{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "3d22f9ad-4990-43fb-9b79-cd2c03883b2a",
   "metadata": {},
   "source": [
    "# Simulation de variables aléatoires\n",
    "\n",
    "## Notebook jupyter\n",
    "Le notebook est un document interactif, qui permet de mélanger du texte et des lignes de code (pour nous, c'est du code `python`). Il est possible d'exécuter le code, de le modifier, et d'ajouter (ou de supprimer) des cellules de code ou de commentaire. Vous avez la possibilité d'enregistrer les modifications par le bouton correspondant dans la barre à outils en haut. \n",
    "\n",
    "Pour lire ou éditer un notebook (fichier au format .ipynb) vous pouvez utiliser deux environnements qui s'ouvrent dans un navigateur web: \n",
    "\n",
    "- `jupyter notebook` la version classique qui ouvre un serveur sur l'adresse `http://localhost:8888/`\n",
    "- `jupyter lab` la version plus moderne avec du code javascript pour \"une IDE\" plus dynamique `http://localhost:8888/lab`\n",
    "\n",
    "Dans la cellule de code suivante, vous voyez des instructions en `python`. Pour les exécuter, il faut d'abord cliquer dans la cellule pour la sélectionner, puis faire `Shift+Enter`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "6b5cb3c9-d75d-45a2-9b38-6d23db106605",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "20"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = 17\n",
    "x      # pour afficher la valeur de x on utilise print(x)\n",
    "y = x + 3\n",
    "y      # la dernière instruction est renvoyée, pour éviter l'affichage on peut mettre un ; à la fin: y; "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2cc77fce-ae6f-46e1-832d-973f4a208b03",
   "metadata": {
    "tags": []
   },
   "source": [
    "Les variables `x` et `y` sont désormais définies. Dans la suite, vous pouvez les utiliser et travailler avec. Autrement dit, les notebooks sont un moyen pour excécuter du code progressivement. \n",
    "Exécuter la cellule suivante pour calculer le carré de `y`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "0636fb2d-ff25-416e-93eb-1508df57d497",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "y = y**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "bffd550c-8cb0-4d71-8373-527328000fe4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "400"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "43b7bcd0-660b-4a5d-9a05-daec70485e81",
   "metadata": {},
   "source": [
    "Au fur et à mesure que vous exécutez des cellules de code, vous voyez apparaître des numéros entre crochets à gauche de la cellule. Ces numéros vous aident à garder une trace de l'ordre dans lequel vous exécutez les cellules. Juste pour voir, revenez à la première cellule de code et modifiez la valeur de `y`. Puis, réexécutez la cellule. Cela change la sortie de la première cellule, mais pas de la deuxième (alors que la valeur de `y` a changé). Les numéros entre crochets vous permettent donc de vous répérer plus facilement.\n",
    "\n",
    "Parfois, quand on vient d'exécuter plein de cellules, on perd un peu le contrôle, et on ne sait plus quelles sont les valeurs actuelles des différentes variables. Dans ce cas, il vaut mieux de reprendre à zéro. Pour cela, sélectionnez **Kernel** en haut de la page et choissisez **Restart**. Vous pouvez observer que tous les numéros entre crochets disparaissent ainsi que toutes les sorties en-dessous des cellules de code. Un **Restart** du **Kernel** revient alors à supprimer tous les objets créés.\n",
    "\n",
    "Vous pouvez modifier un notebook comme bon vous semble. Par exemple pour ajouter une cellule, cliquer sur le symbole **+** dans la barre à outils. Cela crée une nouvelle cellule juste en-dessous de la dernière cellule sélectionnée. Par défaut, il s'agit d'une cellule de code dans laquelle vous pouvez écrire des instructions en `python`. Si la nouvelle cellule doit contenir du texte, il suffit de modifier son type par le menu déroulant en changeant **Code** en **Markdown**. Le **Markdown** permet d'écrire du texte, le formatage est très simple. Si cela vous intéresse, double-cliquez sur les cellules de type **Markdown** dans ce notebook pour voir comment ajouter un titre, mettre du texte **en gras** ou *en italique*, créer une liste etc. N'oubliez pas qu'il faut aussi exécuter les cellules **Markdown** en appuyant sur la flèche vers la droite dans la barre à outils."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "0d6df987-a11e-40ec-b640-dd80926fcba1",
