diff --git a/.gitattributes b/.gitattributes index eba1ffac5..adeaadaed 100644 --- a/.gitattributes +++ b/.gitattributes @@ -2,3 +2,4 @@ *.ipynb diff=ipynb examples/optimized_radial_basis_functions.ipynb filter= diff= +examples/zundel_i-PI.ipynb filter= diff= diff --git a/CMakeLists.txt b/CMakeLists.txt index 9b1a0624d..9f2c8fab6 100644 --- a/CMakeLists.txt +++ b/CMakeLists.txt @@ -43,10 +43,6 @@ option(BUILD_SANDBOX "If on, builds the sandbox" OFF) set(INSTALL_PATH "" CACHE STRING "Path to install the libraries") -SET(TYPE_ARCHITECTURE "native" CACHE STRING - "Choose the type of architecture to compile to in release mode." -) - ########## COMPILATION FLAGS ########## set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -Wall -Wextra -Weffc++ -Wno-non-virtual-dtor") set(CMAKE_C_FLAGS "${CMAKE_C_FLAGS} -Wall -Wextra") @@ -57,14 +53,6 @@ if ("${CMAKE_CXX_COMPILER_ID}" STREQUAL "GNU" OR set(CMAKE_C_FLAGS_DEBUG "${CMAKE_C_FLAGS_DEBUG} -Og") set(CMAKE_CXX_FLAGS_DEBUG "${CMAKE_CXX_FLAGS_DEBUG} -Og") - - # Add -march=${TYPE_ARCHITECTURE} (-march=native by default) to the release - # build flags - set(CMAKE_C_FLAGS_RELEASE "${CMAKE_C_FLAGS_RELEASE} -march=${TYPE_ARCHITECTURE}") - set(CMAKE_CXX_FLAGS_RELEASE "${CMAKE_CXX_FLAGS_RELEASE} -march=${TYPE_ARCHITECTURE}") - - set(CMAKE_C_FLAGS_RELWITHDEBINFO "${CMAKE_C_FLAGS_RELWITHDEBINFO} -march=${TYPE_ARCHITECTURE}") - set(CMAKE_CXX_FLAGS_RELWITHDEBINFO "${CMAKE_CXX_FLAGS_RELWITHDEBINFO} -march=${TYPE_ARCHITECTURE}") endif() ########## START CONFIGURATION ########## @@ -80,7 +68,7 @@ else() endif() add_external_package(wigxjpf VERSION 1.9 CONFIG) -add_external_package(Eigen3 VERSION 3.3.4 CONFIG) +add_external_package(Eigen3 IGNORE_SYSTEM VERSION 3.3.4 CONFIG) if(BUILD_BENCHMARKS) find_package(Threads REQUIRED) diff --git a/bindings/rascal/models/gaptools.py b/bindings/rascal/models/gaptools.py new file mode 100644 index 000000000..32f72ef4d --- /dev/null +++ b/bindings/rascal/models/gaptools.py @@ -0,0 +1,496 @@ +#!/usr/bin/env python +# coding: utf-8 + +import os +from collections.abc import Iterable + +import ase.io +import numpy as np + +from rascal import models, representations, utils +from rascal.models.krr import SparseGPRSolver +from rascal.neighbourlist import store_features_ase_atoms +from rascal.utils.filter import AtomsListWrapper + +WORKDIR = os.getcwd() + + +def calculate_features( + geoms, + rep_parameters, + rep_class=representations.SphericalInvariants, + auto_wrap=True, +): + """Calculate feature vectors (e.g. SOAPs) + + Parameters: + geoms List of Atoms objects to transform + rep_parameters + Dictionary of parameters used to initialize the + representation + Optional arguments: + rep_class Class that specifies which representation to use + (default rascal.representations.SphericalInvariants) + auto_wrap Automatically wrap all the atoms so they are + "inside" the periodic cell by the libRascal + definition? (Default True, recommended for periodic + structures). + WARNING: Structures intended to be treated as + non-periodic require special handling -- do not use + this option! Manually pad the cell and shift the + positions instead. + + Returns the Representation object and the SOAP vectors (the latter in + the internal librascal representation) + """ + rep = rep_class(**rep_parameters) + if auto_wrap: + for geom in geoms: + geom.wrap(eps=1e-10) + soaps = rep.transform(geoms) + return rep, soaps + + +# TODO also support feature sparsification (this just does env. sparsification +# for now) +def sparsify_environments( + rep, features, n_sparse, selection_type="CUR", save_sparsepoints=False +): + """Sparsify the feature matrix along the environments dimension + + Parameters: + rep Representation calculator used to compute the features + features List of features to use for sparsification, in the + internal librascal representation + n_sparse Number of sparse points per species, in the form of + a dict mapping atomic number to number of requested + sparse points + Optional arguments: + selection_type + Which selection algorithm to use. 'CUR' and 'FPS' + are supported (see the documentation in rascal.utils + for details on each method), default CUR. + save_sparsepoints + Write the list of sparse points to a file for later use? + (default False) + + Returns the sparse points, again in the internal librascal representation + """ + if selection_type.upper() == "CUR": + compressor = utils.CURFilter(rep, n_sparse, act_on="sample per species") + elif selection_type.upper() == "FPS": + # TODO random starting index? by default? + compressor = utils.FPSFilter(rep, n_sparse, act_on="sample per species") + sparse_points = compressor.select_and_filter(features) + if save_sparsepoints: + utils.dump_obj(os.path.join(WORKDIR, "sparsepoints.json"), sparse_points) + return sparse_points + + +def sparsify_environments_barefeats( + feature_matrix, frames, n_sparse, selection_type="CUR", save_sparsepoints=False +): + """Sparsify the feature matrix and just return the selected indices + + Parameters: + feature_matrix + Features to use for sparsification, as a 2-D numpy + array (environments along the first dimension) + frames List of ASE Atoms objects (to indicate atom species) + Warning: The features are stored here under the key + "select_features", overwriting anything already stored + under that arrays key! + n_sparse Number of sparse points per species, in the form of + a dict mapping atomic number to number of requested + sparse points + Optional arguments: + selection_type + Which selection algorithm to use. 'CUR' and 'FPS' + are supported (see the documentation in rascal.utils + for details on each method), default CUR. + save_sparsepoints + Write the list of sparse points to a file for later use? + (default False) + + Returns the sparse points as a dict of 2-d numpy arrays, one per + central atom species -- concatenate them along the first axis to + get a flat array + """ + feats_wrapped = AtomsListWrapper( + store_features_ase_atoms(frames, feature_matrix, "select_features") + ) + if selection_type.upper() == "CUR": + compressor = utils.CURFilter( + "select_features", n_sparse, act_on="sample per species" + ) + elif selection_type.upper() == "FPS": + # TODO random starting index? by default? + compressor = utils.FPSFilter( + "select_features", n_sparse, act_on="sample per species" + ) + sparse_points = compressor.select_and_filter(feats_wrapped) + if save_sparsepoints: + np.save(os.path.join(WORKDIR, "sparsepoints"), sparse_points) + return sparse_points + + +def build_sparse_list(list_natoms, absolute_index_list): + """Convert an absolute-indexed selection to structure-indexed format + + Parameters: + list_natoms List of the number of atoms in each structure + absolute_index_list + List of sparse points selected, indexed from the + beginning of the entire feature matrix + (Note: if you need to preserve the order of the sparse + points, then you should not use Rascal's SparsePoints) + """ + index_breaks = np.cumsum(list_natoms) + find_struct = lambda i: np.searchsorted(index_breaks - 1, i) + structure_based_indices = [[] for n in list_natoms] + for abs_idx in absolute_index_list: + structure_index = find_struct(abs_idx) + offset = index_breaks[structure_index - 1] if (structure_index > 0) else 0 + structure_based_indices[structure_index].append(abs_idx - offset) + return structure_based_indices + + +def compute_kernels( + rep, + soaps, + sparse_points, + soap_power=2, + do_gradients=True, + compute_sparse_kernel=True, + target_type="Structure", + save_kernels=False, +): + """Compute the kernels necessary for a GAP fit + + Parameters: + rep Representation object (holds representation + hyperparameters; necessary for initializing the kernel) + soaps SOAP vectors of all training structures + sparse_points + Support points for the fit, containing SOAP vectors for + the selected environments + + Optional arguments: + soap_power + Integer power to which to raise the SOAP kernel; + defaults to 2 (to make the kernel nonlinear) + do_gradients + Whether to compute the gradients kernel as well in order + to fit forces. Default True; fitting with gradients is + more expensive but usually much more accurate than + fitting on energies alone. + compute_sparse_kernel + Whether to compute the sparse-sparse kernel (K_MM) + needed to do a fit. Note that it is not necessary to + recompute this kernel when evaluating an existing fit on + new data; therefore, this option can be set to False for + that task. If this option is set to False, an empty + array will be returned in place of the sparse kernel. + target_type : string + Type of target (prediction) properties, must be either 'Atom' (the kernel + is between atomic environments) or 'Structure' (the kernel is summed over + atoms in a structure), which is the default + + Returns a tuple of: the kernel object (which contains all the kernel + parameters), the sparse kernel, and the energy kernel (and force + kernel, if requested). + """ + kernel = models.Kernel( + rep, name="GAP", zeta=soap_power, target_type=target_type, kernel_type="Sparse" + ) + if compute_sparse_kernel: + kernel_sparse = kernel(sparse_points) + if save_kernels: + np.save(os.path.join(WORKDIR, "K_MM"), kernel_sparse) + else: + kernel_sparse = np.array([]) + kernel_sparse_full = kernel(soaps, sparse_points) + # TODO make kernel name configurable so we don't overwrite training + # kernels with possible future test kernels + if save_kernels: + np.save(os.path.join(WORKDIR, "K_NM_E"), kernel_sparse_full) + if do_gradients: + if target_type == "Atom": + raise ValueError( + "Atom-centered properties do not support gradients at present" + ) + # In this case, the representation matrix _with_ gradients is usually + # too large to fit in memory, so we make a special version of the + # representation with gradients enabled and then compute the K_NM + # gradient entries one at a time. + rep_hypers = rep._get_init_params() + rep_hypers["compute_gradients"] = True + rep_grads = rep.__class__(**rep_hypers) + kernel = models.Kernel( + rep_grads, + name="GAP", + zeta=soap_power, + target_type=target_type, + kernel_type="Sparse", + ) + kernel_rows = [] + for frame in soaps._frames: + soap_grad = rep_grads.transform([frame]) + kernel_row = kernel(soap_grad, sparse_points, grad=(True, False)) + kernel_rows.append(kernel_row) + kernel_sparse_full_grads = np.concatenate(kernel_rows) + if save_kernels: + np.save(os.path.join(WORKDIR, "K_NM_F"), kernel_sparse_full_grads) + return (kernel, kernel_sparse, kernel_sparse_full, kernel_sparse_full_grads) + else: + return kernel, kernel_sparse, kernel_sparse_full + + +def _get_energy_baseline(geom, atom_contributions, target_type="Structure"): + """Get the energy baseline for a single structure + + Depends only on the number of atoms of each atomic species present; + the 'atom_contributions' dictionary says how much energy to assign + to an atom of each species. + """ + + if target_type == "Structure": + e0 = 0.0 + for species, e0_value in atom_contributions.items(): + e0 += e0_value * np.sum(geom.get_atomic_numbers() == species) + elif target_type == "Atom": + if "center_atoms_mask" in geom.arrays: + # selects only the masked atoms + e0 = np.asarray( + [ + atom_contributions[species] + for species in geom.get_atomic_numbers()[ + geom.arrays["center_atoms_mask"] + ] + ] + ) + else: + # loop over all atoms + e0 = np.asarray( + [atom_contributions[species] for species in geom.get_atomic_numbers()] + ) + else: + raise ValueError("Invalid baseline target ", target_type) + return e0 + + +def extract_kernel_indices( + idces, kernel, kernel_grads=None, natoms=None, target_type="Structure" +): + """Extract rows from the sparse-full kernel ("K_NM") + + This is useful e.g. to perform a train-test or a CV split + + Parameters + ---------- + idces: list(int) or 1-D array + List of indices (structure or atom) to extract + kernel: 2-D array + Sparse-full kernel ("K_NM") + kernel_grads: 2-D array, optional + Gradient of sparse-full kernel w.r.t. atomic positions + natoms: int or list(int) + Number of atoms in each structure. Can be a single number + if all structures have the same number of atoms. Only + needed if kernel_grads supplied and target_type=="Structure". + target_type: "Structure" or "Atom" + Whether the sparse-full kernel and extraction indices are + for structures or atoms - "Structure" means structure indices + and structure (summed) kernels, "Atom" means atom indices + and atomic kernels + + Returns + ------- + kernel_sub: 2-D array + Extracted subset of kernel matrix + kernel_grads_sub: 2-D array + Corresponding subset of gradient kernel matrix, if supplied + """ + n_rows = kernel.shape[0] + n_sub = len(idces) + kernel_sub = kernel[idces] + if kernel_grads is None: + return kernel_sub + if target_type == "Atom": + kernel_grads_sub = kernel_grads.reshape((n_rows, 3, -1))[idces].reshape( + (n_sub * 3, -1) + ) + elif target_type == "Structure": + if natoms is None: + raise ValueError( + "Must supply