MVA-2021 / computational_stats / hw4_sol.ipynb
hw4_sol.ipynb
Raw
{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy import stats"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise 1 : Adaptive Metropolis-Hastings within Gibbs sampler"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.A – Metropolis-Hastings within Gibbs sampler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 166,
   "metadata": {},
   "outputs": [],
   "source": [
    "def pi(z, a=10):\n",
    "    x, y = z[0], z[1]\n",
    "    return np.exp(-x**2/a**2-y**2-0.25*(x**2/a**2-y**2)**2)\n",
    "\n",
    "def simul_pi(z, i, sigma=3):\n",
    "    u = np.random.uniform()\n",
    "    z_prime = [z[0], z[1]]\n",
    "    z_prime[i] += sigma*np.random.normal()\n",
    "    if u < pi(z_prime)/pi(z):\n",
    "        return z_prime, 1\n",
    "    return z, 0\n",
    "\n",
    "def simul_p(n_iter = 1000):\n",
    "    z = [0,0]\n",
    "    seq_z = []\n",
    "    for i in range(n_iter):\n",
    "        if np.random.uniform() > 0.5:\n",
    "            z, _ = simul_pi(z, 0, sigma = 3)\n",
    "            seq_z.append(z)\n",
    "        else: \n",
    "            z, _ = simul_pi(z, 1, sigma = 3)\n",
    "            seq_z.append(z)\n",
    "    return seq_z"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 167,
   "metadata": {},
   "outputs": [],
   "source": [
    "seq_z = simul_p(1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 174,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "points = np.array(seq_z)\n",
    "\n",
    "x_lim = -15\n",
    "y_lim = 2\n",
    "x = np.linspace(-x_lim, x_lim)\n",
    "y = np.linspace(-y_lim, y_lim)\n",
    "xy = np.dstack(np.meshgrid(x,y)).reshape(-1, 2)\n",
    "z = pi(xy.T)\n",
    "plt.contour(x, y, z.reshape(len(x), len(y)))\n",
    "\n",
    "z_0 = np.zeros((N_samples, D))\n",
    "plt.scatter(points[:, 0], points[:, 1], alpha=.3, c='red', s=4)\n",
    "\n",
    "plt.xlim(-x_lim, x_lim)\n",
    "plt.ylim(-y_lim, y_lim)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see that the resulting chain weel-covers the density $\\Pi$ but gives a higher variance in the $x$ axis.\n",
    "The previous algorithm is rather quick, but depends directly on the number of iterations we want.\n",
    "\n",
    "One improvement regarding the diffence of variance observed between the $x$ and $y$ axis in the point cloud could be to use different sigmas depending on the concerned dimension."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.B – Adaptive Metropolis-Hastings within Gibbs sampler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 186,
   "metadata": {},
   "outputs": [],
   "source": [
    "batch_size = 50\n",
    "\n",
    "def amhgs(n_iter = 1000):\n",
    "    z = [0,0]\n",
    "    seq_z = []\n",
    "    ls = [0.0, 0.0]\n",
    "    accepted_x = []\n",
    "    accepted_y = []\n",
    "    for i in range(n_iter):\n",
    "        if np.random.uniform() > 0.5:\n",
    "            z, accepted = simul_pi(z, 0, sigma = np.exp(ls[0]))\n",
    "            seq_z.append(z)\n",
    "            accepted_x.append(accepted)\n",
    "        else: \n",
    "            z, accepted = simul_pi(z, 1, sigma = np.exp(ls[1]))\n",
    "            seq_z.append(z)\n",
    "            accepted_y.append(accepted)\n",
    "        if i+1 % batch_size == 0:\n",
    "            j = i // batch_size\n",
    "            delta_j = min(0.01, j**(-0.5))\n",
    "            acceptance_rate_x = np.sum(accepted_x)/len(accepted_x)\n",
    "            ls[0] = ls[0] + delta_j if acceptance_rate_x > 0.24 else ls[0] - delta_j\n",
    "            acceptance_rate_y = np.sum(accepted_y)/len(accepted_y)\n",
    "            ls[1] = ls[1] + delta_j if acceptance_rate_y > 0.24 else ls[1] - delta_j\n",