   "metadata": {
    "attributes": {
     "classes": [],
     "eval": "FALSE",
     "id": ""
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "400"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x <- 17\n",
    "x\n",
    "y <- x + 3\n",
    "y"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "89f1ed13-aeb9-4f25-872e-fc540d6c1aec",
   "metadata": {},
   "source": [
    "Pour des rappels sur le langage `python` et sur le module `numpy` nous renvoyons sur les pages suivantes:\n",
    "\n",
    "- [rappels python](https://perso.lpsm.paris/~vlemaire/4ma074/tp/outils/bases_python.html): parcourir rapidement cette page pour se rafraichir la mémoire sur python\n",
    "- [numpy array](https://perso.lpsm.paris/~vlemaire/4ma074/tp/outils/numpy.html): structure de donnée que l'on utilisera tout au long de ce cours: **à connaitre rapidement!** \n",
    "\n",
    "Dans la cellule suivante, on charge les modules que l'on utilisera pendant ces séances de TP. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "ffd70230-5922-4067-a67f-f9747f4b2f71",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy import stats\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns # pour des jolis plot\n",
    "sns.set_theme() "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "203a42cd-983a-44c9-9338-3cd70c49c3f7",
   "metadata": {},
   "source": [
    "## Nombres pseudo-aléatoires\n",
    "\n",
    "Depuis la version 1.17 de `numpy` en juillet 2019, le module `random` a évolué. Vous trouverez encore beaucoup de code sur internet ou dans des livres qui n'utilisent pas la nouvelle syntaxe de ce module, mais dans ce cours nous utiliserons cette nouvelle syntaxe. La différence majeure (en dehors des algorithmes utilisés en interne) est l'utilisation d'un **objet** que nous appelerons `rng` de type `Generator` qui correspond au générateur de nombres pseudo-aléatoires. Pour simuler une loi classique on fera appel à **une méthode**. \n",
    "\n",
    "Par défaut, l'algorithme utilisé est le `PCG64` à la différence du Mersenne-Twister qui était le standard auparavant. \n",
    "\n",
    "Exécuter les commandes suivantes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "29e5839c-7d26-41f5-b365-08c93425a9d9",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Le type de l'objet rng est:  Generator(PCG64)\n",
      "Les méthodes utilisables avec l'objet rng sont:\n",
      " ['__class__', '__delattr__', '__dir__', '__doc__', '__eq__', '__format__', '__ge__', '__getattribute__', '__getstate__', '__gt__', '__hash__', '__init__', '__init_subclass__', '__le__', '__lt__', '__ne__', '__new__', '__reduce__', '__reduce_ex__', '__repr__', '__setattr__', '__setstate__', '__sizeof__', '__str__', '__subclasshook__', '_bit_generator', '_poisson_lam_max', 'beta', 'binomial', 'bit_generator', 'bytes', 'chisquare', 'choice', 'dirichlet', 'exponential', 'f', 'gamma', 'geometric', 'gumbel', 'hypergeometric', 'integers', 'laplace', 'logistic', 'lognormal', 'logseries', 'multinomial', 'multivariate_hypergeometric', 'multivariate_normal', 'negative_binomial', 'noncentral_chisquare', 'noncentral_f', 'normal', 'pareto', 'permutation', 'permuted', 'poisson', 'power', 'random', 'rayleigh', 'shuffle', 'spawn', 'standard_cauchy', 'standard_exponential', 'standard_gamma', 'standard_normal', 'standard_t', 'triangular', 'uniform', 'vonmises', 'wald', 'weibull', 'zipf']\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from numpy.random import default_rng\n",
    "\n",
    "rng = default_rng()\n",
    "print(\"Le type de l'objet rng est: \", rng)\n",
    "print(\"Les méthodes utilisables avec l'objet rng sont:\\n\", dir(rng))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "088f068a-b3d8-435a-b8f2-b7f93dc01e0d",
   "metadata": {},
   "source": [
    "L'objet `rng` est défini une fois pour toute et tout l'aléatoire de notre code se fera par des appels à des méthodes de cet objet. C'est un peu comme si on fixait un espace de probabilité $(\\Omega, \\mathcal{A}, \\mathbf{P})$ (notre espace de simulation) et que l'on construisait toutes les variables aléatoires sur cet espace.\n",
    "\n",
