Commit b496dd5e authored by Stefan Mauerberger's avatar Stefan Mauerberger
Browse files

Comparison of error density and Gaussian proxy

parent 19a5ee51
......@@ -17,10 +17,10 @@
"\n",
"from matplotlib import pyplot as plt\n",
"\n",
"from scipy.stats import uniform, gamma\n",
"from scipy.stats import uniform, gamma, norm\n",
"\n",
"import pyfield\n",
"from corbass.utils import load, nez2dif"
"from corbass.utils import load, nez2dif, dif2nez"
]
},
{
......@@ -166,7 +166,7 @@
"cell_type": "markdown",
"metadata": {},
"source": [
"We draw some samples and plot the result, to eye-check whether the procedure works:"
"We draw some samples and plot the result to eye-check whether the procedure works. In addition we plot contour lines of the Gaussian proxy and the vMF density to illustrate how far off the proxy error model is."
]
},
{
......@@ -176,9 +176,9 @@
"outputs": [
{
"data": {
"image/png": 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/BFwHrAUeA/5JVT0zRrvHgOeAI8BIVQ1PX5WSJElT19XI1keA71XVOuB7ve3xvLmqXmPQkiRJs1FXYetK4HO9z58D3tlRHZIkSU11FbZWVNV2gN7vF43TroBvJ9mUZP20VSdJktQnze7ZSvJdYOUYhz56Gqf59araluRFwHeSPFRVt47T33pgPcCaNWtOu15JkqQWmoWtqrp0vGNJnkxyXlVtT3IesGOcc2zr/d6R5HrgYmDMsFVVG4ANAMPDwzXV+iVJkvqhq2nEG4EP9D5/APjqiQ2SLEly5vHPwFuB+6atQkmSpD7oKmz9R+CyJH8HXNbbJsn5SW7qtVkB3J7kXuBO4OtV9c1OqpUkSZqkTtbZqqpdwFvG2L8NuKL3eQtw0TSXJkmS1FeuIC9JktSQYUuSJKkhw5YkSVJDhi1JkqSGDFuSJEkNGbYkSZIaMmxJkiQ1ZNiSJElqyLAlSZLUkGFLkiSpIcOWJElSQ4YtSZKkhgxbkiRJDRm2JEmSGjJsSZIkNWTYkiRJasiwJUmS1JBhS5IkqSHDliRJUkOGLUmSpIYMW5IkSQ0ZtiRJkhoybEmSJDVk2JIkSWrIsCVJktSQYUuSJKkhw5YkSVJDhi1JkqSGDFuSJEkNGbYkSZIaMmxJkiQ1ZNiSJElqyLAlSZLUkGFLkiSpIcOWJElSQ52ErSTvTXJ/kqNJhk/S7vIkDyfZnOQj01mjJElSP3Q1snUf8G7g1vEaJBkAPg28DXgl8P4kr5ye8iRJkvpjsItOq+pBgCQna3YxsLmqtvTafhm4EnigeYGSJEl9MpPv2boAeGLU9tbevjElWZ9kY5KNO3fubF6cJEnSRDQb2UryXWDlGIc+WlVfncgpxthX4zWuqg3ABoDh4eFx20mSJE2nZmGrqi6d4im2AqtHba8Ctk3xnJIkSdNqJk8j3gWsS3JhkvnAVcCNHdckSZJ0Wrpa+uFdSbYCbwC+nuRbvf3nJ7kJoKpGgA8B3wIeBP6qqu7vol5JkqTJ6uppxOuB68fYvw24YtT2TcBN01iaJElSX83kaURJkqRZz7AlSZLUkGFLkiSpIcOWJElSQ4YtSZKkhgxbkiRJDRm2JEmSGjJsSZIkNWTYkiRJasiwJUmS1JBhS5IkqSHDliRJUkOGLUmSpIYMW5IkSQ0ZtiRJkhoybEmSJDVk2JIkSWrIsCVJktSQYUuSJKkhw5YkSVJDhi1JkqSGDFuSJEkNGbYkSZIaMmxJkiQ1ZNiSJElqyLAlSZLUkGFLkiSpIcOWJElSQ4YtSZKkhgxbkiRJDRm2JEmSGjJsSZIkNWTYkiRJasiwJUmS1FAnYSvJe5Pcn+RokuGTtHssyd8muSfJxumsUZIkqR8GO+r3PuDdwGcn0PbNVfVU43okSZKa6CRsVdWDAEm66F6SJGnazPR7tgr4dpJNSdZ3XYwkSdLpajayleS7wMoxDn20qr46wdP8elVtS/Ii4DtJHqqqW8fpbz2wHmDNmjWTqlmSJKnfmoWtqrq0D+fY1vu9I8n1wMXAmGGrqjYAGwCGh4drqn1LkiT1w4ydRkyyJMmZxz8Db+XYjfWSJEmzRldLP7wryVbgDcDXk3yrt//8JDf1mq0Abk9yL3An8PWq+mYX9UqSJE1WV08jXg9cP8b+bcAVvc9bgIumuTRJkqS+mrHTiJIkSXNBqubeveRJdgKPn8ZXzgVcOLX/vK7teG3b8Lq247Vtw+vazule2xdX1fKxDszJsHW6kmysqnFfG6TJ8bq247Vtw+vajte2Da9rO/28tk4jSpIkNWTYkiRJasiwdcyGrguYo7yu7Xht2/C6tuO1bcPr2k7frq33bEmSJDXkyJYkSVJDhq2eJH+c5IdJ7kny7STnd