{ "cells": [ { "cell_type": "markdown", "id": "36dccb97", "metadata": {}, "source": [ "# Sensor Placement algorithms and the Parameterised Background Data-Weak (PBDW) approach\n", "\n", "This notebook presents some sensor placement algorithms implemented in the *pyforce* library, such as the Empirical Interpolation Method (EIM), the Generalised Empirical Interpolation Method (GEIM) and the SGreedy algorithm. These algorithms are used to select the optimal locations for sensors in order to reconstruct a field of interest from a limited number of measurements. The EIM and GEIM are based on the idea of selecting the most informative points in the domain, while the SGreedy algorithm is based on a greedy approach that iteratively selects the best sensor location based on a given criterion.\n", "\n", "Once sensors are placed, they can be used to predict unknown states from a test set using the EIM, GEIM and the Parameterised Background Data-Weak (PBDW) approach, this latter technique is based on the combination of a reduced model and the observations from sensors and can be considered a general framework for data assimilation and reduced order modelling.\n", "\n", "In this tutorial, you will learn:\n", "\n", "- How to import data from *dolfinx* \n", "- How to use the EIM and GEIM algorithms for sensor placement\n", "- How to use the SGreedy algorithm for sensor placement\n", "- How to use the EIM, GEIM and PBDW approaches for state estimation" ] }, { "cell_type": "markdown", "id": "a6d0a5a7", "metadata": {}, "source": [ "The data for this tutorial comes from a [OFELIA](https://github.com/ERMETE-Lab/MP-OFELIA) tutorial, the ANL11A2 reactor inspired from the benchmark of Argonne National Laboratory [https://www.osti.gov/servlets/purl/12030251/](https://www.osti.gov/servlets/purl/12030251/) in which two-group neutron diffusion is used to model the neutron economy in a portion of a 2D PWR reactor core. The data have been generated using the [dolfinx-v6](https://fenicsproject.org/) package, using solvers implemented within OFELIA. The interested reader can refer to the [OFELIA documentation](https://ermete-lab.github.io/MP-OFELIA/) for more details about the mathematical model and the numerical methods used to solve it." ] }, { "cell_type": "markdown", "id": "b96841bf", "metadata": {}, "source": [ "## Import dolfinx (v6) case from npz files\n", "\n", "The data are parametric with respect to the fast diffusion coefficient in the reflection and the thermal absorption cross section in a rod region. The snaphots of the fast and thermal fluxes are stored in an `npz` file, which can be loaded using `numpy.load`. \n", "\n", "Each variable is stored as a 2D array, where each column represents a snapshot at a given parameter value, and each row represents a spatial point in the domain.\n", "\n", "The code below works for all the variables in the dataset, and it will be chosen just one of them for the sensor placement." ] }, { "cell_type": "code", "execution_count": 1, "id": "e549daf7", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Available variables: ['phi_1', 'phi_2']\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "_data = np.load('Datasets/ANL11A2_dolfinx6/anl11a2.npz', allow_pickle=True)\n", "\n", "var_names = _data.files\n", "print(f\"Available variables: {var_names}\")\n", "\n", "from pyforce.tools.functions_list import FunctionsList\n", "field = var_names[0] # selected field\n", "dataset = FunctionsList(snap_matrix=_data[field])\n", "\n", "import pandas as pd\n", "parameters = np.load('Datasets/ANL11A2_dolfinx6/params_anl11a2.npy', allow_pickle=True)\n", "parameters_key = ['D_1_refl', 'k_eff', 'xs_a_2_rod'] # Column names" ] }, { "cell_type": "markdown", "id": "0c0e28fa", "metadata": {}, "source": [ "The parameters include the fast diffusion coefficient in the reflector, $D_{1,ref}$, the thermal absorption cross section in a rod region, $\\Sigma_{a,2,rod}$, and the associated effective multiplication factor calculation with neutron diffusion theory, $k_{eff}$." ] }, { "cell_type": "code", "execution_count": 2, "id": "5f715f4d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(figsize=(6,4))\n", "\n", "c = axs.tricontourf(\n", " parameters[:, 0], parameters[:, 2], parameters[:, 1], levels=100, cmap=\"plasma\"\n", ")\n", "\n", "axs.set_xlabel(r'$D_{1,ref}$ (cm)')\n", "axs.set_ylabel(r'$\\Sigma_{a,2,rod}$ (cm$^{-1}$)')\n", "axs.set_title(r'$k_{eff}$')\n", "fig.colorbar(c, ax=axs)" ] }, { "cell_type": "markdown", "id": "0c980f23", "metadata": {}, "source": [ "Let us also load the grid from a VTK file." ] }, { "cell_type": "code", "execution_count": 3, "id": "b3d7e852", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
UnstructuredGridInformation
N Cells13380
N Points6869
X Bounds0.000e+00, 1.700e+02
Y Bounds0.000e+00, 1.300e+02
Z Bounds0.000e+00, 0.000e+00
N Arrays0
\n", "\n" ], "text/plain": [ "UnstructuredGrid (0x16c19b940)\n", " N Cells: 13380\n", " N Points: 6869\n", " X Bounds: 0.000e+00, 1.700e+02\n", " Y Bounds: 0.000e+00, 1.300e+02\n", " Z Bounds: 0.000e+00, 0.000e+00\n", " N Arrays: 0" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pyvista as pv\n", "grid = pv.read('Datasets/ANL11A2_dolfinx6/mesh_anl11a2.vtk')\n", "gdim = 2\n", "grid" ] }, { "cell_type": "markdown", "id": "c1dfecae", "metadata": {}, "source": [ "Let us make a plot of the snapshots" ] }, { "cell_type": "code", "execution_count": 4, "id": "eba16a67", "metadata": {}, "outputs": [], "source": [ "# field = 'phi_1'\n", "# dataset[field].plot_sequence(grid, sampling = 20, title=field+' id = ', title_size=15, resolution=[700,600], cmap='jet', varname=field)" ] }, { "cell_type": "markdown", "id": "e3368634", "metadata": {}, "source": [ "Let us split the dataset into a training and a test set" ] }, { "cell_type": "code", "execution_count": 5, "id": "72e32e6d", "metadata": {}, "outputs": [], "source": [ "from pyforce.tools.functions_list import train_test_split\n", "train_params, test_params, train_snaps, test_snaps = train_test_split(\n", " parameters, dataset, test_size=0.33, random_state=42\n", ")" ] }, { "cell_type": "markdown", "id": "cd91a12f", "metadata": {}, "source": [ "## Sensor placement algorithms\n", "In this section, the focus will be on the implementation of sensor placement algorithms: in particular, it will be shown how to place sensors based on some candidate locations (constrained to a portion of the domain)." ] }, { "cell_type": "code", "execution_count": 6, "id": "839b1a08", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'y (cm)')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def is_external(point):\n", " # if np.linalg.norm(point) >= 150:\n", " if np.linalg.norm(point) >= 50 and np.linalg.norm(point) <=140:\n", " return True\n", " return False\n", "\n", "candidate_idx = np.arange(len(grid.points))\n", "candidate_idx = [i for i in candidate_idx if is_external(grid.points[i])]\n", "candidate_points = [np.asarray(grid.points[i]) for i in candidate_idx]\n", "\n", "fig = plt.figure(figsize=(6,4.5))\n", "\n", "mark_size = 2.5\n", "plt.plot(*grid.points.T[:gdim], 'ks', markersize=mark_size, label='Mesh points')\n", "plt.plot([p[0] for p in candidate_points], [p[1] for p in candidate_points], 'bo', markersize=mark_size, label='Candidate points')\n", "\n", "plt.legend()\n", "plt.xlabel('x (cm)')\n", "plt.ylabel('y (cm)')" ] }, { "cell_type": "markdown", "id": "fb70bd4a", "metadata": {}, "source": [ "Sensors in the reactor core are not allowed, so we will place sensors only in the reflector region. The candidate locations are represented by the blue points in the figure above.