{ "cells": [ { "cell_type": "markdown", "id": "2fea7052-cd2b-42fd-9083-160ef49b2bf2", "metadata": {}, "source": [ "# Fit with error analysis" ] }, { "cell_type": "code", "execution_count": 1, "id": "e4e1c4f3", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import nexus as nx\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "data = np.loadtxt('..\\hello_nexus\\example_spectrum.txt')\n", "\n", "velocity_experiment = data[:,0]\n", "intensity_experiment = data[:,1]\n", "\n", "site = nx.Hyperfine(magnetic_field = nx.Var(value = 31, min = 25, max = 35, fit = True, id = \"magnetic field\"),\n", " magnetic_theta = nx.Var(value = 0, min = -15, max = 15, fit = True, id = \"magnetic theta\"),\n", " quadrupole = nx.Var(value = 0.3, min = 0, max = 2, fit = True, id = \"quadrupole\"),\n", " isotropic = True)\n", "\n", "mat_Fe = nx.Material.Template(nx.lib.material.Fe)\n", "\n", "mat_Fe.hyperfine_sites = [site]\n", "\n", "layer_Fe = nx.Layer(id = \"Fe\",\n", " material = mat_Fe,\n", " thickness = nx.Var(value = 2900, min = 0, max = 5000, fit = True, id = \"thickness\"))\n", "\n", "sample = nx.Sample(layers = [layer_Fe])\n", "\n", "beam = nx.Beam()\n", "\n", "beam.Unpolarized()\n", "\n", "exp = nx.Experiment(beam = beam,\n", " objects = [sample],\n", " isotope = nx.lib.moessbauer.Fe57)\n", "\n", "spectrum = nx.MoessbauerSpectrum(experiment = exp,\n", " velocity = velocity_experiment,\n", " intensity_data = intensity_experiment,\n", " scaling = \"auto\")\n", "\n", "# calculate the intensity from the assumed model\n", "intensity = spectrum.Calculate()\n", "\n", "spectrum.Plot()" ] }, { "cell_type": "code", "execution_count": 2, "id": "ac55d21d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Run Fit instance with id: \n", "\n", "Starting fit with 1 measurement data set(s) and 6 fit parameter(s):\n", "\n", " no. | id | initial value | min | max\n", " 0 | ES scaling | 2634.1 | 1e-16 | 263410\n", " 1 | ES backgr | 256.611 | 0 | 25661.1\n", " 2 | thickness | 2900 | 0 | 5000\n", " 3 | magnetic field | 31 | 25 | 35\n", " 4 | magnetic theta | 0 | -15 | 15\n", " 5 | quadrupole | 0.3 | 0 | 2\n", "\n", "Using 0 equality constraint(s) on parameter(s):\n", "\n", "Using 0 inequality constraint(s).\n", "\n", "\n", "Calling ceres solver with fit method LevMar\n", "\n", "Ceres Solver Report: Iterations: 43, Initial cost: 4.629873e+02, Final cost: 2.967388e+01, Termination: CONVERGENCE\n", "\n", "Gradient error analysis.\n", "\n", "\n", "Fit performed with algorithm:\n", "LevMar\n", "Error analysis:\n", "Gradient\n", "\n", "Using 6 fit parameter(s):\n", "\n", " no. | id | fit value | +/- std dev | initial value | min | max\n", " 0 | ES scaling | 1700.66 | 306.099 | 2634.1 | 1e-16 | 263410\n", " 1 | ES backgr | 1256.44 | 331.395 | 256.611 | 0 | 25661.1\n", " 2 | thickness | 5000 | 1405.16 | 2900 | 0 | 5000\n", " 3 | magnetic field | 33.0131 | 0.00972019 | 31 | 25 | 35\n", " 4 | magnetic theta | 0 | 0 | 0 | -15 | 15\n", " 5 | quadrupole | -1.49012e-08 | 0.00265477 | 0.3 | 0 | 2\n", "\n", " Values at boundaries:\n", " thickness at UPPER boundary: 5000\n", " quadrupole at LOWER boundary: 0\n", "\n", "Correlation matrix:\n", "\n", " no. | 0 1 2 3 4 5 \n", " -----|------------------------------------------------------\n", " 0 | 1.000 -1.000 -0.998 -0.000 nan -0.000 \n", " 1 | -1.000 1.000 0.999 0.000 nan 0.000 \n", " 2 | -0.998 0.999 1.000 0.000 nan 0.000 \n", " 3 | -0.000 0.000 0.000 1.000 nan 0.000 \n", " 4 | nan nan nan nan nan nan \n", " 5 | -0.000 0.000 0.000 0.000 nan 1.000 \n", "\n", "Found 1 parameters without influence on the fit model:\n", "\n", " no. | id\n", " 4 | magnetic theta\n", "\n", "It is recommended to remove these parameters from the fit or to change the start parameters.\n", "\n", "Using 0 equality constraint(s) on parameter(s):\n", "\n", "and 0 inequality constraint(s).\n", "\n", "Total cost = 2.938e-02\n", "\n", "cost for each FitMeasurement is:\n", "\n", " no. | id | cost | %\n", " 0 | | 2.938e-02 | 100.000\n", "\n", "Fit instance with id \"\" finished.\n", "\n", "-------------------------------------------------------------------------------------------\n", " NEXUS WARNING in Fit\n", " warning: Fit model does not depend on 1 fit parameters.\n", "-------------------------------------------------------------------------------------------\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fit = nx.Fit(measurements = [spectrum])\n", "\n", "fit.options.file_output = False\n", "\n", "fit.Evaluate()\n", "\n", "spectrum.Plot()" ] }, { "cell_type": "code", "execution_count": 3, "id": "65a50fb6", "metadata": {}, "outputs": [], "source": [ "inverseHessian = fit.inverse_hessian\n", "\n", "covariance_matrix = fit.covariance_matrix\n", "\n", "correlation_matrix = fit.correlation_matrix\n", "\n", "errors = np.array(fit.fit_parameter_errors)" ] }, { "cell_type": "code", "execution_count": 4, "id": "a4a3be3d-8e73-426b-a2f8-994b81ef9e58", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 1.00000000e+00 -9.99871493e-01 -9.98462302e-01 -3.68900608e-04\n", " nan -1.73984066e-04]\n", " [-9.99871493e-01 1.00000000e+00 9.99220294e-01 3.73622906e-04\n", " nan 1.79817216e-04]\n", " [-9.98462302e-01 9.99220294e-01 1.00000000e+00 3.84967085e-04\n", " nan 1.93413874e-04]\n", " [-3.68900608e-04 3.73622906e-04 3.84967085e-04 1.00000000e+00\n", " nan 1.93661073e-04]\n", " [ nan nan nan nan\n", " nan nan]\n", " [-1.73984066e-04 1.79817216e-04 1.93413874e-04 1.93661073e-04\n", " nan 1.00000000e+00]]\n", "[[3.06098605e+02]\n", " [3.31395161e+02]\n", " [1.40516221e+03]\n", " [9.72018605e-03]\n", " [0.00000000e+00]\n", " [2.65476559e-03]]\n" ] } ], "source": [ "print(correlation_matrix)\n", "\n", "print(errors)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.11.9" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": {}, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 5 }