From febcd27ac8bbf06023d2655473e21de090515eed Mon Sep 17 00:00:00 2001 From: enrdrigo Date: Mon, 19 Feb 2024 14:06:07 +0100 Subject: [PATCH] adding examples and notebook for the bayesian regression --- .idea/.gitignore | 3 + .../inspectionProfiles/profiles_settings.xml | 6 + .idea/misc.xml | 7 + .idea/modules.xml | 8 + .idea/sportran.iml | 15 + .idea/vcs.xml | 6 + examples/06_example_bayesian_regression.ipynb | 613 +++ examples/data/bayesian/CsF/dc_minimal.npy | Bin 0 -> 9600627 bytes .../data/bayesian/mock_data/mock_data_sin.dat | 4001 +++++++++++++++++ sportran/md/bayes.py | 75 +- 10 files changed, 4693 insertions(+), 41 deletions(-) create mode 100644 .idea/.gitignore create mode 100644 .idea/inspectionProfiles/profiles_settings.xml create mode 100644 .idea/misc.xml create mode 100644 .idea/modules.xml create mode 100644 .idea/sportran.iml create mode 100644 .idea/vcs.xml create mode 100644 examples/06_example_bayesian_regression.ipynb create mode 100644 examples/data/bayesian/CsF/dc_minimal.npy create mode 100644 examples/data/bayesian/mock_data/mock_data_sin.dat diff --git a/.idea/.gitignore b/.idea/.gitignore new file mode 100644 index 0000000..26d3352 --- /dev/null +++ b/.idea/.gitignore @@ -0,0 +1,3 @@ +# Default ignored files +/shelf/ +/workspace.xml diff --git a/.idea/inspectionProfiles/profiles_settings.xml b/.idea/inspectionProfiles/profiles_settings.xml new file mode 100644 index 0000000..105ce2d --- /dev/null +++ b/.idea/inspectionProfiles/profiles_settings.xml @@ -0,0 +1,6 @@ + + + + \ No newline at end of file diff --git a/.idea/misc.xml b/.idea/misc.xml new file mode 100644 index 0000000..1bd6ded --- /dev/null +++ b/.idea/misc.xml @@ -0,0 +1,7 @@ + + + + + + \ No newline at end of file diff --git a/.idea/modules.xml b/.idea/modules.xml new file mode 100644 index 0000000..c056e76 --- /dev/null +++ b/.idea/modules.xml @@ -0,0 +1,8 @@ + + + + + + + + \ No newline at end of file diff --git a/.idea/sportran.iml b/.idea/sportran.iml new file mode 100644 index 0000000..4f2c9af --- /dev/null +++ b/.idea/sportran.iml @@ -0,0 +1,15 @@ + + + + + + + + + + + + \ No newline at end of file diff --git a/.idea/vcs.xml b/.idea/vcs.xml new file mode 100644 index 0000000..94a25f7 --- /dev/null +++ b/.idea/vcs.xml @@ -0,0 +1,6 @@ + + + + + + \ No newline at end of file diff --git a/examples/06_example_bayesian_regression.ipynb b/examples/06_example_bayesian_regression.ipynb new file mode 100644 index 0000000..0b3ce58 --- /dev/null +++ b/examples/06_example_bayesian_regression.ipynb @@ -0,0 +1,613 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import sys\n", + "sys.path.append('../../sportran/')\n", + "import sportran as st" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "from scipy.interpolate import CubicSpline\n", + "def model(x, y):\n", + " return CubicSpline(np.concatenate([-x[::-1], x[1:]]), np.concatenate([y[::-1], y[1:]]))" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "dc=np.load('data/bayesian/CsF/dc_minimal.npy', allow_pickle=True).item()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Using multicomponent code.\n" + ] + } + ], + "source": [ + "flux=st.HeatCurrent([(dc['qflux']), (dc['ele_flux'])],\n", + " DT_FS=1,\n", + " TEMPERATURE=dc['Temperature'],\n", + " VOLUME=dc['Volume'],\n", + " UNITS='metal'\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Using multicomponent code.