diff --git a/notebooks/error_propagation_demonstration.ipynb b/notebooks/error_propagation_demonstration.ipynb index e7f1e71..a50ce65 100644 --- a/notebooks/error_propagation_demonstration.ipynb +++ b/notebooks/error_propagation_demonstration.ipynb @@ -52,7 +52,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 23, "id": "4a76432d", "metadata": {}, "outputs": [], @@ -62,7 +62,7 @@ "true_a = 9.8\n", "# here, we will introduce a 10% error on the theta parameter\n", "# and no error on any other parameters\n", - "percent_error = 0.1\n", + "percent_error = 0.5\n", "\n", "# generate a pendulum object from deepbench\n", "pendulum = Pendulum(\n", @@ -70,16 +70,20 @@ " 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\": percent_error,\n", + " \"pendulum_arm_length\": percent_error,\n", + " \"starting_angle_radians\": 0.0,\n", " \"acceleration_due_to_gravity\": 0.0,\n", " },\n", - " )" + " )\n", + "# so in deepbench, noise is created by modifying the parameter value,\n", + "# using a random normal centered at the previous parameter value\n", + "# and a standard deviation which is scaled by this value multiplied by \n", + "# the noise_level, which is effectively a true value standard deviation" ] }, { "cell_type": "markdown", - "id": "ac287d23", + "id": "b5903a0a", "metadata": {}, "source": [ "Now demonstrate the noise generation for a a series of moments in time." @@ -87,13 +91,21 @@ }, { "cell_type": "code", - "execution_count": 6, - "id": "4dc36ee3", + "execution_count": 24, + "id": "3a658999", "metadata": {}, "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/rnevin/Library/Caches/pypoetry/virtualenvs/hierarchical-pendulum-draw-DRzT0TL8-py3.9/lib/python3.9/site-packages/deepbench/physics_object/pendulum.py:302: RuntimeWarning: invalid value encountered in sqrt\n", + " np.sqrt(acceleration_values / pendulum_arm_length_values)\n" + ] + }, { "data": { - "image/png": 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", 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", 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" ] @@ -125,7 +137,7 @@ }, { "cell_type": "markdown", - "id": "30119031", + "id": "e12248f7", "metadata": {}, "source": [ "You might notice that the noisy *increases* with time. This is because the equation for how error on the individual parameters propagates is time-dependent. In order to best understand this and avoid a time dependence for the noise, let's understand this for one moment in time." @@ -133,13 +145,13 @@ }, { "cell_type": "code", - "execution_count": 9, - "id": "21fb33c3", + "execution_count": 25, + "id": "3c8d3a77", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -178,21 +190,21 @@ }, { "cell_type": "markdown", - "id": "3dc3140a", + "id": "b1a03c8b", "metadata": {}, "source": [ - "Let's generate a bunch of noisy iterations of this pendulum." + "Let's generate a bunch of noisy iterations of this pendulum object and compare them to our expectation from analytic error propagation." ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 26, "id": "a5223332", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ "
" ] @@ -202,11 +214,6 @@ } ], "source": [ - "\n", - "#dtheta = percent_error * true_theta\n", - "\n", - "\n", - "\n", "plt.clf()\n", "for i in range(100):\n", " pendulum_noisy_one = pendulum.create_object(one_time, noiseless=False)\n", @@ -226,12 +233,14 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 12, "id": "1080e951", "metadata": {}, "outputs": [], "source": [ "# how should this error propagate?\n", + "# it's all partial derivatives\n", + "# dx = d/dL (formula) * dL\n", "\n", "def calc_error_prop(true_L, true_theta, true_a, dthing, time = 0.5, wrt = 'theta_0'):\n", " if wrt == 'theta_0':\n", @@ -247,15 +256,37 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 27, "id": "ec1379c9", "metadata": { "scrolled": false }, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "8.715899550524227e-05\n", + "random number 0.8698932886613321\n", + "dx_dtheta_0 8.715899550524227e-05\n", + "pendulum_noiseless_one -0.01570635019043497\n", + "the noise we are adding to this 7.581902523647346e-05\n" + ] + }, + { + "ename": "NameError", + "evalue": "name 'STOP' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn[27], line 23\u001b[0m\n\u001b[1;32m 21\u001b[0m \u001b[38;5;28mprint\u001b[39m(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mpendulum_noiseless_one\u001b[39m\u001b[38;5;124m'\u001b[39m, pendulum_noiseless_one)\n\u001b[1;32m 22\u001b[0m \u001b[38;5;28mprint\u001b[39m(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mthe noise we are adding to this\u001b[39m\u001b[38;5;124m'\u001b[39m, attribute \u001b[38;5;241m*\u001b[39m dx_dtheta_0)\n\u001b[0;32m---> 23\u001b[0m \u001b[43mSTOP\u001b[49m\n\u001b[1;32m 24\u001b[0m plt\u001b[38;5;241m.\u001b[39mscatter(one_time, attribute \u001b[38;5;241m*\u001b[39m dx_dtheta_0 \u001b[38;5;241m+\u001b[39m pendulum_noiseless_one, color \u001b[38;5;241m=\u001b[39m \u001b[38;5;124m'\u001b[39m\u001b[38;5;124morange\u001b[39m\u001b[38;5;124m'\u001b[39m, s\u001b[38;5;241m=\u001b[39m \u001b[38;5;241m0.1\u001b[39m)\u001b[38;5;66;03m#, label = 'Expected error plus gaussian random noise')\u001b[39;00m\n\u001b[1;32m 25\u001b[0m \u001b[38;5;66;03m# then also doing 100 draws from the pendulum\u001b[39;00m\n", + "\u001b[0;31mNameError\u001b[0m: name 'STOP' is not defined" + ] + }, { "data": { - "image/png": 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", 