{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", " \n", "
\n", "\n", "# Banana Example\n", "Author(s): Paul Miles | Date Created: June 18, 2018\n", "\n", "This technical example constructs a non-Gaussian target distribution by twisting two first dimensions of Gaussian\n", "distribution. The Jacobian of the transformation is 1, so it is easy to calculate the right probability regions for the banana and study different adaptive methods.\n", "\n", "The basics of the model are as follows.\n", "$$B_f(x_i, a, b) = [ax_1, \\frac{x_2}{a}-b(a^2x_1^2 + a^2), x_3, ..., x_{npar}]$$\n", "$$B_f^{-1}(x_i, a, b) = [x_1 /a, ax_2 + ab(x_1^2 + a^2), x_3, ..., x_{npar}]$$\n", "\n", "We can construct a sum-of-squares function\n", "$$B_{sos}(x_i, a, b, \\mu_i, \\lambda) = B_f^{-1}(x_i-\\mu_i, a, b) \\cdot \\lambda \\cdot B_f^{-1}(x_i - \\mu_i, a, b)$$\n", "where $\\mu_i$ are the centers for our target distributions, $\\lambda$ is the target precision, and the banana parameters are $a$ and $b$. For this particular example we consider the problem where we have 2 unknown parameters with center $\\mu_i = 0$, and we have a target correlation of $\\rho = 0.9$ for the first two dimensions. We subsequently define the target precision matrix $\\lambda$\n", "\$$\n", " \\lambda = \\sigma^{-1} = \\begin{bmatrix}\n", " 1 & \\rho & 0 & \\\\\n", " \\rho & 1 & \\\\\n", " 0 & & 1 \\\\\n", " & & & \\ddots \\\\\n", " & & & & 1\n", " \\end{bmatrix}^{-1}\n", "\$$\n", "\n", "Note, for a comparison between using MCMC algorithms in Matlab, Python, and R, see [here](https://github.com/prmiles/mcmc_banana_examples/blob/master/mcmc_banana_examples.pdf)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.9.0\n" ] } ], "source": [ "# import required packages\n", "import numpy as np\n", "from pymcmcstat.MCMC import MCMC\n", "from pymcmcstat.plotting.utilities import generate_ellipse\n", "import matplotlib.pyplot as plt\n", "import pymcmcstat\n", "print(pymcmcstat.__version__)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We create a class to initialize model parameters" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "class Banana_Parameters:\n", "\n", " def __init__(self, rho=0.9, npar=12, a=1, b=1, mu=None):\n", " self.rho = rho\n", " self.a = a\n", " self.b = b\n", " self.sig = np.eye(npar)\n", " self.sig[0,1] = rho\n", " self.sig[1,0] = rho\n", " self.lam = np.linalg.inv(self.sig)\n", " self.npar = npar\n", " if mu is None:\n", " self.mu = np.zeros([npar, 1])\n", " \n", "npar = 6 # number of model parameters\n", "udobj = Banana_Parameters(npar=npar) # user defined object" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Initialize MCMC object\n", "- initialize data structure\n", "- assign model parameters\n", "- define simulation options" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Initialize MCMC object\n", "mcstat = MCMC()\n", "mcstat.data.add_data_set(np.zeros(1), np.zeros(1),\n", " user_defined_object=udobj)\n", "# Add model parameters\n", "for ii in range(npar):\n", " mcstat.parameters.add_model_parameter(\n", " name=str('$x_{}$'.format(ii + 1)),\n", " theta0=0.0)\n", "# Define options\n", "mcstat.simulation_options.define_simulation_options(\n", " nsimu=4.0e3,\n", " qcov=np.eye(npar)*5,\n", " method='dram')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We define a series of functions to evaluation the sum-of-squares error" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# Define model object\n", "def bananafunction(x, a, b):\n", " response = x\n", " response[:, 0] = a*x[:, 0]\n", " response[:, 1] = x[:, 1]*a**(-1) - b*((a*x[:, 0])**(2) + a**2)\n", " return response\n", "\n", "def bananainverse(x, a, b):\n", " response = x\n", " response[0] = x[0]*a**(-1)\n", " response[1] = x[1]*a + a*b*(x[0]**2 + a**2)\n", " return response\n", "\n", "def bananass(theta, data):\n", " udobj = data.user_defined_object[0]\n", " lam = udobj.lam\n", " mu = udobj.mu\n", " a = udobj.a\n", " b = udobj.b\n", " npar = udobj.npar\n", " x = np.array([theta])\n", " x = x.reshape(npar, 1)\n", " baninv = bananainverse(x - mu, a, b)\n", " stage1 = np.matmul(baninv.transpose(),lam)\n", " stage2 = np.matmul(stage1, baninv)\n", " \n", " return stage2\n", " \n", "mcstat.model_settings.define_model_settings(sos_function=bananass)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Run Simulation" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Sampling these parameters:\n", " name start [ min, max] N( mu, sigma^2)\n", " $x_1$: 0.00e+00 [ -inf, inf] N( 0.00e+00, inf)\n", " $x_2$: 0.00e+00 [ -inf, inf] N( 0.00e+00, inf)\n", " $x_3$: 0.00e+00 [ -inf, inf] N( 0.00e+00, inf)\n", " $x_4$: 0.00e+00 [ -inf, inf] N( 0.00e+00, inf)\n", " $x_5$: 0.00e+00 [ -inf, inf] N( 0.00e+00, inf)\n", " $x_6$: 0.00e+00 [ -inf, inf] N( 0.00e+00, inf)\n", " [-----------------100%-----------------] 4000 of 4000 complete in 0.9 sec" ] } ], "source": [ "mcstat.run_simulation()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Extract results and plot chain panel" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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