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Fractons are particles that cannot move in one or more directions without paying energy proportional to their displacement. Here, we introduce the concept of symmetry enforced fractonicity, in which particles are fractons in the presence of…

Strongly Correlated Electrons · Physics 2019-07-18 Ajesh Kumar , Andrew C. Potter

The prediction of material structure from chemical composition has been a long-standing challenge in natural science. Although there have been various methodological developments and successes with computer simulations, the prediction of…

Materials Science · Physics 2018-05-23 Naoto Tsujimoto , Daiki Adachi , Ryosuke Akashi , Synge Todo , Shinji Tsuneyuki

Generative AI models, such as score-based diffusion models, have recently advanced the field of computational materials science by enabling the generation of new materials with desired properties. In addition, these models could also be…

Materials Science · Physics 2026-01-06 Timo Reents , Arianna Cantarella , Marnik Bercx , Pietro Bonfà , Giovanni Pizzi

We introduce a new diffusion-based approach for shape completion on 3D range scans. Compared with prior deterministic and probabilistic methods, we strike a balance between realism, multi-modality, and high fidelity. We propose DiffComplete…

Computer Vision and Pattern Recognition · Computer Science 2023-06-29 Ruihang Chu , Enze Xie , Shentong Mo , Zhenguo Li , Matthias Nießner , Chi-Wing Fu , Jiaya Jia

Determining crystal structures from X-ray diffraction data is fundamental across diverse scientific fields, yet remains a significant challenge when data is limited to low resolution. While recent deep learning models have made…

Materials Science · Physics 2025-10-22 Jiale Zhao , Cong Liu , Yuxuan Zhang , Chengyue Gong , Zhenyi Zhang , Shifeng Jin , Zhenyu Liu

Generative models hold the promise of significantly expediting the materials design process when compared to traditional human-guided or rule-based methodologies. However, effectively generating high-quality periodic structures of materials…

Materials Science · Physics 2024-08-15 Anshuman Sinha , Shuyi Jia , Victor Fung

The recently developed information-theoretic approach to crystallographic symmetry classifications and quantifications in two dimensions (2D) from digital transmission electron and scanning probe microscope images is adapted for the…

Materials Science · Physics 2022-08-10 Peter Moeck , Lukas von Koch

A widely spread method of crystal preparation is to precipitate it from a supersaturated solution. In such a process, control of solution concentration is of paramount importance. Nucleation process, polymorph selection, and crystal habits…

Soft Condensed Matter · Physics 2019-07-10 Tarak Karmakar , Pablo M. Piaggi , Michele Parrinello

Synthesizing realistic microstructure images conditioned on processing parameters is crucial for understanding process-structure relationships in materials design. However, this task remains challenging due to limited training micrographs…

Materials Science · Physics 2025-11-21 Hoang Cuong Phan , Minh Tien Tran , Chihun Lee , Hoheok Kim , Sehyeok Oh , Dong-Kyu Kim , Ho Won Lee

In this paper, we present a novel shape reconstruction method leveraging diffusion model to generate 3D sparse point cloud for the object captured in a single RGB image. Recent methods typically leverage global embedding or local…

Computer Vision and Pattern Recognition · Computer Science 2023-08-16 Yan Di , Chenyangguang Zhang , Pengyuan Wang , Guangyao Zhai , Ruida Zhang , Fabian Manhardt , Benjamin Busam , Xiangyang Ji , Federico Tombari

The diffusion model has emerged as a powerful tool for generating atomic structures for materials science. This work calls attention to the deficiency of current particle-based diffusion models, which represent atoms as a point cloud, in…

Materials Science · Physics 2024-08-29 Bo Lei , Enze Chen , Hyuna Kwon , Tim Hsu , Babak Sadigh , Vincenzo Lordi , Timofey Frolov , Fei Zhou

This paper was motivated by the articles "Same or different - that is the question" in CrystEngComm (July 2020) and "Change to the definition of a crystal" in the IUCr newsletter (June 2021). Experimental approaches to crystal comparisons…

Materials Science · Physics 2024-06-21 Olga Anosova , Vitaliy Kurlin , Marjorie Senechal

We propose efficient algorithms based on a band-limited version of 2D synchrosqueezed transforms to extract mesoscopic and microscopic information from atomic crystal images. The methods analyze atomic crystal images as an assemblage of…

Numerical Analysis · Mathematics 2015-09-22 Haizhao Yang , Jianfeng Lu , Lexing Ying

The controllable generation of diffusion models aims to steer the model to generate samples that optimize some given objective functions. It is desirable for a variety of applications including image generation, molecule generation, and…

Machine Learning · Computer Science 2025-05-29 Owen Oertell , Shikun Sun , Yiding Chen , Jin Peng Zhou , Zhiyong Wang , Wen Sun

We investigate the possibility to control the symmetry of ordered states in phase-field crystal models by tuning nonlinear resonances. In two dimensions, we find that a state of square symmetry as well as coexistence between squares and…

Materials Science · Physics 2015-05-19 Kuo-An Wu , Mathis Plapp , Peter W Voorhees

Modeling symmetry breaking is essential for understanding the fundamental changes in the behaviors and properties of physical systems, from microscopic particle interactions to macroscopic phenomena like fluid dynamics and cosmic…

Machine Learning · Computer Science 2025-07-11 Rui Wang , Elyssa Hofgard , Han Gao , Robin Walters , Tess E. Smidt

We develop a diffusion-based approach for various document layout sequence generation. Layout sequences specify the contents of a document design in an explicit format. Our novel diffusion-based approach works in the sequence domain rather…

Computer Vision and Pattern Recognition · Computer Science 2023-09-19 Liu He , Yijuan Lu , John Corring , Dinei Florencio , Cha Zhang

We show, in this report, how a population balance model differential equation describing batch crystal growth from solution can be solved in closed form for the case of diffusion limited growth with and without modeling the effects of…

Materials Science · Physics 2024-11-11 Douglas A. Barlow , Kylene Monaghan

Popularized by their strong image generation performance, diffusion and related methods for generative modeling have found widespread success in visual media applications. In particular, diffusion methods have enabled new approaches to data…

Image and Video Processing · Electrical Eng. & Systems 2026-01-28 Yibo Yang , Stephan Mandt

Crystallization is a fundamental process in materials science, providing the primary route for the realization of a wide range of new materials. Crystallization rates are also considered to be useful probes of glass-forming ability. At the…