    "Vérifions tout d'abord que les nombres pseudo-aléatoires produits $(X_1, \\dots, X_n)$ sont uniforméments répartis et qu'il y a indépendance entre 2 tirages $X_k$ et $X_{k+1}$ pour $k=1,\\dots,n-1$. On fait cette vérification uniquement visuellement en traçant l'histogramme de l'échantillon $(X_1, \\dots, X_n)$ et le nuage de points des paires adjacentes $(X_k, X_{k+1})_{k=1,\\dots,n-1}$ (ce nuage doit remplir uniformément le carré unité $[0,1]\\times[0,1]$).\n",
    "\n",
    "Voici le graphique obtenu avec un échantillon de taille $n = 100\\,000$.\n",
    "\n",
    "![](img/pseudo_alea.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "daeadd7f-1b75-4b38-b6ad-f561c7cc88db",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: `rng.random`\n",
    "Lire la documentation de la fonction `rng.random`. Construire un échantillon `sample` de taille `100000`. Reproduire le graphe de l'histogramme de `sample` et des paires adjacentes ci-dessus (le nombre de `bins` pour l'histogramme est 20 et la taille d'un point est `s=0.5` de transparence `alpha=0.2`)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "aabba307-8189-43c1-a5f9-be156a556a91",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [],
   "source": [
    "#?rng.random\n",
    "size = 100000\n",
    "sample = rng.random(size=size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "2bdf38a0-e124-49aa-b3fb-f04f5e304fa7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.50549267, 0.33083439, 0.1933096 , ..., 0.8753585 , 0.59930909,\n",
       "       0.54992458], shape=(100000,))"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "f73a8209-9b19-47b3-8f2d-8009cd323a6d",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(nrows=1, ncols=2, figsize=(8, 4), layout='tight')\n",
    "ax1.hist(sample, bins=20)\n",
    "ax1.set_title('Histogramme')\n",
    "ax2.scatter(sample[:-1], sample[1:], s=0.5)\n",
    "ax2.set_title('Paires adjacentes')\n",
    "plt.show()\n",
    "#plt.savefig('img/pseudo_alea.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "74efe4f3",
   "metadata": {},
   "source": [
    "## La loi exponentielle\n",
    "\n",
    "On considère la loi exponentielle de paramètre $\\lambda = 2$. On rappelle la densité $f_\\lambda$ et l'inverse de la fonction de répartition (la fonction quantile) $F_\\lambda^{-1}$\n",
    "\n",
    "$$\n",
    "f_\\lambda(x) = \\lambda e^{-\\lambda x} \\mathbf{1}_{x > 0} \\quad \\text{et} \\quad \\forall u \\in [0, 1[, \\; F_\\lambda^{-1}(u) = \\frac{-\\log(1-u)}{\\lambda}.\n",
    "$$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "41a0c5bf-664f-40f9-b4d3-00ebb13185bf",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: 2 façons de simuler\n",
    "\n",
    "On veut comparer 2 échantillons de taille $n = 10\\,000$ de la loi $\\mathcal{E}(\\lambda)$, $\\lambda = 2$:\n",
    "\n",
    "- le premier `sample_numpy` obtenu par un appel de `rng.exponential`\n",
    "- le second `sample_quantile` obtenu par transformation par $F_\\lambda^{-1}$ d'un échantillon $(U_1, \\dots, U_n)$ _i.i.d._ avec $U_i \\sim \\mathcal{U}([0, 1[)$.\n",
    "\n",
    "Vérifier que la moyenne de chacun de ces échantillons est proche de $\\frac{1}{\\lambda}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "a4c83a65-e98e-44a8-a36c-f55b51dc0c9b",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Empirical mean:  0.48851310424957656\n",
      "Empirical mean:  0.5069587130724645\n"
     ]
    }
   ],
   "source": [
    "lambd = 2\n",
    "size = 10000\n",
    "sample_numpy = rng.exponential(scale=1/lambd, size=size) # attention piège: il faut lire la doc! \n",
    "print(\"Empirical mean: \", sample_numpy.mean())\n",
    "\n",
    "unifs = rng.random(size=size)\n",
    "sample_quantile = -np.log(unifs) / lambd \n",
    "print(\"Empirical mean: \", sample_quantile.mean())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e586765d-300c-4972-bfe9-79eedd75fb63",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: représentation graphique\n",
    "\n",
    "On compare graphiquement les histogrammes de ces échantillons `sample_numpy` et `sample_quantile` avec la densité de la loi exponentielle (de paramètre $\\lambda=2$). Ecrire le code pour obtenir le graphique suivante:\n",
    "\n",
    "![](img/expo.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "175556ee-849d-4a96-b5ed-de68aa7b0790",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "m = max(sample_numpy.max(), sample_quantile.max())\n",
    "u = np.linspace(0, m, 100)\n",
    "f_u = lambd * np.exp(-lambd * u)\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(nrows=1, ncols=2, figsize=(8, 4), sharey=True, layout='tight')\n",
