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Score-based diffusion models (SBDM) have recently emerged as state-of-the-art approaches for image generation. Existing SBDMs are typically formulated in a finite-dimensional setting, where images are considered as tensors of finite size.…

Machine Learning · Computer Science 2024-10-22 Paul Hagemann , Sophie Mildenberger , Lars Ruthotto , Gabriele Steidl , Nicole Tianjiao Yang

Diffusion-based image-to-image (I2I) translation excels in high-fidelity generation but suffers from slow sampling in state-of-the-art Diffusion Bridge Models (DBMs), often requiring dozens of function evaluations (NFEs). We introduce…

Computer Vision and Pattern Recognition · Computer Science 2026-05-08 Sankarshana Venugopal , Mohammad Mostafavi , Jonghyun Choi

Diffusion models are powerful generative models that simulate the reverse of diffusion processes using score functions to synthesize data from noise. The sampling process of diffusion models can be interpreted as solving the reverse…

Machine Learning · Computer Science 2022-09-30 Beomsu Kim , Jong Chul Ye

We develop a class of data-driven generative models that approximate the solution operator for parameter-dependent partial differential equations (PDE). We propose a novel probabilistic formulation of the operator learning problem based on…

Numerical Analysis · Mathematics 2026-04-21 Ting Wang , Petr Plechac , Jaroslaw Knap

Denoising Diffusion Probabilistic Models (DDPM) have recently gained significant attention. DDPMs compose a Markovian process that begins in the data domain and gradually adds noise until reaching pure white noise. DDPMs generate…

Computer Vision and Pattern Recognition · Computer Science 2024-07-09 Shady Abu-Hussein , Raja Giryes

Generative diffusion models, famous for their performance in image generation, are popular in various cross-domain applications. However, their use in the communication community has been mostly limited to auxiliary tasks like data modeling…

Networking and Internet Architecture · Computer Science 2025-03-11 Ruihuai Liang , Bo Yang , Zhiwen Yu , Bin Guo , Xuelin Cao , Mérouane Debbah , H. Vincent Poor , Chau Yuen

Solving ill-posed inverse problems requires careful formulation of prior beliefs over the signals of interest and an accurate description of their manifestation into noisy measurements. Handcrafted signal priors based on e.g. sparsity are…

Machine Learning · Computer Science 2025-08-14 Tristan S. W. Stevens , Hans van Gorp , Faik C. Meral , Junseob Shin , Jason Yu , Jean-Luc Robert , Ruud J. G. van Sloun

Although recent speech processing technologies have achieved significant improvements in objective metrics, there still remains a gap in human perceptual quality. This paper proposes Diffiner, a novel solution that utilizes the powerful…

Audio and Speech Processing · Electrical Eng. & Systems 2026-02-11 Masato Hirano , Ryosuke Sawata , Naoki Murata , Shusuke Takahashi , Yuki Mitsufuji

Diffusion models (DMs) represent state-of-the-art generative models for continuous inputs. DMs work by constructing a Stochastic Differential Equation (SDE) in the input space (ie, position space), and using a neural network to reverse it.…

Machine Learning · Computer Science 2024-05-14 Tianrong Chen , Jiatao Gu , Laurent Dinh , Evangelos A. Theodorou , Joshua Susskind , Shuangfei Zhai

Diffusion models (DMs) have recently achieved significant success in wireless communications systems due to their denoising capabilities. The broadcast nature of wireless signals makes them susceptible not only to Gaussian noise, but also…

Information Theory · Computer Science 2025-05-27 Tong Wu , Zhiyong Chen , Dazhi He , Feng Yang , Meixia Tao , Xiaodong Xu , Wenjun Zhang , Ping Zhang

Diffusion probabilistic models have shown impressive performance for speech enhancement, but they typically require 25 to 60 function evaluations in the inference phase, resulting in heavy computational complexity. Recently, a fine-tuning…

Audio and Speech Processing · Electrical Eng. & Systems 2025-08-12 Seonggyu Lee , Sein Cheong , Sangwook Han , Jong Won Shin

Diffusion models (DMs) have proven to be effective in modeling high-dimensional distributions, leading to their widespread adoption for representing complex priors in Bayesian inverse problems (BIPs). However, current DM-based posterior…

Machine Learning · Computer Science 2025-06-06 Haoxuan Chen , Yinuo Ren , Martin Renqiang Min , Lexing Ying , Zachary Izzo

Nowadays, denoising diffusion probabilistic models have been adapted for many image segmentation tasks. However, existing end-to-end models have already demonstrated remarkable capabilities. Rather than using denoising diffusion…

Computer Vision and Pattern Recognition · Computer Science 2023-12-07 Shi Zhenning , Dong Changsheng , Xie Xueshuo , Pan Bin , He Along , Li Tao

The proposed BSDE-based diffusion model represents a novel approach to diffusion modeling, which extends the application of stochastic differential equations (SDEs) in machine learning. Unlike traditional SDE-based diffusion models, our…

Machine Learning · Computer Science 2023-04-27 Zihao Wang

Speech super-resolution (SR) is the task that restores high-resolution speech from low-resolution input. Existing models employ simulated data and constrained experimental settings, which limit generalization to real-world SR. Predictive…

Audio and Speech Processing · Electrical Eng. & Systems 2024-01-26 Heming Wang , Eric W. Healy , DeLiang Wang

Diffusion probabilistic models (DPMs) are a class of powerful deep generative models (DGMs). Despite their success, the iterative generation process over the full timesteps is much less efficient than other DGMs such as GANs. Thus, the…

Machine Learning · Computer Science 2022-06-16 Fan Bao , Chongxuan Li , Jiacheng Sun , Jun Zhu , Bo Zhang

This paper proposes a new unsupervised audio-visual speech enhancement (AVSE) approach that combines a diffusion-based audio-visual speech generative model with a non-negative matrix factorization (NMF) noise model. First, the diffusion…

Sound · Computer Science 2025-01-16 Jean-Eudes Ayilo , Mostafa Sadeghi , Romain Serizel , Xavier Alameda-Pineda

Blind face restoration (BFR) is important while challenging. Prior works prefer to exploit GAN-based frameworks to tackle this task due to the balance of quality and efficiency. However, these methods suffer from poor stability and…

Computer Vision and Pattern Recognition · Computer Science 2023-08-09 Xinmin Qiu , Congying Han , Zicheng Zhang , Bonan Li , Tiande Guo , Xuecheng Nie

Recent score-based diffusion models (SBDMs) show promising results in unpaired image-to-image translation (I2I). However, existing methods, either energy-based or statistically-based, provide no explicit form of the interfered intermediate…

Computer Vision and Pattern Recognition · Computer Science 2023-08-07 Shikun Sun , Longhui Wei , Junliang Xing , Jia Jia , Qi Tian

Inverse problems exist in many disciplines of science and engineering. In computer vision, for example, tasks such as inpainting, deblurring, and super resolution can be effectively modeled as inverse problems. Recently, denoising diffusion…

Computer Vision and Pattern Recognition · Computer Science 2024-12-31 Shayan Mohajer Hamidi , En-Hui Yang