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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

We introduce CrystalFormer, a transformer-based autoregressive model specifically designed for space group-controlled generation of crystalline materials. By explicitly incorporating space group symmetry, CrystalFormer greatly reduces the…

Materials Science · Physics 2025-09-29 Zhendong Cao , Xiaoshan Luo , Jian Lv , Lei Wang

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

Generative models trained on internet-scale data are capable of generating novel and realistic texts, images, and videos. A natural next question is whether these models can advance science, for example by generating novel stable materials.…

Machine Learning · Computer Science 2024-06-05 Sherry Yang , KwangHwan Cho , Amil Merchant , Pieter Abbeel , Dale Schuurmans , Igor Mordatch , Ekin Dogus Cubuk

Generative models for crystalline materials often rely on equivariant graph neural networks, which capture geometric structure well but are costly to train and slow to sample. We present Crystalite, a lightweight diffusion Transformer for…

Machine Learning · Computer Science 2026-04-03 Tin Hadži Veljković , Joshua Rosenthal , Ivor Lončarić , Jan-Willem van de Meent

Crystalline materials are a fundamental component in next-generation technologies, yet modeling their distribution presents unique computational challenges. Of the plausible arrangements of atoms in a periodic lattice only a vanishingly…

Machine Learning · Computer Science 2024-06-10 Benjamin Kurt Miller , Ricky T. Q. Chen , Anuroop Sriram , Brandon M Wood

Recent advances in deep learning have enabled the generation of realistic data by training generative models on large datasets of text, images, and audio. While these models have demonstrated exceptional performance in generating novel and…

Materials Science · Physics 2024-06-17 Izumi Takahara , Kiyou Shibata , Teruyasu Mizoguchi

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…

Generative models show great promise for the inverse design of molecules and inorganic crystals, but remain largely ineffective within more complex structures such as amorphous materials. Here, we present a diffusion model that reliably…

Disordered Systems and Neural Networks · Physics 2026-01-21 Kai Yang , Daniel Schwalbe-Koda

The design of functional materials with desired properties is essential in driving technological advances in areas like energy storage, catalysis, and carbon capture. Generative models provide a new paradigm for materials design by directly…

Discovering crystal structures with specific chemical properties has become an increasingly important focus in material science. However, current models are limited in their ability to generate new crystal lattices, as they only consider…

Materials Science · Physics 2024-01-12 Astrid Klipfel , Yaël Fregier , Adlane Sayede , Zied Bouraoui

Efficiently generating energetically stable crystal structures has long been a challenge in material design, primarily due to the immense arrangement of atoms in a crystal lattice. To facilitate the discovery of stable material, we present…

Artificial Intelligence · Computer Science 2025-09-30 Zhelin Li , Rami Mrad , Runxian Jiao , Guan Huang , Jun Shan , Shibing Chu , Yuanping Chen

Crystalline materials often exhibit a high level of symmetry. However, most generative models do not account for symmetry, but rather model each atom without any constraints on its position or element. We propose a generative model, Wyckoff…

We introduce the Latent Fourier Transform (LatentFT), a framework that provides novel frequency-domain controls for generative music models. LatentFT combines a diffusion autoencoder with a latent-space Fourier transform to separate musical…

Sound · Computer Science 2026-04-21 Mason Wang , Cheng-Zhi Anna Huang

We present a novel generative modeling framework,Wavelet-Fourier-Diffusion, which adapts the diffusion paradigm to hybrid frequency representations in order to synthesize high-quality, high-fidelity images with improved spatial…

Computer Vision and Pattern Recognition · Computer Science 2025-04-08 Andrew Kiruluta , Andreas Lemos

We present Materium: an autoregressive transformer for generating crystal structures that converts 3D material representations into token sequences. These sequences include elements with oxidation states, fractional coordinates and lattice…

Machine Learning · Computer Science 2025-12-09 Niklas Dobberstein , Jan Hamaekers

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

Generative modeling of crystalline materials using diffusion models presents a series of challenges: the data distribution is characterized by inherent symmetries and involves multiple modalities, with some defined on specific manifolds.…

Crystal structures are characterized by atomic bases within a primitive unit cell that repeats along a regular lattice throughout 3D space. The periodic and infinite nature of crystals poses unique challenges for geometric graph…

Machine Learning · Computer Science 2024-03-19 Keqiang Yan , Cong Fu , Xiaofeng Qian , Xiaoning Qian , Shuiwang Ji

Crystal symmetry plays a fundamental role in determining its physical, chemical, and electronic properties such as electrical and thermal conductivity, optical and polarization behavior, and mechanical strength. Almost all known crystalline…

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