    "ax1.hist(sample_numpy, bins=50, density=True, label=\"Sample from numpy\")\n",
    "ax2.hist(sample_quantile, bins=50, density=True, label=\"Sample from quantile function\")\n",
    "for ax in (ax1, ax2):\n",
    "    ax.plot(u, f_u, label=\"True density\")\n",
    "    ax.set_xlim(0, 3)\n",
    "    ax.legend()\n",
    "fig.suptitle(f\"Exponential distribution with lambda = {lambd}\")\n",
    "plt.show()\n",
    "#plt.savefig('img/expo.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "821dc76d-5b0d-4146-8d36-e50b2e090f0e",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: utilisation de `scipy.stats`\n",
    "\n",
    "Reprendre les 2 questions précédentes en utilisant un objet `E` de classe `stats.expon`. Lire la documentation de cette classe et utiliser les méthodes `rvs` (avec l'argument `random_state=rng`), `ppf` et `pdf`. Le but est d'écrire un code qui pourrait s'executer avec n'importe quelle loi à densité (une classe qui contient un méthode `pdf` et non `pmf`). "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "f9714d39-bae1-41b3-8955-430ee12624fe",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy import stats\n",
    "\n",
    "E = stats.expon(scale=1/lambd) # attention piège: il faut lire la doc! \n",
    "sample_scipy = E.rvs(size=5000, random_state=rng)\n",
    "\n",
    "unifs = rng.random(size=5000)\n",
    "sample_ppf = E.ppf(unifs)\n",
    "\n",
    "m = max(sample_scipy.max(), sample_ppf.max())\n",
    "u = np.linspace(0, m, 100)\n",
    "f_u = E.pdf(u)\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(nrows=1, ncols=2, figsize=(8, 4), sharey=True, layout='tight')\n",
    "ax1.hist(sample_scipy, bins=50, density=True, label=\"Sample from scipy rvs\")\n",
    "ax2.hist(sample_ppf, bins=50, density=True, label=\"Sample from scipy ppf\")\n",
    "for ax in (ax1, ax2):\n",
    "    ax.plot(u, f_u, label=\"True density\")\n",
    "    ax.set_xlim(0, 3)\n",
    "    ax.legend()\n",
    "fig.suptitle(f\"Exponential distribution with lambda = {lambd}\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c48b03e3-6de1-4bf0-8238-d5f11bb57a88",
   "metadata": {},
   "source": [
    "## Illustration de la méthode du rejet"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c709d792-02bc-427d-8be6-a05f700cf5df",
   "metadata": {},
   "source": [
    "On propose d'illustrer la méthode du rejet dans le cas d'une loi bêta de paramètres $\\alpha > 1$ et $\\beta > 1$. On rappelle la forme de la densité de la loi\n",
    "\n",
    "$$\n",
    "  f_{\\alpha, \\beta}(x) = \\frac{1}{B(\\alpha, \\beta)} \n",
    "  x^{\\alpha-1} (1-x)^{\\beta-1} \\mathbf{1}_{[0,1]}(x)\n",
    "$$\n",
    "\n",
    "où $B(\\alpha, \\beta)$ est la constante de normalisation de la loi. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "14bc87a5-0b6b-4cc2-bce3-529bed7dde02",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: illustration du rejet\n",
    "\n",
    "Le but est de créer le graphique suivant représentant la méthode du rejet pour une loi bêta de paramètres $\\alpha = 1.5$ et $\\beta = 3$ et une loi auxiliaire qui est la loi uniforme sur $[0,1]$, c'est à dire $g(x) = \\mathbf{1}_{[0,1]}(x)$. La ligne rouge represente $c g(x)$ avec $c = 2$, la courbe bleue correspond à la densité $f_{\\alpha, \\beta}$, les points bleus sont les réalisations acceptées (parmi 5000 réalisations) et les points orangés sont les réalisations rejetées.\n",
    "\n",
    "![](img/rejet.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "b307b859-34bd-45ca-8652-b4d87b90f1f3",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "alpha, beta = 1.5, 3\n",
    "c = 2\n",
    "size = 5000\n",
    "distrib = stats.beta(a=alpha, b=beta)\n",
    "\n",
    "sample = rng.random(size=size)\n",
    "unif_test = rng.random(size=size)\n",
    "accepted = unif_test * c < distrib.pdf(sample)\n",
    "rejected = np.logical_not(accepted) # ou bien ~accepted ou bien (1-accepted).astype(bool)\n",
    "\n",
    "xx = np.linspace(0, 1, 1000)\n",
    "fig, (ax1, ax2) = plt.subplots(nrows=1, ncols=2, figsize=(8, 4), sharey=True, layout='tight')\n",
    "ax1.plot(xx, distrib.pdf(xx), color='blue')\n",
    "ax1.scatter(sample[accepted], c*unif_test[accepted], s=2, alpha=0.5)\n",
    "ax1.plot(xx, 2*np.ones_like(xx), color='red')\n",
    "ax1.scatter(sample[rejected], c*unif_test[rejected], s=2, alpha=0.5)\n",
    "\n",
    "ax2.plot(xx, distrib.pdf(xx), color='blue', label='Density of \\nbeta distribution')\n",