\n", + "-----------------------------------------------------\n", + " RESAMPLE TIME SERIES\n", + "-----------------------------------------------------\n", + " Original Nyquist freq f_Ny = 500.00000 THz\n", + " Resampling freq f* = 20.00000 THz\n", + " Sampling time TSKIP = 25 steps\n", + " = 25.000 fs\n", + " Original n. of frequencies = 100001\n", + " Resampled n. of frequencies = 4001\n", + " min(PSD) (pre-filter&sample) = 0.00000\n", + " min(PSD) (post-filter&sample) = 0.00018\n", + " % of original PSD Power f" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "s=bay.omega[-1]/flux_resample.freqs_THz[-1]\n", + "cubic_mean_spline=bay.model(bay.omega_fixed, bay.parameters_mean)\n", + "cubic_max_spline=bay.model(bay.omega_fixed, bay.parameters_mean+bay.parameters_std)\n", + "cubic_min_spline=bay.model(bay.omega_fixed, bay.parameters_mean-bay.parameters_std)\n", + "f, ax=plt.subplots(figsize=[3,2.5])\n", + "ax.plot(flux_resample.freqs_THz, cubic_mean_spline(bay.omega), color='red', label='Best Bayesian',\n", + " linewidth=3, zorder=1)\n", + "ax.fill_between(flux_resample.freqs_THz, \n", + " cubic_max_spline(bay.omega), cubic_min_spline(bay.omega), color='red', alpha=0.3, zorder=1)\n", + "Nf=5\n", + "ax.plot(flux_resample.freqs_THz, st.md.tools.filter.runavefilter(bay.noisy_data, Nf),\n", + " linewidth=1, color='black', zorder=0,\n", + " label='Window filtered', alpha=0.4)\n", + "ax.set_xlabel(r'$\\omega$ [THz]')\n", + "ax.set_ylabel(r'$\\rho$')\n", + "plt.legend(loc='best', fancybox=True, framealpha=0.0)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "sdata=np.loadtxt('data/bayesian/mock_data/mock_data_sin.dat').T\n", + "\n", + "s_noise=sdata[1, 1:]*np.ones((2,2,(sdata[1,1:]).shape[0]))\n", + "true_s=(np.sin(sdata[0]/2.2 - np.pi/4)*0.98 + np.sin(-sdata[0]/2.2 - np.pi/4)*0.98)/2" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(4001,)" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sdata[1, ].shape" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "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": [ + "plt.plot(sdata[0],sdata[1])\n", + "plt.plot(sdata[0],true_s)" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + " 0%| | 0/2000000 [00:00" + ] + }, + "execution_count": 67, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "s=bay.omega[-1]/sdata[0,-1]\n", + "cubic_mean_spline=bay.model(bay.omega_fixed, bay.parameters_mean)\n", + "cubic_max_spline=bay.model(bay.omega_fixed, bay.parameters_mean+bay.parameters_std)\n", + "cubic_min_spline=bay.model(bay.omega_fixed, bay.parameters_mean-bay.parameters_std)\n", + "f, ax=plt.subplots(figsize=[3,2.5])\n", + "ax.plot(sdata[0][1:], cubic_mean_spline(bay.omega), color='red', label='Bayesian ',\n", + " linewidth=3, zorder=1)\n", + "ax.plot(sdata[0][1:], true_s[1:], color='green', label='True',\n", + " linewidth=2, zorder=1)\n", + "ax.fill_between(sdata[0][1:], \n", + " cubic_max_spline(bay.omega), cubic_min_spline(bay.omega), color='red', alpha=0.3, zorder=1)\n", + "Nf=0\n", + "ax.plot(sdata[0][1:], st.md.tools.filter.runavefilter(bay.noisy_data, Nf),\n", + " linewidth=1, color='black', zorder=0,\n", + " label='Signal', alpha=0.4)\n", + "ax.set_xlabel(r'$\\omega$ [arbitrary units]')\n", + "ax.set_ylabel(r'$\\rho$')\n", + "plt.legend(loc='best', fancybox=True, framealpha=0.0)" + ] + } + ], + "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": "3.8.5" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/examples/data/bayesian/CsF/dc_minimal.npy b/examples/data/bayesian/CsF/dc_minimal.npy new file mode 100644 index 0000000000000000000000000000000000000000..04576462f9ceacf4837592c53128053d0baeca65 GIT binary patch literal 9600627 zcmbq)XHZm8(O7Iu!#j>fjP?HtX_|1+#)Z0%%D9Cxxbwl^n!=RYaP`H=Jf@1pW0GqrWG zv3D0TwR1EVvT?C?wla2fGSnd-<=Bp8TIiX3p;R=2Q;*^!AXDkZ4FcP=tmAJ5Xvn?B~BirbkK~^Kzh4 zS65fvC0_saaRrO?nj+K;a48PDSO868tkc%tOK|_( 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