{ "cells": [ { "cell_type": "markdown", "id": "84736613", "metadata": {}, "source": [ "# Quantifying the quality of a Fitting" ] }, { "cell_type": "markdown", "id": "dfb0e02c", "metadata": {}, "source": [ "Importing packages" ] }, { "cell_type": "code", "execution_count": 1, "id": "fe29a9a1", "metadata": { "execution": { "iopub.execute_input": "2026-10-22T06:35:06.476898Z", "iopub.status.busy": "2026-10-22T06:35:06.476656Z", "iopub.status.idle": "2026-10-22T06:35:18.666468Z", "shell.execute_reply": "2026-10-22T06:35:18.665265Z" } }, "outputs": [], "source": [ "from eproducer.best_fit import TheoMatchExpe\n", "from PlottingTool import StandardPlotter\n", "from scipy.stats import pearsonr\n", "import numpy as np" ] }, { "cell_type": "markdown", "id": "f04aa0d3", "metadata": {}, "source": [ "## Best fitting of a function as a linear combination of another\n", "\n", "We take two functions, f(x) and g(x) = f(x + 8). We try to automatically find\n", "a coefficient c, such that c * g(x) minimizes the error with respect to f(x)." ] }, { "cell_type": "code", "execution_count": 2, "id": "05eaa7b6", "metadata": { "execution": { "iopub.execute_input": "2026-10-22T06:35:18.669793Z", "iopub.status.busy": "2026-10-22T06:35:18.669551Z", "iopub.status.idle": "2026-10-22T06:35:19.479490Z", "shell.execute_reply": "2026-10-22T06:35:19.478192Z" } }, "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": [ "tme = TheoMatchExpe(['shifted-spectrum2.dat'],\n", " experiment_file='spectrum2.dat')\n", "\n", "sp = StandardPlotter(ax_pref={'xlabel': 'Field [T]',\n", " 'ylabel': 'Intensity [a.u]'},\n", " plot_pref={'pstyle': '-'})\n", "\n", "sp.plot_data(tme.fieldexp, tme.intensexp, pstyle='-', color_plot='black', data_label='Experiment')\n", "sp.plot_data(tme.fieldexp, tme.coeffs[0] * tme.intensities[0], pstyle='--', data_label=\"'expected'\");\n", "#sp.plot_data([limi[0], limi[0]], [0,1], pstyle='--', color_plot='black');\n", "#sp.plot_data([limi[1], limi[1]], [0,1], pstyle='--', color_plot='black');\n", "sp.axis_setter(legend=True)" ] }, { "cell_type": "markdown", "id": "9e7a4595", "metadata": {}, "source": [ "In this case, tme.coeffs[0] is the expected c, and the correlation and error are:" ] }, { "cell_type": "code", "execution_count": 3, "id": "aa2f26c8", "metadata": { "execution": { "iopub.execute_input": "2026-10-22T06:35:19.482699Z", "iopub.status.busy": "2026-10-22T06:35:19.482296Z", "iopub.status.idle": "2026-10-22T06:35:19.487039Z", "shell.execute_reply": "2026-10-22T06:35:19.486366Z" } }, "outputs": [ { "data": { "text/plain": [ "(np.float64(0.10279243360690807), 5.4180832414280315)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tme.corr, tme.error" ] }, { "cell_type": "markdown", "id": "506783bd", "metadata": {}, "source": [ "Now assume that we don't know the value d that maximizes the fit of g(x + d)\n", "to f(x). By definition, it is 8 (in absolute value), but let's find it\n", "automatically." ] }, { "cell_type": "code", "execution_count": 4, "id": "62b3da09", "metadata": { "execution": { "iopub.execute_input": "2026-10-22T06:35:19.488848Z", "iopub.status.busy": "2026-10-22T06:35:19.488740Z", "iopub.status.idle": "2026-10-22T06:35:19.695648Z", "shell.execute_reply": "2026-10-22T06:35:19.694513Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tme = TheoMatchExpe(['shifted-spectrum2.dat'],\n", " experiment_file='spectrum2.dat',\n", " \n", " shifting_width=10)\n", "\n", "sp = StandardPlotter(ax_pref={'xlabel': 'Field [T]',\n", " 'ylabel': 'Intensity [a.u]'}\n", " )\n", "\n", "sp.plot_data(tme.fieldexp, tme.intensexp, pstyle='-', color_plot='black', data_label='Experiment')\n", "sp.plot_data(tme.fieldexp, tme.coeffs[0] * tme.intensities[0], pstyle='--', data_label=\"'expected'\");\n", "sp.axis_setter(legend=True)" ] }, { "cell_type": "markdown", "id": "dbfe75c9", "metadata": {}, "source": [ "We can see that the predicted shift is as expected:" ] }, { "cell_type": "code", "execution_count": 5, "id": "31c64100", "metadata": { "execution": { "iopub.execute_input": "2026-10-22T06:35:19.699587Z", "iopub.status.busy": "2026-10-22T06:35:19.699429Z", "iopub.status.idle": "2026-10-22T06:35:19.703357Z", "shell.execute_reply": "2026-10-22T06:35:19.702555Z" } }, "outputs": [ { "data": { "text/plain": [ "np.float64(-8.000000000000007)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tme.shift" ] }, { "cell_type": "markdown", "id": "a8c02eeb", "metadata": {}, "source": [ "And with this trick, the correlation improved:" ] }, { "cell_type": "code", "execution_count": 6, "id": "257e8f38", "metadata": { "execution": { "iopub.execute_input": "2026-10-22T06:35:19.705722Z", "iopub.status.busy": "2026-10-22T06:35:19.705606Z", "iopub.status.idle": "2026-10-22T06:35:19.708290Z", "shell.execute_reply": "2026-10-22T06:35:19.707806Z" } }, "outputs": [ { "data": { "text/plain": [ "(np.float64(1.0), 1.895521140103284e-15)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tme.corr, tme.error" ] }, { "cell_type": "markdown", "id": "46b35187", "metadata": {}, "source": [ "## Fitting a function that matches only part of another" ] }, { "cell_type": "markdown", "id": "cedb72ef", "metadata": {}, "source": [ "Now let's take a function g(x) which fits another function f(x) only in a range a < x < b. If we fit the whole spectrum, the fit is quite bad:" ] }, { "cell_type": "code", "execution_count": 7, "id": "904790d4", "metadata": { "execution": { "iopub.execute_input": "2026-10-22T06:35:19.709878Z", "iopub.status.busy": "2026-10-22T06:35:19.709770Z", "iopub.status.idle": "2026-10-22T06:35:19.860848Z", "shell.execute_reply": "2026-10-22T06:35:19.859869Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tme = TheoMatchExpe(['spectrum2.dat'],\n", " experiment_file='spectrum1.dat',\n", " \n", " shifting_width=0)\n", "\n", "sp = StandardPlotter(ax_pref={'xlabel': 'Field [T]',\n", " 'ylabel': 'Intensity [a.u]'})\n", "\n", "sp.plot_data(tme.fieldexp, tme.intensexp, pstyle='-', color_plot='black', data_label='Experiment')\n", "sp.plot_data(tme.fieldexp, tme.coeffs[0] * tme.intensities[0], pstyle='--', data_label=\"'expected'\");\n", "sp.axis_setter(legend=True)" ] }, { "cell_type": "markdown", "id": "f907a64f", "metadata": {}, "source": [ "In this case, tme.coeffs[0] is the expected c, and the correlation and error are:" ] }, { "cell_type": "code", "execution_count": 8, "id": "8b8110bc", "metadata": { "execution": { "iopub.execute_input": "2026-10-22T06:35:19.863833Z", "iopub.status.busy": "2026-10-22T06:35:19.863698Z", "iopub.status.idle": "2026-10-22T06:35:19.866957Z", "shell.execute_reply": "2026-10-22T06:35:19.866496Z" } }, "outputs": [ { "data": { "text/plain": [ "(np.float64(0.6826351345562202), 3.5777191120542136)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tme.corr, tme.error" ] }, { "cell_type": "markdown", "id": "dc8fbca4", "metadata": {}, "source": [ "Even using the translation trick, the fit doesn't work so well:" ] }, { "cell_type": "code", "execution_count": 9, "id": "97a17a17", "metadata": { "execution": { "iopub.execute_input": "2026-10-22T06:35:19.869132Z", "iopub.status.busy": "2026-10-22T06:35:19.869004Z", "iopub.status.idle": "2026-10-22T06:35:20.070225Z", "shell.execute_reply": "2026-10-22T06:35:20.069230Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tme = TheoMatchExpe(['spectrum2.dat'],\n", " experiment_file='spectrum1.dat',\n", " \n", " shifting_width=10)\n", "\n", "sp = StandardPlotter(ax_pref={'xlabel': 'Field [T]',\n", " 'ylabel': 'Intensity [a.u]'})\n", "\n", "sp.plot_data(tme.fieldexp, tme.intensexp, pstyle='-', color_plot='black', data_label='Experiment')\n", "sp.plot_data(tme.fieldexp, tme.coeffs[0] * tme.intensities[0], pstyle='--', data_label=\"'expected'\");\n", "sp.axis_setter(legend=True)" ] }, { "cell_type": "markdown", "id": "9f1294d8", "metadata": {}, "source": [ "The correlation improves, but only slightly:" ] }, { "cell_type": "code", "execution_count": 10, "id": "b18a312e", "metadata": { "execution": { "iopub.execute_input": "2026-10-22T06:35:20.073177Z", "iopub.status.busy": "2026-10-22T06:35:20.072889Z", "iopub.status.idle": "2026-10-22T06:35:20.076334Z", "shell.execute_reply": "2026-10-22T06:35:20.075819Z" } }, "outputs": [ { "data": { "text/plain": [ "(np.float64(0.7165595748192071), 3.4061899143036474)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tme.corr, tme.error" ] }, { "cell_type": "code", "execution_count": 