    "ax2.hist(sample[accepted], bins=20, density=True, color='C0', label='Histogram of\\n accepted realizations')\n",
    "ax2.legend(loc='upper right')\n",
    "fig.suptitle(fr'Illustration of the reject method for beta distribution with parameters $\\alpha$ = {alpha}, $\\beta$ = {beta}')\n",
    "plt.show()\n",
    "#plt.savefig('img/rejet.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8ad3c29e-0b2f-4946-ae5c-4a5b46773dca",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: optimisation de la constante $c$ \n",
    "\n",
    "La constante optimale $c$ que l'on peut utiliser dans cet exemple (en considérant $g(x) = \\mathbf{1}_{[0,1]}(x)$) est $c^* = \\max_{x \\in [0,1]} f_{\\alpha, \\beta}(x)=f_{\\alpha,\\beta}(x^*)$. On peut calculer explicitement ce maximum qui correspond au mode de la distribution bêta\n",
    "\n",
    "$$\n",
    "    x^* = \\operatorname{argmax}_{x \\in [0,1]} f_{\\alpha, \\beta}(x) = \\frac{\\alpha-1}{\\alpha + \\beta - 2} \\quad \\text{pour $\\alpha > 1, \\beta > 1$}.\n",
    "$$\n",
    "\n",
    "Dans un cas plus général on ne connaît pas forcément ce maximum mais on peut l'approcher et trouver une approximation par un algorithme type dichotomie ou descente de gradient (méthode de Newton). \n",
    "\n",
    "Utiliser la fonction `scipy.optimize.minimize_scalar` (après avoir lu la documentation) avec les options `bounds=(0, 1)` et `method=\"bounded\"` pour trouver la valeur $c^*$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "c8758df7-f1e5-415f-b285-345e6937a795",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " message: Solution found.\n",
      " success: True\n",
      "  status: 0\n",
      "     fun: -1.878297101062972\n",
      "       x: 0.19999841528793666\n",
      "     nit: 11\n",
      "    nfev: 11\n",
      "Optimal value:  1.878297101062972\n"
     ]
    }
   ],
   "source": [
    "from scipy import optimize\n",
    "res = optimize.minimize_scalar(lambda x: -distrib.pdf(x), bounds=(0,1), method=\"bounded\")\n",
    "print(res)\n",
    "c = -res.fun\n",
    "print(\"Optimal value: \", c)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c132c2ad",
   "metadata": {},
   "source": [
    "## Loi binomiale: définition probabiliste _vs_ inverse de la fonction de répartition\n",
    "\n",
    "On veut comparer deux algorithmes pour la simulation d'une loi binomiale $X \\sim B(n, p)$, $n \\ge 2$, $p \\in ]0,1[$.\n",
    "\n",
    "- Le premier algorithme utilise la définition de la loi binomiale comme somme de $n$ variables aléatoires $(B_1, \\dots, B_n)$ indépendantes de Bernoulli de paramètre $p \\in ]0,1[$, $\\mathbf{P}[B_1 = 1] = p = 1 - \\mathbf{P}[B_1 = 0]$, \n",
    "\n",
    "$$\n",
    "  X = \\sum_{k=1}^n B_k. \n",
    "$$ \n",
    "\n",
    "- Le deuxième algorithme utilise l'inverse de la fonction de répartition de la loi binomiale. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bb82c513-e77d-4526-8b44-ebeaa2095461",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: algorithme 1.\n",
    "\n",
    "Compléter la fonction `binomial_from_def` qui implémente naïvement le premier algorithme et renvoie un échantillon de taille `size`. Attention cette première approche (la plus naturelle quand on débute) sera améliorée dans la suite. Ce n'est pas la façon optimale d'écrire le code en `numpy`.\n",
    "```\n",
    "def binomial_from_def(size: int, n: int=2, p: float=0.5):\n",
    "    \"\"\" \n",
    "    Draw samples from a binomial distribution B(n, p).\n",
    "    Algorithm: first implementation of sum of independent Bernoulli trials.\n",
    "    \"\"\"\n",
    "    def one_realization():\n",
    "        # code à écrire\n",
    "    # code à écrire\n",
    "    return sample\n",
    "```\n",
    "\n",
    "Vérifier que le code est correct en traçant l'histogramme d'un échantillon de taille $10\\,000$. Vous devez obtenir ce graphique:\n",
    "\n",
    "![](img/binom_def.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "5ee599c6-a934-43ea-91e7-a3cd93bf5ae8",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [],
   "source": [
    "def binomial_from_def(size: int, n: int=2, p: float=0.5):\n",
    "    \"\"\" \n",
    "    Draw samples from a binomial distribution B(n, p).\n",
    "    Algorithm: first implementation of sum of independent Bernoulli trials.\n",
    "    \"\"\"\n",
    "    def one_realization():\n",
