{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "
\n", "\n", "**This is a fixed-text formatted version of a Jupyter notebook**\n", "\n", "- Try online [![Binder](https://mybinder.org/badge.svg)](https://mybinder.org/v2/gh/gammapy/gammapy/v0.12?urlpath=lab/tree/hess.ipynb)\n", "- You can contribute with your own notebooks in this\n", "[GitHub repository](https://github.com/gammapy/gammapy/tree/master/tutorials).\n", "- **Source files:**\n", "[hess.ipynb](../_static/notebooks/hess.ipynb) |\n", "[hess.py](../_static/notebooks/hess.py)\n", "
\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# H.E.S.S. with Gammapy\n", "\n", "This tutorial explains how to analyse [H.E.S.S.](https://www.mpi-hd.mpg.de/hfm/HESS) data with Gammapy.\n", "\n", "We will analyse four observation runs of the Crab nebula, which are part of the [H.E.S.S. first public test data release](https://www.mpi-hd.mpg.de/hfm/HESS/pages/dl3-dr1/). In this tutorial we will make an image and a spectrum. The [light_curve.ipynb](light_curve.ipynb) notbook contains an example how to make a light curve.\n", "\n", "To do a 3D analysis, one needs to do a 3D background estimate. In [background_model.ipynb](background_model.ipynb) we have started to make a background model, and in this notebook we have a first look at a 3D analysis. But the results aren't OK yet, the background model needs to be improved. In this analysis, we also don't use the energy dispersion IRF yet, and we only analyse the data in the 1 TeV to 10 TeV range. The H.E.S.S. data was only released very recently, and 3D analysis in Gammapy is new. This tutorial will be improved soon.\n", "\n", "This tutorial also shows how to do a classical image analysis using the ring bakground. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from scipy.stats import norm\n", "import astropy.units as u\n", "from astropy.coordinates import SkyCoord\n", "from astropy.convolution import Tophat2DKernel\n", "from regions import CircleSkyRegion\n", "from gammapy.data import DataStore\n", "from gammapy.maps import Map, MapAxis, WcsGeom\n", "from gammapy.cube import MapMaker, MapDataset, PSFKernel, MapMakerRing\n", "from gammapy.cube.models import SkyModel, BackgroundModel\n", "from gammapy.spectrum.models import PowerLaw\n", "from gammapy.spectrum import CrabSpectrum\n", "from gammapy.image.models import SkyPointSource\n", "from gammapy.detect import compute_lima_on_off_image\n", "from gammapy.scripts import SpectrumAnalysisIACT\n", "from gammapy.utils.fitting import Fit\n", "from gammapy.background import RingBackgroundEstimator" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Data access\n", "\n", "To access the data, we use the `DataStore`, and we use the ``obs_table`` to select the Crab runs." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "data_store = DataStore.from_file(\n", " \"$GAMMAPY_DATA/hess-dl3-dr1/hess-dl3-dr3-with-background.fits.gz\"\n", ")\n", "mask = data_store.obs_table[\"TARGET_NAME\"] == \"Crab\"\n", "obs_table = data_store.obs_table[mask]\n", "observations = data_store.get_observations(obs_table[\"OBS_ID\"])" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# pos_crab = SkyCoord.from_name('Crab')\n", "pos_crab = SkyCoord(83.633, 22.014, unit=\"deg\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Maps\n", "\n", "Let's make some 3D cubes, as well as 2D images.\n", "\n", "For the energy, we make 5 bins from 1 TeV to 10 TeV." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "energy_axis = MapAxis.from_edges(\n", " np.logspace(0, 1.0, 5), unit=\"TeV\", name=\"energy\", interp=\"log\"\n", ")\n", "geom = WcsGeom.create(\n", " skydir=(83.633, 22.014),\n", " binsz=0.02,\n", " width=(5, 5),\n", " coordsys=\"CEL\",\n", " proj=\"TAN\",\n", " axes=[energy_axis],\n", ")" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 6.54 s, sys: 386 ms, total: 6.92 s\n", "Wall time: 3.94 s\n" ] } ], "source": [ "%%time\n", "maker = MapMaker(geom, offset_max=\"2.5 deg\")\n", "maps = maker.run(observations)\n", "images = maker.run_images()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "dict_keys(['counts', 'exposure', 'background'])" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "maps.keys()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "images[\"counts\"].smooth(3).plot(stretch=\"sqrt\", vmax=2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## PSF\n", "\n", "Compute the mean PSF for these observations at the Crab position." