{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Optimisation: Spotting unidentifiable parameters with MCMC\n", "\n", "As well as minimising error functions, PINTS optimisers can be used to maximise likelihoods (or actually any [LogPDF](https://pints.readthedocs.io/en/latest/log_pdfs.html#pints.LogPDF)).\n", "\n", "This makes it easy to combine optimisation and sampling. For example, you may have found a best solution through optimisation, but suspect it is not unique. You could then run an MCMC (or other sampling) routine to explore the space around your best solution. This is particularly useful when the parameter space is large, so that MCMC on its own might be too computationally demanding." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, we need a model without a unique best parameter set. To get this, we'll adapt the logistic model from pints set of toy models and:\n", "\n", "- Fix the growth rate\n", "- Set the carrying capacity to $k = 41 + \\sqrt{k_1^2 + k_2^2}$\n", "- Set the parameters to be $k_1$ and $k_2$\n", "\n", "with these modifications we've lost one parameter and one degree of freedom (fixed growth rate), but the carrying capacity (a single number) is now described by two parameters.\n", "As as result, there are infinitely many combinations of $k_1$ and $k_2$ that will give the same result." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pints\n", "import pints.plot\n", "\n", "\n", "class BadLogisticModel(pints.ForwardModel):\n", " \"\"\"\n", " Logistic model of population growth with unidentifiable parameters.\n", " \"\"\"\n", "\n", " def __init__(self):\n", " super(BadLogisticModel, self).__init__()\n", " \n", " # Initial population size\n", " self._p0 = 2\n", " \n", " # Fixed growth rate\n", " self._r = 0.1\n", " \n", " def n_parameters(self):\n", " return 2\n", "\n", " def simulate(self, parameters, times):\n", " \n", " k1, k2 = parameters\n", " times = np.asarray(times)\n", "\n", " # Combine k1 and k2 into a single parameter, k\n", " k = 41 + np.sqrt(k1**2 + k2**2)\n", " \n", " return k / (1 + (k / self._p0 - 1) * np.exp(-self._r * times))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can still easily generate some data:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "model = BadLogisticModel()\n", "\n", "real_parameters = [3, 3]\n", "times = np.linspace(0, 100, 100)\n", "\n", "experiment = model.simulate(real_parameters, times)\n", "\n", "sigma_noise = 2\n", "noisy_experiment = experiment + np.random.normal(0, sigma_noise, size=experiment.shape)\n", "\n", "plt.figure(figsize=(15, 4))\n", "plt.xlabel('Time')\n", "plt.ylabel('Population')\n", "plt.plot(times, noisy_experiment, 'x')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And we can define a log likelihood, and use optimisation to try and find back these parameters" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Found solution with loglikelihood -207.23345485485072\n", "[3.80203753 1.40677854]\n" ] } ], "source": [ "problem = pints.SingleOutputProblem(model, times, noisy_experiment)\n", "\n", "log_likelihood = pints.GaussianKnownSigmaLogLikelihood(problem, sigma_noise)\n", "\n", "opt = pints.OptimisationController(log_likelihood, [6, 2], method=pints.XNES)\n", "opt.set_log_to_screen(False)\n", "x1, f1 = opt.run()\n", "\n", "print('Found solution with loglikelihood ' + str(f1))\n", "print(x1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can inspect the simulated output:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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cwYMhJR269mbNYdhQavj69NH+xx0i4drKEIi4IrVqaayJ9Oq4kUxVNDtB165d2bBhQ6jDEBERCRq/ijlUlkN5CZR/AidK4MQBOLkfTuw/+7qyhYmX45Oge1/nkTYUsqdCtz7QPdN57pYJ3fuw6nAc33h2B7PGDG6oApjpjmtyC+Fc2BcubOfnDzehrEzaFn/HqkXL2KdYEMprMBDFZWJBdCR4XlraREREpGUd/h/x+no4dRiO7YXjxXB8rzuZK4ETnzjPVSea7mPinKStR39Iz4Wci6Fnf+gxAHr0cx7d+zpdJn0YnzYlHWZNrY74inftFY6V/vy58fa30qt0vnC8BuWs6EjwwlSPHj04ceKE9w1FRCTihXJcij/anC+uqgKO7Yaju+HoLieJO17sJHXl+5z50hpLSYfULKfVbcinnNc9B0LqIOg5wEne4gN36xGrrT7R9rmjtVJlNHcnjLZrMNoowQui66+/nptvvpmXXnrJ7yIrIiIS3vydWDtUx84f1JW/XJ3Ek0sfxWad4UjJNlZknKTnCyXO+LfGuqZBr2zoOxpGXg29BjuP3oOdJC4pxe94fBWtrT7tLTIRDZ87WrvdBfPvNpSi8RqMNtFRZCUGxNrnFRGJRMGqBOj3sa11WtxKt8ORHVC2A47sdB4nPmmy6cmkPvToPwLShrgfQ51H7yFOFckA8qeFI1pbR7wVsIjUluJYFczvhFCJhmqUkSq2qmjGgFj7vCIikaq1SoD+lCX3duwG9fXuRG4blG5xng9vgbLtUN1oWp8uqZAxDNKHQ8YwttX247/fq+LiCy/kr4WHfb4J9fdGLlwrQoZaqJIC/T6Co6PVQSM1UdJ1FDyqoikiIjEn1DdEbY1L8dZdy1tXrubHvmhQElNSDsKhTe7HZjj0MdScOhtQ976QORIm3OY8Z46EjBFOFUp3EZOGc93mnDtvhO83Y/52QWurGl+of5ehFKoCFuFaoTOS+TNWLVK7eOo6Cr2ITvCstRgfqmxFukhoZRURCQfBvCHyd2yUt5ueVt+zlsKNG3nuxX/y0vmnGXRkF3clf0Ty02e7VlYm9KQqfRSpE2dBn1GQeR6rT2WyrtR4TYb8KXARiBu51pKZSL25DYRQFrBQdcTA8XesWiQnSrqOQiv+vvvuC3UMXi1evPi+2bNnN1lXUVFBXV0dXbt2jeokz1rLkSNHqK+vp3fv3qEOR0QkrA1KS2GsOzE4VVXLg69uC9gNUXVdPXOXrWdsViqD0lIabt6+clEOg9JS+NfGA3zlopyGc3liKSopJy8nrWHdqapaHnlrJ1+/ZAi3XJjdJPZTlTW8sKKAH513mCtr3ob3fwOv/ZABRb/lKvs+qaWFgCFh0CT2DryOgj5fZPjMX7F66F18YXUuYy+/mUFjLqLgSFfuemZLQ2xtyctJO2ebQWkpDTF709Zn8kWBq4wHX93G1y8ZwtJVxQ0/32D+LoNt0UoX1XX1TX6uBa4y/rXxgNefa+Ok4JYLsxt+Bp6fS7C19vuQ9vPlO8Ebf/++QkXXUXDcf//9B+67777F3raL2DF4NTU1lJSUUFlZ2cpe0SM5OZmsrCwSExNDHYqISETo6JgXb/wdG9V8/0U3DWZy4h74ZC3HdhRg9q+jF85Yufq4ROL6jIL+492PCdD3/FYrVYZ63FZHzuvLWJ1g/S6DyZ8xSKHsmqqxU53Ll991JBZp0XUUPGFTZMUYEw8UAp9Ya68zxgwBngLSgHXA7dba6raO0VKCJyIi0pJg3xB1NOH4YMcBFj75Ij+bdIqhVVs5s2cVXU8WA2BNHDttFj2HTaXvefl8VJ/D7FfP8PBtk9sVe2cnQ/7eyPna7TWSbm49IjH2WB73GAre/n4iNVHSdRQ84ZTgzQfygJ7uBO8Z4O/W2qeMMYuAj6y1v2/rGErwRETEF8G+IWrXTXtlOexbA/s+hOIPqSleQ2K9u9dJz4EwcBJ7uo7io/rhlPYYxeic/n7dEIUioQjmjVyk3tw2Fomtj9K52vq7VaIkzYVFgmeMyQKWAD8H5gPXA6VAP2ttrTFmGnCftfaqto6jBE9ERHwR0oSjohT2vgd73oPiD52qllgwcdBvLGRPg0FTnEfqQD8/aTtji0CRfnMbiS14Ehr6jwDxVbgkeM8BDwA9gHuALwMfWmuHud8fBLxirR3Twr6zgdkA2dnZF+zduzdocYqISGQI5U3/OeeuKGXb6leocb3DmOqNULrVWZ/YDQZNhuypzmNgHnTp3rmxEVnJULSJxoRbgkP/ESDtEfIEzxhzHfAZa+1dxpjLcBK8rwAfNEvwXrbWjm3rWGrBExERCPGNc+UJp3Vu19uw+52mCd3gaZBzMeRc4hREiVdRrFimhFt8of8IkPYKhwTvAeB2oBZIBnoCLwBXoS6aIiLSQZ32P951tbB/HbjeAtfb8Ekh1NdCQlcYnA9DLlFCJyIdpv8IkPYKeYLXLJjLgHvcRVaeBZ5vVGSlyFr7u7b2V4InIiKNBWPMyqKVLvJ6nyavuhB2/ht2vwtV5VgMZsAEGHo55F7ujKFL6BKQc4qIiPjK1wQvoTOCaeb7wFPGmP8B1gN/DkEMIiISoQpcZSxdVcy86cNYuqqYqbnpHW/Bq6uFkjWw4zVu3/wK3Y65u12mDuLgoKtZsGsgN988k8mjhwfuA4iIiARRpyR41toVwAr3613A5M44r4iIRJfmY1Sm5qa3f8zKmWOw/XXY8RrsfBMqj0NcAt2yp7FnyA3cs6Ef+aPzWbp6Hwtvm8hkjYUREZEIEooWPBERkQ4pKilvkszl52awcOZEikrK207wyktg68uwdblTKMXWQbc+cN61MHyG0/UyOZUcID/5bPdPFToQEZFIowRPREQiRkuFB/JzM85NxKyFw1tg67+cpO7ABmd9xki46Ntw3nUwYCLExTXZLaDdP0VEREJACZ6IiEQHa+HQJtj8Amx+EY66nPVZF8KV9zutdRmtj6ULSPdPERGREFOCJyIikctaOLTZSeo+fhGO7AQT50xfMO2bTlLXo1/D5m2VJQc61v1TREQkjCjBExGRyFO6DTY+5yR2R3Y0S+quh+6ZLe42Liu1XRMLt9j9U0REJIwpwRMRkchw8iBseh6KnoYDH7mTuoth6jdg1GdbTeoa87TKdcpE6SIiIiGgBE9ERAKqrW6QLRVJaVPVSdiy3Enqdq8EW+8UR7nqARjzOejRt93x5edmMGtKtipliohIVFKCJyIiAdVWN0if1NfBrhWwYZlTBbP2DPQaDJd8B8beApkj/IpPlTJFRCSaKcETEZGA6nA3yKO7nKRuw5NwogSSe8GEmTDuCzBoMhjjd2yqlCkiItFOCZ6IiARcW90gm3ThrD4FH/+D8g/+QuqhVYCB3Okw42cw8jOQmBzQuDo8UbqIiEiEUIInIiLt5m2cXVvdIMdlpbLwiecZmruOfnv/BdUnOUE/jk+Yz+DL74TUrKDF7fNE6SIiIhFKCZ6IiLRbW+PsWusG+bvPj2Tq6ZXkFz5Gfv06zuxIYnPmlTx8ZCpfnTmT/GHeq2CKiIhI25TgiYhIu7U1zm7RSlfTbpDdD/OvYS+R9uwLUFcBGSPh6l/w2NEL+OU7h50unEruREREAiIu1AGIiEhwLFrposBV1mRdgauMRStdATl+43F2s6ZkNyR0cy7NJT8n1ZmI/LGr4ffT6L/zabqMvga+8gp8cxUFmTfz57XHG7pwNo4z2HGLiIhEMyV4IiJRytON0pMsebpOjstKDcjxm4+zK3CVQcVhWPl/8PAYeP5OZ3LyT/8M5m+Fz/0JBudTsOtIQxfO+TNGNrQEeuIMdtwiIiLRzFhrQx2DV3l5ebawsDDUYYiIRBxPctSu6QracVzP8T5a/RbFr/yaa80HxNVXQ+4VMGUODLsS4pr+X6IvE6EHK24REZFIZYxZa63N87qdEjwRkei24PVtDdMVzJ8xEvAtyWrLopUuxg9IYVrl+7DqD1CymrqEbmzpey1jbvyu35ORtxa3iIhIrPI1wVMXTRGRKNZiN0r87AZZdZI5Sa8ybfmnnW6Yp0rh6geJv2cLY77+x4Akd63FLSIiIm1TFU0RkSjV2nQFnuXWqmBCyy18hUUbSVizmAmHX4SqEzD4Irjm/2DE1ed0wwxm3CIiItI6teCJiESpopLyptMVuJO6opLyhuWWqmBCsxa+A0UcXnIH4/9+KeNLljrj6r7+FnzlZTjvMwFN7nyJW0RERFqnMXgiIjGqzUIm1rKp4F+cfOMXTKOI0yRz/LxbGXDV3dB7cGgDFxERiUG+jsFTF00RkQjlT6GUVrtB3jqe/Lq18O6vGFOyhlOJafzi9BfpftHX+OZnLgz2RxIRERE/qYumiEiE8qdQyjndIHN68dS0fYx84Rp48otQcQjXlJ9xRd1CEi+dz5/XHlehExERkQigLpoiIhHM7/niaqtgwxPw/m/g2B7IHAUX301ByqXMfWpjw/Gat/iJiIhI51IXTRGRGNC4UMq86cN8T75qKmHd3+C9h+Hkfhh4AVz1vzDiGoiLo2ilq9VCJ0rwREREwpcSPBGRCNZ8vripueltJ2A1Z2DtEnj/13DyAGTnw42/g6GXgTENm7U0hi8/N0PJnYiISJhTgiciEqHaNV9czRlY+1d479dQcdCZw+6mxZBzSZPETkRERCKbEjwRkQjV1nxxDQlezRko/IvTYldxyEnoPvcnGHJJCCMXERGRYFGRFRGRaFRbDev/Bu885HTFzLkELrsXci4OdWQiIiLSASqyIiISi+pqYeMzsOIBOF4Mg6bATX9Ui52IiEiMUIInIhIN6uvh4xedxK5sO/QfD9cugGFXaoydiIhIDFGCJyISyayFHa/Dmz+DQxsh8zy45XEYdb0SOxERkRgUtATPGJMMvAN0cZ/nOWvtT4wxQ4CngDRgHXC7tbY6WHGIiESt4lXw759A8QfQewj8x2IYezPExYc6MhEREQmRYLbgVQHTrbUVxphE4D1jzCvAfOBha+1TxphFwJ3A74MYh4hIRFq00sW4rNQmUx4UuMoo3raeL574K2xdDt36wLW/gkl3QHxi6IIVERGRsBAXrANbR4V7MdH9sMB04Dn3+iXAjcGKQUQkko3LSmXusvUUuMoAKCzayKGls/nCmltg10q4/Ecwbz1c+DUldyIiIgIEeQyeMSYeWAsMA34LuIDj1tpa9yYlwMBgxiAiEqk889r94Il3eajfm4zd/zST4sBMngOX3APd0kMdooiIiISZoCZ41to6YIIxphfwAjCqpc1a2tcYMxuYDZCdnR20GEVEwlZtNfmlz/Jq3P/S5ZOTbO1zNaNn/gJ6Dw51ZCIiIhKmgtZFszFr7XFgBTAV6GWM8SSWWcD+VvZZbK3Ns9bmZWZmdkaYIiItWrTS1dBN0qPAVcaila7gnNBa+Pgl+O1kePVePqrNYemEx5l19E4KjnYLzjlFREQkKviU4BljLjLGvGGM2W6M2WWM2W2M2eVln0x3yx3GmK7AlcAW4G3gZvdmdwAvdTx8EZHgaz4WrsBVxtxl6xmXlRr