    "        unifs = rng.random(size=n)\n",
    "        bernoullis = unifs < p\n",
    "        return bernoullis.sum()\n",
    "    result = [ one_realization() for _ in range(size) ]\n",
    "    sample = np.array(result)\n",
    "    return sample"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "8e293ca1-ab1d-4bfa-b7ff-78027f94661b",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "size = 10000\n",
    "n, p = 20, 0.5\n",
    "sample_from_def = binomial_from_def(size=size, n=n, p=p)\n",
    "\n",
    "support = np.arange(n+1)\n",
    "empirical_prop = np.bincount(sample_from_def, minlength=n+1) / size\n",
    "binom = stats.binom(n = n, p = p)\n",
    "\n",
    "fig, ax = plt.subplots(layout=\"tight\")\n",
    "ax.bar(support, empirical_prop, label='Empirical proportion')\n",
    "ax.scatter(support, binom.pmf(support), label='Probability mass function')\n",
    "ax.vlines(support, 0, binom.pmf(support), color='C1', lw=2, alpha=1)\n",
    "ax.set_title('Samples from a binomial distribution obtained by sum of independent Bernoulli trials.')\n",
    "ax.set_xticks(np.linspace(0,20,21))\n",
    "ax.legend()\n",
    "plt.show()\n",
    "#plt.savefig('img/binom_def.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aee9a93c-a97a-421e-8cca-8edbb6106ba6",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: algorithme 2. \n",
    "\n",
    "Ecrire une fonction `binomial_quantile` similaire à celle de la question précédente: qui prend les mêmes arguments et qui renvoie un échantillon de taille `size`. Vérifier graphiquement que l'échantillon produit vérifie la bonne distribution.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "79ffc7b3-4cd0-4c2d-9292-d2991f5a2b88",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [],
   "source": [
    "def binomial_quantile(size: int, n: int=2, p: float=0.5):\n",
    "    \"\"\" \n",
    "    Draw samples from a binomial distribution B(n, p).\n",
    "    Algorithm: quantile function of the binomial distribution.\n",
    "    \"\"\"\n",
    "    binom = stats.binom(n = n, p = p)\n",
    "    unifs = rng.random(size = size)\n",
    "    sample = binom.ppf(unifs)\n",
    "    return sample.astype('int64') # attention au type renvoyé par la fonction quantile "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "e284afa0-c922-4eb9-89e4-270752e9945a",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "size = 10000\n",
    "n, p = 20, 0.5\n",
    "sample_quantile = binomial_quantile(size=size, n=n, p=p)\n",
    "\n",
    "support = np.arange(n+1)\n",
    "empirical_prop = np.bincount(sample_quantile, minlength=n+1) / size\n",
    "binom = stats.binom(n = n, p = p)\n",
    "\n",
    "fig, ax = plt.subplots(layout=\"tight\")\n",
    "ax.bar(support, empirical_prop, label='Empirical proportion')\n",
    "ax.scatter(support, binom.pmf(support), label='Probability mass function')\n",
    "ax.vlines(support, 0, binom.pmf(support), color='C1', lw=2, alpha=1)\n",
    "ax.set_title('Samples from a binomial distribution obtained by quantile function.')\n",
    "ax.set_xticks(np.linspace(0,20,21))\n",
    "ax.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e86c7583-1b18-4e4e-bd63-10b0d338b0e3",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: temps de calcul\n",
    "\n",
    "Pour mesurer le temps de calcul, on utilisera le module `timeit` de python. Dans l'environnement `jupyter` il est encore plus facile d'utiliser ce module grâce à une _magic_ commande appelée `%timeit`. Pour en savoir plus sur ces _magic_ commandes vous pouvez [consulter cette page de documentation](https://ipython.readthedocs.io/en/stable/interactive/magics.html).\n",
    "\n",
    "Pour mesurer le temps de calcul complet d'une cellule notebook on utilise `%%timeit`. Le résultat est une moyenne de plusieurs exécutions."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fc5be755-f42f-4a5b-8006-547e11bd7f20",
   "metadata": {},
   "source": [
    "Pour mesurer le temps d'une seule instruction on utiliser `%timeit` en début de ligne. L'option `-o` permet de sauvegarder le résultat: les mesures des temps d'exécutions et les statistiques associées."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "daf24ad0-9500-4bf0-96a1-96d83b62a4d1",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "113 μs ± 773 ns per loop (mean ± std. dev. of 7 runs, 10,000 loops each)\n"
     ]
    }
   ],
   "source": [
    "size = 10000\n",
