{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Robust parameter uncertainties\n",
    "``Tweezepy`` contains two different methods for calculating uncertainties. The first method relies on calculating and inverting the Hessian of the maximum likelihood estimate. It is fast and sufficient for most circumstances; however, it relies on a Gaussian approximation that may not be valid in some cases (i.e., small sample sizes and parasitic noise). In these cases, a more robust option is to numerically sample the probability distribution of the parameters using a Markov Chain Monte Carlo (MCMC) sampler and estimate errors.\n",
    "\n",
    "Here is an example showing how to use the MCMC method in ``Tweezepy``. First, we'll load in some example data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 576x216 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np # Loads the numpy package\n",
    "import matplotlib.pyplot as plt # Loads the matplotlib package for plotting\n",
    "from tweezepy import load_trajectory # Loads in the exampled trajectory in tweezepy\n",
    "fsample = 400 # sampling frequency in Hz\n",
    "trace = load_trajectory() # load in trajectory in nm\n",
    "N = len(trace) # number of points in trajectory\n",
    "time = np.arange(N)/fsample # time in s\n",
    "fig,ax = plt.subplots(figsize=(8,3), # Figure size\n",
    "                      ncols=2, # number of columns in figure\n",
    "                      gridspec_kw={'width_ratios':[3,1], # width ratio of columns\n",
    "                                   'wspace':0}) # space between columns\n",
    "ax[0].plot(time, trace) # Plot bead positions as a function of time\n",
    "ax[1].hist(trace, bins=100, orientation = 'horizontal') # Plot histogram of bead positions\n",
    "ax[0].set_xlabel('Time (s)') # Label x axis\n",
    "ax[0].set_ylabel('Bead position (nm)') # Label yaxis\n",
    "ax[1].set_xticks([]) # Remove xticks on histogram axis\n",
    "ax[1].set_yticks([]); # Remove yticks on historgram axis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Calculate power spectral density (PSD) and fit it \n",
    "Now, we'll calculate the experimental PSD and fit it using maximum likelihood estimation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 360x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from tweezepy import PSD\n",
    "psd = PSD(trace,fsample,bins = 15)\n",
    "psd.mlefit()\n",
    "psd.plot();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Markov Chain Monte Carlo (MCMC) sampling\n",
    "This tutorial won't go into how or why Monte Carlo sampling works. For more information on MCMC, we suggest checking out [Numerical Recipes](http://numerical.recipes/book/book.html). Rather, this tutorial shows how to use the MCMC \n",
    "\n",
    "Once a MLE fit is obtained, we can sample the parameter space using the `emcee` Python package. By default, 32 walkers are initialized in a tiny Gaussian ball around the MLE result and then run though 2,000 steps of MCMC."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "<frozen importlib._bootstrap>:219: RuntimeWarning: numpy.ndarray size changed, may indicate binary incompatibility. Expected 80 from C header, got 88 from PyObject\n",
      "100%|██████████| 2000/2000 [01:24<00:00, 23.70it/s]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(<Figure size 720x432 with 2 Axes>,\n",
       " [<AxesSubplot:ylabel='$\\\\gamma$ (pNs/nm)'>,\n",
       "  <AxesSubplot:xlabel='step number', ylabel='$\\\\kappa$ (pN/nm)'>])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "psd.mcmc()\n",
    "psd.sample_plot(labels=[r\"$\\gamma$ (pNs/nm)\",r\"$\\kappa$ (pN/nm)\"]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This plot shows the positions of each walker as a function of the number of steps in the chain. As mentioned above, the walkers start in small Gaussian ball around the MLE results but quickly wander and explore the full paramater distribution. \n",
    "\n",
    "It takes the sampler some time to 'forget' the initial state, so we'll throw out twice the autocorrelation time (black vertical line). Then, we'll thin the samples by half the autocorrelation time to ensure the values at each step are uncorrelated. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Results\n",
    "Now that we have a list of sampler positions, we can visualize the parameter distributions using a corner plot (i.e., the 1 and 2D histograms). This uses the `corner` package, which is separate from the emcee package and will need to be installed separately. Once it's installed, we can automatically generate a corner plot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 396x396 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "psd.corner_plot(labels=[r\"$\\gamma$ (pNs/nm)\",r\"$\\kappa$ (pN/nm)\"]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The above plot shows all the one and two dimensional projections of the parameter distributions. The MLE best-fit parameter estimates are indicated by the blue lines. The dotted black lines in the 1D histograms are the 16th and 84th percentiles. The black contour lines in the 2D histogram are the 1, 2, and 3 standard deviations.\n",
    "\n",
    "After running the mcmc sampler, the one standard deviation errors are automatically added to the results dictionary."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'chi2': 9541.523752905014,\n",
       " 'redchi2': 1.4915622561990016,\n",
       " 'g': 9.987274585927754e-06,\n",
       " 'g_error': 4.939065221213263e-08,\n",
       " 'k': 0.0006338066057220219,\n",
       " 'k_error': 7.270886693644723e-06,\n",
       " 'support': 1.0,\n",
       " 'p-value': 0.0,\n",
       " 'AIC': 13644.000903245327,\n",
       " 'AICc': 13644.002779417935,\n",
       " 'g_mcmc': 9.987021282772244e-06,\n",
       " 'g_mcmc_error': 3.435220336428895e-08,\n",
       " 'k_mcmc': 0.0006338804318451684,\n",
       " 'k_mcmc_error': 5.236844753965118e-06}"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# The mcmc results are automatically added to the results dictionary\n",
    "psd.results"
   ]
  }
 ],
 "metadata": {
  "interpreter": {
   "hash": "f94fc5ffea663767ae62903b10257b44f00e90761e17ce479a3f3bec4d89dc46"
  },
  "kernelspec": {
   "display_name": "Python 3.8.3 64-bit ('base': conda)",
   "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": "3.8.3"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
