 1, in the direction of the differentiation they belong to. The array is then inverted, so everywhere **but** the edges is 1." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This technique is implemented in the `RateMap` class, and is run automatically on initialisation. You can manually access the edge mask through the `edge_mask` property, and can see the difference that it makes by changing the `mask_edges` argument of the view method.\n", "\n", "Here we show you the ratemap before and after edge masking, as well as the edgemap itself, to demonstrate that we are obviously actually mapping the EPIC pn camera:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(16, 13))\n", "\n", "ax = plt.gca()\n", "\n", "ax.tick_params(axis='both', direction='in', which='both', top=False, right=False)\n", "ax.xaxis.set_ticklabels([])\n", "ax.yaxis.set_ticklabels([])\n", "\n", "norm = ImageNormalize(data=pn_rt.edge_mask, interval=MinMaxInterval(), stretch=LinearStretch())\n", "ax.imshow(pn_rt.edge_mask, norm=norm, origin=\"lower\", cmap=\"gnuplot2\")\n", "\n", "plt.colorbar(ax.images[0])\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The before view:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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AAAD4Yb2k/Tq+Hifp4QzbbMHMzlJQnPHY9hKJWNxMAAAMpc7uDVK6mglVz/gnNcj48niPg34+vnzOAACUaLmkiWZ2gKSHJL1D0jsj28yTdH67nsJ0SRudc7FLHNodIj4mabZz7tkkA+FmAgAAAACgoZrVGtI594KZnS9pvoLWkFc451ab2Xnt1y+RdJOCtpD3KWgNeU64v5ldLem1CuoyrJd0oXPucklfk/RySQuCzpK63Tl3XtxYLC69YGaJ1lUAADDsfJhFL2uMPnwWAIBRK2LW53tvZORQ12r9a9XDSMVsqhfXZKuqBwAAAAAAAPzCMgcAAAAAQEM1a5lDnXAzAQCAHPgQ6S9rjHX6LNz7LpUk2TfOrXgkAAA0C8scAAAAAABAKiQTAAC1tGH2QknS2EVzKh4JqrJuxhJJ0vilMzMfg0QCAADF4GYCAAAAAKChXpL0TNWDaCRuJgAAaikukVB060FaG9bDIIkEAABQLGomAAAAAACAVEgmAAC8k0diIC59UHYiIY/aAFVYO32pJGnCshkVjwQAgF5oDVkUkgkAAAAAACAVkgkAgKEQTSLUqR5CVYmEMBEhSWO2eklSus+FRAIAAMOLZAIAAAAAAEiFZAIAoFaK6qRQpyRCWfrVNPCtRkMv4fuUtnyv7ot/IUmyj325kHP7Wu8CAIYHrSGLQjIBAAAAAACkws0EAAAAAAA8YWYnmNm9ZnafmX28y+tmZv/Ufv1OMzuq47UrzOxXZvZfkX12NbMFZram/b+79B2Hcy5ukL1fBAAAjUGbRwAYWiuccyNVD6IoIyP7uVbrT6seRipmf9rzmpjZGEm/lHScpPWSlks63Tn3i45tTpR0gaQTJU2XdJFzbnr7tdcoWPfxHefcYR37fEnSk865L7RvUOzinPtY3DhJJgAAAAAA4IejJd3nnFvrnHte0vcknRzZ5mQFNwucc+52STub2d6S5Jy7TdKTXY57sqRvtx9/W9Kb+w2EAowAABSgrJn+vM7T1ETCmmnLJEkTl0+XtHmxxlC/9x5X4BEAgJLtK+nBjq/XK0gf9NtmX0mPxBx3T+fcI5LknHvEzPboNxBuJgAAAAAAUB+7m1mr4+vLnHOXtR9bl+2j5QmSbDMwbiYAAHIRtnSUhrMNY1SWGezoLHre58lyfN9F32uW60IaAQB85mVryMdj6lisl7Rfx9fjJD2cYZuox8xs73YqYW9Jv+o3SGomAAAAAADgh+WSJprZAWa2jaR3SJoX2WaepHe1uzocI2ljuIQhxjxJZ7UfnyXphn4DIZkAAMhFtzRCmFaIvuZriiFJfYJe2yRZd190YqCsRMIwJiDyRncNAEA3zrkXzOx8SfMljZF0hXNutZmd1379Ekk3KejkcJ+kZyWdE+5vZldLeq2CpRTrJV3onLtc0hckfd/M3iPpfySd2m8s3EwAAAAAADTUi5KernoQuXLO3aTghkHnc5d0PHaSPtRj39N7PP+EpGPTjMOC8/R40Sz3Ig0AACCZcIZfqm6Wn5RBfvL8LOkwASBHK2LW53tvZGQv12q9q+phpGL2ZS+uCTUTAAAAAABAKixzAAAMBR/XoHfOYOcxq53lGCQS8hP9LJNcj17b+PR9DABoJm4mAAAAAAAaysvWkF5gmQMAAAAAAEiFAowAAO/4sGSBwoUAAE94Uewvq5GRPVyrdUrVw0jF7GIvrgnLHAAAAAAADdW81pB1wc0EABhC62Ys2ezr8UtnDnysQY6RVhGJhLzaMEYTCVUmFO6ZulySdPCKaaWfuwl8SZf4Mk4AQLNQMwEAAAAAAKRCzQQAADxSp7TBhtkLJUljF81JvE84/hdfCuYzJq2cmv/ACuTed6kkyb5xbinnKzt1QMoBGEperM/PamRkN9dqnVj1MFIx+1cvrgnLHAAAAAAADUVryKKQTAAA1EqWTg1xs6l5zrSWnQoIz1fmOZFO5zWSsl0nrjOAinkxC57VyMgurtV6bdXDSMXsR15cE2omAAAAAACAVFjmAACohV6JhCRJhbjUwSCJhGgSIW7WuM5rzetUZyFq9ZQVkvyrnRD9TKMJBan3e0vzfQUAGBStIYtCMgEAAAAAAKTCzQQAAAAAAJAKBRgBALHWzVgiSRq/dGal43DnXjz62C79QOr90yxD6BVhj4uj13kpQR5j83U5Qp3V+XsGwFDxothfViMjO7pW6+iqh5GK2S1eXBNqJgAAAAAAGorWkEUhmQAASCWaVMjSyhHVuHPySknSEaumVDySwdQxJVHHMQFAQl7Mgmc1MrK9a7UOq3oYqZgt8+KaUDMBAAAAAACkwjIHAEAqL760+X3oohMJVbRcrONa9jxmvn