    "%timeit liste = [i for i in range(size)] # pas de sauvegarde du résultat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "7235e5a0-e0ec-4532-a115-00e5b1a7687e",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "113 μs ± 1.25 μs per loop (mean ± std. dev. of 7 runs, 10,000 loops each)\n",
      "['__class__', '__delattr__', '__dict__', '__dir__', '__doc__', '__eq__', '__firstlineno__', '__format__', '__ge__', '__getattribute__', '__getstate__', '__gt__', '__hash__', '__init__', '__init_subclass__', '__le__', '__lt__', '__module__', '__ne__', '__new__', '__reduce__', '__reduce_ex__', '__repr__', '__setattr__', '__sizeof__', '__static_attributes__', '__str__', '__subclasshook__', '__weakref__', '_precision', '_repr_pretty_', 'all_runs', 'average', 'best', 'compile_time', 'loops', 'repeat', 'stdev', 'timings', 'worst']\n",
      "Mean time:  0.00011255315285608439\n"
     ]
    }
   ],
   "source": [
    "timings = %timeit -o liste = [i for i in range(size)]\n",
    "print(dir(timings))\n",
    "print(\"Mean time: \", timings.average)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2454a0fe-4871-4087-8c78-0d764c9edd83",
   "metadata": {},
   "source": [
    "Comparer les temps d'exécutions des 2 fonctions `binomial_from_def` et `binomial_quantile` pour différentes valeurs de `size` (par exemple `10000` et `100000`) et de `n` (par exemple `20`, `50` et `200`)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "8b7e5ede-ccb6-4662-b94e-ac3084de417a",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Timing for algorithm 1. with n=20, size=10000\n",
      "19.1 ms ± 225 μs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n",
      "Timing for algorithm 1. with n=20, size=100000\n",
      "190 ms ± 1.02 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n",
      "Timing for algorithm 1. with n=50, size=10000\n",
      "19.7 ms ± 108 μs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n",
      "Timing for algorithm 1. with n=50, size=100000\n",
      "199 ms ± 1.66 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n",
      "Timing for algorithm 1. with n=200, size=10000\n",
      "22.9 ms ± 174 μs per loop (mean ± std. dev. of 7 runs, 10 loops each)\n",
      "Timing for algorithm 1. with n=200, size=100000\n",
      "230 ms ± 4.43 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n"
     ]
    }
   ],
   "source": [
    "for n in (20, 50, 200):\n",
    "   for size in (10000, 100000):\n",
    "        print(f\"Timing for algorithm 1. with n={n}, size={size}\")\n",
    "        %timeit binomial_from_def(size, n, p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "2245a496-66ec-462b-a135-f9a249c0de43",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Timing for algorithm 2. with n=20, size=10000\n",
      "3.09 ms ± 31.3 μs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n",
      "Timing for algorithm 2. with n=20, size=100000\n",
      "29.1 ms ± 252 μs per loop (mean ± std. dev. of 7 runs, 10 loops each)\n",
      "Timing for algorithm 2. with n=50, size=10000\n",
      "3.58 ms ± 29.6 μs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n",
      "Timing for algorithm 2. with n=50, size=100000\n",
      "34.2 ms ± 236 μs per loop (mean ± std. dev. of 7 runs, 10 loops each)\n",
      "Timing for algorithm 2. with n=200, size=10000\n",
      "11.1 ms ± 75.5 μs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n",
      "Timing for algorithm 2. with n=200, size=100000\n",
      "109 ms ± 222 μs per loop (mean ± std. dev. of 7 runs, 10 loops each)\n"
     ]
    }
   ],
   "source": [
    "for n in (20, 50, 200):\n",
    "    for size in (10000, 100000):\n",
    "        print(f\"Timing for algorithm 2. with n={n}, size={size}\")\n",
    "        %timeit binomial_quantile(size, n, p)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5da5597e-a686-43e8-95a1-b52e6fbdde9d",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: code plus efficace \n",
    "\n",
    "Le code de la fonction `binomial_from_def` n'est pas du tout optimal. En effet, en `numpy` (et dans la plupart des langages interprétés) lorsque c'est possible il faut simuler tout l'échantillon d'un coup sans boucle `for`. Dans l'algorithme 1., pour simuler un échantillon de taille `size` on a besoin de `size x n` variables de Bernoullis: on les simule donc d'un seul coup puis on somme uniquement sur l'axe 1 (c'est à dire l'axe de taille `n`). Cette réduction par axe donne un `np.array` de dimension 1 de taille `size`. \n",