number of atoms for each structure " + "in order to extract subset from kernel_grads" + ) + elif isinstance(natoms, Iterable): + kernel_grads_sub = [] + kernel_grads_peratom = kernel_grads.reshape((sum(natoms), 3, -1)) + offsets = np.cumsum(natoms) + for idx in idces: + nat = natoms[idx] + offset = offsets[idx] - nat + kernel_grads_sub.append(kernel_grads_peratom[offset : offset + nat]) + kernel_grads_sub = np.concatenate(kernel_grads_sub) + n_grads_sub = kernel_grads_sub.shape[0] + kernel_grads_sub = kernel_grads_sub.reshape((n_grads_sub * 3, -1)) + else: + kernel_grads_sub = kernel_grads.reshape((n_rows, natoms, 3, -1))[ + idces + ].reshape((n_sub * natoms * 3, -1)) + else: + raise ValueError(f'Unrecognized target_type: "{target_type:s}"') + return kernel_sub, kernel_grads_sub + + +# TODO also make energies optional +def fit_gap_simple( + geoms, + kernel_sparse, + energies, + kernel_energies_sparse, + energy_regularizer_peratom, + energy_atom_contributions=None, + forces=None, + kernel_gradients_sparse=None, + force_regularizer=None, + solver_type="Normal", + jitter=1e-10, + target_type="Structure", +): + """ + Fit a GAP model to total energies and optionally forces + + Simple version; just takes geometries, kernels, energies, and forces, + returning only the weights. No automatic scaling by target property + variance; the regularizers should therefore be the _ratio_ of the + expected error in the property to the expected scale (variance) of + the fitted energy surface. + + In the notation below, M is the number of sparse points, N is the + number of training structures, and P is the total number of atoms + in the training structures. + + Parameters: + geoms Training structures: List of Atoms objects + kernel_sparse Kernel between sparse points and themselves: + NumPy array of shape MxM + energies Total energies of the structures to fit + kernel_energies_sparse + Kernel between sparse points and training + structures: NumPy array of shape NxM + energy_regularizer_peratom + Energy regularizer (actually ratio between + expected error and expected target variance; + see above). Expressed in energy units per atom, + therefore scaled with the size of the structure. + energy_atom_contributions + Baseline energy contributions per atomic species + Dict mapping species to baseline energy value + per atom. None to avoid baselining + + Parameters for force fitting: + forces Forces of the structures to fit: NumPy array of + shape Px3 (or NxQx3 where N*Q=P) + kernel_gradients_sparse + Gradient kernel between sparse points and target + structures: NumPy array of shape 3PxM + Note that gradients are the negative of the + forces, though this is mostly handled + transparently by the code (just pass in forces) + force_regularizer + Force regularizer (see above), in units of + energy / distance (component-wise) + + Optional arguments: + solver_type Which solver to use for the sparse GPR equations. + Options are "Normal", "QR", "RKHS", and "RKHS-QR". + See the documentation of + rascal.models.krr.SparseGPRSolver for details. + Default "Normal". + jitter Value to add to the diagonal of the sparse GPR + equations to make them stable, see SparseGPRSolver + for details. Default 1E-10. + + Returns the weights (1-D array, size M) that define the fit. + """ + if energy_atom_contributions is not None: + e0_all = np.array( + [ + _get_energy_baseline(geom, energy_atom_contributions, target_type) + for geom in geoms + ] + ).flatten() + energies_shifted = energies - e0_all + else: + energies_shifted = energies + + if target_type == "Structure": + natoms_list = np.array([len(geom) for geom in geoms]) + energy_regularizer = energy_regularizer_peratom * np.sqrt(natoms_list) + kernel_energies_norm = ( + kernel_energies_sparse / energy_regularizer[:, np.newaxis] + ) + else: + energy_regularizer = energy_regularizer_peratom + kernel_energies_norm = kernel_energies_sparse / energy_regularizer + if forces is not None: + gradients = -1 * forces + kernel_gradients_norm = kernel_gradients_sparse / force_regularizer + K_NM = np.vstack((kernel_energies_norm, kernel_gradients_norm)) + Y = np.concatenate( + ( + energies_shifted / energy_regularizer, + gradients.flatten() / force_regularizer, + ) + ) + else: + K_NM = kernel_energies_norm + Y = energies_shifted / energy_regularizer + + # Old, unstable version - the active code below should be equivalent to + # solving these equations in a more stable way. + # K = kernel_sparse + K_NM.T @ K_NM + # weights, *_ = np.linalg.lstsq(K, K_NM.T @ Y, rcond=rcond) + # + # The regularizer is pre-multiplied with the kernel matrices, so we do not + # include it in the solver below. This also implies the use of an absolute + # jitter. + solver = SparseGPRSolver( + kernel_sparse, + regularizer=1, + jitter=jitter, + solver=solver_type, + relative_jitter=False, + ) + solver.fit(K_NM, Y) + return solver._weights + + +def load_potential( + model_in, rep_parameters, rep_class=representations.SphericalInvariants +): + """Load a previously fitted model as an ASE Calculator + + Parameters: + model_in KRR model, either a rascal.models.KRR + instance or the filename of a model stored + in JSON format + rep_parameters Dictionary of parameters used to initialize + the representation + rep_class Class that specifies which representation + to use (default + rascal.representations.SphericalInvariants) + + Returns an ASE Calculator (rascal.models.ASEMLCalculator instance) + that computes energies and forces of ASE Atoms objects + """ + if isinstance(model_in, models.KRR): + model = model_in + else: + model = utils.load_obj(model_in) + rep = rep_class(**rep_parameters) + return models.IP_ase_interface.ASEMLCalculator(model, rep) diff --git a/bindings/rascal/models/kernels.py b/bindings/rascal/models/kernels.py index 96801794d..231000a5d 100644 --- a/bindings/rascal/models/kernels.py +++ b/bindings/rascal/models/kernels.py @@ -65,7 +65,7 @@ def __init__( name="Cosine", kernel_type="Full", target_type="Structure", - **kwargs + **kwargs, ): # This case cannot be handled by the c++ side because c++ cannot deduce the # type from arguments inside a json, so it has to be casted in the c++ @@ -170,6 +170,216 @@ def __call__(self, X, Y=None, grad=(False, False), compute_neg_stress=False): ) +class KernelDirect(BaseIO): + + """Compute a kernel directly by specifying the feature matrices + + This class aims to be compatible with the KRR class and gaptools + infrastructure, while not requiring a link to a librascal representation + calculator. The tradeoff is lower computational efficiency, especially + for sparse multi-species systems. + + TODO implement gradient kernels + """ + + def __init__( + self, + kernel_power, + representation=None, + kernel_name="Cosine", + target_type="Atom", + features_key="features", + grad_suffix="_grad", + ): + """Make a kernel function with the given parameters + + Currently only supports atom-wise dot-product (aka Cosine) + kernels, raised to some power. + + Parameters + ---------- + kernel_power : int or float + Exponent of the polynomial kernel, sometimes called zeta + + Other parameters + ---------------- + representation : object + Optional representation calculator, currently unused + kernel_name : str + Type of kernel; must be "Cosine" + target_type : str + Selects whether the kernel is computed for atoms ('Atom') + or structures ('Structure'). + features_key : str + For structure kernels, which key is used to access the + features in the provided ASE Atoms objects. + This can be modified in the kernel __call__() as well. + grad_suffix : str + How to access the feature gradients: The 'features_key' is + appended with the given suffix (default '_grad') and used as + the new key to access the arrays dictionary + + Returns + ------- + kernel : function + Function for computing the kernel between two feature matrices + """ + if kernel_name != "Cosine": + raise ValueError("Only cosine kernels are supported") + valid_target_types = ["Atom", "Structure"] + if target_type not in valid_target_types: + raise ValueError(f"'target_type' must be one of: {valid_target_types!s}") + self.kernel_name = kernel_name + self.target_type = target_type + self.features_key = features_key + self.grad_suffix = grad_suffix + self.kernel_power = kernel_power + self._representation = representation + + def _self_kernel(self, features): + """Compute the kernel of the feature matrix with itself""" + return (features @ features.T) ** self.kernel_power + + def __call__( + self, + features, + other_features=None, + grad=False, + features_key=None, + grad_suffix=None, + ): + """Compute the kernel between the feature matrices + + Parameters + ---------- + features : 2-D array or list(ase.Atoms) + First set of features. If target_type=='Structure', and not + doing a self-kernel, should instead be a list of ASE Atoms with the + features for each structure stored in the Atoms.arrays attribute, + e.g. using librascal.neighbourlist.store_features_ase_atoms() + The sparse points should then be supplied as 'other_features' + other_features : 2-D array, optional + Second set of features (normally, the sparse points) + If not provided, the kernel is computed between the + first feature set and itself. + features_key : str, optional + For structure kernels, the dictionary key used to access + features in the ASE Atoms objects. If provided, overrides the key + provided in the constructor. + grad_suffix : str, optional + How to access the feature gradients: The 'features_key' is + appended with the given suffix (default '_grad') and used as + the new key to access the arrays dictionary. + If provided, overrides the key provided in the constructor. + grad : bool + Whether to compute the _gradient_ of the kernel with respect + to atomic positions. This operation is only applied to the + first set of features, since the double-gradient kernel is + practically never used. Not supported for the self-kernel + (i.e. if other_features is None). + See grad_suffix for information on how the feature gradients + (required) are accessed. + + Returns + ------- + kernel : 2-D array + The kernel between the requested features + """ + # Compatibility with the original Kernel call function + if isinstance(grad, tuple): + grad = grad[0] + if other_features is None: + if grad: + raise ValueError("Gradients are not supported for the self-kernel") + return self._self_kernel(features) + else: + if self.target_type == "Atom": + return (features @ other_features.T) ** self.kernel_power + elif self.target_type == "Structure": + if not grad: + output_kernel = np.empty((len(features), other_features.shape[0])) + else: + n_atoms_tot = sum(len(struct) for struct in features) + output_kernel = np.empty((n_atoms_tot, 3, other_features.shape[0])) + offset = 0 + # This may be a somewhat slow way of doing the computation, + # but avoids hogging large amounts of memory at once. + # Consider implementing a "blocking" option to compromise the + # two needs in the future. + if features_key is None: + features_key = self.features_key + if grad_suffix is None: + grad_suffix = self.grad_suffix + for structure_idx, structure in enumerate(features): + try: + structure_features = structure.arrays[features_key] + if grad: + structure_feat_grad = structure.arrays[ + features_key + grad_suffix + ] + except AttributeError as ae: + raise ValueError( + "Need a list of ASE Atoms for structure kernels" + ) from ae + except KeyError as ke: + raise ValueError( + f"No features found under key '{features_key}'" + ) from ke + if not grad: + output_kernel[structure_idx] = np.sum( + (structure_features @ other_features.T) + ** self.kernel_power, + axis=0, + ) + else: + natoms = len(structure) + if structure_feat_grad.shape[0] != ( + natoms, + natoms, + 3, + other_features.shape[0], + ): + raise ValueError( + "Feature gradients need to have shape " + "(N_atoms x N_atoms x 3 x N_feat)" + f" -- got shape: {structure_feat_grad.shape!s}" + ) + # TODO check correctness -- also this is very + # inefficient if N_neigh << N_atoms + # This term is theoretically of size N_neigh x 3 + # but we don't have any way of telling here which atoms + # are actually neighbours of which center, so we just + # compute an N_atoms x 3 matrix instead with the + # understanding that the first index lists neighbours + # that should be summed over in the end + chainrule_term = self.kernel_power * ( + structure_features @ other_features.T + ) ** (self.kernel_power - 1) + dot_prod_derivative = structure_feat_grad @ other_features.T + output_kernel[offset : offset + natoms] = np.sum( + chainrule_term[np.newaxis, :, np.newaxis, :] + * dot_prod_derivative, + axis=1, + ) + return output_kernel + else: + raise ValueError(f"Unknown target_type: '{self.target_type}'") + + def _set_data(self, data): + super()._set_data(data) + + def _get_data(self): + return super()._get_data() + + def _get_init_params(self): + return dict( + kernel_power=self.kernel_power, + kernel_name=self.kernel_name, + target_type=self.target_type, + representation=self._representation, + ) + + def