{ "cells": [ { "cell_type": "markdown", "id": "365876c3", "metadata": {}, "source": [ "# Mode-Mixing due to PCA\n", "\n", "In this notebook, we give a synopsis of the mode-mixing effect described in [Chen 2025](https://arxiv.org/abs/2504.13070), and how to use `meer21cm` to generate mode-mixing effects that you can apply to your power spectrum modelling." ] }, { "cell_type": "code", "execution_count": 42, "id": "ebedfeb3", "metadata": {}, "outputs": [], "source": [ "from meer21cm import MockSimulation\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from meer21cm.transfer import analytic_transfer_function\n", "from meer21cm.util import redshift_to_freq, pca_clean" ] }, { "cell_type": "markdown", "id": "279009a0", "metadata": {}, "source": [ "Let us first generate some simple HI simulation in a rectangular box to demonstrate this effect. To capture the survey volume more or less, consider a 50 x 50 deg^2 area from z~0.5-1.5:" ] }, { "cell_type": "code", "execution_count": 8, "id": "0a14c3ca", "metadata": {}, "outputs": [], "source": [ "z_min = 0.5\n", "z_max = 1.5\n", "nu_max = redshift_to_freq(z_min)\n", "nu_min = redshift_to_freq(z_max)\n", "nu = np.linspace(nu_min,nu_max,100)\n", "\n", "mock = MockSimulation(\n", " nu=nu,\n", " tracer_bias_1=1.5,\n", " mean_amp_1='average_hi_temp',\n", " omega_hi=5e-4,\n", ")\n", "# roughly 50 deg \n", "box_xy = 50 * np.pi / 180 * mock.comoving_distance(mock.z_ch.mean()).value #Mpc\n", "box_z = (mock.comoving_distance(mock.z_ch.max()) - mock.comoving_distance(mock.z_ch.min())).value #Mpc\n", "mock._box_len = np.array([box_xy,box_xy,box_z])\n", "mock._box_ndim = np.array([100,100,100])\n", "mock.propagate_field_k_to_model()" ] }, { "cell_type": "markdown", "id": "0ef06439", "metadata": {}, "source": [ "`meer21cm` can generate some HI box using lognormal simulations:" ] }, { "cell_type": "code", "execution_count": 10, "id": "1d7ff42c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mock.mock_tracer_field_1;\n", "plt.imshow(mock.mock_tracer_field_1[0])" ] }, { "cell_type": "markdown", "id": "d4e97ce0", "metadata": {}, "source": [ "You can pass the lognormal simulation back to `meer21cm` for power spectrum estimation:" ] }, { "cell_type": "code", "execution_count": 21, "id": "880e582e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'P(k) [K^2 Mpc^3]')" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mock.field_1 = mock.mock_tracer_field_1\n", "mock.k1dbins = np.geomspace(5e-3, 0.2, 21)\n", "pmodel_1d, keff, _ = mock.get_1d_power(mock.auto_power_tracer_1_model)\n", "pmock_1d, _, _ = mock.get_1d_power(mock.auto_power_3d_1)\n", "plt.plot(keff,pmodel_1d,label='model')\n", "plt.plot(keff,pmock_1d,label='mock')\n", "plt.legend()\n", "plt.xscale('log')\n", "plt.yscale('log')\n", "plt.xlabel('k [Mpc-1]')\n", "plt.ylabel('P(k) [K^2 Mpc^3]')" ] }, { "cell_type": "markdown", "id": "f561167d", "metadata": {}, "source": [ "Let us run 100 realisations to retrieve some covariance:" ] }, { "cell_type": "code", "execution_count": 27, "id": "e73305d9", "metadata": {}, "outputs": [], "source": [ "pmock_arr = []\n", "for seed in range(100):\n", " mock.seed = seed\n", " # trigger a reset of cache to rerun mock\n", " mock.tracer_bias_1 = 1.5\n", " mock.field_1 = mock.mock_tracer_field_1\n", " pmock_1d, _, _ = mock.get_1d_power(mock.auto_power_3d_1)\n", " pmock_arr.append(pmock_1d)\n", "\n", "pmock_arr = np.array(pmock_arr)\n", " " ] }, { "cell_type": "code", "execution_count": 33, "id": "585e480b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'P(k) [K^2 Mpc^3]')" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.errorbar(keff,pmock_arr.mean(axis=0),yerr=pmock_arr.std(axis=0),label='mock',)\n", "plt.plot(keff,pmodel_1d,label='model',ls='--',lw=4)\n", "plt.legend()\n", "plt.xscale('log')\n", "plt.yscale('log')\n", "plt.xlabel('k [Mpc-1]')\n", "plt.ylabel('P(k) [K^2 Mpc^3]')" ] }, { "cell_type": "code", "execution_count": 37, "id": "aad3924c", "metadata": {}, "outputs": [], "source": [ "cov_mock = np.cov(pmock_arr.T)\n", "corr_mock = np.corrcoef(pmock_arr.T)" ] }, { "cell_type": "markdown", "id": "41adfa58", "metadata": {}, "source": [ "The correlation between the k-bins is strong at large k. This is a feature of lognormal mocks:" ] }, { "cell_type": "code", "execution_count": 39, "id": "f1a7e7db", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(corr_mock,origin='lower')\n", "plt.colorbar()" ] }, { "cell_type": "markdown", "id": "10014945", "metadata": {}, "source": [ "Now let us do some naive PCA. We will simply at a uniform fg with constant spectral index. To illustrate the effect, let's also remove a large number of modes (15):" ] }, { "cell_type": "code", "execution_count": 76, "id": "c0e435cd", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 76, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fg = 20 * (nu[None,None,:]/408/1e6)**(-2.7) * np.ones(mock.box_ndim)\n", "N_fg = 15\n", "res_map, A_mat = pca_clean(mock.mock_tracer_field_1+fg, N_fg, return_A=True)\n", "plt.imshow(mock.mock_tracer_field_1[0],origin='lower')\n", "plt.colorbar()\n", "plt.figure()\n", "plt.imshow(res_map[0],origin='lower')\n", "plt.colorbar()" ] }, { "cell_type": "markdown", "id": "6e2d2759", "metadata": {}, "source": [ "We can compare the cleaned ps with original:" ] }, { "cell_type": "code", "execution_count": 77, "id": "0b6e53b8", "metadata": {}, "outputs": [], "source": [ "mock.field_1 = mock.mock_tracer_field_1\n", "pmock_orig, keff, _ = mock.get_1d_power(mock.auto_power_3d_1)\n", "mock.field_1 = res_map\n", "pmock_pca, keff, _ = mock.get_1d_power(mock.auto_power_3d_1)" ] }, { "cell_type": "code", "execution_count": 78, "id": "8ac873d4", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'P(k) [K^2 Mpc^3]')" ] }, "execution_count": 78, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(keff,pmock_pca,label='pca',ls='-',lw=2)\n", "plt.plot(keff,pmock_orig,label='original',ls='--',lw=2)\n", "plt.legend()\n", "plt.xscale('log')\n", "plt.yscale('log')\n", "plt.xlabel('k [Mpc-1]')\n", "plt.ylabel('P(k) [K^2 Mpc^3]')" ] }, { "cell_type": "markdown", "id": "1aca0a1d", "metadata": {}, "source": [ "You can see that there is a \"signal loss\" (which is in fact both signal loss and mode-mixing).