Equivariant Message Passing Neural Network for Crystal Material Discovery
Not on the map. Why?
Abstract (arXiv)
Automatic material discovery with desired properties is a fundamental challenge for material sciences. Considerable attention has recently been devoted to generating stable crystal structures. While existing work has shown impressive success on supervised tasks such as property prediction, the progress on unsupervised tasks such as material generation is still hampered by the limited extent to which the equivalent geometric representations of the same crystal are considered. To address this challenge, we propose EMPNN a periodic equivariant message-passing neural network that learns crystal lattice deformation in an unsupervised fashion. Our model equivalently acts on lattice according to the deformation action that must be performed, making it suitable for crystal generation, relaxation and optimisation. We present experimental evaluations that demonstrate the effectiveness of our approach.
Key facts. Cited by 10 papers in the map (data through 7 Oct 2026). Builds on 6 of its 25 references that are in the map. First posted on arXiv 1 Feb 2023.
Builds on
6 of 25 references.
References · 6
- 2021E(n) Equivariant Graph Neural Networkscited by 951
- 2021GemNet: Universal Directional Graph Neural Networks for Moleculescited by 342
- 2021Crystal Diffusion Variational Autoencoder for Periodic Material Generationcited by 268
- 2020An invertible crystallographic representation for general inverse design of inorganic crystals with targeted propertiescited by 53
- 2018CrystalGAN: Learning to Discover Crystallographic Structures with Generative Adversarial Networkscited by 31
- 2018Neural Message Passing with Edge Updates for Predicting Properties of Molecules and Materialscited by 21
Built on by
Citing papers per year: 2023: 4; 2024: 1; 2025: 2; 2026: 3.
10 papers.
- 2025All that structure matches does not glittercited by 10
- 2023Vector Field Oriented Diffusion Model for Crystal Material Generationcited by 9
- 2025Materials Generation in the Era of Artificial Intelligence: A Comprehensive Surveycited by 9
- 2023Unified Model for Crystalline Material Generationcited by 3
- 2026C2NP: A Benchmark for Learning Scale-Dependent Geometric Invariances in 3D Materials Generationcited by 1
- 2026Fourier Transformers for Latent Crystallographic Diffusion and Generative Modelingcited by 1
- 2023Optimized Crystallographic Graph Generation for Material Sciencecited by 0
- 2023Local Max-Entropy and Free Energy Principles, Belief Diffusions and their Singularitiescited by 0
- 2024Bond Graphs for multi-physics informed Neural Networks for multi-variate time seriescited by 0
- 2026SCALAR: Quantifying Structural Hallucination, Consistency, and Reasoning Gaps in Materials Foundation Modelscited by 0
- 2026Fourier Transformers for Latent Crystallographic Diffusion and Generative Modeling12 Feb 2026
- 2026SCALAR: Quantifying Structural Hallucination, Consistency, and Reasoning Gaps in Materials Foundation Models29 Jan 2026
- 2026C2NP: A Benchmark for Learning Scale-Dependent Geometric Invariances in 3D Materials Generation27 Jan 2026
- 2025All that structure matches does not glitter15 Sep 2025
- 2025Materials Generation in the Era of Artificial Intelligence: A Comprehensive Survey22 May 2025
- 2024Bond Graphs for multi-physics informed Neural Networks for multi-variate time series22 May 2024
- 2023Vector Field Oriented Diffusion Model for Crystal Material Generation20 Dec 2023
- 2023Local Max-Entropy and Free Energy Principles, Belief Diffusions and their Singularities4 Oct 2023
- 2023Optimized Crystallographic Graph Generation for Material Science7 Jun 2023
- 2023Unified Model for Crystalline Material Generation7 Jun 2023