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "from gammapy.irf import make_mean_psf\n", "\n", "table_psf = make_mean_psf(observations, pos_crab)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "psf_kernel = PSFKernel.from_table_psf(table_psf, geom, max_radius=\"0.3 deg\")\n", "psf_kernel_array = psf_kernel.psf_kernel_map.sum_over_axes().data\n", "# psf_kernel.psf_kernel_map.slice_by_idx({'energy': 0}).plot()\n", "# plt.imshow(psf_kernel_array)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Map fit\n", "\n", "Let's fit this source assuming a Gaussian spatial shape and a power-law spectral shape, and a background with a flexible normalisation" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "spatial_model = SkyPointSource(\n", " lon_0=\"83.6 deg\", lat_0=\"22.0 deg\", frame=\"icrs\"\n", ")\n", "spectral_model = PowerLaw(\n", " index=2.6, amplitude=\"5e-11 cm-2 s-1 TeV-1\", reference=\"1 TeV\"\n", ")\n", "model = SkyModel(spatial_model=spatial_model, spectral_model=spectral_model)\n", "background_model = BackgroundModel(maps[\"background\"], norm=1.0)\n", "background_model.parameters[\"tilt\"].frozen = False" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "OptimizeResult\n", "\n", "\tbackend : minuit\n", "\tmethod : minuit\n", "\tsuccess : True\n", "\tmessage : Optimization terminated successfully.\n", "\tnfev : 275\n", "\ttotal stat : 61227.19\n", "\n", "CPU times: user 4.46 s, sys: 37.7 ms, total: 4.5 s\n", "Wall time: 2.26 s\n" ] } ], "source": [ "%%time\n", "dataset = MapDataset(\n", " model=model,\n", " counts=maps[\"counts\"],\n", " exposure=maps[\"exposure\"],\n", " background_model=background_model,\n", " psf=psf_kernel,\n", ")\n", "fit = Fit(dataset)\n", "result = fit.run()\n", "print(result)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Best fit parameters:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/html": [ "Table length=8\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
namevalueerrorunitminmaxfrozen
str9float64float64str14float64float64bool
lon_08.362e+012.978e-03deg-1.800e+021.800e+02False
lat_02.202e+012.789e-03deg-9.000e+019.000e+01False
index2.634e+009.309e-02nannanFalse
amplitude4.992e-114.170e-12cm-2 s-1 TeV-1nannanFalse
reference1.000e+000.000e+00TeVnannanTrue
norm2.920e+006.044e-020.000e+00nanFalse
tilt-1.992e-022.061e-02nannanFalse
reference1.000e+000.000e+00TeVnannanTrue
" ], "text/plain": [ "\n", " name value error unit min max frozen\n", " str9 float64 float64 str14 float64 float64 bool \n", "--------- ---------- --------- -------------- ---------- --------- ------\n", " lon_0 8.362e+01 2.978e-03 deg -1.800e+02 1.800e+02 False\n", " lat_0 2.202e+01 2.789e-03 deg -9.000e+01 9.000e+01 False\n", " index 2.634e+00 9.309e-02 nan nan False\n", "amplitude 4.992e-11 4.170e-12 cm-2 s-1 TeV-1 nan nan False\n", "reference 1.000e+00 0.000e+00 TeV nan nan True\n", " norm 2.920e+00 6.044e-02 0.000e+00 nan False\n", " tilt -1.992e-02 2.061e-02 nan nan False\n", "reference 1.000e+00 0.000e+00 TeV nan nan True" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "result.parameters.to_table()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Parameters covariance:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/html": [ "Table length=8\n", "
\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
namelon_0lat_0indexamplitudereferencenormtilt
str9float64float64float64float64float64float64float64
