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Unconditional crystal structure generation with diffusion models faces challenges in identifying symmetric crystals as the unit cell size increases. We present the Crystal Host-Guided Generation (CHGGen) framework to address this challenge…

Materials Science · Physics 2025-09-09 Peichen Zhong , Xinzhe Dai , Bowen Deng , Gerbrand Ceder , Kristin A. Persson

Equivariant diffusion models have emerged as the prevailing approach for generating novel crystal materials due to their ability to leverage the physical symmetries of periodic material structures. However, current models do not effectively…

Machine Learning · Computer Science 2025-03-04 Kishalay Das , Subhojyoti Khastagir , Pawan Goyal , Seung-Cheol Lee , Satadeep Bhattacharjee , Niloy Ganguly

Mechanical metamaterials enable precise control over structural properties, but their design method remains challenging due to their complex structure. Although additive manufacturing has expanded geometric freedom, navigating this vast and…

Soft Condensed Matter · Physics 2025-09-18 Kijung Kim , Seungwook Hong , Wonjun Jung , Wooseok Kim , Namjung Kim , Howon Lee

Generative models hold great promise for accelerating material discovery but are often limited by their inflexible single-stage generative process in designing valid and diverse materials. To address this, we propose a two-stage generative…

Machine Learning · Computer Science 2026-03-05 Cong Liu , Chengyue Gong , Zhenyu Liu , Jiale Zhao , Yuxuan Zhang

Despite recent advances, goal-directed generation of structured discrete data remains challenging. For problems such as program synthesis (generating source code) and materials design (generating molecules), finding examples which satisfy…

Machine Learning · Computer Science 2020-10-26 Amina Mollaysa , Brooks Paige , Alexandros Kalousis

Discovering new solid-state materials requires rapidly exploring the vast space of crystal structures and locating stable regions. Generating stable materials with desired properties and compositions is extremely difficult as we search for…

Machine Learning · Computer Science 2024-11-08 Tri Minh Nguyen , Sherif Abdulkader Tawfik , Truyen Tran , Sunil Gupta , Santu Rana , Svetha Venkatesh

Generative systems have a significant potential to synthesize innovative design alternatives. Still, most of the common systems that have been adopted in design require the designer to explicitly define the specifications of the procedures…

Machine Learning · Computer Science 2019-04-03 Ardavan Bidgoli , Pedro Veloso

Generative artificial intelligence offers a new paradigm to design matter in high-dimensional spaces. However, its underlying mechanisms remain difficult to interpret and limit adoption in computational mechanics. This gap is striking…

Computational Engineering, Finance, and Science · Computer Science 2026-05-13 Vahidullah Tac , Ellen Kuhl

The recent surge in interest in city layout generation underscores its significance in urban planning and smart city development. The task involves procedurally or automatically generating spatial arrangements for urban elements such as…

Computer Vision and Pattern Recognition · Computer Science 2025-04-14 Jie Deng , Wenhao Chai , Jianshu Guo , Qixuan Huang , Junsheng Huang , Wenhao Hu , Shengyu Hao , Jenq-Neng Hwang , Gaoang Wang

Generative models in molecular design tend to be richly parameterized, data-hungry neural models, as they must create complex structured objects as outputs. Estimating such models from data may be challenging due to the lack of sufficient…

Machine Learning · Computer Science 2021-08-17 Kevin Yang , Wengong Jin , Kyle Swanson , Regina Barzilay , Tommi Jaakkola

A unified diffusion framework for multi-modal generation and understanding has the transformative potential to achieve seamless and controllable image diffusion and other cross-modal tasks. In this paper, we introduce MMGen, a unified…

Computer Vision and Pattern Recognition · Computer Science 2025-03-27 Jiepeng Wang , Zhaoqing Wang , Hao Pan , Yuan Liu , Dongdong Yu , Changhu Wang , Wenping Wang

The rational design of molecules with desired properties is a long-standing challenge in chemistry. Generative neural networks have emerged as a powerful approach to sample novel molecules from a learned distribution. Here, we propose a…

Harnessing the recent advance in data science and materials science, it is feasible today to build predictive models for materials properties. In this study, we employ the data of high-throughput quantum mechanics calculations based on…

Materials Science · Physics 2023-02-22 Yingzong Liang , Mingwei Chen , Yanan Wang , Huaxian Jia , Tenglong Lu , Fankai Xie , Sheng Meng , Miao Liu

Drawing inspiration from the achievements of natural language processing, we adopt self-supervised learning and utilize an equivariant graph neural network to develop a unified platform designed for training generative models capable of…

Materials Science · Physics 2024-08-21 Fangze Liu , Zhantao Chen , Tianyi Liu , Ruyi Song , Yu Lin , Joshua J. Turner , Chunjing Jia

Deep generative models such as diffusion and flow matching are powerful machine learning tools capable of learning and sampling from high-dimensional distributions. They are particularly useful when the training data appears to be…

High Energy Physics - Phenomenology · Physics 2026-04-30 Zachary Bogorad , Ibrahim Elsharkawy , Yonatan Kahn , Andrew J. Larkoski , Noam Levi

Amorphous multi-element materials offer unprecedented tunability in composition and properties, yet their rational design remains challenging due to the lack of predictive structure-property relationships and the vast configurational space.…

This article considers the generative modeling of the (mixed) states of quantum systems, and an approach based on denoising diffusion model is proposed. The key contribution is an algorithmic innovation that respects the physical nature of…

Quantum Physics · Physics 2024-05-28 Yuchen Zhu , Tianrong Chen , Evangelos A. Theodorou , Xie Chen , Molei Tao

Inverse design of inorganic crystals, in which structures are generated to satisfy a target property while preserving diversity and physical plausibility, remains more demanding than ab initio generation, as property conditioning can…

Materials Science · Physics 2026-05-05 Ibuki Okuda , Izumi Takahara , Teruyasu Mizoguchi

The reconstruction of 3D microstructures from 2D slices is considered to hold significant value in predicting the spatial structure and physical properties of materials.The dimensional extension from 2D to 3D is viewed as a highly…

Machine Learning · Computer Science 2024-02-27 Yilin Zheng , Zhigong Song

Composite materials with 3D architectures are desirable in a variety of applications for the capability of tailoring their properties to meet multiple functional requirements. By the arrangement of materials' internal components, structure…

Materials Science · Physics 2023-02-28 Zhengyang Zhang , Han Fang , Zhao Xu , Jiajie Lv , Yao Shen , Yanming Wang