{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Optimal radial basis construction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook provides a discussion, and a practical example of the application, of the construction of a data-driven optimal radial basis to expand the atom-centered neighbor density. \n", "See [REF] for a discussion of the idea and implementation." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from ase.io import read\n", "from copy import deepcopy\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from rascal.representations import SphericalExpansion, SphericalInvariants\n", "from rascal.utils import (get_radial_basis_covariance, get_radial_basis_pca, \n", " get_radial_basis_projections, get_optimal_radial_basis_hypers )\n", "from rascal.utils import radial_basis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Loads the structures" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'/tmp/tmp_cv1an3n'" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import urllib.request\n", "# a collection of distorted ethanol molecules from the ANI-1 dataset \n", "# (see https://github.com/isayev/ANI1_dataset) with energies and forces computed using DFTB+ \n", "# (see https://www.dftbplus.org/)\n", "url = 'https://raw.githubusercontent.com/lab-cosmo/librascal-example-data/833b4336a7daf471e16993158322b3ea807b9d3f/inputs/molecule_conformers_dftb.xyz'\n", "# Download the file from `url`, save it in a temporary directory and get the\n", "# path to it (e.g. '/tmp/tmpb48zma.txt') in the `structures_fn` variable:\n", "structures_fn, headers = urllib.request.urlretrieve(url)\n", "structures_fn" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# Total number of structure to load\n", "N = 100\n", "\n", "# load the structures\n", "frames = read(structures_fn,':{}'.format(N))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Demonstrate the optimization" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "first, we compute the density expansion coefficients on a representative dataset" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "spherical_expansion_hypers = {\n", " \"interaction_cutoff\": 3,\n", " \"max_radial\": 30,\n", " \"max_angular\": 8,\n", " \"gaussian_sigma_constant\": 0.3,\n", " \"gaussian_sigma_type\": \"Constant\",\n", " \"cutoff_smooth_width\": 0.5,\n", " \"radial_basis\": \"DVR\",\n", "}\n", "\n", "spex = SphericalExpansion(**spherical_expansion_hypers)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 94.2 ms, sys: 77.1 ms, total: 171 ms\n", "Wall time: 175 ms\n" ] } ], "source": [ "%%time\n", "feats = spex.transform(frames).get_features_by_species(spex)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "rotation-invariant covariant matrices are computed separately for each species and angular channel\n", "then principal components are computed" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 523 ms, sys: 427 ms, total: 950 ms\n", "Wall time: 140 ms\n" ] } ], "source": [ "%%time\n", "cov = get_radial_basis_covariance(spex, feats)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 103 ms, sys: 126 ms, total: 229 ms\n", "Wall time: 57.9 ms\n" ] } ], "source": [ "%%time\n", "p_val, p_vec = get_radial_basis_pca(cov)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "we can visualize the convergence of the principal components. hint: it's FAST!" ] }, { "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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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.loglog(p_val[(1,)][0], 'r', label=\"H, l=0\")\n", "plt.loglog(p_val[(1,)][3], 'b', label=\"C, l=0\")\n", "plt.loglog(p_val[(6,)][0], 'r--', label=\"H, l=3\")\n", "plt.loglog(p_val[(6,)][3], 'b--', label=\"C, l=3\")\n", "plt.ylim(1e-12,1e-4)\n", "plt.xlabel(\"n\")\n", "plt.ylabel(\"$\\lambda$\")\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "the principal components can be used as projectors to compute a contracted basis. 10 components are (way) more than enough!" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "p_mat = get_radial_basis_projections(p_vec, 10)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "spherical_expansion_optimal_hypers = {\n", " \"interaction_cutoff\": 3,\n", " \"max_radial\": 10,\n", " \"max_angular\": 8,\n", " \"gaussian_sigma_constant\": 0.3,\n", " \"gaussian_sigma_type\": \"Constant\",\n", " \"cutoff_smooth_width\": 0.5,\n", " \"radial_basis\": \"DVR\",\n", " \"optimization\" : {\n", " \"RadialDimReduction\" : {\"projection_matrices\": p_mat},\n", " \"Spline\" : {\"accuracy\": 1e-8}\n", " }\n", "}\n", "\n", "spex_optimal = SphericalExpansion(**spherical_expansion_optimal_hypers)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "evaluation is much faster because the contracted features are computed directly" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 75.6 ms, sys: 7.87 ms, total: 83.5 ms\n", "Wall time: 81.7 ms\n" ] } ], "source": [ "%%time\n", "feats_optimal = spex_optimal.transform(frames).get_features(spex_optimal)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "we can also see how these functions look like \"in real space\"" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "r_grid = np.linspace(1e-5,3.9,1000)\n", "dvr = radial_basis.radial_basis_functions_dvr(r_grid,\n", " spherical_expansion_hypers[\"max_radial\"],\n", " spherical_expansion_hypers[\"interaction_cutoff\"],\n", " spherical_expansion_hypers[\"gaussian_sigma_constant\"])" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "p_dvr_h = p_vec[(1,)][0,:,:10].T @ dvr" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-5.0, 5.0)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for y in dvr:\n", " plt.plot(r_grid, r_grid*y, ls=\":\")\n", "plt.plot(r_grid, r_grid*p_dvr_h[0], 'k')\n", "plt.plot(r_grid, r_grid*p_dvr_h[1], 'b')\n", "plt.plot(r_grid, r_grid*p_dvr_h[2], 'r')\n", "plt.ylim(-5,5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "... and this works equally well with GTOs (and optimal functions are the same!)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "spherical_expansion_hypers.update({\"radial_basis\": \"GTO\", \"max_radial\":20})\n", "spex = SphericalExpansion(**spherical_expansion_hypers)\n", "\n", "feats = spex.transform(frames).get_features_by_species(spex)\n", "cov = get_radial_basis_covariance(spex, feats)\n", "p_val, p_vec = get_radial_basis_pca(cov)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "gto = radial_basis.radial_basis_functions_gto(r_grid,\n", " spherical_expansion_hypers[\"max_radial\"],\n", " spherical_expansion_hypers[\"interaction_cutoff\"])\n", "p_gto_h = p_vec[(1,)][0,:,:10].T @ gto" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-5.0, 5.0)" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for y in gto:\n", " plt.plot(r_grid, r_grid*y, ls=\":\")\n", "plt.plot(r_grid, p_gto_h[0], 'k')\n", "plt.plot(r_grid, p_gto_h[1], 'b')\n", "plt.plot(r_grid, -p_gto_h[2], 'r')\n", "plt.ylim(-5,5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Streamlined helper function" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you don't need diagnostics, you can also use a simple helper function that takes your desired hypers, and builds a compatible optimal basis, optimizing on the given ase.Atoms frames" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "soap_hypers = {\n", " \"soap_type\": \"PowerSpectrum\",\n", " \"interaction_cutoff\": 3,\n", " \"max_radial\": 8,\n", " \"max_angular\": 5,\n", " \"gaussian_sigma_constant\": 0.3,\n", " \"gaussian_sigma_type\": \"Constant\",\n", " \"cutoff_smooth_width\": 0.5,\n", " \"radial_basis\": \"GTO\",\n", " \"normalize\": False\n", "}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "idea is very simple: you take hypers, and a set of reference structures, and it returns the same hypers with optimized radial function. the number of contracted functions is that specified by `max_radial`, and the auxiliary basis functions are those indicated by `expanded_max_radial`" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "soap_hypers = get_optimal_radial_basis_hypers(soap_hypers, frames, expanded_max_radial=20)\n", "'RadialDimReduction' in soap_hypers['optimization']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "these can be used to define a `SphericalInvariants` calculator" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "soap_optimal = SphericalInvariants(**soap_hypers)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "if there is a very large dataset, it is also possible to compute the covariance in blocks, by passing a list of lists rather than just a list of frames. this avoids computing all the large n_max auxiliary features in one go" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "soap_hypers = get_optimal_radial_basis_hypers(soap_hypers, [frames[i:i+10] for i in range(0,100,10)], \n", " expanded_max_radial=20)" ] } ], "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": "3.8.10" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 4 }