From c13e4ba7b444030d29dc5cdce41abad686b236b2 Mon Sep 17 00:00:00 2001 From: Philip Loche Date: Mon, 15 Apr 2024 16:27:12 +0200 Subject: [PATCH] Add how-to to construct pure long range descriptor --- docs/src/how-to/index.rst | 1 + docs/src/how-to/long-range.rst | 45 ++++ .../references/api/python/utils/splines.rst | 2 + .../images/long-range-descriptor-dark.pdf | Bin 0 -> 1042062 bytes .../images/long-range-descriptor-dark.svg | 1 + docs/static/images/long-range-descriptor.pdf | Bin 0 -> 1042061 bytes docs/static/images/long-range-descriptor.svg | 1 + .../examples/long-range-descriptor.py | 211 ++++++++++++++++++ 8 files changed, 261 insertions(+) create mode 100644 docs/src/how-to/long-range.rst create mode 100644 docs/static/images/long-range-descriptor-dark.pdf create mode 100644 docs/static/images/long-range-descriptor-dark.svg create mode 100644 docs/static/images/long-range-descriptor.pdf create mode 100644 docs/static/images/long-range-descriptor.svg create mode 100644 python/rascaline/examples/long-range-descriptor.py diff --git a/docs/src/how-to/index.rst b/docs/src/how-to/index.rst index e14dcdf9d..f54490aed 100644 --- a/docs/src/how-to/index.rst +++ b/docs/src/how-to/index.rst @@ -16,3 +16,4 @@ are a total beginner, you can go to :ref:`userdoc-get-started` section. keys-selection le-basis splined-radial-integral + long-range diff --git a/docs/src/how-to/long-range.rst b/docs/src/how-to/long-range.rst new file mode 100644 index 000000000..4439b4128 --- /dev/null +++ b/docs/src/how-to/long-range.rst @@ -0,0 +1,45 @@ +.. _userdoc-how-to-long-range-descriptor: + +Pure LODE long-range descriptor +=============================== + +The :py:class:`rascaline.LodeSphericalExpansion` allows the calculation of a descriptor that +includes all atoms within the system and projects them onto a spherical expansion/ +fingerprint within a given ``cutoff``. This is very useful if long-range interactions +between atoms are important to describe the physics and chemistry of a collection of +atoms. However, as stated the descriptor contains **ALL** atoms of the system and +sometimes it can be desired to only have a pure long-range/exterior descriptor that only +includes the atoms outside a given cutoff. + +.. figure:: ../../static/images/long-range-descriptor.* + :align: center + :class: only-light + +.. figure:: ../../static/images/long-range-descriptor-dark.* + :align: center + :class: only-dark + +This descriptor can be particular useful when already having a good descriptor for the +short-range density like (SOAP) and the long-range descriptor (far field) should not +have the information the short-range descriptor already contains. + +In this example will construct such a descriptor using the :ref:`radial integral +splining ` tools of ``rascaline``. + +.. tabs:: + + .. group-tab:: Python + + .. container:: sphx-glr-footer sphx-glr-footer-example + + .. container:: sphx-glr-download sphx-glr-download-python + + :download:`Download Python source code for this example: long-range-descriptor.py <../examples/long-range-descriptor.py>` + + .. container:: sphx-glr-download sphx-glr-download-jupyter + + :download:`Download Jupyter notebook for this example: long-range-descriptor.ipynb <../examples/long-range-descriptor.ipynb>` + + .. include:: ../examples/long-range-descriptor.rst + :start-after: start-body + :end-before: end-body diff --git a/docs/src/references/api/python/utils/splines.rst b/docs/src/references/api/python/utils/splines.rst index 4a3b0a912..23c48c54b 100644 --- a/docs/src/references/api/python/utils/splines.rst +++ b/docs/src/references/api/python/utils/splines.rst @@ -1 +1,3 @@ +.. _python-utils-splines: + .. automodule:: rascaline.utils.splines.splines diff --git a/docs/static/images/long-range-descriptor-dark.pdf b/docs/static/images/long-range-descriptor-dark.pdf new file mode 100644 index 0000000000000000000000000000000000000000..e4302b8e953b7dba641b16fa448072e81241a8e4 GIT binary patch literal 1042062 zcmce-W3X;P( 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literal 0 HcmV?d00001 diff --git a/docs/static/images/long-range-descriptor.svg b/docs/static/images/long-range-descriptor.svg new file mode 100644 index 000000000..e37ceb7ca --- /dev/null +++ b/docs/static/images/long-range-descriptor.svg @@ -0,0 +1 @@ +All atom contributionsFourier space LODEdescriptorInterior partreal space LODEdescriptorExterior partresult of this how-to guide \ No newline at end of file diff --git a/python/rascaline/examples/long-range-descriptor.py b/python/rascaline/examples/long-range-descriptor.py new file mode 100644 index 000000000..bb88eecd1 --- /dev/null +++ b/python/rascaline/examples/long-range-descriptor.py @@ -0,0 +1,211 @@ +""" +.. _userdoc-tutorials-long-range-descriptor: + +Pure LODE long-range descriptor +=============================== + +.. start-body + +We start the example by loading the required packages +""" + +import ase +import ase.visualize.plot +import matplotlib.pyplot as plt +import numpy as np +from ase.build import molecule +from numpy.testing import assert_allclose + +from rascaline import LodeSphericalExpansion, SphericalExpansion +from rascaline.utils import GtoBasis, LodeDensity, LodeSpliner, SoapSpliner + + +# %% +# Our test system is a single water molecule with a large vacuum layer around it. + +atoms = molecule("H2O", vacuum=10, pbc=True) + +ase.visualize.plot.plot_atoms(atoms) + +plt.xlabel("Å") +plt.ylabel("Å") + +plt.show() + + +# %% +# We