{ "cells": [ { "attachments": {}, "cell_type": "markdown", "id": "ac239cd1-f884-4e1c-9388-4792e14523f7", "metadata": {}, "source": [ "# Mode Selection" ] }, { "attachments": {}, "cell_type": "markdown", "id": "aeabdaec-2798-484a-9082-bbd16b39891d", "metadata": {}, "source": [ "The mode selection module is paramount to the computational efficiency of this model. Below we show how we perform this selection operation by providing a trajectory to the ModeSelector module and obtaining only strongly-contributing modes." ] }, { "attachments": {}, "cell_type": "markdown", "id": "bb073cd3-50c2-48d2-9480-94ee5812c2a3", "metadata": {}, "source": [ "### Mode selection by power contribution" ] }, { "cell_type": "code", "execution_count": 1, "id": "4e745231", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "import few\n", "\n", "from few.trajectory.inspiral import EMRIInspiral\n", "from few.trajectory.ode import SchwarzEccFlux\n", "from few.amplitude.ampinterp2d import AmpInterpSchwarzEcc\n", "from few.utils.ylm import GetYlms\n", "from few.utils.modeselector import ModeSelector\n", "\n", "# tune few configuration\n", "cfg_set = few.get_config_setter(reset=True)\n", "\n", "# Uncomment if you want to force CPU or GPU usage\n", "# Leave commented to let FEW automatically select the best available hardware\n", "# - To force CPU usage:\n", "# cfg_set.enable_backends(\"cpu\")\n", "# - To force GPU usage with CUDA 12.x\n", "# cfg_set.enable_backends(\"cuda12x\", \"cpu\")\n", "# - To force GPU usage with CUDA 11.x\n", "# cfg_set.enable_backends(\"cuda11x\", \"cpu\")\n", "\n", "cfg_set.set_log_level(\"info\");" ] }, { "cell_type": "code", "execution_count": 2, "id": "6d77f2f0-c925-4a75-b9e2-ba8b1c71c16f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "We reduced the mode content from 3843 modes to 59 modes.\n" ] } ], "source": [ "# first, lets get amplitudes for a trajectory\n", "traj = EMRIInspiral(func=SchwarzEccFlux)\n", "\n", "# parameters\n", "m1 = 1e5\n", "m2 = 1e1\n", "a = 0.0 # Schwarzschild\n", "p0 = 10.0\n", "e0 = 0.7\n", "theta = np.pi / 3.0\n", "phi = np.pi / 2.0\n", "\n", "t, p, e, x, Phi_phi, Phi_theta, Phi_r = traj(m1, m2, 0.0, p0, e0, 1.0)\n", "\n", "amp_module = AmpInterpSchwarzEcc()\n", "ylm_gen = GetYlms()\n", "\n", "# select modes\n", "\n", "mode_selector = ModeSelector(\n", " amp_module,\n", " ylm_generator=ylm_gen, # optional, this is the default choice\n", " force_backend=\"cpu\"\n", ")\n", "\n", "mode_selection_threshold = 1e-2 # target mismatch between reduced and full mode content waveforms\n", "\n", "(teuk_modes_r, ylms_r, ls_r, ms_r, ks_r, ns_r) = mode_selector(\n", " t,\n", " a, \n", " p, \n", " e, \n", " x, \n", " theta, \n", " phi, \n", " mode_selection_threshold=mode_selection_threshold # this can also be provided to ModeSelector() on instantiation\n", ")\n", "\n", "(teuk_modes, ylms, ls, ms, ks, ns) = mode_selector(\n", " t,\n", " a, \n", " p, \n", " e, \n", " x, \n", " theta, \n", " phi, \n", " mode_selection = \"all\", # this can also be provided to ModeSelector() on instantiation\n", ")\n", "\n", "print(\n", " \"We reduced the mode content from {} modes to {} modes.\".format(\n", " teuk_modes.shape[1], teuk_modes_r.shape[1]\n", " )\n", ")" ] }, { "attachments": {}, "cell_type": "markdown", "id": "d4c9c705-6ff0-4344-98f5-2df726f5399d", "metadata": {}, "source": [ "### Mode selection by noise-weighted power contribution" ] }, { "cell_type": "markdown", "id": "41673b77", "metadata": {}, "source": [ "Modes can also be weighted by a Power Spectral Density (PSD) function from your favorite sensitivity curve. This ensures that the target mismatch is with respect to the PSD that will be used in (for example) parameter estimation.