From b6377f6a0d4f48ecde96525d75233cc8f5dc45c6 Mon Sep 17 00:00:00 2001
From: beckynevin <beckynevin@gmail.com>
Date: Wed, 27 Sep 2023 17:17:27 -0600
Subject: [PATCH] L and a_g are still not lining up with analytic expectation

---
 .../error_propagation_demonstration.ipynb     | 403 ++++++++++++++----
 1 file changed, 326 insertions(+), 77 deletions(-)

diff --git a/notebooks/error_propagation_demonstration.ipynb b/notebooks/error_propagation_demonstration.ipynb
index faf9703..47e48cd 100644
--- a/notebooks/error_propagation_demonstration.ipynb
+++ b/notebooks/error_propagation_demonstration.ipynb
@@ -299,7 +299,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 23,
+   "execution_count": 100,
    "id": "1080e951",
    "metadata": {},
    "outputs": [],
@@ -311,7 +311,7 @@
     "        dx_dthing = true_L * np.cos(true_theta * np.cos(np.sqrt(true_a / true_L) * time)) * \\\n",
     "              np.cos(np.sqrt(true_a / true_L) * time) * dthing\n",
     "    if wrt == 'L':\n",
-    "        dx_dthing = (0.5 * true_theta * time * np.sqrt(true_a / true_L**2) * np.sin(time * np.sqrt(true_a / true_L)) * \\\n",
+    "        dx_dthing = (0.5 * true_theta * time * np.sqrt(true_a / true_L) * np.sin(time * np.sqrt(true_a / true_L)) * \\\n",
     "             np.cos(true_theta * np.cos(time * np.sqrt(true_a / true_L))) + \\\n",
     "             np.sin(true_theta * np.cos(time * np.sqrt(true_a / true_L)))) * dthing\n",
     "    if wrt == 'a_g':\n",
@@ -332,13 +332,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 29,
+   "execution_count": 49,
    "id": "41ed2a6d",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -365,15 +365,19 @@
     "\n",
     "\n",
     "# try to do this for multiple times\n",
-    "dx_list = []\n",
+    "dx_list_below = []\n",
+    "dx_list_above = []\n",
     "for t in time:\n",
-    "    dx_list.append(calc_error_prop(true_L, true_theta, true_a,\n",
+    "    dx_list = calc_error_prop(true_L, true_theta, true_a,\n",
     "                              percent_error * true_theta,\n",
-    "                              time = t, wrt = 'theta_0'))\n",
+    "                              time = t, wrt = 'theta_0')\n",
+    "    dx_list_below.append(dx_list)\n",
+    "    dx_list_above.append(3 * dx_list)\n",
     "\n",
-    "plt.scatter(time, pendulum_noiseless_one - dx_list, label = '-dx as a function of time')\n",
-    "plt.scatter(time, pendulum_noiseless_one + dx_list, label = '+dx as a function of time')\n",
-    "plt.scatter(time, dx_list, label = '+dx as a function of time')\n",
+    "#plt.scatter(time, pendulum_noiseless_one - dx_list, s = 0.2, label = '-dx as a function of time')\n",
+    "#plt.scatter(time, pendulum_noiseless_one + dx_list, s = 0.2, label = '+dx as a function of time')\n",
+    "plt.scatter(time, dx_list_below, s = 0.2, label = '+dx', color = 'purple')\n",
+    "plt.scatter(time, dx_list_above, s = 0.2, label = '-dx', color = 'purple')\n",
     "\n",
     "plt.scatter(time, pendulum_noiseless, label = 'Noise free draws', \n",
     "            color = '#EDCBB1')\n",
@@ -385,6 +389,14 @@
     "plt.show()\n"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "id": "e8af2dff-5eac-4840-97f1-bcb2c8214926",
+   "metadata": {},
+   "source": [
+    "Great, looks like our expectation of the noise level from analytic error propagation matches that we get from many draws of the noisy pendulum. Another way to visualize this is to build histograms for a specific moment in time."
