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ALIGNN (Introduction)

The Atomistic Line Graph Neural Network (https://www.nature.com/articles/s41524-021-00650-1) introduces a new graph convolution layer that explicitly models both two and three body interactions in atomistic systems.

This is achieved by composing two edge-gated graph convolution layers, the first applied to the atomistic line graph L(g) (representing triplet interactions) and the second applied to the atomistic bond graph g (representing pair interactions).

The atomistic graph g consists of a node for each atom i (with atom/node representations hi), and one edge for each atom pair within a cutoff radius (with bond/pair representations eij).

The atomistic line graph L(g) represents relationships between atom triplets: it has nodes corresponding to bonds (sharing representations eij with those in g) and edges corresponding to bond angles (with angle/triplet representations tijk).

The line graph convolution updates the triplet representations and the pair representations; the direct graph convolution further updates the pair representations and the atom representations.

ALIGNN layer schematic

Installation

First create a conda environment: Install miniconda environment from https://conda.io/miniconda.html Based on your system requirements, you'll get a file something like 'Miniconda3-latest-XYZ'.

Now,

bash Miniconda3-latest-Linux-x86_64.sh (for linux)
bash Miniconda3-latest-MacOSX-x86_64.sh (for Mac)

Download 32/64 bit python 3.10 miniconda exe and install (for windows) Now, let's make a conda environment, say "my_alignn", choose other name as you like::

conda create --name my_alignn python=3.10
conda activate my_alignn
conda install alignn

Starting version 2024.3.24, we have developed a conda package for alignn: https://anaconda.org/conda-forge/alignn

optional GPU dependencies notes

If you need CUDA support, it's best to install PyTorch and DGL before installing alignn to ensure that you get a CUDA-enabled version of DGL.

To [install the stable release of PyTorch] on linux with cudatoolkit 11.8 run

conda install pytorch torchvision torchaudio pytorch-cuda=11.8 -c pytorch -c nvidia

Then install the matching DGL version

conda install -c dglteam/label/cu118 dgl

Some of our models may not be stable with the latest DGL release (v1.1.0) so you may wish to install v1.0.2 instead:

conda install -c dglteam/label/cu118 dgl==1.0.2.cu118

Method 1 (editable in-place install)

You can laso install a development version of alignn by cloning the repository and installing in place with pip:

git clone https://github.com/usnistgov/alignn
cd alignn
python -m pip install -e .

Method 2 (using pypi):

As an alternate method, ALIGNN can also be installed using pip command as follows:

pip install alignn
pip install dgl==1.0.1+cu117 -f https://data.dgl.ai/wheels/cu117/repo.html

Examples

Notebooks Google Colab Descriptions
Regression model Open in Google Colab Examples for developing single output regression model for exfoliation energies of 2D materials.
MLFF Open in Google Colab Examples of training a machine learning force field for Silicon.
Miscellaneous tasks Open in Google Colab Examples for developing single output (such as formation energy, bandgaps) or multi-output (such as phonon DOS, electron DOS) Regression or Classification (such as metal vs non-metal), Using several pretrained models.

Here, we provide examples for property prediction tasks, development of machine-learning force-fields (MLFF), usage of pre-trained property predictor, MLFFs, webapps etc.

Dataset preparation for property prediction tasks

The main script to train model is train_alignn.py. A user needs at least the following info to train a model: 1) id_prop.csv with name of the file and corresponding value, 2) config_example.json a config file with training and hyperparameters.

Users can keep their structure files in POSCAR, .cif, .xyz or .pdb files in a directory. In the examples below we will use POSCAR format files. In the same directory, there should be an id_prop.csv file.

In this directory, id_prop.csv, the filenames, and correponding target values are kept in comma separated values (csv) format.

Here is an example of training OptB88vdw bandgaps of 50 materials from JARVIS-DFT database. The example is created using the generate_sample_data_reg.py script. Users can modify the script for more than 50 data, or make their own dataset in this format. For list of available datasets see Databases.

The dataset in split in 80:10:10 as training-validation-test set (controlled by train_ratio, val_ratio, test_ratio) . To change the split proportion and other parameters, change the config_example.json file. If, users want to train on certain sets and val/test on another dataset, set n_train, n_val, n_test manually in the config_example.json and also set keep_data_order as True there so that random shuffle is disabled.

