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The complex arrangements of atoms near grain boundaries are difficult to understand theoretically. We propose a phenomenological (Ginzburg-Landau-like) description of crystalline phases based on symmetries and fairly general stability…

Materials Science · Physics 2015-06-25 Denis Boyer , David Romeu

A variant of the U-Net convolutional neural network architecture is proposed to estimate linear elastic compatibility stresses in a-Zr (hcp) polycrystalline grain structures. Training data was generated using VGrain software with a…

Materials Science · Physics 2023-03-16 J. D. Langcaster , D. S. Balint , M. R. Wenman

Graphical modeling is a widely used tool for analyzing conditional dependencies between variables and traditional methods may struggle to capture shared and distinct structures in multi-group or multi-condition settings. Joint graphical…

Methodology · Statistics 2025-03-10 Duong H. T. Vo , Nelofer Syed , Thomas Thorne

Autonomous synthesis and characterization of inorganic materials requires the automatic and accurate analysis of X-ray diffraction spectra. For this task, we designed a probabilistic deep learning algorithm to identify complex multi-phase…

Materials Science · Physics 2021-05-27 Nathan J. Szymanski , Christopher J. Bartel , Yan Zeng , Qingsong Tu , Gerbrand Ceder

Faces-classes of grains, often referred to as topological features, largely dictate the evolution of polycrystalline microstructures during grain growth. Realising these topological features is generally an arduous task, often demanding…

Materials Science · Physics 2023-01-02 Mridhula Venkatanarayanan , P G Kubendran Amos

Structured pruning is a popular method to reduce the cost of convolutional neural networks, that are the state of the art in many computer vision tasks. However, depending on the architecture, pruning introduces dimensional discrepancies…

Neural and Evolutionary Computing · Computer Science 2022-12-13 Hugo Tessier , Vincent Gripon , Mathieu Léonardon , Matthieu Arzel , David Bertrand , Thomas Hannagan

Texture synthesis is widely used in the field of computer graphics, vision, and image processing. In the present paper, a texture synthesis algorithm is proposed for near-regular natural textures with the help of a representative periodic…

Computer Vision and Pattern Recognition · Computer Science 2017-06-23 V. Asha

We present the first fixed-parameter algorithm for constructing a tree-child phylogenetic network that displays an arbitrary number of binary input trees and has the minimum number of reticulations among all such networks. The algorithm…

Discrete Mathematics · Computer Science 2019-07-22 Leo van Iersel , Remie Janssen , Mark Jones , Yukihiro Murakami , Norbert Zeh

We propose a novel architecture for Graph Neural Networks that is inspired by the idea behind Tree Kernels of measuring similarity between trees by taking into account their common substructures, named fragments. By imposing a series of…

Computation and Language · Computer Science 2021-10-04 Federico Ruggeri , Marco Lippi , Paolo Torroni

The counting grid is a grid of microtopics, sparse word/feature distributions. The generative model associated with the grid does not use these microtopics individually. Rather, it groups them in overlapping rectangular windows and uses…

Machine Learning · Statistics 2016-06-09 Nebojsa Jojic , Alessandro Perina , Dongwoo Kim

Material identification is critical for understanding the relationship between mechanical properties and the associated mechanical functions. However, material identification is a challenging task, especially when the characteristic of the…

Materials Science · Physics 2022-11-29 Wensi Wu , Mitchell Daneker , Matthew A. Jolley , Kevin T. Turner , Lu Lu

Polycrystal microstructures, with their distinct physical, chemical, structural and topological entities, play an important role in determining the effective properties of materials. Particularly for computational studies, the well-known…

Materials Science · Physics 2021-07-07 Prince Henry Serrao , Stefan Sandfeld , Aruna Prakash

Experimental grain growth observations often deviate from grain growth simulations, revealing that the governing rules for grain boundary motion are not fully understood. A novel deep learning model was developed to capture grain growth…

Recent application of neural networks (NNs) to modeling interatomic interactions has shown the learning machines' encouragingly accurate performance for select elemental and multicomponent systems. In this study, we explore the possibility…

Materials Science · Physics 2017-02-08 Samad Hajinazar , Junping Shao , Aleksey N. Kolmogorov

Material microstructures are traditionally compared using sets of statistical measures that are incomplete, e.g., two visually distinct microstructures can have identical grain size distributions and phase fractions. While this is not a…

Computational Physics · Physics 2025-10-14 Dylan Miley , Ethan Suwandi , Benjamin Schweinhart , Jeremy K Mason

Hierarchical crack patterns that arise during the drying of thin films of colloidal dispersions or polymer solutions on a solid substrate are of interest both from a fundamental standpoint and in the context of the creation of transparent…

Disordered Systems and Neural Networks · Physics 2026-03-26 Yuri Yu. Tarasevich , Andrei V. Eserkepov , Andrei S. Burmistrov

Sampling from diffusion probabilistic models (DPMs) is often expensive for high-quality image generation and typically requires many steps with a large model. In this paper, we introduce sampling Trajectory Stitching T-Stitch, a simple yet…

Computer Vision and Pattern Recognition · Computer Science 2024-02-23 Zizheng Pan , Bohan Zhuang , De-An Huang , Weili Nie , Zhiding Yu , Chaowei Xiao , Jianfei Cai , Anima Anandkumar

Phylogenetic networks are used to represent the evolutionary history of species. Recently, the new class of orchard networks was introduced, which were later shown to be interpretable as trees with additional horizontal arcs. This makes the…

Combinatorics · Mathematics 2023-05-09 Leo van Iersel , Mark Jones , Esther Julien , Yukihiro Murakami

We propose and study a set of algorithms for discovering community structure in networks -- natural divisions of network nodes into densely connected subgroups. Our algorithms all share two definitive features: first, they involve iterative…

Statistical Mechanics · Physics 2009-11-10 M. E. J. Newman , M. Girvan

Architected materials achieve unique mechanical properties through precisely engineered microstructures that minimize material usage. However, a key challenge of low-density materials is balancing high stiffness with stable deformability up…

Materials Science · Physics 2024-09-20 Matheus I. N. Rosa , Konstantinos Karapiperis , Kaoutar Radi , Dennis M. Kochmann
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