choose a ``cutoff`` that includes all atoms of the system for the projection of the +# spherical expansion and the neighbor search of the real space spherical expansion. +# + +cutoff = 5 + + +# %% +# The idea of the combination of the test system and the ``cutoff`` is to in the end +# be able to show that the full atomic fingerprint is contained within the ``cutoff``. +# By later subtracting the LODE density and the short-range density we will see that the +# difference between them is zero - meaning that this is the short-range system. +# +# On top of that we choose a large potential exponent to have a quickly decaying LODE +# density. + +potential_exponent = 6 + + +# %% +# We also define some usual hyperparameters to compute the spherical expansions. +# + +max_radial = 5 +max_angular = 1 +atomic_gaussian_width = 1.2 +recalc_splines = True +center_atom_weight = 1.0 + + +# %% +# We choose a relatively low spline accuracy (default is ``1e-8``) to achieve a quick +# compuyattion of the spline points. You can increase spline accuracy if required, +# computation time will increase! + +spline_accuracy = 1e-2 + + +# %% +# As a projection basis we choose the usual ``GTO`` Basis + +basis = GtoBasis(cutoff=cutoff, max_radial=max_radial) + + +# %% +# And as the basis we choose a smeared power law, as used in LODE. Which does not decay +# exponentially as for example a :py:class:`Gaussian density +# ` and therefore is suited to describe long range +# interactions between atoms. + +density = LodeDensity( + atomic_gaussian_width=atomic_gaussian_width, + potential_exponent=potential_exponent, +) + + +# %% +# Now we have all the building blocks to construct the spline points for the real and +# Fourier space Spherical expansions. + +rs_splines = SoapSpliner( + cutoff=cutoff, + max_radial=max_radial, + max_angular=max_angular, + basis=basis, + density=density, + accuracy=spline_accuracy, +).compute() + + +# Usually this value for `k_cutoff` gives good convergences for the k-space version +k_cutoff = 1.2 * np.pi / atomic_gaussian_width + +# Fourier space splines +fs_splines = LodeSpliner( + k_cutoff=k_cutoff, + max_radial=max_radial, + max_angular=max_angular, + basis=basis, + density=density, + accuracy=spline_accuracy, +).compute() + + +# %% +# You might want to save the spline points using :py:func:`json.dump` to a file to reuse +# them later without recalculating them again. Saving them is especially useful if the +# spline calculations are expensive i.e. if you increase the ``spline_accuracy``. +# +# With the spline points on hand we now compute the real space spherical expansion + +rs_se = SphericalExpansion( + cutoff=cutoff, + max_radial=max_radial, + max_angular=max_angular, + atomic_gaussian_width=atomic_gaussian_width, + radial_basis=rs_splines, + center_atom_weight=center_atom_weight, + cutoff_function={"Step": {}}, +).compute(atoms) + + +# %% +# and the Fourier Space / Lode Spherical expansion. + +fs_se = LodeSphericalExpansion( + cutoff=cutoff, + max_radial=max_radial, + max_angular=max_angular, + atomic_gaussian_width=atomic_gaussian_width, + center_atom_weight=center_atom_weight, + potential_exponent=potential_exponent, + radial_basis=fs_splines, + k_cutoff=k_cutoff, +).compute(atoms) + + +# %% +# As described in the beginning we now subtract real space LODE contributions from +# fourier space. + + +subtracted_se = fs_se - rs_se + + +# %% +# We densify the TensorMap to have only one block per ``"center_type"`` to visualize our +# result. + +fs_se = fs_se.components_to_properties("o3_mu") +fs_se = fs_se.keys_to_samples("neighbor_type") +fs_se = fs_se.keys_to_properties(["o3_lambda", "o3_sigma"]) + +subtracted_se = subtracted_se.components_to_properties("o3_mu") +subtracted_se = subtracted_se.keys_to_samples("neighbor_type") +subtracted_se = subtracted_se.keys_to_properties(["o3_lambda", "o3_sigma"]) + + +# %% +# Finally, we plot the values of each block for the Fourier Space spherical expansion +# the upper panel and the difference between the Fourier Space and the real space in +# the lower panel. + +for key in fs_se.keys: + fig, ax = plt.subplots(2, layout="constrained") + + values_subtracted = subtracted_se[key].values + values_fs = fs_se[key].values + + # maximal and minimal values for same scaling of axes + vmin = min(np.min(values_subtracted), np.min(values_fs)) + vmax = max(np.max(values_subtracted), np.max(values_fs)) + + ax[0].set_title(f"center_type={key.values[0]}\n Fourier space sph. expansion") + im = ax[0].matshow(values_fs, vmin=vmin, vmax=vmax) + ax[0].set_ylabel("sample index") + + ax[1].set_title("Difference between Fourier and real space sph. expansion") + ax[1].matshow(values_subtracted, vmin=vmin, vmax=vmax) + ax[1].set_ylabel("sample index") + ax[1].set_xlabel("property index") + + fig.colorbar(im, ax=ax[0], orientation="horizontal", fraction=0.1, label="values") + + assert_allclose(values_subtracted, 0, atol=spline_accuracy) + + +# %% +# The plot shows that the spherical expansion for the Fourier Space is non-zero while +# the difference between the two spherical expansions is zero within the given +# tolerance. In addition to the visual inspection, we also added an assertion test using +# :py:func:`assert_allclose ` to verify that the values +# are close actually to zero. +# +# .. end-body

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