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We consider a stabilization method for divergence-conforming B-spline discretizations of the incompressible Navier--Stokes problem wherein jumps in high-order normal derivatives of the velocity field are penalized across interior mesh…

Numerical Analysis · Mathematics 2022-01-28 Guoxiang Grayson Tong , David Kamensky , John A. Evans

Diffusion models have significantly advanced the state of the art in image, audio, and video generation tasks. However, their applications in practical scenarios are hindered by slow inference speed. Drawing inspiration from the…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Chen Xu , Tianhui Song , Weixin Feng , Xubin Li , Tiezheng Ge , Bo Zheng , Limin Wang

Elucidating reaction mechanisms hinges on efficiently generating transition states (TSs), products, and complete reaction networks. Recent generative models, such as diffusion models for TS sampling and sequence-based architectures for…

Chemical Physics · Physics 2025-11-06 Ping Tuo , Jiale Chen , Ju Li

The diffusion model has demonstrated promising results in image generation, recently becoming mainstream and representing a notable advancement for many generative modeling tasks. Prior applications of the diffusion model for both fast…

Instrumentation and Detectors · Physics 2025-06-18 Cheng Jiang , Sitian Qian , Huilin Qu

Score-based generative models, which transform noise into data by learning to reverse a diffusion process, have become a cornerstone of modern generative AI. This paper contributes to establishing theoretical guarantees for the probability…

Machine Learning · Statistics 2025-02-03 Jiaqi Tang , Yuling Yan

Point-based image editing has attracted remarkable attention since the emergence of DragGAN. Recently, DragDiffusion further pushes forward the generative quality via adapting this dragging technique to diffusion models. Despite these great…

Computer Vision and Pattern Recognition · Computer Science 2024-03-08 Yutao Cui , Xiaotong Zhao , Guozhen Zhang , Shengming Cao , Kai Ma , Limin Wang

Diffusion models (DMs) are a class of generative models that allow sampling from a distribution learned over a training set. When applied to solving inverse problems, the reverse sampling steps are modified to approximately sample from a…

Image and Video Processing · Electrical Eng. & Systems 2025-05-27 Ismail Alkhouri , Shijun Liang , Cheng-Han Huang , Jimmy Dai , Qing Qu , Saiprasad Ravishankar , Rongrong Wang

Thanks to the powerful generative capacity of diffusion models, recent years have witnessed rapid progress in human motion generation. Existing diffusion-based methods employ disparate network architectures and training strategies. The…

Computer Vision and Pattern Recognition · Computer Science 2024-12-10 Yiheng Huang , Hui Yang , Chuanchen Luo , Yuxi Wang , Shibiao Xu , Zhaoxiang Zhang , Man Zhang , Junran Peng

Training-free diffusion guidance offers a flexible framework for leveraging off-the-shelf classifiers without additional training. Yet, current approaches hinge on posterior approximations via Tweedie's formula, which often yield unreliable…

Machine Learning · Computer Science 2026-05-19 Van Khoa Nguyen , Lionel Blondé , Alexandros Kalousis

Diffusion models have demonstrated promising performance in real-world video super-resolution (VSR). However, the dozens of sampling steps they require, make inference extremely slow. Sampling acceleration techniques, particularly…

Computer Vision and Pattern Recognition · Computer Science 2025-11-07 Zheng Chen , Zichen Zou , Kewei Zhang , Xiongfei Su , Xin Yuan , Yong Guo , Yulun Zhang

The ability to embed watermarks in images is a fundamental problem of interest for computer vision, and is exacerbated by the rapid rise of generated imagery in recent times. Current state-of-the-art techniques suffer from computational and…

Image and Video Processing · Electrical Eng. & Systems 2025-09-17 Vinay Shukla , Prachee Sharma , Ryan Rossi , Sungchul Kim , Tong Yu , Aditya Grover

Recent advances in flow-based generative models have enabled training-free, text-guided image editing by inverting an image into its latent noise and regenerating it under a new target conditional guidance. However, existing methods…

Computer Vision and Pattern Recognition · Computer Science 2026-04-03 Thinh Dao , Zhen Wang , Kien T. Pham , Long Chen

We propose an inference-time scaling approach for pretrained flow models. Recently, inference-time scaling has gained significant attention in LLMs and diffusion models, improving sample quality or better aligning outputs with user…

Computer Vision and Pattern Recognition · Computer Science 2025-10-27 Jaihoon Kim , Taehoon Yoon , Jisung Hwang , Minhyuk Sung

While diffusion models have revolutionized text-to-image generation with their ability to synthesize realistic and diverse scenes, they continue to struggle to generate consistent and legible text within images. This shortcoming is commonly…

Machine Learning · Computer Science 2025-09-16 Tianyu Zhang , Xinyu Wang , Lu Li , Zhenghan Tai , Jijun Chi , Jingrui Tian , Hailin He , Suyuchen Wang

Diffusion models and flow matching have demonstrated remarkable success in text-to-image generation. While many existing alignment methods primarily focus on fine-tuning pre-trained generative models to maximize a given reward function,…

Machine Learning · Statistics 2026-02-03 Yidong Ouyang , Liyan Xie , Hongyuan Zha , Guang Cheng

Straightening the probability flow of the continuous-time generative models, such as diffusion models or flow-based models, is the key to fast sampling through the numerical solvers, existing methods learn a linear path by directly…

Machine Learning · Computer Science 2024-02-16 Jongmin Yoon , Juho Lee

Although powerful for image generation, consistent and controllable video is a longstanding problem for diffusion models. Video models require extensive training and computational resources, leading to high costs and large environmental…

Computer Vision and Pattern Recognition · Computer Science 2024-10-10 Muhammad Haaris Khan , Hadrien Reynaud , Bernhard Kainz

Diffusion and flow-matching have emerged as powerful methodologies for generative modeling, with remarkable success in capturing complex data distributions and enabling flexible guidance at inference time. Many downstream applications,…

Machine Learning · Computer Science 2026-04-28 Zeyang Li , Kaveh Alim , Navid Azizan

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

The paper aims at developing low-storage implicit Runge-Kutta methods which are easy to implement and achieve higher-order of convergence for both the velocity and pressure in the finite volume formulation of the incompressible…

Numerical Analysis · Mathematics 2019-07-08 Jiawei Wan , Ahsan Kareem , Haili Liao , Yunzhu Cai