{ "cells": [ { "cell_type": "markdown", "id": "7e0601ca", "metadata": {}, "source": [ "# Simple Example Showing UQ With PCE\n", "\n", "This example shows some basic functionality of UncertainSCI using the polynomial Chaos emulators (PCE) to quantify uncertainty in a 1D function. It is essentially identical to `demos/build_pce.py` and uses a [1D Laplacian ODE](../models.html) as a model with three parameters" ] }, { "cell_type": "code", "execution_count": 1, "id": "e06c0581", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from matplotlib import pyplot as plt\n", "\n", "from UncertainSCI.distributions import BetaDistribution\n", "from UncertainSCI.model_examples import laplace_ode_1d\n", "from UncertainSCI.pce import PolynomialChaosExpansion\n", "\n", "from UncertainSCI.vis import piechart_sensitivity, quantile_plot, mean_stdev_plot\n" ] }, { "cell_type": "markdown", "id": "db89c596", "metadata": {}, "source": [ "## Model Parameter setup\n", "\n", "The first step in running UncertainSCI is to specify the parameter distributions and the capacity of the PCE model (polynomial order).\n", "\n", "### Distributions" ] }, { "cell_type": "code", "execution_count": 2, "id": "3e7c6ba0", "metadata": {}, "outputs": [], "source": [ "# Number of parameters\n", "Nparams = 3\n", "\n", "# Three independent parameters with different Beta distributions\n", "p1 = BetaDistribution(alpha=0.5, beta=1.)\n", "p2 = BetaDistribution(alpha=1., beta=0.5)\n", "p3 = BetaDistribution(alpha=1., beta=1.)\n", "\n", "plabels = ['a', 'b', 'z']" ] }, { "cell_type": "markdown", "id": "8dd5016b", "metadata": {}, "source": [ "### Polynomial Order\n", "\n", "How complicated the model is" ] }, { "cell_type": "code", "execution_count": 3, "id": "9f0ab690", "metadata": {}, "outputs": [], "source": [ "# # Polynomial order\n", "order = 5" ] }, { "cell_type": "markdown", "id": "a70e4091", "metadata": {}, "source": [ "## Forward Model\n", "\n", "$$\n", "-\\frac{d}{dx} a(x,p) \\cdot \\frac{d}{dx} u(x,p) = f(x)\n", "$$\n", "\n", "with $x$ in $[-1,1]$ discretized with $N$ points, where $a(x,p)$ is a Fourier-Series-parameterized diffusion model with the variables $p_j=[a, b, z]$. See the `laplace_ode_1d` [method](../models.html) or `UncertainSCI/model_examples.py` for details." ] }, { "cell_type": "code", "execution_count": 4, "id": "694c11f5", "metadata": {}, "outputs": [], "source": [ "N = 100\n", "x, model = laplace_ode_1d(Nparams, N=N)" ] }, { "cell_type": "markdown", "id": "73a18a34", "metadata": {}, "source": [ "## Running PCE in UncertainSCI\n", "\n", "The steps to running PCE in UncertainSCI are\n", "- create PCE object\n", "- generate parameter samples\n", "- run parameter sets in the forward model\n", "- give model output to PCE\n", "- compute output statistics\n", "\n", "### Create PCE object and Build Sample Set\n", "\n", "With the parameter distribution created and polynomial order set, we can create the PCE object and generate a parameter set that will efficiently and accurately estimate the output distribution of the model. UncertainSCI adds an extra 10 parameter sets as a precaution. " ] }, { "cell_type": "code", "execution_count": 5, "id": "3b4d49ee", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Precomputing data for Jacobi parameters (alpha,beta) = (-0.500000, 0.000000)...Done\n", "This queries the model 66 times\n" ] } ], "source": [ "\n", "pce = PolynomialChaosExpansion(distribution=[p1, p2, p3], order=order, plabels=plabels)\n", "pce.generate_samples()\n", "\n", "print('This queries the model {0:d} times'.format(pce.samples.shape[0]))" ] }, { "cell_type": "markdown", "id": "3fc2bd76", "metadata": {}, "source": [ "### Run Parameter Sets in the Forward Model\n", "\n", "We query each parameter set in sequence to run in our