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We are interested in learning generative models for complex geometries described via manifolds, such as spheres, tori, and other implicit surfaces. Current extensions of existing (Euclidean) generative models are restricted to specific…

Machine Learning · Statistics 2021-11-04 Noam Rozen , Aditya Grover , Maximilian Nickel , Yaron Lipman

Diffusion probabilistic models have quickly become a major approach for generative modeling of images, 3D geometry, video and other domains. However, to adapt diffusion generative modeling to these domains the denoising network needs to be…

Computer Vision and Pattern Recognition · Computer Science 2023-03-02 Peiye Zhuang , Samira Abnar , Jiatao Gu , Alex Schwing , Joshua M. Susskind , Miguel Ángel Bautista

Diffusion generative models have emerged as a powerful framework for addressing problems in structural biology and structure-based drug design. These models operate directly on 3D molecular structures. Due to the unfavorable scaling of…

Biomolecules · Quantitative Biology 2024-05-10 Ian Dunn , David Ryan Koes

Designing metal-organic frameworks (MOFs) with novel chemistries is a longstanding challenge due to their large combinatorial space and complex 3D arrangements of the building blocks. While recent deep generative models have enabled…

Biomolecules · Quantitative Biology 2026-02-05 Nayoung Kim , Seongsu Kim , Sungsoo Ahn

Molecular structure elucidation is a fundamental step in understanding chemical phenomena, with applications in identifying molecules in natural products, lab syntheses, forensic samples, and the interstellar medium. We consider the task of…

Machine Learning · Computer Science 2025-03-04 Austin Cheng , Alston Lo , Kin Long Kelvin Lee , Santiago Miret , Alán Aspuru-Guzik

Polymer conformation generation is a critical task that enables atomic-level studies of diverse polymer materials. While significant advances have been made in designing conformation generation methods for small molecules and proteins,…

Soft Condensed Matter · Physics 2025-05-23 Fanmeng Wang , Wentao Guo , Qi Ou , Hongshuai Wang , Haitao Lin , Hongteng Xu , Zhifeng Gao

3D Morphable Models (3DMMs) are generative models for face shape and appearance. However, the shape parameters of traditional 3DMMs satisfy the multivariate Gaussian distribution while the identity embeddings satisfy the hypersphere…

Computer Vision and Pattern Recognition · Computer Science 2021-12-07 Diqiong Jiang , Yiwei Jin , Fanglue Zhang , Zhe Zhu , Yun Zhang , Ruofeng Tong , Min Tang

Diffusion models are a special type of generative model, capable of synthesising new data from a learnt distribution. We introduce DISPR, a diffusion-based model for solving the inverse problem of three-dimensional (3D) cell shape…

Computer Vision and Pattern Recognition · Computer Science 2023-03-15 Dominik J. E. Waibel , Ernst Röell , Bastian Rieck , Raja Giryes , Carsten Marr

Deep generative models have shown promise for modeling metal-organic frameworks (MOFs), but existing approaches (1) rely on coarse-grained representations that assume fixed bond lengths and angles, and (2) neglect the MOF-adsorbate…

Materials Science · Physics 2026-02-10 Nayoung Kim , Honghui Kim , Sihyun Yu , Minkyu Kim , Seongsu Kim , Sungsoo Ahn

Improving the detailed understanding of the underlying properties and functions of biomolecules has recently attracted growing interest, enabled by the possibility of real-space imaging of single, intact macromolecules using Scanning…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 Tim J. Seifert , Dhaneesh Kumar , Markus Etzkorn , Stephan Rauschenbach , Klaus Kern , Kelvin Anggara , Uta Schlickum

AlphaFold 3 represents a transformative advancement in computational biology, enhancing protein structure prediction through novel multi-scale transformer architectures, biologically informed cross-attention mechanisms, and geometry-aware…

Biomolecules · Quantitative Biology 2025-08-27 Alireza Abbaszadeh , Armita Shahlaee

Machine learning has the potential to automate molecular design and drastically accelerate the discovery of new functional compounds. Towards this goal, generative models and reinforcement learning (RL) using string and graph…

Machine Learning · Computer Science 2022-02-02 Daniel Flam-Shepherd , Alexander Zhigalin , Alán Aspuru-Guzik

Advances in deep learning have greatly improved structure prediction of molecules. However, many macroscopic observations that are important for real-world applications are not functions of a single molecular structure, but rather…

Learning powerful feature representations with CNNs is hard when training data are limited. Pre-training is one way to overcome this, but it requires large datasets sufficiently similar to the target domain. Another option is to design…

Computer Vision and Pattern Recognition · Computer Science 2016-05-16 Jörn-Henrik Jacobsen , Jan van Gemert , Zhongyu Lou , Arnold W. M. Smeulders

Multiscale spatial structure complicates temporal prediction because small-scale spatial fluctuations influence large-scale evolution, yet resolving all scales is often intractable. Standard diffusion models do not address this problem…

Fluid Dynamics · Physics 2026-04-02 Yuki Yasuda , Tobias Bischoff

Effective generation of molecular structures, or new chemical entities, that bind to target proteins is crucial for lead identification and optimization in drug discovery. Despite advancements in atom- and motif-wise deep learning models…

Machine Learning · Computer Science 2025-03-04 Guanlue Li , Chenran Jiang , Ziqi Gao , Yu Liu , Chenyang Liu , Jiean Chen , Yong Huang , Jia Li

Metal-organic frameworks (MOFs) are a class of crystalline materials with promising applications in many areas such as carbon capture and drug delivery. In this work, we introduce MOFFlow, the first deep generative model tailored for MOF…

Biomolecules · Quantitative Biology 2025-03-20 Nayoung Kim , Seongsu Kim , Minsu Kim , Jinkyoo Park , Sungsoo Ahn

Long-term time-series forecasting (LTTF) has become a pressing demand in many applications, such as wind power supply planning. Transformer models have been adopted to deliver high prediction capacity because of the high computational…

Machine Learning · Computer Science 2023-01-06 Yan Li , Xinjiang Lu , Haoyi Xiong , Jian Tang , Jiantao Su , Bo Jin , Dejing Dou

Metal-organic frameworks (MOFs) are of immense interest in applications such as gas storage and carbon capture due to their exceptional porosity and tunable chemistry. Their modular nature has enabled the use of template-based methods to…

Chemical Physics · Physics 2023-10-19 Xiang Fu , Tian Xie , Andrew S. Rosen , Tommi Jaakkola , Jake Smith

Despite recent advancement in 3D molecule conformation generation driven by diffusion models, its high computational cost in iterative diffusion/denoising process limits its application. In this paper, an equivariant consistency model…

Biomolecules · Quantitative Biology 2023-11-27 Zhiguang Fan , Yuedong Yang , Mingyuan Xu , Hongming Chen