1IJITpCcmv8U5aWc5Yi/7e7Nbisk4/BwCQXvNaQ5rZCZIukjRG0r84574Qed3ar58o6VlJZzvn7ojb18yOlHSJpG0lvSDpg865/4wbB8kEAAAAAAA8YGZjJH1d0lxJh0o63cwOjWw2V9LE9r/3S7o4wb5fkvQZ59yRkv66/XUskgkAgFTKro1QZiIhlOdMbF5r6QfZv3O2X4qf8c8y3jxrMSQ5Rp3qEhSdngivR+jgFfm8914JB1IIAFB7R0u6zzm3VpLM7HuSTpb0i45tTpb0HRcUSLzdzHY2s70l7R+zr5O0Y3v/nSQ93G8g3EwAAAAAAKA+djezVsfXlznnLms/3lfSgx2vrZcUnXnpts2+ffb9E0nzzezvFKxg+P1+g+RmAgB4LtpdoanC2glSNWmFrOowi55m9jzLeH2obeCrNNcjTaokmkAYJEGTV52FKuqjABgGXraGfDymm4N1eS7ahbHXNnH7fkDSR5xz15nZ2yVdLul1cYOkZgIAAAAAAH5YL2m/jq/HacslCb22idv3LEk/bD++VsFyilgkEwCgIM8cN1+StP2C43M/9trpS0cfj1+avIbBhtkLJUljF83JfUxFJweGcbayc7182EWDFAB6SZIq6JVAGCRBk1edhWH8GQeADJZLmmhmB0h6SNI7JL0zss08See3ayJMl7TROfeImW2I2fdhSbMl3SrpDyWt6TcQbiYAAAAAABqqWa0hnXMvmNn5kuYraO94hXNutZmd1379Ekk3KWgLeZ+C1pDnxO3bPvT7JF1kZltL+j8FXSBicTMBAAAAAABPOOduUnDDoPO5SzoeO0kfSrpv+/mfSUoVU7PgPD1eNOv9IgCgcMNSXLEKebVsRHOlaXmZZ3vMOuhcYpPnz0ivlpQAKrUiptif90ZGtnat1o79N6wRs6e8uCYUYAQAAAAAAKmQTACAHCRJEJAyaJ5wNlpqzoz0ysNXbfb1lLsm9902bhs0V1HpHtILQOm8mAXPamRkK9dq+bW63+x3XlwTkgkAAAAAACAVkgkAgEyYPeyuqLXzeaQA4lIHgxy/qQmFpr4vAIjwYhY8K5IJxfHrUwUAAAAAIDEnuReqHkQjcTMBADIou/7B2ulLJUkTls3I9bhrpi2TJE1cPj31viQSypXH7HjcMQY5fq99O5MQPs3uL590lyRpyl2HVzyS4tWpCwUdVgDAL9RMAAAAAAAAqVAzAQCGyCBJhKi4mglNqadQp1nbfuqwvr8OY6hKle+9Lp/7oN1NsiQTSDMAufBifX5WIyPmWsut6mGkYls5L64JyxwAAAAAAM31km+B/BerHkAivn2qAAAAAACgYixzAICKhcUVpS0LLBZVeLEs0QhykyPJvZZERNsxSlvG0btt0227JHwteuirsFjjtNWHb/Z153Nlq8uyh0E1+fcFUDNeROqzGhkx11o2puphpGJbv+jFNWGZAwAAAACgmZyxzKEgJBMAAEgoTB+82P4/JXnN/EZnkqOz3VXKeyx5HK9On8+G2QslSWMXzSn1vHEJlKKTCXVKPpBeAHLhxSx4ViNTt3Kt2/2aQ7dtfufFNfHtFg0AAAAAAKgYyQQAKIjv9Q6Qr7JqGdRhzX7Zin7P7owrRx/bVWfmfvyi1CnBAaDWvJgFz4pkQnH8+lQBAAAAAEjDu5oJfiCZAAANd8/U5aOPD14xLXab8PU105aNvjZx+fQCR9e7CwKKN4wphjINkgzot28V167oWgll/y4gPQaM8mIWPKuRqVu51n9sU/UwUrFtf+vFNeEWDQAAAAAASIVkAgB4LpoqqLO4mcfwtRBJheIkmTG//ZDVm319zN2TCh1Tt/OWdU4f+f45lVVDJA6dIIBRXsyCZzVy1FautWTbqoeRir3iOS+uCckEAAAAAACQCskEAEDu0qQlhrFmQjirXPSMcq/zlHX+OHmOwfdZ+jLVscNDlloMw/h7AyiQF7PgWZFMKA7JBAAAAAAAkAqtIQEAAAAADWW0hiwIyxwAAKOIDg+uDksI0Hy+Lu0our0kgEy8iNRnNXLUGNdavF3Vw0jFtv+NF9eEWzQAAAAAACAVkgkAht7a6UslSROWzah4JPnIo1Vk2DJNom1aXVVdxFGSlhx0tyRp5r2HdN3XnX7V6GO7+owCRgd05865fPSxffM9FY4E8IIXs+BZjRw1xrUWvbLqYaRiOz7txTUhmQAAAAAAAFIhmQAANZRnusD3ZEFRrezq2CIvjTySCWGyQOqdLvBVv9SE7+fztWZCFT93Ses0hDVjJOrGYOh4MQueVROTCWZ2gqSLJI2R9C/OuS9EXrf26ydKelbS2c65O/rta2YXSDpf0guSbnTOfTRunHRzAAAAAADAA2Y2RtLXJR0nab2k5WY2zzn3i47N5kqa2P43XdLFkqbH7WtmcySdLOkI59xvzWyPvmMhmQAA5VgzbdlmX09cPr2ikWyJLg6oym0T75UkvWbNQX239S1NUnZaIYs8a2+E10fy5xoBkNT0ZMKUrV3r1u2rHkYqtvPGntfEzGZI+rRz7vj215+QJOfc5zu2uVTSrc65q9tf3yvptZL277WvmX1f0mXOuZ8mHSc1EwAAAAAAqI/dzazV8e/9Ha/tK+nBjq/Xt59Tgm3i9n21pFlmtszMFplZ37W2LHMA0Ch17sx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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pn_rt.view(zoom_in=True, mask_edges=True, figsize=(16, 13))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Please note that the simple peak finder technique (of looking for the brightest pixel) is implemented as the `simple_peak` [method]((../../xga.products.html#xga.products.phot.RateMap.simple_peak)) of the `RateMap` class, but we apply the edge mask which we just discussed **before** searching for the brightest pixel." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## New Peak Finding Method" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To (hopefully) account for any point source remnants in the RateMap, we introduce a new method that uses a hierarchical clustering algorithm to choose the pixels most likely to belong to the cluster we're searching for.