Laplacian ODE model and collect the results" ] }, { "cell_type": "code", "execution_count": 6, "id": "5d59274f", "metadata": {}, "outputs": [], "source": [ "model_output = np.zeros([pce.samples.shape[0], N])\n", "for ind in range(pce.samples.shape[0]):\n", " model_output[ind, :] = model(pce.samples[ind, :])\n" ] }, { "cell_type": "markdown", "id": "2830c7bf", "metadata": {}, "source": [ "### Build PCE from Model Outputs\n", "\n", "With the collated model solutions, the output distributions can be estimated using PCE" ] }, { "cell_type": "code", "execution_count": 7, "id": "577c137c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([1.75571628e-37, 5.64860235e-17, 2.10743598e-16, 4.30180091e-16,\n", " 6.73615485e-16, 8.98426649e-16, 1.06808811e-15, 1.15833221e-15,\n", " 1.16057868e-15, 1.08209494e-15, 9.43231789e-16, 7.72726181e-16,\n", " 6.02299430e-16, 4.61625174e-16, 3.74362183e-16, 3.55551159e-16,\n", " 4.10403164e-16, 5.34387196e-16, 7.14489737e-16, 9.31478341e-16,\n", " 1.16290358e-15, 1.38643597e-15, 1.58302359e-15, 1.73934375e-15,\n", " 1.84914225e-15, 1.91328322e-15, 1.93860602e-15, 1.93592175e-15,\n", " 1.91761943e-15, 1.89536658e-15, 1.87829599e-15, 1.87191182e-15,\n", " 1.87777401e-15, 1.89387162e-15, 1.91549769e-15, 1.93639635e-15,\n", " 1.94995954e-15, 1.95029022e-15, 1.93300605e-15, 1.89571844e-15,\n", " 1.83817752e-15, 1.76211869e-15, 1.67087823e-15, 1.56886365e-15,\n", " 1.46096875e-15, 1.35201633e-15, 1.24629417e-15, 1.14722754e-15,\n", " 1.05720583e-15, 9.77557484e-16, 9.08648189e-16, 8.50065649e-16,\n", " 8.00849025e-16, 7.59724059e-16, 7.25312441e-16, 6.96294722e-16,\n", " 6.71517851e-16, 6.50048858e-16, 6.31183955e-16, 6.14427000e-16,\n", " 5.99452329e-16, 5.86065283e-16, 5.74169862e-16, 5.63747820e-16,\n", " 5.54848130e-16, 5.47581156e-16, 5.42108762e-16, 5.38620514e-16,\n", " 5.37288102e-16, 5.38194279e-16, 5.41239598e-16, 5.46038218e-16,\n", " 5.51822165e-16, 5.57379403e-16, 5.61052914e-16, 5.60824129e-16,\n", " 5.54493189e-16, 5.39951481e-16, 5.15520386e-16, 4.80308188e-16,\n", " 4.34519740e-16, 3.79646212e-16, 3.18469931e-16, 2.54843985e-16,\n", " 1.93246402e-16, 1.38157999e-16, 9.33612879e-17, 6.12921066e-17,\n", " 4.25845893e-17, 3.59260824e-17, 3.82825975e-17, 4.54770963e-17,\n", " 5.30202417e-17, 5.70278062e-17, 5.50298773e-17, 4.64948566e-17,\n", " 3.29537537e-17, 1.77021507e-17, 5.15427668e-18, 0.00000000e+00])" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pce.build(model_output=model_output)" ] }, { "cell_type": "markdown", "id": "636e536e", "metadata": {}, "source": [ "### Compute Output Statistics\n", "\n", "With the PCE built, statistics can be calculated for each point in the solution space (x)." ] }, { "cell_type": "code", "execution_count": 8, "id": "b9009892", "metadata": {}, "outputs": [], "source": [ "## Postprocess PCE: statistics are computable:\n", "mean = pce.mean()\n", "stdev = pce.stdev()\n", "global_sensitivity, variable_interactions = pce.global_sensitivity()\n", "quantiles = pce.quantile([0.25, 0.5, 0.75]) # 0.25, median, 0.75 quantile" ] }, { "cell_type": "markdown", "id": "d3759efa", "metadata": {}, "source": [ "## Output Visualizations\n", "\n", "To help understand and interpret UQ statistics, we've included some plotting tools for 1D data." ] }, { "cell_type": "code", "execution_count": 9, "id": "09296b66", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mean_stdev_plot(pce, ensemble=50)" ] }, { "cell_type": "code", "execution_count": 10, "id": "13eae6c0", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "quantile_plot(pce, bands=3, xvals=x, xlabel='$x$')" ] }, { "cell_type": "code", "execution_count": 11, "id": "f9367274", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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