examples/plotting/mcmc-pairwise-scatterplots.ipynb

{
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Inference plots - Pairwise scatterplots\n",
    "\n",
    "This example builds on [adaptive covariance MCMC](https://pints.readthedocs.io/en/latest/mcmc_samplers/adaptive_covariance_mc.html), and shows you how to plot the parameter distributions.\n",
    "\n",
    "Inference plots:\n",
    "* [Predicted time series](mcmc-predicted-time-series.ipynb)\n",
    "* [Trace plots](mcmc-trace-plots.ipynb)\n",
    "* [Autocorrelation](mcmc-autocorrelation.ipynb)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setting up an MCMC routine\n",
    "\n",
    "See the adaptive covariance MCMC example for details."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pints\n",
    "import pints.toy as toy\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Load a forward model\n",
    "model = toy.LogisticModel()\n",
    "\n",
    "# Create some toy data\n",
    "real_parameters = [0.015, 500]  # growth rate, carrying capacity\n",
    "times = np.linspace(0, 1000, 100)\n",
    "org_values = model.simulate(real_parameters, times)\n",
    "\n",
    "# Add noise\n",
    "noise = 50\n",
    "values = org_values + np.random.normal(0, noise, org_values.shape)\n",
    "real_parameters = np.array(real_parameters + [noise])\n",
    "\n",
    "# Get properties of the noise sample\n",
    "noise_sample_mean = np.mean(values - org_values)\n",
    "noise_sample_std = np.std(values - org_values)\n",
    "\n",
    "# Create an object with links to the model and time series\n",
    "problem = pints.SingleOutputProblem(model, times, values)\n",
    "\n",
    "# Create a log-likelihood function (adds an extra parameter!)\n",
    "log_likelihood = pints.GaussianLogLikelihood(problem)\n",
    "\n",
    "# Create a uniform prior over both the parameters and the new noise variable\n",
    "log_prior = pints.UniformLogPrior(\n",
    "    [0.01, 400, noise*0.1],\n",
    "    [0.02, 600, noise*100]\n",
    "    )\n",
    "\n",
    "# Create a posterior log-likelihood (log(likelihood * prior))\n",
    "log_posterior = pints.LogPosterior(log_likelihood, log_prior)\n",
    "\n",
    "# Perform sampling using MCMC, with a single chain\n",
    "x0 = real_parameters * 1.1\n",
    "mcmc = pints.MCMCController(log_posterior, 1, [x0])\n",
    "mcmc.set_max_iterations(6000)\n",
    "mcmc.set_log_to_screen(False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plotting 1d histograms\n",
    "\n",
    "We can now run the MCMC routine and plot the histograms of the inferred parameters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "Running...\nDone!\n"
    }
   ],
   "source": [
    "print('Running...')\n",
    "chains = mcmc.run()\n",
    "print('Done!')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Select chain 0 and discard warm-up\n",
    "chain = chains[0]\n",
    "chain = chain[3000:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "import pints.plot\n",
    "\n",
    "# Plot the 1d histogram of each parameter\n",
    "pints.plot.histogram([chain], parameter_names=['growth rate', 'carrying capacity', 'noise'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plotting 2d histograms and a matrix of parameter distribution plots\n",
    "\n",
    "Plotting the histograms of two variables (showing their correlation) can be performed using `pints.plot.pairwise` with the parameter `heatmap` set to `True`. Additionally, by supplying the known real parameters, we see the locations of the true values appear as dotted lines in each plot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "pints.plot.pairwise(chain, heatmap=True, parameter_names=['growth rate', 'carrying capacity', 'noise'], ref_parameters=real_parameters)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Matrix of parameter distribution plots with KDE\n",
    "\n",
    "It is also possible to use [kernel density estimation (KDE)](https://docs.scipy.org/doc/scipy-0.19.1/reference/generated/scipy.stats.gaussian_kde.html) to visualize the probability distributions of each parameter. Using the `pints.plot.pairwise` function, this time with the parameter `kde` set to `True`, we can create a matrix of scatterplots with KDE."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "pints.plot.pairwise(chain, kde=True, parameter_names=['growth rate', 'carrying capacity', 'noise'], ref_parameters=real_parameters)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.7.5 64-bit ('venv': venv)",
   "language": "python",
   "name": "python37564bitvenvvenv6fee2a6ea2a745d499a5a8b20d7765b4"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.5-final"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}