\n", "\n", "You must bear in mind that by this point in the peak finding function of the `GalaxyCluster` class (for instance) the data is masked to remove point sources, and a search aperture mask is placed around the original coordinates supplied by the user. We choose not to mask the data as it makes it easier to show you what the new method does, and also demonstrates how well it performs even under the worst conditions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Demonstrating the downside of the simple peak method" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We shall just another ratemap that helps us make our point here:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "pn_rt = source.get_ratemaps('0201901401', 'pn', Quantity(0.5, 'keV'), Quantity(2.0, 'keV'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So now that we have developed this edge mask we can apply it and once again search for the brightest pixel, though this time we shall use the built in `simple_peak()` method. When this is called for an actual analysis it expects a mask to be passed to the `mask` argument, to remove sources that shouldn't be considered for the peak position. As we have already stated, we are deliberately not masking this image, so we need to create a flat mask of ones to pass to the peak finder:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "scrolled": false }, "outputs": [], "source": [ "# The peak finding methods of a RateMap require a numpy mask, but for the demonstration I don't want to \n", "# mask the data, so I construct a numpy array of ones to act as a flat mask\n", "flat_mask = np.ones(pn_rt.shape)\n", "simple_peak, near_edge = pn_rt.simple_peak(flat_mask, 'deg')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We call the view option, having created a custom mask centered on the simple peak we just found and set the `zoom_in` argument to True:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Then we can view the combined data with the crosshair at the 'simple peak'\n", "vis_mask = source.get_custom_mask(Quantity(0.08, 'deg'), remove_interlopers=False, obs_id=pn_rt.obs_id, \n", " central_coord=simple_peak)\n", "pn_rt.view(simple_peak, vis_mask, zoom_in=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We find that we're still not getting a good answer, and have selected a bright point source instead of the cluster that we can clearly see on the right hand side of the image. \n", "\n", "Now, hopefully in any real use case, the source finder you've used would have found, and produced a region for, a powerful point source like the one we have selected - but the same thing can happen with a particularly bright point source remnant." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### What is hierarchical clustering and how does help?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A clever type of unsupervised machine learning algorithm that can be used to cluster data points in some arbitrary feature space until a completion criteria has been met. In this case we are clustering on X and Y spatial coordinates, so intuitively it is quite easy to understand, but the algorithm can cluster any kind of information.\n", "\n", "It starts off by assuming that each point is a separate cluster, then repeatedly identifies the clusters that are closest together and combines them. This XGA implementation uses the scipy `fclusterdata` function, with a distance criterion of five pixels by default, though the distance can be changed by setting the `clustering_peak()` [method's]((../../xga.products.html#xga.products.phot.RateMap.clustering_peak) `max_dist` argument.