exercises/uncertainty_propagation_OpenTURNS.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np \n",
    "import pandas as pd\n",
    "import openturns as ot\n",
    "import otkerneldesign as otkd\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Uncertainty propagation methods\n",
    "\n",
    "See the following API page for regarding the methods used below: \n",
    "\n",
    "https://openturns.github.io/openturns/latest/user_manual/designs_of_experiments.html\n",
    "\n",
    "https://efekhari27.github.io/otkerneldesign/master/user_manual/_generated/otkerneldesign.KernelHerding.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def generate_MC(distribution, size):\n",
    "    x_sample = distribution.getSample(size)\n",
    "    return np.array(x_sample)\n",
    "\n",
    "def generate_QMC(distribution, size):\n",
    "    # Other sequences are available (Halton, Faure, etc.)\n",
    "    # Pass the last argument as True for randomized QMC \n",
    "    qmc_experiment = ot.LowDiscrepancyExperiment(ot.SobolSequence(), distribution, size, False) \n",
    "    x_sample = qmc_experiment.generate()\n",
    "    return np.array(x_sample)\n",
    "\n",
    "def generate_LHS(distribution, size):\n",
    "    lhs_experiment = ot.LHSExperiment(distribution, size)\n",
    "    x_sample = lhs_experiment.generate()\n",
    "    return np.array(x_sample)\n",
    "\n",
    "def generate_KH(distribution, size):\n",
    "    # Support points rely on a specific \n",
    "    sp = otkd.GreedySupportPoints(\n",
    "            distribution=distribution,\n",
    "            candidate_set_size=2 ** 12, # increase if the dimension higher \n",
    "            )\n",
    "    x_sample = sp.select_design(size)\n",
    "    return np.array(x_sample)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Uniform inputs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "dim = 2\n",
    "uniform_distribution = ot.ComposedDistribution([ot.Uniform(0., 1.)] * dim)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "size = 128\n",
    "# Monte Carlo\n",
    "x_MC_sample = generate_MC(uniform_distribution, size)\n",
    "# Quasi-Monte Carlo \n",
    "x_QMC_sample = generate_QMC(uniform_distribution, size)\n",
    "# LHS\n",
    "x_LHS_sample = generate_LHS(uniform_distribution, size)\n",
    "# Kernel herding \n",
    "x_KH_sample = generate_KH(uniform_distribution, size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1700x400 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "titles_labels = ['Monte Carlo', 'Quasi-Monte Carlo', 'Latin hypercube sampling', 'Kernel herding']\n",
    "samples_list = [x_MC_sample, x_QMC_sample, x_LHS_sample, x_KH_sample]\n",
    "fig, axs = plt.subplots(1, 4, figsize=(17, 4))\n",
    "for i in range(4):\n",
    "    x_sample = samples_list[i]\n",
    "    axs[i].scatter(x_sample[:, 0], x_sample[:, 1], marker='.')\n",
    "    axs[i].set_xlabel('X0')\n",
    "    axs[i].set_ylabel('X1')\n",
    "    axs[i].set_title(f'{titles_labels[i]} (n={x_sample.shape[1]})', fontsize=14)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Non-uniform inputs\n",
    "\n",
    "See the large catalogue of marginals and copulas available in OpenTURNS: \n",
    "\n",
    "http://openturns.github.io/openturns/latest/user_manual/probabilistic_modelling.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "weibull = ot.WeibullMin(2.0, 1.5, 1.0)\n",
    "exponential = ot.Exponential(1.) \n",
    "marginals = [weibull, exponential]\n",
    "# Copulas \n",
    "correlation = ot.CorrelationMatrix(2)\n",
    "correlation[1, 0] = 0.8 # introduce correlation coefficients\n",
    "normal_copula = ot.NormalCopula(correlation)\n",
    "# Many other copula models available\n",
    "clayton_copula = ot.ClaytonCopula(2.5)\n",
    "# Distributions \n",
    "#my_distribution = ot.ComposedDistribution(marginals, clayton_copula)\n",
    "my_distribution = ot.ComposedDistribution(marginals)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
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data=[[0],[0.0324383],[0.0648766],[0.0973149],[0.129753],[0.162191],[0.19463],[0.227068],[0.259506],[0.291945],[0.324383],[0.356821],[0.38926],[0.421698],[0.454136],[0.486574],[0.519013],[0.551451],[0.583889],[0.616328],[0.648766],[0.681204],[0.713642],[0.746081],[0.778519],[0.810957],[0.843396],[0.875834],[0.908272],[0.94071],[0.973149],[1.00559],[1.03803],[1.07046],[1.1029],[1.13534],[1.16778],[1.20022],[1.23266],[1.26509],[1.29753],[1.32997],[1.36241],[1.39485],[1.42728],[1.45972],[1.49216],[1.5246],[1.55704],[1.58948],[1.62191],[1.65435],[1.68679],[1.71923],[1.75167],[1.78411],[1.81654],[1.84898],[1.88142],[1.91386],[1.9463],[1.97874],[2.01117],[2.04361],[2.07605],[2.10849],[2.14093],[2.17337],[2.2058],[2.23824],[2.27068],[2.30312],[2.33556],[2.368],[2.40043],[2.43287],[2.46531],[2.49775],[2.53019],[2.56263],[2.59506],[2.6275],[2.65994],[2.69238],[2.72482],[2.75725],[2.78969],[2.82213],[2.85457],[2.88701],[2.91945],[2.95188],[2.98432],[3.01676],[3.0492],[3.08164],[3.11408],[3.14651],[3.17895],[3.21139],[3.24383],[3.27627],[3.30871],[3.34114],[3.37358],[3.40602],[3.43846],[3.4709],[3.50334],[3.53577],[3.56821],[3.60065],[3.63309],[3.66553],[3.69797],[3.7304],[3.76284],[3.79528],[3.82772],[3.86016],[3.8926],[3.92503],[3.95747],[3.98991],[4.02235],[4.05479],[4.08722],[4.11966],[4.1521]] levels=class=Point