From 3469d8fa818eea89e2e3fb5a9007f90ec12e3a9e Mon Sep 17 00:00:00 2001
From: Philipp Frank <philipp@mpa-garching.mpg.de>
Date: Wed, 22 Jun 2022 13:16:15 +0200
Subject: [PATCH] add comparison to gt

---
 data/mock_signal.npz | Bin 0 -> 524554 bytes
 demo_radio.ipynb     |  76 +++++++++++++++++++++++++++++++++----------
 2 files changed, 58 insertions(+), 18 deletions(-)
 create mode 100644 data/mock_signal.npz

diff --git a/data/mock_signal.npz b/data/mock_signal.npz
new file mode 100644
index 0000000000000000000000000000000000000000..62e13b67caf73c63938a9c6e6a5bd1490f5bd947
GIT binary patch
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literal 0
HcmV?d00001

diff --git a/demo_radio.ipynb b/demo_radio.ipynb
index fc4269f..71e1329 100644
--- a/demo_radio.ipynb
+++ b/demo_radio.ipynb
@@ -242,6 +242,26 @@
    "source": [
     "from IPython.display import clear_output\n",
     "\n",
+    "def _imshow(figure, field, ax, title, vmin = 0, vmax = None, cmap='afmhot'):\n",
+    "    im0 = ax.imshow(field.val.T, origin = 'lower', extent = [0, x_fov, 0, y_fov], cmap=cmap,\n",
+    "                    vmin = vmin, vmax = vmax)\n",
+    "    figure.colorbar(im0, ax=ax)\n",
+    "    ax.set_xlabel(r'x $\\left(\\mu as\\right)$')\n",
+    "    ax.set_ylabel(r'y $\\left(\\mu as\\right)$')\n",
+    "    ax.set_title(title)\n",
+    "\n",
+    "def _plot_histogram(nodes, hist, ax, title, ):\n",
+    "    nodes = 0.5*(nodes[1:] + nodes[:-1])\n",
+    "    ax.bar(nodes, hist)\n",
+    "    rs = np.arange(nodes[0], nodes[-1], 0.1)\n",
+    "    gauss = np.exp(-0.5*rs**2)/np.sqrt(2*np.pi)\n",
+    "    ax.plot(rs, gauss, 'k--', label = r'standard Gauss')\n",
+    "    ax.set_xlabel(r'$r$')\n",
+    "    ax.set_ylabel(r'$P(r)$')\n",
+    "    ax.set_title(title)\n",
+    "    ax.legend()\n",
+    "    ax.set_xlim([nodes[0], nodes[-1]])\n",
+    "\n",
     "def plotting_callback(samples):\n",
     "    clear_output(wait=True)    \n",
     "\n",
@@ -260,21 +280,15 @@
     "        wgt, nodes = np.histogram(rr, nbins, range=[-5, 5])\n",
     "        hist += wgt/wgt.sum()/(nodes[1]-nodes[0])\n",
     "    hist /= samples.n_samples\n",
-    "    nodes = 0.5*(nodes[1:] + nodes[:-1])\n",
     "\n",
     "\n",
     "\n",
     "    fig, axs = plt.subplots(nrows=2, ncols=2, figsize=(15,13))\n",
     "    axs = axs.flatten()\n",
-    "    im0 = axs[0].imshow(sky_mean.val.T, origin = 'lower', extent = [0, x_fov, 0, y_fov], cmap='afmhot')\n",
-    "    fig.colorbar(im0, ax=axs[0])\n",
-    "    axs[0].set_xlabel(r'x $\\left(\\mu as\\right)$')\n",
-    "    axs[0].set_ylabel(r'y $\\left(\\mu as\\right)$')\n",
-    "    axs[0].set_title('Sky brightness mean')\n",
-    "    im1 = axs[1].imshow(sky_var.sqrt().val.T, origin = 'lower', extent = [0, x_fov, 0, y_fov])\n",
-    "    fig.colorbar(im1, ax=axs[1])\n",
-    "    axs[1].set_xlabel(r'x $\\left(\\mu as\\right)$')\n",
-    "    axs[1].set_title('Sky brightness std')\n",
+    "\n",