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1CQkJJiQkxLhcLpOUlOTzeoYz3nnnHZOcnGycTqfp37+/eeyxx0xTU5P3+IQJE0xcXJxxOBzmsssuMxMmTDAHDhzwmaM99X4RXv0AAMD5pyOf3wHGGNN1UQ+1tbUKCwuTx+ORy+Xq6nIAAEA7dOTzm7+NCAAAYBFhCwAAwCLCFgAAgEWELQAAAIsIWwAAABYRtgAAACwibAEAAFhE2AIAALCIsAUAAGARYQsAAMAiwhYAAIBFhC0AAACLCFsAAAAWEbYAAAAsImwBAABYRNgCAACwiLAFAABgEWELAADAIsIWAACARYQtAAAAiwhbAAAAFhG2AAAALCJsAQAAWETYAgAAsIiwBQAAYBFhCwAAwCLCFgAAgEWELQAAAIsIWwAAABYRtgAAACwibAEAAFhE2AIAALCIsAUAAGARYQsAAMAiwhYAAIBFhC0AAACLCFsAAAAWWQtb1dXVysjIkMvlUnh4uDIzM1VXV9fmmJMnTyorK0uRkZEKDQ1Venq6qqqqfPrMmTNHiYmJcjqdGjJkiN8chw4dUkBAgN+2c+dOn341NTXKyspSXFycnE6nrrrqKr322mve45dffnmL82RlZXn73HzzzX7H77///rNYLQAAcKHqZmvijIwMVVZWKj8/X42NjZo6dapmzJih9evXtzpm7ty5evXVV5Wbm6uwsDDNmjVL48eP19///nefftOmTVNhYaH27t3b6lxbtmzRNddc492PjIz0/nNDQ4Nuu+02RUdH64UXXtBll12mjz76SOHh4d4+u3bt0qlTp7z7+/bt02233aZ7773X5zzTp0/XokWLvPshISGtLwoAALjoWAlbJSUl2rx5s3bt2qVhw4ZJkp588kmNHTtWjz/+uOLj4/3GeDwe5eTkaP369br11lslSWvWrFFCQoJ27typ66+/XpL0xBNPSJI++eSTNsNWZGSkYmNjWzy2evVqVVdX65133lFwcLCk03eyPi8qKspnf+nSpbryyis1atQon/aQkJBWzwMAAGDla8SCggKFh4d7g5YkpaamKjAwUIWFhS2OKSoqUmNjo1JTU71tAwYMUN++fVVQUNDhGtLS0hQdHa2RI0dq06ZNPsc2bdqklJQUZWVlKSYmRtdee60WL17scyfr8xoaGvTHP/5R06ZNU0BAgM+xP/3pT+rVq5euvfZazZ8/X5999lmbddXX16u2ttZnAwAAFy4rd7bcbreio6N9T9StmyIiIuR2u1sd43A4fL7Kk6SYmJhWx7QkNDRUK1as0IgRIxQYGKgXX3xR48aN08aNG5WWliZJ+vDDD7Vt2zZlZGTotdde04EDBzRz5kw1NjZqwYIFfnNu3LhRNTU1mjJlik/7d77zHfXr10/x8fHau3evHnnkEZWWliovL6/V+pYsWaKFCxe2+3oAAMD5rUNha968eVq2bFmbfUpKSs6poHPVq1cvZWdne/eHDx+uiooKLV++3Bu2mpubFR0drT/84Q8KCgpSYmKiysvLtXz58hbDVk5Oju68806/rz9nzJjh/edBgwYpLi5Oo0eP1sGDB3XllVe2WN/8+fN96qutrVWfPn3O6ZoBAMBXV4fC1sMPP+x3d+c/9e/fX7GxsTp69KhPe1NTk6qrq1t9vik2NlYNDQ2qqanxubtVVVV1zs9EJScnKz8/37sfFxen4OBgBQUFedsSEhLkdrvV0NAgh8Phbf/oo4+0ZcuWNu9Wff48knTgwIFWw5bT6ZTT6TzbSwEAAOeZDoWtqKgovwfHW5KSkqKamhoVFRUpMTFRkrRt2zY1Nzd7A8l/SkxMVHBwsLZu3ar09HRJUmlpqQ4fPqyUlJSOlOmnuLhYcXFx3v0RI0Zo/fr1am5uVmDg6cfW/vWvfykuLs4naEmnH9KPjo7WXXfd1a7zSPI5FwAAuLhZeWYrISFBY8aM0fTp07Vy5Uo1NjZq1qxZmjhxoveruPLyco0ePVrPPvuskpKSFBYWpszMTGVnZysiIkIul0uzZ89WSkqK95eI0um7RnV1dXK73Tpx4oQ34AwcOFAOh0Pr1q2Tw+HQ0KFDJUl5eXlavXq1Vq1a5Z3jgQce0FNPPaUHH3xQs2fP1v79+7V48WLNmTPH5zqam5u1Zs0a3XffferWzXepDh48qPXr12vs2LGKjIzU3r17NXfuXN1000267rrrbCwrAAA4HxlLjh07ZiZNmmRCQ0ONy+UyU6dONcePH/ceLysrM5LM9u3bvW0nTpwwM2fOND179jQhISHmnnvuMZWVlT7zjho1ykjy28rKyowxxqxdu9YkJCSYkJAQ43K5TFJSksnNzfWr75133jHJycnG6XSa/v37m8cee8w0NTX59PnrX/9qJJnS0lK/8YcPHzY33XSTiYiIME6n03zta18zP/rRj4zH4+nQOnk8HiOpw+MAAEDX6cjnd4AxxnRZ0oNqa2sVFhYmj8cjl8vV1eUAAIB26MjnN38bEQAAwCLCFgAAgEWELQAAAIsIWwAAABYRtgAAACwibAEAAFhE2AIAALCIsAUAAGARYQsAAMAiwhYAAIBFhC0AAACLCFsAAAAWEbYAAAAsImwBAABYRNgCAACwiLAFAABgEWELAADAIsIWAACARYQtAAAAiwhbAAAAFhG2AAAALCJsAQAAWETYAgAAsIiwBQAAYBFhCwAAwCLCFgAAgEWELQAAAIsIWwAAABYRtgAAACwibAEAAFhE2AIAALCIsAUAAGARYQsAAMAiwhYAAIBFhC0AAACLCFsAAAAWEbYAAAAsshq2qqurlZGRIZfLpfDwcGVmZqqurq7NMSdPnlRWVpYiIyMVGhqq9PR0VVVV+fSZM2eOEhMT5XQ6NWTIEL85Dh06pICAAL9t586d3j4333xzi33uuusubx9jjH76058qLi5Ol1xyiVJTU7V///5zvkYAAHDxsBq2MjIy9N577yk/P1+vvPKK3nrrLc2YMaPNMXPnztXLL7+s3Nxc7dixQxUVFRo/frxfv2nTpmnChAltzrVlyxZVVlZ6t8TERO+xvLw8n2P79u1TUFCQ7r33Xm+fX/ziF3riiSe0cuVKFRYW6tJLL9Udd9yhkydPntM1AgCAi4ix5P333zeSzK5du7xtr7/+ugkICDDl5eUtjqmpqTHBwcEmNzfX21ZSUmIkmYKCAr/+CxYsMIMHD/ZrLysrM5LMnj172l3vr371K9OjRw9TV1dnjDGmubnZxMbGmuXLl/vU53Q6zXPPPXfW1/ifPB6PkWQ8Hk+7awUAAF2rI5/f1u5sFRQUKDw8XMOGDfO2paamKjAwUIWFhS2OKSoqUmNjo1JTU71tAwYMUN++fVVQUNDhGtLS0hQdHa2RI0dq06ZNbfbNycnRxIkTdemll0qSysrK5Ha7fWoJCwtTcnKyt5azucb6+nrV1tb6bAAA4MJlLWy53W5FR0f7tHXr1k0RERFyu92tjnE4HAoPD/dpj4mJaXVMS0JDQ7VixQrl5ubq1Vdf1ciRIzVu3LhWA9e7776rffv26fvf/75PLWfO3VotZ3ONS5YsUVhYmHfr06dPu68LAACcfzoctubNm9fig+Wf3z744AMbtbZbr169lJ2dreTkZA0fPlxLly7V5MmTtXz58hb75+TkaNCgQUpKSrJe2/z58+XxeLzbkSNHrJ8TAAB0nW4dHfDwww9rypQpbfbp37+/YmNjdfToUZ/2pqYmVVdXKzY2tsVxsbGxamhoUE1Njc/draqqqlbHtFdycrLy8/P92j/99FNt2LBBixYt8qvlzLnj4uJ8ajnzC8izuUan0ymn03kulwIAAM4jHQ5bUVFRioqK+sJ+KSkpqqmpUVFRkfdXgNu2bVNzc7OSk5NbHJOYmKjg4GBt3bpV6enpkqTS0lIdPnxYKSkpHS3VR3FxsU9oOiM3N1f19fWaPHmyT/sVV1yh2NhYbd261RuuamtrVVhYqAceeOCsrxEAAFxcOhy22ishIUFjxozR9OnTtXLlSjU2NmrWrFmaOHGi4uPjJUnl5eUaPXq0nn32WSUlJSksLEyZmZnKzs5WRESEXC6XZs+erZSUFF1//fXeuQ8cOKC6ujq53W6dOHFCxcXFkqSBAwfK4XBo3bp1cjgcGjp0qKTTr3lYvXq1Vq1a5VdnTk6Oxo0bp8jISJ/2gIAAPfTQQ/r5z3+ur3/967riiiv06KOPKj4+XuPGjWv3NQIAgIuczZ9FHjt2zEyaNMmEhoYal8tlpk6dao4fP+49fuYVDdu3b/e2nThxwsycOdP07NnThISEmHvuucdUVlb6zDtq1CgjyW8rKyszxhizdu1ak5CQYEJCQozL5TJJSUk+r5M444MPPjCSzBtvvNFi/c3NzebRRx81MTExxul0mtGjR5vS0tIOXeMX4dUPAACcfzry+R1gjDFdlvSg2tpahYWFyePxyOVydXU5AACgHTry+c3fRgQAALCIsAUAAGARYQsAAMAiwhYAAIBFhC0AAACLCFsAAAAWEbYAAAAsImwBAABYRNgCAACwiLAFAABgEWELAADAIsIWAACARYQtAAAAiwhbAAAAFhG2AAAALCJsAQAAWETYAgAAsIiwBQAAYBFhCwAAwCLCFgAAgEWELQAAAIsIWwAAABYRtgAAACwibAEAAFhE2AIAALCIsAUAAGARYQsAAMAiwhYAAIBFhC0AAACLCFsAAAAWEbYAAAAsImwBAABYRNgCAACwiLAFAABgEWELAADAIsIWAACARYQtAAAAi6yGrerqamVkZMjlcik8PFyZmZmqq6trc8zJkyeVlZWlyMhIhYaGKj09XVVVVT595syZo8TERDmdTg0ZMsRvjkOHDikgIMBv27lzp7fPzTff3GKfu+66S5LU2NioRx55RIMGDdKll16q+Ph4fe9731NFRYXPuS6//HK/OZYuXXqWKwYAAC40VsNWRkaG3nvvPeXn5+uVV17RW2+9pRkzZrQ5Zu7cuXr55ZeVm5urHTt2qKKiQuPHj/frN23aNE2YMKHNubZs2aLKykrvlpiY6D2Wl5fnc2zfvn0KCgrSvffeK0n67LPPtHv3bj366KPavXu38vLyVFpaqrS0NL/zLFq0yGeu2bNnt2d5AADARaCbrYlLSkq0efNm7dq1S8OGDZMkPfnkkxo7dqwef/xxxcfH+43xeDzKycnR+vXrdeutt0qS1qxZo4SEBO3cuVPXX3+9JOmJJ56QJH3yySfau3dvqzVERkYqNja2xWMRERE++xs2bFBISIg3bIWFhSk/P9+nz1NPPaWkpCQdPnxYffv29bb36NGj1fMAAICLm7U7WwUFBQoPD/cGLUlKTU1VYGCgCgsLWxxTVFSkxsZGpaametsGDBigvn37qqCgoMM1pKWlKTo6WiNHjtSmTZva7JuTk6OJEyfq0ksvbbWPx+NRQECAwsPDfdqXLl2qyMhIDR06VMuXL1dTU1Orc9TX16u2ttZnAwAAFy5rd7bcbreio6N9T9atmyIiIuR2u1sd43A4/MJMTExMq2NaEhoaqhUrVmjEiBEKDAzUiy++qHHjxmnjxo0tfg347rvvat++fcrJyWl1zpMnT+qRRx7RpEmT5HK5vO1z5szRN77xDUVEROidd97R/PnzVVlZqV/+8pctzrNkyRItXLiw3dcCAADObx0OW/PmzdOyZcva7FNSUnLWBXWGXr16KTs727s/fPhwVVRUaPny5S2GrZycHA0aNEhJSUktztfY2Khvf/vbMsbo6aef9jn2+fNcd911cjgc+sEPfqAlS5bI6XT6zTV//nyfMbW1terTp0+HrxEAAJwfOhy2Hn74YU2ZMqXNPv3791dsbKyOHj3q097U1KTq6upWn2+KjY1VQ0ODampqfO5uVVVVnfMzUcnJyX7PYEnSp59+qg0bNmjRokUtjjsTtD766CNt27bN565Wa+dpamrSoUOHdPXVV/sddzqdLYYwAABwYepw2IqKilJUVNQX9ktJSVFNTY2Kioq8vwLctm2bmpublZyc3OKYxMREBQcHa+vWrUpPT5cklZaW6vDhw0pJSeloqT6Ki4sVFxfn156bm6v6+npNnjzZ79iZoLV//35t375dkZGR7TpPYGCg31eoAADg4mTtma2EhASNGTNG06dP18qVK9XY2KhZs2Zp4sSJ3l8ilpeXa/To0Xr22WeVlJSksLAwZWZmKjs7WxEREXK5XJo9e7ZSUlK8v0SUpAMHDqiurk5ut1snTpxQcXGxJGngwIFyOBxat26dHA6Hhg4dKun0ax5Wr16tVatW+dWZk5OjcePG+QWpxsZGfetb39Lu3bv1yiuv6NSpU97nxiIiIuRwOFRQUKDCwkLdcsst6tGjhwoKCjR37lxNnjxZPXv2tLGsAADgfGMsOnbsmJk0aZIJDQ01LpfLTJ061Rw/ftx7vKyszEgy27dv97adOHHCzJw50/Ts2dOEhISYe+65x1RWVvrMO2rUKCPJbysrKzPGGLN27VqTkJBgQkJCjMvlMklJSSY3N9evvg8++MBIMm+88YbfsTO1tbSdqbeoqMgkJyebsLAw0717d5OQkGAWL15sTp482e418ng8RpLxeDztHgMAALpWRz6/A4wxpgsyHv6/2tpahYWFyePxfOHzYAAA4KuhI5/f/G1EAAAAiwhbAAAAFhG2AAAALCJsAQAAWETYAgAAsIiwBQAAYBFhCwAAwCLCFgAAgEWELQAAAIsIWwAAABYRtgAAACwibAEAAFhE2AIAALCIsAUAAGARYQsAAMAiwhYAAIBFhC0AAACLCFsAAAAWEbYAAAAsImwBAABYRNgCAACwiLAFAABgEWELAADAIsIWAACARYQtAAAAiwhbAAAAFhG2AAAALCJsAQAAWETYAgAAsIiwBQAAYBFhCwAAwCLCFgAAgEWELQAAAIsIWwAAABYRtgAAACwibAEAAFhE2AIAALDIatiqrq5WRkaGXC6XwsPDlZmZqbq6ujbHnDx5UllZWYqMjFRoaKjS09NVVVXl02fOnDlKTEyU0+nUkCFD/OY4dOiQAgIC/LadO3d6+9x8880t9rnrrru8faZMmeJ3fMyYMed8jQAA4OJhNWxlZGTovffeU35+vl555RW99dZbmjFjRptj5s6dq5dfflm5ubnasWOHKioqNH78eL9+06ZN04QJE9qca8uWLaqsrPRuiYmJ3mN5eXk+x/bt26egoCDde++9PnOMGTPGp99zzz13ztcIAAAuIsaS999/30gyu3bt8ra9/vrrJiAgwJSXl7c4pqamxgQHB5vc3FxvW0lJiZFkCgoK/PovWLDADB482K+9rKzMSDJ79uxpd72/+tWvTI8ePUxdXZ237b777jN33313q2PO5hr/k8fjMZKMx+Npd60AAKBrdeTz29qdrYKCAoWHh2vYsGHettTUVAUGBqqwsLDFMUVFRWpsbFRqaqq3bcCAAerbt68KCgo6XENaWpqio6M1cuRIbdq0qc2+OTk5mjhxoi699FKf9jfffFPR0dG6+uqr9cADD+jYsWPndI0AAODi0s3WxG63W9HR0b4n69ZNERERcrvdrY5xOBwKDw/3aY+JiWl1TEtCQ0O1YsUKjRgxQoGBgXrxxRc1btw4bdy4UWlpaX793333Xe3bt085OTk+7WPGjNH48eN1xRVX6ODBg/rxj3+sO++8UwUFBQoKCjqra6yvr1d9fb13v7a2tt3XBQAAzj8dDlvz5s3TsmXL2uxTUlJy1gV1hl69eik7O9u7P3z4cFVUVGj58uUthq2cnBwNGjRISUlJPu0TJ070/vOgQYN03XXX6corr9Sbb76p0aNHn1VtS5Ys0cKFC89qLAAAOP90OGw9/PDDmjJlSpt9+vfvr9jYWB09etSnvampSdXV1YqNjW1xXGxsrBoaGlRTU+Nzd6uqqqrVMe2VnJys/Px8v/ZPP/1UGzZs0KJFi75wjv79+6tXr146cOCARo8efVbXOH/+fJ8gWFtbqz59+nTwagAAwPmiw2ErKipKUVFRX9gvJSVFNTU1Kioq8v4KcNu2bWpublZycnKLYxITExUcHKytW7cqPT1dklRaWqrDhw8rJSWlo6X6KC4uVlxcnF97bm6u6uvrNXny5C+c4+OPP9axY8e885zNNTqdTjmdznO4EgAAcD6x9sxWQkKCxowZo+nTp2vlypVqbGzUrFmzNHHiRMXHx0uSysvLNXr0aD377LNKSkpSWFiYMjMzlZ2drYiICLlcLs2ePVspKSm6/vrrvXMfOHBAdXV1crvdOnHihIqLiyVJAwcOlMPh0Lp16+RwODR06FBJp1/zsHr1aq1atcqvzpycHI0bN06RkZE+7XV1dVq4cKHS09MVGxurgwcP6r/+67/0ta99TXfccUe7rxEAAFzkbP4s8tixY2bSpEkmNDTUuFwuM3XqVHP8+HHv8TOvaNi+fbu37cSJE2bmzJmmZ8+eJiQkxNxzzz2msrLSZ95Ro0YZSX5bWVmZMcaYtWvXmoSEBBMSEmJcLpdJSkryeZ3EGR988IGRZN544w2/Y5999pm5/fbbTVRUlAkODjb9+vUz06dPN263u0PX+EV49QMAAOefjnx+BxhjTJclPai2tlZhYWHyeDxyuVxdXQ4AAGiHjnx+87cRAQAALCJsAQAAWETYAgAAsIiwBQAAYBFhCwAAwCLCFgAAgEWELQAAAIsIWwAAABYRtgAAACwibAEAAFhE2AIAALCIsAUAAGARYQsAAMAiwhYAAIBFhC0AAACLCFsAAAAWEbYAAAAsImwBAABYRNgCAACwiLAFAABgEWELAADAIsIWAACARYQtAAAAiwhbAAAAFhG2AAAALCJsAQAAWETYAgAAsIiwBQAAYBFhCwAAwCLCFgAAgEWELQAAAIsIWwAAABYRtgAAACwibAEAAFhE2AIAALCIsAUAAGARYQsAAMAiwhYAAIBFVsNWdXW1MjIy5HK5FB4erszMTNXV1bU55uTJk8rKylJkZKRCQ0OVnp6uqqoqnz5z5sxRYmKinE6nhgwZ4jfHoUOHFBAQ4Lft3LnT2+fmm29usc9dd93l7dPS8YCAAC1fvtzb5/LLL/c7vnTp0rNcMQAAcKHpZnPyjIwMVVZWKj8/X42NjZo6dapmzJih9evXtzpm7ty5evXVV5Wbm6uwsDDNmjVL48eP19///nefftOmTVNhYaH27t3b6lxbtmzRNddc492PjIz0/nNeXp4aGhq8+8eOHdPgwYN17733etsqKyt95nv99deVmZmp9PR0n/ZFixZp+vTp3v0ePXq0WhMAALi4WAtbJSUl2rx5s3bt2qVhw4ZJkp588kmNHTtWjz/+uOLj4/3GeDwe5eTkaP369br11lslSWvWrFFCQoJ27typ66+/XpL0xBNPSJI++eSTNsNWZGSkYmNjWzwWERHhs79hwwaFhIT4hK3/HPvSSy/plltuUf/+/X3ae/To0ep5AADAxc3a14gFBQUKDw/3Bi1JSk1NVWBgoAoLC1scU1RUpMbGRqWmpnrbBgwYoL59+6qgoKDDNaSlpSk6OlojR47Upk2b2uybk5OjiRMn6tJLL23xeFVVlV599VVlZmb6HVu6dKkiIyM1dOhQLV++XE1NTa2ep76+XrW1tT4bAAC4cFm7s+V2uxUdHe17sm7dFBERIbfb3eoYh8Oh8PBwn/aYmJhWx7QkNDRUK1as0IgRIxQYGKgXX3xR48aN08aNG5WWlubX/91339W+ffuUk5PT6pzr1q1Tjx49NH78eJ/2OXPm6Bvf+IYiIiL0zjvvaP78+aqsrNQvf/nLFudZsmSJFi5c2O5rAQAA57cOh6158+Zp2bJlbfYpKSk564I6Q69evZSdne3dHz58uCoqKrR8+fIWw1ZOTo4GDRqkpKSkVudcvXq1MjIy1L17d5/2z5/nuuuuk8Ph0A9+8AMtWbJETqfTb5758+f7jKmtrVWfPn06dH0AAOD80eGw9fDDD2vKlClt9unfv79iY2N19OhRn/ampiZVV1e3+nxTbGysGhoaVFNT43N3q6qq6pyfiUpOTlZ+fr5f+6effqoNGzZo0aJFrY7929/+ptLSUj3//PPtOk9TU5MOHTqkq6++2u+40+lsMYQBAIALU4fDVlRUlKKior6wX0pKimpqalRUVKTExERJ0rZt29Tc3Kzk5OQWxyQmJio4OFhbt271/uKvtLRUhw8fVkpKSkdL9VFcXKy4uDi/9tzcXNXX12vy5Mmtjs3JyVFiYqIGDx7crvMEBgb6fYUKAAAuTtae2UpISNCYMWM0ffp0rVy5Uo2NjZo1a5YmTpzo/SVieXm5Ro8erWeffVZJSUkKCwtTZmamsrOzFRERIZfLpdmzZyslJcX7S0RJOnDggOrq6uR2u3XixAkVFxdLkgYOHCiHw6F169bJ4XBo6NChkk6/5mH16tVatWqVX505OTkaN26cz2shPq+2tla5ublasWKF37GCggIVFhbqlltuUY8ePVRQUKC5c+dq8uTJ6tmz57kuIQAAuBAYi44dO2YmTZpkQkNDjcvlMlOnTjXHjx/3Hi8rKzOSzPbt271tJ06cMDNnzjQ9e/Y0ISEh5p577jGVlZU+844aNcpI8tvKysqMMcasXbvWJCQkmJCQEONyuUxSUpLJzc31q++DDz4wkswbb7zR6jX8/ve/N5dccompqanxO1ZUVGSSk5NNWFiY6d69u0lISDCLFy82J0+ebPcaeTweI8l4PJ52jwEAAF2rI5/fAcYY02VJD6qtrVVYWJg8Ho9cLldXlwMAANqhI5/f/G1EAAAAiwhbAAAAFhG2AAAALCJsAQAAWETYAgAAsIiwBQAAYBFhCwAAwCLCFgAAgEWELQAAAIsIWwAAABYRtgAAACwibAEAAFhE2AIAALCIsAUAAGARYQsAAMAiwhYAAIBFhC0AAACLCFsAAAAWEbYAAAAsImwBAABYRNgCAACwiLAFAABgEWELAADAom5dXQAAXJBOnZL+9jepslKKi5NuvFEKCurqqgB0AcIWAHS2vDzpwQeljz/+v7bevaXf/EYaP77r6gLQJfgaEQA6U16e9K1v+QYtSSovP92el9c1dQHoMoQtAOgsp06dvqNljP+xM20PPXS6H4CLBmELADrL3/7mf0fr84yRjhw53Q/ARYOwBQCdpbKyc/sBuCAQtgCgs8TFdW4/ABcEwhYAdJYbbzz9q8OAgJaPBwRIffqc7gfgokHYAoDOEhR0+vUOkn/gOrP/61/zvi3gIkPYAoDONH689MIL0mWX+bb37n26nfdsARcdXmoKAJ1t/Hjp7rt5gzwASYQtALAjKEi6+eaurgLAVwBfIwIAAFhE2AIAALDIWtiqrq5WRkaGXC6XwsPDlZmZqbq6ujbHnDx5UllZWYqMjFRoaKjS09NVVVXl02fOnDlKTEyU0+nUkCFD/OY4dOiQAgIC/LadO3f69Pv1r3+tq6++Wpdccon69OmjuXPn6uTJkz59fvvb3+ryyy9X9