4k5UUwmNXwzNf4nR9AnPj/ov6WX/nS/9xPQtnTmwSh4iIiEhzxtoWe0g23ciYrcDdOOPp6jzrrbVH2thnHE4RlXicRPIZa+1PjTFDOTtNwnpglrW2qq3z5+Xl2cLCQu+fRkQkSDxJ3awp2SxdVczCmRObVLf027E98O/7YfPfoXtfuPy/+MOJqYzNTj+nimZRSTlzLs0N3LlFREQk7Blj1lpr87xu52OCt8paOyUgkXWAEjwRCQcLXt/GI2/tZN70YcyfMRJofSoDn5OwyhPw7kPw4e8hLgHy50H+t6BL92B9DBEREYlAviZ4vo7Be9sY80tjzDRjzCTPw88YRUQiRoGrjKWripk3fRhLVxU3dJPscPfN+jpY+1d4dBK8/xsYczN8ay1c/gMldyIiItJhvlbR9LTeNc4YPXPaiYhENU/S5umWOTU3vcmyZ2ycz903d78Dr/4ADm2C7Glw27MwYGLnfSARERGJWj4leNbay4MdiIhIuCoqKW+StHmSuqKScvJzM8jPzWDWlOyG7putJndHd8Hr/w1bl0NqNnz+rzD6RjCm8z6MiIiIRDWfEjxjTCrwE+B7UabZAAAgAElEQVRT7lUrgZ9aa8uDFZiISLhoaSydJ7GDc7tvTs1tWhiFyhPwzi+dcXbxSTD9v2HaNyGxq/9j+EREREQa8XUM3mPASeAW9+ME8JdgBSUiEikad9+cP2Nk06kM6uthwzJ49AIoeATG3QLz1sGn7oHErkAnT8EgIiIiUc/XKpobrLUTvK0LFlXRFJFw1VoL3IGPC/jcwd/AJ4UwMA+u+T/IuqDFYwR9CgYRERGJeL5W0fS1yMoZY8zF1tr33Ae/CDjjT4AiIoESym6O5xy/4jD5G++HDUud+exuXATjvgBxrXeY8HkMn4iIiIgXvnbR/AbwW2PMHmPMXmAhMCd4YYmI+C4sujnWVkPBo053zKKnnfns5hbChFvbTO6g9SkYRERERNrL1yqaG4Dxxpie7uUTQY1KRKQdOjRVQSC53oZXvgdl22H4DLjqAcgY5tOu3qZgEBEREWmPNhM8Y8wsa+1SY8z8ZusBsNYuCGJsIiI+C0k3x+P74LUfwpZ/QO8hcOvTMPLqdh3C2xQMIiIiIu3hrQWvm/u5Rwvvea/OIiLSSbxOVRBINZXwwaPwzq+c5ek/gmnfgsTkdh/K2xQMIiIiIu3RZoJnrf2D++W/rbXvN37PXWhFRCTkOrWb4/bX4JXvw7HdMOqzcNX/Qq9BgT2HiIiISAf5WmTlUR/XiYh0ura6OQbM0d2w7Auw7BaIS4DbX4AvPO41uVu00nVO0ZQCVxmLVroCF5uIiIiIm7cxeNOAfCCz2Ti8nkB8MAMTEfFVULs51lTC+7+B9xaAiYdP/xSmfAMSknza3VPh05OANm5tFBEREQk0b2PwkoDu7u0aj8M7AdwcrKBERMLC9tfhle/CsT1w/k1w1c+h54B2HSLkFT5FREQkpngbg7cSWGmM+au1dm8nxSQiElrH9jrVMbcuh/ThcPuLkHt5hw+nicxFRESks/g0Dx5w2hjzS+B8oKFMnLV2elCiEhEJhdoqKHjEqY5pDFx5H0z9ps/dMVvTqRU+RUREJKb5muA9ATwNXAfMAe4ASoMVlIhIp3O9BS9/F47sDGh1TE1kLiIiIp3J1yqa6dbaPwM11tqV1tqvAlODGJeIxJiQVZs8sR+e/TI8/h9g6+G2532qjumrTqnwKSIiIuLmawtejfv5gDHmWmA/kBWckEQkFgWz2uSilS7GZaU2aTEr2HEQVv2B/OLFUFcDl/0QLvp2hyYrb4smMhcREZHO5GuC9z/GmFTgOzjz3/UE7g5aVCISc4JZbbJ58rjxg1fJeO17jGAvDJ8B1/wC0oYG4FOIiIiIhJZPCZ61drn7ZTnQ8VJyIiJtCFa1SU/y+KMnVvBIxouMPfxPqlL6w/VL4bzrnIIqIiIiIlHA20TnjwK2tfettfMCHpGIxKygVZusryf/2D95Oe7HxB86xeqsO5h8xwOQ1M3/Y4uIiIiEEW8teIWdEoWIxLygVZvcvwH+NR8+WctGzmfzxP/mkY0JLNx3hvxcJXgiIiISXbxNdL6kswIRkdjWVrXJDiV4leXw1s9hzR+p7tKb+808rr1tHl8elsmIsU2TyRaLsLjKKCopb7FIioiIiEi4Mta22gPz7EbGvE0LXTU7a6LzvLw8W1ioxkQR8YG1sPE5eO2HcKoULvwaj3WZxXlDslpN4Jq3HjZfFhEREQk1Y8xaa22e1+18TPAuaLSYDHwOqLXWfq/jIfpOCZ6I+KR0O7z8Hdj9DgyYBNctgAG+TbPgSeoCXcFTREREJBB8TfB8raK5ttmq940xKzsUmYhIoFWfhnd+CQWPQlIKXLsALvgyxMX7fIhgVfAUERER6Uw+JXjGmLRGi3HABUC/oEQkItIeW1+GV74P5cUwfiZ8+qfQPbPdhwlaBU8RERGRTuTrROdrccbgGaAW2A3cGaygRES8OrbHSey2vwqZo+DLL0PORR06VNAqeIqIiIh0Ml+7aA4JdiAiIj6prYKCR+Cdh8DEw4z/gSlzID6xw4cMeAVPERERkRDxtchKMnAXcDFOS957wO+ttZXBDc+hIisiAoDrbXj5HjiyE0bfAFc9AKkDQx2ViIiISND5WmQlzsfj/Q04H3gUWAiMAh73EsAgY8zbxpgtxpjNxphvu9enGWPeMMbscD/39jEGEYlV5Z/AM3fA4zeCrYdZz8Mtf1NyJyIiItKMr2PwRlprxzdaftsY85GXfWqB71hr1xljegBrjTFvAF8G3rTWPmiMuRe4F/h+ewMXkRhQVwMf/g5W/AJsHVz+I8j/FiQmhzoyERERkbDkawveemPMVM+CMWYK8H5bO1hrD1hr17lfnwS2AAOBG4Al7s2WADe2N2gRiQG734VFF8MbP4Yhn+KJvGcpyPpKk+SuwFXGopWuEAYpIiIiEl58TfCmAAXGmD3GmD3AB8ClxpiNxpgibzsbY3KAicAqoK+19gA4SSDQpwNxi0i