{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# An Introduction to Multi-fidelity Modeling in Emukit" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Overview" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A common issue encountered when applying machine learning to environmental sciences and engineering problems is the difficulty or cost required to obtain sufficient data for building robust models.\n", "Possible examples include aerospace and nautical engineering, where it is both infeasible and prohibitively expensive to run a vast number of experiments using the actual vehicle.\n", "Even when there is no physical artifact involved, such as in climate modeling, data may still be hard to obtain when these can only be collected by running an expensive computer experiment, where the time required to acquire an individual data sample restricts the volume of data that can later be used for modeling." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Constructing a reliable model when only few observations are available is challenging, which is why it is common practice to develop simulators of the actual system, from which data points can be more easily obtained.\n", "In engineering applications, such simulators often take the form of Computational Fluid Dynamics (CFD) tools which approximate the behaviour of the true artifact for a given design or configuration.\n", "However, although it is now possible to obtain more data samples, it is highly unlikely that these simulators model the true system exactly; instead, these are expected to contain some degree of bias and/or noise." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the above, one can deduce that naively combining observations from multiple information sources could result in the model giving biased predictions which do not accurately reflect the true problem.\n", "To this end, multi-fidelity models are designed to augment the limited true observations available with cheaply-obtained approximations in a principled manner.\n", "In such models, observations obtained from the true source are referred to as high-fidelity observations, whereas approximations are denoted as being low-fidelity.\n", "These low-fidelity observations are then systemically combined with the more accurate (but limited) observations in order to predict the high-fidelity output more effectively.\n", "Note than we can generally combine information from multiple lower fidelity sources, which can all be seen as auxiliary tasks in support of a single primary task." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this notebook, we shall investigate a selection of multi-fidelity models based on Gaussian processes which are readily available in Emukit.\n", "We start by investigating the traditional linear multi-fidelity model as proposed in [[Kennedy and O'Hagan, 2000]](#kennedy).\n", "Subsequently, we shall illustrate why this model can be unsuitable when the mapping from low to high-fidelity observations is nonlinear, and demonstrate how an alternate model proposed in [[Pedikaris et al. 2017]](#perdikaris) can alleviate this issue.\n", "The examples presented in this notebook can then be easily adapted to a variety of problem settings." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Navigation\n", "\n", "1. [Linear multi-fidelity model](#1.-Linear-multi-fidelity-model)\n", "\n", "2. [Nonlinear multi-fidelity model](#2.-Nonlinear-multi-fidelity-model)\n", "\n", "3. [References](#3.-References)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# General imports\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from matplotlib import colors as mcolors\n", "colors = dict(mcolors.BASE_COLORS, **mcolors.CSS4_COLORS)\n", "%matplotlib inline\n", "\n", "np.random.seed(20)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Linear multi-fidelity model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The linear multi-fidelity model proposed in [[Kennedy and O'Hagan, 2000]](#3.-References) is widely viewed as a reference point for all such models.\n", "In this model, the high-fidelity (true) function is modeled as a scaled sum of the low-fidelity function plus an error term:\n", "\n", "$$\n", "f_{high}(x) = f_{err}(x) + \\rho \\,f_{low}(x)\n", "$$\n", "\n", "In this equation, $f_{low}(x)$ is taken to be a Gaussian process modeling the outputs of the lower fidelity function, while $\\rho$ is a scaling factor indicating the magnitude of the correlation to the high-fidelity data.\n", "Setting this to 0 implies that there is no correlation between observations at different fidelities.\n", "Meanwhile, $f_{err}(x)$ denotes yet another Gaussian process which models the bias term for the high-fidelity data.\n", "Note that $f_{err}(x)$ and $f_{low}(x)$ are assumed to be independent processes which are only related by the equation given above.\n", "\n", ">**Note**: While we shall limit our explanation to the case of two fidelities, this set-up can easily be generalized to cater for $T$ fidelities as follows:\n", ">\n", ">$$f_{t}(x) = f_{t}(x) + \\rho_{t-1} \\,f_{t-1}(x), \\quad t=1,\\dots, T$$\n", "\n", "\n", "If the training points are sorted such that the low and high-fidelity points are grouped together:\n", "\n", "$$\n", "\\begin{pmatrix}\n", "X_{low} \\\\\n", "X_{high}\n", "\\end{pmatrix}\n", "$$\n", "\n", "we can express the model as a single Gaussian process having the following prior:\n", "\n", "$$\n", "\\begin{bmatrix}\n", "f_{low}\\left(h\\right)\\\\\n", "f_{high}\\left(h\\right)\n", "\\end{bmatrix}\n", "\\sim\n", "GP\n", "\\begin{pmatrix}\n", "\\begin{bmatrix}\n", "0 \\\\ 0\n", "\\end{bmatrix},\n", "\\begin{bmatrix}\n", "k_{low} & \\rho k_{low} \\\\\n", "\\rho k_{low} & \\rho^2 k_{low} + k_{err}\n", "\\end{bmatrix}\n", "\\end{pmatrix}\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1.1 Linear multi-fidelity modeling in Emukit" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a first example of how the linear multi-fidelity model implemented in **Emukit** *(emukit.multi_fidelity.models.GPyLinearMultiFidelityModel)* can be used, we shall consider the two-fidelity Forrester function.\n", "This benchmark is frequently used to illustrate the capabilities of multi-fidelity models." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import GPy\n", "import emukit.multi_fidelity\n", "import emukit.test_functions\n", "from emukit.model_wrappers.gpy_model_wrappers import GPyMultiOutputWrapper\n", "from emukit.multi_fidelity.models import GPyLinearMultiFidelityModel\n", "\n", "## Generate samples from the Forrester function\n", "\n", "high_fidelity = emukit.test_functions.forrester.forrester\n", "low_fidelity = emukit.test_functions.forrester.forrester_low\n", "\n", "x_plot = np.linspace(0, 1, 200)[:, None]\n", "y_plot_l = low_fidelity(x_plot)\n", "y_plot_h = high_fidelity(x_plot)\n", "\n", "x_train_l = np.atleast_2d(np.random.rand(12)).T\n", "x_train_h = np.atleast_2d(np.random.permutation(x_train_l)[:6])\n", "y_train_l = low_fidelity(x_train_l)\n", "y_train_h = high_fidelity(x_train_h)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The inputs to the models are expected to take the form of ndarrays where the last column indicates the fidelity of the observed points.