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We propose and study a neural operator framework for learning memory- and material microstructure-dependent constitutive laws for heterogeneous materials. We work in the two-scale setting where homogenization theory provides a systematic…

Numerical Analysis · Mathematics 2025-05-07 Kaushik Bhattacharya , Lianghao Cao , George Stepaniants , Andrew Stuart , Margaret Trautner

Aesthetics drives product differentiation in industries such as fashion, interior decor, luxury goods, real estate and hospitality. However, visual differentiation is hard to encode in formal economic analysis. This paper analyses millions…

General Economics · Economics 2026-04-22 Pranjal Rawat

The potential energy formulation and deep learning are merged to solve partial differential equations governing the deformation in hyperelastic and viscoelastic materials. The presented deep energy method (DEM) is self-contained and…

Machine Learning · Computer Science 2022-05-05 Diab W. Abueidda , Seid Koric , Rashid Abu Al-Rub , Corey M. Parrott , Kai A. James , Nahil A. Sobh

In the domain of battery research, the processing of high-resolution microscopy images is a challenging task, as it involves dealing with complex images and requires a prior understanding of the components involved. The utilization of deep…

Computer Vision and Pattern Recognition · Computer Science 2025-03-19 Ganesh Raghavendran , Bing Han , Fortune Adekogbe , Shuang Bai , Bingyu Lu , William Wu , Minghao Zhang , Ying Shirley Meng

Understanding and predicting microstructure evolution is fundamental to materials science, as it governs the resulting properties and performance of materials. Traditional simulation methods, such as phase-field models, offer high-fidelity…

Machine Learning · Computer Science 2026-02-24 Michael Trimboli , Mohammed Alsubaie , Sirani M. Perera , Ke-Gang Wang , Xianqi Li

Multiscale simulations are demanding in terms of computational resources. In the context of continuum micromechanics, the multiscale problem arises from the need of inferring macroscopic material parameters from the microscale. If the…

Materials Science · Physics 2022-08-12 Alexander Henkes , Henning Wessels

From biological organs to soft robotics, highly deformable materials are essential components of natural and engineered systems. These highly deformable materials can have heterogeneous material properties, and can experience heterogeneous…

Machine Learning · Computer Science 2023-08-31 Quan Nguyen , Emma Lejeune

Research in vertebral bone micro-structure generally requires costly procedures to obtain physical scans of real bone with a specific pathology under study, since no methods are available yet to generate realistic bone structures in-silico.…

Image and Video Processing · Electrical Eng. & Systems 2020-09-25 Emmanuel Iarussi , Felix Thomsen , Claudio Delrieux

Current methods for microplastic identification in water samples are costly and require expert analysis. Here, we propose a deep learning segmentation model to automatically identify microplastics in microscopic images. We labeled images of…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Alex Dils , David Raymond , Jack Spottiswood , Samay Kodige , Dylan Karmin , Rikhil Kokal , Win Cowger , Chris Sadée

Microstructure is key to controlling and understanding the properties of metallic materials, but traditional approaches to describing microstructure capture only a small number of features. To enable data-centric approaches to materials…

Many natural materials exhibit highly complex, nonlinear, anisotropic, and heterogeneous mechanical properties. Recently, it has been demonstrated that data-driven strain energy functions possess the flexibility to capture the behavior of…

Computational Engineering, Finance, and Science · Computer Science 2023-10-09 Vahidullah Tac , Manuel K Rausch , Ilias Bilionis , Francisco Sahli Costabal , Adrian Buganza Tepole

Advancement in manufacturing methods enable designing so called metamaterials with a tailor-made microstructure. Microstructure affects materials response within a length-scale, where we model this behavior by using the generalized…

Computational Engineering, Finance, and Science · Computer Science 2022-12-02 Bozo Vazic , Bilen Emek Abali , Pania Newell

Ultrafast diffraction imaging is a powerful tool to retrieve the geometric structure of gas-phase molecules with combined picometre spatial and attosecond temporal resolution. However, structural retrieval becomes progressively difficult…

Chemical Physics · Physics 2021-10-13 Xinyao Liu , Kasra Amini , Aurelien Sanchez , Blanca Belsa , Tobias Steinle , Jens Biegert

Modelling the impact of a material's mesostructure on device level performance typically requires access to 3D image data containing all the relevant information to define the geometry of the simulation domain. This image data must include…

Computer Vision and Pattern Recognition · Computer Science 2024-08-07 Amir Dahari , Steve Kench , Isaac Squires , Samuel J. Cooper

We investigate the ab-initio homogenization of separable metamaterials with factorized dielectric permittivity profile which can be achieved through suitable grey-scale permittivity design techniques. Separability allows such metamaterials…

Optics · Physics 2016-11-23 Alessandro Ciattoni , Domenico Rago , Carlo Rizza

Electronic materials exhibiting phase transitions between metastable states (e.g., metal-insulator transition materials with abrupt electrical resistivity transformations) are challenging to decode. For these materials, conventional machine…

Materials Science · Physics 2020-11-09 Yiqun Wang , Akshay Iyer , Wei Chen , James M. Rondinelli

Heterogeneous networks provide a universal framework for extracting subsystem-level features of a complex system, which are critical in graph colouring, pattern classification, and motif identification. When abstracting physical systems…

Optics · Physics 2025-07-31 Seungmok Youn , Kunwoo Park , Ikbeom Lee , Gitae Lee , Namkyoo Park , Sunkyu Yu

The design of metamaterials which support unique optical responses is the basis for most thin-film nanophotonics applications. In practice this inverse design problem can be difficult to solve systematically due to the large design…

Computational Physics · Physics 2026-05-25 Andrew Lininger , Michael Hinczewski , Giuseppe Strangi

The ability to generate 3D multiphase microstructures on-demand with targeted attributes can greatly accelerate the design of advanced materials. Here, we present a conditional latent diffusion model (LDM) framework that rapidly synthesizes…

Recently, it has become progressively more evident that classic diagnostic labels are unable to reliably describe the complexity and variability of several clinical phenotypes. This is particularly true for a broad range of neuropsychiatric…

Machine Learning · Computer Science 2024-02-28 Giovanna Maria Dimitri , Simeon Spasov , Andrea Duggento , Luca Passamonti , Pietro Li`o , Nicola Toschi