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Data-driven machine learning methods have the potential to dramatically accelerate the rate of materials design over conventional human-guided approaches. These methods would help identify or, in the case of generative models, even create…

Materials Science · Physics 2022-07-28 Victor Fung , Shuyi Jia , Jiaxin Zhang , Sirui Bi , Junqi Yin , P. Ganesh

Crystal generative models have shown rapid progress for accelerating the discovery of bulk, periodic materials. However, many material systems such as 2D superconductors, thin film semiconductors, and catalytic surfaces are diperiodic,…

Materials Science · Physics 2026-05-12 Rees Chang , Andrew Novick , Ryan P Adams , Elif Ertekin

Machine learning has recently emerged as a powerful tool for generating new molecular and material structures. The success of state-of-the-art models stems from their ability to incorporate physical symmetries, such as translation,…

Machine Learning · Computer Science 2024-05-16 Bingqing Cheng

We investigate the construction of generative models capable of encoding physical constraints that can be hard to express explicitly. For the problem of inverse material design, where one seeks to design a material with a prescribed set of…

Materials Science · Physics 2024-01-17 Khalid El-Awady

The discovery of new materials has been the essential force which brings a discontinuous improvement to industrial products' performance. However, the extra-vast combinatorial design space of material structures exceeds human experts'…

Recent advances in generative modeling, namely Diffusion models, have revolutionized generative modeling, enabling high-quality image generation tailored to user needs. This paper proposes a framework for the generative design of structural…

Inverse design is a common yet challenging engineering problem, particularly for nonlinear functional responses such as mechanical behavior or spectral analysis. Deep generative models are motivated by intractability, non-existence or…

Computational Engineering, Finance, and Science · Computer Science 2025-10-09 Haoxuan Dylan Mu , Mingjian Tang , Wei Gao , Wei "Wayne" Chen

We introduce a new method for inverse design of nanophotonic devices which guarantees that resulting designs satisfy strict length scale constraints - including minimum width and spacing constraints required by commercial semiconductor…

Emerging Technologies · Computer Science 2022-07-26 Martin F. Schubert , Alfred K. C. Cheung , Ian A. D. Williamson , Aleksandra Spyra , David H. Alexander

Singlet fission has emerged as one of the most exciting phenomena known to improve the efficiencies of different types of solar cells and has found uses in diverse optoelectronic applications. The range of available singlet fission…

While traditional trial-and-error methods for designing amorphous alloys are costly and inefficient, machine learning approaches based solely on composition lack critical atomic structural information. Machine learning interatomic…

Materials Science · Physics 2025-08-19 Xuhe Gong , Hengbo Zhao , Xiao Fu , Jingchen Lian , Qifan Yang , Ran Li , Ruijuan Xiao , Tao Zhang , Hong Li

Variable-density cellular structures can overcome connectivity and manufacturability issues of topologically optimized structures, particularly those represented as discrete density maps. However, the optimization of such cellular…

Computational Engineering, Finance, and Science · Computer Science 2022-06-08 Jun Wang , Wei Wayne Chen , Daicong Da , Mark Fuge , Rahul Rai

The ability to control forces between sub-micron-scale building blocks offers considerable potential for designing new materials through self-assembly. A typical paradigm is to first identify a particular (crystal) structure that has some…

Soft Condensed Matter · Physics 2024-04-24 Mengjie Zu , Carl Goodrich

Finding new superconductors with a high critical temperature ($T_c$) has been a challenging task due to computational and experimental costs. We present a diffusion model inspired by the computer vision community to generate new…

Superconductivity · Physics 2023-07-28 Daniel Wines , Tian Xie , Kamal Choudhary

We developed an inverse design framework enabling automated generation of stable multi-component crystal structures by optimizing the formation energies in the latent space based on reversible crystal graphs with continuous representation.…

Materials Science · Physics 2021-04-21 Teng Long , Yixuan Zhang , Nuno M. Fortunato , Chen Shen , Mian Dai , Hongbin Zhang

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

We study an inverse design problem for the linear multiple fragmentation equation arising in particle dynamics. Our objective is to reconstruct an unknown initial size distribution that evolves, under a prescribed fragmentation law, into a…

Optimization and Control · Mathematics 2026-02-20 Arijit Das

Complex nanophotonic structures hold the potential to deliver exquisitely tailored optical responses for a range of applications. Metal-insulator-metal (MIM) metasurfaces arranged in supercells, for instance, can be tailored by geometry and…

Diffusion-based deep generative models have emerged as powerful tools for inverse materials design. Yet, many existing approaches overlook essential chemical constraints such as oxidation state balance, which can lead to chemically invalid…

Materials Science · Physics 2025-07-29 Mouyang Cheng , Weiliang Luo , Hao Tang , Bowen Yu , Yongqiang Cheng , Weiwei Xie , Ju Li , Heather J. Kulik , Mingda Li

Generative models have gained popularity for their potential applications in imaging science, such as image reconstruction, posterior sampling and data sharing. Flow-based generative models are particularly attractive due to their ability…

Machine Learning · Computer Science 2023-12-14 Varun A. Kelkar , Rucha Deshpande , Arindam Banerjee , Mark A. Anastasio

One of the greatest challenges facing our society is the discovery of new innovative crystal materials with specific properties. Recently, the problem of generating crystal materials has received increasing attention, however, it remains…

Materials Science · Physics 2023-06-08 Astrid Klipfel , Yaël Frégier , Adlane Sayede , Zied Bouraoui