{ "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-webpage/v0.13?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 create_crab_spectral_model\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 3.9 s, sys: 372 ms, total: 4.27 s\n", "Wall time: 4.27 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 : 274\n", "\ttotal stat : 61231.07\n", "\n", "CPU times: user 2.65 s, sys: 60.9 ms, total: 2.71 s\n", "Wall time: 2.71 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+012.979e-03deg-1.800e+021.800e+02False
lat_02.202e+012.789e-03deg-9.000e+019.000e+01False
index2.634e+009.312e-02nannanFalse
amplitude4.992e-114.172e-12cm-2 s-1 TeV-1nannanFalse
reference1.000e+000.000e+00TeVnannanTrue
norm2.919e+006.042e-020.000e+00nanFalse
tilt-1.993e-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 2.979e-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 9.312e-02 nan nan False\n", "amplitude 4.992e-11 4.172e-12 cm-2 s-1 TeV-1 nan nan False\n", "reference 1.000e+00 0.000e+00 TeV nan nan True\n", " norm 2.919e+00 6.042e-02 0.000e+00 nan False\n", " tilt -1.993e-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_08.873e-06-3.321e-071.329e-06-2.989e-170.000e+001.800e-07-5.725e-08
lat_0-3.321e-077.779e-067.258e-071.036e-160.000e+00-3.874e-07-6.666e-08
index1.329e-067.258e-078.671e-033.105e-130.000e+00-2.041e-04-8.837e-05
amplitude-2.989e-171.036e-163.105e-131.741e-230.000e+00-1.315e-14-3.564e-15
reference0.000e+000.000e+000.000e+000.000e+000.000e+000.000e+000.000e+00
norm1.800e-07-3.874e-07-2.041e-04-1.315e-140.000e+003.651e-031.012e-03
tilt-5.725e-08-6.666e-08-8.837e-05-3.564e-150.000e+001.012e-034.247e-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 8.873e-06 -3.321e-07 1.329e-06 ... 0.000e+00 1.800e-07 -5.725e-08\n", " lat_0 -3.321e-07 7.779e-06 7.258e-07 ... 0.000e+00 -3.874e-07 -6.666e-08\n", " index 1.329e-06 7.258e-07 8.671e-03 ... 0.000e+00 -2.041e-04 -8.837e-05\n", "amplitude -2.989e-17 1.036e-16 3.105e-13 ... 0.000e+00 -1.315e-14 -3.564e-15\n", "reference 0.000e+00 0.000e+00 0.000e+00 ... 0.000e+00 0.000e+00 0.000e+00\n", " norm 1.800e-07 -3.874e-07 -2.041e-04 ... 0.000e+00 3.651e-03 1.012e-03\n", " tilt -5.725e-08 -6.666e-08 -8.837e-05 ... 0.000e+00 1.012e-03 4.247e-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 3.36 s, sys: 89.7 ms, total: 3.45 s\n", "Wall time: 3.42 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 2.583e+00 1.142e-01 nan nan False\n", "\tamplitude 4.424e-11 4.074e-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 1.304e-02 3.598e-13 0.000e+00\n", "\tamplitude 3.598e-13 1.660e-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 = create_crab_spectral_model(\"hess_pl\")\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 6.78 s, sys: 551 ms, total: 7.34 s\n", "Wall time: 7.28 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: 4832.2\n", "Excess from off regions: -1093.5\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": null, "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 }