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Modeling a crystal as a periodic point set, we present a fingerprint consisting of density functions that facilitates the efficient search for new materials and material properties. We prove invariance under isometries, continuity, and…

Computational Geometry · Computer Science 2021-06-28 Herbert Edelsbrunner , Teresa Heiss , Vitaliy Kurlin , Philip Smith , Mathijs Wintraecken

Crystalline materials are widely used in technological applications, yet their discovery remains a significant challenge. As their properties are driven by structure, crystal structure prediction (CSP) methods play a central role in…

Machine Learning · Computer Science 2026-04-28 Stavros Gerolymatos , J. Kyle Brubaker , Martin J. A. Schuetz , Vladimir V. Gusev

Finding an optimal match between two different crystal structures underpins many important materials science problems, including describing solid-solid phase transitions, developing models for interface and grain boundary structures. In…

Materials Science · Physics 2020-02-21 Félix Therrien , Peter Graf , Vladan Stevanović

Materials representation plays a key role in machine learning based prediction of materials properties and new materials discovery. Currently both graph and 3D voxel representation methods are based on the heterogeneous elements of the…

Materials Science · Physics 2020-10-22 Yong Zhao , Kunpeng Yuan , Yinqiao Liu , Steph-Yves Louis , Ming Hu , Jianjun Hu

We report on a new algorithm for detection of crystallographic information in 3D, as retained in Atom Probe Tomography (APT), with improved robustness and signal detection performance. The algorithm is underpinned by 1D distribution…

Materials Science · Physics 2019-05-22 Daniel Haley , Paul A. J. Bagot , Michael P. Moody

Molecular property prediction is essential in a variety of contemporary scientific fields, such as drug development and designing energy storage materials. Although there are many machine learning models available for this purpose, those…

Machine Learning · Computer Science 2025-06-03 Gihan Panapitiya , Peiyuan Gao , C Mark Maupin , Emily G Saldanha

Atom arrangement plays a critical role in determining material properties. It is, therefore, essential for materials science and engineering to identify and characterize distinct atom configurations. Currently, crystal structures can be…

Materials Science · Physics 2023-10-18 Rafał Abram , Dariusz Chrobak

We present a graph theory-based method to characterise flow defects and structural shifts in condensed matter. We explore the connection between dynamical properties, particularly the recently introduced concept of ''softness'', and…

Disordered Systems and Neural Networks · Physics 2024-08-13 An Wang , Gabriele C. Sosso

Graph Generating Dependencies (GGDs) informally express constraints between two (possibly different) graph patterns which enforce relationships on both graph's data (via property value constraints) and its structure (via topological…

Databases · Computer Science 2022-11-02 Larissa C. Shimomura , Nikolay Yakovets , George Fletcher

We consider representation learning on periodic graphs encoding crystal materials. Different from regular graphs, periodic graphs consist of a minimum unit cell repeating itself on a regular lattice in 3D space. How to effectively encode…

Machine Learning · Computer Science 2022-09-27 Keqiang Yan , Yi Liu , Yuchao Lin , Shuiwang Ji

Recent advances in deep learning generative models (GMs) have created high capabilities in accessing and assessing complex high-dimensional data, allowing superior efficiency in navigating vast material configuration space in search of…

Materials Science · Physics 2024-11-13 Xiaoshan Luo , Zhenyu Wang , Pengyue Gao , Jian Lv , Yanchao Wang , Changfeng Chen , Yanming Ma

Graph neural networks (GNN) have been shown to provide substantial performance improvements for atomistic material representation and modeling compared with descriptor-based machine learning models. While most existing GNN models for…

Materials Science · Physics 2022-04-08 Kamal Choudhary , Brian DeCost

Deep Material Network (DMN) has recently emerged as a data-driven surrogate model for heterogeneous materials. Given a particular microstructural morphology, the effective linear and nonlinear behaviors can be successfully approximated by…

Computational Engineering, Finance, and Science · Computer Science 2023-12-15 Tianyi Li

Here, we develop a framework for the prediction and screening of native defects and functional impurities in a chemical space of Group IV, III-V, and II-VI zinc blende (ZB) semiconductors, powered by crystal Graph-based Neural Networks…

The crystallographic texture of metallic materials is a key microstructural feature that is responsible for the anisotropic behavior, e.g., important in forming operations. In materials science, crystallographic texture is commonly…

Materials Science · Physics 2023-12-08 Tarek Iraki , Lukas Morand , Norbert Link , Stefan Sandfeld , Dirk Helm

One of the greatest challenges facing our society is the discovery of new innovative crystal materials with specific properties. Recently, the problem of generating crystal materials has received increasing attention, however, it remains…

Materials Science · Physics 2023-06-08 Astrid Klipfel , Yaël Frégier , Adlane Sayede , Zied Bouraoui

Cellular solids and micro-lattices are a class of lightweight architected materials that have been established for their unique mechanical, thermal, and acoustic properties. It has been shown that by tuning material architecture, a…

Materials Science · Physics 2024-03-12 Shengzhi Luan , Enze Chen , Joel John , Stavros Gaitanaros

Graph neural networks (GNNs) have been shown to be astonishingly capable models for molecular property prediction, particularly as surrogates for expensive density functional theory calculations of relaxed energy for novel material…

Machine Learning · Computer Science 2024-08-27 Joseph Musielewicz , Janice Lan , Matt Uyttendaele , John R. Kitchin

Crystal Structure Prediction (csp) is one of the central and most challenging problems in materials science and computational chemistry. In csp, the goal is to find a configuration of ions in 3D space that yields the lowest potential…

Computational Complexity · Computer Science 2023-06-22 Duncan Adamson , Argyrios Deligkas , Vladimir Gusev , Igor Potapov

Graphs are versatile tools for representing structured data. As a result, a variety of machine learning methods have been studied for graph data analysis. Although many such learning methods depend on the measurement of differences between…

Machine Learning · Statistics 2021-06-18 Tomoki Yoshida , Ichiro Takeuchi , Masayuki Karasuyama