\n", "\n", "The EIM, the GEIM and the SGreedy algorithms can be used to place sensors in the reflector region and they will be discussed below." ] }, { "cell_type": "code", "execution_count": 7, "id": "2d3f3881", "metadata": {}, "outputs": [], "source": [ "Mmax = 15" ] }, { "cell_type": "markdown", "id": "b36798de", "metadata": {}, "source": [ "### EIM sensor placement\n", "This algorithm has already been presented in the previous tutorial. The sensor selection is based on a greedy approach, aimed at reducing the interpolation error.\n", "\n", "In the previous tutorial, no constraint was imposed on the sensor locations, while here we will use only the candidate locations in the reflector region: the EIM algorithm requires the indices of the candidate locations as input through the `_xm` argument." ] }, { "cell_type": "code", "execution_count": 8, "id": "8c4ce5ca", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Iteration 015 | Abs Err (Linfty): 3.03e-05 - EIM done\n" ] } ], "source": [ "from pyforce.offline.eim import EIM\n", "\n", "eim_offline = EIM(grid, gdim=gdim, varname=field)\n", "train_eim_coeffs = eim_offline.fit(train_snaps=train_snaps, Mmax = Mmax, \n", " _xm_idx = candidate_idx, \n", " verbose=True)[1]" ] }, { "cell_type": "markdown", "id": "771ba086", "metadata": {}, "source": [ "### GEIM sensor placement\n", "As already mentioned in the previous tutorial, the GEIM algorithm is a generalization of the EIM algorithm, which allows to use linear functionals as sensors. \n", "\n", "Similar to the EIM algorithm, the GEIM algorithm can be constrained to use only a subset of candidate locations. This is done by providing the candidate locations through the `xm_list` entry (not indices but the actual points) of the `sensor_params` dictionary." ] }, { "cell_type": "code", "execution_count": 18, "id": "9236ff6f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Creating Gaussian Sensor Library: 100.000 / 100.00% - 0.000832 s/it\n", "GEIM Iteration 15/15 - MaxAbsErr: 3.4007e-03 - MaxRelErr: 6.2898e-05 \r" ] } ], "source": [ "from pyforce.offline.geim import GEIM\n", "\n", "geim_offline = GEIM(grid, gdim=gdim, varname=field, sensors_type='Gaussian')\n", "\n", "sens_params = {\n", " 's': 2, # spread of the Gaussian kernels - hyperparameter to be tuned according to the physical system\n", " 'xm_list': candidate_points[::20], # downsampled candidate points for computational efficiency\n", "}\n", "\n", "train_geim_coeff = geim_offline.fit(train_snaps=train_snaps, Mmax = Mmax, \n", " sensor_params=sens_params, verbose=True)[2]" ] }, { "cell_type": "markdown", "id": "8831f61f", "metadata": {}, "source": [ "### SGreedy sensor placement\n", "The SGreedy algorithm is still considered a greedy approach, generalised to any reduced basis and any linear functional as sensor. In particular, the SGreedy algorithm requires a reduced basis spanning an associated reduced space as input, which can be obtained through a POD of the training snapshots (for instance), then the sensors are selected to maximise the amount of information provided by the sensors spanning an update space of dimension `Mmax`." ] }, { "cell_type": "markdown", "id": "579f4f7d", "metadata": {}, "source": [ "At this purpose, let us perform a randomised SVD of the training snapshots." ] }, { "cell_type": "code", "execution_count": 9, "id": "0ae976cc", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SVD of phi_1 snapshots calculated in 0.071107 seconds (cpu).