Towards Symmetry-Aware Generation of Periodic Materials
- URL: http://arxiv.org/abs/2307.02707v2
- Date: Sun, 5 Nov 2023 14:43:55 GMT
- Title: Towards Symmetry-Aware Generation of Periodic Materials
- Authors: Youzhi Luo, Chengkai Liu, Shuiwang Ji
- Abstract summary: We propose SyMat, a novel material generation approach that can capture physical symmetries of periodic material structures.
SyMat generates atom types and lattices of materials through generating atom type sets, lattice lengths and lattice angles with a variational auto-encoder model.
We show that SyMat is theoretically invariant to all symmetry transformations on materials and demonstrate that SyMat achieves promising performance on random generation and property optimization tasks.
- Score: 64.21777911715267
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We consider the problem of generating periodic materials with deep models.
While symmetry-aware molecule generation has been studied extensively, periodic
materials possess different symmetries, which have not been completely captured
by existing methods. In this work, we propose SyMat, a novel material
generation approach that can capture physical symmetries of periodic material
structures. SyMat generates atom types and lattices of materials through
generating atom type sets, lattice lengths and lattice angles with a
variational auto-encoder model. In addition, SyMat employs a score-based
diffusion model to generate atom coordinates of materials, in which a novel
symmetry-aware probabilistic model is used in the coordinate diffusion process.
We show that SyMat is theoretically invariant to all symmetry transformations
on materials and demonstrate that SyMat achieves promising performance on
random generation and property optimization tasks. Our code is publicly
available as part of the AIRS library (https://github.com/divelab/AIRS).
Related papers
- Learning Infinitesimal Generators of Continuous Symmetries from Data [15.42275880523356]
We propose a novel symmetry learning algorithm based on transformations defined with one- parameter groups.
Our method is built upon minimal inductive biases, encompassing not only commonly utilized symmetries rooted in Lie groups but also extending to symmetries derived from nonlinear generators.
arXiv Detail & Related papers (2024-10-29T08:28:23Z) - A Unified Framework to Enforce, Discover, and Promote Symmetry in Machine Learning [5.1105250336911405]
We provide a unifying theoretical and methodological framework for incorporating symmetry into machine learning models.
We show that enforcing and discovering symmetry are linear-algebraic tasks that are dual with respect to the bilinear structure of the Lie derivative.
We propose a novel way to promote symmetry by introducing a class of convex regularization functions based on the Lie derivative and nuclear norm relaxation.
arXiv Detail & Related papers (2023-11-01T01:19:54Z) - Scalable Diffusion for Materials Generation [99.71001883652211]
We develop a unified crystal representation that can represent any crystal structure (UniMat)
UniMat can generate high fidelity crystal structures from larger and more complex chemical systems.
We propose additional metrics for evaluating generative models of materials.
arXiv Detail & Related papers (2023-10-18T15:49:39Z) - Geometric Neural Diffusion Processes [55.891428654434634]
We extend the framework of diffusion models to incorporate a series of geometric priors in infinite-dimension modelling.
We show that with these conditions, the generative functional model admits the same symmetry.
arXiv Detail & Related papers (2023-07-11T16:51:38Z) - FAENet: Frame Averaging Equivariant GNN for Materials Modeling [123.19473575281357]
We introduce a flexible framework relying on frameaveraging (SFA) to make any model E(3)-equivariant or invariant through data transformations.
We prove the validity of our method theoretically and empirically demonstrate its superior accuracy and computational scalability in materials modeling.
arXiv Detail & Related papers (2023-04-28T21:48:31Z) - Oracle-Preserving Latent Flows [58.720142291102135]
We develop a methodology for the simultaneous discovery of multiple nontrivial continuous symmetries across an entire labelled dataset.
The symmetry transformations and the corresponding generators are modeled with fully connected neural networks trained with a specially constructed loss function.
The two new elements in this work are the use of a reduced-dimensionality latent space and the generalization to transformations invariant with respect to high-dimensional oracles.
arXiv Detail & Related papers (2023-02-02T00:13:32Z) - Deep Learning Symmetries and Their Lie Groups, Algebras, and Subalgebras
from First Principles [55.41644538483948]
We design a deep-learning algorithm for the discovery and identification of the continuous group of symmetries present in a labeled dataset.
We use fully connected neural networks to model the transformations symmetry and the corresponding generators.
Our study also opens the door for using a machine learning approach in the mathematical study of Lie groups and their properties.
arXiv Detail & Related papers (2023-01-13T16:25:25Z) - Tensor-reduced atomic density representations [0.0]
Graph neural networks escape scaling by mapping chemical element information into a fixed dimensional space in a learnable way.
We recast this approach as tensor factorisation by exploiting the tensor structure of standard neighbour density based descriptors.
In doing so, we form compact tensor-reduced representations whose size does not depend on the number of chemical elements.
arXiv Detail & Related papers (2022-10-02T01:08:50Z) - Learning the nonlinear dynamics of soft mechanical metamaterials with
graph networks [3.609538870261841]
We propose a machine learning approach to study the dynamics of soft mechanical metamaterials.
The proposed approach can significantly reduce the computational cost when compared to direct numerical simulation.
arXiv Detail & Related papers (2022-02-24T00:20:28Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.