\n", "\n", "Although only the input points, $X$, are augmented with the fidelity level, the observed outputs $Y$ must also be converted to array form.\n", "\n", "For example, a dataset consisting of 3 low-fidelity points and 2 high-fidelity points would be represented as follows, where the input is three-dimensional while the output is one-dimensional:\n", "\n", "$$\n", "X =\n", "\\begin{pmatrix}\n", "x_{low;0}^0 & x_{low;0}^1 & x_{low;0}^2 & 0\\\\\n", "x_{low;1}^0 & x_{low;1}^1 & x_{low;1}^2 & 0\\\\\n", "x_{low;2}^0 & x_{low;2}^1 & x_{low;2}^2 & 0\\\\\n", "x_{high;0}^0 & x_{high;0}^1 & x_{high;0}^2 & 1\\\\\n", "x_{high;1}^0 & x_{high;1}^1 & x_{high;1}^2 & 1\n", "\\end{pmatrix}\\quad\n", "Y = \\begin{pmatrix}\n", "y_{low;0}\\\\\n", "y_{low;1}\\\\\n", "y_{low;2}\\\\\n", "y_{high;0}\\\\\n", "y_{high;1}\n", "\\end{pmatrix}\n", "$$\n", "\n", "A similar procedure must be carried out for obtaining predictions at new test points, whereby the fidelity indicated in the column then indicates the fidelity at which the function must be predicted for a designated point.\n", "\n", "For convenience of use, we provide helper methods for easily converting between a list of arrays (ordered from the lowest to the highest fidelity) and the required ndarray representation. This is found in **emukit.multi_fidelity.convert_lists_to_array**." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "## Convert lists of arrays to ndarrays augmented with fidelity indicators\n", "\n", "from emukit.multi_fidelity.convert_lists_to_array import convert_x_list_to_array, convert_xy_lists_to_arrays\n", "\n", "X_train, Y_train = convert_xy_lists_to_arrays([x_train_l, x_train_h], [y_train_l, y_train_h])" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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ERCSBpafDihVw5JFBR5I3JdOyl08++SToEERERCTBffcd3HADpKXB3LlQpkzQEeVONdMiIiIiUixs2AA33QRNm8KaNfDkk1C6dNBR5U0z0yIiIiISuJkzoVMnWL4c/vUv6NMHKlcOOqr8aWZaRERERALjPbzyCjRvbo+//hoGDIiNRBqUTIuIiIhIQNLT4brrrD66dWv4/nto0iToqApHyXQYVKxYca/Hw4YN45ZbbgFg0KBBvPHGG3l+f9bX52X69OnUq1ePlJQUVqxYQadOnXJ8XatWrcjeQjCv15xzzjls2LCBDRs28NJLL+Ubh4iIiMj+2roVLrkEhgyB+++H0aMhFjdeVjIdYTfccAOdO3cOy7nefvtt7r33XubMmcPhhx/Ohx9+GJbzjhkzhgMPPFDJtIiIiETFxo1w1lnw2Wfw4ovw+ONQIkaz0hgNO3Y88sgj9OvXD4CZM2fSoEEDUlJSuPPOO6lfv/7u161cuZKzzjqLY489lrvuumuf87z22mu8//77PPjgg1x99dUsWbJk9/dv3bqVK664grp163LRRRexdevW3d83YcIEmjVrRsOGDbn00ktJS0vb59y1atVi3bp13HPPPfz222+74+vcuTMjR47c/bqrr76aTz/9NGw/GxEREUk8GzdCmzbw1VfwzjvWvSOWxVc3j9tugzlzwnvOlBR47rk8X7J161ZSUlJ2P/7rr784//zz93ldt27dGDx4MM2aNeOee+7Z67k5c+bwww8/ULZsWerUqUOvXr2oWbPm7ud79uzJjBkz6NixI506dWLJkiW7n3v55ZcpX7488+fP56effqJhw4YArFu3jscff5zU1FQqVKhA37596d+/Pw899FCO7+Ppp59m7ty5zAn9DKdOncqAAQO48MIL2bhxI1999RXDhw/P++clIiIikostW+C88+DHH+GTT6Bjx6Aj2n/xlUwHpFy5crsTULAa6Ow1yxs2bGDTpk00a9YMgKuuuorPP/989/Nt2rThgAMOAOCEE05g6dKleyXTeZk2bRq33norAA0aNKBBgwYAfPPNN8ybN4/TTz8dgB07duwevyDOOOMMbrrpJtauXctHH33EJZdcQqlS+pMRERGRwtuxw1rfzZgB774bH4k0xFsync8McnFWtmzZ3V+XLFmS9PT0/T6n95527drx7rvvFvkcnTt35q233uK9997j9ddf3++YREREJPHs2gWdO8PYsTB4MFx+edARhY9qpqPkwAMPpFKlSnz77bcAvPfee2E7d8uWLXnnnXcAmDt3Lj/99BMATZs25csvv+TXX38FYPPmzSxcuDDX81SqVIlNmzbtdaxr1648F/qQcsIJJ4QtZhEREUkcjzwCI0ZA377Qs2fQ0YSXkukoGjJkCNdddx0pKSls3rx5d1nH/rrxxhtJS0ujbt26PPTQQzRq1AiAQw45hGHDhnHllVfSoEEDmjVrxoIFC3I9T5UqVTj99NOpX78+d955JwDVq1enbt26dOvWLSyxioiISGJ591147DHo3h1C6UVccd77oGMosMaNG/vstcjz58+nbt26AUVUOGlpabt7Uj/99NOsWrWK559/PuCo8rZlyxZOPPFEvv/++1yT/1j6HYiIiEj0fPstnHGGbcSSmgplygQdUcE552Z77xvn9zrNTEfR6NGjSUlJoX79+kyfPp0HHngg6JDylJqaSt26denVq1fYZtFFREQkMaxZAxddBMnJ8NFHsZVIF0Z8LUAs5i6//HIuj6GK+7Zt27J06dKgwxAREZEYk5EBV18Nf/9ts9OHHBJ0RJGjZFpEREREwurxx2HSJHjtNQh17I1bcVHmEUt13/FGP3sRERHJatIk6NMHrr3WFh3Gu5hPppOSkli/fr2SugB471m/fj1JSUlBhyIiIiLFwNq1Vt5Rty68/DI4F3REkRfzZR41atRg+fLlrF27NuhQElJSUhI1atQIOgwREREJmPdw/fVWJz1xIlSoEHRE0RHzyXTp0qWpXbt20GGIiIiIJLThw2HkSOjXD048MehooifmyzxEREREJFhLlsCtt1pP6d69g44mupRMi4iIiEiR7doFXbva18OHQ4kEyy5jvsxDRERERIIzaBBMnQpDh8KRRwYdTfQl2GcHEREREQmXP/6Ae+6Bdu32zE4nGs1Mi4iIiEihpKXBihVw22222+ErryRGG7ycKJkWERERkQJJT7cFhkOGWK309u1w+ulQs2bQkQVHZR4iIiIiUiC9e1tt9NatlkgDfP994nXwyErJtIiIiIjkKy3NZqS3bNn7+NatdjwtLZi4gqZkWkRERETytXIllCyZ83MlS9rziUjJtIiIiIjkKznZaqZzkpFhzyciJdMiIiIikq+KFaFp032Ply8PPXrY84lI3TxEREREJF/r18NPP9kM9F9/QalSNiPdvTsMGBB0dMFRMi0iIiIieUpLs57SGzbAjz9CrVpWI52cnLgz0plU5iEiIiIiOUpPh169oGpVeOst25jllVcgKQmOOy6CibT38OabcPfdERogfJRMi4iIiEiOMjdoyewpnZFhfaYj2ld63Tq49FLo3Bm++mrP4MWUkmkRERER2UdmX+mtW/c+vmVLBPtKp6ZC/fowahQ8/TRMmQJly0ZgoPBRMi0iIiIi+1i5EkrkkilGpK/055/DuedaTcnMmVbikVtj62JECxBFREREZB+VK+deYRH2vtKjR8Mll8CJJ8LEiXDQQWE8eWRpZlpEREREdstcdFi7ds6btIS9r/TYsXDxxTGZSINmpkVEREQki969bZHhtm17Hy9d2npLh7Wv9C+/wGWXQb16MZlIg5JpEREREQnJbdEhWPny4sVw6KFhGmzzZivtSEqyBYcxmEiDyjxEREREJGTlytzX/JUqBf/8E6aBvIcbboB58+Cdd6BGjTCdOPo0My0iIiIigC0q3Lkz5+fCuujw1VdtF5hHH4V27cJ00mBoZlpEREREAFtUeNRR+x4P66LD33+3wuwOHeD++8NwwmBFPJl2zg11zv3pnJub5dgjzrkVzrk5ods5kY5DRERERPI2b56tCTzpJChXzpLncuXCuOjQe7jxRqslGTw490bWMSQaZR7DgP8Cb2Q7PsB73y8K44uIiIhIAdx3nyXQqam2LnDlSivtCFsbvPfeg/Hj4YUXoGbNMJ00WBFPpr3305xztSI9joiIiIgU3ddfw6efwmOP2SaEAMcdF8YB/voLbrsNmjSBm24K44mDFeTc+i3OuZ9CZSCx2QtFREREJA54D/fcA9WrW74bEXffDevX2+LDGNgmvKCCSqZfBo4GUoBVwH9ye6Fz7nrn3Czn3Ky1a9dGKz4RERGRhDF+PEybBg8+GMaSjqx++skaWP/rX1aQHUec9z7yg1iZx+fe+/qFeS67xo0b+1mzZoU7PBEREZGE5T00bQpr1sDChVCmTAQGOeccqyNZvDhmNmdxzs323jfO73WB9Jl2zh3mvV8VengRMDev14uIiIhIZIwbB999Z9UXEUmkv/gCxo6FZ56JmUS6MCI+M+2cexdoBVQF1gAPhx6nAB5YAvxfluQ6V5qZFhEREQkf76FZM1i9OkKz0t7DqafCqlU2QLlyYR4gcorNzLT3/socDg+J9LgiIiIikrfx4+Hbb+GVVyI0K/3RRzBzJgwdGlOJdGFEpWY6XDQzLSIiIhIembPSq1bBokURSKYzMuCEE6B0afjxx5jr4FFsZqZFREREpPiJ+Kz0hx9aaceHH8ZcIl0YmpkWERERSTDew2mn2Q6HEZmV9h5OPhm2bbM9ymNw23DNTIuIiIhIjiZMgG++ieCs9NixVtrx+usxmUgXhmamRURERBJIxGelAVq0gKVL4ddfIzRA5GlmWkRERET2kTkrPWhQhPLc6dNhxgx4/vmYTaQLI77n3UVERERkN++hTx+oWRO6dYvQIE89BVWrQs+eERqgeNHMtIiIiEiCmDjRdvWO2Kz0vHlWL/3oo1C+fAQGKH40My0iIiKSIJ54AmrUiOCs9H//C2XLwg03RGiA4kcz0yIiIiIJYMYMmDYtgqXMGzfCG2/AFVfAIYdEYIDiSTPTIiIiIgkg4qXMw4bB5s3Qq1eEBiielEyLiIiIxLk5c2DMGOjdO0KlzLt2WYlHs2bQqFEEBii+lEyLiIiIxLmnnoLKleGmmyI0wPjx1lM6wWalQcm0iIiISFxbuBA++ABuvhkOPDBCgwwcCIceCpdcEqEBii8l0yIiIiJxrG9fa7Bx220RGuD3360d3g03JMQmLdkpmRYRERGJU8uWWYONnj2hWrUIDTJ0KJQoAT16RGiA4k3JtIiIiEic+s9/7P7f/47QAOnp8PrrcNZZ1sA6ASmZFhEREYlDf/4JgwfDNdfAkUdGaJDx42HFioTZOjwnSqZFRERE4tDzz8O2bXD33REcZMgQqx/p2DGCgxRvSqZFRERE4szGjdb2+ZJL4PjjIzTI6tXw2WfQpQuULh2hQYo/JdMiIiIiceall+Cff+DeeyM0QFqaFWSnpyfswsNMSqZFRERE4si2bVbi0b49NGwY5pOnp9vGLIccYsl0iRI2BZ6eHuaBYkepoAMQERERkfB5801YsyZCtdK9e1srvG3b7LH39hhs45YE5Lz3QcdQYI0bN/azZs0KOgwRERGRYikjA044ASpVgpkzwbkwnjwtzRYbbt2673Plyln7kIoVwzhgsJxzs733jfN7nco8REREROLEqFG2ffhdd4U5kQZYuRJKlsz5uZIl7fkEpGRaREREJA54b1uHH3UUXHxxBAZITrap75xkZNjzCUjJtIiIiEgcmDEDvv0W7rgDSkViVVzFita5I/vsdPnydjyOSjwKQ8m0iIiISBx45hmoWhW6do3gIA8/bPclS1ryXK4cdO8OAwZEcNDiTd08RERERGLczz/D559Dnz42URwxI0daSceUKXDYYVbakaAz0pmUTIuIiIjEuH79LIm++eYID/TWW3DccdCyZQRWOMYmlXmIiIiIxLDly+Htt61suUqVCA60bBlMnQrXXqtEOgsl0yIiIiIx7PnnYdcuuP32CA/0wQd2f8UVER4otiiZFhEREYlRGzbAK6/AZZdBrVoRHmzECGjUCI45JsIDxRYl0yIiIiIxatAg2LQJ7rwzwgPNnWtbKl5wQYQHij1KpkVERERi0LZtVuLRrh2cfHKEBklPh1699gzwxBP2OD09QgPGHnXzEBEREYlBb70Fq1fDm29GcJDevWHo0D3J8/bt9hhg4MAIDhw7nPc+6BgKrHHjxn7WrFlBhyEiIiISqF27oG5dqFABZs+OUHONtDSoVg22bt33uXLl4M8/47rHtHNutve+cX6vU5mHiIiISIwZNQoWLoS77opgl7qVK/fdOjxTyZL2vCiZFhEREYkl3kPfvlC7NnTqFMGBkpNtt8OcZGTY86JkWkRERCSWfPklfPMN3HEHlIrk6reKFeHii/c9Xr687RATxyUehaEFiCIiIiIx5JlnbKfDbt2iMFjdunaflGSZe0YGdO8OAwZEYfDYoGRaREREJEbMmweffQaPPGITxBE3ciSceiqkplqNdHKyZqSzUZmHiIiISIzo188aadx8cxQGmz8fZs2Cc8+1BPq445RI50DJtIiIiEgMWLHCekv36AFVq0ZwoMyNWk46yR5ro5Y8qcxDREREJAY8/7yVLN9+e4QHytyoZedOe6yNWvKkmWkRERGRYm7jRhg0CC67zFriRUxaGgwZAlu27H18yxY7npYWwcFjk5JpERERkWLulVdg0ya4884ID6SNWgpNybSIiIhIMbZ9Ozz3HLRpAw0bRngwbdRSaEqmRURERIqxt96CVavg7rujMFjFinDNNfse10YtuVIyLSIiIlJM7doFzz4LJ58MbdtGadCWLe2+TBlLnsuV00YteVA3DxEREZFiatQo+OUXePddcC5Kg44eDdWqwaJFsHq1NmrJh5JpERERkWLIe+jb17p3dOoUpUF37ICxY23AypXtJnlSMi0iIiJSDM2YAd98A//9L5SKVsY2fbr14Tv//CgNGPtUMy0iIiJSDPXtazsddusWxUE//RSSkqJYoB37lEyLiIiIFDNz51rpcq9e1kgjKry3Iu127aI4aOxTMi3CkQ30AAAgAElEQVQiIiJSzDz7rOWzN98cxUH/9z9YuhQuuCCKg8Y+1UyLiIiIFBNpaTB7NrzzDtx0E1SpEsXBR42yliEdO0Zx0NinmWkRERGRgKWnW0lHtWpWZZGeDhs22H3UjBoFp54K1atHcdDYp2RaREREJGC9e8PQobB1K+zcacc+/NCOR8XKlTBzprp4FIGSaREREZEApaXBkCGwZcvex7dsseNpaVEIYvRouz/vvCgMFl+UTIuIiIgEaOVKKFky5+dKlrTnI27MGDjiCKhXLwqDxRcl0yIiIiIBSk6GjIycn8vIsOcjavt2SE2Fc86J4p7l8UPJtIiIiEiAKla0jVmy57Hly0OPHvZ8RM2YYbUk55wT4YHik5JpERERkYC1aGF7ppQpY8lzuXLQvTsMGBCFwceMsYFbt47CYPFHfaZFREREAuQ99OsHxxwDs2bBmjVW2hHxGelMY8ZAq1ZQoUKUBowvSqZFREREAjRlim3UMmgQHHCA3aLm999hwQK44YYoDhpfVOYhIiIiEqC+fW2zli5dAhh87Fi7V710kSmZFhEREQnIDz/A+PHwr39BUlIAAYwZA0cfDcceG8Dg8UHJtIiIiEhAnnoKKleGm24KYPCtW2HyZM1K7ycl0yIiIiIB+OUX2zL85pvhwAMDCGDqVEuolUzvFyXTIiIiIgHo2xfKloXbbgsogDFjrAffGWcEFEB8UDItIiIiEmVLl8Kbb8J119niw6jzHkaPtt7S5coFEED8UDItIiIiEmX9+tn9v/8dUACLFsHixSrxCAMl0yIiIiJRtGYNvPYaXHstHHFEQEGMGWP3Z58dUADxI+LJtHNuqHPuT+fc3CzHDnbOTXTOLQrdHxTpOERERESKg+eeg+3b4Z57Agxi7Fg4/nioXTvAIOJDNGamhwFnZTt2DzDJe38sMCn0WERERCSubdgAL74Il14Kxx0XUBCbN9u2iyrxCIuIJ9Pe+2nAX9kOXwAMD309HLgw0nGIiIiIBO3FF2HTJrj33gCDmDwZduxQMh0mQdVMV/ferwp9vRqontsLnXPXO+dmOedmrV27NjrRiYiIiITZ5s1W4nHOOZCSEmAgY8ZAxYrQvHmAQcSPwBcgeu894PN4/lXvfWPvfeNDDjkkipGJiIiIhM9rr8G6dXDffQEG4b0l023bWpNr2W9BJdNrnHOHAYTu/wwoDhEREZGI27HD2uG1bAmnnx5gIPPmwbJlKvEIo6CS6VFAl9DXXYBPA4pDREREJOJefx2WLw94VhqsiwfAWdl7Q0hRRaM13rvA10Ad59xy51wP4GmgnXNuEdA29FhEREQk7uzYAU8+CaeeCu3bBxzM+PFQrx7UrBlwIPGjVKQH8N5fmctTbSI9toiIiEjQhg2zyopBg8C5AAPZsgWmT4ebbgowiPgT+AJEERERkXiVOSt9yinFoLJi+nTbLSbw6fH4EvGZaREREZFE9cYbsHQpvPRSwLPSABMmQJkytgpSwkYz0yIiIiIRsHMnPPEENG4MZ58ddDRYMt2iBZQvH3QkcUXJtIiIiEgEvPkmLFkCDz9cDGalV66EuXNV4hEBSqZFREREwixzVrpRIzj33KCjASZOtHsl02GnmmkRERGRMHv7bVi8GD79tBjMSoOVeFSvDg0aBB1J3NHMtIiIiEgYpafD44/DySfDeecFHQ2wa5fNTLdrByWU+oWbZqZFREREwuidd+C33+CTT4rJrPSPP8LatSrxiBB9PBEREREJk8xZ6ZQUuOCCoKMJmTDB7tu2DTaOOKWZaREREZEwefttWLQIPv64mMxKgyXTDRrAYYcFHUlc0sy0iIiISBhs325t8Bo1ggsvDDqakM2bYcYMlXhEkGamRURERMJg8GDb7fDVV4vRrPS0abanuZLpiNHMtIiIiMh+2rzZaqXPOMOaZhQbEyZAUhI0bx50JHFLM9MiIiIi++mFF2DNmmJWKw2WTLdsCeXKBR1J3NLMtIiIiMh++PtveOYZ6NgRTjst6GiyWL4c5s1TiUeEKZkWERER2Q/9+sGGDVbmUaxoC/GoUDItIiIiUkSrV8Nzz8GVV8JJJwUdTTbjx8Ohh0L9+kFHEteUTIuIiIgU0ZNPWku8Pn2CjiSbjAybmW7fvpgVcccfJdMiIiIiRbB0KQwaBD16wLHHBh1NNj/8AH/9pRKPKFAyLSIiIlIEffpAiRLw4INBR5KDzC3Ei1WfvvikZFpERESkkObPh+HD4eaboUaNoKPJQWqqFXFXqxZ0JHFPybSIiIhIId11F1SsCPfeG3QkOdiyBb78Etq2DTqShKBNW0REREQKITUVPv/cektXrRp0NDn48kvbQrxNm6AjSQiamRYREREpoIwMuOMOqF0bevUKOppcpKZC6dLQokXQkSQEzUyLiIiIFNCwYfDTT/D++5CUFHQ0uZg0CZo2tToUiTjNTIuIiIgUwKZN8MADtmV4p05BR5OLv/6C779XvXQUaWZaREREpACeecZ2PBw5shjvg/LFF+C96qWjSDPTIiIiIvn44w/o1w+uugpOPTXoaPIwaZKVdzRpEnQkCUPJtIiIiEg+7rvP7p96Ktg48pWaCmecYQsQJSqUTIuIiIjkYeZMeOstuP12OOKIoKPJw7JlsGiR6qWjTMm0iIiISC68tyS6WjW4556go8nHpEl2r3rpqNICRBEREZFcfPQRzJgBr74KlSoFHU0+Jk2yrL9+/aAjSSiamRYRERHJwebNNivdoAF07x50NPnw3pLpNm2KcauR+KSZaREREZEcPPmkdfF45x0oWTLoaPIxb5717VO9dNRpZlpEREQkm4UL4dln4dproXnzoKMpgNRUu1e9dNQpmRYRERHJwnu49VYoV842aokJkybB0UfDkUcGHUnCUTItIiIiksXIkTB+PDz6KBx6aNDRFEB6OkyZohKPgCiZFhEREQnZtMlmpRs0gJtvDjqaApo50wJXiUcgtABRREREJOSBB2DFCvjgAygVK1nSpEnWwePMM4OOJCFpZlpEREQEm+AdOBBuvBGaNg06mkJITYWUFKhaNehIEpKSaREREUl46elw/fVWI/3kk0FHUwibN8PXX6teOkCxcgFDREREJGKefx7mzLHyjgMOCDqaQpgxA3bsUL10gDQzLSIiIglt0SKrlT7vPLjkkqCjKaRJk6BMmRhphh2flEyLiIhIwtq1C3r0gKQkGDQoBnfiTk2FZs2gQoWgI0lYSqZFREQkYb34IkyfDgMGQHJy0NEU0vr1VpuieulAKZkWERGRhLR4MdxzD5x9NnTpEnQ0RfDFF7Zdo+qlA6VkWkRERBJORgZ06wYlS8Irr8RgeQdYiUelSnDKKUFHktDUzUNEREQSTv/+MG0aDBsGNWsGHU0RTZoErVrF0O4y8Ukz0yIiIpJQfvwR7r8fLr4YOncOOpoiWroUfv1VJR7FgJJpERERSRjbtsHVV0OVKjFc3gE2Kw1afFgM6LqAiIiIJIx774Wff4YxY2J89+3UVNuu8YQTgo4k4WlmWkRERBLCZ5/Bc8/BzTdbB4+Y5b3NTLdpE8NT6/FDybSIiIjEvT/+gK5dISUF+vULOpr9NHcu/Pmn6qWLiQKVeTjnGgMtgGRgKzAXmOi9/zuCsYmIiIjst/R0uOoq2LEDRoyw3Q5jWma9tJLpYiHPmWnnXDfn3PfAvUA54BfgT6A5kOqcG+6cOyLyYYqIiIgUzcMPw4wZtuDwuOOCjiYMUlPh2GPhCKVgxUF+M9PlgdO991tzetI5lwIcCywLd2AiIiIi++vTT+HJJ6FnT5udjnk7d8LUqXDttUFHIiF5JtPe+xdze845V8Z7Pyf8IYmIiIjsv19+sZyzcWMYODDoaMJk5kxIS1OJRzFSoAWIzrkpzrlaWR43AWZGKCYRERGR/bJpE1x0EZQtCx99FAd10plSU62Dx5lnBh2JhBS0z/RTwDjn3AvA4cDZQLeIRSUiIiJSRLt2QZcusHAhTJwYZ6XFkyZBw4Zw8MFBRyIhBUqmvffjnXM3ABOBdcDJ3vvVEY1MRETi1q5ddqV682bYsmXPbfNmyMiAMmWgdGm7z7yVLw+HHALlygUdvRR3990Hn3wCAwbE2QTu5s3w9dfQu3fQkUgWBW2N9yBwGdASaABMcc7d4b0fHcngREQkNm3YYPWqCxbAsmWwcqXdVq2y+9WrLWkuiooVoVq1PbdDD7XGBscdZ7ejjrLkWxJLWpr9bU2cCH37wg03wL/+FXRUYTZ9ui1A1BbixUpByzyqAE1CXT2+ds6NA14DlEyLiCSwbdtgzhyYNcu2aF6wwG6rs127rFoVDjsMkpOhfn37+uCDoUIFu5Uvv+dWsqTlCzt27Lnt3GnJ0tq1tldF5m3JEvjyS1i/fs9YJUpArVpQp45dDT/lFLslJ+f+PjITseRkS9YldqSn20TtkCG2MeC2bVCzJvTvH4ebA6am2ifF008POhLJoqBlHrdle7wUaBeRiEREpFjyHubPh2+/he++s6YCP/5oyQzAgQdC3bq2TXPdunD88ZbQHnmkLQKLpL//hkWLrEZ24UL7et48mDBhzwx4crIl1U2awBln2L1zexKxkiXttT16WHlAqYJON0mgeveGoUNha5YmvuvWwV13xVEHj0yTJlkiXb580JFIFs57n/uTzg0GXvDe/y+H5yoAlwPbvfdvRy7EPRo3buxnzZoVjaFERBKe95aUfvEFTJ5s92vX2nOVK++Z8W3SxO4PP7z4zQRu2WIz5zNn7rktXGjPVawIVarYjPTOnXu+p3x56N59TyKmWeviKy3NSn225rAbRrlydvUibn5na9fam338cbj//qCjSQjOudne+8b5vS6/z90vAg86507EthBfCyRhG7VUBoYCUUmkRUQk8v7+G8aNg7FjLYFescKOH344nHWWLeY67TSrUS5RoOaqwSpf3uI97bQ9x/76C6ZMsff52mv2oSGrLVvs+GOPwYMPata6OFu5MvcPcCVL2vNxseMh2KdZUL10MZTfpi1zgMuccxWBxsBhwFZgvvf+lyjEJyIiEeS91Th//rndvvzSksaqVW1PiDPPhNat4Zhjit+sc1EdfDBcfLHVbr/7rs1uZrdtmz2/dq3VbGcaOtTu4658IEaVLZvzrDTY33FedfIxJzXVLgk1ahR0JJJNQWum04ApkQ1FRESiwXure/7wQ2sftnixHU9JgXvvhXPPtbKNkiWDjTPSkpNz7yiSOauZ06z1kCHw1FNxVD4Qo9avhwsvtCskpUrB9u17nsss1Ymr39GkSdCqlS6LFEMxcJFORET2165d8NVXcPvttiCwWTN44QVbJDhokLWv++EHK21o2jT+E2mwRKtHj33XcpUvD1dckfsarx074KWXbIc9Ccb69VbtMH8+jBoF111nNdIVK9p99+5WjhM3fv/dPvWqxKNYynMBYnGjBYgiIgXnvXXbeOsteO89q38uUwY6dIBLL4XzzrMOHIksa1u1rHXRjz1mM9c5lRA4Zz/bpCS44AJL3Nq0SYwPIMXBmjX2N7xgAXz6qX0Ncb5Q9LXX7BPDvHnWKkeioqALEPOcmXbOvRm6j7e25yIicWv5cnjmGWjQAE4+2WagGzWypHrtWpvJu/ZaJdJgV8wHDrSuD7Nn2/3AgfazyW3W+qabrLa8e3drvdehg20U8/DDNoEokbN4sXWGW7TI/o4zE2mwBPq44+IwkQarl05OtktJUuzk1xpvHtAWGAu0AvZafuK9/yuSwWWnmWkRSWR5zbxt2gQffWQJ8+TJNnParJklzZddZi3gpHBym7XO2s1j2zZL6oYOtcTae1uw2b27LXLU1ufh8+OP1lFmxw4YMwZOPTXoiKJk1y6oXh3OOQeGDw86moRS0Jnp/JLpW4EbgaOAFeydTHvv/VH7G2hhKJkWkUSUW1L3n/9Yi7dhw2DkSCtJOPpouOYaux1zTNCRx4eClg8sWwZvvGGJ9e+/wwEHwJVX2u+qUaP46YYShLFjrY69cmX70JJQlQ5z5tglpuHDoXPnoKNJKGFJprOc7GXv/Y1hiWw/KJkWkUTUq5claFu27DlWurTV7G7aBAcdBJdfbrPQzZopaQvarl0wdar9zj780GavU1Ks5PXqqy3JloLx3rYFv+suK1saNcq2Ck8o//kP/PvfVr91+OFBR5NQwppMR4pzbgmwCcgA0vMLWMm0iCSavHZ4K1HCZquvvDLy23VL0WzcCO+8A6++ahOM5cpZ2c1119lGMvrgk7utW+HGG21CtlMnuwJToULQUQXg7LNh6VJbfChRFZYFiFFypvc+pSDBiogkmu++szKPnGTu7qdEuvg64ABLCL//3rYyv/Zaq21v3tw2hXnuOWvzJnubN896nQ8fbgs7R4xI0ER6xw6YNs3axUixVRySaRERyWLHDisP6NDB2sru3Jnz6+Juh7c45hw0bgyvvAKrVlmns0qVrBY+ORmuusp2i46hbrUR4b2VxzRubJ1Vxo2DRx6Jja3rI+Kbb6y+S/2li7Wg/zw9MME5N9s5d33AsYiIBGrhQqsNrVHD+kDPn2+zcl265NyirUePOG0DFucyN4v55hvrUHH99bbArnVrqFPH2hquWRN0lNG3fDmcf779bJo1s59N1tZ3CSk11T5JtGoVdCSSh6Brpg/33q9wzlUDJgK9vPfTsr3meuB6gCOOOKLR0qVLA4hURCQytm2zy/6DB9uitZIlLaG47jpo394eF6RFm8S2rVvtasTgwTB9uv1eL7jA/g7ato3vDWF27bKZ+jvvtKswTzwBt94a3++5wE47zabrv/466EgSUkwsQMzKOfcIkOa975fba7QAUUTixdy5lji9+Sb8/be1tOvZE7p2hUMPzfl74nqHN9lt/nxLLocPt3rqww6zMpBrr4WTTgo6uvD68ku47TaYNctm5gcPtg1wBPjnHzj4YLjnHnj88aCjSUjFfgGic66Cc65S5tdAe2BuUPGIiETa5s1WD9qsGZx4IgwaZJexJ02yEo977sk9kYY43+FNdqtb17qhrVgBH3wATZrYLpYpKdYe7plnrCQili1caH2jmze3GvI33rCKBiXSWUydapehVC9d7AVZM10dmOGc+xH4DhjtvR8XYDwiIhExezbccIPNMPboYe3S+ve3ZOndd21GLmEXWEmuypa1lnAjR9oViRdftI4Wd98NRxxhiWj//rG1hfncudbKsW5d6xn98MPwyy826642gdmkplovxWbNgo5E8lFsyjwKQmUeIhIr/v7b+gsPGQI//GD/J156qdXAnn66EgcpukWL7EPYxx/bIj2wWeuLL4aLLoJ69YrX31d6Onz2mV2JmTDBrqzcfDPcfrv1UJdc1Ktnq5HHjw86koQVczXTBaFkWkSKs127bHvvIUMs0cnc+a5nT9v57sADg45Q4s3ixfDJJ3b76itbq3b44Xa1I/N2xBHRj8t765H+4YeW+K9YYXnh9dfDTTdBlSrRjymmrFxpv8hnnrGVmRKIgibTWgcuIrKfVqyw3dmGDrXk5oADoHt3K+lo2DDo6CSeHXUU3HGH3VatshngSZOs1d6bb9prjjnGkurTToNGjazEIhKdMv780z5MTp5s4y9bZtvet28PL70E55yj7jMFNnmy3ateOiZoZlpEpAh27IDPP7dZ6HHjbFb6zDMtgb74YivrEAnKrl3w88+Wk02aZGvZ/vnHnitf3ioIjj/ebkcdBTVr2sxxtWqQlJR7mUh6Oqxda7tbL11qCwnnzLHb4sX2msqVrS3yJZdYm0ddkSmCrl3tH5g//9SCigCpzENEJALmz7cE+o03LKk4/HD7f69bN2tvJ1IcZWRY4jtrli2I/flnWLAg564gpUvb1ZXMpNo56/+8caNtxpfdscdaOVOjRvaBsmFDzUDvF+/t081pp8H77wcdTUJTmYeISJisWwcjRlgC/d13lihk7tTWoYM2l5Dir2RJK++oW9c6Z2TatMnKMf74w27r1lnSvHGj1fyD5XaZCXblylC1Khx5pNVi166tVo1h98svVjumEo+YoWRaRCQH27fD6NGWQI8ZYzNzJ50E/frBNddA9epBRyiy/ypVspKPevWCjkR2mzTJ7pVMxwwl0yIiId7DN99YAj1ihLW3O/RQ29o4HnefE5FiKDXVpvy1g03MUDItIglv/nxLnt9+G3791RYPXnQRdO4Mbdqo/lNEoiQ9Hb74wprSS8zQfxEikpAWL7YE+r334KefbJFVq1Zw//3WhaBSpaAjFJGEM3u2FayrxCOmKJkWkYSxfDl88IEl0N99Z8dOOw1eeMG2bT7ssGDjE5EEl1kv3bp1sHFIoSiZFpG4tnw5jBxpHaamT7djDRvaxmKXXWZdCUREioXUVFucccghQUcihaBkWkTizq+/2nbeH38M335rx044AR59FC6/HI47Ltj4RET2sWULfPkl9OoVdCRSSEqmRSTmeQ//+9+eBPp//7PjjRrBE0/YYsK6dYONUUQkT19+aVurql465iiZFpGYtHMnfPWV7bj7ySfw22+2iLB5cxgwwBJolXCISMxITbXdcVq0CDoSKSQl0yJSbKSlwcqVkJyc865q69fDuHGWQI8bBxs22P89rVvDXXfBBRdoMxURiVGpqdCsGVSoEHQkUkhKpkUkcOnp0Ls3DBli2x5nZNhW3f372866n39ut6+/hl27LGG+6CLo2BHatVMbOxGJcevXww8/QJ8+QUciRaBkWkQC17s3DB0KW7fuOTZoEAwfDps22eOGDeGBByyBbtQISpQIJlYRkbD74gtb/KF66ZikZFpEArVpEwweDNu37308PR02b7Ye0BdfDIcfHkx8IiIRl5pql9hOOSXoSKQIlEyLSNT9/bf93zF+PIwZs28inal8eejQQYm0iMS51FTbgrWU0rJYpN+aiERcerrtODh+vN1mzrTa5wMOgDPOgLFjrTtHdhkZthhRRCRuLV5s7YhuvTXoSKSIlEyLSEQsWWKJ84QJtkPuxo1W59ykCTz4ILRvb1+XKmV7FAwdansWZCpfHrp3z7mrh4hI3Jg40e47dAg2DikyJdMiEhZpaTBlyp7Z50WL7HjNmnDppfb/ROvWcPDB+37vgAF2n7WbR/fue46LiMStCRPgiCO0NWsMUzItIkWyaxfMmWP/D4wfb5t37dxpM8qtWsHNN1sCXaeObaaSl1KlYOBAeOqpvPtMi4jElfR0u3R36aX5/0MpxZaSaREpsFWr7Irk+PF2v3atHT/pJLjtNkuemzeHsmWLdv6KFTU5IyIJZOZMq4Fr3z7oSGQ/KJkWkVxt2wYzZuyZff7pJzterZolzu3b26Yphx4abJwiIjFp/HibkW7TJuhIZD8omRaR3byH+fP3JM9Tp9pGKqVL24zz009bEt2ggTZNERHZbxMmWG/pnBaTSMxQMp0f7+0yTJMmQUciEhFpadbidPRoGDcOli+343XqwHXX2exzq1ZQoUKgYYqIxJcNG+Dbb+G++4KORPaTkun8vPSS9e1KTbVWBCJx4LffLHkePdo6cOzYAZUrW8nGQw9ZAn3kkUFHKSISxyZPtpXcqpeOeUqm89O1K7z4Ilx1lbUuUHGoxKCdO63bxuefWwK9YIEdr1PHPiuee66VcZQuHWycIiIJY8IE20K8adOgI5H9pGQ6PxUqwPvvW5nHNddYIWnJkkFHJZKvtWttZ8HPP7d/szduhDJlbMfBG2+0BProo4OOUkQkAXlv+UTr1prFiANKpguifn3473+hRw944gm7Di5SDC1dCp98YrcZM+wK4mGHQadO0LEjtG2r/s0iIoH77TfbJvbOO4OORMJAyXRBdetmxaWPPGLXw1U/LcVAZveNjz+2BPr77+34iSfCAw/ABRdASoo6b4iIFCvjx9u96qXjgpLpgnLOFiPOnKn6aQlUZoOZzAR64UI73qwZPPssXHghHHNMsDGKiEgeJkyA2rVVaxcnlEwXRsWK8MEHqp+WqPMefvgBRoywEv4lS2wL7jPPhN69bQb6sMOCjlJERPK1c6d18rj6am0hHieUTBdW/fowcCD07Kn6aYm4uXPhvfcsif71V0ug27WzaqPzz4eDDgo6QhERKZRvvrEG/yrxiBtKpouie3ern+7TB1q0sOlBkTD55RdLnkeMgHnzrN65dWu4+2646CKoUiXoCEVEpMgmTLCr2lp7FTeUTBeFc/Dyy3vXT1evHnRUEsP+/BPefRfefBNmz7Y/sRYtrEz/kkugWrWgIxQRkbCYMAFOPRUOPDDoSCRMtMa/qDLrpzdssPrpjIygI5IYs3WrlXCcey4kJ8Ntt1ltdP/+tqX31KnWD1qJtIhInPjrL5uIU4lHXFEyvT9OPNHqp1NT4ckng45GYsCuXfDFF1YpVL06XHkl/PSTtRr9+Weble7d25JrERGJM6mpNmuiZDquqMxjf/Xosaf/9OmnqwZKcrRkCQwZAm+8AcuW2YWNTp2gc2fbkVB9oEVEEsCECXDAAXDKKUFHImGkZHp/OQeDBtmU4hVXWP+yww8POiopBnbsgE8/hcGDbTICoEMHePppa2VXvnyw8YmISBR5b8l0mzbWmknihubDwqFiRdtBY8sWuPRSy6IkYS1YAP/+t32muuwy687x8MO21ffYsVbaoURaRCTBLFgAf/yhEo84pGQ6XOrWtev4X38Nd90VdDQSZVu2wPDh1oGjbl14/nkr3xg7FhYvtmS6Zs2goxQRkcCMHWv3Z58dbBwSdrrOEE6XX27J9PPPQ9OmVvYhce2HH+C11+Dtt2HjRjj2WOjbF7p0UbdEERHJYswYqFcPjjgi6EgkzJRMh9szz1jbm549oUEDOOGEoCOSMPvnH3jnHUuiZ8+GpCRbTNizJ7Rsqd1hRUQkm7Q0mDYN/vWvoCORCFCZR7iVKQPvvw8VKthuG5s2BR2RhIH38NVX0K0bHHaY9X/eudM6I65caZutnHGGEmkREcnBpOdj/EIAACAASURBVEn2n8Y55wQdiUSAZqYj4fDDbTeOtm2tdd6IEcqyYtS6dZYov/aabe1dsSJcfTVcdx00bqxfq4iIFMDYsfYfyOmnBx2JRIBmpiPlzDPhqadsl8T+/YOORgph1y5rZXfFFfa56PbboVIlS6hXrYJXX7UWoUqkRUQkX95bvXS7dnb1WuKOZqYj6c474bvvrLvHiSeqHU4xt3IlDBtmTVkWL4aDDoIbbrBa6BNPDDo6ERGJSfPmWUu8Bx8MOhKJECXTkeScZWeLFlmnj+++s3YPUmykp9vVt9deg9GjISPDLio89hhcfLEtLhQRESmyMWPsXi3x4paS6UirWBFGjrS6gAsugG++gcqVg44q4f3+u81Av/66zUhXr24XErp31+cdEREJo7Fj7fJmjRpBRyIRoprpfGzebFdo9kvt2lY7vXAhXHONFeVKRKWl2Y87LW3PsW3bbF1o+/Zw1FFW0p6SAp98YlfgnnpKibSIiITRP//A9OmalY5zSqbzMWKE9Vg//XSbxdy8uYgnOvNM28zls8/goYfCGqPskZ4OvXpBtWrQqJHdX3EF3HwzJCfbVt6//AJ9+sCSJVbaceGFULp00JGLiEjcmTTJ/mNSS7y45rz3QcdQYI0bN/azZs2K6ph//glvvGE1tb/8Yl0drrrKWqM1bFjIjg7ew/XX28lGjIDLLotY3ImqVy8YOtS2986qZEn7cXfvDq1bQwl9jBQRkUi7/nr7/37dOs3axCDn3GzvfeN8X6dkumC8hy+/hMGDrWJj61YrEejZ0/oOH3hgAU+0Y4dlcz/8YCdMSYlo3Ilk40abid6xY9/nkpJg7VorYRcREYk476FmTWjaFD78MOhopAgKmkxrfq6AnIPmzWH4cFuw9uKLdvyWW2xHvM6drSwq388mZcrARx/BwQdDx46wfHnEY49n3sOsWdC7t9U755RIA5QqZb83ERGRqJg7F1asUL10AlAyXQQHHgg33WSTy7NnQ9eu8Omn0LIl1K0L/frZ5h65ql7dinX/+QfOPdfupVB++w0efdR+3qecAi+9BKeemns//IwMq5kWERGJCrXESxhKpvdTw4bw8st7NvyoWtVarNWoAR06wFtv7d1RYrcGDdj61kf4efNIv6gT7NwZ7dCLrZw6cYDVrw8caFfMjjkGHn4YDj3UdiRcvdrWdl5/PZQvv/f3lS9vu7qrxENERKJm7Fg46STN5CQAJdNhUqECdOkCM2bAggVw332WEF57rU1EX3MNjBtnOXNmx4kqV7TjxpKDKTV5Il+f9H+k74yd+vVIyKkTR/fu8N//2i6syclw661Wr963LyxbBlOm2GLQgw6ycwwYYN9Trpwlz+XK2eMBAwJ9ayIikkg2brSEQF08EoIWIEZQ5qLFt96C99+Hv/+2Uunq1W276u3b7XWP8DAP8yifn/ooHb9J3O1Gc+vEAXDccXDJJdZJpX79/M+VlmZXC5KTNSMtIiJR9tFH0KkTTJsGLVoEHY0Ukbp5FDPbt9vM9Hvv2W1vnmF0pQtvsO2V4SRd3zmIEAOzfTtMnAgXXWSz09mVLWudOCpVin5sInFt2zb71PnXX3b7//buO0zq8ur/+OdmQarCShEB6aJUJeFnFBRELGCPUkQNCgg2MIIN/MXymMQWlRi7ggVBQbFkNSbGSBVQAQ0IqyAgIEoTAUVg2XI/fxzm2QURhtnZuae8X9f1vWZ3Ztg97tfdOXN/z33O5s126WfHDvvFdM76SGZl2bvSgw+2Ca6HHWbvVKtXP8D+oECGGDjQEurvvrMd8EhJ0SbTnOEEqVjRpom3bGm1vbsPf3EapGd0hFary9UDtUz11XRQt7R9jfLeNhC+956VlE2evO9hOBUq2IZOkmngAHlv3QQWLrT6s1Wrdj/WrSvd169c2caJtmhhR7t2UocOtqmBZu7IVN7bi9vpp5NIZwjOcoLVq7f3aeL5OkgX6jVNLzpJTa48T2eP/I9qnX28unWTOnaUmjVL3QWgoiJp0SK72hU51q61x5o0sVrzLl3sdseOn/97OnEAUdi+3VoMffKJJc+RY8uW4udUqSI1bCg1amQ97hs2tN3SNWtaDVqNGvacSpWKW+MUFdklo61bpR9/tK+3bp2taH/zjb0z/uIL6e23izdSH3KI/eHq2tX66rdvb6vbQCaYP99WgOjikTFIphOsWjW7+rNnbXCVKtKlA2qodv93VdSjsyZu6qGz/z5Fl421oS61a0snnGCvTx072ga9PbtWJAPvpa++stf0yDF7ttWLS/a6fcop1kbw5JNtMSvyJmHGjL3/XAYMoO4Z2E1RkSWwH30kffyx3X72WXGdVHa2bS6IbDJo08Yui9WqVXbvygsKpNxca/w+Z469a77lFnusdm3p3HOl88+XTj3VknUgXeXk2O8Zmw8zBjXTARQU2JCRMWNssaaw0BLsUaN2XRFauVI66ST5HTu0dPQ0TV3XUrNmSbNmWYcQyX5PmzSRWrfe/TjqqMQk2Tt3SitW2KLU0qV2LFhgyXNkISwrS2rVSjruOEueO3e2BbFfei3f788FyFT5+fbLNX26NG2adQnYvNkeO+QQ+yWLHB062KWcZLiUtXatNGWK1bZFeuvXqCH16WOXoo4/PjniBOKpQwe7sjNrVuhIUEpsQEwB++w48eWXtgM4K8uWbJs2lWR7GWbPtiu5ublWPrF48e4b97KzbQW4fv3io25dqzmuWnX3o3JlS1ojLfvy8+3YuVPauNG+34YNdnz3nfV6/uorK7csWa5StaotfrVvX3y0aWNfP64/FyAT5OXZinMkeZ41q3hjQYsW9s60UydLRlu0SI365J07LbEeN842Zm3fbu+2r7vOeodWrRo6QqD0Vq+2EeL33lt8ZQYpi2Q6HSxcaMXEhxxiCXWDBnt9Wn6+5d6LFtntN98UH6tXW3ljaU9zdrZdIa5d21aXmze3o1kzu61ThwUmIGZ5eVaqMWWKNU+fPbu4d2bbtpY8d+lib7Dr1g0aalz8+KP06qvSY4/ZykB2tnTlldLw4fZHBkhVTzxhI5Jzc620CimNZDpdzJtnRcZ169oq1WGHHfCXyM+3VeWtW21xq+SxbZuVUFSosPtx0EG2H6lWLdubRJkFEEc7d9rK89SplkDPmmW7b8uVs8s6XbrYceKJ9ouYriLN+B9+2FarK1e2ROTGG2P6WwcE16OH1T0uWcIKUxogmU4nM2dai50mTaT33+dFBkg1+fm2MS+y8jxzpr2Tdc7GDXftasdJJ1lNcSb64gvpz3+WXnrJkupbbrGVaso/kCp+/NFWoIYMkR58MHQ0iAOS6XQzZYp09tlWi/X++1YIDSA5FRRY+cKUKXZ88EFxzXPbtsXJc+fO6b3yHIslS6Rbb7WV6nr1pLvvlvr1Y5UPyW/SJKlXL9vn0Llz6GgQByTT6WjmTLuEVLu2JdSNG4eOCIBkLWw++kj/13bnww9tlUqyTXYlk2dqgqPzwQfSDTdYOcxJJ0lPPmk/SyBZ9etnXWvWraM2Mk2QTKerjz+WzjjD2ly8+y4vLkCiRUZ4RhLnWbNss7D3VvPcrp01g4/UPVOWFbuiIms+f/PN9ubk5pul22+3kbJAMikosN/1s86Sxo4NHQ3ihGQ6nc2fL3Xvbrv9//EPm+YCIP68tz6Qn3xSfMydaz0iJeu0E5mm1KmT9Xlm7n38bdhgmxLHjrUymbFjbYIjkCymTbNJZJMmSRdeGDoaxEm0yTTXIVLRMcdYyccZZ0jdulmLqbPOCh0VUHohm4z/8ENx8/bcXJtC9Mkn0vff2+ORKUQ9ehSPIm3VKjV6PKe62rWlF16QeveWrrjC3rTceadtUmRMOZJBTo61wTr99NCRIICgK9POue6SHpaUJWm09/7efT2flek9rF9v40o//VT629+ka68NHREQm0SNv9yxw6YOLV9upRrLltmGt0WLpK+/Ln5epUqWKP/qV8VHu3axTSFCfG3caH/rJk60tqHjx6dH722kLu+lI4+045//DB0N4ijpV6adc1mSHpN0mqTVkuY453K897mhYko5depYm62+fa0Vz5Il0kMPsVKD1DNsmNXGbt9efN+zz9rtI4/s/98XFdl47Y0bbYR1yclFkWPlSrstuYBQtaq9AHbuLLVubQl069bWhpLfo+RUs6b08st2Ze7aa+1K3fjx0qmnho4Mmerzz+2N+Y03ho4EgYQs8zhO0lLv/XJJcs5NkHSeJJLpA1GtmvTmm9JNN9kq3pdfWp/WTO1Vi9h5b/2QCwttpXhvt5GjqKj48H73zw/0vp9+kp5+2gaZlLRtm/TUU9Y6Lj//51OHNm0qnnn//fe7z7ePqFLF2kjWq2fdNJo1s6NpU7tldGdqck7q39/KPXr3tkvrd99tZR+cTyRaTo7dnn122DgQTMhkur6kEtdVtVrSbwLFktqysmxF+uijbYW6Qwfp9dftsjQyQ2Ghlf2sWVOcXEaOjRvtdutWS1Ajoy9LHpH7kk1+vnTXXVbqUa2arSRHjuxs24wWGdMZOerWteS5fn2penWSq3TWurV1OBo4UBo5Uvrvf61UiEEvSKScHOnXv5YaNAgdCQJJ+g2IzrnBkgZLUsOGDQNHk+QGD5batJF69pSOP14aPVq6+OLQUaG0vLeEOFLr+9VX0ooVVrKwZo1t2Fu3bu8rs5IlodnZ1nmiShVLNA47zD6OfB75uGJFe3NWvvwv35YrZx+XK2eJarlyux8Het+OHVb7n5f389grVbL/Tgab4JdUrWplH+3bW0L9xRfSW2/ZgCugrK1bZ33l/+d/QkeCgEIm099IKvnXrsGu+3bjvX9a0tOSbUBMTGgprGNH60DQq5d0ySXS5MnSww+zUpMK8vKsTCc312rwcnOlxYstgY4MAImoVctWQQ4/3FqE1atnHx9+uHU+OPRQO7KzbYd5shs0yGqkS66OV6kiDRhAIo39c85KPI45RurTxxYT/vEP2ueh7L39ti14nHtu6EgQULBuHs658pKWSOomS6LnSLrYe7/ol/4N3TwOQH6+dMcd0r33Si1aFK/cIDmsXWtdWCLHggW2gaWw0B53zjbBHX201Ly5fdy0qd02aZL4tnFlLVHdPJD+PvvMWoVu2iS98oq1MgTKyrnn2uyHFSsoKUtDKTG0xTl3pqS/ylrjPeu9//O+nk8yHYPJk6VLL7U62jvusAliFSqEjiqzbN5so6Znz5bmzLErB2vXFj/etKmtoLVqZUfLltJRR2VmG7aQfaaRPr791jaDzZ9v5W79+4eOCOlo2zbbp3HFFdF1HULKSfrWeJLkvX9H0jshY0h7p5xiq55Dhkh/+IP02mvS88+zObGsFBVZacbs2cVHbm7xqOlWrazzQPv2dhx7rG2Sg6lWza6kAKVRr540fbp0wQVWKrR5s135AOLpvfdszwclHhmP66eZoFYtacIEayF19dW26/j666Xbb2f0cWnt3GnjpadOlT74wDaibNpkj2VnW+1mnz42cvq442wTIICyV62abUS85BJp+HDbxPvHP3IpHvHz+uvWhrZLl9CRILCgZR4HijKPONi40TbqjBljqzcPPmjJHi8w0cnPl+bNk6ZMKU6gI5vmWrWyDaAnnGDHUUcxahoIrbBQuvJK+5t3/fXWRpS/dyitnTutT/1559moe6SllCjzQAA1a1oN4RVX2PSwvn1tk9e999pQC+yuoMCS56lTi5PnrVvtsdat7RLyySfbykStWgEDBbBXWVnSM8/YSvVf/2rJ9cMPk1CjdCZPlrZskS68MHQkSAIk05nq+ONt2MHYsVbuccopNp73jjtsVTVTFRRYd42pU231ecaM4uS5VSupX7/i5LlOnZCRAoiWc7ZoEBlwVVAgPfooV44Qu9deszdop58eOhIkAZLpTJaVZbvcL7pIeuwxW53u2NESxZEj7Y9Eqq7eRNsVoqDAumtMm2bHjBnSDz/YY0cfbZ1Quna1n8lhhyUmdgDx55z0wAPWavH+++2WFWrEoqBAevNNa8FYqVLoaJAESKZhLdhuvNE2Jz7zjL3gdO9uyeTVV9tqbI0aoaOMzv76FUc2DEaS55kzi1eeW7SwNxaR5Pnww8P+twCIL+ds0aCgwFaos7OZXIcDN2OGtZvt2TN0JEgSbEDEz+3cad0/Hn/c+iNXqSKdf77tij/ttOTuUz106M8n6VWsaJPRDj5YmjVL2r7d7m/VypLmLl2kzp1JnoFM4b1N3RwzxjZhDx8eOiKkkiFD7HVmwwamC6e5lBjacqBIpgP45BPp6adtktimTbbJ7uyz7TjttORq9bZpkyXEeXl7f7xNm+JV586dbew2gMxUWGgbsF991TZlDxwYOiKkgqIiqUED23f0+uuho0EZI5lGfO3cKb37rq1Yv/OODUEoX956J594onTSSfZxIjbleS+tW2fDaEoeubnWum5vqla1NwYMBAEQsXOntTaL/G3r3Tt0REh2s2ZJnTpJ48bZ1VqkNZJplJ2CApvs9847Vnc8d25xElu3rpVUHH20jclu2lSqX9+S7Nq1pYMO2vfX3rHDEvXIsW6d9NVXxceKFXYbqXOWbJNhu3b2PR97bO8JdeXK0vr1jKgGsLtt26yT0UcfSX//u9SjR+iIkMyGDbMSyPXrmV6bAegzjbJTvrytRJ90kn2+bZs0Z46t/M6fb8cHH0g//fTzf1u5sh1VqljtdVGRrTTn5Vny/EslGtWqSU2aSI0bW6lGs2ZS27Z2lOzvXFDw85rpKlWsHzSJNIA9Vakivf22/V258EIbEd2pU+iokIyKiqwsqHt3EmnshmQapVelSvFGvgjvbbfzsmXSmjW2UWP9ems7t22bHfn51ufVOdskmJ1tXUNKHrVqWQJds2Z0LaxGjbLbkt08Bgwovh8A9lS9upV6nHiilX3Mni0deWToqJBsZs6UvvnGWisCJVDmgfQUbZ9pAIhYtsw2lmVnW0Jds2boiJBMhgyxhZr16607FNJetGUejH9CeqpWzTYbkkgDiFazZjaMY9Uq6be//eWyM2SewkJp0iQb1EIijT2QTAMAENGpk/TCCzaYY8AAK1kDpk2zDfF9+oSOBEmImmkAAErq00davly69VapeXOmJEKaONFarJ51VuhIkIRIpgEA2NOIEdLSpdJdd1mLz8suCx0RQsnPl157TTrnHNtwD+yBZBoAgD05Jz35pLRypY0eb9RIOvnk0FEhhMmTpY0bKfHAL6JmGgCAvalQwTadNW8u9expQ6OQeV5+WTrkEOsvDewFyTQAAL+kRg2bjFhQIJ1//t6HUSF9bdtmJR49e0qVKoWOBkmKZBoAgH058khpwgRpwQJp4EA6fGSSt96yuQWXXBI6EiQxkmkAAPane3fpnnusqwMT8DLHuHFS/fq7T/gF9kAyDQBANG6+WerdWxo5UvrXv0JHg7L23Xd2nvv2lbKyQkeDJEYyDQBANJyTnn1WatfOEqwvvwwdEcrSq69arfyll4aOBEmOZBoAgGhVrWojx7OybEPijz+GjghlZdw4qXVre/ME7APJNAAAB6JxY6udXrzYhrmwITH9LF8uzZplq9LOhY4GSY5kGgCAA9Wtm3TffdIbb0gPPRQ6GsTb+PF227dv2DiQEkimAQCIxfDh0gUXSLfcIs2YEToaxIv30gsv2MTLRo1CR4MUQDINAEAsIhsSmza1UdNr14aOCPEwY4a0bJnUv3/oSJAiSKYBAIhV9eo2IW/zZisJKCgIHRFK6/nnpYMPli68MHQkSBEk0wAAlEbbttKTT0pTp0q33RY6GpTG1q3SK69YP/GqVUNHgxRBMg0AQGn16ycNHizde6+UkxM6GsRq0iTpp5+kyy8PHQlSCMk0AADx8PDD0q9+ZYn18uWho0EsnntOOvJIqVOn0JEghZBMAwAQD5Uq2cpmuXJSz57Sjh2hI8KBWLZMmj7dVqXpLY0DQDINAEC8NGlibdU+/dRa5yF1PP+8vRHq1y90JEgxJNMAAMTTOedIN90kPfGENGFC6GgQjYICa3N4xhlSgwaho0GKIZkGACDe/vxnqWNHadAgGzuO5Pb229K330pXXhk6EqQgkmkAAOKtQgVp4kSpYkVrs7Z9e+iIsC9PPSXVry+ddVboSJCCSKYBACgLDRpIL74oLVggXXdd6GjwS1askN59Vxo4UCpfPnQ0SEEk0wAAlJUePaSRI6XRo6Vx40JHg70ZPdq6d1xxRehIkKJIpgEAKEt33SV17mz1uJ9/HjoalJSfL40ZI515pnTEEaGjQYoimQYAoCyVLy+9/LKNp+7VyybsITm89Za0di0bD1EqJNMAAJS1evWk8eOl3FxpyJDQ0SDiiSdsRbpHj9CRIIWRTAMAkAinnSbddpsNB3nuudDRIDdX+s9/pGuukbKyQkeDFEYyDQBAotx+u3TKKdK110oLF4aOJrM98oiNgGfjIUqJZBoAgETJyrJyj0MOsfrprVtDR5SZNm2Sxo6VLrlEqlUrdDRIcSTTAAAkUt26tiFxyRLpqqsk70NHlHnGjJG2bZOGDg0dCdIAyTQAAInWtat05522Sj16dOhoMkthofToo1KXLtIxx4SOBmmAZBoAgBBuvdU2JQ4dKs2fHzqazPHWW9LKldLvfx86EqQJkmkAAELIyrKpiDVrWv30Dz+EjigzjBolNWoknXNO6EiQJkimAQAIpU4dq59evlwaPJj66bL24YfS9OnS9dfbMB0gDkimAQAIqXNn6U9/kiZOtCEiKDv33y9lZ9MOD3FFMg0AQGg33yydeaY0bJg0b17oaNLT4sXSm2/aBMpq1UJHgzRCMg0AQGjlykkvvGBlH717S1u2hI4o/fzlL1LFioxzR9yRTAMAkAxq1bJSj1WrpAEDqJ+Op2+/lV580X6udeqEjgZphmQaAIBk0bGjdM890uuv27hrxMdf/yoVFEg33BA6EqQhkmkAAJLJDTdY27Ybb5Q+/jh0NKlvwwbp8cetfKZp09DRIA2RTAMAkEyck55/XqpXzxLATZtCR5TaHnjARofffnvoSJCmSKYBAEg2hx4qvfKK1fpefjn107Fav95Gh/ftK7VsGToapCmSaQAAktFxx1kHipwc6aGHQkeTmv7yF2nHDlalUaZIpgEASFbXXSddcIE0YoQ0e3boaFLLunXSY49JF18sHXVU6GiQxkimAQBIVs5JY8ZIRxxh9dPffRc6otRx//1SXp50222hI0GaI5kGACCZ1aghvfqqdaXo1UvKzw8dUfJbudJWpX/3O6lFi9DRIM2RTAMAkOx+/WvpmWekqVOl4cNDR5P8/vAHW9W/667QkSADlA8dAAAAiMLvfifNny89+KB0zDHSFVeEjig5zZsnjRtndeYNG4aOBhmAlWkAAFLFffdJp58uXXONNHNm6GiSy9at0uLF0rBhNpp9xIjQESFDkEwDAJAqsrKkCROkxo2ty8fXX4eOKLyCAmnoUKlOHenYY6UZM6RWraSqVUNHhgxBMg0AQCrJzpb+/ndp+3bp/PNtul8mGzZMevZZ+3ns2GH3zZlj9wMJQDINAECqadlSGj9e+vRTadCgzJ2QuHWrtQ7c8w3F9u12/9atYeJCRiGZBgAgFZ1zjvSnP0kvvSTdfXfoaML49lsrfdmbrCx7HChjdPMAACBVjRwpff65tYJr0sSm/WWSevWkwsK9P1ZYaI8DZYyVaQAAUpVz0ujRUpcuUv/+tvkuk1SrJp1yys/vr1JFGjjQHgfKGMk0AACprGJF6Y03pKZNpfPOk774InREifPDD9Jnn0mHHipVqmTJc+XK0oAB0qhRoaNDhgiSTDvn7nTOfeOc+++u48wQcQAAkBays6V33pEqVJDOOENavTp0RIkxbJj9t779to1bnzdPWr9eeuQRqTyVrEiMkCvTo7z3x+463gkYBwAAqa9JE+lf/5I2bbKE+vvvQ0dUtnJyrCXeiBHSCSfYqnSLFpR2IOEo8wAAIF20b29J5tKl0tlnSz/9FDqisrFhg7UEPOYY6Y47QkeDDBcymR7inFvgnHvWOZcdMA4AANLHySdLL78sffSRDXWJDDJJF95LV10lbd4svfiidNBBoSNChiuzZNo59x/n3MK9HOdJekJSM0nHSloj6cF9fJ3Bzrm5zrm5GzZsKKtwAQBIHxdcYCUQ779vH+flhY4ofh55RHr9deux3bZt6GgAOR94apJzrrGkt733bfb33A4dOvi5c+eWeUwAAKSFZ56RBg+2AS+TJqX+Ku4HH0hdu0pnnmkdTMpRrYqy45yb573vsL/nhermcXiJT38raWGIOAAASGuDBkmPPiq99ZbUs2dql3ysWSP16iU1biy98AKJNJJGqL4x9zvnjpXkJa2QdGWgOAAASG/XXmvDXa691jYlvvlm6nW8yMuT+vSRtmyR/v1vqUaN0BEB/ydIMu29/12I7wsAQEa65hpLoPv3l04/3XpSp0pCWlQkXXaZTXd86SXqpJF0uEYCAEAm6NdPevVVae5c6cQTpZUrQ0e0f97bYJaJE6X77pP69g0dEfAzJNMAAGSKCy6Q3n3Xpgb+5jfSnDmhI9q3++6T/vY3S6hvuil0NMBekUwDAJBJunaVZs+WKleWunSxLh/J6L77pJEjpYsvlh54wOq+gSREMg0AQKZp2VL68EObINirlzR8uJSfHzoq472NCB8xQrroIum55+jcgaTG/50AAGSiww6Tpk2Thg6VRo2yVeqvvw4bU0GBdPXVtip91VXSuHGp3xsbaY9kGgCATHXQQVaTPHGi9Nln1injuedsdTjR1qyRunWTnnrKyjsef1zKykp8HMABIpkGACDT9e4tffqplX0MGCD16CGtWpW47z9litS+vXUaefFF6e67qZFGyiCZBgAAUvPmltQ+8oiN7T7qKOnWW6Uffii777lpkzRkiHTqqVJ2tvTxx9Kll5bd9wPKAMk0AAAw5cpZcrtokbXRu+cemiO6JgAABuxJREFUqVkz6aGHbPpgvBQUSKNHSy1aSE88YUNl5syRWreO3/cAEoRkGgAA7K5RI2n8eCu7aNdOuuEGqUED26y4cGHsNdXff2+bC5s2lQYNko4+WvrkE1sNT7UR58AuzofYZBCjDh06+Llz54YOAwCAzDJ3riW8EyZIO3faavU559ho8rZtpfr1917jXFgoLVkivfee9O9/S++/L+3YYb2uf/976dxzqY1G0nLOzfPed9jv80imAQBAVNatk954Q8rJkSZPlvLy7P7q1W21uXJlqWJFS6JXrbJJiwUF9pzmzaXu3aXBgy0BB5IcyTQAACg7W7faivWiRXasXGnJdV6e1V4fcYTUsKEl0V27Sk2ahI4YOCDRJtPlExEMAABIM9WqSSefbAeQwdiACAAAAMSIZBoAAACIEck0AAAAECOSaQAAACBGJNMAAABAjEimAQAAgBiRTAMAAAAxIpkGAAAAYkQyDQAAAMSIZBoAAACIEck0AAAAECOSaQAAACBGJNMAAABAjEimAQAAgBiRTAMAAAAxIpkGAAAAYkQyDQAAAMSIZBoAAACIkfPeh44has65DZJWBvjWtSR9F+D7IrE4z5mB85wZOM/pj3OcGUKe50be+9r7e1JKJdOhOOfmeu87hI4DZYvznBk4z5mB85z+OMeZIRXOM2UeAAAAQIxIpgEAAIAYkUxH5+nQASAhOM+ZgfOcGTjP6Y9znBmS/jxTMw0AAADEiJVpAAAAIEYk0yU457o75xY755Y650bs5fGKzrmJux7/yDnXOPFRorSiOM/DnXO5zrkFzrn3nXONQsSJ0tnfeS7xvAudc945l9S7xfFz0Zxj51zvXb/Pi5xzLyU6RpReFH+zGzrnpjjnPt31d/vMEHEids65Z51z651zC3/hceec+9uu/wcWOOd+legY94VkehfnXJakxyT1kNRKUl/nXKs9njZQ0ibvfXNJoyTdl9goUVpRnudPJXXw3reTNEnS/YmNEqUV5XmWc+5gSb+X9FFiI0RpRXOOnXNHShopqZP3vrWk6xMeKEolyt/lP0h6xXvfXtJFkh5PbJSIg+cldd/H4z0kHbnrGCzpiQTEFDWS6WLHSVrqvV/uvd8paYKk8/Z4znmSXtj18SRJ3ZxzLoExovT2e56991O899t2ffqhpAYJjhGlF83vsyT9UfameEcig0NcRHOOB0l6zHu/SZK89+sTHCNKL5rz7CUdsuvj6pK+TWB8iAPv/XRJ3+/jKedJGuvNh5JqOOcOT0x0+0cyXay+pK9LfL561317fY73vkDSFkk1ExId4iWa81zSQEn/LNOIUBb2e553XSY8wnv/j0QGhriJ5ne5haQWzrmZzrkPnXP7WvlCcormPN8p6VLn3GpJ70gampjQkEAH+tqdUOVDBwAkK+fcpZI6SOoSOhbEl3OunKSHJF0eOBSUrfKyy8Iny64wTXfOtfXebw4aFeKtr6TnvfcPOudOkPSic66N974odGDIDKxMF/tG0hElPm+w6769Psc5V152OWljQqJDvERznuWcO1XS/5d0rvc+L0GxIX72d54PltRG0lTn3ApJx0vKYRNiSonmd3m1pBzvfb73/itJS2TJNVJHNOd5oKRXJMl7P1tSJUm1EhIdEiWq1+5QSKaLzZF0pHOuiXPuINkmhpw9npMj6bJdH/eUNNnTqDvV7Pc8O+faS3pKlkhTY5ma9nmevfdbvPe1vPeNvfeNZbXx53rv54YJFzGI5m/2m7JVaTnnasnKPpYnMkiUWjTneZWkbpLknGspS6Y3JDRKlLUcSf12dfU4XtIW7/2a0EFFUOaxi/e+wDk3RNK7krIkPeu9X+Scu0vSXO99jqQxsstHS2WF8heFixixiPI8/0VSNUmv7tpfusp7f26woHHAojzPSGFRnuN3JZ3unMuVVCjpJu89VxNTSJTn+QZJzzjnhsk2I17OQldqcc69LHvjW2tX7fsdkipIkvf+SVkt/JmSlkraJql/mEj3jgmIAAAAQIwo8wAAAABiRDINAAAAxIhkGgAAAIgRyTQAAAAQI5JpAAAAIEYk0wAAAECMSKYBAACAGJFMA0Aacs79P+fcAudcJedcVefcIudcm9BxAUC6YWgLAKQp59yfZKOVK0ta7b2/J3BIAJB2SKYBIE055w6SNEfSDkkdvfeFgUMCgLRDmQcApK+akqpJOli2Qg0AiDNWpgEgTTnnciRNkNRE0uHe+yGBQwKAtFM+dAAAgPhzzvWTlO+9f8k5lyVplnPuFO/95NCxAUA6YWUaAAAAiBE10wAAAECMSKYBAACAGJFMAwAAADEimQYAAABiRDINAAAAxIhkGgAAAIgRyTQAAAAQI5JpAAAAIEb/C91tSSh/vxGPAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "## Plot the original functions\n", "\n", "plt.figure(figsize=(12, 8))\n", "plt.plot(x_plot, y_plot_l, 'b')\n", "plt.plot(x_plot, y_plot_h, 'r')\n", "plt.scatter(x_train_l, y_train_l, color='b', s=40)\n", "plt.scatter(x_train_h, y_train_h, color='r', s=40)\n", "plt.ylabel('f (x)')\n", "plt.xlabel('x')\n", "plt.legend(['Low fidelity', 'High fidelity'])\n", "plt.title('High and low fidelity Forrester functions');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Observe that in the example above we restrict our observations to 12 from the lower fidelity function and only 6 from the high fidelity function.\n", "As we shall demonstrate further below, fitting a standard GP model to the few high fidelity observations is unlikely to result in an acceptable fit, which is why we shall instead consider the linear multi-fidelity model presented in this section.\n", "
\n", "\n", "Below we fit a linear multi-fidelity model to the available low and high fidelity observations.\n", "Given the smoothness of the functions, we opt to use an RBF kernel for both the bias and correlation components of the model." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ ">**Note**: The model implementation defaults to a **MixedNoise** noise likelihood whereby there is independent Gaussian noise for each fidelity.\n", ">\n", ">This can be modified upfront using the 'likelihood' parameter in the model constructor, or by updating them directly after the model has been created.\n", ">In the example below, we choose to fix the noise to '0' for both fidelities in order to reflect that the observations are exact." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization restart 1/5, f = 17.893861272415442\n", "Optimization restart 2/5, f = 17.89386158884618\n", "Optimization restart 3/5, f = 26.353683128586862\n", "Optimization restart 4/5, f = 17.893861447100598\n", "Optimization restart 5/5, f = 17.89386125428574\n" ] } ], "source": [ "## Construct a linear multi-fidelity model\n", "\n", "kernels = [GPy.kern.RBF(1), GPy.kern.RBF(1)]\n", "lin_mf_kernel = emukit.multi_fidelity.kernels.LinearMultiFidelityKernel(kernels)\n", "gpy_lin_mf_model = GPyLinearMultiFidelityModel(X_train, Y_train, lin_mf_kernel, n_fidelities=2)\n", "gpy_lin_mf_model.mixed_noise.Gaussian_noise.fix(0)\n", "gpy_lin_mf_model.mixed_noise.Gaussian_noise_1.fix(0)\n", "\n", "\n", "## Wrap the model using the given 'GPyMultiOutputWrapper'\n", "\n", "lin_mf_model = model = GPyMultiOutputWrapper(gpy_lin_mf_model, 2, n_optimization_restarts=5)\n", "\n", "## Fit the model\n", " \n", "lin_mf_model.optimize()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "## Convert x_plot to its ndarray representation\n", "\n", "X_plot = convert_x_list_to_array([x_plot, x_plot])\n", "X_plot_l = X_plot[:len(x_plot)]\n", "X_plot_h = X_plot[len(x_plot):]\n", "\n", "## Compute mean predictions and associated variance\n", "\n", "lf_mean_lin_mf_model, lf_var_lin_mf_model = lin_mf_model.predict(X_plot_l)\n", "lf_std_lin_mf_model = np.sqrt(lf_var_lin_mf_model)\n", "hf_mean_lin_mf_model, hf_var_lin_mf_model = lin_mf_model.predict(X_plot_h)\n", "hf_std_lin_mf_model = np.sqrt(hf_var_lin_mf_model)\n", "\n", "\n", "## Plot the posterior mean and variance\n", "\n", "plt.figure(figsize=(12, 8))\n", "plt.fill_between(x_plot.flatten(), (lf_mean_lin_mf_model - 1.96*lf_std_lin_mf_model).flatten(), \n", " (lf_mean_lin_mf_model + 1.96*lf_std_lin_mf_model).flatten(), facecolor='g', alpha=0.3)\n", "plt.fill_between(x_plot.flatten(), (hf_mean_lin_mf_model - 1.96*hf_std_lin_mf_model).flatten(), \n", " (hf_mean_lin_mf_model + 1.96*hf_std_lin_mf_model).flatten(), facecolor='y', alpha=0.3)\n", "\n", "plt.plot(x_plot, y_plot_l, 'b')\n", "plt.plot(x_plot, y_plot_h, 'r')\n", "plt.plot(x_plot, lf_mean_lin_mf_model, '--', color='g')\n", "plt.plot(x_plot, hf_mean_lin_mf_model, '--', color='y')\n", "plt.scatter(x_train_l, y_train_l, color='b', s=40)\n", "plt.scatter(x_train_h, y_train_h, color='r', s=40)\n", "plt.ylabel('f (x)')\n", "plt.xlabel('x')\n", "plt.legend(['Low Fidelity', 'High Fidelity', 'Predicted Low Fidelity', 'Predicted High Fidelity'])\n", "plt.title('Linear multi-fidelity model fit to low and high fidelity Forrester function');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The above plot demonstrates how the multi-fidelity model learns the relationship between the low and high-fidelity observations in order to model both of the corresponding functions.\n", "In this example, the posterior mean almost fits the true function exactly, while the associated uncertainty returned by the model is also appropriately small given the good fit." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1.2 Comparison to standard GP" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the absence of such a multi-fidelity model, a regular Gaussian process would have been fit exclusively to the high fidelity data.\n", "As illustrated in the figure below, the resulting Gaussian process posterior yields a much worse fit to the data than that obtained by the multi-fidelity model.\n", "The uncertainty estimates are also poorly calibrated." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization restart 1/5, f = 11.18035236912544\n", "Optimization restart 2/5, f = 11.180352369025673\n", "Optimization restart 3/5, f = 11.180352369163305\n", "Optimization restart 4/5, f = 11.180352374516762\n", "Optimization restart 5/5, f = 11.180352369221604\n" ] } ], "source": [ "## Create standard GP model using only high-fidelity data\n", "\n", "kernel = GPy.kern.RBF(1)\n", "high_gp_model = GPy.models.GPRegression(x_train_h, y_train_h, kernel)\n", "high_gp_model.Gaussian_noise.fix(0)\n", "\n", "## Fit the GP model\n", "\n", "high_gp_model.optimize_restarts(5)\n", "\n", "## Compute mean predictions and associated variance\n", "\n", "hf_mean_high_gp_model, hf_var_high_gp_model = high_gp_model.predict(x_plot)\n", "hf_std_hf_gp_model = np.sqrt(hf_var_high_gp_model)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "## Plot the posterior mean and variance for the high-fidelity GP model\n", "\n", "plt.figure(figsize=(12, 8))\n", "\n", "plt.fill_between(x_plot.flatten(), (hf_mean_lin_mf_model - 1.96*hf_std_lin_mf_model).flatten(), \n", " (hf_mean_lin_mf_model + 1.96*hf_std_lin_mf_model).flatten(), facecolor='y', alpha=0.3)\n", "plt.fill_between(x_plot.flatten(), (hf_mean_high_gp_model - 1.96*hf_std_hf_gp_model).flatten(), \n", " (hf_mean_high_gp_model + 1.96*hf_std_hf_gp_model).flatten(), facecolor='k', alpha=0.1)\n", "\n", "plt.plot(x_plot, y_plot_h, color='r')\n", "plt.plot(x_plot, hf_mean_lin_mf_model, '--', color='y')\n", "plt.plot(x_plot, hf_mean_high_gp_model, 'k--')\n", "plt.scatter(x_train_h, y_train_h, color='r')\n", "plt.xlabel('x')\n", "plt.ylabel('f (x)')\n", "plt.legend(['True Function', 'Linear Multi-fidelity GP', 'High fidelity GP'])\n", "plt.title('Comparison of linear multi-fidelity model and high fidelity GP');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Nonlinear multi-fidelity model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Although the model described above works well when the mapping between the low and high-fidelity functions is linear, several issues may be encountered when this is not the case.\n", "Consider the following example, where the low and high fidelity functions are defined as follows:\n", "\n", "$$\n", "f_{low}(x) = sin(8\\pi x)\n", "$$\n", "\n", "$$\n", "f_{high}(x) = (x - \\sqrt{2}) \\, f_{low}^2\n", "$$" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "## Generate data for nonlinear example\n", "\n", "high_fidelity = emukit.test_functions.non_linear_sin.nonlinear_sin_high\n", "low_fidelity = emukit.test_functions.non_linear_sin.nonlinear_sin_low" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x_plot = np.linspace(0, 1, 200)[:, None]\n", "y_plot_l = low_fidelity(x_plot)\n", "y_plot_h = high_fidelity(x_plot)\n", "\n", "n_low_fidelity_points = 50\n", "n_high_fidelity_points = 14\n", "\n", "x_train_l = np.linspace(0, 1, n_low_fidelity_points)[:, None]\n", "y_train_l = low_fidelity(x_train_l)\n", "\n", "x_train_h = x_train_l[::4, :]\n", "y_train_h = high_fidelity(x_train_h)\n", "\n", "### Convert lists of arrays to ND-arrays augmented with fidelity indicators\n", "\n", "X_train, Y_train = convert_xy_lists_to_arrays([x_train_l, x_train_h], [y_train_l, y_train_h])\n", "\n", "plt.figure(figsize=(12, 8))\n", "plt.plot(x_plot, y_plot_l, 'b')\n", "plt.plot(x_plot, y_plot_h, 'r')\n", "plt.scatter(x_train_l, y_train_l, color='b', s=40)\n", "plt.scatter(x_train_h, y_train_h, color='r', s=40)\n", "plt.xlabel('x')\n", "plt.ylabel('f (x)')\n", "plt.xlim([0, 1])\n", "plt.legend(['Low fidelity', 'High fidelity'])\n", "plt.title('High and low fidelity functions');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this case, the mapping between the two functions is nonlinear, as can be observed by plotting the high fidelity observations as a function of the lower fidelity observations." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12,8))\n", "plt.ylabel('HF(x)')\n", "plt.xlabel('LF(x)')\n", "plt.plot(y_plot_l, y_plot_h, color=colors['purple'])\n", "plt.title('Mapping from low fidelity to high fidelity')\n", "plt.legend(['HF-LF Correlation'], loc='lower center');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.1 Failure of linear multi-fidelity model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below we fit the linear multi-fidelity model to this new problem and plot the results." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization restart 1/5, f = -228.21429286346074\n", "Optimization restart 2/5, f = 63.367104419164036\n", "Optimization restart 3/5, f = -225.45872076462587\n", "Optimization restart 4/5, f = -225.45872366586323\n", "Optimization restart 5/5, f = -228.2142910153024\n" ] } ], "source": [ "## Construct a linear multi-fidelity model\n", "\n", "kernels = [GPy.kern.RBF(1), GPy.kern.RBF(1)]\n", "lin_mf_kernel = emukit.multi_fidelity.kernels.LinearMultiFidelityKernel(kernels)\n", "gpy_lin_mf_model = GPyLinearMultiFidelityModel(X_train, Y_train, lin_mf_kernel, n_fidelities=2)\n", "gpy_lin_mf_model.mixed_noise.Gaussian_noise.fix(0)\n", "gpy_lin_mf_model.mixed_noise.Gaussian_noise_1.fix(0)\n", "\n", "lin_mf_model = model = GPyMultiOutputWrapper(gpy_lin_mf_model, 2, n_optimization_restarts=5)\n", "\n", "## Fit the model\n", " \n", "lin_mf_model.optimize()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "## Convert test points to appropriate representation\n", "\n", "X_plot = convert_x_list_to_array([x_plot, x_plot])\n", "X_plot_low = X_plot[:200]\n", "X_plot_high = X_plot[200:]\n", "\n", "## Compute mean and variance predictions\n", "\n", "hf_mean_lin_mf_model, hf_var_lin_mf_model = lin_mf_model.predict(X_plot_high)\n", "hf_std_lin_mf_model = np.sqrt(hf_var_lin_mf_model)\n", "\n", "\n", "## Compare linear and nonlinear model fits\n", "\n", "plt.figure(figsize=(12,8))\n", "plt.plot(x_plot, y_plot_h, 'r')\n", "plt.plot(x_plot, hf_mean_lin_mf_model, '--', color='y')\n", "plt.scatter(x_train_h, y_train_h, color='r')\n", "plt.fill_between(x_plot.flatten(), (hf_mean_lin_mf_model - 1.96*hf_std_lin_mf_model).flatten(), \n", " (hf_mean_lin_mf_model + 1.96*hf_std_lin_mf_model).flatten(), color='y', alpha=0.3)\n", "plt.xlim(0, 1)\n", "plt.xlabel('x')\n", "plt.ylabel('f (x)')\n", "plt.legend(['True Function', 'Linear multi-fidelity GP'], loc='lower right')\n", "plt.title('Linear multi-fidelity model fit to high fidelity function');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As expected, the linear multi-fidelity model was unable to capture the nonlinear relationship between the low and high-fidelity data.\n", "Consequently, the resulting fit of the true function is also poor." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.2 Nonlinear Multi-fidelity model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In view of the deficiencies of the linear multi-fidelity model, a nonlinear multi-fidelity model is proposed in [[Perdikaris et al, 2017]](#3.-References) in order to better capture these correlations.\n", "This nonlinear model is constructed as follows:\n", "\n", "$$ f_{high}(x) = \\rho( \\, f_{low}(x)) + \\delta(x) $$\n", "\n", "Replacing the linear scaling factor with a non-deterministic function results in a model which can thus capture the nonlinear relationship between the fidelities.\n", "\n", "\n", "This model is implemented in Emukit as **emukit.multi_fidelity.models.NonLinearModel**.\n", "It is defined in a sequential manner where a Gaussian process model is trained for every set of fidelity data available.\n", "Once again, we manually fix the noise parameter for each model to 0.\n", "The parameters of the two Gaussian processes are then optimized sequentially, starting from the low-fidelity." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization restart 1/5, f = -235.71266044458085\n", "Optimization restart 2/5, f = -235.71266414889416\n", "Optimization restart 3/5, f = -235.71266295429072\n", "Optimization restart 4/5, f = -235.7126634036521\n", "Optimization restart 5/5, f = -235.7126623504423\n", "Optimization restart 1/5, f = -22.192288178976664\n", "Optimization restart 2/5, f = -22.028212950770257\n", "Optimization restart 3/5, f = -22.192287985179487\n", "Optimization restart 4/5, f = -22.19228789368189\n", "Optimization restart 5/5, f = -22.192288047789244\n" ] } ], "source": [ "## Create nonlinear model\n", "\n", "from emukit.multi_fidelity.models.non_linear_multi_fidelity_model import make_non_linear_kernels, NonLinearMultiFidelityModel\n", "\n", "base_kernel = GPy.kern.RBF\n", "kernels = make_non_linear_kernels(base_kernel, 2, X_train.shape[1] - 1)\n", "nonlin_mf_model = NonLinearMultiFidelityModel(X_train, Y_train, n_fidelities=2, kernels=kernels, \n", " verbose=True, optimization_restarts=5)\n", "for m in nonlin_mf_model.models:\n", " m.Gaussian_noise.variance.fix(0)\n", " \n", "nonlin_mf_model.optimize()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "## Compute mean and variance predictions\n", "\n", "hf_mean_nonlin_mf_model, hf_var_nonlin_mf_model = nonlin_mf_model.predict(X_plot_high)\n", "hf_std_nonlin_mf_model = np.sqrt(hf_var_nonlin_mf_model)\n", "\n", "lf_mean_nonlin_mf_model, lf_var_nonlin_mf_model = nonlin_mf_model.predict(X_plot_low)\n", "lf_std_nonlin_mf_model = np.sqrt(lf_var_nonlin_mf_model)\n", "\n", "\n", "## Plot posterior mean and variance of nonlinear multi-fidelity model\n", "\n", "plt.figure(figsize=(12,8))\n", "plt.fill_between(x_plot.flatten(), (lf_mean_nonlin_mf_model - 1.96*lf_std_nonlin_mf_model).flatten(), \n", " (lf_mean_nonlin_mf_model + 1.96*lf_std_nonlin_mf_model).flatten(), color='g', alpha=0.3)\n", "plt.fill_between(x_plot.flatten(), (hf_mean_nonlin_mf_model - 1.96*hf_std_nonlin_mf_model).flatten(), \n", " (hf_mean_nonlin_mf_model + 1.96*hf_std_nonlin_mf_model).flatten(), color='y', alpha=0.3)\n", "plt.plot(x_plot, y_plot_l, 'b')\n", "plt.plot(x_plot, y_plot_h, 'r')\n", "plt.plot(x_plot, lf_mean_nonlin_mf_model, '--', color='g')\n", "plt.plot(x_plot, hf_mean_nonlin_mf_model, '--', color='y')\n", "plt.scatter(x_train_h, y_train_h, color='r')\n", "plt.xlabel('x')\n", "plt.ylabel('f (x)')\n", "plt.xlim(0, 1)\n", "plt.legend(['Low Fidelity', 'High Fidelity', 'Predicted Low Fidelity', 'Predicted High Fidelity'])\n", "plt.title('Nonlinear multi-fidelity model fit to low and high fidelity functions');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Fitting the nonlinear fidelity model to the available data very closely fits the high-fidelity function while also fitting the low-fidelity function exactly.\n", "This is a vast improvement over the results obtained using the linear model.\n", "We can also confirm that the model is properly capturing the correlation between the low and high-fidelity observations by plotting the mapping learned by the model to the true mapping shown earlier." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12,8))\n", "plt.ylabel('HF(x)')\n", "plt.xlabel('LF(x)')\n", "plt.plot(y_plot_l, y_plot_h, '-', color=colors['purple'])\n", "plt.plot(lf_mean_nonlin_mf_model, hf_mean_nonlin_mf_model, 'k--')\n", "plt.legend(['True HF-LF Correlation', 'Learned HF-LF Correlation'], loc='lower center')\n", "plt.title('Mapping from low fidelity to high fidelity');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. References" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- Kennedy, M.C. and O'Hagan, A., 2000. *Predicting the output from a complex computer code when fast approximations are available.* Biometrika, 87(1), pp.1-13.\n", "\n", "- Perdikaris, P., Raissi, M., Damianou, A., Lawrence, N.D. and Karniadakis, G.E., 2017. *Nonlinear information fusion algorithms for data-efficient multi-fidelity modelling.* Proc. R. Soc. A, 473(2198), p.20160751." ] } ], "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": "3.6.7" } }, "nbformat": 4, "nbformat_minor": 2 }