+7dlZycrHfffbfD9QIAgIubtbCVkZGh9957T/n5+XrllVf01ltvacaMGW2OmTt3rl5++WXl5uZqx44dqqio0PgWfrkzbdo0TZgwoc25tmzZosrKSu+WmJjoPbZ+/XrNmzdPCxYsUElJiXJycvT888/rxz/+sbfP888/r+zsbC1YsEC7d+/W4MGDdccdd+jo0aMdrhcAAFzEjAXvv/++kWR27drlbXv99ddNQECAKS8vb3FMTU2NCQ4ONrm5ud62kpISI8kUFBT49V+wYIEZPHiwX3tZWZmRZPbs2dNqfVlZWebWW2/1acvOzjYjRozw7iclJZmsrCzv/qlTp0x8fLxZsmTJWdXbGo/HYyQZj8fT7jEAAKBrdeTz28qdrYKCAoWHh2vYsGHettTUVAUGBqqwsLDFMUVFRWpsbFRqaqq3bcCAAerbt68KCgo6XENaWpqio6M1cuRIbdq0yefYDTfcoKKiIu/Xgh9++KFee+01jR07VpLU0NCgoqIin1oCAwOVmprqreVs662vr1dtba3PBgAALlxWXv3gdrsVHR3te6Ju3RQRESG3293qGIfDofDwcJ/2mJiYVse0JDQ0VCtWrNCIESMUGBioF198UePGjdPGjRuVlpYmSfrOd76jf//73xo5cqSMMWpqatL999/v/Rrx3//+t06dOqWYmBi/Wj744INzqnfJkiVauHBhu68HAACc3zp0Z2vevHktPnz++e1MGOkqvXr1UnZ2tpKTkzV8+HAtXbpUkydP1vLly7193nzzTS1evFi/+93vtHv3buXl5enVV1/Vz372M+v1zZ8/Xx6Px7sdOXLE+jkBAEDX6dCdrYcfflhTpkxps0///v0VGxvr8yC5JDU1Nam6ulqxsbEtjouNjVVDQ4Nqamp87hZVVVW1Oqa9kpOTlZ+f791/9NFH9d3vflff//73JUmDBg3Sp59+qhkzZui///u/1atXLwUFBfn9svDztZxtvU6nU06n85yuBwAAnD86FLaioqIUFRX1hf1SUlJUU1OjoqIi768At23bpubmZiUnJ7c4JjExUcHBwdq6davS09MlSaWlpTp8+LBSUlI6Uqaf4uJixcXFefc/++wzBQb63tQL+v9/RsMYI4fDocTERG3dulXjxo2TJDU3N2vr1q2aNWtWp9ZrjJEknt0CAOA8cuZz+8zneJtsPaU/ZswYM3ToUFNYWGjefvtt8/Wvf91MmjTJe/zjjz82V199tSksLPS23X///aZv375m27Zt5h//+IdJSUkxKSkpPvPu37/f7Nmzx/zgBz8wV111ldmzZ4/Zs2ePqa+vN8YYs3btWrN+/XpTUlJiSkpKzGOPPWYCAwPN6tWrvXMsWLDA9OjRwzz33HPmww8/NG+88Ya58sorzbe//W1vnw0bNhin02nWrl1r3n//fTNjxgwTHh5u3G53h+r9IkeOHDGS2NjY2NjY2M7D7ciRI1/4WW/tbyP+6U9/0qxZszR69GgFBgYqPT1dTzzxhPd4Y2OjSktL9dlnn3nbfvWrX3n71tfX64477tDvfvc7n3m///3va8eOHd79oUOHSpLKysp0+eWXS5J+9rOf6aOPPlK3bt00YMAAPf/88/rWt77lHfOTn/xEAQEB+slPfqLy8nJFRUXpm9/8ph577DFvnwkTJuiTTz7RT3/6U7ndbg0ZMkSbN2/2eWi+PfV+kfj4eB05ckQ9evRQQEBAh8ZeiGpra9WnTx8dOXJELperq8u5YLHOXw7W+cvBOn95WOv/Y4zR8ePHFR8f/4V9A4xpz/0v4MtRW1ursLAweTyei/5/yDaxzl8O1vnLwTp/eVjrs8PfRgQAALCIsAUAAGARYQtfKU6nUwsWLOD1GJaxzl8O1vnLwTp/eVjrs8MzWwAAABZxZwsAAMAiwhYAAIBFhC0AAACLCFsAAAAWEbZg1W9/+1tdfvnl6t69u5KTk/Xuu++2a9yGDRsUEBDg/duUZ9TV1WnWrFnq3bu3LrnkEg0cOFArV660UPn5p7PXuqqqSlOmTFF8fLxCQkI0ZswY7d+/30Ll55eOrPPatWsVEBDgs3Xv3t2njzFGP/3pTxUXF6dLLrlEqamprLM6f53z8vJ0++23KzIyUgEBASouLrZ8BeeHzlznxsZGPfLIIxo0aJAuvfRSxcfH63vf+54qKiq+jEv5SiNswZrnn39e2dnZWrBggXbv3q3Bgwfrjjvu0NGjR9scd+jQIf3whz/UjTfe6HcsOztbmzdv1h//+EeVlJTooYce0qxZs7Rp0yZbl3Fe6Oy1NsZo3Lhx+vDDD/XSSy9pz5496tevn1JTU/Xpp5/avJSvtLNZZ5fLpcrKSu/20Ucf+Rz/xS9+oSeeeEIrV65UYWGhLr30Ut1xxx06efKk7cv5yrKxzp9++qlGjhypZcuW2S7/vNHZ6/zZZ59p9+7devTRR7V7927l5eWptLRUaWlpX8blfLV16K8mAx2QlJRksrKyvPunTp0y8fHxZsmSJa2OaWpqMjfccINZtWqVue+++8zdd9/tc/yaa64xixYt8mn7xje+Yf77v/+7U2s/33T2WpeWlhpJZt++fT5zRkVFmWeeecbKNZwPOrrOa9asMWFhYa3O19zcbGJjY83y5cu9bTU1NcbpdJrnnnuu0+o+33T2On9eWVmZkWT27NnTCZWe32yu8xnvvvuukWQ++uijcyn1vMedLVjR0NCgoqIipaametsCAwOVmpqqgoKCVsctWrRI0dHRyszMbPH4DTfcoE2bNqm8vFzGGG3fvl3/+te/dPvtt3f6NZwvbKx1fX29JPl8RRAYGCin06m33367E6s/f