{ "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": [ { "name": "stderr", "output_type": "stream", "text": [ "<>:5: SyntaxWarning: invalid escape sequence '\\h'\n", "<>:5: SyntaxWarning: invalid escape sequence '\\h'\n", "C:\\Users\\lbocklag\\AppData\\Local\\Temp\\ipykernel_8868\\429064733.py:5: SyntaxWarning: invalid escape sequence '\\h'\n", " data = np.loadtxt('..\\hello_nexus\\example_spectrum.txt')\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "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 | 2638.74 | 0 | 263874\n", " 1 | ES backgr | 257.138 | 0 | 25713.8\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: 44, Initial cost: 5.188211e+02, Final cost: 3.247247e+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 | 1682.71 | 284.377 | 2638.74 | 0 | 263874\n", " 1 | ES backgr | 1276.44 | 308.362 | 257.138 | 0 | 25713.8\n", " 2 | thickness | 5000 | 1326.82 | 2900 | 0 | 5000\n", " 3 | magnetic field | 32.9954 | 0.0095092 | 31 | 25 | 35\n", " 4 | magnetic theta | 0 | 0 | 0 | -15 | 15\n", " 5 | quadrupole | 0.000658927 | 0.00259623 | 0.3 | 0 | 2\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 = 3.247e+01\n", "\n", "cost for each FitMeasurement is:\n", "\n", " no. | id | cost | %\n", " 0 | | 3.247e+01 | 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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", "text/plain": [ "
" ] }, "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 -9.99860670e-01 -9.98350734e-01 -3.07861225e-04\n", " nan -1.71305302e-04]\n", " [-9.99860670e-01 1.00000000e+00 9.99166906e-01 3.11283913e-04\n", " nan 1.68425153e-04]\n", " [-9.98350734e-01 9.99166906e-01 1.00000000e+00 3.19409004e-04\n", " nan 1.61287656e-04]\n", " [-3.07861225e-04 3.11283913e-04 3.19409004e-04 1.00000000e+00\n", " nan 2.21537831e-04]\n", " [ nan nan nan nan\n", " nan nan]\n", " [-1.71305302e-04 1.68425153e-04 1.61287656e-04 2.21537831e-04\n", " nan 1.00000000e+00]]\n", "[[2.84377442e+02]\n", " [3.08362357e+02]\n", " [1.32681916e+03]\n", " [9.50919595e-03]\n", " [0.00000000e+00]\n", " [2.59623390e-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": "3.12.0" } }, "nbformat": 4, "nbformat_minor": 5 }