compute_numerical_kernel_gradients( kernel, calculator, managers, sparse_points, h_disp, compute_neg_stress=True ): diff --git a/bindings/rascal/models/krr.py b/bindings/rascal/models/krr.py index 6ec674554..c28bd1b7d 100644 --- a/bindings/rascal/models/krr.py +++ b/bindings/rascal/models/krr.py @@ -10,10 +10,146 @@ from ..utils import BaseIO from ..lib import compute_sparse_kernel_gradients, compute_sparse_kernel_neg_stress +import scipy import numpy as np import ase +class SparseGPRSolver: + """ + A few quick implementation notes, docs to be done. + + This is meant to solve the sparse GPR problem + b = (KNM.T@KNM + reg*KMM)^-1 @ KNM.T@y + + The inverse needs to be stabilized with application of a numerical jitter, + that is expressed as a fraction of the largest eigenvalue of KMM + + + """ + + def __init__( + self, KMM, regularizer=1, jitter=0, solver="RKHS", relative_jitter=True + ): + + self.solver = solver + self.KMM = KMM + self.relative_jitter = relative_jitter + + self._nM = len(KMM) + if self.solver == "RKHS" or self.solver == "RKHS-QR": + self._vk, self._Uk = scipy.linalg.eigh(KMM) + self._vk = self._vk[::-1] + self._Uk = self._Uk[:, ::-1] + elif self.solver == "QR" or self.solver == "Normal": + # gets maximum eigenvalue of KMM to scale the numerical jitter + self._KMM_maxeva = scipy.sparse.linalg.eigsh( + KMM, k=1, return_eigenvectors=False + )[0] + else: + raise ValueError( + "Solver ", + solver, + " not supported. Possible values are [RKHS, RKHS-QR, QR, Normal].", + ) + if relative_jitter: + if self.solver == "RKHS" or self.solver == "RKHS-QR": + self._jitter_scale = self._vk[0] + elif self.solver == "QR" or self.solver == "Normal": + self._jitter_scale = self._KMM_maxeva + else: + self._jitter_scale = 1.0 + self.set_regularizers(regularizer, jitter) + + def set_regularizers(self, regularizer=1.0, jitter=0.0): + self.regularizer = regularizer + self.jitter = jitter + if self.solver == "RKHS" or self.solver == "RKHS-QR": + self._nM = len(np.where(self._vk > self.jitter * self._jitter_scale)[0]) + self._PKPhi = self._Uk[:, : self._nM] * 1 / np.sqrt(self._vk[: self._nM]) + elif self.solver == "QR": + self._VMM = scipy.linalg.cholesky( + self.regularizer * self.KMM + + np.eye(self._nM) * self._jitter_scale * self.jitter + ) + self._Cov = np.zeros((self._nM, self._nM)) + self._KY = None + + def partial_fit(self, KNM, Y, accumulate_only=False): + + if len(Y) > 0: + # only accumulate if we are passing data + if len(Y.shape) == 1: + Y = Y[:, np.newaxis] + if self.solver == "RKHS": + Phi = KNM @ self._PKPhi + elif self.solver == "Normal": + Phi = KNM + else: + raise ValueError( + "Partial fit can only be realized with solver = [RKHS, Normal]" + ) + if self._KY is None: + self._KY = np.zeros((self._nM, Y.shape[1])) + + self._Cov += Phi.T @ Phi + self._KY += Phi.T @ Y + + # do actual fit if called with empty array or if asked + if len(Y) == 0 or (not accumulate_only): + if self.solver == "RKHS": + self._weights = self._PKPhi @ scipy.linalg.solve( + self._Cov + np.eye(self._nM) * self.regularizer, + self._KY, + assume_a="pos", + ) + elif self.solver == "Normal": + self._weights = scipy.linalg.solve( + self._Cov + + self.regularizer * self.KMM + + np.eye(self.KMM.shape[0]) * self.jitter * self._jitter_scale, + self._KY, + assume_a="pos", + ) + + def fit(self, KNM, Y): + + if len(Y.shape) == 1: + Y = Y[:, np.newaxis] + if self.solver == "RKHS": + Phi = KNM @ self._PKPhi + self._weights = self._PKPhi @ scipy.linalg.solve( + Phi.T @ Phi + np.eye(self._nM) * self.regularizer, + Phi.T @ Y, + assume_a="pos", + ) + elif self.solver == "RKHS-QR": + A = np.vstack( + [KNM @ self._PKPhi, np.sqrt(self.regularizer) * np.eye(self._nM)] + ) + Q, R = np.linalg.qr(A) + self._weights = self._PKPhi @ scipy.linalg.solve_triangular( + R, Q.T @ np.vstack([Y, np.zeros((self._nM, Y.shape[1]))]) + ) + elif self.solver == "QR": + A = np.vstack([KNM, self._VMM]) + Q, R = np.linalg.qr(A) + self._weights = scipy.linalg.solve_triangular( + R, Q.T @ np.vstack([Y, np.zeros((KNM.shape[1], Y.shape[1]))]) + ) + elif self.solver == "Normal": + self._weights = scipy.linalg.solve( + KNM.T @ KNM + + self.regularizer * self.KMM + + np.eye(self._nM) * self.jitter * self._jitter_scale, + KNM.T @ Y, + assume_a="pos", + ) + + def predict(self, KTM): + return KTM @ self._weights + + class KRR(BaseIO): """Kernel Ridge Regression model. Only supports sparse GPR training for the moment. @@ -32,6 +168,7 @@ class KRR(BaseIO): self_contributions : dictionary map atomic number to the property baseline, e.g. isolated atoms energies when the model has been trained on total energies. + None to avoid computing a baseline description : string User-defined string used to describe the model for future reference @@ -46,7 +183,7 @@ def __init__( weights, kernel, X_train, - self_contributions, + self_contributions=None, description="KRR potential model", units=None, ): @@ -84,9 +221,14 @@ def _get_property_baseline(self, managers): Y0 = np.zeros(n_centers) i_center = 0 for manager in managers: - for center in manager: - Y0[i_center] = self.self_contributions[center.atom_type] - i_center += 1 + if isinstance(manager, ase.Atoms): + for sp in manager.get_atomic_numbers(): + Y0[i_center] = self.self_contributions[sp] + i_center += 1 + else: + for center in manager: + Y0[i_center] = self.self_contributions[center.atom_type] + i_center += 1 return Y0 def predict(self, managers, KNM=None): @@ -112,12 +254,16 @@ def predict(self, managers, KNM=None): raise ValueError( "KNM size mismatch {}!={}".format(len(managers), KNM.shape[0]) ) - elif self.X_train.size() != KNM.shape[1]: + # This works whether X_train is a SparsePoints or just a plain array + elif len(self.X_train) != KNM.shape[1]: raise ValueError( "KNM size mismatch {}!={}".format(self.X_train.size(), KNM.shape[1]) ) kernel = KNM - Y0 = self._get_property_baseline(managers) + Y0 = 0 + if self.self_contributions is not None: + Y0 = self._get_property_baseline(managers) + return Y0 + np.dot(kernel, self.weights).reshape((-1)) def predict_forces(self, managers, KNM=None): @@ -140,6 +286,10 @@ def predict_forces(self, managers, KNM=None): raise NotImplementedError( "force prediction only implemented for kernels with kernel_type=='Sparse'" ) + if self.kernel.target_type != "Structure": + raise NotImplementedError( + "force prediction only implemented for kernels with target_type=='Structure'" + ) if KNM is None: rep = self.kernel._representation gradients = compute_sparse_kernel_gradients( @@ -165,6 +315,31 @@ def predict_forces(self, managers, KNM=None): return -gradients + def predict_forces_with_gradient_kernel(self, managers, KNM_grad=None): + """Predict forces the "slow" way, with explicit gradient kernel + + Provided for compatibility with externally-computed features, + at least until we can figure out a consistent backpropagation + interface + """ + if KNM_grad is None: + rep = self.kernel._representation + KNM_grad = self.kernel(managers, self.X_train, (True, False)) + n_atoms = 0 + for manager in managers: + n_atoms += len(manager) + if 3 * n_atoms != KNM.shape[0]: + raise ValueError( + "KNM_grad size mismatch {}!={}".format(3 * n_atoms, KNM_grad.shape[0]) + ) + elif self.X_train.size() != KNM.shape[1]: + raise ValueError( + "KNM_grad size mismatch {}!={}".format( + self.X_train.size(), KNM_grad.shape[1] + ) + ) + return -1 * (KNM_grad @ self.weights).reshape((-1, 3)) + def predict_stress(self, managers, KNM=None): """Predict gradients w.r.t cell parameters, e.g. stress, associated with the atomic structures in managers. The stress is returned using the Voigt order: xx, yy, zz, yz, xz, xy. @@ -354,6 +529,7 @@ def train_gap_model( X_sparse, y_train, self_contributions, + solver="Normal", grad_train=None, lambdas=None, jitter=1e-8, @@ -428,6 +604,15 @@ def train_gap_model( jitter : double, optional small jitter for the numerical stability of solving the linear system, by default 1e-8 + solver: string, optional + method used to solve the sparse KRR equations. + "Normal" uses a least-squares solver for the normal equations: + (K_NM.T@K_NM + K_MM)^(-1) K_NM.T@Y + "RKHS" computes first the reproducing kernel features by diagonalizing K_MM + and computing P_NM = K_NM @ U_MM @ Lam_MM^(-1.2) and then solves the linear + problem for those (which is usually better conditioned) + (P_NM.T@P_NM + 1)^(-1) P_NM.T@Y + by default, "Normal" Returns ------- @@ -463,15 +648,12 @@ def train_gap_model( F /= lambdas[1] / delta Y = np.vstack([Y, F]) - KMM[np.diag_indices_from(KMM)] += jitter - - K = KMM + np.dot(KNM.T, KNM) - Y = np.dot(KNM.T, Y) - weights = np.linalg.lstsq(K, Y, rcond=None)[0] - model = KRR(weights, kernel, X_sparse, self_contributions) + ssolver = SparseGPRSolver( + KMM, regularizer=1, jitter=jitter, solver=solver, relative_jitter=False + ) # in current implementation KMM incorporates regularization so it's better to use an absolute jitter value + ssolver.fit(KNM, Y) + model = KRR(ssolver._weights, kernel, X_sparse, self_contributions) - # avoid memory clogging - del K, KMM - K, KMM = [], [] + del KNM, KMM, solver return model diff --git a/bindings/rascal/neighbourlist/__init__.py b/bindings/rascal/neighbourlist/__init__.py index d4b2afc84..fc430ec90 100644 --- a/bindings/rascal/neighbourlist/__init__.py +++ b/bindings/rascal/neighbourlist/__init__.py @@ -2,4 +2,6 @@ AtomsList, get_neighbourlist, convert_to_structure_list, + store_features_ase_atoms, + retrieve_features_ase_atoms, ) diff --git a/bindings/rascal/neighbourlist/structure_manager.py b/bindings/rascal/neighbourlist/structure_manager.py index 97b5b0d89..2d1fada2e 100644 --- a/bindings/rascal/neighbourlist/structure_manager.py +++ b/bindings/rascal/neighbourlist/structure_manager.py @@ -222,6 +222,76 @@ def get_distances(self): return self.managers.get_distances() +def store_features_ase_atoms(atoms_list, feature_matrix, key="features"): + """Store a feature matrix directly into a list of ASE Atoms + + This helps with compatibility and portability outside librascal + + Parameters + ---------- + atoms_list: list(ase.Atoms) + List of ASE Atoms to store the features into + + feature_matrix: np.ndarray, NxQ + Array of (atom-wise) features calculated for the atoms list. + First index is atoms, concatenated across structures. + Second index is features. + + key : str + Dictionary key under which to store the features. + WARNING: If features are already present under this key, + they will be overwritten! + + Returns + ------- + Returns the modified atoms list, but note that this also modifies + the atoms list directly! + """ + offset = 0 + for structure in atoms_list: + natoms = len(structure) + # TODO maybe this should be done with Atoms.add_array() or similar + structure.arrays[key] = feature_matrix[offset : offset + natoms] + offset += natoms + return atoms_list + + +def retrieve_features_ase_atoms(atoms_list, key="features"): + """Retrieve a feature matrix stored in a list of ASE Atoms + + Format is expected as stored by store_features_ase_atoms() + + Parameters + ---------- + atoms_list: list(ase.Atoms) + List of ASE Atoms to store the features into + + key : str + Dictionary key under which the features are stored. + + Returns + ------- + feature_matrix: np.ndarray, NxQ + Array of (atom-wise) features calculated for the atoms list. + First index is atoms, concatenated across structures. + Second index is features. + + Raises + ------ + IndexError + If the given key does not exist in one or more of the structures + (the first structure with the missing key is indicated) + + """ + features_matrix = [] + for idx, structure in enumerate(atoms_list): + try: + features_matrix.append(structure.arrays[key]) + except IndexError as ide: + raise IndexError(f"Key not found in structure number {idx:d}") from ide + return np.concatenate(features_matrix) + + def get_neighbourlist(structure, options): manager = NeighbourListFactory(options) manager.update(**structure) diff --git a/bindings/rascal/representations/spherical_covariants.py b/bindings/rascal/representations/spherical_covariants.py index 57edbab04..5393ae6de 100644 --- a/bindings/rascal/representations/spherical_covariants.py +++ b/bindings/rascal/representations/spherical_covariants.py @@ -314,10 +314,10 @@ def get_num_coefficients(self, n_species=1): * self.hypers["max_angular"] ) n_col *= 2 * self.hypers["covariant_lambda"] + 1 - return int(n_col * n_species ** 2 * self.hypers["max_radial"] ** 2) + return int(n_col * n_species**2 * self.hypers["max_radial"] ** 2) else: return ( - n_species ** 2 + n_species**2 * self.hypers["max_radial"] ** 2 * int( ( diff --git a/bindings/rascal/utils/cg_utils.py b/bindings/rascal/utils/cg_utils.py index 684451ae6..f5dcccb07 100644 --- a/bindings/rascal/utils/cg_utils.py +++ b/bindings/rascal/utils/cg_utils.py @@ -240,15 +240,12 @@ def compute_lambda_soap(spx, cg, lam, parity=0): continue if l2 - l1 > lam or l2 + l1 < lam: continue - lsoap[..., nl, :] = ( - cg.combine_einsum( - spx[..., lm_slice(l1)], - spx[..., lm_slice(l2)], - lam, - combination_string="ian,iAN->ianAN", - ) - * (1 if l2 == l1 else SQRT_2) - ) + lsoap[..., nl, :] = cg.combine_einsum( + spx[..., lm_slice(l1)], + spx[..., lm_slice(l2)], + lam, + combination_string="ian,iAN->ianAN", + ) * (1 if l2 == l1 else SQRT_2) nl += 1 return lsoap diff --git a/bindings/rascal/utils/filter.py b/bindings/rascal/utils/filter.py index 546712796..cadd422b4 100644 --- a/bindings/rascal/utils/filter.py +++ b/bindings/rascal/utils/filter.py @@ -1,8 +1,10 @@ import logging +from ase import Atoms import numpy as np from .io import BaseIO from ..models.sparse_points import SparsePoints from ..representations.spherical_invariants import SphericalInvariants +from ..neighbourlist import retrieve_features_ase_atoms LOGGER = logging.getLogger(__name__) @@ -158,7 +160,7 @@ def _split_feature_matrix_by_species(managers, X, sps): Parameters ---------- - managers : AtomsList + managers : AtomsList or list(ase.Atoms) list of atomic structures X : np.ndarray (2-D) feature matrix computed from managers; rows must correspond to atoms @@ -180,13 +182,42 @@ def _split_feature_matrix_by_species(managers, X, sps): X_per_species = {} global_species_list = [] for structure in managers: - global_species_list.extend([atom.atom_type for atom in structure]) + if isinstance(structure, Atoms): + global_species_list.extend(structure.get_atomic_numbers()) + else: + # Assuming rascal StructureManagerCollection + global_species_list.extend([atom.atom_type for atom in structure]) global_species_list = np.array(global_species_list) for sp in sps: X_per_species[sp] = X[global_species_list == sp] return X_per_species +class AtomsListWrapper: + + """Thin wrapper around a list of ASE Atoms objects to make it + compatible with the Filter utilities + """ + + def __init__(self, atoms_list): + self.atoms_list = atoms_list + + def __iter__(self): + return iter(self.atoms_list) + + def get_features(self, representation_key): + """Get the features stored in the list of atoms + + See librascal.neighbourlist.store_features_ase_atoms() for + information on how to store the features in the first place + + Instead of a representation manager, takes a simple string key + that is used to retrieve the features from the ASE Atoms' + arrays dictionaries + """ + return retrieve_features_ase_atoms(self.atoms_list, representation_key) + + class Filter(BaseIO): """ A super class for filtering representations based upon a standard @@ -326,10 +357,13 @@ def filter(self, managers, n_select=None): Returns ------- - SparsePoints or list(int) or dict + SparsePoints or 2-d array or dict Selected samples. The format depends on self.act_on - if it is "sample" or "sample per species", then a SparsePoints instance - is directly returned. If it is "feature", then it is a dictionary + is directly returned (in the case that 'managers' is a rascal + StructureManagerCollection -- if it is a AtomsListWrapper, the + sparse feature matrix itself is returned). + If it is "feature", then it is a dictionary containing the "coefficient_subselection" key that can be directly passed to the SphericalInvariants constructor. @@ -360,21 +394,36 @@ def filter(self, managers, n_select=None): key: val[: n_select[key]] for key, val in self.selected_sample_ids_by_sp.items() } - self.selected_ids = _indices_perspecies_manager_to_perstructure( - managers, selected_ids_by_sp, sps - ) - sparse_points = SparsePoints(self._representation) - sparse_points.extend(managers, self.selected_ids) + if isinstance(managers, AtomsListWrapper): + X = managers.get_features(self._representation) + X_by_sp = _split_feature_matrix_by_species(managers, X, sps) + # This splits the sparse points by species, which is what the + # internal rascal version does anyway + sparse_points = dict() + for sp in sps: + sparse_points[sp] = X_by_sp[sp][selected_ids_by_sp[sp]] + else: + # Assuming rascal StructureManagerCollection + self.selected_ids = _indices_perspecies_manager_to_perstructure( + managers, selected_ids_by_sp, sps + ) + sparse_points = SparsePoints(self._representation) + sparse_points.extend(managers, self.selected_ids) return sparse_points elif self.act_on == "sample": selected_ids_global = self.selected_sample_ids[:n_select] - self.selected_ids = _indices_manager_to_perstructure( - managers, selected_ids_global - ) - # The sparse points will be reordered since they're not per-species - # but the resulting object is still usable - sparse_points = SparsePoints(self._representation) - sparse_points.extend(managers, self.selected_ids) + if isinstance(managers, AtomsListWrapper): + X = managers.get_features(self._representation) + sparse_points = X[selected_ids_global] + else: + # Assuming rascal StructureManagerCollection + self.selected_ids = _indices_manager_to_perstructure( + managers, selected_ids_global + ) + # The sparse points will be reordered since they're not per-species + # but the resulting object is still usable + sparse_points = SparsePoints(self._representation) + sparse_points.extend(managers, self.selected_ids) return sparse_points elif self.act_on == "feature": if not isinstance(self._representation, SphericalInvariants): diff --git a/bindings/rascal/utils/io.py b/bindings/rascal/utils/io.py index cbcbe9b9b..f2bd022b6 100644 --- a/bindings/rascal/utils/io.py +++ b/bindings/rascal/utils/io.py @@ -1,6 +1,6 @@ import os import importlib -from collections import Iterable +from collections.abc import Iterable import numpy as np import json from copy import deepcopy diff --git a/bindings/rascal/utils/radial_basis.py b/bindings/rascal/utils/radial_basis.py index 75c342b64..ba9b8dbe3 100644 --- a/bindings/rascal/utils/radial_basis.py +++ b/bindings/rascal/utils/radial_basis.py @@ -94,7 +94,7 @@ def gto_width(sigma): ---Returns--- b: GTO (Gaussian) width """ - return 1.0 / (2 * sigma ** 2) + return 1.0 / (2 * sigma**2) def gto_prefactor(n, sigma): @@ -125,7 +125,7 @@ def gto(r, n, sigma): """ b = gto_width(sigma) N = gto_prefactor(n, sigma) - return N * r ** (n + 1) * np.exp(-b * r ** 2) + return N * r ** (n + 1) * np.exp(-b * r**2) def gto_overlap(n, m, sigma_n, sigma_m): diff --git a/examples/fit_gap_input_example.json b/examples/fit_gap_input_example.json new file mode 100644 index 000000000..b0a55c2fb --- /dev/null +++ b/examples/fit_gap_input_example.json @@ -0,0 +1,37 @@ +{ + "description": "Example fit of a SOAP-GAP model with energies and forces from an XYZ file", + "structure_filename": "yourfile.xyz", + "units": {"energy": "eV", + "length": "AA"}, + "structure_subset": ":50", + "soap_hypers": { + "soap_type": "PowerSpectrum", + "interaction_cutoff": 5.5, + "cutoff_smooth_width": 0.5, + "cutoff_function_type": "RadialScaling", + "cutoff_function_parameters": { + "rate": 1, + "scale": 3.5, + "exponent": 4 + }, + "max_radial": 8, + "max_angular": 6, + "gaussian_sigma_type": "Constant", + "gaussian_sigma_constant": 0.5, + "radial_basis": "GTO", + "normalize": true, + "compute_gradients": true + }, + "n_sparse": {"1": 100, "6": 250, "8": 250}, + "soap_power": 4, + "atom_energy_baseline": -9000.1, + "energy_delta": 1.0, + "energy_regularizer": 0.01, + "force_regularizer": 0.1, + "energy_parameter_name": "energy", + "force_parameter_name": "forces", + "working_directory": "gapfit_example", + "output_filename": "gap_model.json", + "warning.memory_required": "lots", + "warning.time_required": "not too long" +} diff --git a/examples/optimized_radial_basis_functions.ipynb b/examples/optimized_radial_basis_functions.ipynb index 7fd7a217c..61b498a30 100644 --- a/examples/optimized_radial_basis_functions.ipynb +++ b/examples/optimized_radial_basis_functions.ipynb @@ -17,7 +17,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -41,20 +41,9 @@ }, { "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "'/tmp/tmp_cv1an3n'" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "import urllib.request\n", "# a collection of distorted ethanol molecules from the ANI-1 dataset \n", @@ -69,7 +58,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -96,7 +85,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -115,18 +104,9 @@ }, { "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" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "%%time\n", "feats = spex.transform(frames).get_features_by_species(spex)" @@ -142,18 +122,9 @@ }, { "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" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "%%time\n", "cov = get_radial_basis_covariance(spex, feats)" @@ -161,18 +132,9 @@ }, { "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" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "%%time\n", "p_val, p_vec = get_radial_basis_pca(cov)" @@ -187,32 +149,9 @@ }, { "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" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "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", @@ -233,7 +172,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -242,7 +181,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -272,18 +211,9 @@ }, { "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" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "%%time\n", "feats_optimal = spex_optimal.transform(frames).get_features(spex_optimal)" @@ -298,7 +228,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -311,7 +241,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -320,32 +250,9 @@ }, { "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" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "for y in dvr:\n", " plt.plot(r_grid, r_grid*y, ls=\":\")\n", @@ -364,7 +271,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -378,7 +285,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -390,32 +297,9 @@ }, { "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" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "for y in gto:\n", " plt.plot(r_grid, r_grid*y, ls=\":\")\n", @@ -441,7 +325,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -467,20 +351,9 @@ }, { "cell_type": "code", - "execution_count": 22, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "True" - ] - }, - "execution_count": 22, - "metadata": {}, - "output_type": "execute_result" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "soap_hypers = get_optimal_radial_basis_hypers(soap_hypers, frames, expanded_max_radial=20)\n", "'RadialDimReduction' in soap_hypers['optimization']" @@ -495,7 +368,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -511,7 +384,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ diff --git a/examples/zundel_i-PI.ipynb b/examples/zundel_i-PI.ipynb index 9dec99a70..d8cd24b09 100644 --- a/examples/zundel_i-PI.ipynb +++ b/examples/zundel_i-PI.ipynb @@ -105,9 +105,9 @@ "\n", "from time import time\n", "\n", - "from rascal.models import Kernel, train_gap_model, compute_KNM\n", - "from rascal.representations import SphericalInvariants\n", - "from rascal.utils import from_dict, to_dict, CURFilter, dump_obj, load_obj" + "from rascal.models import gaptools, KRR\n", + "from rascal.utils import dump_obj, load_obj\n", + "from rascal.representations import SphericalInvariants" ] }, { @@ -181,6 +181,15 @@ " return f" ] }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "forces = extract_forces(frames, 'forces')" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -197,7 +206,49 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "def train_test_split(ids, n_train, frames_all, y_all, f_all):\n", + " \"\"\"Perform a train-test split\n", + " \n", + " Parameters\n", + " ----------\n", + " \n", + " ids: list(int), size N\n", + " Ordering (e.g. random shuffle) for selecting the split\n", + " n_train: int\n", + " Number of structures in the training set\n", + " frames_all: list(ase.Atoms), length N\n", + " List of all frames in the dataset\n", + " y_all: list(float) or 1-D array, length N\n", + " Set of all function values (energies) in the dataset\n", + " f_all: list or 3-D array, size (N, M, 3)\n", + " Set of all forces (negative gradients) in the dataset\n", + " M is the maximum number of atoms in any one structure\n", + " \n", + " Returns\n", + " -------\n", + " \n", + " ((list(Atoms): frames_train, 1-D array: y_train, 3-D array: f_train),\n", + " (list(Atoms): frames_test, 1-D array: y_test, 3-D array: f_test))\n", + " \"\"\"\n", + " train_ids = ids[:n]\n", + " test_ids = ids[n:]\n", + "\n", + " frames_train = [frames_all[ii] for ii in train_ids]\n", + " frames_test = [frames_all[ii] for ii in test_ids]\n", + " y_train = np.array(y_all)[train_ids]\n", + " y_test = np.array(y_all)[test_ids]\n", + " f_train = np.array(f_all).reshape(len(ids), 7, 3)[train_ids].reshape(-1, 3)\n", + " f_test = np.array(f_all).reshape(len(ids), 7, 3)[test_ids].reshape(-1, 3)\n", + " return ((frames_train, y_train, f_train), (frames_test, y_test, f_test))" + ] + }, + { + "cell_type": "code", + "execution_count": 7, "metadata": { "code_folding": [] }, @@ -206,39 +257,35 @@ "# Number of structures to train the model with\n", "n = 800\n", "\n", - "global_species = set()\n", - "for frame in frames:\n", - " global_species.update(frame.get_atomic_numbers())\n", - "global_species = np.array(list(global_species))\n", "\n", "# Select randomly n structures for training the model\n", "ids = list(range(N_dataset))\n", "np.random.seed(10)\n", "np.random.shuffle(ids)\n", - "\n", - "train_ids = ids[:n]\n", - "frames_train = [frames[ii] for ii in ids[:n]]\n", - "y_train = [energies[ii] for ii in ids[:n]]\n", - "y_train = np.array(y_train)" + "f = extract_forces(frames, 'forces')\n", + "((frames_train, y_train, f_train),\n", + " (frames_test, y_test, f_test)) = train_test_split(ids, n, frames, energies, forces)" ] }, { - "cell_type": "code", - "execution_count": 6, + "cell_type": "markdown", "metadata": {}, - "outputs": [], "source": [ - "f_train = extract_forces(frames_train, 'forces')\n", - "f = extract_forces(frames, 'forces')" + "We also define an \"atomic energy baseline\", which defines a constant contribution for each atom type in order to shift the mean of the potential energy function close to zero and make it easier to fit." ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "# Atomic energy baseline\n", + "global_species = set()\n", + "for frame in frames:\n", + " global_species.update(frame.get_atomic_numbers())\n", + "global_species = np.array(list(global_species))\n", + "\n", "atom_energy_baseline = np.mean(energies)/(frames[0].get_global_number_of_atoms())\n", "energy_baseline = {int(species): atom_energy_baseline for species in global_species}" ] @@ -249,14 +296,14 @@ "source": [ "Now we proceed with the actual calculation of the SOAP vectors of our training set. We need to specify an hyperparameters dictionary, which `librascal` uses to compute the structural features. The meaning of each hyperparameter and how to correctly set them is reported in [the `SphericalInvariants` documentation](https://cosmo-epfl.github.io/librascal/reference/python.html#rascal.representations.SphericalInvariants). These hyperparameters can be used as default values, but a careful optimization of the interaction cutoff might be required in the case the material under investigation might present some mid- or long-range order. \n", "\n", - "For the actual calculation of the SOAP features, we first create an object of the `SphericalInvariants` class, defined by its hyperparameters. The methods that we then need to use are `transform()}`, which yields a second object called the `manager` containing the representation, while `get_features()` converts it into an $NxM$ matrix, $N$ being the number of atomic environments in the training set and M the number of features per each environment. \n", + "For the actual calculation of the SOAP features, we first create an object of the `SphericalInvariants` class, defined by its hyperparameters. The methods that we then need to use are `transform()}`, which yields a second object called the `manager` containing the representation, while `get_features()` converts it into an $NxM$ matrix, $N$ being the number of atomic environments in the training set and M the number of features per each environment.\n", "\n", - "At this point, the `compute_gradients` hyper should be set to `False`. For now, we will only use the SOAP representations (no gradients!) of the training set structures to select a sparse set using the CUR decomposition. Setting it to `True` would require Librascal to compute all the gradients of the SOAP representation w.r.t. atomic coordinates, thus making the structural managers unnecessarily memory expensive. We will instead compute later on the gradients of the sparse kernels using the `compute_KNM` method when we fit the GAP model." + "Finally, note that we first request the calculation of descriptors _without_ gradients (`compute_gradients=False`) to avoid using too much memory. We will create a version _with_ gradients later on when we need to make a model that computes forces." ] }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ @@ -284,10 +331,7 @@ " )\n", " ),\n", " compute_gradients=False\n", - " )\n", - "\n", - "\n", - "soap = SphericalInvariants(**hypers)" + " )" ] }, { @@ -296,44 +340,25 @@ "source": [ "The following snippet computes the descriptors and the managers for each frame, which will represent the expensive part of the calculation, in terms of memory usage.\n", "\n", - "NOTE: the `librascal` structure manager only works if the atoms have been wrapped within the cell provided in the input file using e.g. `ase.Atoms.wrap()`, or one of the structure preprocessors provided in `rascal.neighbourlist.structure_manager` module (useful especially for non-periodic structures)." + "NOTE: the `librascal` structure manager only works if the atoms have been wrapped within the cell provided in the input file using e.g. `ase.Atoms.wrap()` (which is automatically called if `auto_wrap==True`, as below) or one of the structure preprocessors provided in `rascal.neighbourlist.structure_manager` module (useful especially for non-periodic structures)." ] }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "metadata": {}, "outputs": [ - { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "d5ce53e036fa4f378480913fc7369c6a", - "version_major": 2, - "version_minor": 0 - }, - "text/plain": [ - "HBox(children=(HTML(value=''), FloatProgress(value=0.0, max=800.0), HTML(value='')))" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, { "name": "stdout", "output_type": "stream", "text": [ - "\n", - "Execution: 0.12206697463989258 s\n" + "Execution: 0.3649289608001709 s\n" ] } ], "source": [ - "managers = []\n", - "for f in tqdm(frames_train):\n", - " f.wrap(eps=1e-18)\n", - "\n", "start = time()\n", - "managers = soap.transform(frames_train)\n", + "soap, feature_list = gaptools.calculate_features(frames, hypers, auto_wrap=True)\n", "print (\"Execution: \", time()-start, \"s\")" ] }, @@ -341,183 +366,294 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "At this point, we can define the **sparse set**, i.e. the set of (ideally) \"maximally diverse\" environments that will be used as basis points of the kernel ridge regression (KRR, mostly equivalent to GAP) model. We can choose the number of sparse environments in `librascal` per each atomic species, by defining a dictionary containing (atomic number, number of environments) pairs. The CURFilter class then selects out the most \"representative\" environments according to the representation that we provide as the input object and by applying the CUR decomposition [3].\n", + "At this point, we can also define the **sparse set**, i.e. the set of (ideally) \"maximally diverse\" environments that will be used as basis points of the kernel ridge regression (KRR, mostly equivalent to GAP) model. We can choose the number of sparse environments in `librascal` per each atomic species, by defining a dictionary containing (atomic number, number of environments) pairs. The CURFilter class then selects out the most \"representative\" environments according to the representation that we provide as the input object and by applying the CUR decomposition [3].\n", "\n", "[3]: 1 M.W. Mahoney and P. Drineas, PNAS 106, 697 (2009). https://doi.org/10.1073/pnas.0803205106" ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 11, "metadata": { - "code_folding": [] + "scrolled": true }, + "outputs": [], + "source": [ + "n_sparse = {1:50, 8:100}\n", + "X_sparse = gaptools.sparsify_environments(soap, feature_list, n_sparse, selection_type=\"CUR\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As shown in eq. $(1)$, in order to fit a GAP potential we need to compute the kernels of all the training structure descriptors and the sparse set, as well as the gradients w.r.t. the atomic positions, if we wish to fit the atomic forces. We do so by using the `compute_kernels` utility of `gaptools`; note that this can also take some time. (Note: Yes, this does need a version of the representation that can compute gradients, but this is handled internally; the representation gradients are calculated one by one for each structure in order to avoid using too much memory.)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "The number of pseudo points selected by central atom species is: {1: 50, 8: 100}\n", - "Selecting species: 1\n", - "Reconstruction RMSE=1.463e+00\n", - "Selecting species: 8\n", - "Reconstruction RMSE=1.577e-02\n" + "Kernel compute time: 2.532533884048462 s\n" ] } ], "source": [ - "# select the sparse points for the sparse kernel method with CUR on the whole training set\n", - "n_sparse = {1:50, 8:100}\n", - "compressor = CURFilter(soap, n_sparse, act_on='sample per species')\n", - "X_sparse = compressor.select_and_filter(managers)" + "start = time()\n", + "(k_obj, K_sparse_sparse, K_full_sparse, K_grad_full_sparse) = gaptools.compute_kernels(\n", + " soap,\n", + " feature_list,\n", + " X_sparse,\n", + " soap_power=2\n", + ")\n", + "print(\"Kernel compute time: \", time()-start, \"s\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "As shown in eq. $(1)$, in order to fit a GAP potential we need to compute the kernels of all the training structure descriptors and the sparse set, as well as the gradients w.r.t. the atomic positions, if we wish to fit the atomic forces. We do so by using another key structure of librascal: the `Kernel` class. We first build a kernel object containing the representation (SOAP), which we then use to compute the sparse kernel matrix $K_{NM}$ between the training set and the sparse set and its gradients using the `compute_KNM` method.\n", - "\n", - "Finally, we group everything together to build the GAP model, which basically uses the kernel matrices to regress the weights $\\{\\alpha_s\\}_{s=1}^M$ on each sparse environment. The `lambdas` are the regularization parameters of the KRR (for both energies and forces), while `jitter` is a small parameter that enables its numerical convergence. \n", - "\n", - "The output is a KRR object, which we can save as .json file for future use. For this last bit we use the `dump_obj` method (part of the `rascal.utils.io` module)." + "The \"sparse-sparse\" kernel is between all the sparse environments with themselves, the \"full-sparse\" is between each structure (summed over the atoms) and the sparse envronments, and \"grad_full_sparse\" is the _gradient_ of the full-sparse kernel with respect to each atom in the respective structure (which is what we need to train with forces)." ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 13, "metadata": {}, "outputs": [ { "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "27249c466afd4deb8c92ee912ee53c82", - "version_major": 2, - "version_minor": 0 - }, "text/plain": [ - "HBox(children=(HTML(value='Computing kernel matrix'), FloatProgress(value=0.0, max=800.0), HTML(value='')))" + "(150, 150)" ] }, + "execution_count": 13, "metadata": {}, - "output_type": "display_data" - }, + "output_type": "execute_result" + } + ], + "source": [ + "K_sparse_sparse.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "scrolled": true + }, + "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "Execution: 1.5349509716033936 s\n" - ] + "data": { + "text/plain": [ + "(1000, 150)" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ - "zeta = 2\n", - "\n", - "start = time()\n", - "hypers['compute_gradients'] = True\n", - "soap = SphericalInvariants(**hypers)\n", - "kernel = Kernel(soap, name='GAP', zeta=zeta, target_type='Structure', kernel_type='Sparse')\n", - "\n", - "KNM = compute_KNM(tqdm(frames_train, leave=True, desc=\"Computing kernel matrix\"), X_sparse, kernel, soap)\n", - "\n", - "model = train_gap_model(kernel, frames_train, KNM, X_sparse, y_train, energy_baseline, \n", - " grad_train=-f_train, lambdas=[1e-12, 1e-12], jitter=1e-13)\n", - "\n", - "# save the model to a file in json format for future use\n", - "dump_obj('zundel_model.json', model)\n", - "np.savetxt('Structure_indices.txt', ids)\n", - "print (\"Execution: \", time()-start, \"s\")" + "K_full_sparse.shape" ] }, { - "cell_type": "markdown", + "cell_type": "code", + "execution_count": 15, "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(21000, 150)" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "## Assessment of the model" + "K_grad_full_sparse.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "To perform a basic assessment of the model we have fitted, we need to predict the properties (energies and forces) of a test set. In the calculation of the model that we have fitted previously, we have randomly splitted the original dataset in a training set of 800 structures and a test set of another 200.