A brief help guide (-h) can be obtained as follows.

train_alignn.py -h

Regression example

Now, the model is trained as follows. Please increase the batch_size parameter to something like 32 or 64 in config_example.json for general trainings.

train_alignn.py --root_dir "alignn/examples/sample_data" --config "alignn/examples/sample_data/config_example.json" --output_dir=temp

Classification example

While the above example is for regression, the follwoing example shows a classification task for metal/non-metal based on the above bandgap values. We transform the dataset into 1 or 0 based on a threshold of 0.01 eV (controlled by the parameter, classification_threshold) and train a similar classification model. Currently, the script allows binary classification tasks only.

train_alignn.py --root_dir "alignn/examples/sample_data" --classification_threshold 0.01 --config "alignn/examples/sample_data/config_example.json" --output_dir=temp

Multi-output model example

While the above example regression was for single-output values, we can train multi-output regression models as well. An example is given below for training formation energy per atom, bandgap and total energy per atom simulataneously. The script to generate the example data is provided in the script folder of the sample_data_multi_prop. Another example of training electron and phonon density of states is provided also.

train_alignn.py --root_dir "alignn/examples/sample_data_multi_prop" --config "alignn/examples/sample_data/config_example.json" --output_dir=temp

Automated model training

Users can try training using multiple example scripts to run multiple dataset (such as JARVIS-DFT, Materials project, QM9_JCTC etc.). Look into the alignn/scripts/train_*.py folder. This is done primarily to make the trainings more automated rather than making folder/ csv files etc. These scripts automatically download datasets from Databases in jarvis-tools and train several models. Make sure you specify your specific queuing system details in the scripts.

other examples

Additional example trainings for 2D-exfoliation energy, superconductor transition temperature.

Using pre-trained models

All the trained models are distributed on [Figshare](https://figshare.com/projects/ALIGNN_models/126478.

The pretrained.py script can be applied to use them. These models can be used to directly make predictions.

A brief help section (-h) is shown using:

pretrained.py -h

An example of prediction formation energy per atom using JARVIS-DFT dataset trained model is shown below:

pretrained.py --model_name jv_formation_energy_peratom_alignn --file_format poscar --file_path alignn/examples/sample_data/POSCAR-JVASP-10.vasp

Web-app

A basic web-app is for direct-prediction available at JARVIS-ALIGNN app. Given atomistic structure in POSCAR format it predict formation energy, total energy per atom and bandgap using data trained on JARVIS-DFT dataset.

JARVIS-ALIGNN

ALIGNN-FF

Atomisitic line graph neural network-based FF (ALIGNN-FF) can be used to model both structurally and chemically diverse systems with any combination of 89 elements from the periodic table. To train the ALIGNN-FF model, we have used the JARVIS-DFT dataset which contains around 75000 materials and 4 million energy-force entries, out of which 307113 are used in the training. These models can be further finetuned, or new models can be developed from scratch on a new dataset.

ASE calculator provides interface to various codes. An example for ALIGNN-FF is give below. Note that there are multiple pretrained ALIGNN-FF models available, here we use the deafult_path model. As more accurate models are developed, they will be made available as well:

from alignn.ff.ff import AlignnAtomwiseCalculator,default_path
model_path = default_path()
calc = AlignnAtomwiseCalculator(path=model_path)

from ase import Atom, Atoms
import numpy as np
import matplotlib.pyplot as plt

lattice_params = np.linspace(3.5, 3.8)
fcc_energies = []
ready = True
for a in lattice_params:
    atoms = Atoms([Atom('Cu', (0, 0, 0))],
                  cell=0.5 * a * np.array([[1.0, 1.0, 0.0],
                                           [0.0, 1.0, 1.0],
                                           [1.0, 0.0, 1.0]]),
                 pbc=True)

    atoms.set_tags(np.ones(len(atoms)))
    atoms.calc = calc
    e = atoms.get_potential_energy()
    fcc_energies.append(e)

import matplotlib.pyplot as plt
%matplotlib inline
plt.plot(lattice_params, fcc_energies)
plt.title('1x1x1')
plt.xlabel('Lattice constant ($\AA$)')
plt.ylabel('Total energy (eV)')
plt.show()

To train ALIGNN-FF use train_alignn.py script which uses atomwise_alignn model:

AtomWise prediction example which looks for similar setup as before but unstead of id_prop.csv, it requires id_prop.json file (see example in the sample_data_ff directory). An example to compile vasprun.xml files into a id_prop.json is kept here. Note ALIGNN-FF requires energy stored as energy per atom:

train_alignn.py --root_dir "alignn/examples/sample_data_ff" --config "alignn/examples/sample_data_ff/config_example_atomwise.json" --output_dir=temp

To finetune model, use --restart_model_path tag as well in the above with the path of a pretrained ALIGNN-FF model with same model confurations.

