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We show that propagation speeds in invasion processes modeled by reaction-diffusion systems are determined by marginal spectral stability conditions, as predicted by the marginal stability conjecture. This conjecture was recently settled in…

Analysis of PDEs · Mathematics 2023-10-24 Montie Avery

We present an novel framework for efficiently and effectively extending the powerful continuous diffusion processes to discrete modeling. Previous approaches have suffered from the discrepancy between discrete data and continuous modeling.…

Machine Learning · Computer Science 2024-10-31 Yuxuan Gu , Xiaocheng Feng , Lei Huang , Yingsheng Wu , Zekun Zhou , Weihong Zhong , Kun Zhu , Bing Qin

Diffusion models achieved great success in image synthesis, but still face challenges in high-resolution generation. Through the lens of discrete cosine transformation, we find the main reason is that \emph{the same noise level on a higher…

Computer Vision and Pattern Recognition · Computer Science 2023-09-08 Jiayan Teng , Wendi Zheng , Ming Ding , Wenyi Hong , Jianqiao Wangni , Zhuoyi Yang , Jie Tang

In recent years, the development of diffusion models has led to significant progress in image and video generation tasks, with pre-trained models like the Stable Diffusion series playing a crucial role. Inspired by model pruning which…

Computer Vision and Pattern Recognition · Computer Science 2025-04-03 Teng Hu , Jiangning Zhang , Ran Yi , Hongrui Huang , Yabiao Wang , Lizhuang Ma

Diffusion models, praised for their success in generative tasks, are increasingly being applied to robotics, demonstrating exceptional performance in behavior cloning. However, their slow generation process stemming from iterative denoising…

Convection-diffusion problem are the base for continuum mechanics. The main features of these problems are associated with an indefinite operator the problem. In this work we construct unconditionally stable scheme for non-stationary…

Numerical Analysis · Computer Science 2012-08-31 N. Afanasyeva , P. Vabishchevich , M. Vasil'eva

In implicit time marching of the radiative transfer equation (RTE), the resulting linear systems are commonly solved using source iteration with diffusion synthetic acceleration (SI-DSA). Despite its widespread success, the performance of…

Numerical Analysis · Mathematics 2026-03-23 Ningxin Liu , Zhichao Peng

Discrete diffusion models have recently shown significant progress in modeling complex data, such as natural languages and DNA sequences. However, unlike diffusion models for continuous data, which can generate high-quality samples in just…

Machine Learning · Computer Science 2025-03-20 Anji Liu , Oliver Broadrick , Mathias Niepert , Guy Van den Broeck

The inverse problem of backward diffusion is known to be ill-posed and highly unstable. Backward diffusion processes appear naturally in image enhancement and deblurring applications. It is therefore greatly desirable to establish a…

Numerical Analysis · Mathematics 2020-06-18 Leif Bergerhoff , Marcelo Cárdenas , Joachim Weickert , Martin Welk

The diffusion model has recently emerged as a potent approach in computer vision, demonstrating remarkable performances in the field of generative artificial intelligence. Capable of producing high-quality synthetic images, diffusion models…

Image and Video Processing · Electrical Eng. & Systems 2025-05-14 Abdullah , Tao Huang , Ickjai Lee , Euijoon Ahn

Diffusion-based language models (dLLMs) have emerged as a promising alternative to traditional autoregressive LLMs by enabling parallel token generation and significantly reducing inference latency. However, existing sampling strategies for…

Computation and Language · Computer Science 2026-04-01 Qingyan Wei , Yaojie Zhang , Zhiyuan Liu , Puyu Zeng , Yuxuan Wang , Biqing Qi , Dongrui Liu , Linfeng Zhang

Although diffusion models (DMs) have shown promising performances in a number of tasks (e.g., speech synthesis and image generation), they might suffer from error propagation because of their sequential structure. However, this is not…

Machine Learning · Computer Science 2024-01-19 Yangming Li , Mihaela van der Schaar

In the context of continuously rising global air traffic, efficient and safe Conflict Detection and Resolution (CD&R) is paramount for air traffic management. Although Deep Reinforcement Learning (DRL) offers a promising pathway for CD&R…

Artificial Intelligence · Computer Science 2025-09-05 Tonghe Li , Jixin Liu , Weili Zeng , Hao Jiang

This work presents TV-LoRA, a novel method for low-dose sparse-view CT reconstruction that combines a diffusion generative prior (NCSN++ with SDE modeling) and multi-regularization constraints, including anisotropic TV and nuclear norm…

Computer Vision and Pattern Recognition · Computer Science 2025-10-07 Zongyin Deng , Qing Zhou , Yuhao Fang , Zijian Wang , Yao Lu , Ye Zhang , Chun Li

Stably placing an object in a multi-object scene is a fundamental challenge in robotic manipulation, as placements must be penetration-free, establish precise surface contact, and result in a force equilibrium. To assess stability, existing…

Robotics · Computer Science 2025-09-29 Philippe Nadeau , Miguel Rogel , Ivan Bilić , Ivan Petrović , Jonathan Kelly

We present Acc3D to tackle the challenge of accelerating the diffusion process to generate 3D models from single images. To derive high-quality reconstructions through few-step inferences, we emphasize the critical issue of regularizing the…

Computer Vision and Pattern Recognition · Computer Science 2025-03-21 Kendong Liu , Zhiyu Zhu , Hui Liu , Junhui Hou

Masked Diffusion Models (MDMs) provide an efficient non-causal alternative to autoregressive generation but often struggle with token dependencies and semantic incoherence due to their reliance on discrete marginal distributions. We address…

Computation and Language · Computer Science 2026-04-20 Roy Uziel , Omer Belhasin , Itay Levy , Akhiad Bercovich , Ran El-Yaniv , Ran Zilberstein , Michael Elad

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

While super-resolution (SR) methods based on diffusion models (DM) have demonstrated inspiring performance, their deployment is impeded due to the heavy request of memory and computation. Recent researchers apply two kinds of methods to…

Computer Vision and Pattern Recognition · Computer Science 2025-02-05 Kai Liu , Kaicheng Yang , Zheng Chen , Zhiteng Li , Yong Guo , Wenbo Li , Linghe Kong , Yulun Zhang

By embedding discrete representations into a continuous latent space, we can leverage continuous-space latent diffusion models to handle generative modeling of discrete data. However, despite their initial success, most latent diffusion…

Machine Learning · Computer Science 2025-04-02 Bac Nguyen , Chieh-Hsin Lai , Yuhta Takida , Naoki Murata , Toshimitsu Uesaka , Stefano Ermon , Yuki Mitsufuji