{ "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 moving from a set of amplitudes to only those that contribute. " ] }, { "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": { "execution": { "iopub.execute_input": "2026-07-11T10:47:45.668329Z", "iopub.status.busy": "2026-07-11T10:47:45.668143Z", "iopub.status.idle": "2026-07-11T10:47:47.602148Z", "shell.execute_reply": "2026-07-11T10:47:47.601701Z" } }, "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.romannet import RomanAmplitude\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", "\n", "cfg_set.set_log_level(\"info\");" ] }, { "cell_type": "code", "execution_count": 2, "id": "6d77f2f0-c925-4a75-b9e2-ba8b1c71c16f", "metadata": { "execution": { "iopub.execute_input": "2026-07-11T10:47:47.603421Z", "iopub.status.busy": "2026-07-11T10:47:47.603312Z", "iopub.status.idle": "2026-07-11T10:47:53.401409Z", "shell.execute_reply": "2026-07-11T10:47:53.400933Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "We reduced the mode content from 3843 modes to 43 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", "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", "# get amplitudes along trajectory\n", "amp = RomanAmplitude()\n", "\n", "# Schwarzschild\n", "a = 0.0\n", "\n", "teuk_modes = amp(a, p, e, x)\n", "\n", "# get ylms\n", "ylm_gen = GetYlms(include_minus_m=False)\n", "ylms = ylm_gen(amp.unique_l, amp.unique_m, theta, phi).copy()[amp.inverse_lm]\n", "\n", "# select modes\n", "\n", "mode_selector = ModeSelector(\n", " amp.l_arr_no_mask, amp.m_arr_no_mask, amp.n_arr_no_mask, force_backend=\"cpu\"\n", ")\n", "\n", "mode_selection_threshold = 1e-1 # tolerance on mode contribution to total power\n", "\n", "modeinds = [amp.l_arr, amp.m_arr, amp.n_arr]\n", "(teuk_modes_in, ylms_in, ls, ms, ns) = mode_selector(\n", " teuk_modes, ylms, modeinds, mode_selection_threshold=mode_selection_threshold\n", ")\n", "\n", "print(\n", " \"We reduced the mode content from {} modes to {} modes.\".format(\n", " teuk_modes.shape[1], teuk_modes_in.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. " ] }, { "cell_type": "code", "execution_count": 3, "id": "27d8205f-7854-47c6-90a3-3e7e1a4ffe2c", "metadata": { "execution": { "iopub.execute_input": "2026-07-11T10:47:53.402570Z", "iopub.status.busy": "2026-07-11T10:47:53.402504Z", "iopub.status.idle": "2026-07-11T10:47:53.598058Z", "shell.execute_reply": "2026-07-11T10:47:53.597634Z" } }, "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 99 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)\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.l_arr_no_mask, amp.m_arr_no_mask, amp.n_arr_no_mask, sensitivity_fn=sens_fn\n", ")\n", "\n", "mode_selection_threshold = 1e-2 # tolerance on mode contribution to total power\n", "\n", "fund_freq_args = (m1, m2, a, p, e, x, t)\n", "\n", "modeinds = [amp.l_arr, amp.m_arr, amp.n_arr]\n", "(teuk_modes_in, ylms_in, ls, ms, ns) = mode_selector_noise_weighted(\n", " teuk_modes, ylms, modeinds, fund_freq_args=fund_freq_args, mode_selection_threshold=mode_selection_threshold\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_in.shape[1]\n", " )\n", ")\n", "# plot histogram of modes\n", "plt.figure()\n", "plt.hist(ns, 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, 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": { "execution": { "iopub.execute_input": "2026-07-11T10:47:53.599145Z", "iopub.status.busy": "2026-07-11T10:47:53.599088Z", "iopub.status.idle": "2026-07-11T10:47:53.803203Z", "shell.execute_reply": "2026-07-11T10:47:53.802788Z" } }, "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: 0.0103254526786829\n", "base modes: 19\n", "noise-weighted modes: 24\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from few.waveform import FastSchwarzschildEccentricFlux\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", " \"buffer_length\": int(1e3), # all of the trajectories will be well under len = 1000\n", "}\n", "\n", "# keyword arguments for inspiral generator (RomanAmplitude)\n", "amplitude_kwargs = {\n", " \"buffer_length\": int(1e3), # all of the trajectories will be well under len = 1000\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 = FastSchwarzschildEccentricFlux(\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 = FastSchwarzschildEccentricFlux(\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": { "execution": { "iopub.execute_input": "2026-07-11T10:47:53.804380Z", "iopub.status.busy": "2026-07-11T10:47:53.804300Z", "iopub.status.idle": "2026-07-11T10:47:53.843041Z", "shell.execute_reply": "2026-07-11T10:47:53.842632Z" } }, "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: 0.0432951822232186\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, 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. " ] }, { "cell_type": "code", "execution_count": 6, "id": "02df5c52-76d9-471f-af8a-2ce49931d32e", "metadata": { "execution": { "iopub.execute_input": "2026-07-11T10:47:53.844168Z", "iopub.status.busy": "2026-07-11T10:47:53.844106Z", "iopub.status.idle": "2026-07-11T10:47:53.905471Z", "shell.execute_reply": "2026-07-11T10:47:53.905121Z" } }, "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": "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 22 wave with + and - m: 0.9986456690865047\n", "mismatch with 22 original wave with adding + and - m 0.0\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, n) for n in range(-30, 31)]\n", "\n", "specific_modes_minus_m = [(2, -2, 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", ")" ] } ], "metadata": { "kernelspec": { "display_name": "few2.0rc1", "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": "3.12.13" } }, "nbformat": 4, "nbformat_minor": 5 }