lon_08.869e-06-3.310e-071.377e-06-2.480e-170.000e+001.786e-07-5.766e-08
lat_0-3.310e-077.778e-067.157e-071.031e-160.000e+00-3.872e-07-6.663e-08
index1.377e-067.157e-078.665e-033.102e-130.000e+00-2.040e-04-8.831e-05
amplitude-2.480e-171.031e-163.102e-131.739e-230.000e+00-1.315e-14-3.561e-15
reference0.000e+000.000e+000.000e+000.000e+000.000e+000.000e+000.000e+00
norm1.786e-07-3.872e-07-2.040e-04-1.315e-140.000e+003.653e-031.012e-03
tilt-5.766e-08-6.663e-08-8.831e-05-3.561e-150.000e+001.012e-034.248e-04
reference0.000e+000.000e+000.000e+000.000e+000.000e+000.000e+000.000e+00
" ], "text/plain": [ "\n", " name lon_0 lat_0 index ... reference norm tilt \n", " str9 float64 float64 float64 ... float64 float64 float64 \n", "--------- ---------- ---------- ---------- ... --------- ---------- ----------\n", " lon_0 8.869e-06 -3.310e-07 1.377e-06 ... 0.000e+00 1.786e-07 -5.766e-08\n", " lat_0 -3.310e-07 7.778e-06 7.157e-07 ... 0.000e+00 -3.872e-07 -6.663e-08\n", " index 1.377e-06 7.157e-07 8.665e-03 ... 0.000e+00 -2.040e-04 -8.831e-05\n", "amplitude -2.480e-17 1.031e-16 3.102e-13 ... 0.000e+00 -1.315e-14 -3.561e-15\n", "reference 0.000e+00 0.000e+00 0.000e+00 ... 0.000e+00 0.000e+00 0.000e+00\n", " norm 1.786e-07 -3.872e-07 -2.040e-04 ... 0.000e+00 3.653e-03 1.012e-03\n", " tilt -5.766e-08 -6.663e-08 -8.831e-05 ... 0.000e+00 1.012e-03 4.248e-04\n", "reference 0.000e+00 0.000e+00 0.000e+00 ... 0.000e+00 0.000e+00 0.000e+00" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "result.parameters.covariance_to_table()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Residual image\n", "\n", "We compute a residual image as `residual = counts - model`. Note that this is counts per pixel and our pixel size is 0.02 deg. Smoothing is counts-preserving. The residual image shows that currently both the source and the background modeling isn't very good. The background model is underestimated (so residual is positive), and the source model is overestimated." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "npred = dataset.npred()\n", "residual = Map.from_geom(maps[\"counts\"].geom)\n", "residual.data = maps[\"counts\"].data - npred.data" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "residual.sum_over_axes().smooth(\"0.1 deg\").plot(\n", " cmap=\"coolwarm\", vmin=-0.2, vmax=0.2, add_cbar=True\n", ");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Spectrum\n", "\n", "We could try to improve the background modeling and spatial model of the source. But let's instead turn to one of the classic IACT analysis techniques: use a circular on region and reflected regions for background estimation, and derive a spectrum for the source without having to assume a spatial model, or without needing a 3D background model." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/adonath/github/adonath/gammapy/gammapy/spectrum/extract.py:232: RuntimeWarning: invalid value encountered in true_divide\n", " self.containment = new_aeff.data.data.value / self._aeff.data.data.value\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 4.92 s, sys: 60 ms, total: 4.98 s\n", "Wall time: 3.91 s\n" ] } ], "source": [ "%%time\n", "on_region = CircleSkyRegion(pos_crab, 0.11 * u.deg)\n", "exclusion_mask = Map.from_geom(geom.to_image())\n", "exclusion_mask.data = np.ones_like(exclusion_mask.data, dtype=bool)\n", "\n", "model_pwl = PowerLaw(\n", " index=2.6, amplitude=\"5e-11 cm-2 s-1 TeV-1\", reference=\"1 TeV\"\n", ")\n", "\n", "config = {\n", " \"outdir\": \".