\n", "\n", "**Note:** FEW assumes that the PSD function is valid over all frequencies, and will evaluate it at particularly high frequencies for the highest-order modes in the model. Ensure that the PSD remains well-behaved at all frequencies (or simply pad high-frequency inputs with a large number to zero-out these contributions) for accurate results." ] }, { "cell_type": "code", "execution_count": 3, "id": "27d8205f-7854-47c6-90a3-3e7e1a4ffe2c", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "(CubicSplineInterpolant) Warning: New t array outside bounds of input t array. These points are filled with edge values.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "We reduced the mode content from 3843 modes to 40 modes when using noise-weighting.\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from few.summation.interpolatedmodesum import CubicSplineInterpolant\n", "from few import get_file_manager\n", "\n", "# produce sensitivity function\n", "noise = np.genfromtxt(get_file_manager().get_file(\"LPA.txt\"), names=True) # LISA PSD\n", "f, PSD = (\n", " np.asarray(noise[\"f\"], dtype=np.float64),\n", " np.asarray(noise[\"ASD\"], dtype=np.float64) ** 2,\n", ")\n", "\n", "sens_fn = CubicSplineInterpolant(f, PSD)\n", "\n", "# select modes with noise weighting\n", "\n", "# provide sensitivity function kwarg\n", "mode_selector_noise_weighted = ModeSelector(\n", " amp_module, \n", " ylm_generator=ylm_gen, # optional, this is the default choice\n", " sensitivity_fn=sens_fn\n", ")\n", "\n", "\n", "# we need the orbital frequencies when noise-weighting\n", "# these can be computed from the trajectory output efficiently\n", "\n", "freqs = traj.inspiral_generator.eval_integrator_derivative_spline(t, order=1)[:,3:6] / 2 / np.pi\n", "\n", "online_mode_selection_args = dict(\n", " f_phi = freqs[:,0],\n", " f_theta = freqs[:,1],\n", " f_r = freqs[:,2],\n", ")\n", "\n", "(teuk_modes_r_nw, ylms_r_nw, ls_r_nw, ms_r_nw, ks_r_nw, ns_r_nw) = mode_selector_noise_weighted(\n", " t,\n", " a, \n", " p, \n", " e, \n", " x, \n", " theta, \n", " phi,\n", " online_mode_selection_args=online_mode_selection_args,\n", " mode_selection_threshold=mode_selection_threshold # this can also be provided to ModeSelector() on instantiation\n", ")\n", "\n", "print(\n", " \"We reduced the mode content from {} modes to {} modes when using noise-weighting.\".format(\n", " teuk_modes.shape[1], teuk_modes_r_nw.shape[1]\n", " )\n", ")\n", "# plot histogram of modes\n", "plt.figure()\n", "plt.hist(ns_r_nw, bins=100, label=\"n\")\n", "plt.xlabel(\"n\")\n", "plt.ylabel(\"Number of radial modes\")\n", "plt.show()\n", "\n", "plt.figure()\n", "plt.hist(ms_r_nw, bins=100, label=\"n\")\n", "plt.xlabel(\"m\")\n", "plt.ylabel(\"Number of azimuthal modes\")\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "id": "29b8ae88-5120-4389-8985-0bfa0e985bdd", "metadata": {}, "source": [ "### Compare the two waves with and without noise-weighting" ] }, { "cell_type": "code", "execution_count": 4, "id": "78787276-fc0b-4bbf-be78-2c8b2570bc4c", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "(CubicSplineInterpolant) Warning: New t array outside bounds of input t array. These points are filled with edge values.