+   ]
+  },
   {
    "cell_type": "markdown",
    "id": "042895e6",
@@ -395,7 +407,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 82,
+   "execution_count": 51,
    "id": "ec1379c9",
    "metadata": {},
    "outputs": [
@@ -404,29 +416,12 @@
      "output_type": "stream",
      "text": [
       "$\\theta_0$ =  0.031415926535897934 % error =  0.5 absolute error =  0.015707963267948967\n",
-      "x =  -0.023558314375243878 dx =  -0.011011704799075265\n"
+      "x =  -0.022026972693845168 dx =  -0.011011704799075265\n"
      ]
     },
     {
      "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "one time 0.75\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -443,62 +438,154 @@
     "print(r'$\\theta_0$ = ', true_theta, r'% error = ', percent_error, 'absolute error = ', percent_error * true_theta)\n",
     "print('x = ', pendulum_noiseless_one, 'dx = ', dx_dtheta_0)\n",
     "\n",
-    "plt.clf()\n",
-    "\n",
-    "#plt.plot(time, pendulum_noisy, color = '#832161')\n",
-    "\n",
-    "#plt.plot(time,  dx   , color = 'red', label = 'Expected error')\n",
-    "plt.scatter(one_time, dx_dtheta_0 + pendulum_noiseless_one, color = 'red',\n",
-    "            label = 'Expected error + std')\n",
-    "plt.scatter(one_time, -dx_dtheta_0 + pendulum_noiseless_one, color = 'red',\n",
-    "            label = 'Expected error - std')\n",
     "\n",
     "# first plot the predicted scatter\n",
     "analytic_noise = []\n",
     "for r in range(1000):\n",
     "    rs = np.random.RandomState()#2147483648)# \n",
     "    attribute = rs.normal(loc=0, scale=1)\n",
-    "    '''\n",
-    "    print('random number', attribute)\n",
-    "    print('dx_dtheta_0', dx_dtheta_0)\n",
-    "    print('pendulum_noiseless_one', pendulum_noiseless_one)\n",
-    "    print('the noise we are adding to this', attribute * dx_dtheta_0)\n",
-    "    STOP\n",
-    "    '''\n",
-    "    plt.scatter(one_time, attribute * dx_dtheta_0 + pendulum_noiseless_one, color = 'orange', s= 0.1)#, label = 'Expected error plus gaussian random noise')\n",
     "    analytic_noise.append(attribute * dx_dtheta_0 + pendulum_noiseless_one)\n",
     "# then also doing 100 draws from the pendulum\n",
     "noisy_pendulum = []\n",
     "for r in range(1000):\n",
     "    pendulum_noisy_one = pendulum.create_object(one_time, noiseless=False)\n",
     "    noisy_pendulum.append(pendulum_noisy_one)\n",
-    "    if r == 0:\n",
-    "        plt.scatter(one_time+2, pendulum_noisy_one,\n",
-    "                    color = '#832161', s = 0.1, label = 'Draws from DeepBench')\n",
-    "    else:\n",
-    "        plt.scatter(one_time+2, pendulum_noisy_one,\n",
-    "                    color = '#832161', s = 0.1)#label = 'Noisy draws', \n",
-    "plt.scatter(one_time+1, pendulum_noiseless_one,\n",
-    "            label = 'Noise free draws', color = '#EDCBB1')\n",
-    "plt.axhline(y = pendulum_noiseless_one, color = '#EDCBB1')\n",
-    "legend = plt.legend(loc=\"lower left\", edgecolor=\"black\")\n",
+    "\n",
+    "bins = 20\n",
+    "plt.clf()\n",
+    "# in order to have the same bins for both, do this:\n",
+    "bin_height, bin_center = np.histogram(analytic_noise, bins = bins)\n",
+    "plt.hist(analytic_noise,\n",
+    "         bins = bin_center, color = '#FFC49B', alpha = 0.5,\n",