\n" ] } ], "source": [ "from pyforce.offline.pod import rSVD\n", "\n", "svd_offline = rSVD(grid, gdim=gdim, varname=field)\n", "svd_offline.fit(train_snaps=train_snaps, rank=40, verbose=True)" ] }, { "cell_type": "markdown", "id": "1128e09a", "metadata": {}, "source": [ "Let us plot the singular values" ] }, { "cell_type": "code", "execution_count": 10, "id": "6c466137", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "svd_fig = svd_offline.plot_sing_vals()\n", "axs = svd_fig.get_axes()\n", "for ax in axs:\n", " ax.set_xlim(0,20)" ] }, { "cell_type": "markdown", "id": "6972b084", "metadata": {}, "source": [ "Once the basis is computed, we can use it to perform the SGreedy sensor placement. The initialization of the class is similar to the previous cases." ] }, { "cell_type": "code", "execution_count": 11, "id": "fdd65561", "metadata": {}, "outputs": [], "source": [ "from pyforce.offline.sgreedy import SGREEDY\n", "\n", "sgreedy_placement = SGREEDY(grid, gdim=gdim, varname=field)" ] }, { "cell_type": "markdown", "id": "dcea1547", "metadata": {}, "source": [ "The training of the SGreedy algorithm, through the `fit` method, requires the basis functions spanning the reduced space (using only the first 5 modes), the maximum number of sensors to be placed, and the sensor parameters (similar to the GEIM case)." ] }, { "cell_type": "code", "execution_count": 12, "id": "0b59b5e5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Creating Gaussian Sensor Library: 100.000 / 100.00% - 0.000824 s/it\n", "SGREEDY: m = 14, n = 06 | beta_n,m = 0.164205\r" ] } ], "source": [ "sens_params = {\n", " 's': 2, # spread of the Gaussian kernels - hyperparameter to be tuned according to the physical system\n", " 'xm_list': candidate_points[::20], # downsampled candidate points for computational efficiency\n", "}\n", "\n", "rank_svd = 6\n", "\n", "sgreedy_placement.fit(\n", " basis_functions= svd_offline.svd_modes[:rank_svd],\n", " Mmax = Mmax,\n", " sensor_params=sens_params\n", ")" ] }, { "cell_type": "markdown", "id": "1ff04455", "metadata": {}, "source": [ "### Comparison of the positions\n", "In the following figure we are going to observe the center of mass of each sensor placed by the three algorithms, along with the candidate locations." ] }, { "cell_type": "code", "execution_count": 19, "id": "c805c4e0", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'SGreedy sensor placement')" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(1,3, figsize=(15,4))\n", "\n", "for ax in axs:\n", " ax.plot(grid.points[:,0], grid.points[:,1], 'ko', markersize=3)\n", " ax.set_xlabel('x (cm)')\n", " ax.set_ylabel('y (cm)')\n", "\n", "axs[0].plot([p[0] for p in eim_offline.magic_points['points']],\n", " [p[1] for p in eim_offline.magic_points['points']], 'bs', markersize=5, label='EIM magic points')\n", "axs[1].plot([grid.points[geim_offline.magic_sensors.library(pp).argmax(), 0] for pp in range(len(geim_offline.magic_sensors))],\n", " [grid.points[geim_offline.magic_sensors.library(pp).argmax(), 1] for pp in range(len(geim_offline.magic_sensors))], \n", " 'g^', markersize=5, label='GEIM magic points')\n", "axs[2].plot([p[0] for p in sgreedy_placement.sensor_centers],\n", " [p[1] for p in sgreedy_placement.sensor_centers], 'ro', markersize=5, label='SGreedy sensors')\n", "\n", "axs[0].set_title('EIM sensor placement')\n", "axs[1].set_title('GEIM sensor placement')\n", "axs[2].set_title('SGreedy sensor placement')" ] }, { "cell_type": "markdown", "id": "aebf1526", "metadata": {}, "source": [ "## Online Phase: prediction of unknown states\n", "The EIM and GEIM have already been presented in the previous tutorial, while the output of the SGreedy algorithm can be used for the Parameterised Background Data-Weak (PBDW) approach, which is a state estimation technique based on the combination of a reduced model and the observations from sensors. This method includes any data-driven reduced order model, such as EIM and GEIM, as a special case: this framework is based on the assumption that the true state can be approximated by a linear combination of a reduced basis (the background space) and an update space spanned by the Riesz representers of the sensors.\n", "\n", "In this section, the EIM, GEIM and PBDW approaches will be used to predict unknown states from the test set, using only the sensors placed in the previous section." ] }, { "cell_type": "code", "execution_count": 20, "id": "19b2f35d", "metadata": {}, "outputs": [], "source": [ "noise_std = 0.025" ] }, { "cell_type": "markdown", "id": "b5483fc3", "metadata": {}, "source": [ "### EIM state estimation\n", "The EIM state estimation is based on the interpolation of the unknown state using the sensors placed by the EIM algorithm." ] }, { "cell_type": "code", "execution_count": 21, "id": "af21772a", "metadata": {}, "outputs": [], "source": [ "from pyforce.online.eim import EIM as OnlineEIM\n", "\n", "eim_online = OnlineEIM(grid, gdim=gdim, varname=field)\n", "eim_online.set_basis(eim_offline.magic_functions)\n", "eim_online.set_magic_points(eim_offline.magic_points)\n", "\n", "# Assemble Tikhonov regularization matrix\n", "eim_online.set_tikhonov_matrices(beta_coeffs=train_eim_coeffs)\n", "\n", "# Prediction with EIM\n", "test_eim_measures = eim_online.get_measurements(test_snaps, noise_std=noise_std)\n", "eim_prediction = eim_online.estimate(test_eim_measures, regularization_params={'type': 'tikhonov', 'lambda': noise_std**2})" ] }, { "cell_type": "markdown", "id": "69a0784b", "metadata": {}, "source": [ "### GEIM state estimation\n", "The GEIM state estimation is based on the interpolation of the unknown state using the sensors placed by the GEIM algorithm." ] }, { "cell_type": "code", "execution_count": 22, "id": "be60b2ad", "metadata": {}, "outputs": [], "source": [ "from pyforce.online.geim import GEIM as OnlineGEIM\n", "\n", "geim_online = OnlineGEIM(grid, gdim=gdim, varname=field)\n", "geim_online.set_basis(geim_offline.magic_functions)\n", "geim_online.set_magic_sensors(geim_offline.magic_sensors.library)\n", "\n", "# Assemble Tikhonov regularization matrix\n", "geim_online.set_tikhonov_matrices(beta_coeffs=train_geim_coeff)\n", "\n", "# Prediction with GEIM\n", "test_geim_measures = geim_online.get_measurements(test_snaps, noise_std=noise_std)\n", "geim_prediction = geim_online.estimate(test_geim_measures, regularization_params={'type': 'tikhonov', 'lambda': noise_std**2})" ] }, { "cell_type": "markdown", "id": "88946fc2", "metadata": {}, "source": [ "### PBDW state estimation\n", "The Parameterised-Background Data-Weak (PBDW) approach is a state estimation technique that combines a reduced model with observations from sensors.