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "mismatch: 0.01327964710179741\n", "base modes: 12\n", "noise-weighted modes: 17\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from few.waveform import FastSchwarzschildEccentricFluxBicubic\n", "from few.utils.utility import get_mismatch\n", "\n", "\n", "noise_weighted_mode_selector_kwargs = dict(sensitivity_fn=sens_fn)\n", "\n", "inspiral_kwargs = {\n", " \"DENSE_STEPPING\": 0, # we want a sparsely sampled trajectory\n", "}\n", "\n", "# keyword arguments for inspiral generator (RomanAmplitude)\n", "amplitude_kwargs = {\n", "}\n", "\n", "# keyword arguments for Ylm generator (GetYlms)\n", "Ylm_kwargs = {\n", " \"include_minus_m\": False # if we assume positive m, it will generate negative m for all m>0\n", "}\n", "\n", "# keyword arguments for summation generator (InterpolatedModeSum)\n", "sum_kwargs = {\n", " \"pad_output\": False,\n", "}\n", "\n", "few_base = FastSchwarzschildEccentricFluxBicubic(\n", " inspiral_kwargs=inspiral_kwargs,\n", " amplitude_kwargs=amplitude_kwargs,\n", " Ylm_kwargs=Ylm_kwargs,\n", " sum_kwargs=sum_kwargs,\n", ")\n", "\n", "few_noise_weighted = FastSchwarzschildEccentricFluxBicubic(\n", " inspiral_kwargs=inspiral_kwargs,\n", " amplitude_kwargs=amplitude_kwargs,\n", " Ylm_kwargs=Ylm_kwargs,\n", " sum_kwargs=sum_kwargs,\n", " mode_selector_kwargs=noise_weighted_mode_selector_kwargs,\n", ")\n", "\n", "m1 = 1e6\n", "m2 = 1e1\n", "p0 = 12.0\n", "e0 = 0.3\n", "theta = np.pi / 3.0\n", "phi = np.pi / 4.0\n", "dist = 1.0\n", "dt = 10.0\n", "T = 0.001\n", "\n", "wave_base = few_base(m1, m2, p0, e0, theta, phi, dist=dist, dt=dt, T=T, mode_selection_threshold=1e-2)\n", "wave_weighted = few_noise_weighted(\n", " m1, m2, p0, e0, theta, phi, dist=dist, dt=dt, T=T, mode_selection_threshold=1e-2\n", ")\n", "\n", "plt.plot(wave_base.real, label=\"base\")\n", "plt.plot(wave_weighted.real, ls='--', label=\"noise-weighted\")\n", "plt.legend()\n", "print(\"mismatch:\", get_mismatch(wave_base, wave_weighted))\n", "print(\"base modes:\", few_base.num_modes_kept)\n", "print(\"noise-weighted modes:\", few_noise_weighted.num_modes_kept)" ] }, { "attachments": {}, "cell_type": "markdown", "id": "afb70d37-ea69-480e-873b-dce6168690dc", "metadata": {}, "source": [ "### Specific mode selection" ] }, { "attachments": {}, "cell_type": "markdown", "id": "51cc143c-4e89-4a69-a559-69495862bd1b", "metadata": {}, "source": [ "The user can also select a specific set of modes to use in the waveform." ] }, { "cell_type": "code", "execution_count": 5, "id": "80bef8b1-2012-41da-ae42-8d0348b43d65", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "(ModeSelector) Warning: Mode selection is large. Instantiate class with mode selection rather than providing it at call time for better performance.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "mismatch with full wave: 0.04028675533275328\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# l = 2, m = 2 wave\n", "specific_modes = [(2, 2, 0, n) for n in range(-30, 31)]\n", "\n", "wave_22 = few_base(\n", " m1, m2, p0, e0, theta, phi, dist=dist, dt=dt, T=T, mode_selection=specific_modes\n", ")\n", "\n", "plt.plot(wave_22.real)\n", "\n", "print(\"mismatch with full wave:\", get_mismatch(wave_22, wave_base))" ] }, { "attachments": {}, "cell_type": "markdown", "id": "31e4d556-6fc1-44f8-bebd-7dd7e66f8f12", "metadata": {}, "source": [ "### Turn off $(-m, -k, -n)$ modes" ] }, { "attachments": {}, "cell_type": "markdown", "id": "50c6d486-b640-445f-a267-db5a74aba714", "metadata": {}, "source": [ "By default, symmetry is used to generate $(-m, -k, -n)$ modes from their corresponding $(m, k, n)$ counterparts. To disable this behaviour, provide `False` to the `include_minus_mkn` kwarg. This only affects the waveform when `mode_selection` is a list of specific modes. \n", "\n", "As some checks are performed on `mode_selection` during waveform evaluation, if the same mode content for many waveforms is required, it can be more efficient to provide this list of modes to `mode_selector_kwargs` when instantiating the waveform generator object." ] }, { "cell_type": "code", "execution_count": 6, "id": "02df5c52-76d9-471f-af8a-2ce49931d32e", "metadata": { "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "(ModeSelector) Warning: Mode selection is large. Instantiate class with mode selection rather than providing it at call time for better performance.