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Polycrystalline materials have numerous applications due to their unique properties, which are often determined by the grain boundaries. Hence, quantitative characterization of grain as well as interface orientation is essential to optimize…

Despite the successes of deep learning in computer vision, difficulties persist in recognizing objects that have undergone group-symmetric transformations rarely seen during training$\unicode{x2013}$for example objects seen in unusual…

Computer Vision and Pattern Recognition · Computer Science 2026-03-11 Minh Dinh , Stéphane Deny

A Model capable of handling various elemental species and substances is essential for discovering new materials in the vast phase and compound space. Message-passing neural networks (MPNNs) are promising as such models, in which various…

Computational Physics · Physics 2024-02-09 Kento Nishio , Kiyou Shibata , Teruyasu Mizoguchi

The rapid adoption of machine learning (ML) in domain sciences necessitates best practices and standardized benchmarking for performance evaluation. We present Matbench Discovery, an evaluation framework for ML energy models, applied as…

Metallic Glasses (MGs) are widely used materials that are stronger than steel while being shapeable as plastic. While understanding the structure-property relationship of MGs remains a challenge in materials science, studying their energy…

Disordered Systems and Neural Networks · Physics 2024-09-05 Haoyu Li , Shichang Zhang , Longwen Tang , Mathieu Bauchy , Yizhou Sun

Graph neural networks (GNNs) have emerged as a versatile and efficient option for modeling the dynamic behavior of deformable materials. While GNNs generalize readily to arbitrary shapes, mesh topologies, and material parameters, existing…

Machine Learning · Computer Science 2026-04-30 Jiahong Wang , Logan Numerow , Stelian Coros , Christian Theobalt , Vahid Babaei , Bernhard Thomaszewski

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…

In this work, we focus on using convolution neural networks (CNN) to perform object recognition on the event data. In object recognition, it is important for a neural network to be robust to the variations of the data during testing. For…

Computer Vision and Pattern Recognition · Computer Science 2019-12-02 Ziyun Wang

We present a new class of equivariant neural networks, hereby dubbed Lattice-Equivariant Neural Networks (LENNs), designed to satisfy local symmetries of a lattice structure. Our approach develops within a recently introduced framework…

Computational Physics · Physics 2025-04-30 Giulio Ortali , Alessandro Gabbana , Imre Atmodimedjo , Alessandro Corbetta

We propose a message passing neural network architecture designed to be equivariant to column and row permutations of a matrix. We illustrate its advantages over traditional architectures like multi-layer perceptrons (MLPs), convolutional…

Machine Learning · Computer Science 2022-02-01 Augusto Peres , Eduardo Dias , Luís Sarmento , Hugo Penedones

This study presents a deep learning approach to predicting structural and electronic properties of materials using Graph Neural Networks (GNNs). Leveraging data from the Materials Project database, we construct graph representations of…

Disordered Systems and Neural Networks · Physics 2024-12-20 Selva Chandrasekaran Selvaraj

The discovery of new crystalline materials is essential to scientific and technological progress. However, traditional trial-and-error approaches are inefficient due to the vast search space. Recent advancements in machine learning have…

Machine Learning · Computer Science 2025-02-17 Laura Ruple , Luca Torresi , Henrik Schopmans , Pascal Friederich

By conceiving physical systems as 3D many-body point clouds, geometric graph neural networks (GNNs), such as SE(3)/E(3) equivalent GNNs, have showcased promising performance. In particular, their effective message-passing mechanics make…

Machine Learning · Computer Science 2024-01-30 Weitao Du , Shengchao Liu , Xuecang Zhang

The revolution in materials in the past century was built on a knowledge of the atomic arrangements and the structure-property relationship. The sine qua non for obtaining quantitative structural information is single crystal…

Computational Physics · Physics 2023-12-27 Gabe Guo , Judah Goldfeder , Ling Lan , Aniv Ray , Albert Hanming Yang , Boyuan Chen , Simon JL Billinge , Hod Lipson

Deep generative models are increasingly used for molecular discovery, with most recent approaches relying on equivariant graph neural networks (GNNs) under the assumption that explicit equivariance is essential for generating high-quality…

Machine Learning · Computer Science 2025-07-15 Ewa M. Nowara , Joshua Rackers , Patricia Suriana , Pan Kessel , Max Shen , Andrew Martin Watkins , Michael Maser

Evolving Cascade Neural Networks (ECNNs) and a new training algorithm capable of selecting informative features are described. The ECNN initially learns with one input node and then evolves by adding new inputs as well as new hidden…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Vitaly Schetinin

Microstructural evolution is a key aspect of understanding and exploiting the structure-property-performance relation of materials. Modeling microstructure evolution usually relies on coarse-grained simulations with evolution principles…

Materials Science · Physics 2020-09-01 Kaiqi Yang , Yifan Cao , Youtian Zhang , Ming Tang , Daniel Aberg , Babak Sadigh , Fei Zhou

Composite materials with different microstructural material symmetries are common in engineering applications where grain structure, alloying and particle/fiber packing are optimized via controlled manufacturing. In fact these…

Materials Science · Physics 2024-04-30 Ravi Patel , Cosmin Safta , Reese E. Jones

Crystal structures are characterized by atomic bases within a primitive unit cell that repeats along a regular lattice throughout 3D space. The periodic and infinite nature of crystals poses unique challenges for geometric graph…

Machine Learning · Computer Science 2024-03-19 Keqiang Yan , Cong Fu , Xiaofeng Qian , Xiaoning Qian , Shuiwang Ji

State-of-the-art deep learning systems often require large amounts of data and computation. For this reason, leveraging known or unknown structure of the data is paramount. Convolutional neural networks (CNNs) are successful examples of…

Computer Vision and Pattern Recognition · Computer Science 2020-12-07 Carlos Esteves