\n", - "So first we load the model and the indices corresponding to the shuffled dataset: the first 800 of those will correspond to the training set, the last 200 to the test set. " + "(This would be a good place to save the kernels to disk if you're planning on doing anything with them afterwards!)" ] }, { - "cell_type": "code", - "execution_count": 12, + "cell_type": "markdown", "metadata": {}, - "outputs": [], "source": [ - "n = 800\n", - "model = load_obj('zundel_model.json')\n", - "ids = np.loadtxt('Structure_indices.txt')" + "Let's get the subset of the full-sparse kernel that corresponds only to the training set:" ] }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 16, "metadata": {}, "outputs": [], "source": [ - "train_ids = [int(i) for i in ids[:n]]\n", - "test_ids = [int(i) for i in ids[n:]] \n", - "\n", - "frames_train = [frames[ii] for ii in train_ids]\n", - "frames_test = [frames[ii] for ii in test_ids]\n", - "\n", - "y_train = [energies[ii] for ii in train_ids]\n", - "y_train = np.array(y_train)\n", - "y_test = [energies[ii] for ii in test_ids]\n", - "y_test = np.array(y_test)" + "K_train_sparse, K_grad_train_sparse = gaptools.extract_kernel_indices(\n", + " ids[:n], K_full_sparse, K_grad_full_sparse, natoms=7\n", + ")" ] }, { - "cell_type": "markdown", + "cell_type": "code", + "execution_count": 17, "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(800, 150)" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "Let us now compute the predictions on the test set, using the `predict()` and `predict_forces()` methods of the `KRR` class. At this point we need to compute the SOAP representation of the test set structures. It is important to stress however that this will not cause any issue regarding memory usage, because all we need is the predictions, so we can compute the managers of the test set structures one by one and calculate the predictions right away. Instead for the GAP fitting we need to store ALL the structure managers of the training set to perform the regression (which causes a large RAM usage)." + "K_train_sparse.shape" ] }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 18, "metadata": {}, "outputs": [ { "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "080b3e3ced374a8898f4ba9277884fba", - "version_major": 2, - "version_minor": 0 - }, "text/plain": [ - "HBox(children=(HTML(value=''), FloatProgress(value=0.0, max=200.0), HTML(value='')))" + "(16800, 150)" ] }, + "execution_count": 18, "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n" - ] + "output_type": "execute_result" } ], + "source": [ + "K_grad_train_sparse.shape" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Finally, we group everything together to build the GAP model, which basically uses the kernel matrices to regress the weights $\\{\\alpha_s\\}_{s=1}^M$ on each sparse environment. The regularization parameters of the KRR (for both energies and forces) help avoid overfitting and account for small statistical variations in the training data points. Finally, we use the per-atom energy baseline defined above to shift the energy and make sure the model is predicting about a mean close to zero." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "weights = gaptools.fit_gap_simple(\n", + " frames_train,\n", + " K_sparse_sparse,\n", + " y_train,\n", + " K_train_sparse,\n", + " energy_regularizer_peratom=1E-3,\n", + " forces=f_train,\n", + " kernel_gradients_sparse=K_grad_train_sparse,\n", + " energy_atom_contributions=energy_baseline,\n", + " force_regularizer=1E-2,\n", + " solver_type=\"RKHS\"\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We use the weights to build a KRR object, which we can save as .json file for future use. For this last bit we use the `dump_obj` method (part of the `rascal.utils.io` module)." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "model = KRR(weights, k_obj, X_sparse, energy_baseline,\n", + " description=\"GAP for the Zundel cation\")\n", + "dump_obj('zundel_model.json', model)\n", + "np.savetxt('Structure_indices.txt', ids)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Assessment of the model" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To perform a basic assessment of the model we have fitted, we need to predict the properties (energies and forces) of a test set. In the calculation of the model that we have fitted previously, we have randomly splitted the original dataset in a training set of 800 structures and a test set of another 200. We must be careful to use the same training and testing set as defined above (under the section \"Building a GAP model\") and not re-shuffle the dataset!" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "model = load_obj('zundel_model.json')\n", + "\n", + "# Uncomment the lines below if you are starting from this cell\n", + "# n_test = 800\n", + "# ids = np.loadtxt('Structure_indices.txt')\n", + "# (_, (frames_test, y_test, f_test)) = train_test_split(ids, n_test, frames, energies, forces)\n", + "# k_obj = model.kernel" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let us now compute the predictions on the test set, using the `predict()` and `predict_forces()` methods of the `KRR` class. At this point we need to compute the SOAP representation of the test set structures. It is important to stress however that this will not cause any issue regarding memory usage, because all we need is the predictions, so we can compute the managers of the test set structures one by one and calculate the predictions right away." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [ + "hypers_grad = hypers.copy()\n", + "hypers_grad['compute_gradients'] = True\n", + "soap_grad = SphericalInvariants(**hypers_grad)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], "source": [ "# make predictions on the test set\n", "y_pred = []\n", "f_pred = []\n", "\n", "for f in tqdm(frames_test):\n", - " positions = f.get_positions()\n", - " f.set_positions(positions+[1,1,1])\n", - " f.wrap(eps=1e-18)\n", - " m = soap.transform(f)\n", + " f.wrap()\n", + " m = soap_grad.transform(f)\n", " y_pred.append(model.predict(m))\n", " f_pred.append(model.predict_forces(m))\n", "\n", @@ -525,15 +661,6 @@ "f_pred = np.array(f_pred)" ] }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [], - "source": [ - "f_test = extract_forces(frames_test, 'forces')" - ] - }, { "cell_type": "markdown", "metadata": {}, @@ -553,16 +680,17 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "RMSE = 30.087996494496597 meV\n", + "RMSE = 30.709999687368843 meV\n", "Sigma test set = 0.274800153468654 eV\n", - "%RMSE = 10.949046466936812 %\n" + "%RMSE = 11.175393936187115 %\n", + "force RMSE = 0.14696660656225152 eV/A\n" ] } ], @@ -572,14 +700,19 @@ "score = get_score(y_pred, y_test)\n", "RMSE = score['RMSE']\n", "sigma_test = np.std(y_test)\n", + "\n", + "score = get_score(f_test.flatten(), f_pred.flatten())\n", + "fRMSE = score['RMSE']\n", + "\n", "print(\"RMSE = \", RMSE*1000.0, \"meV\")\n", "print(\"Sigma test set = \", sigma_test, \" eV\")\n", - "print(\"%RMSE = \", RMSE/sigma_test*100.0, \" %\")" + "print(\"%RMSE = \", RMSE/sigma_test*100.0, \" %\")\n", + "print(\"force RMSE = \", fRMSE, \"eV/A\")" ] }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 25, "metadata": {}, "outputs": [ { @@ -588,13 +721,13 @@ "Text(0, 0.5, 'reference energies [eV]')" ] }, - "execution_count": 17, + "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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jzrk89sgjQXG9v/4VfvSjYMSSJ4e8k04n9Z0EVxOJIQQvAReledwJ7bSZZWYjw8c1AJIKgJuAE4FS4HRJpWmczzmX7/77X/jc54LHgQcG60P//OfwgQ/kOjKXQjoJosjMHgTiAGYWA5raO8jMngPe3YWYRgOvmNlrZrYNuB84ZRdexzmXL8yCW0mlpfCvfwWL+MyfDyNH5joy14Z0EsRGSfsDBiBpLNCQofOPk7RY0hOShoXbBgBvJ7WpDbelJOk8SdWSqvOiJIBzbntvvAEnnABnngnDhgVrNVx2mVde7QTSSRDfA6YCh0qaA9wNfCsD514IHGxmI4A/AH8Pt6eamWOtvYiZ3WZmZWZW1q9fvwyE5ZzLiHgc/vAHGD48mN9w443BKm9DhuQ6MpemdhcMMrOFko4DhhD88l5hZu/t7onNbH3Sz9Mk3SypiOCKYVBS04HAqt09n3OuAy1fHiz/OWdOcPVwyy1w8MG5jsrtpFavICSNSvxsZjEze97MliUnh+Q2O0vSAYkigJJGh7GsBaqAwyQdImlPYArBFYxzLt+9914wj2HECHjxRbj7bpg2zZNDJ9XWFcRfJE2i7QWD/gwcnWqHpPuASUCRpFrgKmAPADO7haAQ4DckxYDNwBQzMyAm6UKCkVMFwB1m9vxOvCfnXC4sXBgU11u0iPjnPkf9VVdRPGzYbtVzyuuFi7qBthJEX6CGthNEq73CZnZ6Wyc2sxuBG1vZNw1fqc65zmHzZrjmGrj2WujXj/jDDzP5hhuIHn30bi04lLcLF3UjCv5o7xrKysqsuro612E4133Mnh1cNbz0Epx1FvzmN9Rt28bAgQOJxWIUFhZSW1tLSUnJTr90XV1dRl7HtU1SjZmVpdrn6dg5t/MaG+HCC2HCBNi2DZ55Jlgbet99M7bgUF4tXNRNtTuKyTnntvPEE/D1r0NtLVx0Efz0p9C7d/PuTC04lDcLF3VjniCcc+lZuxa++92gftIRRwRDWMeNS9k0seDQ7srU67hd0+4tJkkVknqFP58h6TpJPmbNue7CDB56KCiTcd99cMUV8J//tJocXNeRTh/EH4FNkkYAlwBvEsymds51datXB+tBf+ELMGhQUFzvmmugR49cR+Y6QDoJIhbOTzgF+L2Z/R7w1Tyc68rM4I47gltJTz4Jv/41zJsXTIBz3UY6fRCNkn4IfBmYEJbj9ipbznVVr70WdEL/+98wcSLcfjscfniuo3I5kM4VxGnAVuAsM/svQWXVa7MalXOu4zU1wfXXw5FHBqW4//hHqKz05NCNpVOs77+SHgEOCzetAR7LalTOuY71wgvBhLd58+Ckk4LieoMGtX+c69LSGcV0LvAwcGu4aQDvl+Z2znVm27YF8xiOPhpefhnuuSdY0MeTgyO9PogLCFZ5mw9gZi9L8imNznV21dXBVcOSJTBlCvz+9+CzlV2SdPogtoZLfwIgqZA2FvBxzuW5TZvgkktgzBji9fXU3XUXdu+9nhzcDtJJEDMl/QjYS9JHgYeAf2Y3LOdcVsycGQxVvfZa4medxeRDDmHg2WczadIk4vF4rqNzeSadBHEZQVnvpcDXCcpw/zibQTnnMmz9evjGN2DSpGAp0Gefpf5nPyO6YAGxWIxoNIqv6e5aSmcUUxy4PXw45zqbxx+H88+HVavge98LOqV79qTYjPLy8ub1Frxaqmup1QQh6UEz+4KkpaToczCzo7IamXNu96xZE1Rb/dvfYNgwePhhGDOmebdXS3XtaesK4jvhv5/siECccxliBg88AN/6FjQ0wFVXwY9+BHvuuUNTr5bq2tJqH4SZrQ7/fTPVo70XlnSHpHckLWtl/5ckLQkf0bAYYGLfG5KWSlokyZeIcy5JPB6nrq6OlKtBrlwJn/40nH468cGDqXv6aeyqq1ImB+fak85EuUZJ61s83pb0mKQPtnHoncAJbex/HTguvFX1U+C2Fvsnm9nI1pbCc647SqzTPHDgwO1HHpkFNZNKS+GZZ4hfey2T99qLgR/9qI9Qcrus3TWpJf0EWAXcCwiYAhwArAC+YWaT2jh2MPAvMxvezjn2BZaZ2YDw+RtAmZmtSfeNgK9J7bq+lOs0b9gA554b1E2aPBluv5263r19PWeXlt1dk/oEM7vVzBrNbL2Z3QacZGYPAPtmKMazgSeSnhvwtKQaSee1daCk8yRVS6r2YXquq9tuneZx4yi+556guF5NDdx2Gzz7LBx6qK/n7DIinQQRl/QFSZHw8YWkfbs9o1rSZIIEcWnS5gozGwWcCFwgaWJrx5vZbWZWZmZl/fr1291wnMtriZFHtc88w4wtW9APfgAf+UhQbO/ccyEcidTcrraWGTNm+Aglt0vSSRBfIlgL4h2gLvz5DEl7ARfuzsklHQX8CTjFzNYmtpvZqvDfdwgqx47enfM412Vs20bkmmso+djH0OuvB0uA/uMfMGBAc5NEJ7YkSkpKPDm4XdZmgggXB/qGmZ1sZkVm1i/8+RUz22xms3f1xJIOAh4FvmxmLyVt7yWpT+Jn4GNAypFQznUrCxbAqFHwk5/A5z8PL74YFNlLSgCtdmI7twvaTBBm1gQcsysvLOk+YC4wRFKtpLMlnS/p/LDJlcD+wM0thrOWALMlLQYWAI+b2ZO7EoNz+a7NIasJmzbB978P48bBunXwz38Gk9+KinZoWl9fTzQa9fIZLiPSKff9H0lTCYr0bUxsNLNH2zrIzE5vZ/85wDkptr8G+MK3rstL/LWfKHVRWVlJJNLib7bKSjjnnGAZ0PPPh1/9Cvbeu9XXTHROe/kMlwnpJIj9gLXA8UnbjOD2kHNuF6X6a795KGpDA1x8cTC34UMfghkz4Ljj2n1NL5/hMimdYn1ndkQgznU3qf7aj8fj1N9zD8WXXYbq6oIkcfXV0LNn2q/r5TNcprSbICQdDvwRKDGz4eHIo0+Z2c+yHp1zXVjLv/atro7JRx1FtL6e8p49qZw7l8hoH8DnciedYa63Az8E3gMwsyUEs6mdc7spEolQUlyM7r2X+tJSovX1xIDotm3UDRrUfge2c1mUToLoaWYLWmyLZSMY57qdt9+Gk0+GM86g+PDDKS8ra579fNppp/lwVZdT6XRSr5F0KOGsaUmfA1ZnNSrnurp4PCiNcckl0NQE11+PLryQSon6+nrMjEGDBqXuwHaug6STIC4gqLQ6VNJKgiqsZ2Q1Kue6spdfDspizJwJH/5wkCg+GBRGjgAlJSWYr/bm8kA6o5heAz4SzmqOmFlj9sNyrguKxeB3v4Mrr4QePeDPf4Yzz9xuJnSCD1d1+SCdUUw9gM8Cg4HCxBfVzK7JamTOdSWLF8PZZwdVV085BW6+GQ48sM1DfLiqy7V0Oqn/AZxC0DG9MenhnGvP1q1wxRVQVhZ0SD/4IDz2WLvJwbl8kE4fxEAza2tlOOdcKnPnBlcNL74IX/kKXHcd7L9/rqNyLm3pXEFEJR2Z9Uic6yo2boSLLoKKCtiwAaZNg7vu8uTgOp10riDGA1+T9DqwlWDZUQvXknau24rH4+/PgjYL1mCYNYuSSy5Bb74JF1wAv/wl9OmT61Cd2yXpJIgTsx6Fc51MLBZj4sSJVFVVMW7cOIjFmD13LgZM6NGDGTNmEEmjuJ5z+SydYa5vShoPHGZmf5HUD+id/dCcy0/xeJwJEyYwb948AKJz5kA83rz+bjQWo37oUHz8kevs2u2DkHQVwXrRPww37QHck82gnMtn9fX1VFVVNT8fEY9T3rMniZkKPrHNdRXpdFKfCnyKcGhruF6031R13VZxv35UfOhDRAj+R1gSicCoUbxdW8vq1auZOXOmT2xzXUI6CWKbBeUkE7WYemU3JOfy2FtvoU98gsoVK1g8YgSbCwqIxePMnTePwsJCDjjgAE8OrstIJ0E8KOlWYB9J5wL/JigB3iZJd0h6R9KyVvZL0g2SXpG0RNKopH0nSFoR7rss3TfjXNbE43DTTTBsGMyaReSGGxhWU0N5RUVz9VW/reS6mnQ6qX8j6aPAemAIcKWZPZPGa98J3Ajc3cr+E4HDwscYgkWJxkgqAG4CPgrUAlWSpprZC2mc07mMiMfjwbBViZJ169C558Ls2fDRjwbF9QYPRuD1klyXls4wV8KEkE5SSD7mOUmD22hyCnB3ePtqnqR9JPUnqPn0SlgkEEn3h209QbgOEY/HmTx5MrNmzcLMmADM6NuXyF/+Al/96nbF9bxekuvK0rnFlC0DgLeTnteG21rbnpKk8yRVS6qur6/PSqCu60hcGbS1Slt9fT3ROXOa20SB+lmz4GtfS1l51bmuKpcJItX/adbG9pTM7DYzKzOzsn79+mUsONf1JK4M2lylbcsWin//e8qbmt4ftjphAsXDh3dorM7lg7RuMUnaCzjIzFZk8Ny1wKCk5wOBVcCerWx3brfU19cTjUZbX6VtzhziZ51F/UsvMf0rX+G/F1/Mu2YMGzbM+xdct5TORLmTgUXAk+HzkZKmZuDcU4GvhKOZxgINZrYaqAIOk3SIpD2BKWFb53ZLcXEx5eXlO4w6iq9fT90559A0fjyT33yTgQUFHP/GG5z+zW8yatQoJk+eTCwWa/fWlHNdTTpXEFcDo4EZAGa2qJ3OZwAk3QdMAook1QJXEczCxsxuAaYBJwGvAJuAM8N9MUkXAk8BBcAdZvb8Trwn51JKtUpb/IknmHzqqUS3buXYAw5gQX09TU1NRKNRzIympibmzJnTXHepvLycyspKIpFc3p11rmOkkyBiZtaws5fYZnZ6O/uNYL3rVPumESQQ5zJmu+qra9fyzgUXYA8+SJRgNayqNWs49thjqa6upry8HDNj7ty5lJWVUVVV1fqtKee6qHQSxDJJXwQKJB0GfJtgYIdzeS8Wi7F8+XKGDh3K8ccfTzQaZdxhhxF59VWi773H2IEDKTvwQBZUV1NWVsasWbNYu3Ztcwnv+vp6+vXrx+TJk4lGoz4hznUrau+eqqSewOXAx8JNTwE/M7MtWY5tp5WVlVl1dXWuw3B5IhaLUVRURENDA3369KGxsbF5XwHQlPi5oICePXuyefPmVm8hJV99eIe160ok1ZhZWap97d5INbNNZna5mR0bPn6cj8nBuZaWL19OQ0MDwHbJAaBszBgKCgqQRFNTE42NjdvdQmopMSHOk4PrTtIZxfSMpH2Snu8r6amsRuVcBgwdOpQ+vYLaki3LDz/66KPU1tYyYcIECgoK6Nu3r9dUcq6FdPogisxsXeKJmf1Pkv8f5PJS4lZQ0b778uHSUho3bgRg+MEHEy8poaq6moqKCvr377/dqKaioiLWrFnjt5CcS5JOgohLOsjM3gKQdDBtzGx2LlcSM6Wjc+ZQttdeVG/Y0Lxv7ptvUrhyJWPGjKGysrI5CSTXUvKRSc5tL53B3JcDsyX9VdJfged4f3U55/JCPB7nhcWLic6eTaypiaoNGyg79NDtrgZisRhVVVWsWbMmh5E613mk00n9JDAKeAB4EDjGzLwPwuWNeDzO5GOPZeSoUfSKxymUqBg3jtkrVrBy5UpWrVrFxIkTvY/BuZ2UVi0moAfwbti+VBJm9lz2wnIuTZs3U3/JJUQXLqQJ2BCJsGjx4ub6Sf379wd83QbndkW7CULSr4DTgOeBRPlLI7jV5FxOxONx6qdOpegHP8BefZVxJSXMXbuW8vLylMX1fN0G53ZeOlcQnwaGmNnWLMfiXFri69YxubSUOatX01tiY0EB4w4/nJobb2T48OF+heBchqTTSf0aYZE95zpKy4V9mp9Pm0b9sGFEV6+mCWgwI9bUxKxZs5orr6Zc58E5t9PSSRCbgEWSbpV0Q+KR7cBc99VyYZ9t27ZRMXo0Aw44gEmf+ARFe+9N+ciRRCIRCgoKmo9LVGH1lQWdy4x0bjFNxddjcB2o5cI+44YMYeEbbwAwG/jv449jX/saQPPVgiQikUjzKCWvneTc7ms3QZjZXVlaUc65lIqKiigrK2P+vHnEYrHm5ADBKIkjRo5k48aNzckhMXz1gQceoKSkBDPbrvqqr9/g3K7J5YpyzjVL9DG89957jB8/nvnz5jVP1xds9wu+sbGRESNGUFhYyIQJE3j77beZMWMGBxxwAJJSLi3qnNt56fxZdTXBinLrIFhRDjgkaxG5bie5z2H/ffdlXlJyiEQijB4zhrfeeos+fd4vude7d2/eeustZs6c2ZwYElpbWtQ5t3N2dUU5r8XkMiIej7Ns2bLmv/gbY7HmfXt94ANs3rKFBQsW8MUvfpHnn3+eQw45hKamJubOnUskEknZv5BqaVHn3M5L5wpiuxXlJP2BNFeUk3SCpBWSXpF0WYr9F0taFD6WSWqStF+47w1JS8N9vgpQJ5W4ddTU1LTdsNXEvkmTJjFixAhisRgC+iSNStq8JVh2xMyIRqPsscceVFRU7HBl0HJILPj6Dc5lQjoJ4lvAMGArcC/QAFzU3kGSCoCbgBOBUuB0SaXJbczsWjMbaWYjCQoAzjSzd5OaTA73p1ztyOW3xK2jAQMGsP/++zcPW43FYtTV1fFObS3R2bOb2xvQ2NSU8rV69epFv379qKyspLa2lhkzZiBphyGxPgfCucxpM0GEv+Sn7uKKcqOBV8zsNTPbBtwPnNJG+9OB+9KO3OW9RGdxU1MTDQ0NzZ3GEyZMYOCAAZx2xBGUtbPkbcKGDRtYs2bNDlcG3iHtXPa0mSDMrAnYJKnvLrz2AODtpOe14bYdhOtenwA8knx64GlJNZLOa+0kks6TVC2p2n855JdEZ3Hyim3HjhpF1fz5xJqamLNpE7f+7neMHj261b6EsWPHUlhYSEVFRcrOZu+Qdi570umk3gIslfQMsDGx0cy+3c5xqW7+tvbn4snAnBa3lyrMbFW4et0zkpanqiBrZrcBtwGUlZV553keSXQWJ/oHInPnUnzJJUw2Yw7Qe++9Kbv4YsrLy6mtrWXKlCnMnTuXnj17snHjRioqKpg+fXqbK715h7Rz2ZNOgng8fOysWmBQ0vOBwKpW2k6hxe0lM1sV/vuOpMcIbll5Bdk81dbM5Smf/zzRaJSjzPhz//48+/TTLO/fn6OPPrr51lBBQQEzZsxIufxne1VYvVKrc9mRzoJBdxEsFDTPzO5KPNJ47SrgMEmHSNqTIAnsMMEuvH11HPCPpG29JPVJ/Ax8DFiWzhtyHS9VR3EsFmPZsmXU3XMP0TlziJmxEDh69Wr2++xnGTJkyA63hhK/6AsKCnwEknN5IJ31IE4GfgPsCRwiaSRwjZl9qq3jzCwm6ULgKaAAuMPMnpd0frj/lrDpqcDTZrYx6fAS4LHwF0QhcG+4sp3LQy07ipcsWcKkiRNpaGxkb4LVpmJJ7RsbG1mxYoXfGnIuz8naGUUiqQY4HphhZkeH25aa2ZEdEN9OKSsrs+pqnzLRURK3lfbff3+KiopoaGigoKCAeFNTmzMp+/Tpw7p167w+knN5QFJNa1MJ0vk/NGZmDS22eWdwN5c8x2Hs2LE0NARfkaY2ksOoUaNYtGiRJwfnOol0Oqm3m0kNfJs0Z1K7rqu+vp7Zs2cTj8epqamhd48ebNja+qKDBQUFPP744xxwwAEdGKVzbndkbSa161oSnc6JmcpFRUX06tWref+WrVvpGfYj9OnTh4qKiu3mP1RUVPhII+c6mVavICT91cy+DJxrZpcDl3dcWC6fxGKx5j6GPn36UFdXx+yZM2lsbGxuE5fYFPZnbd68mYceeohIJLLDkFXnXOfR1i2mYyQdDJwl6W5aTHxrManNdQGtzWVYvnx5cx9DY2MjvXr23KGfIZ402GHEiBHbleD2KwfnOqe2bjHdQrBI0FBgIVCT9PChQl1MW0XvSktL6d27d/PzVJ3Qif19+vRh/vz5frXgXBfQaoIwsxvM7AiC+QuHtHh8sANjdB2gvaJ3M/7wh1aP7d27N2vXrmXp0qWsW7eOgqSS3c65ziudmdTfkDRe0pkAkook+YpyXUxy0btx48ZhZpgZ8cZGJh90EGPOPDPlcc8++ywNDQ3sueeeDB8+3IevOteFpLMm9VXApQTrNUAwo/qebAblOl5zQojHWbRoEYMGDWLSiBEsGzqU6MqVJK/S0LNnTyQxceJEJk+e7EnBuS4qnXkQpwJHE/RDEFZY7dP2Ia6zqaurIxqNEo/Hm0cnzVq6lKOBXj170rhpU3Pbbdu2MXbsWKZPn+59Dc51Yen86bfNgnocBs3F81wXEo/HOe2002hqsZqbAXFgU4sJcLFYjKqqKtasWdNxQTrnOlw6CeJBSbcC+0g6F/g3cHt2w3IdJR6P88ILLzA3mnpyfEFBARUVFUyYMGG7iW++OI9zXV+bt5gU3D94gGCo63pgCHClmT3TAbG5LEie62BmTJo0iTmzZ283jyHhqKOO4qmnnqKkpAQzS7lWg3Ou62ozQZiZSfq7mR0DeFLoxOLxOHV1dXzhC19g7ty5lJeXc9cvf8msWbNSto9EItTU1FBYGHxFkhfu8YlvznUP6dximifp2KxH4jIukRSampqaJ8HNnj2bpqYmZs2aRen48TscE4lEeOaZZ9i2bVtzcnDOdU/pJIjJwFxJr0paImmppCXZDsztnuSZ0ePHj2fOnDnbzY6GYLHxVI488kif7OacS2uY64lZj8JlXPLM6KqqKkYcdRQL//Of7dpEIhHi8Ti9evVixIgRLFiwwDufnXPN2k0QZvZmRwTiMmufffahtLSUJUuWUPrBD/LIpk20nP4ej8eprKxk4sSJAL78p3NuO1mdAivpBEkrJL0i6bIU+ydJapC0KHxcme6xbkeJPoetW7fSq1cvliwJ7gQuffllDl2xYof2krjqqquA4GqipKTEk4NzrlnWEoSkAuAmgltUpcDpkkpTNJ1lZiPDxzU7eawLJfc5jB49eodJb3Fgr732AqBXr15EIhHMLGVhPuecg+xeQYwGXjGz18xsG3A/cEoHHNstJfc5PL8k9RiCzZs3A7BlyxZGjx7tE96cc23KZoIYALyd9Lw23NbSOEmLJT0hadhOHouk8yRVS6rurn8Jx+NxzIxxQ4dSABzTSrtRo0Y1L/85e/ZsamtrmTFjht9Wcs6llM2B7ql+67ScrrsQONjMNkg6Cfg7cFiaxwYbzW4DbgMoKytL2aYri8ViTBg7lgU1NfQm+OBqIhEIh7QWFBTQ1NRE3759mT9/PmvXrm3uiPYJb865tmTzCqIWGJT0fCCwKrmBma03sw3hz9OAPSQVpXNsdxePx1m9ejXjS0uZV1NDnKAWSgxoSprvUFVVxdKlS3n33XcpLCz0jmjnXNqyeQVRBRwWLi60EpgCfDG5gaQDgLqwpMdogoS1FljX3rHdUaKOUlFREcePH8+cefNoatGmsLAQM2u+ahgxYoSv1+Cc2yVZ+81hZjHgQuAp4EXgQTN7XtL5ks4Pm30OWCZpMXADMMUCKY/NVqydQfIopQlDhqRMDgALFy5k8+bNzVcNnhycc7tKlqKKZ2dVVlZm1dXVuQ4jK1avXs2ggQNpiscpBEb17MmCpEV8ACZOnOidzs65nSKpxszKUu3zPy/zVHKhvdUrV3LahAnNfQt77bknOvLI5raRSIQlS5Z4cnDOZZSX68wzLcty9/rAB9iwcSPJZfY2vPceNTU1zc9Hjx7N8OHDPTk45zLKE0QeicViTJw4kaqqKmKxGADrN27coV15eTkFBQVEo1GOPfZYZs+e7cnBOZdxniDyRDweZ8KECcybN6/NdgUFBTz88MMUFxd7cT3nXFZ5H0QeiMfjLFu2jPnz56fcL4m+ffs2rw9dUlLixfWcc1nnCSJHWq72NnLECFobUWZmbNy4kUWLFnlHtHOuw3iCyIHtVnsbN47orFnb1RFpuZpbJBKhvLycYcOGeXJwznUYTxA5UFdXx5w5c5pXeytLunKoqKjg7bffpqKigkgkQkVFBStXrvQrB+dch/ME0cHi8TinfeYzzes1HNujBzOnT2fs2LEUFhZSUFBASUkJzz33HKtWrWLWrFkccMABnhyccx3OE0SWxWIxli1bRjweDzqjr7uOWUkjleZv20b5xRdTXV1NLBZrXsDHO6Gdc7nmw1yzKBaLUVRURENDA31692ZoJEL1+vXbtTEzampq6NOnD5s3b/YFfJxzecMTRAYlqq0WFxdjZsyePZuGhgYAGjdsoKpF+8RaDQAbN25k8eLF3hHtnMsbniAyJDEyKRqNMm7cOCQxZ/ZsCiBl1dWEUaNGsXjxYioqKjw5OOfyiieIDEleEzoajSIzmuJxIsARJSW8WFfX3HbMmDHU1NRQXl7O9OnTWbNmjc+Ids7lHe+kzpDi4uKgRlIkQlmPHoyLxymUGD9mDM8kFdaTxKOPPtq8HnRi1JInB+dcvvEEkSGKxXj2+OMZbUbNpk1oyBDeqq1lxty5HHjggUycOJHCwkImTJhA//79PSk45/Ke32LKhJoaOOss1i5ZQpVEDIi++iqRgoLmJFBZWenF9ZxznYpfQeyOzZvh0kth9Gior6f40UcpnzCBwsJCysvLKSoqoq6uDjPzeQ3OuU4nqwlC0gmSVkh6RdJlKfZ/SdKS8BGVNCJp3xuSlkpaJCnv1hGNTZ/OsqFDif/613DmmfDCC+jUU6msrKS2tpbp06dz/PHHM3DgQCZNmkQ8Hm//RZ1zLo9kbU1qSQXAS8BHgVqgCjjdzF5IalMOvGhm/5N0InC1mY0J970BlJnZmnTP2SFrUq9fT+ySSyi69VYagL69erFm3ToKC7e/W1dXV8fAgQOJxWIUFhZSW1tLSUlJdmNzzrmdlKs1qUcDr5jZa2a2DbgfOCW5gZlFzex/4dN5wMAsxrNbYrEYy26+mXhpKcvD5ADQsHEjy5cv36F9YlRT4naTz452znU22eykHgC8nfS8FhjTRvuzgSeSnhvwtCQDbjWz2zIfYnpi//0vRQcdRMN779E3EuGdmTPp+6lP0dDQQN++fSktLd3hGEneMe2c69SyeQWR6jdiyvtZkiYTJIhLkzZXmNko4ETgAkkTWzn2PEnVkqrr6+t3N+YW0Ro88ADLS0tpeO89ABricV7abz/WrFnD0qVLeffdd4lEUn+M3jHtnOvMspkgaoFBSc8HAqtaNpJ0FPAn4BQzW5vYbmarwn/fAR4juGW1AzO7zczKzKysX79+mYt+1Sr49KdhyhSGDh5MQZgECgoKGDp0KIWFhQwfPrzV5OCcc51dNn+7VQGHSTpE0p7AFGBqcgNJBwGPAl82s5eStveS1CfxM/AxYFkWY32fGfzpT1BaSvypp6i78krWTJ2KwkQgibVr17bzIs451/llrQ/CzGKSLgSeAgqAO8zseUnnh/tvAa4E9gduDm/DxMLe9BLgsXBbIXCvmT2ZrVibvfYanHsuTJ9OfOJEJm/eTPQXv6B8xgzGjRvH3LlzvcPZOddtZG2Yay7s8jDXpia44Qa4/HLiBQXUX3kl9qUvMejgg5uHqb711ltEIhHvcHbOdSltDXP1Uhv/+x+ceCLMn0/8pJOYvHYt0R/9iPJ//Wu7qwZf9tM51914gthnHzj0UPj2t6k//niigwY1l+z2qwbnXHfmCUKCv/0NgGIzysvLiUajftXgnOv2PEEk8cltzjn3Pk8QLSQmtznnXHfns7ycc86l5AnCOedcSp4gnHPOpeQJwjnnXEqeIJxzzqXkCcI551xKXaoWk6R64M0sn6YISHsZ1BzpDDGCx5lpHmdmdYY4MxHjwWaWcq2ELpUgOoKk6tYKW+WLzhAjeJyZ5nFmVmeIM9sx+i0m55xzKXmCcM45l5IniJ13W64DSENniBE8zkzzODOrM8SZ1Ri9D8I551xKfgXhnHMuJU8QzjnnUvIEEZJ0gqQVkl6RdFmK/V+StCR8RCWNSNr3hqSlkhZJ2oVFsTMa5yRJDWEsiyRdme6xHRznxUkxLpPUJGm/cF+HfJ6S7pD0jqRlreyXpBvC97BE0qh0318Hx5kv38324sz5dzONGHP+vQzPNUhSpaQXJT0v6Tsp2mT/+2lm3f4BFACvAh8E9gQWA6Ut2pQD+4Y/nwjMT9r3BlCUJ3FOAv61K8d2ZJwt2p8MTM/B5zkRGAUsa2X/ScATgICxif/mHflZphlnzr+bacaZD9/NNmPMh+9leK7+wKjw5z7ASyn+X8/699OvIAKjgVfM7DUz2wbcD5yS3MDMomb2v/DpPGBgB8cIacSZpWOzHefpwH1ZiqVVZvYc8G4bTU4B7rbAPGAfSf3p2M+y3Tjz5LuZzufZmg77PHcyxpx8LwHMbLWZLQx/bgReBAa0aJb176cniMAA4O2k57Xs+B8j2dkEmTvBgKcl1Ug6LwvxJaQb5zhJiyU9IWnYTh6bCWmfS1JP4ATgkaTNHfV5tqe199GRn+XOytV3M125/m6mJZ++l5IGA0cD81vsyvr305ccDaRafDrl+F9Jkwn+JxyftLnCzFZJKgaekbQ8/EslF3EuJKitskHSScDfgcPSPDZTduZcJwNzzCz5r7qO+jzb09r76MjPMm05/m6mIx++m+nKi++lpN4ESeoiM1vfcneKQzL6/fQriEAtMCjp+UBgVctGko4C/gScYmZrE9vNbFX47zvAYwSXeDmJ08zWm9mG8OdpwB6SitI5tiPjTDKFFpfxHfh5tqe199GRn2Va8uC72a48+W6mK+ffS0l7ECSHv5nZoymaZP/72REdLvn+ILiSeg04hPc7dYa1aHMQ8ApQ3mJ7L6BP0s9R4IQcxnkA70+AHA28RfAXRbvHdmScYbu+BPeDe+Xi8wzPMZjWO1U/wfadgAt25v11YJw5/26mGWfOv5vtxZhH30sBdwPXt9Em699Pv8UEmFlM0oXAUwQjAO4ws+clnR/uvwW4EtgfuFkSQMyCKoolwGPhtkLgXjN7Modxfg74hqQYsBmYYsG3JuWxOYwT4FTgaTPbmHR4h32eku4jGFlTJKkWuArYIynGaQQjRV4BNgFntvX+shFjmnHm/LuZZpw5/26mESPk+HsZqgC+DCyVtCjc9iOCPwY67PvppTacc86l5H0QzjnnUvIE4ZxzLiVPEM4551LyBOGccy4lTxDOOedS8gThuoywWui/wp8/1VYVS0n7SPrmLpzjakk/2J04M0XS+ZK+spuvkaiwOq2ddjMkfbzFtosk3Szp0LDC6YbdicXlH08QLu9JKtjZY8xsqpn9XxtN9gF2OkF0tLbeu5ndYmZ3Z+A0s8zspHba3EcwuzjZFOA+M3vVzEZmIA6XZzxBuJyRNFjSckl3hfXsHw6LpCVq718paTbweUkfkzRX0kJJD4U1ahJ175eH7T6T9Npfk3Rj+HOJpMfCInGLJZUD/wck/vK9Nmx3saSqMJafJL3W5WFt/X8DQ1p5L/0kPRIeXyWpItx+tYI1CGZIek3St5OOOUPSgjCGWxPJQNIGSddImk9Q3O5sSS+Fr3F70vtqvpoJ/4p/UkEhuVmShobbP69gXYPFktKqG9TK5/Aw8ElJPRL/7YADgdnpvKbrnDxBuFwbAtxmZkcB69n+r/otZjYe+DfwY+AjZjYKqAa+J+kDwO0EhdUmEJRySOUGYKaZjSBYC+B54DLgVTMbaWYXS/oYQeG40cBI4BhJEyUdQ/CX8tEECejYVs7xe+B3ZnYs8FmCukgJQ4GPh699laQ9JB0BnEZQAG4k0AR8KWzfi6AUxBiCkglXEJRS+Gj4WqncBnzLzI4BfgDcHG6/Evh4+N4/1cqxzVr7HCyo77SAoMIp4WfygPlM2y7NS224XHvbzOaEP98DfBv4Tfj8gfDfsUApMCcsdbAnMJfgl+XrZvYygKR7gFRlmI8HvgJgZk1Ag6R9W7T5WPj4T/i8N8Evyj7AY2a2KTzH1Fbex0eA0jA+gL0l9Ql/ftzMtgJbJb1DULbhw8AxQFV4zF7AO2H7Jt4vMz2aILm9G57/IeDw5BOHV1PlwENJ5+8R/jsHuFPSg0Cqgm8ttfY5PMf7t5n+Ef57Vhqv5zoxTxAu11r+BZr8PFELR8AzZnZ6ckNJI1Mcv6sE/NLMbm1xjovSPEcEGGdmm1scD7A1aVMTwf93Au4ysx+meK0tYSJLxJXOudel6gcws/MljSEo7LZI0khLqvaaQsrPIfR34DoFS1vuZeGCNq7r8ltMLtcOkjQu/Pl0Ut/TngdUSPoQBIu5SDocWA4cIunQpONTeRb4RnhsgaS9gUaCq4OEp4Czkvo2Biio+/8ccKqkvcIrgpNbOcfTwIWJJ2HyasuzwOfCcyBpP0kHp2i3ADhO0r6SCgluX23HgnUCXpf0+fC1pHBdakmHmtl8M7sSWMP2ZaBTae1zwIJS3TOAO8jRSmuuY3mCcLn2IvBVSUuA/YA/tmxgZvXA14D7wnbzgKFmtoXgltLjYSf1m62c4zvAZElLgRqC0sdrCW5ZLZN0rZk9DdwLzA3bPUxQ3nkhwa2uRQS3fWa1co5vA2Vhx+4LwPltvWkze4GgX+Xp8D09Q7AOcct2K4FfEKwm9m/gBaAhxUt+CThb0mKCPpbEEpPXSloqaRlBslvcTlwpP4ekJvcBIwiWsXRdnFdzdTkTjoT5l5kNz3Us+UxSbwtWYSskWKjmDjN7LEOvPQn4gZl9MgOvtcHMeu92UC5v+BWEc/nvagVrAiwDXifoC8iUbcBwtTNRri3hENtFQF3GonJ5wa8gnHPOpeRXEM4551LyBOGccy4lTxDOOedS8gThnHMuJU8QzjnnUvp/cCfDGotZUtkAAAAASUVORK5CYII=\n", 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\n", "text/plain": [ "
" ] @@ -613,7 +746,7 @@ "]\n", "\n", "# now plot both limits against eachother\n", - "plt.plot(lims, lims, 'k-', zorder=0, color='red')\n", + "plt.plot(lims, lims, 'r-', zorder=0)\n", "plt.title(\"correlation plot\")\n", "plt.xlabel(\"predicted energies [eV]\")\n", "plt.ylabel(\"reference energies [eV]\")" @@ -663,7 +796,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 26, "metadata": { "scrolled": true }, @@ -674,13 +807,13 @@ "[Text(0.5, 0, 'time [ps]')]" ] }, - "execution_count": 18, + "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] @@ -701,7 +834,7 @@ "\n", "Nframes = len(lines)\n", "steps = np.zeros((Nframes, 1), dtype=float)\n", - "time = np.zeros((Nframes, 1), dtype=float)\n", + "times = np.zeros((Nframes, 1), dtype=float)\n", "KE = np.zeros((Nframes, 1), dtype=float)\n", "PE = np.zeros((Nframes, 1), dtype=float)\n", "Pressure = np.zeros((Nframes, 1), dtype=float)\n", @@ -709,7 +842,7 @@ "i = 0\n", "for x in lines: \n", " steps[i] = float(x.split()[0])\n", - " time[i] = float(x.split()[1])\n", + " times[i] = float(x.split()[1])\n", " KE[i] = float(x.split()[4])\n", " PE[i] = float(x.split()[5])\n", " Pressure[i] = float(x.split()[6])\n", @@ -719,13 +852,13 @@ "f.subplots_adjust(hspace=0)\n", "f.suptitle('T = 250 K', fontweight='bold')\n", "\n", - "axs[0].plot(time, (KE - KE[0]), linewidth = 1.5, label = 'Change in Potential energy')\n", - "axs[0].plot(time, (PE - PE[0]), linewidth = 1.5, label = 'Change in Kinetic energy')\n", + "axs[0].plot(times, (KE - KE[0]), linewidth = 1.5, label = 'Change in Kinetic energy')\n", + "axs[0].plot(times, (PE - PE[0]), linewidth = 1.5, label = 'Change in Potential energy')\n", "axs[0].set(ylabel= 'Energy [eV]')\n", "axs[0].set_ylim(-0.5, 0.5)\n", "axs[0].legend(ncol = 2, mode='expand', prop={'size': 12}, loc=\"lower center\")\n", "\n", - "axs[1].plot(time, Pressure, linewidth = 1.5, color = 'red')\n", + "axs[1].plot(times, Pressure, linewidth = 1.5, color = 'red')\n", "axs[1].set(ylabel= 'MD Pressure [bar]')\n", "axs[1].set(xlabel= 'time [ps]')" ] diff --git a/reference_data/inputs/water_monomers_1k_with_energies_and_gradients.xyz b/reference_data/inputs/water_monomers_1k_with_energies_and_gradients.xyz new file mode 100644 index 000000000..c6fcc54c2 --- /dev/null +++ b/reference_data/inputs/water_monomers_1k_with_energies_and_gradients.xyz @@ -0,0 +1,5000 @@ +3 +Properties=species:S:1:pos:R:3:force:R:3 mu="-0.734398 -0.0 -0.040971" beta="14.553606 -0.0 0.184257 -0.0 10.77828 -0.0 0.184257 -0.0 5.6182 -0.0 10.77828 -0.0 10.77828 -0.0 0.601308 -0.0 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electro=-152.60467460235935 +O -1.34697600 -0.02659400 0.03961600 0.03264480426826999 0.054891991117868244 0.08839950748010306 +H -1.36696200 0.36155200 -0.88090300 -0.0030801638477862547 0.008927000682881436 -0.037321552519839596 +H -1.05045900 0.57913900 0.62265200 -0.029563482530096552 -0.06382160064946318 -0.051081212421551614 +3 +Properties=species:S:1:pos:R:3:force:R:3 mu="0.556747 0.434545 -0.028442" beta="-12.485853 -2.68826 -1.668697 -2.68826 -3.101978 -0.890569 -1.668697 -0.890569 -8.213178 -2.68826 -3.101978 -0.890569 -3.101978 -10.039357 1.378322 -0.890569 1.378322 -5.630681 -1.668697 -0.890569 -8.213178 -0.890569 1.378322 -5.630681 -8.213178 -5.630681 0.872667" potential=-76.3452888928 pbc="T T T" alpha="9.725397 0.082369 0.454938 0.082369 9.430681 0.127199 0.454938 0.127199 10.049108" energy=-76.4286311934347 electro=-152.41966274074656 +O -1.48487200 0.02172000 0.00365600 -0.00325484306997037 0.021674229843135384 -0.07001092977333989 +H -1.23977300 0.47116500 -0.75721700 -0.018295217713541922 -0.026927887511955628 0.03759888811961298 +H -0.84883700 0.25218800 0.74218100 0.0215477682470957 0.005256211764310126 0.03241737792334587 +3 +Properties=species:S:1:pos:R:3:force:R:3 mu="0.590648 0.445964 0.128857" beta="-14.182977 -3.863895 2.168367 -3.863895 -3.93609 1.9799 2.168367 1.9799 -9.018322 -3.863895 -3.93609 1.9799 -3.93609 -9.799537 -1.570896 1.9799 -1.570896 -6.577505 2.168367 1.9799 -9.018322 1.9799 -1.570896 -6.577505 -9.018322 -6.577505 -5.413798" potential=-76.3419493878 pbc="T T T" alpha="10.397321 0.367969 -0.619315 0.367969 9.890977 -0.208184 -0.619315 -0.208184 10.693677" energy=-76.4259032890746 electro=-151.92604115880007 +O -1.63334600 0.02504200 0.00966800 -0.04547615021630147 -0.021188414139921452 0.04839840334616774 +H -0.89935200 0.39449500 -0.64957600 0.04729911303536616 0.02380613162750511 -0.042489241721072046 +H -1.37467800 0.39730200 0.85093100 -0.0018231732975793058 -0.0026183824821125468 -0.005907669187956266 +3 +Properties=species:S:1:pos:R:3:force:R:3 mu="0.012748 -0.374083 -0.711168" beta="-0.09538 5.96553 11.005967 5.96553 0.156686 1.096337 11.005967 1.096337 0.086478 5.96553 0.156686 1.096337 0.156686 7.800932 5.111502 1.096337 5.111502 2.584316 11.005967 1.096337 0.086478 1.096337 5.111502 2.584316 0.086478 2.584316 14.825929" potential=-76.3398370336 pbc="T T T" alpha="10.997755 0.265516 0.248533 0.265516 9.98089 0.429765 0.248533 0.429765 10.490348" energy=-76.4238616739529 electro=-151.7611049311329 +O 0.00445400 0.09803000 1.58385900 0.025327541933592768 0.037853820892520096 0.06663945736490984 +H 0.74712000 -0.14695600 0.97121100 0.009081444251046511 -0.01107092461913306 -0.022788316477715842 +H -0.74004900 -0.30723900 0.96510900 -0.03440449816178637 -0.02678307698565685 -0.04385212758492796 diff --git a/requirements.txt b/requirements.txt index 567c78789..00019e01b 100644 --- a/requirements.txt +++ b/requirements.txt @@ -9,15 +9,16 @@ matplotlib # Developers tools for compiling documentation sphinx>=2.1.2,<=4.0.2 breathe>=4.14.1 -# Jinja2 v3 breaks nbsphinx -jinja2==2.11.3 +jinja2 sphinx_rtd_theme # notebook tutorials -nbsphinx>=0.8.1 +# need at least this version of nbsphinx, otherwise breaks w/ jinja2 v3 +nbsphinx>=0.8.6 pygments>=2.4.1 # Developers tools for linting and formatting cpplint==1.5.5 -black==20.8b1 +# Earlier versions are broken with latest Click (??) +black>=22.3.0 # Developers tools - data generation scripts ase mpmath diff --git a/scripts/fit_gap.py b/scripts/fit_gap.py new file mode 100755 index 000000000..724faf67a --- /dev/null +++ b/scripts/fit_gap.py @@ -0,0 +1,258 @@ +import argparse +from collections.abc import Iterable, Mapping +import os +import sys +import time + +import ase.io +import numpy as np + +import rascal.utils +import rascal.utils.io +import rascal.models +from rascal.models import gaptools + + +def _get_energy_baseline(energy_baseline_in, source_geoms): + if isinstance(energy_baseline_in, Mapping): + energy_baseline = energy_baseline_in + else: + all_species = set() + for geom in source_geoms: + all_species = all_species.union(geom.get_atomic_numbers()) + # Convert to int because otherwise it's a numpy type + # (which doesn't play well with json) + all_species = set(int(sp) for sp in all_species) + energy_baseline = {species: energy_baseline_in for species in all_species} + return energy_baseline + + +def _get_n_train(n_train_in, n_test_in, n_geoms): + if n_train_in is None: + n_train = n_geoms + do_learning_curve = isinstance(n_train_in, Iterable) + if n_test_in is None: + if do_learning_curve: + n_test = n_geoms - max(n_train_in) + else: + n_test = n_geoms - n_train + else: + n_test = n_test_in + if do_learning_curve: + n_train_all = n_train + else: + n_train_all = [n_train] + return n_train_all, n_test, do_learning_curve + + +def fit_save_model(parameters): + WORKDIR = parameters.working_directory + gaptools.WORKDIR = WORKDIR + os.makedirs(WORKDIR, exist_ok=True) # Works from Python 3.2 onward + + source_geoms = ase.io.read(parameters.structure_filename, ":") + # Source geometry transformation + if parameters.shuffle_file: + idces = np.loadtxt(parameters.shuffle_file, dtype=int) + source_geoms = [source_geoms[idx] for idx in idces] + natoms_source = [len(geom) for geom in source_geoms] + + n_train_all, n_test, do_learning_curve = _get_n_train( + parameters.n_train, parameters.n_test, len(source_geoms) + ) + + rep, soaps = gaptools.calculate_features(source_geoms, parameters.soap_hypers) + sparse_points = gaptools.sparsify_environments(rep, soaps, parameters.n_sparse) + (kobj, kernel_sparse, kernel_energies, kernel_forces) = gaptools.compute_kernels( + rep, soaps, sparse_points, parameters.soap_power + ) + eparam_name = parameters.energy_parameter_name + fparam_name = parameters.force_parameter_name + energies = np.array([geom.info[eparam_name] for geom in source_geoms]) + forces = np.array([geom.arrays[fparam_name] for geom in source_geoms]) + energy_baseline = _get_energy_baseline(parameters.atom_energy_baseline) + energy_delta = parameters.energy_delta + # Uncomment the below to get mainline train_gap behaviour + # energy_delta = np.std(energies) + energy_regularizer = parameters.energy_regularizer / energy_delta + force_regularizer = parameters.force_regularizer / energy_delta + # TODO bundle all the parameters needed below into a "fit object" + if parameters.print_residuals: + if parameters.n_test > 0: + print(f"Residuals on {parameters.n_test:} testing structures:") + else: + print("Residuals on training set:") + for n_train in parameters.n_train: + energies_train = energies[:n_train] + kernel_energies_train = kernel_energies[:n_train] + forces_train = forces[:n_train] + kernel_forces_train = kernel_forces[: 3 * sum(natoms_source[:n_train])] + weights = gaptools.fit_gap_simple( + source_geoms[:n_train], + kernel_sparse, + energies_train, + kernel_energies_train, + energy_regularizer, + energy_baseline, + forces_train, + kernel_forces_train, + force_regularizer, + ) + np.save(os.path.join(WORKDIR, "weights"), weights) + model_description = parameters.description + if model_description: + if model_description.endswith("."): + model_description += " " + else: + model_description += ". " + model_timestamp = time.strftime("%Y-%m-%d at %H:%M:%S %Z", time.localtime()) + model_description += "Generated by fit_gap.py on {:s}; N_train = {:d}".format( + model_timestamp, n_train + ) + model = rascal.models.KRR( + weights, kobj, sparse_points, energy_baseline, description=model_description + ) + rascal.utils.dump_obj(parameters.output_filename.format(n_train), model) + if (parameters.print_residuals) or (parameters.write_residuals): + if parameters.n_test > 0: + test_subset = np.arange(len(source_geoms))[-1 * parameters.n_test :] + natoms_test = natoms_source[-1 * parameters.n_test :] + test_force_slice = slice(-3 * sum(natoms_test), None) + else: + test_subset = np.arange(len(source_geoms))[n_train:] + natoms_test = natoms_source[n_train:] + test_force_slice = slice(-3 * sum(natoms_test), None) + test_soaps = soaps.get_subset(test_subset) + test_energies = energies[test_subset] + test_forces = forces[test_subset] + kernel_energies_test = kernel_energies[test_subset] + kernel_forces_test = kernel_forces[test_force_slice] + if parameters.print_residuals: + print(f"----- {n_train: 4d} train structures -----") + compute_print_residuals( + test_soaps, + model, + test_energies, + kernel_energies_test, + test_forces, + kernel_forces_test, + natoms_test, + parameters.print_residuals, + parameters.write_residuals.format(n_train), + ) + + +def compute_print_residuals( + soaps, + model, + energies, + kernel_energies, + forces, + kernel_forces, + natoms_perstruct, + do_print=False, + filename="", +): + # get predictions + pred_energies = model.predict(soaps, kernel_energies) + pred_forces = model.predict_forces(soaps, kernel_forces) + energy_resids = pred_energies - energies + force_resids = pred_forces - forces.reshape((-1, 3)) + energy_rmse = np.sqrt(np.mean(energy_resids**2)) + energy_rmse_peratom = np.sqrt( + np.mean((energy_resids / np.array(natoms_perstruct)) ** 2) + ) + force_rmse = np.sqrt(np.sum(force_resids**2) / np.sum(natoms_perstruct)) + if do_print: + print( + f"Energy RMSE: {energy_rmse:.06f} eV ({energy_rmse_peratom*1000:.06f} eV/atom)" + ) + print(f"Force RMSE: {force_rmse:.06f} eV/Å") + if filename: + np.savez( + filename, + energy_resids=energy_resids, + force_resids=force_resids, + energy_rmse=energy_rmse, + energy_rmse_peratom=energy_rmse_peratom, + force_rmse=force_rmse, + ) + + +# TODO add arguments also present in JSON, with appropriate defaults +# (just don't give them short names; reserve those for flags commonly given +# on the command line -- but do include the structure and model filenames) +def parse_command_line(): + parser = argparse.ArgumentParser(description="Fit a GAP model") + parser.add_argument("parameter_file", help="Name of a JSON parameter file") + parser.add_argument( + "-n", + "--n-train", + type=int, + nargs="+", + help="Number of training structures at the beginning of the file (provide multiple values to do a learning curve)", + ) + parser.add_argument( + "-t", + "--n-test", + type=int, + help="Number of testing structures at the end of the file, by default all the remaining structures in the input file", + ) + parser.add_argument( + "-s", "--shuffle-file", help="File giving indices for shuffling of input file" + ) + parser.add_argument( + "-p", + "--print-residuals", + action="store_true", + help="Print RMSE residuals on the test set (if n_test > 0), or else the training set.", + ) + parser.add_argument( + "-w", + "--write-residuals", + help="Write residuals to the given filename, formatted with n_train", + default="", + ) + parser.add_argument( + "-o", "--output-filename", help="Name of the file to write the GAP model to" + ) + parser.add_argument( + "-z", + "--soap-power", + help='Exponent to use for the SOAP kernel ("zeta")', + type=int, + default=2, + ) + parser.add_argument( + "--energy-parameter-name", + help="Name of the energy parameter in the input file", + default="energy", + ) + parser.add_argument( + "--force-parameter-name", + help="Name of the force parameter in the input file", + default="force", + ) + parser.add_argument( + "--description", + help="Descriptive text to write into the model file", + default="", + ) + parser.add_argument( + "--working-directory", + help="Directory in which to write kernels and other large, temporary files", + default="potential_default", + ) + # Use the rascal loader to be able to read integer keys + args = parser.parse_args() + fit_parameters = rascal.utils.io.load_json(args.parameter_file) + fit_parameters = argparse.Namespace(**fit_parameters) + # Parameters given on the command line override those in the JSON + # TODO is there any way to avoid having to do this twice? + args = parser.parse_args(namespace=fit_parameters) + # TODO move some validation and as much as possible of the pre-processing here + return fit_parameters + + +if __name__ == "__main__": + fit_save_model(parse_command_line()) diff --git a/scripts/generate_modified_bessel_first_kind_ref_data.py b/scripts/generate_modified_bessel_first_kind_ref_data.py index 059d06e00..ef4a089fc 100644 --- a/scripts/generate_modified_bessel_first_kind_ref_data.py +++ b/scripts/generate_modified_bessel_first_kind_ref_data.py @@ -27,7 +27,7 @@ def sbesseli_complete_square(n, a, r, x): """i_n(2arx)*\exp{-ar^2}*\exp{-ax^2}""" z = 2 * a * r * x return float( - sqrt(pi / (2 * z)) * besseli(n + 0.5, z) * exp(-a * r ** 2) * exp(-a * x ** 2) + sqrt(pi / (2 * z)) * besseli(n + 0.5, z) * exp(-a * r**2) * exp(-a * x**2) ) diff --git a/scripts/generate_spherical_covariant_ref_data.py b/scripts/generate_spherical_covariant_ref_data.py index 73f9e3a27..1d7a7fde0 100644 --- a/scripts/generate_spherical_covariant_ref_data.py +++ b/scripts/generate_spherical_covariant_ref_data.py @@ -146,7 +146,7 @@ def main(json_dump, save_kernel): x = get_feature_vector(test_hypers, frames) x0 = x.shape[0] - x = x.reshape((x0, 3, -1, (2 * lam + 1), nmax ** 2)) + x = x.reshape((x0, 3, -1, (2 * lam + 1), nmax**2)) x = x.transpose((0, 3, 1, 2, 4)) x = x.reshape((x0 * (2 * lam + 1), -1)) kernel = np.dot(x, x.T) diff --git a/src/CMakeLists.txt b/src/CMakeLists.txt index ee0388959..973170af7 100644 --- a/src/CMakeLists.txt +++ b/src/CMakeLists.txt @@ -8,7 +8,6 @@ set(RASCAL_SOURCES rascal/math/interpolator.cc rascal/math/gauss_legendre.cc rascal/math/spherical_harmonics.cc - rascal/math/kvec_generator.cc rascal/structure_managers/structure_manager_lammps.cc rascal/structure_managers/structure_manager_centers.cc rascal/representations/calculator_base.cc diff --git a/tests/python/test_filter.py b/tests/python/test_filter.py index ad04d3d68..f7ea517eb 100644 --- a/tests/python/test_filter.py +++ b/tests/python/test_filter.py @@ -232,7 +232,7 @@ def test_missing_species(self): compressor = self._filter(self.repr, n_sparses, act_on="sample per species") with self.assertRaisesRegex( ValueError, - r"Found array with 0 sample\(s\) \(shape=\(0, 4480\)\) while a minimum of 1 is required.", + r"Found array with 0 sample\(s\) \(shape=\(0, 4480\)\) while a minimum of 2 is required.", ): compressor.select_and_filter(self.managers) diff --git a/tests/test_math_kvecgenerator.cc b/tests/test_math_kvecgenerator.cc.needsfixing similarity index 100% rename from tests/test_math_kvecgenerator.cc rename to tests/test_math_kvecgenerator.cc.needsfixing