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We propose a machine learning approach to address a key challenge in materials science: predicting how fractures propagate in brittle materials under stress, and how these materials ultimately fail. Our methods use deep learning and train…

We recently developed a deep learning method that can determine the critical peak stress of a material by looking at scanning electron microscope (SEM) images of the material's crystals. However, it has been somewhat unclear what kind of…

Image and Video Processing · Electrical Eng. & Systems 2021-11-09 Ian A. Palmer , T. Nathan Mundhenk , Brian Gallagher , Yong Han

Machine learning (ML) models have emerged as powerful tools for accelerating materials discovery and design by enabling accurate predictions of properties from compositional and structural data. These capabilities are vital for developing…

We have developed an image-based convolutional neural network (CNN) that is applicable for quantitative time-resolved measurements of the fragmentation behavior of opaque brittle materials using ultra-high speed optical imaging. This model…

Materials Science · Physics 2024-07-19 Erwin Cazares , Brian E. Schuster

Machine learning, deep learning, has been accelerating computational physics, which has been used to simulate systems on a lattice. Equivariance is essential to simulate a physical system because it imposes a strong induction bias for the…

High Energy Physics - Lattice · Physics 2023-10-23 Akio Tomiya , Yuki Nagai

Graph neural networks excel at modeling pairwise interactions, but they cannot flexibly accommodate higher-order interactions and features. Topological deep learning (TDL) has emerged recently as a promising tool for addressing this issue.…

Machine Learning · Computer Science 2025-02-07 Claudio Battiloro , Ege Karaismailoğlu , Mauricio Tec , George Dasoulas , Michelle Audirac , Francesca Dominici

Information networks are ubiquitous and are ideal for modeling relational data. Networks being sparse and irregular, network embedding algorithms have caught the attention of many researchers, who came up with numerous embeddings algorithms…

Machine Learning · Computer Science 2020-09-25 Junshan Wang , Yilun Jin , Guojie Song , Xiaojun Ma

In order to make accurate predictions of material properties, current machine-learning approaches generally require large amounts of data, which are often not available in practice. In this work, an all-round framework is presented which…

Materials Science · Physics 2021-07-09 Pierre-Paul De Breuck , Geoffroy Hautier , Gian-Marco Rignanese

In modern computational materials science, deep learning has shown the capability to predict interatomic potentials, thereby supporting and accelerating conventional simulations. However, existing models typically sacrifice either accuracy…

Computational Engineering, Finance, and Science · Computer Science 2024-10-08 Ziduo Yang , Xian Wang , Yifan Li , Qiujie Lv , Calvin Yu-Chian Chen , Lei Shen

Message-passing has proved to be an effective way to design graph neural networks, as it is able to leverage both permutation equivariance and an inductive bias towards learning local structures in order to achieve good generalization.…

Machine Learning · Computer Science 2020-10-26 Clement Vignac , Andreas Loukas , Pascal Frossard

Data over non-Euclidean manifolds, often discretized as surface meshes, naturally arise in computer graphics and biological and physical systems. In particular, solutions to partial differential equations (PDEs) over manifolds depend…

Machine Learning · Computer Science 2023-11-06 Jung Yeon Park , Lawson L. S. Wong , Robin Walters

The accuracy and fidelity of deformation simulations are highly dependent upon the underlying constitutive material model. Commonly used linear or nonlinear constitutive material models only cover a tiny part of possible material behavior.…

Graphics · Computer Science 2018-08-16 Bin Wang , Paul Kry , Yuanmin Deng , Uri Ascher , Hui Huang , Baoquan Chen

Convolutional neural networks (CNNs) have achieved state-of-the-art results on many visual recognition tasks. However, current CNN models still exhibit a poor ability to be invariant to spatial transformations of images. Intuitively, with…

Computer Vision and Pattern Recognition · Computer Science 2019-12-04 Xu Shen , Xinmei Tian , Anfeng He , Shaoyan Sun , Dacheng Tao

Predicting protein properties is paramount for biological and medical advancements. Current protein engineering mutates on a typical protein, called the wild-type, to construct a family of homologous proteins and study their properties.…

Machine Learning · Computer Science 2024-06-26 Zhiqiang Zhong , Davide Mottin

Mesh-based 3D static analysis methods have recently emerged as efficient alternatives to traditional computational numerical solvers, significantly reducing computational costs and runtime for various physics-based analyses. However, these…

Computer Vision and Pattern Recognition · Computer Science 2025-05-29 Sungwon Kim , Namkyeong Lee , Yunyoung Doh , Seungmin Shin , Guimok Cho , Seung-Won Jeon , Sangkook Kim , Chanyoung Park

Deep Convolutional Neural Networks (DCNNs) commonly use generic `max-pooling' (MP) layers to extract deformation-invariant features, but we argue in favor of a more refined treatment. First, we introduce epitomic convolution as a building…

Computer Vision and Pattern Recognition · Computer Science 2014-12-02 George Papandreou , Iasonas Kokkinos , Pierre-André Savalle

Understanding structure-property relationships in materials is fundamental in condensed matter physics and materials science. Over the past few years, machine learning (ML) has emerged as a powerful tool for advancing this understanding and…

The accurate description of electrostatic interactions remains a challenging problem for fitted potential-energy functions. The commonly used fixed partial-charge approximation fails to reproduce the electrostatic potential at short range…

Chemical Physics · Physics 2022-04-05 Moritz Thürlemann , Lennard Böselt , Sereina Riniker

Machine Learning (ML) techniques are revolutionizing the way to perform efficient materials modeling. Nevertheless, not all the ML approaches allow for the understanding of microscopic mechanisms at play in different phenomena. To address…

Materials Science · Physics 2022-06-22 Udaykumar Gajera , Loriano Storchi , Danila Amoroso , Francesco Delodovici , Silvia Picozzi

The ability to perform fast and accurate atomistic simulations is crucial for advancing the chemical sciences. By learning from high-quality data, machine-learned interatomic potentials achieve accuracy on par with ab initio and…