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Diffusion-based inverse algorithms have shown remarkable performance across various inverse problems, yet their reliance on numerous denoising steps incurs high computational costs. While recent developments of fast diffusion ODE solvers…

Computer Vision and Pattern Recognition · Computer Science 2025-10-22 Jiawei Zhang , Ziyuan Liu , Leon Yan , Gen Li , Yuantao Gu

Generative modeling within constrained sets is essential for scientific and engineering applications involving physical, geometric, or safety requirements (e.g., molecular generation, robotics). We present a unified framework for…

Machine Learning · Computer Science 2026-04-21 Kijung Jeon , Michael Muehlebach , Molei Tao

The aim of this paper is to contribute to the understanding of the pattern formation phenomenon in reaction-diffusion equations coupled with ordinary differential equations. Such systems of equations arise, for example, from modeling of…

Analysis of PDEs · Mathematics 2016-07-15 Anna Marciniak-Czochra , Grzegorz Karch , Kanako Suzuki

This paper proposes the use of a Spectral method to simulate diffusive moisture transfer through porous materials as a Reduced-Order Model (ROM). The Spectral approach is an a priori method assuming a separated representation of the…

Computational Physics · Physics 2020-02-20 Suelen Gasparin , Julien Berger , Denys Dutykh , Nathan Mendes

Current state-of-the-art diffusion models employ U-Net architectures containing convolutional and (qkv) self-attention layers. The U-Net processes images while being conditioned on the time embedding input for each sampling step and the…

Computer Vision and Pattern Recognition · Computer Science 2024-10-07 Joo Young Choi , Jaesung R. Park , Inkyu Park , Jaewoong Cho , Albert No , Ernest K. Ryu

Recent literature has effectively leveraged diffusion models trained on continuous variables as priors for solving inverse problems. Notably, discrete diffusion models with discrete latent codes have shown strong performance, particularly…

Computer Vision and Pattern Recognition · Computer Science 2025-09-22 Naoki Murata , Chieh-Hsin Lai , Yuhta Takida , Toshimitsu Uesaka , Bac Nguyen , Stefano Ermon , Yuki Mitsufuji

Cylindrical lattice diffusion limited aggregation (DLA), with a narrow width N, is solved for site-sticking conditions using a Markovian matrix method (which was previously developed for the bond-sticking case). This matrix contains the…

Statistical Mechanics · Physics 2009-10-31 Boaz Kol , Amnon Aharony

A standard approach to solving the S$_N$ transport equations is to use source iteration with diffusion synthetic acceleration (DSA). Although this approach is widely used and effective on many problems, there remain some practical issues…

Numerical Analysis · Mathematics 2020-07-22 Ben S. Southworth , Milan Holec , Terry S. Haut

Discrete diffusion models have seen a surge of attention with applications on naturally discrete data such as language and graphs. Although discrete-time discrete diffusion has been established for a while, only recently Campbell et al.…

Machine Learning · Computer Science 2024-08-13 Lingxiao Zhao , Xueying Ding , Lijun Yu , Leman Akoglu

High-resolution computed tomography (CT) imaging is essential for medical diagnosis but requires increased radiation exposure, creating a critical trade-off between image quality and patient safety. While deep learning methods have shown…

Image and Video Processing · Electrical Eng. & Systems 2025-06-16 Chunlei Li , Yilei Shi , Haoxi Hu , Jingliang Hu , Xiao Xiang Zhu , Lichao Mou

Recent advancements in diffusion models (DMs) have greatly advanced remote sensing image super-resolution (RSISR). However, their iterative sampling processes often result in slow inference speeds, limiting their application in real-time…

Image and Video Processing · Electrical Eng. & Systems 2025-03-26 Xiaohui Sun , Jiangwei Mo , Hanlin Wu , Jie Ma

Producing quality segmentation masks for images is a fundamental problem in computer vision. Recent research has explored large-scale supervised training to enable zero-shot segmentation on virtually any image style and unsupervised…

Computer Vision and Pattern Recognition · Computer Science 2024-04-03 Junjiao Tian , Lavisha Aggarwal , Andrea Colaco , Zsolt Kira , Mar Gonzalez-Franco

Vision-Language-Action (VLA) models adapt large vision-language backbones to map images and instructions into robot actions. However, prevailing VLAs either generate actions auto-regressively in a fixed left-to-right order or attach…

Computer Vision and Pattern Recognition · Computer Science 2025-12-23 Zhixuan Liang , Yizhuo Li , Tianshuo Yang , Chengyue Wu , Sitong Mao , Tian Nian , Liuao Pei , Shunbo Zhou , Xiaokang Yang , Jiangmiao Pang , Yao Mu , Ping Luo

This paper presents a novel framework to accelerate score-based diffusion models. It first converts the standard stable diffusion model into the Fokker-Planck formulation which results in solving large linear systems for each image. For…

Computer Vision and Pattern Recognition · Computer Science 2026-04-07 Kaikwan Lau , Andrew S. Na , Justin W. L. Wan

Reinforcement learning has emerged as a powerful tool for improving diffusion-based text-to-image models, but existing methods are largely limited to single-task optimization. Extending RL to multiple tasks is challenging: joint…

Machine Learning · Computer Science 2026-05-15 Quanhao Li , Junqiu Yu , Kaixun Jiang , Yujie Wei , Zhen Xing , Pandeng Li , Ruihang Chu , Shiwei Zhang , Yu Liu , Zuxuan Wu

Diffusion models have quickly become some of the most popular and powerful generative models for high-dimensional data. The key insight that enabled their development was the realization that access to the score -- the gradient of the…

Machine Learning · Computer Science 2025-12-01 Zhenghan Fang , Mateo Díaz , Sam Buchanan , Jeremias Sulam

Mixture-of-Experts-based (MoE-based) diffusion models demonstrate remarkable scalability in high-fidelity image generation, yet their reliance on expert parallelism introduces critical communication bottlenecks. State-of-the-art methods…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-01 Jiajun Luo , Lizhuo Luo , Jianru Xu , Jiajun Song , Rongwei Lu , Chen Tang , Zhi Wang

Diffusion models have gained prominence in generating high-quality sequences of text. Nevertheless, current approaches predominantly represent discrete text within a continuous diffusion space, which incurs substantial computational…

Machine Learning · Computer Science 2023-10-17 Shansan Gong , Mukai Li , Jiangtao Feng , Zhiyong Wu , Lingpeng Kong

Latent diffusion models have made great strides in generating expressive portrait videos with accurate lip-sync and natural motion from a single reference image and audio input. However, these models are far from real-time, often requiring…

Computer Vision and Pattern Recognition · Computer Science 2024-12-19 Hanzhong Guo , Hongwei Yi , Daquan Zhou , Alexander William Bergman , Michael Lingelbach , Yizhou Yu

Recent diffusion-based one-step methods have shown remarkable progress in the field of image super-resolution, yet they remain constrained by three critical limitations: (1) inferior fidelity performance caused by the information loss from…

Computer Vision and Pattern Recognition · Computer Science 2025-12-17 Hao Chen , Junyang Chen , Jinshan Pan , Jiangxin Dong