\n", "\n", "We take the spatial coordinates of the pixels with the top 5% (by default) of values in the ratemap, then run this hierarchical clustering algorithm on them. Once it's complete we select the largest cluster of points and assume that this is the source that we're looking for. This excludes any small patches of emission that might be left over from point sources, and so you can just select the pixel with the maximum value **in the chosen point cluster**." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we show how the method is called manually, and we have enabled the `clean_point_clusters` function so that any point clusters with fewer than four pixels associated with them are removed from the returned, non-source, point cluster list. This is purely for aesthetic reasons when making the visualisation:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "clever_pix_peak, near_edge, src, others = pn_rt.clustering_peak(flat_mask, 'deg', clean_point_clusters=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we make the visualisation using the `view()` method of the `RateMap` class, particulary with the `chosen_points` and `other_points` arguments, which were specifically designed to plot point clusters from this peak finding algorithm. At first we show the ratemap which the peak finder worked upon, then we show it with the point clusters (and the chosen peak coordinate) plotted on top. \n", "\n", "We can see that the clustering peak finder has noticed the bright point source to the left, but has decided that because the galaxy cluster point cluster is larger, it will take the peak from there:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "vis_mask = source.get_custom_mask(Quantity(1000, 'kpc'), obs_id=pn_rt.obs_id, central_coord=clever_pix_peak, \n", " remove_interlopers=False)\n", "\n", "pn_rt.view(zoom_in=True, figsize=(16, 13))\n", "pn_rt.view(clever_pix_peak, chosen_points=src, other_points=others, zoom_in=True, figsize=(16, 13))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## How is it implemented in `GalaxyCluster`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The implementation of this process in the ExtendedSource and GalaxyCluster classes is actually iterative. Firstly, an aperture with a radius of 500kpc (or 5 arcminutes) is placed at the user supplied source coordinates, with interloper sources being masked out. The radius is only set to 5 arcminutes if the user has defined an extended source with no redshift information (which is allowed), if the source is a GalaxyCluster object, redshift information is required so it will always use 500kpc.\n", "\n", "Then the algorithm follows these steps (for upto 20 iterations before it throws an error):\n", "\n", "1. Runs the hierarchical peak finder.\n", "2. Re-centres the search aperture at the new coordinates.\n", "3. Checks to see if the new peak is within 15kpc (or 0.15 arcminutes) of the last central coordinate.\n", "4. If it is, consider the peak converged and exit, if it isn't (or if the algorithm is on the first iteration), go back to 1.\n", "\n", "Initially run on the combined ratemap, then on the individual ratemaps of the different observations/instruments. If the combined ratemap peak won't converge, a hard error will be thrown (as this is what XGA analyses uses as the centre), the individual peaks are allowed to not converge.\n", "\n", "The user can also choose to use their initial coordinates as the cluster centre, if they don't want to find and use the peak." ] } ], "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": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 4 }