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Rigorous theories connecting physical properties of a heterogeneous material to its microstructure offer a promising avenue to guide the computational material design and optimization. We present here an efficient Fourier-space based…

Materials Science · Physics 2024-12-13 Wenlong Shi , Yang Jiao , Salvatore Torquato

The influence of the microstructure of a polycrystalline material on its macroscopic deformation response is still one of the major problems in materials engineering. For materials characterized by elastic-plastic deformation responses,…

Materials Science · Physics 2022-02-07 Jan N. Fuhg , Lloyd van Wees , Mark Obstalecki , Paul Shade , Nikolaos Bouklas , Matthew Kasemer

Successful scientific applications of large-scale molecular dynamics often rely on automated methods for identifying the local crystalline structure of condensed phases. Many existing methods for structural identification, such as Common…

Materials Science · Physics 2016-05-24 Peter Mahler Larsen , Søren Schmidt , Jakob Schiøtz

To gain insight into the mechanisms behind machine learning methods, it is crucial to establish connections among the features describing data points. However, these correlations often exhibit a high-dimensional and strongly nonlinear…

Machine Learning · Computer Science 2025-03-04 Lorenzo Basile , Santiago Acevedo , Luca Bortolussi , Fabio Anselmi , Alex Rodriguez

We explore data analysis techniques for signatures from heavy particle production during inflation. Heavy particules can be produced by time dependent masses and couplings, which are ubiquitous in string theory. These localized excitations…

Cosmology and Nongalactic Astrophysics · Physics 2019-12-11 Moritz Münchmeyer , Kendrick M. Smith

This paper reviews the current state-of-the-art in the simulation of the mechanical behavior of polycrystalline materials by means of computational homogenization. The key ingredients of this modelling strategy are presented in detail…

Materials Science · Physics 2018-11-22 J. Segurado , R. A. Lebensohn , J. LLorca

Feature representation and metric learning are two critical components in person re-identification models. In this paper, we focus on the feature representation and claim that hand-crafted histogram features can be complementary to…

Computer Vision and Pattern Recognition · Computer Science 2016-11-18 Shangxuan Wu , Ying-Cong Chen , Xiang Li , An-Cong Wu , Jin-Jie You , Wei-Shi Zheng

The current investigation aims to study the ground-state properties of one of the most interesting isotopic chains in the periodic table, 94-168Sn, from the proton drip line to the neutron drip line by using the covariant density functional…

Nuclear Theory · Physics 2019-04-24 Younes El Bassem , Mostafa Oulne

Computer-Aided Design (CAD) plays a pivotal role in industrial manufacturing, yet 2D Parametric Primitive Analysis (PPA) remains underexplored due to two key challenges: structural constraint reasoning and advanced semantic understanding.…

Computer Vision and Pattern Recognition · Computer Science 2025-06-03 Ke Niu , Yuwen Chen , Haiyang Yu , Zhuofan Chen , Xianghui Que , Bin Li , Xiangyang Xue

We develop a polycrystal graph neural network (PGNN) model for predicting the effective properties of polycrystalline materials, using the Li7La3Zr2O12 ceramic as an example. A large-scale dataset with >5000 different three-dimensional…

Materials Science · Physics 2023-06-09 Minyi Dai , Mehmet F. Demirel , Xuanhan Liu , Yingyu Liang , Jia-Mian Hu

Polymer conformation generation is a critical task that enables atomic-level studies of diverse polymer materials. While significant advances have been made in designing conformation generation methods for small molecules and proteins,…

Soft Condensed Matter · Physics 2025-05-23 Fanmeng Wang , Wentao Guo , Qi Ou , Hongshuai Wang , Haitao Lin , Hongteng Xu , Zhifeng Gao

Heterogeneous materials, crucial in various engineering applications, exhibit complex multiscale behavior, which challenges the effectiveness of traditional computational methods. In this work, we introduce the Micromechanics Transformer…

Computational Engineering, Finance, and Science · Computer Science 2024-10-10 Sifan Wang , Tong-Rui Liu , Shyam Sankaran , Paris Perdikaris

Principal Component Analysis is a key technique for reducing the complexity of high-dimensional data while preserving its fundamental data structure, ensuring models remain stable and interpretable. This is achieved by transforming the…

Methodology · Statistics 2025-03-25 Nuwan Weeraratne , Lyn Hunt , Jason Kurz

Multiscale phenomena exhibit complex structure-function relationships, and predicting their macroscopic behavior requires deducing differential equations at different scales. The complexity of these equations and the number of essential…

Mathematical Physics · Physics 2023-07-25 Vincenzo Fazio , Nicola Maria Pugno , Orazio Giustolisi , Giuseppe Puglisi

Identifying local structural motifs and packing patterns of molecular solids is a challenging task for both simulation and experiment. We demonstrate two novel approaches to characterize local environments in different polymorphs of…

Materials Science · Physics 2024-04-02 Daisuke Kuroshima , Michael Kilgour , Mark E. Tuckerman , Jutta Rogal

Accurate prediction of polymer properties is essential for materials design, but remains challenging due to data scarcity, diverse polymer representations, and the lack of systematic evaluation across modelling choices. Here, we present…

Soft Condensed Matter · Physics 2026-03-17 Gaopeng Ren , Yijie Yang , Jiajun Zhou , Kim E. Jelfs

Understanding the response of an output variable to multi-dimensional inputs lies at the heart of many data exploration endeavours. Topology-based methods, in particular Morse theory and persistent homology, provide a useful framework for…

Graphics · Computer Science 2022-08-16 Yarden Livnat , Dan Maljovec , Attila Gyulassy , Dr Baptiste Mouginot , Valerio Pascucci

Characteristic functions of weighted sums of independent random variables exhibit low-rank structure in the quantized tensor train (QTT) representation, also known as matrix product states (MPS), enabling up to exponential compression of…

Machine Learning · Statistics 2026-03-25 Juan José Rodríguez-Aldavero , Juan José García-Ripoll

By using the most sensitive two-point correlation functions introduced to date, we reconstruct the microstructures of two-phase random media with heretofore unattained accuracy. Such media arise in a host of contexts, including porous and…

Materials Science · Physics 2015-06-03 Chase E. Zachary , Salvatore Torquato

Superfunctional materials are defined as materials with specific properties being superior to the functions of engineering materials. Numerous studies introduced severe plastic deformation (SPD) as an effective process to improve the…

Materials Science · Physics 2023-01-10 Kaveh Edalati