\",\n", " \"background\": {\"on_region\": on_region, \"exclusion_mask\": exclusion_mask},\n", " \"extraction\": {\"containment_correction\": True},\n", " \"fit\": {\"model\": model_pwl, \"fit_range\": [1, 10] * u.TeV},\n", " \"fp_binning\": np.logspace(0, 1, 11) * u.TeV,\n", "}\n", "analysis = SpectrumAnalysisIACT(observations=observations, config=config)\n", "analysis.run()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "PowerLaw\n", "\n", "Parameters: \n", "\n", "\t name value error unit min max frozen\n", "\t--------- --------- --------- -------------- --- --- ------\n", "\t index 2.578e+00 1.135e-01 nan nan False\n", "\tamplitude 4.412e-11 4.060e-12 cm-2 s-1 TeV-1 nan nan False\n", "\treference 1.000e+00 0.000e+00 TeV nan nan True\n", "\n", "Covariance: \n", "\n", "\t name index amplitude reference\n", "\t--------- --------- --------- ---------\n", "\t index 1.288e-02 3.562e-13 0.000e+00\n", "\tamplitude 3.562e-13 1.648e-23 0.000e+00\n", "\treference 0.000e+00 0.000e+00 0.000e+00\n" ] } ], "source": [ "print(model_pwl)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 8))\n", "crab_ref = CrabSpectrum(\"hess_pl\").model\n", "\n", "dataset_fp = analysis.spectrum_result\n", "\n", "plot_kwargs = {\n", " \"energy_range\": [1, 10] * u.TeV,\n", " \"flux_unit\": \"erg-1 cm-2 s-1\",\n", " \"energy_power\": 2,\n", "}\n", "\n", "model_kwargs = {\"label\": \"1D best fit model\"}\n", "model_kwargs.update(plot_kwargs)\n", "ax_spectrum, ax_residuals = dataset_fp.peek(model_kwargs=model_kwargs)\n", "\n", "crab_ref.plot(ax=ax_spectrum, label=\"H.E.S.S. 2006 PWL\", **plot_kwargs)\n", "model.spectral_model.plot(\n", " ax=ax_spectrum, label=\"3D best fit model\", **plot_kwargs\n", ")\n", "\n", "ax_spectrum.set_ylim(1e-11, 1e-10)\n", "ax_spectrum.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Classical Ring Background Analysis\n", "\n", "In this section, we do a classical ring background analysis on the MSH 15-52 region. Let us first select these runs in the datastore" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "data_store = DataStore.from_file(\n", " \"$GAMMAPY_DATA/hess-dl3-dr1/hess-dl3-dr3-with-background.fits.gz\"\n", ")\n", "data_sel = data_store.obs_table[\"TARGET_NAME\"] == \"MSH 15-52\"\n", "obs_table = data_store.obs_table[data_sel]\n", "observations = data_store.get_observations(obs_table[\"OBS_ID\"])" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "# pos_msh1552 = SkyCoord.from_name('MSH15-52')\n", "pos_msh1552 = SkyCoord(228.32, -59.08, unit=\"deg\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We first have to define the geometry on which we make our 2D map." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "energy_axis = MapAxis.from_edges(\n", " np.logspace(0, 5.0, 5), unit=\"TeV\", name=\"energy\", interp=\"log\"\n", ")\n", "geom = WcsGeom.create(\n", " skydir=pos_msh1552,\n", " binsz=0.02,\n", " width=(5, 5),\n", " coordsys=\"CEL\",\n", " proj=\"TAN\",\n", " axes=[energy_axis],\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Choose an exclusion mask.\n", "We choose an exclusion mask on the position of MSH 1552. " ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "regions = CircleSkyRegion(center=pos_msh1552, radius=0.3 * u.deg)\n", "mask = Map.from_geom(geom)\n", "mask.data = mask.geom.region_mask([regions], inside=False)\n", "mask.get_image_by_idx([0]).plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we instantiate the ring background" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "ring_bkg = RingBackgroundEstimator(r_in=\"0.5 deg\", width=\"0.3 deg\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To facilitate classical image analysis, we have a special class called `MapMakerRing`. Here, we do the analysis over the integrated energy range. To do an analysis for each image slice of the map (eg: to investigate the significance of the source detection with energy, just call `run` instead of `run_images`" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 11.7 s, sys: 511 ms, total: 12.2 s\n", "Wall time: 6.18 s\n" ] } ], "source": [ "%%time\n", "im = MapMakerRing(\n", " geom=geom,\n", " offset_max=2.0 * u.deg,\n", " exclusion_mask=mask,\n", " background_estimator=ring_bkg,\n", ")\n", "images = im.run_images(observations)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use `compute_lima_on_off_image` in `gammapy.detect` to compute significance and excess maps. A common debug plot during Ring Analysis is to make histograms of the `off` count rates, so we will plot that as well.