+    "         label = 'analytic noise expectation',\n",
+    "         histtype='step', fill = True)\n",
+    "plt.hist(noisy_pendulum,\n",
+    "         bins = bin_center, color = '#294C60', alpha = 0.5,\n",
+    "         label = 'noisy draws from pendulum',\n",
+    "         histtype='step', fill = True)\n",
+    "plt.legend()\n",
+    "plt.xlabel('x position')\n",
+    "plt.axvline(x = pendulum_noiseless_one, color = 'black')\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "40c65cca",
+   "metadata": {},
+   "source": [
+    "Do these match? Roughly yes."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "676bc07d-d84e-4bcb-93d7-3c86a984cda0",
+   "metadata": {},
+   "source": [
+    "Let's look at this same thing for introducing noise on the $L$ parameter, which has two components to the derivative."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "c7355572-368d-4c10-b416-5721cadb07c8",
+   "metadata": {},
+   "source": [
+    "First instantiate the pendulum again with different noise"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 103,
+   "id": "b45ff915-981b-4a68-bb61-e2f4f34ed24d",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "true_L = 1.0\n",
+    "true_theta = np.pi / 100\n",
+    "true_a = 9.8\n",
+    "# here, we will introduce a 50% error on the L parameter\n",
+    "# and no error on any other parameters\n",
+    "percent_error = 0.5\n",
+    "\n",
+    "# generate a pendulum object from deepbench\n",
+    "pendulum = Pendulum(\n",
+    "            pendulum_arm_length=true_L,\n",
+    "            starting_angle_radians=true_theta,\n",
+    "            acceleration_due_to_gravity=true_a,\n",
+    "            noise_std_percent={\n",
+    "                \"pendulum_arm_length\": percent_error,\n",
+    "                \"starting_angle_radians\": 0.0,\n",
+    "                \"acceleration_due_to_gravity\": 0.0,\n",
+    "            },\n",
+    "        )"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 104,
+   "id": "9794fb85-9f74-4937-9b97-ea5a4eae5a5a",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "pendulum_noisy_list = np.zeros((len(time),100))\n",
+    "for r in range(100):\n",
+    "    pendulum_noisy_list[:,r] = pendulum.create_object(time, noiseless=False)\n",
+    "pendulum_noiseless = pendulum.create_object(time, noiseless=True)\n",
+    "\n",
+    "# gotta add this line because there's some bug that's generating nans in deepbench\n",
+    "# i think its related to the fact that we have some square roots so when a or L becomes negative we\n",
+    "# are in trouble\n",
+    "pendulum_noisy_list = np.ma.masked_invalid(pendulum_noisy_list)\n",
+    "\n",
+    "# now take the mean and standard deviation\n",
+    "mean_trajectory = np.mean(pendulum_noisy_list, axis = 1)\n",
+    "std_trajectory = np.std(pendulum_noisy_list, axis = 1)\n",
+    "\n",
+    "plt.clf()\n",
+    "plt.plot(time, pendulum_noiseless, color = '#EDCBB1')\n",
+    "plt.scatter(time, pendulum_noiseless, label = 'Noise free draws', \n",
+    "            color = '#EDCBB1')\n",
+    "plt.fill_between(time, mean_trajectory - std_trajectory, mean_trajectory + std_trajectory,\n",
+    "                 color = 'grey', alpha = 0.5)\n",
+    "plt.plot(time, mean_trajectory, color = 'grey')\n",
+    "legend = plt.legend(loc=\"upper right\", edgecolor=\"black\")\n",
