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Accurate structural analysis is essential to gain physical knowledge and understanding of atomic-scale processes in materials from atomistic simulations. However, traditional analysis methods often reach their limits when applied to…

Quasicrystals are one kind of space-filling structures. The traditional crystalline approximant method utilizes periodic structures to approximate quasicrystals. The errors of this approach come from two parts: the numerical discretization,…

Computational Physics · Physics 2013-10-07 Kai Jiang , Pingwen Zhang

Denoising diffusion probabilistic models (DDPMs) (Ho et al. 2020) have shown impressive results on image and waveform generation in continuous state spaces. Here, we introduce Discrete Denoising Diffusion Probabilistic Models (D3PMs),…

Machine Learning · Computer Science 2023-02-23 Jacob Austin , Daniel D. Johnson , Jonathan Ho , Daniel Tarlow , Rianne van den Berg

Deep learning-based generative models have emerged as powerful tools for modeling complex data distributions and generating high-fidelity samples, offering a transformative approach to efficiently explore the configuration space of…

Materials Science · Physics 2025-11-12 Xiaoshan Luo , Zhenyu Wang , Qingchang Wang , Jian Lv , Lei Wang , Yanchao Wang , Yanming Ma

The inverse design of materials with specific desired properties, such as high-temperature superconductivity, represents a formidable challenge in materials science due to the vastness of chemical and structural space. We present a guided…

Crystal material representation is the foundation of crystal material research. Existing works consider crystal molecules as graph data with different representation methods and leverage the advantages of techniques in graph learning. A…

Materials Science · Physics 2023-12-27 Jiao Huang , Qianli Xing , Jinglong Ji , Bo Yang

Machine learning techniques have successfully been used to extract structural information such as the crystal space group from powder X-ray diffractograms. However, training directly on simulated diffractograms from databases such as the…

Materials Science · Physics 2023-10-12 Henrik Schopmans , Patrick Reiser , Pascal Friederich

We present Diff3F as a simple, robust, and class-agnostic feature descriptor that can be computed for untextured input shapes (meshes or point clouds). Our method distills diffusion features from image foundational models onto input shapes.…

Computer Vision and Pattern Recognition · Computer Science 2024-04-04 Niladri Shekhar Dutt , Sanjeev Muralikrishnan , Niloy J. Mitra

The design of crystal materials plays a critical role in areas such as new energy development, biomedical engineering, and semiconductors. Recent advances in data-driven methods have enabled the generation of diverse crystal structures.…

Artificial Intelligence · Computer Science 2025-12-12 Chao Huang , Jiahui Chen , Chen Chen , Chen Chen , Chunyan Chen , Renjie Su , Shiyu Du

An algorithm for determining crystal structures from diffraction data is described which does not rely on the usual Fourier-space formulations of atomicity. The new algorithm implements atomicity constraints in real-space, as well as…

Condensed Matter · Physics 2007-05-23 Veit Elser

Predicting and characterizing the crystal structure of materials is a key problem in materials research and development. It is typically addressed with highly accurate quantum mechanical computations on a small set of candidate structures,…

Materials Science · Physics 2009-11-10 Stefano Curtarolo , Dane Morgan , Kristin Persson , John Rodgers , Gerbrand Ceder

Presented here is decryst, a software suite for structure determination from powder diffraction, which uses the direct space method, and is able to apply anti-bump constraints automatically and efficiently during the procedure of global…

Materials Science · Physics 2018-07-30 Yu Liu

Efficiently identifying accurate correspondences between point clouds is crucial for both rigid and non-rigid point cloud registration. Existing methods usually rely on geometric or semantic feature embeddings to establish correspondences…

Computer Vision and Pattern Recognition · Computer Science 2026-04-10 Haihua Shi , Qianliang Wu

Diffusion-based generative models have reformed generative AI, and also enabled new capabilities in the science domain, e.g., fast generation of 3D structures of molecules. In such tasks, there is often a symmetry in the system, identifying…

Machine Learning · Computer Science 2026-05-15 Yixian Xu , Yusong Wang , Shengjie Luo , Kaiyuan Gao , Tianyu He , Di He , Chang Liu

The function of biomolecules such as proteins depends on their ability to interconvert between a wide range of structures or "conformations." Researchers have endeavored for decades to develop computational methods to predict the…

Biomolecules · Quantitative Biology 2026-02-05 Daniel D. Richman , Jessica Karaguesian , Carl-Mikael Suomivuori , Ron O. Dror

We propose a mathematical description of crystal structure: underlying translational periodicity together with the distinct atomic positions up to the symmetry operations in the unit cell. It is consistent with the international table of…

Materials Science · Physics 2020-10-12 Mostafa Karami , Nobumichi Tamura , Yong Yang , Xian Chen

Real-world data generation often involves complex inter-dependencies among instances, violating the IID-data hypothesis of standard learning paradigms and posing a challenge for uncovering the geometric structures for learning desired…

Machine Learning · Computer Science 2023-05-30 Qitian Wu , Chenxiao Yang , Wentao Zhao , Yixuan He , David Wipf , Junchi Yan

Segmentation of brain structures from MRI is crucial for evaluating brain morphology, yet existing CNN and transformer-based methods struggle to delineate complex structures accurately. While current diffusion models have shown promise in…

Image and Video Processing · Electrical Eng. & Systems 2025-07-01 Qilong Xing , Zikai Song , Yuteng Ye , Yuke Chen , Youjia Zhang , Na Feng , Junqing Yu , Wei Yang

A simple model of 1D structure based on a Fibonacci sequence with variable atomic spacings is proposed. The model allows for observation of the continuous transition between periodic and non-periodic diffraction patterns. The diffraction…

Condensed Matter · Physics 2007-05-23 Pawel Buczek , Lorenzo Sadun , Janusz Wolny

This paper develops a new continuous approach to a similarity between periodic lattices of ideal crystals. Quantifying a similarity between crystal structures is needed to substantially speed up the Crystal Structure Prediction, because the…

Computational Geometry · Computer Science 2024-09-05 Marco Michele Mosca , Vitaliy Kurlin
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