\n", "\n", "For this we will first create a Tophat2DKernel convolution kernel for the significance maps. To convert from angles to pixel scales, we use `geom.pixel_scales`:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "scale = geom.pixel_scales[0].to(\"deg\")\n", "# Using a convolution radius of 0.05 degrees\n", "theta = 0.05 * u.deg / scale\n", "tophat = Tophat2DKernel(theta)\n", "tophat.normalize(\"peak\")" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "lima_maps = compute_lima_on_off_image(\n", " images[\"on\"],\n", " images[\"off\"],\n", " images[\"exposure_on\"],\n", " images[\"exposure_off\"],\n", " tophat,\n", ")" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "significance_map = lima_maps[\"significance\"]\n", "excess_map = lima_maps[\"excess\"]" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 10))\n", "ax1 = plt.subplot(221, projection=significance_map.geom.wcs)\n", "ax2 = plt.subplot(222, projection=excess_map.geom.wcs)\n", "\n", "ax1.set_title(\"Significance map\")\n", "significance_map.plot(ax=ax1, add_cbar=True)\n", "\n", "ax2.set_title(\"Excess map\")\n", "excess_map.plot(ax=ax2, add_cbar=True);" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "# create a 2D mask for the images\n", "image_mask = mask.slice_by_idx({\"energy\": 0})\n", "significance_map_off = significance_map * image_mask" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fit results: mu = -0.07, std = 1.03\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "significance_all = significance_map.data[np.isfinite(significance_map.data)]\n", "significance_off = significance_map_off.data[\n", " np.isfinite(significance_map_off.data)\n", "]\n", "\n", "plt.hist(\n", " significance_all,\n", " density=True,\n", " alpha=0.5,\n", " color=\"red\",\n", " label=\"all bins\",\n", " bins=21,\n", ")\n", "\n", "plt.hist(\n", " significance_off,\n", " density=True,\n", " alpha=0.5,\n", " color=\"blue\",\n", " label=\"off bins\",\n", " bins=21,\n", ")\n", "\n", "# Now, fit the off distribution with a Gaussian\n", "mu, std = norm.fit(significance_off)\n", "x = np.linspace(-8, 8, 50)\n", "p = norm.pdf(x, mu, std)\n", "plt.plot(x, p, lw=2, color=\"black\")\n", "plt.legend()\n", "plt.xlabel(\"Significance\")\n", "plt.yscale(\"log\")\n", "plt.ylim(1e-5, 1)\n", "xmin, xmax = np.min(significance_all), np.max(significance_all)\n", "plt.xlim(xmin, xmax)\n", "\n", "print(\"Fit results: mu = {:.2f}, std = {:.2f}\".format(mu, std))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The significance and excess maps clearly indicate a bright source at the position of MSH 1552. This is also evident from the significance distribution. The off distribution should ideally be a Gaussian with `mu=0`, `sigma=1`" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Excess from entire map: 4896.4\n", "Excess from off regions: -1030.4\n" ] } ], "source": [ "print(\n", " \"Excess from entire map: {:.1f}\".format(\n", " np.nansum(lima_maps[\"excess\"].data)\n", " )\n", ")\n", "print(\n", " \"Excess from off regions: {:.1f}\".format(\n", " np.nansum((lima_maps[\"excess\"] * image_mask).data)\n", " )\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again: please note that this tutorial notebook was put together quickly, the results obtained here are very preliminary. We will work on Gammapy and the analysis of data from the H.E.S.S. test release and update this tutorial soon." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercises\n", "\n", "- Try analysing another source, e.g. RX J1713.7−3946\n", "- Try another model, e.g. a Gaussian spatial shape or exponential cutoff power-law spectrum." ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [] } ], "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": "3.7.0" }, "nbsphinx": { "orphan": true } }, "nbformat": 4, "nbformat_minor": 2 }