    "            accepted_x = []\n",
    "            accepted_y = []\n",
    "    return seq_z"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 191,
   "metadata": {},
   "outputs": [],
   "source": [
    "seq_z = amhgs(1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 192,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "points = np.array(seq_z)\n",
    "\n",
    "x_lim = -15\n",
    "y_lim = 2\n",
    "x = np.linspace(-x_lim, x_lim)\n",
    "y = np.linspace(-y_lim, y_lim)\n",
    "xy = np.dstack(np.meshgrid(x,y)).reshape(-1, 2)\n",
    "z = pi(xy.T)\n",
    "plt.contour(x, y, z.reshape(len(x), len(y)))\n",
    "\n",
    "z_0 = np.zeros((N_samples, D))\n",
    "plt.scatter(points[:, 0], points[:, 1], alpha=.3, c='red', s=2)\n",
    "\n",
    "plt.xlim(-x_lim, x_lim)\n",
    "plt.ylim(-y_lim, y_lim)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 195,
   "metadata": {},
   "outputs": [],
   "source": [
    "d = 2\n",
    "sigma2 = 100\n",
    "cov = np.eye(d)\n",
    "cov[0,0] = sigma2\n",
    "b = 0.03\n",
    "\n",
    "def pi(X):\n",
    "    new_X = np.copy(X)\n",
    "    new_X[1] = new_X[1] + b * (new_X[0]**2 - sigma2)\n",
    "    return stats.multivariate_normal.pdf(new_X, np.zeros(d), cov)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 202,
   "metadata": {},
   "outputs": [],
   "source": [
    "seq_z = amhgs(1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 203,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "points = np.array(seq_z)\n",
    "\n",
    "x_lim = -20\n",
    "y_lim = 10\n",
    "x = np.linspace(-x_lim, x_lim)\n",
    "y = np.linspace(-y_lim, y_lim)\n",
    "xy = np.dstack(np.meshgrid(x,y)).reshape(-1, 2)\n",
    "z = np.array([pi(xyi) for xyi in xy])\n",
    "plt.contour(x, y, z.reshape(len(x), len(y)))\n",
    "\n",
    "z_0 = np.zeros((N_samples, D))\n",
    "plt.scatter(points[:, 0], points[:, 1], alpha=.2, c='red', s=2)\n",
    "\n",
    "plt.xlim(-x_lim, x_lim)\n",
    "plt.ylim(-y_lim, y_lim)\n",
    "plt.title('density obtained with adaptative HMGS')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 200,
   "metadata": {},
   "outputs": [],
   "source": [
    "seq_z = simul_p(1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 201,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "points = np.array(seq_z)\n",
    "\n",
    "x_lim = -20\n",
    "y_lim = 10\n",
    "x = np.linspace(-x_lim, x_lim)\n",
    "y = np.linspace(-y_lim, y_lim)\n",
    "xy = np.dstack(np.meshgrid(x,y)).reshape(-1, 2)\n",
    "z = np.array([pi(xyi) for xyi in xy])\n",
    "plt.contour(x, y, z.reshape(len(x), len(y)))\n",
    "\n",
    "z_0 = np.zeros((N_samples, D))\n",
    "plt.scatter(points[:, 0], points[:, 1], alpha=.2, c='red', s=2)\n",
    "\n",
    "plt.xlim(-x_lim, x_lim)\n",
    "plt.ylim(-y_lim, y_lim)\n",
    "plt.title('density obtained with HMGS')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the second exemple, it is more obvious that AHMGS more accurately describes the density."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise 2 : Sampling from multimodal distributions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.A – A toy example"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 220,
   "metadata": {},
   "outputs": [],
   "source": [
    "mus = [(2.18,5.76),(8.67,9.59),(4.24, 8.48), (8.41, 1.68),(3.93, 8.82),(3.25, 3.47),\n",
    "       (1.70, 0.50),(4.59, 5.60),(6.91, 5.81), (6.87, 5.40),(5.41, 2.65),(2.70, 7.88),\n",
    "       (4.98, 3.70),(1.14, 2.39),(8.33, 9.50), (4.93, 1.50),(1.83, 0.09),(2.26, 0.31),\n",
    "       (5.54, 6.86),(1.69, 8.11)]\n",
    "w = 0.05\n",
    "cov = 0.1 * np.eye(2)\n",
    "\n",
    "def pi(X):\n",
    "    return np.sum([0.05 * stats.multivariate_normal.pdf(X, mu, cov) for mu in mus])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 236,