An example for training MLFF for silicon is provided here. It is highly recommeded to get familiar with this example before developing a new model. Note: new model configs such as lg_on_fly and add_reverse_forces should be defaulted to True for newer versions. For MD runs, use_cutoff_function is recommended.

A pretrained ALIGNN-FF (under active development right now) can be used for predicting several properties, such as:

run_alignn_ff.py --file_path alignn/examples/sample_data/POSCAR-JVASP-10.vasp --task="unrelaxed_energy"
run_alignn_ff.py --file_path alignn/examples/sample_data/POSCAR-JVASP-10.vasp --task="optimize"
run_alignn_ff.py --file_path alignn/examples/sample_data/POSCAR-JVASP-10.vasp --task="ev_curve"

To know about other tasks, type.

run_alignn_ff.py -h

Several supporting scripts for stucture optimization, equation of states, phonon and related calculations are provided in the repo as well. If you need further assistance for a particular task, feel free to raise an GitHus issue.

Performances

Please refer to JARVIS-Leaderboard to check the performance of ALIGNN models on several databases.

1) On JARVIS-DFT 2021 dataset (classification)

Model Threshold ALIGNN
Metal/non-metal classifier (OPT) 0.01 eV 0.92
Metal/non-metal classifier (MBJ) 0.01 eV 0.92
Magnetic/non-Magnetic classifier 0.05 µB 0.91
High/low SLME 10 % 0.83
High/low spillage 0.1 0.80
Stable/unstable (ehull) 0.1 eV 0.94
High/low-n-Seebeck -100 µVK-1 0.88
High/low-p-Seebeck 100 µVK-1 0.92
High/low-n-powerfactor 1000 µW(mK2)-1 0.74
High/low-p-powerfactor 1000µW(mK2)-1 0.74

2) On JARVIS-DFT 2021 dataset (regression)

Property Units MAD CFID CGCNN ALIGNN MAD: MAE
Formation energy eV(atom)-1 0.86 0.14 0.063 0.033 26.06
Bandgap (OPT) eV 0.99 0.30 0.20 0.14 7.07
Total energy eV(atom)-1 1.78 0.24 0.078 0.037 48.11
Ehull eV 1.14 0.22 0.17 0.076 15.00
Bandgap (MBJ) eV 1.79 0.53 0.41 0.31 5.77
Kv GPa 52.80 14.12 14.47 10.40 5.08
Gv GPa 27.16 11.98 11.75 9.48 2.86
Mag. mom µB 1.27 0.45 0.37 0.26 4.88
SLME (%) No unit 10.93 6.22 5.66 4.52 2.42
Spillage No unit 0.52 0.39 0.40 0.35 1.49
Kpoint-length Å 17.88 9.68 10.60 9.51 1.88
Plane-wave cutoff eV 260.4 139.4 151.0 133.8 1.95
єx (OPT) No unit 57.40 24.83 27.17 20.40 2.81
єy (OPT) No unit 57.54 25.03 26.62 19.99 2.88
єz (OPT) No unit 56.03 24.77 25.69 19.57 2.86
єx (MBJ) No unit 64.43 30.96 29.82 24.05 2.68
єy (MBJ) No unit 64.55 29.89 30.11 23.65 2.73
єz (MBJ) No unit 60.88 29.18 30.53 23.73 2.57
є (DFPT:elec+ionic) No unit 45.81 43.71 38.78 28.15 1.63
Max. piezoelectric strain coeff (dij) CN-1 24.57 36.41 34.71 20.57 1.19
Max. piezo. stress coeff (eij) Cm-2 0.26 0.23 0.19 0.147 1.77
Exfoliation energy meV(atom)-1 62.63 63.31 50.0 51.42 1.22
Max. EFG 1021 Vm-2 43.90 24.54 24.7 19.12 2.30
avg. me electron mass unit 0.22 0.14 0.12 0.085 2.59
avg. mh electron mass unit 0.41 0.20 0.17 0.124 3.31
n-Seebeck µVK-1 113.0 56.38 49.32 40.92 2.76
n-PF µW(mK2)-1 697.80 521.54 552.6 442.30 1.58
p-Seebeck µVK-1 166.33 62.74 52.68 42.42 3.92
p-PF µW(mK2)-1 691.67 505.45 560.8 440.26 1.57

3) On Materials project 2018 dataset

The results from models other than ALIGNN are reported as given in corresponding papers, not necessarily reproduced by us.