\n", "\n", "Following the derivation in Chen 2025, `meer21cm` provides a functionality to calculate the window function and convolve it to the model:" ] }, { "cell_type": "code", "execution_count": 79, "id": "f755e2d9", "metadata": {}, "outputs": [], "source": [ "R_pca = np.eye(A_mat.shape[0]) - A_mat @ A_mat.T\n", "tf, wab = analytic_transfer_function(R_pca, R_pca)\n", "hab = np.diag(1/tf) @ wab\n", "pmodel_pca_corrected, keff, _ = mock.get_1d_power(\n", " np.einsum('ij, abj->abi',hab, mock.auto_power_tracer_1_model)\n", ")\n" ] }, { "cell_type": "code", "execution_count": 83, "id": "69978b6e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'P(k) [K^2 Mpc^3]')" ] }, "execution_count": 83, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(keff,pmock_pca,label='pca mock',ls='-',lw=2)\n", "plt.plot(keff,pmodel_1d,label='uncorrected model',ls='--',lw=2)\n", "plt.plot(keff,pmodel_pca_corrected,label='pca corrected model',ls=':',lw=2)\n", "\n", "plt.legend()\n", "plt.xscale('log')\n", "plt.yscale('log')\n", "plt.xlabel('k [Mpc-1]')\n", "plt.ylabel('P(k) [K^2 Mpc^3]')" ] }, { "cell_type": "markdown", "id": "7626bc29", "metadata": {}, "source": [ "Note again, that there is not just a signal loss but also a mode-mixing. Let us rerun the covariance calculation:" ] }, { "cell_type": "code", "execution_count": 81, "id": "0cc4cba2", "metadata": {}, "outputs": [], "source": [ "pmock_pca_arr = []\n", "for seed in range(100):\n", " mock.seed = seed\n", " # trigger a reset of cache to rerun mock\n", " mock.tracer_bias_1 = 1.5\n", " res_map = pca_clean(mock.mock_tracer_field_1 + fg, N_fg)\n", " mock.field_1 = res_map\n", " pmock_1d, _, _ = mock.get_1d_power(mock.auto_power_3d_1)\n", " pmock_pca_arr.append(pmock_1d)\n", "\n", "pmock_pca_arr = np.array(pmock_pca_arr)\n", " " ] }, { "cell_type": "code", "execution_count": 84, "id": "15ccc338", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'P(k) [K^2 Mpc^3]')" ] }, "execution_count": 84, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.errorbar(keff,pmock_pca_arr.mean(axis=0),yerr=pmock_pca_arr.std(axis=0),label='pca mock',ls='-',lw=2)\n", "plt.plot(keff,pmodel_pca_corrected,label='pca corrected model',ls='--',lw=4)\n", "\n", "plt.legend()\n", "plt.xscale('log')\n", "plt.yscale('log')\n", "plt.xlabel('k [Mpc-1]')\n", "plt.ylabel('P(k) [K^2 Mpc^3]')" ] }, { "cell_type": "code", "execution_count": 85, "id": "e5fef7b7", "metadata": {}, "outputs": [], "source": [ "corr_pca_mock = np.corrcoef(pmock_pca_arr.T)" ] }, { "cell_type": "code", "execution_count": 90, "id": "462fe4e3", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'pca mock')" ] }, "execution_count": 90, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig,axes = plt.subplots(1,2,figsize=(10,5))\n", "axes[0].pcolormesh(mock.k1dbins, mock.k1dbins, corr_mock,vmin=-1,vmax=1,cmap='RdBu_r')\n", "axes[0].set_xscale('log')\n", "axes[0].set_yscale('log')\n", "axes[0].set_title('mock')\n", "axes[1].pcolormesh(mock.k1dbins, mock.k1dbins, corr_pca_mock,vmin=-1,vmax=1,cmap='RdBu_r')\n", "axes[1].set_xscale('log')\n", "axes[1].set_yscale('log')\n", "axes[1].set_title('pca mock')" ] }, { "cell_type": "markdown", "id": "18821cf9", "metadata": {}, "source": [ "You can see that there is visible correlation at relatively large scales, induced by PCA." ] } ], "metadata": { "kernelspec": { "display_name": "meer21cm", "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": "3.10.16" } }, "nbformat": 4, "nbformat_minor": 5 }