     "legend.get_frame().set_alpha(1.0)\n",
     "plt.xlabel('time [s]')\n",
     "plt.ylabel('x position of pendulum')\n",
-    "plt.show()\n",
+    "plt.axvline(x = (np.pi/2)/np.sqrt(true_a/true_L), color = 'black', ls = '--')\n",
+    "plt.axvline(x = (3 * np.pi/2)/np.sqrt(true_a/true_L), color = 'black', ls = '--')\n",
     "\n",
-    "print('one time', one_time)"
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "0367b3b2-c85e-4b08-9cbc-c4c2fada8231",
+   "metadata": {},
+   "source": [
+    "Comparing this to the analytic expectation."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 83,
-   "id": "40378a13",
+   "execution_count": 105,
+   "id": "0c91058d-22b4-475a-9e15-e8ba208b0e3b",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -508,29 +595,191 @@
     }
    ],
    "source": [
-    "bins = 20\n",
     "plt.clf()\n",
-    "plt.hist(analytic_noise,\n",
-    "         bins = bins, color = '#FFC49B', alpha = 0.5,\n",
-    "         label = 'analytic noise expectation',\n",
-    "         histtype='step', fill = True)\n",
-    "plt.hist(noisy_pendulum,\n",
-    "         bins = bins, color = '#294C60', alpha = 0.5,\n",
-    "         label = 'noisy draws from pendulum',\n",
-    "         histtype='step', fill = True)\n",
-    "plt.legend()\n",
-    "plt.xlabel('x position')\n",
-    "plt.axvline(x = pendulum_noiseless_one, color = 'black')\n",
-    "plt.show()"
+    "plt.fill_between(time, mean_trajectory - std_trajectory, mean_trajectory + std_trajectory,\n",
+    "                 color = 'grey', alpha = 0.5)\n",
+    "plt.plot(time, mean_trajectory, color = 'grey')\n",
+    "\n",
+    "plt.xlabel('time [s]')\n",
+    "plt.ylabel('x position of pendulum')\n",
+    "\n",
+    "\n",
+    "\n",
+    "# try to do this for multiple times\n",
+    "dx_list_below = []\n",
+    "dx_list_above = []\n",
+    "for t in time:\n",
+    "    dx_list = calc_error_prop(true_L, true_theta, true_a,\n",
+    "                              percent_error * true_L,\n",
+    "                              time = t, wrt = 'L')\n",
+    "    dx_list_below.append(dx_list)\n",
+    "    dx_list_above.append(3 * dx_list)\n",
+    "\n",
+    "#plt.scatter(time, pendulum_noiseless_one - dx_list, s = 0.2, label = '-dx as a function of time')\n",
+    "#plt.scatter(time, pendulum_noiseless_one + dx_list, s = 0.2, label = '+dx as a function of time')\n",
+    "plt.scatter(time, dx_list_below, s = 0.2, label = '+dx', color = 'purple')\n",
+    "plt.scatter(time, dx_list_above, s = 0.2, label = '-dx', color = 'purple')\n",
+    "\n",
+    "plt.scatter(time, pendulum_noiseless, label = 'Noise free draws', \n",
+    "            color = '#EDCBB1')\n",
+    "\n",
+    "legend = plt.legend(loc=\"upper right\", edgecolor=\"black\")\n",
+    "legend.get_frame().set_alpha(1.0)\n",
+    "\n",
+    "\n",
+    "plt.show()\n"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "40c65cca",
+   "id": "1b585e13-5441-4965-9b79-8552bcb6f1e6",
+   "metadata": {},
+   "source": [
+    "Doing the same for $a_g$."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 97,
+   "id": "f9f5eef3-6506-4007-8926-c565d2c32f1e",
    "metadata": {},
+   "outputs": [],
    "source": [
-    "Is the noisy draws from the pendulum asymmetric? It certainly seems so here. I'll need to do some troubleshooting."
