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This paper explores the efficacy of diffusion-based generative models as neural operators for partial differential equations (PDEs). Neural operators are neural networks that learn a mapping from the parameter space to the solution space of…

Machine Learning · Computer Science 2024-12-17 Katsiaryna Haitsiukevich , Onur Poyraz , Pekka Marttinen , Alexander Ilin

Diffusion models are a state-of-the-art generative modeling framework that transform noise to images via Langevin sampling, guided by the score, which is the gradient of the logarithm of the data distribution. Recent works have shown…

Machine Learning · Computer Science 2025-08-01 Aadithya Srikanth , Siddarth Asokan , Nishanth Shetty , Chandra Sekhar Seelamantula

This paper aims to conduct a comprehensive theoretical analysis of current diffusion models. We introduce a novel generative learning methodology utilizing the Schr{\"o}dinger bridge diffusion model in latent space as the framework for…

Machine Learning · Statistics 2024-12-24 Yuling Jiao , Lican Kang , Huazhen Lin , Jin Liu , Heng Zuo

Generative models have been widely studied in computer vision. Recently, diffusion models have drawn substantial attention due to the high quality of their generated images. A key desired property of image generative models is the ability…

Computer Vision and Pattern Recognition · Computer Science 2022-12-20 Qiucheng Wu , Yujian Liu , Handong Zhao , Ajinkya Kale , Trung Bui , Tong Yu , Zhe Lin , Yang Zhang , Shiyu Chang

Generative AI presents chemists with novel ideas for drug design and facilitates the exploration of vast chemical spaces. Diffusion models (DMs), an emerging tool, have recently attracted great attention in drug R\&D. This paper…

Biomolecules · Quantitative Biology 2025-07-14 Peining Zhang , Daniel Baker , Minghu Song , Jinbo Bi

Neural networks are known to be susceptible to adversarial samples: small variations of natural examples crafted to deliberately mislead the models. While they can be easily generated using gradient-based techniques in digital and physical…

Computer Vision and Pattern Recognition · Computer Science 2024-01-18 Haotian Xue , Alexandre Araujo , Bin Hu , Yongxin Chen

Current deep networks are very data-hungry and benefit from training on largescale datasets, which are often time-consuming to collect and annotate. By contrast, synthetic data can be generated infinitely using generative models such as…

Computer Vision and Pattern Recognition · Computer Science 2023-10-11 Weijia Wu , Yuzhong Zhao , Hao Chen , Yuchao Gu , Rui Zhao , Yefei He , Hong Zhou , Mike Zheng Shou , Chunhua Shen

Diffusion models have demonstrated exceptional efficacy in various generative applications. While existing models focus on minimizing a weighted sum of denoising score matching losses for data distribution modeling, their training primarily…

Computer Vision and Pattern Recognition · Computer Science 2024-03-07 Ling Yang , Haotian Qian , Zhilong Zhang , Jingwei Liu , Bin Cui

Implicit generative models have the capability to learn arbitrary complex data distributions. On the downside, training requires telling apart real data from artificially-generated ones using adversarial discriminators, leading to unstable…

Machine Learning · Computer Science 2024-02-27 José Manuel de Frutos , Pablo M. Olmos , Manuel A. Vázquez , Joaquín Míguez

This report presents the comprehensive implementation, evaluation, and optimization of Denoising Diffusion Probabilistic Models (DDPMs) and Denoising Diffusion Implicit Models (DDIMs), which are state-of-the-art generative models. During…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Jaineet Shah , Michael Gromis , Rickston Pinto

Despite the proliferation of generative models, achieving fast sampling during inference without compromising sample diversity and quality remains challenging. Existing models such as Denoising Diffusion Probabilistic Models (DDPM) deliver…

Machine Learning · Computer Science 2023-10-12 Yanwu Xu , Mingming Gong , Shaoan Xie , Wei Wei , Matthias Grundmann , Kayhan Batmanghelich , Tingbo Hou

In this work, a new data-driven fiber channel modeling method, generative adversarial network (GAN) is investigated to learn the distribution of fiber channel transfer function. Our investigation focuses on joint channel effects of…

Information Theory · Computer Science 2022-01-19 Hang Yang , Zekun Niu , Shilin Xiao , Jiafei Fang , Zhiyang Liu , David Faninsin , Lilin Yi

Score-based diffusion models are a powerful class of generative models, but their practical use often depends on training neural networks to approximate the score function. Training-free diffusion models provide an attractive alternative by…

Numerical Analysis · Mathematics 2026-01-28 Pengjun Wang , Zezhong Zhang , Minglei Yang , Feng Bao , Yanzhao Cao , Guannan Zhang

This paper investigates robust semantic communications over multiple-input multiple-output (MIMO) fading channels. Current semantic communications over MIMO channels mainly focus on channel adaptive encoding and decoding, which lacks…

Information Theory · Computer Science 2024-07-09 Yiheng Duan , Tong Wu , Zhiyong Chen , Meixia Tao

This paper introduces a new approach to generating sample paths of unknown Markovian stochastic differential equations (SDEs) using diffusion models, a class of generative AI methods commonly employed in image and video applications. Unlike…

Machine Learning · Computer Science 2026-03-17 Xuefeng Gao , Jiale Zha , Xun Yu Zhou

It is well accepted that acquiring downlink channel state information in frequency division duplexing (FDD) massive multiple-input multiple-output (MIMO) systems is challenging because of the large overhead in training and feedback. In this…

Information Theory · Computer Science 2022-05-18 Javad Mirzaei , Shahram ShahbazPanahi , Raviraj Adve , Navaneetha Gopal

Diffusion models are powerful generative models that map noise to data using stochastic processes. However, for many applications such as image editing, the model input comes from a distribution that is not random noise. As such, diffusion…

Computer Vision and Pattern Recognition · Computer Science 2023-12-06 Linqi Zhou , Aaron Lou , Samar Khanna , Stefano Ermon

Diffusion models, a powerful and universal generative AI technology, have achieved tremendous success in computer vision, audio, reinforcement learning, and computational biology. In these applications, diffusion models provide flexible…

Machine Learning · Computer Science 2024-04-12 Minshuo Chen , Song Mei , Jianqing Fan , Mengdi Wang

Diffusion models have been extensively utilized in AI-generated content (AIGC) in recent years, thanks to the superior generation capabilities. Combining with semantic communications, diffusion models are used for tasks such as denoising,…

Machine Learning · Computer Science 2025-07-10 Lei Guo , Wei Chen , Yuxuan Sun , Bo Ai , Nikolaos Pappas , Tony Q. S. Quek

Diffusion-based models have shown great promise in molecular generation but often require a large number of sampling steps to generate valid samples. In this paper, we introduce a novel Straight-Line Diffusion Model (SLDM) to tackle this…

Machine Learning · Computer Science 2025-06-10 Yuyan Ni , Shikun Feng , Haohan Chi , Bowen Zheng , Huan-ang Gao , Wei-Ying Ma , Zhi-Ming Ma , Yanyan Lan
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