Prop Unit MAD CFID CGCNN MEGNet SchNet ALIGNN MAD:MAE
Ef eV(atom)-1 0.93 0.104 0.039 0.028 0.035 0.022 42.27
Eg eV 1.35 0.434 0.388 0.33 - 0.218 6.19

4) On QM9 dataset

Note the issue related to QM9 dataset. The results from models other than ALIGNN are reported as given in corresponding papers, not necessarily reproduced by us. These models were trained with same parameters as solid-state databases but for 1000 epochs.

Target Units SchNet MEGNet DimeNet++ ALIGNN
HOMO eV 0.041 0.043 0.0246 0.0214
LUMO eV 0.034 0.044 0.0195 0.0195
Gap eV 0.063 0.066 0.0326 0.0381
ZPVE eV 0.0017 0.00143 0.00121 0.0031
µ Debye 0.033 0.05 0.0297 0.0146
α Bohr3 0.235 0.081 0.0435 0.0561
R2 Bohr2 0.073 0.302 0.331 0.5432
U0 eV 0.014 0.012 0.00632 0.0153
U eV 0.019 0.013 0.00628 0.0144
H eV 0.014 0.012 0.00653 0.0147
G eV 0.014 0.012 0.00756 0.0144

5) On hMOF dataset

Property Unit MAD MAE MAD:MAE R2 RMSE
Grav. surface area m2 g-1 1430.82 91.15 15.70 0.99 180.89
Vol. surface area m2 cm-3 561.44 107.81 5.21 0.91 229.24
Void fraction No unit 0.16 0.017 9.41 0.98 0.03
LCD Å 3.44 0.75 4.56 0.83 1.83
PLD Å 3.55 0.92 3.86 0.78 2.12
All adsp mol kg-1 1.70 0.18 9.44 0.95 0.49
Adsp at 0.01bar mol kg-1 0.12 0.04 3.00 0.77 0.11
Adsp at 2.5bar mol kg-1 2.16 0.48 4.50 0.90 0.97

6) On qMOF dataset

MAE on electronic bandgap 0.20 eV

7) On OMDB dataset

coming soon!

8) On HOPV dataset

coming soon!

9) On QETB dataset

coming soon!

10) On OpenCatalyst dataset

On 10k dataset:

DataSplit CGCNN DimeNet SchNet DimeNet++ ALIGNN MAD: MAE
10k 0.988 1.0117 1.059 0.8837 0.61 -

Useful notes (based on some of the queries we received)

  1. If you are using GPUs, make sure you have a compatible dgl-cuda version installed, for example: dgl-cu101 or dgl-cu111, so e.g. pip install dgl-cu111 .
  2. While comnventional '.cif' and '.pdb' files can be read using jarvis-tools, for complex files you might have to install cif2cell and pytraj respectively i.e.pip install cif2cell==2.0.0a3 and conda install -c ambermd pytraj.
  3. Make sure you use batch_size as 32 or 64 for large datasets, and not 2 as given in the example config file, else it will take much longer to train, and performnce might drop a lot.
  4. Note that train_alignn.py and pretrained.py in alignn folder are actually python executable scripts. So, even if you don't provide absolute path of these scripts, they should work.
  5. Learn about the issue with QM9 results here: usnistgov#54
  6. Make sure you have pandas version as >1.2.3.
  7. Starting March 2024, pytroch-ignite dependency will be removed to enable conda-forge build.

References

  1. Atomistic Line Graph Neural Network for improved materials property predictions
  2. Prediction of the Electron Density of States for Crystalline Compounds with Atomistic Line Graph Neural Networks (ALIGNN)
  3. Recent advances and applications of deep learning methods in materials science
  4. Designing High-Tc Superconductors with BCS-inspired Screening, Density Functional Theory and Deep-learning
  5. A Deep-learning Model for Fast Prediction of Vacancy Formation in Diverse Materials
  6. Graph neural network predictions of metal organic framework CO2 adsorption properties
  7. Rapid Prediction of Phonon Structure and Properties using an Atomistic Line Graph Neural Network (ALIGNN)
  8. Unified graph neural network force-field for the periodic table
  9. Large Scale Benchmark of Materials Design Methods

Please see detailed publications list here.

How to contribute

For detailed instructions, please see Contribution instructions

Correspondence

Please report bugs as Github issues (https://github.com/usnistgov/alignn/issues) or email to [email protected].

Funding support

NIST-MGI (https://www.nist.gov/mgi).

Code of conduct

Please see Code of conduct

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