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Graph diffusion models have emerged as state-of-the-art techniques in graph generation; yet, integrating domain knowledge into these models remains challenging. Domain knowledge is particularly important in real-world scenarios, where…

Machine Learning · Computer Science 2024-12-09 Manuel Madeira , Clement Vignac , Dorina Thanou , Pascal Frossard

We present diffusion-convolutional neural networks (DCNNs), a new model for graph-structured data. Through the introduction of a diffusion-convolution operation, we show how diffusion-based representations can be learned from…

Machine Learning · Computer Science 2016-07-11 James Atwood , Don Towsley

Crystal structure modeling with graph neural networks is essential for various applications in materials informatics, and capturing SE(3)-invariant geometric features is a fundamental requirement for these networks. A straightforward…

Machine Learning · Computer Science 2025-03-05 Yusei Ito , Tatsunori Taniai , Ryo Igarashi , Yoshitaka Ushiku , Kanta Ono

Graph diffusion models, dominant in graph generative modeling, remain underexplored for graph-to-graph translation tasks like chemical reaction prediction. We demonstrate that standard permutation equivariant denoisers face fundamental…

Machine Learning · Computer Science 2025-06-10 Najwa Laabid , Severi Rissanen , Markus Heinonen , Arno Solin , Vikas Garg

The design of novel materials hinges on the understanding of structure-property relationships. However, in recent times, our capability to synthesize a large number of materials has outpaced our speed at characterizing them. While the…

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

Graph Neural Networks have rapidly advanced in materials science and chemistry,with their performance critically dependent on comprehensive representations of crystal or molecular structures across five dimensions: elemental information,…

Materials Science · Physics 2025-09-09 Hongwei Du , Hong Wang

Many generative tasks in chemistry and science involve distributions invariant to group symmetries (e.g., permutation and rotation). A common strategy enforces invariance and equivariance through architectural constraints such as…

Machine Learning · Computer Science 2026-02-17 Cai Zhou , Zijie Chen , Zian Li , Jike Wang , Kaiyi Jiang , Pan Li , Rose Yu , Muhan Zhang , Stephen Bates , Tommi Jaakkola

Crystal structure design is important for the discovery of new highly functional materials because crystal structure strongly influences material properties. Crystal structures are composed of space-filling polyhedra, which affect material…

Materials Science · Physics 2024-02-06 Tomoyasu Yokoyama , Kazuhide Ichikawa , Hisashi Naito

Crystal structure prediction is a long-standing challenge in materials science, with most data-driven methods developed for inorganic systems. This leaves an important gap for organic crystals, which are central to pharmaceuticals,…

Materials Science · Physics 2026-02-25 Mohammadmahdi Vahediahmar , Matthew A. McDonald , Feng Liu

Generating images from graph-structured inputs, such as scene graphs, is uniquely challenging due to the difficulty of aligning nodes and connections in graphs with objects and their relations in images. Most existing methods address this…

Computer Vision and Pattern Recognition · Computer Science 2022-11-22 Ling Yang , Zhilin Huang , Yang Song , Shenda Hong , Guohao Li , Wentao Zhang , Bin Cui , Bernard Ghanem , Ming-Hsuan Yang

Diffusion generative models (DMs) have achieved promising results in image and graph generation. However, real-world graphs, such as social networks, molecular graphs, and traffic graphs, generally share non-Euclidean topologies and hidden…

Machine Learning · Computer Science 2024-01-04 Lingfeng Wen , Xuan Tang , Mingjie Ouyang , Xiangxiang Shen , Jian Yang , Daxin Zhu , Mingsong Chen , Xian Wei

High-entropy alloys (HEAs) have attracted growing attention for their exceptional mechanical and thermal properties arising from complex atomic configurations. In this paper, we propose crystal fractional graph neural network for predicting…

Computational Physics · Physics 2026-05-12 Takanori Kotama , Yang Huang

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

Hypergraphs provide a superior modeling framework for representing complex multidimensional relationships in the context of real-world interactions that often occur in groups, overcoming the limitations of traditional homogeneous graphs.…

Machine Learning · Computer Science 2025-02-13 Daeyoung Roh , Donghee Han , Daehee Kim , Keejun Han , Mun Yi

The combination of deep learning algorithm and materials science has made significant progress in predicting novel materials and understanding various behaviours of materials. Here, we introduced a new model called as the Crystal…

Materials Science · Physics 2024-05-21 Zijian Du , Luozhijie Jin , Le Shu , Yan Cen , Yuanfeng Xu , Yongfeng Mei , Hao Zhang

Exploring the vast composition space of multi-component alloys presents a challenging task for both \textit{ab initio} (first principles) and experimental methods due to the time-consuming procedures involved. This ultimately impedes the…

Diffusion models have made significant contributions to computer vision, sparking a growing interest in the community recently regarding the application of them to graph generation. Existing discrete graph diffusion models exhibit…

Machine Learning · Computer Science 2024-05-07 Xingcheng Fu , Yisen Gao , Yuecen Wei , Qingyun Sun , Hao Peng , Jianxin Li , Xianxian Li

The discovery of inorganic crystal structures with targeted properties is a significant challenge in materials science. Generative models, especially state-of-the-art diffusion models, offer the promise of modeling complex data…

Diffusion models have established themselves as state-of-the-art generative models across various data modalities, including images and videos, due to their ability to accurately approximate complex data distributions. Unlike traditional…

Machine Learning · Computer Science 2025-10-23 Daniel Wesego