name=Unnamed dimension=1 values=[0.179458] labels=[0.179458] show labels=false derived from class=DrawableImplementation name=pdf as a function of (X0,X1) legend=0.179458 data=class=Sample name=Unnamed implementation=class=SampleImplementation name=Unnamed size=16641 dimension=1 data=[[0],[0.116973],[0.164268],...,[9.10759e-05],[8.5704e-05],[8.06259e-05]] color=#17becf fillStyle=solid lineStyle=solid pointStyle=plus lineWidth=1]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 2D joint distributions plotting\n",
    "graph = my_distribution.drawPDF()\n",
    "graph.setColors(ot.Drawable.BuildDefaultPalette(10))\n",
    "graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "size = 256\n",
    "# Monte Carlo\n",
    "x_MC_sample = generate_MC(my_distribution, size)\n",
    "# Quasi-Monte Carlo \n",
    "x_QMC_sample = generate_QMC(my_distribution, size)\n",
    "# LHS\n",
    "# Note that the LHSExperiment class only accept independent distributions to keep the LHS structure\n",
    "x_LHS_sample = generate_LHS(my_distribution, size)\n",
    "# Kernel herding \n",
    "x_KH_sample = generate_KH(my_distribution, size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1700x400 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plotted_size = 128\n",
    "samples_list = [x_MC_sample[:plotted_size, :], x_QMC_sample[:plotted_size, :], x_LHS_sample[:plotted_size, :], x_KH_sample[:plotted_size, :]]\n",
    "fig, axs = plt.subplots(1, 4, figsize=(17, 4))\n",
    "for i in range(4):\n",
    "    x_sample = samples_list[i]\n",
    "    axs[i].scatter(x_sample[:, 0], x_sample[:, 1], marker='.')\n",
    "    axs[i].set_xlabel('X0')\n",
    "    axs[i].set_ylabel('X1')\n",
    "    axs[i].set_title(f'{titles_labels[i]} (n={x_sample.shape[1]})', fontsize=14)\n",
    "    axs[i].set_xlim(0, 7)\n",
    "    axs[i].set_ylim(0, 7)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Mean estimation\n",
    "\n",
    "Function in OpenTURNS can be defined either using `ot.SymbolicFunction` when the function is explicit, otherwise it can be done using `ot.PythonFunction`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "my_function = ot.SymbolicFunction(['x1', 'x2'], ['x1^2 + 3*x2'])"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Monte Carlo reference "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Monte Carlo mean reference: 12.366161223129236\n"
     ]
    }
   ],
   "source": [
    "ref_size = int(1e6)\n",
    "x_MC_reference = my_distribution.getSample(ref_size)\n",
    "y_MC_reference = my_function(x_MC_reference)\n",
    "mc_ref = np.mean(y_MC_reference)\n",
    "print(f'Monte Carlo mean reference: {mc_ref}')"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Mean convergence benchmark"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "x_indexes = np.arange(1, size + 1)\n",
    "# Evaluate designs\n",
    "y_MC_sample = my_function(x_MC_sample)\n",
    "y_QMC_sample = my_function(x_QMC_sample)\n",
    "y_LHS_sample = my_function(x_LHS_sample)\n",
    "y_KH_sample = my_function(x_KH_sample)\n",
    "# Estimate means\n",
    "y_MC_means = np.cumsum(y_MC_sample) / x_indexes\n",
    "y_QMC_means = np.cumsum(y_QMC_sample) / x_indexes\n",
    "y_LHS_means = np.cumsum(y_LHS_sample) / x_indexes\n",
    "y_KH_means = np.cumsum(y_KH_sample) / x_indexes "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "titles_labels = ['Monte Carlo', 'Quasi-Monte Carlo', 'Latin hypercube sampling', 'Kernel herding']\n",
    "mean_convergence_list = [y_MC_means, y_QMC_means, y_LHS_means, y_KH_means]\n",
    "fig = plt.figure()\n",
    "for i, mean_convergence in enumerate(mean_convergence_list): \n",
    "    plt.plot(x_indexes, mean_convergence, color=f'C{i}', label=titles_labels[i])\n",
    "plt.axhline(mc_ref, color='k', label=\"MC reference\")\n",
    "plt.xlabel('Sample size')\n",
    "plt.ylabel('Mean convergence')\n",
    "plt.legend(loc='lower right');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
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