\n", "This technique can work with a variety of reduced basis and basis sensors, even randomly placed sensors (expecting not optimal results). This class has been implemented in the `PBDW` class within the `pyforce.online.pbdw` module.\n", "\n", "The initialization of the class is similar to the previous cases." ] }, { "cell_type": "code", "execution_count": 23, "id": "a8db6d23", "metadata": {}, "outputs": [], "source": [ "from pyforce.online.pbdw import PBDW\n", "\n", "pbdw_online = PBDW(grid, gdim=gdim, varname=field)" ] }, { "cell_type": "markdown", "id": "e2a5cc4e", "metadata": {}, "source": [ "Similar to GEIM, we have to set the reduced basis and the sensors: in this case, the SVD basis and the SGreedy sensors." ] }, { "cell_type": "code", "execution_count": 24, "id": "fa025f24", "metadata": {}, "outputs": [], "source": [ "pbdw_online.set_basis(svd_offline.svd_modes[:rank_svd])\n", "pbdw_online.set_basis_sensors(sgreedy_placement.sensors.library)" ] }, { "cell_type": "markdown", "id": "5acdd312", "metadata": {}, "source": [ "The state is estimated from the following linear expansion with respect to the reduced basis and the Riesz representers of the sensors:\n", "\n", "$$ \n", "u \\simeq \\sum_{n=1}^N \\alpha_n \\zeta_n + \\sum_{m=1}^M \\theta_m g_m\n", "$$\n", "\n", "where $\\zeta_n$ are the basis functions spanning the reduced space, $g_m$ are the Riesz representers of the sensors, and $\\alpha_n$ and $\\theta_m$ are the coefficients to be determined. These coefficients are the solution of the following linear system:\n", "$$\n", "\\left[ \n", " \\begin{array}{ccc}\n", " \\xi \\cdot M \\cdot \\mathbb{I} + \\mathbb{A} & & \\mathbb{K} \\\\ & & \\\\\n", " \\mathbb{K}^T & & 0\n", " \\end{array}\n", " \\right] \\cdot\n", " \\left[ \n", " \\begin{array}{c}\n", " \\boldsymbol{\\theta} \\\\ \\\\ \\boldsymbol{\\alpha}\n", " \\end{array}\n", " \\right] =\n", " \\left[ \n", " \\begin{array}{c}\n", " \\mathbf{y} \\\\ \\\\ \\mathbf{0}\n", " \\end{array}\n", "\\right]\n", "$$\n", "\n", "where $\\xi$ is a regularization parameter, $M$ is the mass matrix, $\\mathbb{I}$ is the identity matrix, $\\mathbf{y}$ are the measurements from the sensors and the other matrices are defined as follows:\n", "$$\n", "\\begin{split}\n", "\\mathbb{A}_{ij} &= (g_i, g_j)_{L^2} \\qquad i,j = 1, \\ldots, M \\\\\n", "\\mathbb{K}_{ji} &= (\\zeta_i, g_j)_{L^2} \\qquad i = 1, \\ldots, N \\quad j = 1, \\ldots, M\n", "\\end{split}\n", "$$\n", "The matrices can be assembled with the `compute_matrices` method. \n" ] }, { "cell_type": "code", "execution_count": 25, "id": "262d6f0f", "metadata": {}, "outputs": [], "source": [ "pbdw_online.compute_matrices()" ] }, { "cell_type": "markdown", "id": "c988239e", "metadata": {}, "source": [ "Let us now estimate the state using the PBDW approach." ] }, { "cell_type": "code", "execution_count": 26, "id": "c599d769", "metadata": {}, "outputs": [], "source": [ "pbdw_measures = pbdw_online.get_measurements(test_snaps, noise_std=noise_std)\n", "pbdw_prediction = pbdw_online.estimate(pbdw_measures, xi=100)" ] }, { "cell_type": "markdown", "id": "d70aac8a", "metadata": {}, "source": [ "### Comparison of the results\n", "Let us compare the results obtained with the three approaches: EIM, GEIM and PBDW.