13TXJDkvyR5qHdtr09yVtc1zRVJ3pvk/iRHk/g00hQluTzJw0k2J/lI1/XMFUmuTbIjia9b66Mkq5PcnOTB3t8Dv9d1TXNBkoVJ7kxyb++6fqIv53Ua8ZgkS6tqT+/zh4FXVtXVHZc16yV5K/D9qhpJ8p8AquoPOy5rTkjyy8BR4LPAH1TVxo5LmrWSDAA/Ai4DtgJ3Ae+vqgc6LWwOSPIbwF7g81X16q7rmSuSnAecV1V3994jvAl4p//NTk2SAEuqam+SIeB24Peq6o6pnNeRrZ7jQatnCWAK7YOq+nZVjfQ27wBWdVnPXFJVD1bVw13XMUdcDGyuqi1VdRj4MnBlxzXNCVV1K/B013XMNVW1varu7n1+DngQuKDbqma/OmZvb3Oo9zPlPGDYGiXJnyR5AvinwMe6rmcO+m3gG10XIY3hAuCJUdtb8R8uzRJJ1gKvBX7QbSVzQ5KBJPcAO4DvVNWUr+sLKmwl+W6S+8b4uRKgqj5aVauBLwIf6rba2eNU17XX5qPACMeurSZoItdWfZEx9jm6rRkvyRnAV4DfP2GGRpNUVUeq6jUcm4m5OMmUp78Hp17W7FFVl06w6V8CXwc+3rCcOeNU1zXJB4C3A28pbxI8Lafx36ymZiuwetT2KmBbR7VIE9K7p+grwBer6n93Xc9cU1XPJrkFuByY0gMeL6iRrZNJsm7U5juAh7qqZS5Jcjnwh8A7qmp/1/VI47gLWJfkwiTzgauAGzuuSRpX70buPwcerKo/7bqeuSLJ8uNPzSdZBFxKH/KATyP2JPkK8HKOPd31OHB1Vf2k26pmvySbgQXArt6uO3zKsz+SvAv4M2A58CxwT1X9ZrdVzV5JrgD+GzAAXFtVf9JxSXNCki8BlwDnAk8CH6+qP++0qDkgyRuB24C/5di/WwD/tqpu6q6q2S/JrwCf49jfA/OAv6qqfzfl8xq2JEmS2nEaUZIkqSHDliRJUkOGLUmSpIYMW5IkSQ0ZtiRJkhoybEmSJDVk2JI06yU5kuSeJPcnuTfJv0ryC3+/Jbkkye4kU1qLKMk/S/KpMfa/KckDSaa02rSkucWwJWkuOFBVr6mqVwGXAVcw/uu2bquqK07cmWRgqkVU1W29viXppwxbkuaUqtoBrAc+1Hulybh6I103J/lLjq3ETZIbkmzqjZKtH9X2g0l+lOSvgV9v+WeQNLe8oF5ELemFoaq29KYRX8SxV8SczMXAq6vq0d72b1fV0733ot3Ve5XXfOATwK8Cu4Gbgf/XpnpJc41hS9JcddJRrVHuHBW0AD7ce+8kwGpgHbASuKWqdgIkuQ54Wd8qlTSnGbYkzTlJXgIcAXZMoPm+Ud+7BLgUeENV7U9yC7Cwd9gXyUqaFO/ZkjSnJFkOXAN8qqpONyAtA57pBa1XAK/v7f8BcEmSc5IMAe/tX8WS5jpHtiTNBYuS3AMMASPAF4A/ncR5vglcneSHwMPAHQBVtT3JHwF/A2wH7gYGAJK8Axiuqo9N9Q8haW7K6f+PnyTNTr1pwj+oqrc37GMt8H+q6tWt+pA0uziNKOmF5DDw6qkuajqeJG8CvgY81eL8kmYnR7YkSZIacmRLkiSpIcOWJElSQ4YtSZKkhgxbkiRJDRm2JEmSGvr/3bJOeq1kQ4MAAAAASUVORK5CYII=\n",
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
"<Figure size 720x360 with 3 Axes>"
]
},
"metadata": {
......@@ -188,18 +188,82 @@
}
],
"source": [
"SF = sample_Fisher(1000, mu=(-1, 0, 0), kappa=kappa);\n",
"fig, ax = plt.subplots(1, 1, figsize=(10, 5))\n",
"\n",
"D = np.arctan2(SF[1], SF[0])\n",
"I = np.arctan2(SF[2], np.sqrt(SF[0]**2 + SF[1]**2))\n",
"DIF_pdm = ( 4, 67, 49) # Decl, incl and F for Potsdam in 2015\n",
"DIF_rky = (-14, 75, 52) # Reykjavik \n",
"DIF_bkg = ( -1, 13, 42) # Bangkok \n",
"\n",
"ax.set_aspect(1)\n",
"ax.set_xlim((-np.pi, np.pi));\n",
"ax.set_xlabel('D [rad.]')\n",
"ax.set_ylim((-np.pi/2., np.pi/2.));\n",
"ax.set_ylabel('I [rad.]')\n",
"ax.scatter(D, I, alpha=0.4);"
"# List of sites \n",
"sites = (DIF_rky, DIF_pdm, DIF_bkg)\n",
"# Subplot axes \n",
"fig, axs = plt.subplots(1, len(sites), figsize=(10, 5))\n",
"axs[0].set_ylabel('I [deg.]') # Y-label only on the left \n",
"\n",
"# Iterate \n",
"for (decl, incl, _), ax in zip(sites, axs):\n",
" # Location parameter \n",
" mu = dif2nez(decl, incl, 1) # w.r.t a Cartesian reference frame \n",
" # Draw samples from vMF distribution \n",
" SF = sample_Fisher(5000, mu=mu, kappa=kappa)\n",