0OnkInv86LLkOak7DrU/BzKcYMnw0c5etp8BVBpytfDkuKzXEAYuIiIiED1+7aF7d0RMYY7oDzwP/z1p7whjj636zgdkA2dnZHT29iESKuhpYvRjefgDqquBT34OL73YmLudsZcu5y9Yza0o2S1cVaxoDERERkWZ8nSZhrzFmPHCJe9W71lpvY/AwxiTiJHdPWGv/7l59yBjT31p7wBjTHzjcyjkXA4vBqaLpS5wiEqF2vwsvfxdKt8CwT8M1v4D03HM2y8/NYNaUbB55ayfzpg9TciciIiLSjE9dNN0VMJ/A6U7ZB1hqjPmWl30M8Gdgi7V2QaO3/gHc4X59B/BSe4MWkShxYj8891V3d8xT8MVlcNuzLSZ34HTLXLqqmHnTh7F0VXFDd00RERERcfjaRfNOYIq19hSAMeYXOOPwHm1jn4uA24GNxpgN7nU/BB4EnjHG3AkUA5/vSOAiEn4WrXQxLiu1SctagauMopJy5lzaKGmrrYZVv4eV/+d0zbz0+053zMSurR7bM+bO0y1zam56k2URERER8b3IigHqGi3Xude1ylr7nrXWWGvHWWsnuB8vW2uPWGuvsNYOdz8f7WjwItK5Fq10ndNq1riS5bisVO+FUFxvwaKLnOqYORfDNz+Ey3/YZnIHUFRS3iSZ84zJKyopD+AnFBEREYlsvrbg/QVYZYx5wb18I073SxGJIZ4EzpNoNW5VAy+FUI7tgdf+C7Yuh945cOvTMNL3+k1NWgDd8nMz1HonIiIi0oivRVYWGGNWABfjtNx9xVq7PpiBiUj48aWS5TmFUAalwFs/h/d/A3HxcMWPYeo3NVm5iIiISBC0meAZY5KBOcAwYCPwO2ttbWcEJiLhyVsly4ZCKJfncvDDp6ja8CRdTh+AMTfDp38KqQNDFLmIiIhI9PPWgrcEqAHeBa4BRgH/L9hBiUj4al7JcmpuekOS5+my+dg1KUzYdA/Uv8u20zlUz3iKsfnXhDhyERERkejnLcEbba0dC2CM+TOwOvghiUi48lbJcvuuPbyc+wL9/vUkJKfCtQs40us6ivZXMDbUwYuIiIjEAG8JXo3nhbW21pnaTkRiVWuVLDcVl5Ff+ixfXvsAVFXAhV+Dy34AKWnkA/nD+4Y2cBEREZEY4S3BG2+MOeF+bYCu7mUDWGttz6BGJyJhpcVKlvXryd/8QyjbDrnT4ar/hT6jQhCdiIiIiLSZ4Flr4zsrEBGJMKXb4bUfws43IC3XmfZgxFWgln4RERGRkPF1HjwREcfpo7DyF7DmT5CYAjN+DpNnQ0JSqCMTERERiXlK8ETEN7VVsHoxvPNLqDoJk74El/8IumeGOjIRERERcVOCJyJtsxY+fgn+/RM4tgeGXQmf/hn0Hd2uwyxa6WJcVmqTefMKXGUUlZS3OLZPRERERNovLtQBiEgYKymEx66GZ+9wumPOet55tDO5AxiXlcrcZespcJUBZ6dcGJeVGuioRURERGKWWvBE5FzH9sKbP4VNz0G3PnD9b2DCLIjv+FeGZ0qFucvWM2tKNktXFTeZckFERERE/KcET0Qa/PWNQmYcWcqAHU+AiYNPfZcPB8xiw6E65viR3Hnk52Ywa0o2j7y1k3nThym5ExEREQkwddEUEag+De/+ilmrb6Dv1iUcGnIjfGsdBYPncNezOwLWjbLAVcbSVcXMmz6MpauKG7prioiIiEhgqAVPJJbV1cKGJ2DFA3DyAAkjrmH9yHnc+fIpZq2qYOmqjwPWjdIz5s5zvKm56U2WRURERMR/SvBEYpG1sO0V+Pd9ULYNsi6Emx+DwflMBGYd2RbwbpRFJeVNkjnPmLyiknIleCIiIiIBogRPJMb848WnuLxkET3K1kP6MLjlcQqSplG05wRzBp/bjXJqbnpAErCWpkLIz81QciciIiISQBqDJxIrSgphyWf57Ib/5FRZMTun/hzu+pCCLvnMfXID47JSm3SjnD9jZEPVS42VExEREYkMSvBEIsyila5zEq4CVxmLVrpa3uHQZnhyJvzpCuf11Q+ye+a73LJmJAve3NVkHFxb3ShFREREJPypi6ZIGFq00sW4rNQm3RcLXGUUlZQ3TBjuScQat7o1ccQFKx6Ejc9Cl54w/Ucw5RvQpTvTgFlTKs4ZZ6dulCIiIiKRTS14ImHIk8R5Wuo8SZwn6fN0nVzw+rZzK1Ee3QUv3gULL4Sty+Hiu+HbG+BT34Uu3RuOp+kKRERERKKPWvBEwlDjJG7WlGyWrio+p+vkOROGH90F7/yK+o+exMYlED9lDlz0bejR193652LOpbmarkBEREQkiqkFTyRMNU7iZk3JPqe7pqcF7u0P13Do8a/Bo3mw6TkOjvwSV9uFFAyf35DceVr/oO3pCkREREQkshlrbahj8CovL88WFhaGOgyRTuVJzJq34HnW//H6dC7Y+xj1G56kxhqOnHcbA679AfTo1+q+IiIiIhKZjDFrrbV53rZTF02RMNRWN8p929bxWvZSMl/6J8QlEjf56xRl3c7ao8nM6dEPaKULp4iIiIhEPSV4ImGopW6Uf7kqgR6vfI38srchsRtM+yZMmws9+nEhcGGj/YM1WbmIiIiIhDcleCJhqMl0BXsL4J2HGO96E5JT4dLvw5Q5kJLW4r4qoiIiIiISu5TgiYSj+nrY8Tq8/2so/gC6ZcKV90HenZDcs81d2yqiogRPREREJLqpyIpICLQ2kfmm4lJmpxZCwaNQtg16ZsFF82Di7ZCUEsKIRURERCSUVGRFJIx5JjL3tLSt2rKLwmceYk7yG3DmMPQdCzf9Ec7/D4hPDHW4IiIiIhIhlOCJtKK1VraikvKmY+Q6wNNt8n+eeJ2f9X2HMQdeYAqV0P9yuOgPMPRyMMbfjyAiIiIiMSZoE50bYx4zxhw2xmxqtC7NGPOGMWaH+7l3sM4v4i9PK1uBqwzgnAnDO8xaKP6Q/LXfYXn9XMbvf5rijMvgP9+FL70IudOV3ImIiIhIhwQtwQP+ClzdbN29wJvW2uHAm+5lkbDkaWWbu2w9C17