\n", "\n", "At first let us compare the average relative error over the test set." ] }, { "cell_type": "code", "execution_count": 27, "id": "1c62b597", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Computing errors: 245.000 / 245.00 - 0.004157 s/it\n" ] }, { "data": { "text/plain": [ "Text(0, 0.5, 'Average relative error')" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pyforce.tools.backends import IntegralCalculator, LoopProgress\n", "\n", "errors = {\n", " 'EIM': [],\n", " 'GEIM': [],\n", " 'PBDW': []\n", "}\n", "\n", "calculator = IntegralCalculator(grid, gdim=gdim)\n", "bar = LoopProgress(final=len(test_snaps), msg='Computing errors')\n", "\n", "for mu, snap in enumerate(test_snaps):\n", " _snap_norm = calculator.L2_norm(snap)\n", "\n", " # EIM error\n", " errors['EIM'].append(\n", " calculator.L2_norm(snap - eim_prediction[mu]) / _snap_norm\n", " )\n", "\n", " # GEIM error\n", " errors['GEIM'].append(\n", " calculator.L2_norm(snap - geim_prediction[mu]) / _snap_norm\n", " )\n", "\n", " # PBDW error\n", " errors['PBDW'].append(\n", " calculator.L2_norm(snap - pbdw_prediction[mu]) / _snap_norm\n", " )\n", "\n", " bar.update(1)\n", "\n", "fig, axs = plt.subplots(figsize=(10,4))\n", "axs.bar(errors.keys(), [np.mean(errors[key]) for key in errors.keys()], \n", " color=['blue', 'green', 'red'])\n", "axs.grid(True, which='both', linestyle='--', linewidth=0.5)\n", "axs.set_ylabel('Average relative error')" ] }, { "cell_type": "markdown", "id": "8c078e2b", "metadata": {}, "source": [ "Let us make a contour plot of the estimation with respect to the true solution for a given parameter in the test set." ] }, { "cell_type": "code", "execution_count": 28, "id": "41a3cfe9", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mu_to_plot = 5\n", "cmap = 'managua_r'\n", "levels = np.linspace(0, test_snaps[mu_to_plot].max()*1.1, 100)\n", "\n", "nrows = 2\n", "ncols = 4\n", "\n", "fig, axs = plt.subplots(nrows=nrows, ncols=ncols, figsize=(6 * ncols, 4 * nrows))\n", "\n", "# FOM\n", "c = axs[0,0].tricontourf(grid.points[:,0], grid.points[:,1], test_snaps[mu_to_plot], levels=levels, cmap=cmap)\n", "axs[0,0].set_title('FOM solution')\n", "\n", "# EIM\n", "axs[0,1].tricontourf(grid.points[:,0], grid.points[:,1], eim_prediction[mu_to_plot], levels=levels, cmap=cmap)\n", "axs[0,1].set_title('EIM estimation')\n", "\n", "# GEIM\n", "axs[0,2].tricontourf(grid.points[:,0], grid.points[:,1], geim_prediction[mu_to_plot], levels=levels, cmap=cmap)\n", "axs[0,2].set_title('GEIM estimation')\n", "\n", "# PBDW\n", "axs[0,3].tricontourf(grid.points[:,0], grid.points[:,1], pbdw_prediction[mu_to_plot], levels=levels, cmap=cmap)\n", "axs[0,3].set_title('PBDW estimation')\n", "\n", "for ax in axs[0]:\n", " fig.colorbar(c, ax=ax)\n", "\n", "## Residuals\n", "res_eim = np.abs(test_snaps[mu_to_plot] - eim_prediction[mu_to_plot])\n", "res_geim = np.abs(test_snaps[mu_to_plot] - geim_prediction[mu_to_plot])\n", "res_pbdw = np.abs(test_snaps[mu_to_plot] - pbdw_prediction[mu_to_plot])\n", "levels_res = np.linspace(0, max(res_eim.max(), res_geim.max(), res_pbdw.max()), 30)\n", "cmap_res = 'magma_r'\n", "\n", "# EIM residual\n", "c = axs[1,1].tricontourf(grid.points[:,0], grid.points[:,1], res_eim, levels=levels_res, cmap=cmap_res)\n", "axs[1,1].set_title('EIM residual')\n", "\n", "# GEIM residual\n", "c = axs[1,2].tricontourf(grid.points[:,0], grid.points[:,1], res_geim, levels=levels_res, cmap=cmap_res)\n", "axs[1,2].set_title('GEIM residual')\n", "\n", "# PBDW residual\n", "c = axs[1,3].tricontourf(grid.points[:,0], grid.points[:,1], res_pbdw, levels=levels_res, cmap=cmap_res)\n", "axs[1,3].set_title('PBDW residual')\n", "\n", "axs[1,0].axis('off')\n", "\n", "for ax in axs.flatten():\n", " ax.set_xticks([])\n", " ax.set_yticks([])\n", "\n", "for ax in axs[1,1:]:\n", " fig.colorbar(c, ax=ax)" ] } ], "metadata": { "kernelspec": { "display_name": "pyforce-env", "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": "3.10.18" } }, "nbformat": 4, "nbformat_minor": 5 }