+    "    _imshow(fig, sky_mean, axs[0], 'Sky brightness mean', vmax = 2e19)\n",
+    "    _imshow(fig, sky_var.sqrt(), axs[1], 'Sky brightness std', cmap = 'viridis')\n",
+    "\n",
     "    axs[1].yaxis.set_visible(False)\n",
     "    k_lengths = pspec_mean.domain[0].k_lengths[1:]\n",
     "    lbl = 'samples'\n",
@@ -290,14 +304,9 @@
     "    axs[2].set_title(r'Power-spectrum of log-sky brightness')\n",
     "    axs[2].legend()\n",
     "\n",
-    "    axs[3].bar(nodes, hist)\n",
-    "    rs = np.arange(-5, 5, 0.1)\n",
-    "    gauss = np.exp(-0.5*rs**2)/np.sqrt(2*np.pi)\n",
-    "    axs[3].plot(rs, gauss, 'k--', label = r'standard Gauss')\n",
-    "    axs[3].set_xlabel(r'$r$')\n",
-    "    axs[3].set_ylabel(r'$P(r)$')\n",
-    "    axs[3].set_title(r'Inverse noise weighted data residual ($r$) distribution ($P(r)$)')\n",
-    "    axs[3].legend()\n",
+    "    _plot_histogram(nodes, hist, axs[3], \n",
+    "                r'Inverse noise weighted data residual ($r$) distribution ($P(r)$)')\n",
+    "\n",
     "    fig.tight_layout()\n",
     "    plt.show();"
    ]
@@ -342,6 +351,7 @@
     "# generation and optimization.\n",
     "n_iterations = 15 # Total number of iterations. \n",
     "n_samples = (lambda iiter: 2 if iiter < 10 else 5) # Number of samples used for KL approximation\n",
+    "\n",
     "minimizer = (lambda iiter: minimizer_early if iiter < 10 else minimizer_late) # When to use which optimizer\n",
     "minimizer_sampling = (lambda iiter: None if iiter < 10 else ift.NewtonCG(ic_sampling_nl)) # initially MGVI, \n",
     "                                                                                          # later geoVI\n",
@@ -353,6 +363,36 @@
     "                            output_directory=\"mock_inference\", overwrite=True)\n"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Comparison of posterior to ground truth\n",
+    "======================================="
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "mock_sky = np.load('data/mock_signal.npz')['signal']\n",
+    "mock_sky = ift.makeField(space, mock_sky)\n",
+    "\n",
+    "sky_mean, sky_var = samples.sample_stat(sky_model)\n",
+    "sky_samples = list(s for s in samples.iterator(sky_model))\n",
+    "\n",
+    "fig, axs = plt.subplots(nrows=3, ncols=2, figsize = (15,18))\n",
+    "_imshow(fig, mock_sky, axs[0,0], 'Sky brightness ground truth', vmax = 2e19)\n",
+    "_imshow(fig, sky_mean, axs[0,1], 'Sky brightness mean', vmax = 2e19)\n",
+    "_imshow(fig, sky_var.sqrt()/sky_mean, axs[1,0], 'Sky brightness relative uncertainty')\n",
+    "_imshow(fig, sky_samples[0], axs[1,1], 'Sky brightness posterior sample (1)', vmax = 2e19)\n",
+    "_imshow(fig, sky_samples[1], axs[2,0], 'Sky brightness posterior sample (2)', vmax = 2e19)\n",
+    "_imshow(fig, sky_samples[2], axs[2,1], 'Sky brightness posterior sample (3)', vmax = 2e19)\n",
+    "fig.tight_layout()\n"
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": null,
-- 
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