f5n8lytoq+OgpWHwZPHYVtTvf4nFzHX+54AVuO/Y1Ck4PCGj8IiIiIhJ7gtZF01r7jjEmp9nqG4DL3K+XACuA7wcrBhF/BWTC8IrDUPgYrPkznDoMGSNwTf4ptxcO5aFZ08jPzeD888s0lYGIiIiI+K2zx+D1tdYeALDWHjDG9Onk84u0S4cnDLcW9q2Gwj/D5hegrhqGz4Ap/wlDp/PGu7t56LZUTWUgIiIiIgEVtkVWjDGzgdkA2dnZIY5GopG3IiodmjC86iQUPeO02B3aBEk94IIvw+TZkDG8YbOWirTk52YouRMRERERvwRzDF5LDhlj+gO4nw+3tqG1drG1Ns9am5eZmdlpAUrs8FZEpa0Jw89xaDMsnw+/Og/+Nd8pknLdr+E7W+Ezv2yS3ImIiIiIBEtQJzp3j8Fbbq0d417+JXDEWvugMeZeIM1a+z1vx9FE5xIsnqRu1pRslq4qbt8YuOpT8PFLsHYJ7PsQ4rvAmJsg707IylMlTBEREREJmJBPdG6MeRKnoEqGMaYE+AnwIPCMMeZOoBj4fLDOL+KLdhdRsRY+WQvr/gab/g7VJyEtF2b8D0y4DVLSOidwEREREZEWBLOK5q2tvHVFsM4p0l4+F1E5dQSKnoJ1j0PpFkhMgdE3wqTbIXvaOa11wZwkXURERESkNWFbZEUk2LwWUamthp3/ho+ehG2vQH0NDLzAGVs35nOQ3LPVY3vG93mO1fhcIiIiIiLBEtQxeIGiMXgSDC22su0s5eDH73FT/HtOF8wzRyElA8bdAhNvh76jfT6+X+P7REREREQaCfkYPJFw16Sr5NHdUPQM+UVPw1EXJCTDyM/AuC/AsCsgPrHdxw/IJOkiIiIiIu2gBE9i14kD8PGLTktdyWpnXc4lcPHdMPqzkJza5u6+zKPXoUnSRUREREQ6SAmeeBVVBUMqSp2kbvMLsLcAsNB3DFzxYxj7eeiV7fOh2hpn16FJ0kVERERE/KQxeOJV82Sl+XLYO1UGW5c7LXV73gVbDxkjnTnrzr8JMkd0+NCtjbOLqqRYRERERELO1zF4SvDEJ+FaMKS1RGrXzi3M6rnRSeyKP3CSurShTkI35iboMzpgE5EveH1bwzi7+TNGBuSYIiIiIiKNqciKBJQ/BUOC2ZrV0E3y1gnk9yyj+P2n6f3RS8xil7NBn9FwyT0w6jroNy5gSZ2HxtmJiIiISDhRgic+8SeRCdqccLXV5JvNLB/xMjVLvwUcIBs4mTERJtwPo66H9OB1h9Q4OxEREREJN+qiKV4FYgxewLp4VpTCzjdg+6uw8y2oPgnxSezpMYk/lY4ie+rnmH39Je0/bgdonJ2IiIiIdBaNwYtA4ZowBCquDo1Vq6+DT9aB6y0nsSspBCx07wcjZsCIq/mQMdz17PawGx8oIiIiIhIoGoMXgYLWldFPLSVx+bkZ7Uqi2tXF83ixk9C53oJdK6CyHDAwcBJc9gMYcRX0Hw/GqJukiIiIiEgjasELM6GqVhnM1sO2ungWlZQzMROmmC2w+x1wvQlHdjo79hgAw6ZD7nQYejmkpHVq3CIiIiIi4UJdNCNYR7oy+pvoBHOuu3NiqzzBllWvUbVzJcNOrSPl6MfEYSGhK8f6XMhjB4Yw/bpbmThpasCrXoqIiIiIRCJ10YxQHa1W6W/3zvzcDBbOnBiU1sM5k9Ng32p4o8CZaHz/BkbZOohPgqzJFGfN46eb0hmbN50law6ycNZEJqp7pYiIiIhIuynBCyP+jCcLRILmz1x3TRzfB8UfOhOMF38Ahz921sclwMAL4JL5kHMJDJoMiV3JBkZ338bD/p63GXXfFBEREZFYowQvjBSVlDdJyjxJW1FJuU9Jj78JWodaD2ur4OBGKFnjPPathvJ9zntJPZwk7vybYPA0GDAJklICc14fhGvRGhERERGRYNEYvCjiT4EWn8bgWQvH9zpTFZQUOgndwSKoq3be75kFWXkwOB+yp0LfMRAX79d5AzW2UFMoiIiIiEgk0xi8GOPvdAHntB4OTeePn82kbN3fYfcB2L8eDnwEZ446OyR0daYtmPoNyLoQBuZBz/7tjttbq2UgxhYGpNupiIiIiEgEUAtelPCrpau+Do644NBGp7vl/g1Nk7m4BOgzCvpPgAETnYSuz2iI75z/HwhEy6Ra8EREREQkkqkFLwwFs+iHt8nIG849MBEOfQyHNnFo+2rMoc30ObMLas84O3mSufOudZK5AROgz/mQmOxXfP7oaCucJkEXERERkVijBK8TdWrRj6oKKN3mVLAs3coX9n5E1dsfA0caNkmiB6bfGDj/q9BvjDNmLnMkJHQJfDx+6GgRFn+L1oiIiIiIRBp10exkAe0yaC1UHIYjO6BsO5S5n0u3Q3nx2e0SkiFjBIe7DuWpPd0YNPIC/rC9Gz+eeQX5wzID88GCJJgTsIuIiIiIRAp10QxTHepuWFkOR3c54+SO7oajLncytwOqys9ul5gC6cOcqQku+BJkjnK6W/bOgbh4+gC1r2/jbs+5wzy5A7XCiYiIiIi0hxK8TtZid8MhaVBxEI7thWN7nKkIju52krqjLjh9pOlBegyAjGEw7vOQMQIyhkP6cOg5EOLi2nfuME+SvI0tFBERERGRs5TgdYb6Oqg4RNHHm/jHa+/z94lJ5FS/wlf67uD44zupjysjrr666T49B0LaUDjvOkjPhbShPLMrkexh5zN15KCGzRqKtOQOoi0qOCIiIiIiEv2U4Pmrvh5Ol8GJ/e7HJ2dfl5dA+T7ndX0N44BxAOuA5FR6986hPnscRTaTCeMmQK8c6D0YUge1WLUyK6mMu5atZ+HMru0u0qKujiIiIiIi0U9FVjrqiVugdAucOAD1NU3fi0uAHv0hNctJ1lKznEevbOe550BI7tmh02peNxERERGR2KMiK8HWLQOSp0LPAU7C1nPA2dfdMtscC+ePjs4JJyIiIiIi0U8JXkfd+LuQnDYSC6WIiIiIiEjnCE4zkwRF4zF382eMZOHMicxdtp4CV1moQxMRERERkTCgBC+CtFUoJZQWrXSdk2QWuMpYtNIVoohERERERGKTErx2CmUyM+fS3HO6Y+bnZrQ4V1xnGpeV2qQl0dPSOC4rNaRxiYiIiIjEmpAkeMaYq40x24wxO40x94Yiho5SMnMuT0vi3GXrWfD6Ns2vJyIiIiISIp2e4Blj4oHfAtcAo4FbjTGjOzuOjvKWzMRqd8XG1T1nTclWciciIiIiEgKhaMGbDOy01u6y1lYDTwE3hCCODmsrmYnVFr7m1T1V+EVEREREpPOFIsEbCOxrtFziXteEMWa2MabQGFNYWlraacH5oq1kJha7K6q6p4iIiIhIeAhFgmdaWGfPWWHtYmttnrU2LzMzsxPC8o0vyUysdVcM1+qeIiIiIiKxJhQJXgkwqNFyFrA/BHF0iC/JTKx1VwzX6p4iIiIiIrHGWHtO41lwT2hMArAduAL4BFgDzLTWbm5tn7y8PFtYWNhJEfqncQtffm7GOcsiIiIiIiLtZYxZa63N87Zdp7fgWWtrgbnAa8AW4Jm2krtIo+6KIiIiIiISKp3egtcRkdSCJyIiIiIiEmhh24InIiIiIiIiwaEET0REREREJEoowRMREREREYkSSvBERERERESihBI8ERERERGRKBERVTSNMaXA3lDH0YIMILpnMZdQ0vUlwaTrS4JJ15cEm64xCaZwvb4GW2szvW0UEQleuDLGFPpSqlSkI3R9STDp+pJg0vUlwaZrTIIp0q8vddEUERERERGJEkrwREREREREooQSPP8sDnUAEtV0fUkw6fqSYNL1JcGma0yCKaKvL43BExERERERiRJqwRMREREREYkSSvA6wBhztTFmmzFmpzHm3lDHI5HNGDPIGPO2MWaLMWazMebb7vVpxpg3jDE73M+9Qx2rRC5jTLwxZr0xZrl7eYgxZpX7+nraGJMU6hglchljehljnjPGbHV/l03Td5gEijHmbve/j5uMMU8aY5L1HSYdZYx5zBhz2BizqdG6Fr+vjOMR9z1/kTFmUugi950SvHYyxsQDvwWuAUYDtxpjRoc2KolwtcB3rLWjgKnAN93X1L3Am9ba4cCb7mWRjvo2sKXR8i+Ah93X1zHgzpBEJdHiN8Cr1trzgPE415q+w8RvxpiBwDwgz1o7BogHvoi+w6Tj/gpc3Wxda99X1wDD3Y/ZwO87KUa/KMFrv8nATmvtLmttNfAUcEOIY5IIZq09YK1d5359EufGaCDOdbXEvdkS4MbQRCiRzhiTBVwL/Mm9bIDpwHPuTXR9SYcZY3oCnwL+DGCtrbbWHkffYRI4CUBXY0wCkAIcQN9h0kHW2neAo81Wt/Z9dQPwN+v4EOhljOnfOZF2nBK89hsI7Gu0XOJeJ+I3Y0wOMBFYBfS11h4AJwkE+oQuMolwvwa+B9S7l9OB49baWveyvsfEH0OBUuAv7m7AfzLGdEPfYRIA1tpPgIeAYpzErhxYi77DJLBa+76KyPt+JXjtZ1pYp1Kk4jdjTHfgeeD/WWtPhDoeiQ7GmOuAw9batY1Xt7CpvsekoxKAScDvrbUTgVOoO6YEiHss1A3AEGAA0A2n21xz+g6TYIjIfy+V4LVfCTCo0XIWsD9EsUiUMMYk4iR3T1hr/+5efcjTDcD9fDhU8UlEuwj4rDFmD06X8uk4LXq93N2dQN9j4p8SoMRau8q9/BxOwqfvMAmEK4Hd1tpSa20N8HcgH32HSWC19n0Vkff9SvDabw0w3F29KQlnoO8/QhyTRDD3eKg/A1ustQsavfUP4A736zuAlzo7Nol81tofWGuzrLU5ON9Xb1lrbwPeBm52b6brSzrMWnsQ2GeMGeledQXwMfoOk8AoBqYaY1Lc/156ri99h0kgtfZ99Q/gS+5qmlOBck9XznCmic47wBjzGZz/AY8HHrPW/jzEIUkEM8ZcDLwLbOTsGKkf4ozDewbIxvkH7vPW2uaDgkV8Zoy5DLjHWnudMWYoToteGrAemGWtrQplfBK5jDETcIr4JAG7gK/g/CeyvsPEb8aY+4Ev4FSdXg98DWcclL7DpN2MMU8ClwEZwCHgJ8CLtPB95f5PhYU4VTdPA1+x1haGIu72UIInIiIiIiISJdRFU0REREREJEoowRMREREREYkSSvBERERERESihBI8ERERERGRKKEET0REREREJEokeN9EREQkuhhj0oE33Yv9gDqg1L182lqbH5LARERE/KRpEkREJKYZY+4DKqy1D4U6FhEREX+pi6aIiEgjxpgK9/NlxpiVxphnjDHbjTEPGmNuM8asNsZsNMbkurfLNMY8b4xZ435cFNpPICIisUwJnoiISOvGA98GxgK3AyOstZOBPwHfcm/zG+Bha+2FwOfc74mIiISExuCJiIi0bo219gCAMcYFvO5evxG43P36SmC0McazT09jTA9r7clOjVRERAQleCIiItOezQgAAACVSURBVG2pavS6vtFyPWf/DY0Dpllrz3RmYCIiIi1RF00RERH/vA7M9SwYYyaEMBYREYlxSvBERET8Mw/IM8YUGWP+f3t3TAMADANBLHCLuHgCo9LVRpD19EPuzJzXBwHwL28SAAAAIix4AAAAEQIPAAAgQuABAABECDwAAIAIgQcAABAh8AAAACIEHgAAQITAAwAAiFg+vjn+mPwhVAAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15, 4))\n", "plt.xlabel('Time')\n", "plt.ylabel('Population')\n", "plt.plot(times, noisy_experiment, 'x', label='Data')\n", "plt.plot(times, model.simulate(x1, times), label='Fit')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It looks fine, but what happens if we run it again?" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Found solution with loglikelihood -207.2334548548507\n", "[0.74941395 3.98408005]\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "opt = pints.OptimisationController(log_likelihood, [2, 6], method=pints.XNES)\n", "opt.set_log_to_screen(False)\n", "x2, f2 = opt.run()\n", "\n", "print('Found solution with loglikelihood ' + str(f2))\n", "print(x2)\n", "\n", "plt.figure(figsize=(15, 4))\n", "plt.xlabel('Time')\n", "plt.ylabel('Population')\n", "plt.plot(times, noisy_experiment, 'x')\n", "plt.plot(times, model.simulate(x2, times))\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So now we have two very different solutions, but both give an excellent fit.\n", "This could cause all sorts of problems if we wanted to ascribe some sort of meaning to the parameters we found.\n", "\n", "Let's do it again!" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Found solution with loglikelihood -207.23345485485072\n", "[-0.31945689 4.04134415]\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "opt = pints.OptimisationController(log_likelihood, [2, 6], method=pints.XNES)\n", "opt.set_log_to_screen(False)\n", "x3, f3 = opt.run()\n", "\n", "print('Found solution with loglikelihood ' + str(f3))\n", "print(x3)\n", "\n", "plt.figure(figsize=(15, 4))\n", "plt.xlabel('Time')\n", "plt.ylabel('Population')\n", "plt.plot(times, noisy_experiment, 'x')\n", "plt.plot(times, model.simulate(x3, times))\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now try out a bit of MCMC, to see what's going on in the parameter space:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "mcmc = pints.MCMCController(log_likelihood, 3, [x1, x2, x3])\n", "mcmc.set_max_iterations(6000)\n", "mcmc.set_log_to_screen(False)\n", "chains = mcmc.run()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Show traces and histograms\n", "pints.plot.trace(chains)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see from the histograms that the chains are moving over a wide area, and in the plots on the right we see the same.\n", "\n", "Finally, we can make a plot of our parameters, and look for any correlations:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(7, 7))\n", "plt.xlabel('Parameter 1 (k1)')\n", "plt.ylabel('Parameter 2 (k2)')\n", "plt.plot(chains[0, :, 0], chains[0, :, 1], 'x', alpha=0.2)\n", "plt.plot(chains[1, :, 0], chains[1, :, 1], 'x', alpha=0.2)\n", "plt.plot(chains[2, :, 0], chains[2, :, 1], 'x', alpha=0.2)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now get a good idea of what's going on: The parameters $k_1$ and $k_2$ form a ring in parameter space, along which model output is identical. Using sampling allowed us to spot this error in our model formulation." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note however, that the default adaptive method doesn't always do a great job of finding the _full_ circle, so that some experimentation with others methods might be required." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.7" } }, "nbformat": 4, "nbformat_minor": 2 }