{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Quantum_fitter\n", "\n", "This notebook shows you how to use the quantum_fitter. The purpose of quantum_fitter is to provide a uniform, easy-to-use fitting protocol, that everyone can share and extend. \n", "\n", "Quantum_fitter builds on the lmfit package https://lmfit.github.io/lmfit-py/" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To use the quantum_fitter package, you initialize an instance with your x-data, y-data, and the models you want to fit to as well as the initial guesses for parameters:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import quantum_fitter as qf\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we generate some data we can fitt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def gaussian(x, amp, cen, wid):\n", " return (amp / (np.sqrt(2*np.pi) * wid)) * np.exp(-(x-cen)**2 / (2*wid**2))\n", "\n", "# Generate random number from gaussian distribution\n", "x = np.linspace(0, 10, 500)\n", "y = gaussian(x, 8, 5, 0.6) + np.random.randn(500) * 0.5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Chosse model and give initial guess\n", "Then we specify the model we want to use and the initial guess. In this example we use the 'GaussianModel' which is shipped with lmfit." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "params_ini = {'amplitude': 5,\n", " 'center': 5,\n", " 'sigma': 1}\n", "qfit = qf.QFit(x, y,'GaussianModel', params_ini)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### To fit\n", "To perform the actual fit we call do_fit()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "qfit.do_fit()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can inspect the result" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "

Model

Model(gaussian)

Fit Statistics

fitting methodleast_squares
# function evals8
# data points500
# variables3
chi-square 124.614337
reduced chi-square 0.25073307
Akaike info crit.-688.692216
Bayesian info crit.-676.048391

Variables

name value standard error relative error initial value min max vary expression
amplitude 7.94495776 0.12777798 (1.61%) 5 -inf inf True
center 4.97649272 0.01134850 (0.23%) 5 -inf inf True
sigma 0.61108938 0.01134850 (1.86%) 1 -inf inf True
fwhm 1.43900549 0.02672368 (1.86%) 2.35482 -inf inf False 2.3548200*sigma
height 5.18676946 0.08341830 (1.61%) 1.9947115000000002 -inf inf False 0.3989423*amplitude/max(1e-15, sigma)

Correlations (unreported correlations are < 0.100)

amplitudesigma0.5774
" ], "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qfit.result" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally we can plot the result" ] }, { "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": [ "plot_settings = {\n", " 'x_label': 'Time (us)',\n", " 'y_label': 'Voltage (mV)',\n", " 'plot_title': 'datasource',\n", " 'fit_color': 'C4',\n", " 'fig_size': (8, 6)}\n", "qfit.pretty_print()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To print the resulting plot to a pdf, use `pdf_print`:" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "#qfit.pdf_print('qfit.pdf')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Two models on top of each other" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We add a linear term to the gausian data. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "y = y + 0.5*x" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "params_ini = {'intercept': 0,\n", " 'slope': 0.5,\n", " 'amplitude': 5,\n", " 'center': 5,\n", " 'sigma': 1}\n", "qfit = qf.QFit(x, y,['GaussianModel', 'LinearModel'], params_ini)\n", "qfit.do_fit()\n", "qfit.pretty_print()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To get the fit parameters' results, we can use qfit.fit_params, qfit.err_params. The method qfit.fit_values returns the y-data from the fit." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "f_p = qfit.fit_params() # return dictionary with all the fitting parameters \n", "f_e = qfit.err_params('amplitude') # return float of amplitude's fitting stderr\n", "y_fit = qfit.fit_values()" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'amplitude': 5, 'center': 5, 'sigma': 1, 'fwhm': 2.35482, 'height': 1.9947115000000002, 'slope': 0.5, 'intercept': 0}\n" ] }, { "data": { "text/plain": [ "{'amplitude': 5,\n", " 'center': 5,\n", " 'sigma': 1,\n", " 'fwhm': 2.35482,\n", " 'height': 1.9947115000000002,\n", " 'slope': 0.5,\n", " 'intercept': 0}" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qfit.params" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Or we can use our own modification function" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "y2 = gaussian(x, 8, 2, 0.6) + gaussian(x, 5, 7.4, 0.3)+ np.random.randn(500) * 0.5" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "def double_gaussian(x, amp, cen_1, cen_2, wid):\n", " return gaussian(x, amp, cen_1, wid) + gaussian(x, amp,cen_2, wid)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "params_ini = {'amplitude': 5,\n", " 'center': 5,\n", " 'sigma': 1}\n", "qfit = qf.QFit(x, y2,double_gaussian, [5, 5, 6, 1])\n", "qfit.do_fit()\n", "qfit.pretty_print()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### smooth the data\n", "If need to smooth the data beforehand, use `qfit.wash()` to [filter the spikes](https://docs.scipy.org/doc/scipy/reference/signal.html)." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "qfit.wash(method='savgol', window_length=5, polyorder=1)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "qfit.do_fit()\n", "qfit.pretty_print()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Appendix A: The build-in function list\n", "**Peak-like models**, for more models, [tap here](https://lmfit.github.io/lmfit-py/builtin_models.html).\n", "\n", "To obtain the parameters in the models, use ```qf.params('GaussianModel')``` to get.\n", "\n", "[GaussianModel](https://lmfit.github.io/lmfit-py/builtin_models.html#gaussianmodel)\n", "\n", "[LorentzianModel](https://lmfit.github.io/lmfit-py/builtin_models.html#lorentzianmodel)\n", "\n", "[SplitLorentzianModel](https://lmfit.github.io/lmfit-py/builtin_models.html#splitlorentzianmodel)\n", "\n", "[VoigtModel](https://lmfit.github.io/lmfit-py/builtin_models.html#voigtmodel)\n", "\n", "[PseudoVoigtModel](https://lmfit.github.io/lmfit-py/builtin_models.html#pseudovoigtmodel)\n", "\n", "[MoffatModel](https://lmfit.github.io/lmfit-py/builtin_models.html#moffatmodel)\n", "\n", "[Pearson7Model](https://lmfit.github.io/lmfit-py/builtin_models.html#pearson7model)\n", "\n", "[StudentsTModel](https://lmfit.github.io/lmfit-py/builtin_models.html#studentstmodel)\n", "\n", "[BreitWignerModel](https://lmfit.github.io/lmfit-py/builtin_models.html#breitwignermodel)\n", "\n", "[LognormalModel](https://lmfit.github.io/lmfit-py/builtin_models.html#lognormalmodel)\n", "\n", "[DampedOscillatorModel](https://lmfit.github.io/lmfit-py/builtin_models.html#dampedoscillatormodel)\n", "\n", "[DampedHarmonicOscillatorModel](https://lmfit.github.io/lmfit-py/builtin_models.html#dampedharmonicoscillatormodel)\n", "\n", "[ExponentialGaussianModel](https://lmfit.github.io/lmfit-py/builtin_models.html#exponentialgaussianmodel)\n", "\n", "[SkewedGaussianModel](https://lmfit.github.io/lmfit-py/builtin_models.html#skewedgaussianmodel)\n", "\n", "[SkewedVoigtModel](https://lmfit.github.io/lmfit-py/builtin_models.html#skewedvoigtmodel)\n", "\n", "[ThermalDistributionModel](https://lmfit.github.io/lmfit-py/builtin_models.html#thermaldistributionmodel)\n", "\n", "[DoniachModel](https://lmfit.github.io/lmfit-py/builtin_models.html#doniachmodel)\n", "\n" ] } ], "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": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 4 }