11, "id": "07cdada0", "metadata": { "execution": { "iopub.execute_input": "2026-10-22T06:35:20.078887Z", "iopub.status.busy": "2026-10-22T06:35:20.078755Z", "iopub.status.idle": "2026-10-22T06:35:20.267917Z", "shell.execute_reply": "2026-10-22T06:35:20.266918Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "limi = [6404, 6407.5]\n", "\n", "tme = TheoMatchExpe(['spectrum2.dat'],\n", " experiment_file='spectrum1.dat',\n", " fieldrange=limi,\n", " shifting_width=10)\n", "\n", "sp = StandardPlotter(ax_pref={'xlabel': 'Field [T]',\n", " 'ylabel': 'Intensity [a.u]'})\n", "\n", "sp.plot_data(tme.fieldexp, tme.intensexp, pstyle='-', color_plot='black', data_label='Experiment')\n", "sp.plot_data(tme.fieldexp, tme.coeffs[0] * tme.intensities[0], pstyle='--', data_label=\"'expected'\");\n", "sp.plot_data([limi[0], limi[0]], [0,1], pstyle='--', color_plot='gray');\n", "sp.plot_data([limi[1], limi[1]], [0,1], pstyle='--', color_plot='gray');\n", "sp.axis_setter(legend=True)" ] }, { "cell_type": "code", "execution_count": 12, "id": "32fce6f1", "metadata": { "execution": { "iopub.execute_input": "2026-10-22T06:35:20.270968Z", "iopub.status.busy": "2026-10-22T06:35:20.270661Z", "iopub.status.idle": "2026-10-22T06:35:20.274315Z", "shell.execute_reply": "2026-10-22T06:35:20.273602Z" } }, "outputs": [ { "data": { "text/plain": [ "(np.float64(0.7002899241650604), 3.441514309504788e-16)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tme.corr, tme.error" ] }, { "cell_type": "markdown", "id": "fieldrange-note", "metadata": {}, "source": [ "Inside `fieldrange` the fit is now almost perfect: the error is computed with\n", "the experiment set to zero outside that range, so it drops to ~0. The\n", "correlation, in contrast, is computed with the whole experimental spectrum,\n", "which includes the parts that `spectrum2.dat` does not describe." ] }, { "cell_type": "markdown", "id": "20beba28", "metadata": {}, "source": [ "## Why error and correlation?" ] }, { "cell_type": "markdown", "id": "4d05804a", "metadata": {}, "source": [ "In certain applications, we need a quantity that says which function fits\n", "better independent of the scale and the translation in the y axis. Let's see\n", "what happens with the error and the correlation when we compare f(x) vs g(x)\n", "with f(x) vs a * g(x) + b" ] }, { "cell_type": "code", "execution_count": 13, "id": "1f10113e", "metadata": { "execution": { "iopub.execute_input": "2026-10-22T06:35:20.276028Z", "iopub.status.busy": "2026-10-22T06:35:20.275914Z", "iopub.status.idle": "2026-10-22T06:35:20.279315Z", "shell.execute_reply": "2026-10-22T06:35:20.278703Z" } }, "outputs": [], "source": [ "tme = TheoMatchExpe(['shifted-spectrum2.dat'], experiment_file='spectrum2.dat')" ] }, { "cell_type": "code", "execution_count": 14, "id": "bb402edf", "metadata": { "execution": { "iopub.execute_input": "2026-10-22T06:35:20.280490Z", "iopub.status.busy": "2026-10-22T06:35:20.280378Z", "iopub.status.idle": "2026-10-22T06:35:20.283667Z", "shell.execute_reply": "2026-10-22T06:35:20.283036Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "error of f(x) vs g(x): 5.41808\n", "correlation of f(x) vs g(x): 0.10279\n" ] } ], "source": [ "error = np.linalg.norm(tme.intensexp - tme.intensfit)\n", "corr = pearsonr(tme.intensexp, tme.intensfit)[0]\n", "\n", "print(f'error of f(x) vs g(x): {error:0.5f}')\n", "print(f'correlation of f(x) vs g(x): {corr:0.5f}')\n" ] }, { "cell_type": "code", "execution_count": 15, "id": "8ca9b2e8", "metadata": { "execution": { "iopub.execute_input": "2026-10-22T06:35:20.285408Z", "iopub.status.busy": "2026-10-22T06:35:20.285250Z", "iopub.status.idle": "2026-10-22T06:35:20.288705Z", "shell.execute_reply": "2026-10-22T06:35:20.288037Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "error of f(x) vs g(x): 77.76395\n", "correlation of f(x) vs 7*g(x)+4: 0.10279\n" ] } ], "source": [ "error = np.linalg.norm(tme.intensexp - 7 * tme.intensfit + 4)\n", "corr = pearsonr(tme.intensexp, 7 * tme.intensfit + 4)[0]\n", "\n", "print(f'error of f(x) vs g(x): {error:0.5f}')\n", "print(f'correlation of f(x) vs 7*g(x)+4: {corr:0.5f}')" ] }, { "cell_type": "markdown", "id": "9d4f76bc", "metadata": {}, "source": [ "Notice that the correlation does not depend on the scale and translation on the\n", "y axis." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.12.10" } }, "nbformat": 4, "nbformat_minor": 5 }