   "metadata": {},
   "outputs": [],
   "source": [
    "def display(points, title='Density'):\n",
    "    x_lim = 10\n",
    "    y_lim = 10\n",
    "    x = np.linspace(0, x_lim)\n",
    "    y = np.linspace(0, y_lim)\n",
    "    xy = np.dstack(np.meshgrid(x,y)).reshape(-1, 2)\n",
    "    z = np.array([pi(xyi) for xyi in xy])\n",
    "    plt.contour(x, y, z.reshape(len(x), len(y)))\n",
    "\n",
    "    z_0 = np.zeros((N_samples, D))\n",
    "    plt.scatter(points[:, 0], points[:, 1], alpha=.2, c='red', s=4)\n",
    "\n",
    "    plt.xlim(0, x_lim)\n",
    "    plt.ylim(0, y_lim)\n",
    "    plt.title(title)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 237,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "seq_z = simul_p(10000)\n",
    "points = np.array(seq_z)\n",
    "display(points, title='density obtained with HMGS')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 238,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "seq_z = amhgs(10000)\n",
    "points = np.array(seq_z)\n",
    "display(points,'density obtained with adaptative HMGS')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With this example, some modes get higher density than others, in both AHMGS and HMGS. Therefore the algorithm fails to sample form $\\pi$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.B – Parallel Tempering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 267,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numba\n",
    "from numba import jit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 274,
   "metadata": {},
   "outputs": [],
   "source": [
    "K = 5\n",
    "T = [60,21.6,7.7,2.8,1]\n",
    "   \n",
    "def sample_Y(X, temp):\n",
    "    return np.random.multivariate_normal(mean=X, cov=0.0625*temp*np.eye(2))\n",
    "\n",
    "def parallel_tempering(n_iter = 1000):\n",
    "    \n",
    "    X = np.random.uniform(0,10, size=(K,2))\n",
    "    X_seq = [X]\n",
    "    \n",
    "    for n in range(n_iter):\n",
    "        X_prime = X.copy()\n",
    "        # MH step\n",
    "        for i in range(K):\n",
    "            Y = sample_Y(X[i], T[i])\n",
    "            if np.random.random() < (pi(Y)/pi(X[i]))**(1/T[i]):\n",
    "                X_prime[i] = Y\n",
    "        # Propose a swap\n",
    "        i = np.random.randint(K)\n",
    "        while True:\n",
    "            j = np.random.randint(K)\n",
    "            if i != j: break\n",
    "        X = X_prime\n",
    "        alpha_swap = (pi(X_prime[j])/pi(X_prime[i]))**(1/T[i])*(pi(X_prime[i])/pi(X_prime[j]))**(1/T[j])\n",
    "        if np.random.random() < alpha_swap:\n",
    "            X[i] = X_prime[j]\n",
    "            X[j] = X_prime[i]\n",
    "        X_seq.append(X)\n",
    "        \n",
    "    return X_seq"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 277,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_seq = parallel_tempering(10000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 278,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "points = np.vstack(X_seq)\n",
    "display(points)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 280,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X_seq = parallel_tempering(1000)\n",
    "points = np.vstack(X_seq)\n",
    "display(points)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The first figure illustrates a case where $10000$ iterations were caried out, the second one a case where $1000$ iterations were carried out. Comparatively with HM where the whole space can not be explored, the use of different temperatures allow to cover all the space and more accurately describes the final density."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}