{ "cells": [ { "cell_type": "markdown", "id": "17312e14-0ce5-4c09-a767-355b478e6954", "metadata": {}, "source": [ "## Post-merger tail analysis with Bayesian" ] }, { "cell_type": "code", "execution_count": 1, "id": "8606e743-bb21-4b7a-bbc5-b224fc4af0f4", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "import matplotlib\n", "import matplotlib.pyplot as plt\n", "from matplotlib import cm\n", "import matplotlib.patches as mpatches\n", "matplotlib.rcParams['mathtext.fontset'] ='stix'\n", "matplotlib.rcParams['font.family'] = 'STIXGeneral' \n", "matplotlib.rcParams['axes.linewidth'] = 1 #set the value globally\n", "plt.rcParams[\"figure.figsize\"] = (6,6)\n", "plt.rcParams['font.size'] = '18'\n", "plt.rc('text', usetex=True)" ] }, { "cell_type": "code", "execution_count": 2, "id": "eead2395-1a4d-4761-80f0-40e9b8d7f7d7", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "lal.MSUN_SI != Msun\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/tousifislam/miniforge3/envs/kitp-py310/lib/python3.10/site-packages/gwtools/const.py:52: UserWarning: Wswiglal-redir-stdio:\n", "\n", "SWIGLAL standard output/error redirection is enabled in IPython.\n", "This may lead to performance penalties. To disable locally, use:\n", "\n", "with lal.no_swig_redirect_standard_output_error():\n", " ...\n", "\n", "To disable globally, use:\n", "\n", "lal.swig_redirect_standard_output_error(False)\n", "\n", "Note however that this will likely lead to error messages from\n", "LAL functions being either misdirected or lost when called from\n", "Jupyter notebooks.\n", "\n", "To suppress this warning, use:\n", "\n", "import warnings\n", "warnings.filterwarnings(\"ignore\", \"Wswiglal-redir-stdio\")\n", "import lal\n", "\n", " import lal\n" ] } ], "source": [ "import sys\n", "# provide a path for the gwtails package\n", "PATH_TO_GWTAILS = \"/Users/tousifislam/Research/projects/stupid/gwtails/\"\n", "sys.path.append(PATH_TO_GWTAILS)\n", "import gwtails\n", "from gwtails import PostMergerAmplitudeFit" ] }, { "cell_type": "code", "execution_count": 3, "id": "01719a7b-5e75-41a7-901f-21b7afd87cbe", "metadata": {}, "outputs": [], "source": [ "# import data file\n", "# this is for a merging binary with \n", "# mass ratio q=1000, eccentricity e=0.9 and spin a=0.0\n", "file = 'hm02_ecc_p09_e09_a00_q_1000.dat'" ] }, { "cell_type": "code", "execution_count": 4, "id": "d26ca37b-8c4a-4c73-8258-69d19653323a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ ".......... Data read. Shape: (11, 11500)\n", "..... time and strain/psi4 data is loaded\n", "..... waveform mass-scale changed from m1 to M\n", "..... strain/psi4 is cast onto a common time grid\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# pass it too gwtails without doing anything\n", "# we will check the raw data first\n", "rd = PostMergerAmplitudeFit(filename=file)\n", "\n", "# and we are done\n", "rd.plot_interpolated_amplitude()" ] }, { "cell_type": "code", "execution_count": 5, "id": "162021ba-e016-4a61-a562-c98fc794fa04", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ ".......... Data read. Shape: (11, 11500)\n", "..... time and strain/psi4 data is loaded\n", "..... waveform mass-scale changed from m1 to M\n", "..... junk data is removed from the start\n", "..... strain/psi4 is cast onto a common time grid\n", "..... fitting the tails with a decaying power law\n", "..... fitting QNM with the 220 mode\n", "..... fitting oscillatory intermediate part\n" ] } ], "source": [ "# now pass it again to gwtails with fit options\n", "rd = PostMergerAmplitudeFit(filename=file, \n", " throw_junk_until_indx=1100, # initial indices to remove before analyzing post-merger data\n", " qnm_fit_window=[20,70], # time window to fit qnm\n", " tail_fit_window=[200,1000], # time window to fit tails\n", " crossterm_fit_window=[30,400]) # time window to fit the crossterms" ] }, { "cell_type": "code", "execution_count": 6, "id": "75a1c72c-12da-4804-b061-d7d353f8e8bf", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Atail : 3.616772012e+05\n", "c : 2.816224620e+02\n", "n : 3.671228681e+00\n", "Aqnm : 5.773862018\n", "tau : 12.037748089\n", "phi_tail : 7.757546169\n", "omega : 0.752826372\n" ] } ], "source": [ "# print interesting fit params\n", "rd._print_all_fits()" ] }, { "cell_type": "code", "execution_count": 7, "id": "ef31a904-d838-4912-b473-8d821c88011d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "..... Fitting tail data with the function : Atail * (t + ctail)**ptail\n", "..... Using data-driven initial guess\n", ".......... Initial guess: log10_Atail=5.069, ctail=50.000, ptail=-5.000\n", "..... Running MCMC\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|███████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 2000/2000 [00:04<00:00, 495.22it/s]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "..... Bayesian Results:\n", ".......... log10_Atail = 5.645 +/- 0.044\n", ".......... Atail = 4.412e+05 +/- 4.524e+04\n", ".......... ctail = 286.169 +/- 2.651\n", ".......... ptail = -3.698 +/- 0.013\n", ".......... log_likelihood = -4253.15 +/- 1.07\n", "..... Done!\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create fit instance\n", "fitter = gwtails.TailFitMCMC(t=rd.t_interp, # post-merger time\n", " A=abs(rd.h_interp), # post-merger amplitue\n", " t_tail_window=[200, 800], \n", " lsq_params=None, # no initial guess\n", " log_Atail_range=(0, 20), \n", " ctail_range=(0, 2500), \n", " ptail_range=(-15, -1),\n", " fixed_params=None,\n", " percentage_err_in_data=2.5)\n", "\n", "# Perform fitting\n", "samples, percentiles, log_likelihood = fitter.fit(n_walkers=32, n_steps=2000, burn_in=500)\n", "\n", "# quick corner plot\n", "fitter.plot_corner();" ] }, { "cell_type": "code", "execution_count": null, "id": "2779550e-f3d3-4afd-901a-2478cabeeda2", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "422b20b6-560b-4983-8c9c-8c6b4b21ec74", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "kitp-py310", "language": "python", "name": "kitp-py310" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.18" } }, "nbformat": 4, "nbformat_minor": 5 }