\n", "(ModeSelector) Warning: Mode selection is large. Instantiate class with mode selection rather than providing it at call time for better performance.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "mismatch with 22 wave with + and - m: 1.9999999999999998\n", "mismatch with 22 original wave with adding + and - m 0.006114405236111287\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "# l = 2, m = 2 wave without m = -2\n", "specific_modes = [(2, 2, 0, n) for n in range(-30, 31)]\n", "\n", "specific_modes_minus_m = [(2, -2, 0, n) for n in range(-30, 31)]\n", "\n", "wave_22_pos_m = few_base(\n", " m1,\n", " m2,\n", " p0,\n", " e0,\n", " theta,\n", " phi,\n", " dist=dist,\n", " dt=dt,\n", " T=0.001,\n", " mode_selection=specific_modes,\n", " include_minus_mkn=False,\n", ")\n", "\n", "wave_22_minus_m = few_base(\n", " m1,\n", " m2,\n", " p0,\n", " e0,\n", " theta,\n", " phi,\n", " dist=dist,\n", " dt=dt,\n", " T=0.001,\n", " mode_selection=specific_modes_minus_m,\n", " include_minus_mkn=False,\n", ")\n", "\n", "plt.plot(wave_22_pos_m.real, label=\"+m\")\n", "plt.plot(wave_22_minus_m.real, label=\"-m\", ls=\"--\")\n", "plt.legend()\n", "print(\n", " \"mismatch with 22 wave with + and - m:\",\n", " get_mismatch(wave_22_minus_m, wave_22_pos_m),\n", ")\n", "\n", "print(\n", " \"mismatch with 22 original wave with adding + and - m\",\n", " get_mismatch(wave_22, wave_22_pos_m + wave_22_minus_m),\n", ")" ] }, { "cell_type": "markdown", "id": "f6fc6683", "metadata": {}, "source": [ "# Get mode selection output from initial conditions\n", "\n", "For convenience, we also provide a method for directly obtaining the mode selection result given a set of initial conditions." ] }, { "cell_type": "code", "execution_count": 7, "id": "9b7a80f7", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "(CubicSplineInterpolant) Warning: New t array outside bounds of input t array. These points are filled with edge values.\n" ] }, { "data": { "text/plain": [ "True" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from few.utils.modeselector import get_selected_modes_from_initial_conditions\n", "\n", "keep_dict = get_selected_modes_from_initial_conditions(\n", " mode_selector_noise_weighted,\n", " traj,\n", " m1,\n", " m2,\n", " a,\n", " p0,\n", " e0,\n", " 1.0,\n", " theta,\n", " phi,\n", " mode_selector_kwargs=dict(mode_selection_threshold=mode_selection_threshold, return_sort_inds=True)\n", ")\n", "\n", "\n", "\n", "# Retained the same modes as the waveform generated above, given same initial conditions?\n", "np.all(keep_dict['ls'].size == few_noise_weighted.ls.size)" ] }, { "cell_type": "markdown", "id": "954e6684", "metadata": {}, "source": [ "The `return_sort_inds` argument also provides a list of sorting indices if SNR-based mode filtering was performed. As we can see below, the `(2,2,0,1)` mode contributes most strongly to this waveform." ] }, { "cell_type": "code", "execution_count": 13, "id": "dc0f61d8", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([2, 2, 2, 2, 3, 3, 3, 2, 3, 4, 4, 3, 2, 4, 2, 3, 3], dtype=int32),\n", " array([2, 2, 2, 2, 3, 3, 3, 2, 3, 4, 4, 3, 2, 4, 2, 3, 3], dtype=int32),\n", " array([ 1, 2, 0, 3, 2, 1, 3, 4, 4, 2, 3, -1, -1, 4, 5, 5, 0],\n", " dtype=int32))" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "keep_dict['ls'][keep_dict['inds_sort']], keep_dict['ms'][keep_dict['inds_sort']], keep_dict['ns'][keep_dict['inds_sort']]" ] } ], "metadata": { "kernelspec": { "display_name": "few-generic", "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": "3.12.11" } }, "nbformat": 4, "nbformat_minor": 5 }