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Accurate prediction of dielectric tensors is essential for accelerating the discovery of next-generation inorganic dielectric materials. Existing machine learning approaches, such as equivariant graph neural networks, typically rely on…

材料科学 · 物理学 2026-01-13 Haowei Hua , Chen Liang , Ding Pan , Irwin King , Shengchao Liu , Koji Tsuda , Wanyu Lin

Modern E(3)-Equivariant networks may be used to predict rotationally equivariant properties, including tensorial quantities. Three such quantities: the dielectric, piezoelectric, and elasticity tensors, are computationally expensive to…

计算物理 · 物理学 2024-11-27 Alex Heilman , Claire Schlesinger , Qimin Yan

We consider the prediction of general tensor properties of crystalline materials, including dielectric, piezoelectric, and elastic tensors. A key challenge here is how to make the predictions satisfy the unique tensor equivariance to O(3)…

材料科学 · 物理学 2024-06-21 Keqiang Yan , Alexandra Saxton , Xiaofeng Qian , Xiaoning Qian , Shuiwang Ji

Equivariant neural networks offer strong inductive biases for learning from molecular and geometric data but often rely on specialized, computationally expensive tensor operations. We present a framework to transfers existing tensor field…

机器学习 · 计算机科学 2025-10-01 Gerrit Gerhartz , Peter Lippmann , Fred A. Hamprecht

Canonicalization is a widely used strategy in equivariant machine learning, enforcing symmetry in neural networks by mapping each input to a standard form. Yet, it often introduces discontinuities that can affect stability during training,…

机器学习 · 计算机科学 2026-04-17 Ya-Wei Eileen Lin , Ron Levie

Crystal Structure Prediction (CSP) aims to discover solid crystalline materials by optimizing periodic arrangements of atoms, ions or molecules. CSP takes weeks of supercomputer time because of slow energy minimizations for millions of…

材料科学 · 物理学 2021-08-17 Jakob Ropers , Marco M Mosca , Olga Anosova , Vitaliy Kurlin , Andrew I Cooper

Accurately and comprehensively representing crystal structures is critical for advancing machine learning in large-scale crystal materials simulations, however, effectively capturing and leveraging the intricate geometric and topological…

机器学习 · 计算机科学 2025-07-22 Liang Zhang , Kong Chen , Yuen Wu

Crystal structure prediction is a fundamental problem in materials science. We present CrystalFormer-CSP, an efficient framework that unifies data-driven heuristic and physics-driven optimization approaches to predict stable crystal…

材料科学 · 物理学 2025-12-23 Zhendong Cao , Shigang Ou , Lei Wang

Periodic material or crystal property prediction using machine learning has grown popular in recent years as it provides a computationally efficient replacement for classical simulation methods. A crucial first step for any of these…

机器学习 · 计算机科学 2024-05-08 Jonathan Balasingham , Viktor Zamaraev , Vitaliy Kurlin

Reliable and robust methods of predicting the crystal structure of a compound, based only on its chemical composition, is crucial to the study of materials and their applications. Despite considerable ongoing research efforts, crystal…

材料科学 · 物理学 2017-07-26 Qi-Jun Hong , Joseph Yasi , Axel van de Walle

Crystal property prediction is a crucial aspect of developing novel materials. However, there are two technical challenges to be addressed for speeding up the investigation of crystals. First, labeling crystal properties is intrinsically…

机器学习 · 计算机科学 2023-06-12 Haomin Yu , Yanru Song , Jilin Hu , Chenjuan Guo , Bin Yang

Canonicalization provides an architecture-agnostic method for enforcing equivariance, with generalizations such as frame-averaging recently gaining prominence as a lightweight and flexible alternative to equivariant architectures. Recent…

机器学习 · 计算机科学 2024-06-19 Nadav Dym , Hannah Lawrence , Jonathan W. Siegel

This work introduces a novel approach to achieving architecture-agnostic equivariance in deep learning, particularly addressing the limitations of traditional layerwise equivariant architectures and the inefficiencies of the existing…

机器学习 · 计算机科学 2024-11-18 Siba Smarak Panigrahi , Arnab Kumar Mondal

The use of machine learning methods for accelerating the design of crystalline materials usually requires manually constructed feature vectors or complex transformation of atom coordinates to input the crystal structure, which either…

材料科学 · 物理学 2018-04-10 Tian Xie , Jeffrey C. Grossman

Low-rank tensor factorization or completion is well-studied and applied in various online settings, such as online tensor factorization (where the temporal mode grows) and online tensor completion (where incomplete slices arrive gradually).…

机器学习 · 计算机科学 2022-05-10 Chaoqi Yang , Cheng Qian , Jimeng Sun

In diffraction-based crystal structure analysis, thermal ellipsoids, quantified via Anisotropic Displacement Parameters (ADPs), are critical yet challenging to determine. ADPs capture atomic vibrations, reflecting thermal and structural…

Efficiently predicting properties of porous crystalline materials has great potential to accelerate the high throughput screening process for developing new materials, as simulations carried out using first principles model are often…

机器学习 · 计算机科学 2023-11-30 Marko Petković , Pablo Romero-Marimon , Vlado Menkovski , Sofia Calero

Crystal Structure Prediction (CSP) is crucial in various scientific disciplines. While CSP can be addressed by employing currently-prevailing generative models (e.g. diffusion models), this task encounters unique challenges owing to the…

材料科学 · 物理学 2024-03-08 Rui Jiao , Wenbing Huang , Peijia Lin , Jiaqi Han , Pin Chen , Yutong Lu , Yang Liu

The aim of this paper is to provide a fast and efficient procedure for (real-time) target identification in imaging based on matching on a dictionary of precomputed generalized polarization tensors (GPTs). The approach is based on some…

最优化与控制 · 数学 2013-02-27 Habib Ammari , Thomas Boulier , Josselin Garnier , Wenjia Jing , Hyœnbæ Kang , Han Wang

The prediction of energetically stable crystal structures formed by a given chemical composition is a central problem in solid-state physics. In principle, the crystalline state of assembled atoms can be determined by optimizing the energy…

材料科学 · 物理学 2022-06-01 Minoru Kusaba , Chang Liu , Ryo Yoshida
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