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Physics-constrained data-driven computing is an emerging computational paradigm that allows simulation of complex materials directly based on material database and bypass the classical constitutive model construction. However, it remains…

Numerical Analysis · Mathematics 2022-09-12 Xiaolong He , Qizhi He , Jiun-Shyan Chen

Powder X-ray diffraction (PXRD) is a prevalent technique in materials characterization. While the analysis of PXRD often requires extensive human manual intervention, and most automated method only achieved at coarse-grained level. The more…

Chemical Physics · Physics 2025-02-11 Qingsi Lai , Fanjie Xu , Lin Yao , Zhifeng Gao , Siyuan Liu , Hongshuai Wang , Shuqi Lu , Di He , Liwei Wang , Cheng Wang , Guolin Ke

Discrete latent bottlenecks in variational autoencoders (VAEs) offer high bit efficiency and can be modeled with autoregressive discrete distributions, enabling parameter-efficient multimodal search with transformers. However, discrete…

Machine Learning · Computer Science 2026-02-12 Michael Drolet , Firas Al-Hafez , Aditya Bhatt , Jan Peters , Oleg Arenz

Recent advances in generative AI offer promising solutions for synthetic data generation but often rely on large datasets for effective training. To address this limitation, we propose a novel generative model that learns from limited data…

Machine Learning · Statistics 2025-05-27 Michail Spitieris , Massimiliano Ruocco , Abdulmajid Murad , Alessandro Nocente

Tight-binding models can accurately replicate the band structure and topology of crystalline systems. They have been widely used in solid-state physics due to their versatility and low computational cost. It is straightforward to build an…

Although Bayesian Optimization (BO) has been employed for accelerating materials design in computational materials engineering, existing works are restricted to problems with quantitative variables. However, real designs of materials…

Machine Learning · Statistics 2019-10-07 Yichi Zhang , Daniel Apley , Wei Chen

Extracting compact, physically interpretable representations from high-dimensional scientific data is a persistent challenge due to the complex, nonlinear structures inherent in physical systems. We propose a Gaussian Mixture Variational…

Machine Learning · Computer Science 2025-12-01 Tiffany Fan , Murray Cutforth , Marta D'Elia , Alexandre Cortiella , Alireza Doostan , Eric Darve

Adjustable hyperparameters of machine learning models typically impact various key trade-offs such as accuracy, fairness, robustness, or inference cost. Our goal in this paper is to find a configuration that adheres to user-specified limits…

Machine Learning · Computer Science 2023-12-05 Bracha Laufer-Goldshtein , Adam Fisch , Regina Barzilay , Tommi Jaakkola

In this work we aim to develop a unified mathematical framework and a reliable computational approach to model the brittle fracture in heterogeneous materials with variability in material microstructures, and to provide statistic metrics…

Materials Science · Physics 2022-08-10 Yiming Fan , Huaiqian You , Xiaochuan Tian , Xiu Yang , Xingjie Li , Naveen Prakash , Yue Yu

Properties of crystalline materials are closely linked to microstructure arising from the spatial arrangement, orientation, and phase of nanocrystals. Rapid characterization of crystalline microstructure can accelerate the identification of…

Materials Science · Physics 2026-02-16 Kwanghwi Je , Ellis R. Kennedy , Sungin Kim , Yao Yang , Erik H. Thiede

Designing topological materials with specific topological indices is a complex inverse problem, traditionally tackled through manual, intuition-driven methods that are neither scalable nor efficient for exploring the vast space of possible…

Mesoscale and Nanoscale Physics · Physics 2025-10-28 Samuel Bird , Chiara Devescovi , Pascal Engeler , Agnes Valenti , Doruk Efe Gökmen , Robin Worreby , Valerio Peri , Sebastian D. Huber

Artificial intelligence (AI) is transforming materials science, enabling both theoretical advancements and accelerated materials discovery. Recent progress in crystal generation models, which design crystal structures for targeted…

Materials Science · Physics 2025-02-25 Zhuoyuan Li , Siyu Liu , Beilin Ye , David J. Srolovitz , Tongqi Wen

Often the analysis of time-dependent chemical and biophysical systems produces high-dimensional time-series data for which it can be difficult to interpret which individual features are most salient. While recent work from our group and…

The unsupervised visual inspection of defects in industrial products poses a significant challenge due to substantial variations in product surfaces. Current unsupervised models struggle to strike a balance between detecting texture and…

Computer Vision and Pattern Recognition · Computer Science 2023-11-22 Peng Wang , Haiming Yao , Wenyong Yu

We present a three-dimensional foundation model for polycrystalline materials based on a masked autoencoder trained via large-scale self-supervised learning. The model is pretrained on $100{,}000$ voxelized synthetic face-centered cubic…

Computational Engineering, Finance, and Science · Computer Science 2025-12-24 Ting-Ju Wei , Chuin-Shan Chen

The physical and chemical characteristics of cathodes used in batteries are derived from the lithium-ion phosphate cathodes crystalline arrangement, which is pivotal to the overall battery performance. Therefore, the correct prediction of…

Materials Science · Physics 2025-09-16 Yogesh Yadav , Sandeep K Yadav , Vivek Vijay , Ambesh Dixit

Topological photonic crystals (PCs) can support robust edge modes to transport electromagnetic energy in an efficient manner. Such edge modes are the eigenmodes of the PDE operator for a joint optical structure formed by connecting together…

Optimization and Control · Mathematics 2024-07-30 Chiu-Yen Kao , Junshan Lin , Braxton Osting

High-fidelity simulations are essential for predicting material behavior under high-velocity impact (HVI), but their accuracy depends on material models and parameters that are often calibrated by manual fitting to multiple costly…

Materials Science · Physics 2026-04-01 Rong Jin , Guangyao Wang , Xingsheng Sun

This work presents a data-driven framework for fast forward and inverse analysis in topology optimization (TO) by combining Rank Reduction Autoencoders (RRAEs) with neural latent-space mappings. The methodology targets the efficient…

Bayesian Optimization (BO) machine learning method is increasingly used to guide experimental optimization tasks in materials science. To emulate the large number of input variables and noise-containing results in experimental materials…