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In this work, a two-dimensional time-fractional subdiffusion model is developed to investigate the underlying transport phenomena evolving in a binary medium comprised of two sub-domains occupied by homogeneous material. We utilise an…

Numerical Analysis · Mathematics 2021-02-05 Libo Feng , Ian Turner , Patrick Perre , Kevin Burrage

Diffusion autoencoders (DAs) are variants of diffusion generative models that use an input-dependent latent variable to capture representations alongside the diffusion process. These representations, to varying extents, can be used for…

Machine Learning · Computer Science 2025-06-03 Magdalena Proszewska , Nikolay Malkin , N. Siddharth

A variety of simulation methodologies have been used for modeling reaction-diffusion dynamics -- including approaches based on Differential Equations (DE), the Stochastic Simulation Algorithm (SSA), Brownian Dynamics (BD), Green's Function…

Chemical Physics · Physics 2021-05-21 Marcus Thomas , Russell Schwartz

Diffusion models recently developed for generative AI tasks can produce high-quality samples while still maintaining diversity among samples to promote mode coverage, providing a promising path for learning stochastic closure models.…

Machine Learning · Computer Science 2026-02-20 Xinghao Dong , Huchen Yang , Jin-long Wu

Multi-Agent Path Finding (MAPF) is a coordination problem that requires computing globally consistent, collision-free trajectories from individual start positions to assigned goal positions under combinatorial planning complexity. In dense…

Artificial Intelligence · Computer Science 2026-05-14 Yuanzhe Wang , Tian Zhi , Zihang Wei , Hongguang Wang , Jiaming Guo , Yang Zhao , Zisheng Liu , Shiyu Quan , Xing Hu , Zidong Du , Yunji Chen

Diffusion models have been demonstrated as strong priors for solving general inverse problems. Most existing Diffusion model-based Inverse Problem Solvers (DIS) employ a plug-and-play approach to guide the sampling trajectory with either…

Computer Vision and Pattern Recognition · Computer Science 2024-07-18 Jiankun Zhao , Bowen Song , Liyue Shen

Training robust learning algorithms across different medical imaging modalities is challenging due to the large domain gap. Unsupervised domain adaptation (UDA) mitigates this problem by using annotated images from the source domain and…

Computer Vision and Pattern Recognition · Computer Science 2025-09-29 Chen Li , Meilong Xu , Xiaoling Hu , Weimin Lyu , Chao Chen

Implementing multicomponent diffusion models in reacting-flow simulations is computationally expensive due to the challenges involved in calculating diffusion coefficients. Instead, mixture-averaged diffusion treatments are typically used…

Existing diffusion-based purification methods aim to disrupt adversarial perturbations by introducing a certain amount of noise through a forward diffusion process, followed by a reverse process to recover clean examples. However, this…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Gaozheng Pei , Shaojie Lyu , Gong Chen , Ke Ma , Qianqian Xu , Yingfei Sun , Qingming Huang

We study the convergence of the new family of mimetic finite difference schemes for linear diffusion problems recently proposed in [38]. In contrast to the conventional approach, the diffusion coefficient enters both the primary mimetic…

Numerical Analysis · Mathematics 2016-12-07 G. Manzini , K. Lipnikov , J. D. Moulton , M. Shashkov

Diffusion models with large-scale pre-training have achieved significant success in the field of visual content generation, particularly exemplified by Diffusion Transformers (DiT). However, DiT models have faced challenges with quadratic…

Computer Vision and Pattern Recognition · Computer Science 2024-11-28 Lianghui Zhu , Zilong Huang , Bencheng Liao , Jun Hao Liew , Hanshu Yan , Jiashi Feng , Xinggang Wang

Motivated by cosmic ray (CR) re-acceleration at a potential Galactic Wind Termination Shock (GWTS), we present a numerical model for time-dependent Diffusive Shock Acceleration (DSA). We use the stochastic differential equation solver…

High Energy Astrophysical Phenomena · Physics 2023-12-07 Sophie Aerdker , Lukas Merten , Julia Becker Tjus , Dominik Walter , Frederic Effenberger , Horst Fichtner

Diffusion models have demonstrated remarkable success in various image generation tasks, but their performance is often limited by the uniform processing of inputs across varying conditions and noise levels. To address this limitation, we…

Computer Vision and Pattern Recognition · Computer Science 2025-03-19 Minglei Shi , Ziyang Yuan , Haotian Yang , Xintao Wang , Mingwu Zheng , Xin Tao , Wenliang Zhao , Wenzhao Zheng , Jie Zhou , Jiwen Lu , Pengfei Wan , Di Zhang , Kun Gai

Diffusion models have seen rapid adoption in robotic imitation learning, enabling autonomous execution of complex dexterous tasks. However, action synthesis is often slow, requiring many steps of iterative denoising, limiting the extent to…

Robotics · Computer Science 2024-10-14 Sigmund H. Høeg , Yilun Du , Olav Egeland

Diffusion model has become a main paradigm for synthetic data generation in many subfields of modern machine learning, including computer vision, language model, or speech synthesis. In this paper, we leverage the power of diffusion model…

Machine Learning · Statistics 2023-11-20 Namjoon Suh , Xiaofeng Lin , Din-Yin Hsieh , Merhdad Honarkhah , Guang Cheng

Satellites are widely used to estimate and monitor ground cover, providing critical information to address the challenges posed by climate change. High-resolution satellite images help to identify smaller features on the ground and…

Image and Video Processing · Electrical Eng. & Systems 2024-11-19 Jhanavi Hegde

Recent advances in diffusion models attempt to handle conditional generative tasks by utilizing a differentiable loss function for guidance without the need for additional training. While these methods achieved certain success, they often…

Machine Learning · Computer Science 2024-07-08 Lingxiao Yang , Shutong Ding , Yifan Cai , Jingyi Yu , Jingya Wang , Ye Shi

Diffusion probabilistic models (DPMs) have achieved impressive success in visual generation. While, they suffer from slow inference speed due to iterative sampling. Employing fewer sampling steps is an intuitive solution, but this will also…

Computer Vision and Pattern Recognition · Computer Science 2025-06-17 Hu Yu , Hao Luo , Fan Wang , Feng Zhao

The scarcity of annotated surgical data poses a significant challenge for developing deep learning systems in computer-assisted interventions. While diffusion models can synthesize realistic images, they often suffer from data memorization,…

Computer Vision and Pattern Recognition · Computer Science 2025-09-24 Danush Kumar Venkatesh , Stefanie Speidel

In theory, diffusion curves promise complex color gradations for infinite-resolution vector graphics. In practice, existing realizations suffer from poor scaling, discretization artifacts, or insufficient support for rich boundary…

Numerical Analysis · Mathematics 2023-11-27 Seungbae Bang , Kirill Serkh , Oded Stein , Alec Jacobson
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