    "\n",
    "Cette approche vectorielle est importante et sera utilisée dans la suite lorsque c'est possible.\n",
    "\n",
    "Ecrire la fonction `binomial_from_def_vec` qui implémente l'algorithme 1. de façon efficace et comparer les temps de calculs avec les fonctions précédentes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "58b9c717-1eda-46ee-bffb-b5b6e799fae2",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [],
   "source": [
    "def binomial_from_def_vec(size: int, n: int=2, p: float=0.5):\n",
    "    \"\"\" \n",
    "    Draw samples from a binomial distribution B(n, p).\n",
    "    Algorithm: vectorized implementation of sum of independent Bernoulli trials.\n",
    "    \"\"\"\n",
    "    unifs = rng.random(size=(size, n))\n",
    "    bernoullis = unifs < p\n",
    "    sample = bernoullis.sum(axis = 1)\n",
    "    return sample"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "fd11d314-e2a1-4abd-a4ce-898549b4b711",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Timing for algorithm 1. with n=20, size=10000\n",
      "638 μs ± 3.91 μs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n",
      "Timing for algorithm 1. with n=20, size=100000\n",
      "6.57 ms ± 42.5 μs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n",
      "Timing for algorithm 1. with n=50, size=10000\n",
      "1.49 ms ± 6.65 μs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n",
      "Timing for algorithm 1. with n=50, size=100000\n",
      "16 ms ± 178 μs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n",
      "Timing for algorithm 1. with n=200, size=10000\n",
      "6.29 ms ± 83.4 μs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n",
      "Timing for algorithm 1. with n=200, size=100000\n",
      "62.2 ms ± 785 μs per loop (mean ± std. dev. of 7 runs, 10 loops each)\n"
     ]
    }
   ],
   "source": [
    "for n in (20, 50, 200):\n",
    "    for size in (10000, 100000):\n",
    "        print(f\"Timing for algorithm 1. with n={n}, size={size}\")\n",
    "        %timeit binomial_from_def_vec(size, n, p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "8e338275-a86c-4d6e-8898-389e7bde0781",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "27.1 ms ± 362 μs per loop (mean ± std. dev. of 7 runs, 10 loops each)\n",
      "3.48 ms ± 32.5 μs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n",
      "29 ms ± 130 μs per loop (mean ± std. dev. of 7 runs, 10 loops each)\n",
      "6.56 ms ± 44.3 μs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n",
      "33.9 ms ± 486 μs per loop (mean ± std. dev. of 7 runs, 10 loops each)\n",
      "15.5 ms ± 43.9 μs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n",
      "97.8 ms ± 751 μs per loop (mean ± std. dev. of 7 runs, 10 loops each)\n",
      "30.9 ms ± 179 μs per loop (mean ± std. dev. of 7 runs, 10 loops each)\n",
      "108 ms ± 392 μs per loop (mean ± std. dev. of 7 runs, 10 loops each)\n",
      "62.3 ms ± 885 μs per loop (mean ± std. dev. of 7 runs, 10 loops each)\n",
      "118 ms ± 557 μs per loop (mean ± std. dev. of 7 runs, 10 loops each)\n",
      "125 ms ± 944 μs per loop (mean ± std. dev. of 7 runs, 10 loops each)\n"
     ]
    }
   ],
   "source": [
    "size = 100000\n",
    "timings_quantile = {}\n",
    "timings_from_def = {}\n",
    "grid_n = [10, 20, 50, 100, 200, 400]\n",
    "for n in grid_n:\n",
    "    timings_quantile[n] = %timeit -o binomial_quantile(size, n, p)\n",
    "    timings_from_def[n] = %timeit -o binomial_from_def_vec(size, n, p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "6f2d66a6-faa1-4e58-8f35-f8761f493a24",
   "metadata": {
    "tags": [
     "correction"
    ]
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "t_quantile = [ t.average for t in timings_quantile.values() ] \n",
    "t_from_def = [ t.average for t in timings_from_def.values() ] \n",
    "\n",
    "fig, ax = plt.subplots(layout=\"tight\")\n",
    "ax.plot(grid_n, t_from_def, label=\"From definition\")\n",
    "ax.plot(grid_n, t_quantile, label=\"Quantile function\")\n",
    "ax.set_title(fr'Average time in function of $n$, size={size}')\n",
    "ax.legend()\n",
    "plt.show()"
   ]
  }
 ],
 "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": "3.13.5"
  },
  "toc-autonumbering": true,
  "toc-showcode": false,
  "toc-showtags": true
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
