examples/sampling/dream-mcmc.ipynb

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    "## Inference: DREAM MCMC\n",
    "\n",
    "This example shows you how to perform Bayesian inference on a time series, using [DREAM MCMC](http://pints.readthedocs.io/en/latest/mcmc/dream_mcmc.html).\n",
    "\n",
    "It follows on from the [first sampling example](./first-example.ipynb)."
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "import pints\n",
    "import pints.toy as toy\n",
    "import pints.plot\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]\n",
    "times = np.linspace(0, 1000, 1000)\n",
    "org_values = model.simulate(real_parameters, times)\n",
    "\n",
    "# Add noise\n",
    "noise = 10\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",
    "# Show the noisy data\n",
    "plt.figure()\n",
    "plt.plot(times, values)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 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\n",
    "log_posterior = pints.LogPosterior(log_likelihood, log_prior)\n",
    "\n",
    "# Create a differential evolution MCMC routine\n",
    "x0 = [\n",
    "    real_parameters * 0.8,\n",
    "    real_parameters * 0.9,\n",
    "    real_parameters * 1.1,\n",
    "]\n",
    "mcmc = pints.MCMCController(log_posterior, 3, x0, method=pints.DreamMCMC)\n",
    "mcmc.set_initial_phase_iterations(500)\n",
    "mcmc.set_max_iterations(1000)\n",
    "mcmc.set_log_to_screen(False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Run!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "Running...\nDone!\n"
    }
   ],
   "source": [
    "# Run!\n",
    "print('Running...')\n",
    "chains = mcmc.run()\n",
    "print('Done!')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "pints.plot.trace(chains)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 648x648 with 9 Axes>",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "# Plot output\n",
    "stacked = np.vstack(chains[:, 200::5])\n",
    "pints.plot.pairwise(stacked, kde=True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "param    mean    std.    2.5%    25%     50%     75%     97.5%    rhat    ess    ess per sec.\n-------  ------  ------  ------  ------  ------  ------  -------  ------  -----  --------------\nr        0.01    0.00    0.01    0.01    0.01    0.01    0.02     1.10    40.84  53.79\nk        501.03  0.57    499.99  500.73  501.02  501.32  502.24   1.10    54.08  71.23\nsigma    9.96    0.26    9.49    9.76    9.96    10.12   10.47    1.03    86.61  114.07\n"
    }
   ],
   "source": [
    "# Check convergence and other properties of chains\n",
    "results = pints.MCMCSummary(chains=chains[:, 200:], time=mcmc.time(), parameter_names=['r', 'k', 'sigma'])\n",
    "print(results)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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