From b18e0e88d1dbc62d127bc6d355fbf7764235b9de Mon Sep 17 00:00:00 2001
From: Mauro Donega <mauro.donega@cern.ch>
Date: Tue, 30 Mar 2021 18:33:06 +0200
Subject: [PATCH] likelihoods by hand

---
 notebooks/binnedLikelihood.ipynb  |   3 +-
 notebooks/ubinnedLikelihood.ipynb | 200 ++++--------------------------
 2 files changed, 22 insertions(+), 181 deletions(-)

diff --git a/notebooks/binnedLikelihood.ipynb b/notebooks/binnedLikelihood.ipynb
index 080fc3a..83c2523 100644
--- a/notebooks/binnedLikelihood.ipynb
+++ b/notebooks/binnedLikelihood.ipynb
@@ -4,8 +4,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "# Solutions 7\n",
-    "Maximum Likelihood method"
+    "# Binned Maximum Likelihood fit"
    ]
   },
   {
diff --git a/notebooks/ubinnedLikelihood.ipynb b/notebooks/ubinnedLikelihood.ipynb
index 080fc3a..454051a 100644
--- a/notebooks/ubinnedLikelihood.ipynb
+++ b/notebooks/ubinnedLikelihood.ipynb
@@ -4,13 +4,12 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "# Solutions 7\n",
-    "Maximum Likelihood method"
+    "# Unbinned Maximum Likelihood fit"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 205,
+   "execution_count": 10,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -24,7 +23,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 151,
+   "execution_count": 2,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -65,7 +64,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 228,
+   "execution_count": 3,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -85,7 +84,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 347,
+   "execution_count": 4,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -105,7 +104,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 355,
+   "execution_count": 5,
    "metadata": {},
    "outputs": [
     {
@@ -119,12 +118,14 @@
     },
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
        "<Figure size 432x288 with 1 Axes>"
       ]
      },
-     "metadata": {},
+     "metadata": {
+      "needs_background": "light"
+     },
      "output_type": "display_data"
     }
    ],
@@ -158,7 +159,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 350,
+   "execution_count": 6,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -178,7 +179,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 353,
+   "execution_count": 7,
    "metadata": {},
    "outputs": [
     {
@@ -203,17 +204,19 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 354,
+   "execution_count": 8,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
        "<Figure size 432x288 with 1 Axes>"
       ]
      },
-     "metadata": {},
+     "metadata": {
+      "needs_background": "light"
+     },
      "output_type": "display_data"
     }
    ],
@@ -234,16 +237,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 301,
+   "execution_count": 9,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "[[11.95694692 -3.06065748]\n",
-      " [-3.06065748  5.72672173]] \n",
-      "sigma(position): 3.4578818544955507 sigma(width): 2.3930569834299082\n"
+      "[[10.89069778 -2.44352105]\n",
+      " [-2.44352105  4.98117151]] \n",
+      "sigma(position): 3.300105723005907 sigma(width): 2.231853827463106\n"
      ]
     }
    ],
@@ -264,167 +267,6 @@
     "print(A, \"\\nsigma(position):\", np.sqrt(A[0,0]), \"sigma(width):\", np.sqrt(A[1,1]))"
    ]
   },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "## Binned ML fit"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "With the same data as above, we now perform a binned ML fit and compare with the unbinned fit.\n",
-    "First, create a histogram of the data using np.histogram."
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 374,
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "[ 1 19 26 10  7  5  5  2  0  0]\n",
-      "[ 70.  80.  90. 100. 110. 120. 130. 140. 150. 160. 170.]\n"
-     ]
-    }
-   ],
-   "source": [
-    "nBins = 10\n",
-    "histoMax = 170\n",
-    "histoMin = 70\n",
-    "binWidth = (histoMax-histoMin)/nBins\n",
-    "h0 = np.histogram(measurements, bins=nBins, range=(histoMin, histoMax))\n",
-    "print(h0[0])\n",
-    "print(h0[1])"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "Compute the binned NLL:"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 375,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "def nll_binned(params):\n",
-    "    # params is a list of [position, sigma]\n",
-    "    expected = [likelihood_point(x+binWidth/2, params[0], params[1])*(binWidth/2)*sum(h0[0]) for x in h0[1]]\n",
-    "    return sum([-np.log(expected[i]**h0[0][i]) for i in range(nBins)])"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "Minimize the binned NLL:"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 376,
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "     fun: -138.93433719876123\n",
-      "     jac: array([-1.90734863e-06,  1.90734863e-06])\n",
-      " message: 'Optimization terminated successfully.'\n",
-      "    nfev: 60\n",
-      "     nit: 6\n",
-      "    njev: 15\n",
-      "  status: 0\n",
-      " success: True\n",
-      "       x: array([116.43876363,  15.33581135])\n"
-     ]
-    }
-   ],
-   "source": [
-    "solution_binned=minimize(nll_binned, [120.0, 10], method='CG')\n",
-    "print(solution_binned)"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "Make a contour plot of the 1,2, and 3 $\\sigma$ contours for the binned NLL and overlay it with the unbinned contours."
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 377,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<Figure size 432x288 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
-   "source": [
-    "scanA = np.linspace(110.0,130.0,50)\n",
-    "scanB = np.linspace(5,20,50)\n",
-    "Z_binned = [[nll_binned([a,b]) - solution_binned.fun for b in scanB] for a in scanA]\n",
-    "\n",
-    "fig1, ax2 = plt.subplots(constrained_layout=True)\n",
-    "\n",
-    "p1 = ax2.contour(scanB, scanA, Z, [0.01,0.5, 2.0, 4.5])\n",
-    "p2 = ax2.contour(scanB, scanA, Z_binned, [0.01,0.5, 2.0, 4.5], linestyles=\"dotted\")\n",
-    "plt.show()"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "Repeat the same for 50 bins:"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 373,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<Figure size 432x288 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
-   "source": [
-    "scanA = np.linspace(110.0,130.0,50)\n",
-    "scanB = np.linspace(5,20,50)\n",
-    "Z_binned = [[nll_binned([a,b]) - solution_binned.fun for b in scanB] for a in scanA]\n",
-    "\n",
-    "fig1, ax2 = plt.subplots(constrained_layout=True)\n",
-    "\n",
-    "p1 = ax2.contour(scanB, scanA, Z, [0.01,0.5, 2.0, 4.5])\n",
-    "p2 = ax2.contour(scanB, scanA, Z_binned, [0.01,0.5, 2.0, 4.5], linestyles=\"dotted\")\n",
-    "plt.show()"
-   ]
-  },
   {
    "cell_type": "code",
    "execution_count": null,
-- 
GitLab