+    "true_L = 1.0\n",
+    "true_theta = np.pi / 100\n",
+    "true_a = 9.8\n",
+    "# here, we will introduce a 50% error on the a_g parameter\n",
+    "# and no error on any other parameters\n",
+    "percent_error = 0.5\n",
+    "\n",
+    "# generate a pendulum object from deepbench\n",
+    "pendulum = Pendulum(\n",
+    "            pendulum_arm_length=true_L,\n",
+    "            starting_angle_radians=true_theta,\n",
+    "            acceleration_due_to_gravity=true_a,\n",
+    "            noise_std_percent={\n",
+    "                \"pendulum_arm_length\": 0.0,\n",
+    "                \"starting_angle_radians\": 0.0,\n",
+    "                \"acceleration_due_to_gravity\": percent_error,\n",
+    "            },\n",
+    "        )"
    ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 98,
+   "id": "344aa4a5-f0a4-466a-adaf-6f8af76ec264",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "pendulum_noisy_list = np.zeros((len(time),100))\n",
+    "for r in range(100):\n",
+    "    noisy_trajectory = pendulum.create_object(time, noiseless=False)\n",
+    "    if np.isnan(noisy_trajectory.any()):\n",
+    "        print(noisy_trajectory)\n",
+    "        STOP\n",
+    "    pendulum_noisy_list[:,r] = noisy_trajectory\n",
+    "\n",
+    "# gotta add this line because there's some bug that's generating nans in deepbench\n",
+    "# i think its related to the fact that we have some square roots so when a or L becomes negative we\n",
+    "# are in trouble\n",
+    "pendulum_noisy_list = np.ma.masked_invalid(pendulum_noisy_list)\n",
+    "\n",
+    "pendulum_noiseless = pendulum.create_object(time, noiseless=True)\n",
+    "\n",
+    "# now take the mean and standard deviation\n",
+    "mean_trajectory = np.mean(pendulum_noisy_list, axis = 1)\n",
+    "std_trajectory = np.std(pendulum_noisy_list, axis = 1)\n",
+    "\n",
+    "\n",
+    "plt.clf()\n",
+    "plt.plot(time, pendulum_noiseless, color = '#EDCBB1')\n",
+    "plt.scatter(time, pendulum_noiseless, label = 'Noise free draws', \n",
+    "            color = '#EDCBB1')\n",
+    "plt.fill_between(time, mean_trajectory - std_trajectory, mean_trajectory + std_trajectory,\n",
+    "                 color = 'grey', alpha = 0.5)\n",
+    "plt.plot(time, mean_trajectory, color = 'grey')\n",
+    "legend = plt.legend(loc=\"upper right\", edgecolor=\"black\")\n",
+    "legend.get_frame().set_alpha(1.0)\n",
+    "plt.xlabel('time [s]')\n",
+    "plt.ylabel('x position of pendulum')\n",
+    "plt.axvline(x = (np.pi/2)/np.sqrt(true_a/true_L), color = 'black', ls = '--')\n",
+    "plt.axvline(x = (3 * np.pi/2)/np.sqrt(true_a/true_L), color = 'black', ls = '--')\n",
+    "\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 99,
+   "id": "30717cae-34b4-4f10-94d1-ac0fb460b2e6",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plt.clf()\n",
+    "plt.fill_between(time, mean_trajectory - std_trajectory, mean_trajectory + std_trajectory,\n",
+    "                 color = 'grey', alpha = 0.5)\n",
+    "plt.plot(time, mean_trajectory, color = 'grey')\n",
+    "\n",
+    "plt.xlabel('time [s]')\n",
+    "plt.ylabel('x position of pendulum')\n",
+    "\n",
+    "\n",
+    "\n",
+    "# try to do this for multiple times\n",
+    "dx_list_below = []\n",
+    "dx_list_above = []\n",
+    "for t in time:\n",
+    "    dx_list = calc_error_prop(true_L, true_theta, true_a,\n",
+    "                              percent_error * true_a,\n",
+    "                              time = t, wrt = 'a_g')\n",
+    "    dx_list_below.append(dx_list)\n",
+    "    dx_list_above.append(3 * dx_list)\n",
+    "\n",
+    "#plt.scatter(time, pendulum_noiseless_one - dx_list, s = 0.2, label = '-dx as a function of time')\n",
+    "#plt.scatter(time, pendulum_noiseless_one + dx_list, s = 0.2, label = '+dx as a function of time')\n",
+    "plt.scatter(time, dx_list_below, s = 0.2, label = '+dx', color = 'purple')\n",
+    "plt.scatter(time, dx_list_above, s = 0.2, label = '-dx', color = 'purple')\n",
+    "\n",
+    "plt.scatter(time, pendulum_noiseless, label = 'Noise free draws', \n",
+    "            color = '#EDCBB1')\n",
+    "\n",
+    "legend = plt.legend(loc=\"upper right\", edgecolor=\"black\")\n",
+    "legend.get_frame().set_alpha(1.0)\n",
+    "\n",
+    "\n",
+    "plt.show()\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "61d7d5eb-d957-4b09-9463-a7936287a74c",
+   "metadata": {},
+   "outputs": [],
+   "source": []
   }
  ],
  "metadata": {