5ztOtfV1alfv37q06eP7r77br333nveY2VlZXK73T5zhoWFKTk5uc05L2Q21hn+vqx19ng8CggIUHh4eGeVfl4ibMGKf//73zp16pRiYmJ82mNiYuR2u1sc8/bbbysnJ0fPPPNMq/M++eSTGjhwoHr37i2Hw6ExY8bot7/9rW666aZOrf98YmOtBwwYoL59+2r+/Pn63//9XzU0NGjZsmX6+OOPVVlZ2enXcD44m3W++uqrtXr1ar300kv64x//qObmZt1www36+OOPJck7riNzXuhsrDP8fRnrfPLkST3yyCOaNGnSRf9Hq7t1dQGAJB0/flzf/e539cwzz6hXr16t9nvyySe1c+dObdq0Sf369dNbb72lrKwsxcfH+/wbGlrXnrUODg5WXl6eMjMzFRERoaCgIKWmpurOO++U4Y9OtFtKSopSUlK8+zfccIMSEhL0+9//Xj/72c+6sLILC+v85ejIOjc2Nurb3/62jDF6+umnv+xSv3IIW7CiV69eCgoKUlVVlU97VVWVYmNj/fofPHhQhw4d0je/+U1vW3NzsySpW7duKi0tVXx8vH784x/rL3/5i+666y5J0nXXXafi4mI9/vjjF23YsrHWV155pRITE1VcXCyPx6OGhgZFRUUpOTlZw4YNs3tBX1EdXeeWBAcHa+jQoTpw4IAkecdVVVUpLi7OZ84hQ4Z0TuHnGRvrDH821/lM0Proo4+0bdu2i/6ulsT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" ] @@ -265,20 +296,12 @@ } ], "source": [ + "dx_dtheta_0 = calc_error_prop(true_L, true_theta, true_a,\n", + " percent_error * true_theta,\n", + " time = 0.5, wrt = 'theta_0')\n", "\n", + "print(dx_dtheta_0)\n", "\n", - "'''\n", - "# where noise_level is noise_std_percent \n", - "attribute = rs.normal(\n", - " loc=attribute, scale=attribute * noise_level, size=n_steps\n", - " )\n", - "# so in deepbench, noise is created by modifying the parameter value,\n", - "# using a random normal centered at the previous parameter value\n", - "# and a standard deviation which is scaled by this value multiplied by \n", - "# the noise_level, which is effectively a true value standard deviation\n", - "'''\n", - "\n", - "dx_dtheta_0 = calc_error_prop(true_L, true_theta, true_a, percent_error * true_theta, time = 0.5, wrt = 'theta_0')\n", "plt.clf()\n", "\n", "#plt.plot(time, pendulum_noisy, color = '#832161')\n", @@ -291,8 +314,12 @@ "for r in range(100):\n", " rs = np.random.RandomState()#2147483648)# \n", " attribute = rs.normal(loc=0, scale=1)\n", - " #print('random number', attribute)\n", - " plt.scatter(one_time, attribute * dx_dtheta_0 + pendulum_noiseless_one, color = 'red', s= 0.1)#, label = 'Expected error plus gaussian random noise')\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", + " plt.scatter(one_time, attribute * dx_dtheta_0 + pendulum_noiseless_one, color = 'orange', s= 0.1)#, label = 'Expected error plus gaussian random noise')\n", "# then also doing 100 draws from the pendulum\n", "for r in range(100):\n", " pendulum_noisy_one = pendulum.create_object(one_time, noiseless=False)\n", @@ -300,8 +327,6 @@ " plt.scatter(one_time+2, pendulum_noisy_one, color = '#832161', s = 0.1, label = 'Draws from DeepBench')\n", " else:\n", " plt.scatter(one_time+2, pendulum_noisy_one, color = '#832161', s = 0.1)#label = 'Noisy draws', \n", - "#plt.plot(time, pendulum_noiseless, color = '#EDCBB1')\n", - "\n", "plt.scatter(one_time+1, pendulum_noiseless_one, 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",