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With the development of audio playback devices and fast data transmission, the demand for high sound quality is rising for both entertainment and communications. In this quest for better sound quality, challenges emerge from distortions and…

Audio and Speech Processing · Electrical Eng. & Systems 2024-11-12 Jean-Marie Lemercier , Julius Richter , Simon Welker , Eloi Moliner , Vesa Välimäki , Timo Gerkmann

With the rapid development of diffusion models and flow-based generative models, there has been a surge of interests in solving noisy linear inverse problems, e.g., super-resolution, deblurring, denoising, colorization, etc, with generative…

Machine Learning · Computer Science 2024-10-22 Xiangming Meng , Yoshiyuki Kabashima

Music inpainting aims to reconstruct missing segments of a corrupted recording. While diffusion-based generative models improve reconstruction for medium-length gaps, they often struggle to preserve musical plausibility over multi-second…

Audio and Speech Processing · Electrical Eng. & Systems 2025-09-23 Sean Turland , Eloi Moliner , Vesa Välimäki

Diffusion models have emerged as a powerful foundation model for visual generations. With an appropriate sampling process, it can effectively serve as a generative prior for solving general inverse problems. Current posterior sampling-based…

Computer Vision and Pattern Recognition · Computer Science 2025-07-01 Shijie Zhou , Huaisheng Zhu , Rohan Sharma , Jiayi Chen , Ruiyi Zhang , Kaiyi Ji , Changyou Chen

Diffusion models have demonstrated remarkable efficacy in generating high-quality samples. Existing diffusion-based image restoration algorithms exploit pre-trained diffusion models to leverage data priors, yet they still preserve elements…

Image and Video Processing · Electrical Eng. & Systems 2024-08-07 Hongjie Wu , Linchao He , Mingqin Zhang , Dongdong Chen , Kunming Luo , Mengting Luo , Ji-Zhe Zhou , Hu Chen , Jiancheng Lv

This report studies diffusion posterior sampling (DPS) for single-image super-resolution (SISR) under a known degradation model. We implement a likelihood-guided sampling procedure that combines an unconditional diffusion prior with…

Computer Vision and Pattern Recognition · Computer Science 2025-12-29 Abu Hanif Muhammad Syarubany

Recently, diffusion models (DMs) have been increasingly used in audio processing tasks, including speech super-resolution (SR), which aims to restore high-frequency content given low-resolution speech utterances. This is commonly achieved…

Audio and Speech Processing · Electrical Eng. & Systems 2024-10-22 Chin-Yun Yu , Sung-Lin Yeh , György Fazekas , Hao Tang

We provide a framework for solving inverse problems with diffusion models learned from linearly corrupted data. Firstly, we extend the Ambient Diffusion framework to enable training directly from measurements corrupted in the Fourier…

Computer Vision and Pattern Recognition · Computer Science 2025-04-23 Asad Aali , Giannis Daras , Brett Levac , Sidharth Kumar , Alexandros G. Dimakis , Jonathan I. Tamir

Inverse problems are fundamental to science and engineering, where the goal is to infer an underlying signal or state from incomplete or noisy measurements. Recent approaches employ diffusion models as powerful implicit priors for such…

Machine Learning · Computer Science 2025-11-27 Bilal Ahmed , Joseph G. Makin

Solving inverse problems with the reverse process of a diffusion model represents an appealing avenue to produce highly realistic, yet diverse solutions from incomplete and possibly noisy measurements, ultimately enabling uncertainty…

Geophysics · Physics 2025-01-10 Matteo Ravasi

Image restoration aims to recover high-quality images from degraded observations. When the degradation process is known, the recovery problem can be formulated as an inverse problem, and in a Bayesian context, the goal is to sample a clean…

Image and Video Processing · Electrical Eng. & Systems 2025-10-13 Darshan Thaker , Abhishek Goyal , René Vidal

Audio inpainting aims to reconstruct missing segments in corrupted recordings. Most of existing methods produce plausible reconstructions when the gap lengths are short, but struggle to reconstruct gaps larger than about 100 ms. This paper…

Audio and Speech Processing · Electrical Eng. & Systems 2025-01-13 Eloi Moliner , Vesa Välimäki

Diffusion models (DMs) have exhibited remarkable efficacy in various image restoration tasks. However, existing approaches typically operate within the high-dimensional pixel space, resulting in high computational overhead. While methods…

Computer Vision and Pattern Recognition · Computer Science 2026-05-15 Yang Zheng , Wen Li , Zhaoqiang Liu

Image restoration is a classic low-level problem aimed at recovering high-quality images from low-quality images with various degradations such as blur, noise, rain, haze, etc. However, due to the inherent complexity and non-uniqueness of…

Computer Vision and Pattern Recognition · Computer Science 2024-07-08 Yuhong Zhang , Hengsheng Zhang , Xinning Chai , Zhengxue Cheng , Rong Xie , Li Song , Wenjun Zhang

Unified image restoration is a significantly challenging task in low-level vision. Existing methods either make tailored designs for specific tasks, limiting their generalizability across various types of degradation, or rely on training…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Huaqiu Li , Yong Wang , Tongwen Huang , Hailang Huang , Haoqian Wang , Xiangxiang Chu

Diffusion models have shown strong performances in solving inverse problems through posterior sampling while they suffer from errors during earlier steps. To mitigate this issue, several Decoupled Posterior Sampling methods have been…

Machine Learning · Computer Science 2025-04-15 Zhi Qi , Shihong Yuan , Yulin Yuan , Linling Kuang , Yoshiyuki Kabashima , Xiangming Meng

Solving image inverse problems (e.g., super-resolution and inpainting) requires generating a high fidelity image that matches the given input (the low-resolution image or the masked image). By using the input image as guidance, we can…

Image and Video Processing · Electrical Eng. & Systems 2024-03-19 Haoyue Tang , Tian Xie , Aosong Feng , Hanyu Wang , Chenyang Zhang , Yang Bai

Audio inpainting seeks to restore missing segments in degraded recordings. Previous diffusion-based methods exhibit impaired performance when the missing region is large. We introduce the first approach that applies discrete diffusion over…

Sound · Computer Science 2026-02-18 Tali Dror , Iftach Shoham , Moshe Buchris , Oren Gal , Haim Permuter , Gilad Katz , Eliya Nachmani

Denoising diffusion probabilistic models (DDPMs) can be utilized to recover a clean signal from its degraded observation(s) by conditioning the model on the degraded signal. The degraded signals are themselves contaminated versions of the…

Image and Video Processing · Electrical Eng. & Systems 2025-06-10 Ching-Hua Lee , Chouchang Yang , Jaejin Cho , Yashas Malur Saidutta , Rakshith Sharma Srinivasa , Yilin Shen , Hongxia Jin

Diffusion Posterior Sampling(DPS) methodology is a novel framework that permits nonlinear CT reconstruction by integrating a diffusion prior and an analytic physical system model, allowing for one-time training for different applications.…

Image and Video Processing · Electrical Eng. & Systems 2024-07-19 Xiao Jiang , Shudong Li , Peiqing Teng , Grace Gang , J. Webster Stayman
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