" # Transform drawn samples to decl and incl (intensity == 1)\n",
" D, I, _ = nez2dif(*SF)\n",
"\n",
" # 2d Histogram\n",
" counts, Dedges, Iedges, img = ax.hist2d(D, I, bins=20, cmap='hot_r')\n",
" ax.set_xlabel('D [deg.]') \n",
" \n",
" # Grid to plot density \n",
" Ds, Is = np.mgrid[Dedges.min():Dedges.max():101j, \n",
" Iedges.min():Iedges.max():51j]\n",
" Xs, Ys, Zs = dif2nez(d=Ds, i=Is, f=1) # Transform to Cartesian frame \n",
" # vMF density & normalization w.r.t. [rad.]\n",
" p = np.exp(kappa*(Xs*mu[0] + Ys*mu[1] + Zs*mu[2]))*np.cos(np.deg2rad(Is))\n",
" p*= kappa/(4*np.pi*np.sinh(kappa))\n",
" # Add contour plot \n",
" levels = ax.contour(Ds, Is, p, colors='blue').levels\n",
" \n",
" # Standard deviation for decl and incl \n",
" a95 = 140/np.sqrt(kappa) # 95% confidence cone \n",
" sd_I = 57.3/140*a95 # Standard deviation incl\n",
" sd_D = sd_I/np.cos(np.deg2rad(incl)) # Standard deviation decl\n",
" # Gaussian proxy density\n",
" p = np.exp(-(((decl - Ds)/sd_D)**2 + ((incl - Is)/sd_I)**2)/2)\n",
" # Normalization and conversion to rad to share identical level values\n",
" p/= (2*np.pi*np.deg2rad(sd_D)*np.deg2rad(sd_I))\n",
" ax.contour(Ds, Is, p, levels, colors='green')"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, axs = plt.subplots(1, len(sites), figsize=(10, 5))\n",
"Fs = np.linspace(15, 80, 101)\n",
"# Iterate \n",
"for (_, _, inte), ax in zip(sites, axs):\n",
" ax.plot(Fs, norm(inte, dint/1000).pdf(Fs))\n",
" # Parameters are choosen such, that \n",
" # - the mean coincdes with the intensity \n",
" # - the standard deviation is 8.25 µT\n",
" b = inte/(dint/1000)**2\n",
" a = inte * b\n",
" ax.plot(Fs, gamma(a=a, scale=1/b).pdf(Fs))\n",
" ax.set_xlabel('F [µT]')"
]
},
{
......@@ -212,7 +276,7 @@
},
{
"cell_type": "code",
"execution_count": 7,
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
......@@ -231,7 +295,7 @@
},
{
"cell_type": "code",
"execution_count": 8,
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
......@@ -279,7 +343,7 @@
},
{
"cell_type": "code",
"execution_count": 9,
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
......@@ -315,7 +379,7 @@
},
{
"cell_type": "code",
"execution_count": 10,
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
......@@ -342,7 +406,7 @@
},
{
"cell_type": "code",
"execution_count": 11,
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
......@@ -358,7 +422,7 @@
},
{
"cell_type": "code",
"execution_count": 12,
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
......@@ -374,7 +438,7 @@
},
{
"cell_type": "code",
"execution_count": 13,
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
......@@ -429,7 +493,7 @@
},
{
"cell_type": "code",
"execution_count": 14,
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
......
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