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Diffusion models, as a class of deep generative models, have recently emerged as powerful tools for robot skills by enabling stable training with reliable convergence. In this paper, we present an end-to-end framework for generating long,…

This work develops a nonlinear multigrid method for diffusion problems discretized by cell-centered finite volume methods on general unstructured grids. The multigrid hierarchy is constructed algebraically using aggregation of degrees of…

Numerical Analysis · Mathematics 2020-10-29 Chak Shing Lee , François Hamon , Nicola Castelletto , Panayot S. Vassilevski , Joshua White

Molecular dynamics (MD) has long been the de facto choice for simulating complex atomistic systems from first principles. Recently deep learning models become a popular way to accelerate MD. Notwithstanding, existing models depend on…

Computational Engineering, Finance, and Science · Computer Science 2023-01-10 Fang Wu , Stan Z. Li

Most earlier 3D structure-based molecular generation approaches follow an atom-wise paradigm, incrementally adding atoms to a partially built molecular fragment within protein pockets. These methods, while effective in designing tightly…

In this report, we introduce UltraShape 1.0, a scalable 3D diffusion framework for high-fidelity 3D geometry generation. The proposed approach adopts a two-stage generation pipeline: a coarse global structure is first synthesized and then…

Computer Vision and Pattern Recognition · Computer Science 2025-12-29 Tanghui Jia , Dongyu Yan , Dehao Hao , Yang Li , Kaiyi Zhang , Xianyi He , Lanjiong Li , Yuhan Wang , Jinnan Chen , Lutao Jiang , Qishen Yin , Long Quan , Ying-Cong Chen , Li Yuan

Molecular conformer generation (MCG) is an important task in cheminformatics and drug discovery. The ability to efficiently generate low-energy 3D structures can avoid expensive quantum mechanical simulations, leading to accelerated virtual…

Machine Learning · Computer Science 2023-10-23 Danny Reidenbach , Aditi S. Krishnapriyan

Medical image synthesis plays a crucial role in clinical workflows, addressing the common issue of missing imaging modalities due to factors such as extended scan times, scan corruption, artifacts, patient motion, and intolerance to…

Image and Video Processing · Electrical Eng. & Systems 2025-07-23 Xiaojiao Xiao , Qinmin Vivian Hu , Guanghui Wang

Transformer-based autoregressive models have emerged as a unifying paradigm across modalities such as text and images, but their extension to 3D molecule generation remains underexplored. The gap stems from two fundamental challenges: (1)…

Machine Learning · Computer Science 2025-11-03 Haorui Li , Weitao Du , Yuqiang Li , Hongyu Guo , Shengchao Liu

The paradigm shift toward structure-driven molecule generation has been propelled by advances in deep generative models, such as variational auto-encoders and diffusion models. However, these generative models for molecular design remain…

Machine Learning · Computer Science 2026-04-17 Peidong Liu , Wenbo Zhang , Wei Ju , Jiancheng Lv , Xianggen Liu

Diffusion models have demonstrated remarkable performance in image and video synthesis. However, scaling them to high-resolution inputs is challenging and requires restructuring the diffusion pipeline into multiple independent components,…

Computer Vision and Pattern Recognition · Computer Science 2024-06-13 Ivan Skorokhodov , Willi Menapace , Aliaksandr Siarohin , Sergey Tulyakov

Molecular structure elucidation from spectra is a fundamental challenge in molecular science. Conventional approaches rely heavily on expert interpretation and lack scalability, while retrieval-based machine learning approaches remain…

Machine Learning · Computer Science 2025-11-06 Liang Wang , Yu Rong , Tingyang Xu , Zhenyi Zhong , Zhiyuan Liu , Pengju Wang , Deli Zhao , Qiang Liu , Shu Wu , Liang Wang , Yang Zhang

The exploration of transition state (TS) geometries is crucial for elucidating chemical reaction mechanisms and modeling their kinetics. Recently, machine learning (ML) models have shown remarkable performance for prediction of TS…

Chemical Physics · Physics 2023-10-13 Seonghwan Kim , Jeheon Woo , Woo Youn Kim

While diffusion models have shown great success in image generation, their noise-inverting generative process does not explicitly consider the structure of images, such as their inherent multi-scale nature. Inspired by diffusion models and…

Computer Vision and Pattern Recognition · Computer Science 2023-04-14 Severi Rissanen , Markus Heinonen , Arno Solin

Recent methods for molecular generation face a trade-off: they either enforce strict equivariance with costly architectures or relax it to gain scalability and flexibility. We propose a frame-based diffusion paradigm that achieves…

Machine Learning · Computer Science 2025-10-07 Mohan Guo , Cong Liu , Patrick Forré

Developing new molecular compounds is crucial to address pressing challenges, from health to environmental sustainability. However, exploring the molecular space to discover new molecules is difficult due to the vastness of the space. Here…

Machine Learning · Computer Science 2025-05-23 Manuel Ruiz-Botella , Marta Sales-Pardo , Roger Guimerà

Diffusion models have emerged as the best approach for generative modeling of 2D images. Part of their success is due to the possibility of training them on millions if not billions of images with a stable learning objective. However,…

Computer Vision and Pattern Recognition · Computer Science 2023-05-23 Animesh Karnewar , Andrea Vedaldi , David Novotny , Niloy Mitra

Recent advancements in video generation have primarily leveraged diffusion models for short-duration content. However, these approaches often fall short in modeling complex narratives and maintaining character consistency over extended…

Computer Vision and Pattern Recognition · Computer Science 2025-11-26 Canyu Zhao , Mingyu Liu , Wen Wang , Weihua Chen , Fan Wang , Hao Chen , Bo Zhang , Chunhua Shen

Generative models, especially diffusion models (DMs), have achieved promising results for generating feature-rich geometries and advancing foundational science problems such as molecule design. Inspired by the recent huge success of Stable…

Machine Learning · Computer Science 2023-05-03 Minkai Xu , Alexander Powers , Ron Dror , Stefano Ermon , Jure Leskovec

Developing an effective molecular generation framework even with a limited number of molecules is often important for its practical deployment, e.g., drug discovery, since acquiring task-related molecular data requires expensive and…

Machine Learning · Computer Science 2024-07-17 Seojin Kim , Jaehyun Nam , Sihyun Yu , Younghoon Shin , Jinwoo Shin

The performance of single image super-resolution depends heavily on how to generate and complement high-frequency details to low-resolution images. Recently, diffusion-based DDPM models exhibit great potential in generating high-quality…

Computer Vision and Pattern Recognition · Computer Science 2025-09-29 Xingjian Wang , Li Chai , Jiming Chen